TSTP Solution File: SWC168+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC168+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : Tue Apr 30 20:44:47 EDT 2024
% Result : Theorem 0.15s 0.55s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 43
% Syntax : Number of formulae : 202 ( 20 unt; 0 def)
% Number of atoms : 869 ( 166 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 1134 ( 467 ~; 473 |; 109 &)
% ( 34 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 29 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-2 aty)
% Number of variables : 252 ( 204 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( neq(U,V)
<=> U != V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( frontsegP(U,V)
<=> ? [W] :
( ssList(W)
& app(V,W) = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [U] :
( ssList(U)
=> ( strictorderedP(U)
<=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssItem(W)
=> ! [X] :
( ssList(X)
=> ! [Y] :
( ssList(Y)
=> ! [Z] :
( ssList(Z)
=> ( app(app(X,cons(V,Y)),cons(W,Z)) = U
=> lt(V,W) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> ssList(cons(V,U)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssItem(W)
=> ! [X] :
( ssItem(X)
=> ( cons(W,U) = cons(X,V)
=> ( W = X
& V = U ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [U] :
( ssList(U)
=> ( nil = U
| ? [V] :
( ssList(V)
& ? [W] :
( ssItem(W)
& cons(W,V) = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> nil != cons(V,U) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> tl(cons(V,U)) = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ssList(app(U,V)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( lt(U,V)
=> ~ lt(V,U) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( app(V,W) = app(V,U)
=> W = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssItem(V)
=> cons(V,U) = app(cons(V,nil),U) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> app(app(U,V),W) = app(U,app(V,W)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| V != X
| U != W
| ! [Y] :
( ssList(Y)
=> ! [Z] :
( ~ ssList(Z)
| app(app(Y,W),Z) != X
| ~ strictorderedP(W)
| ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssList(X2)
& app(X2,cons(X1,nil)) = Y
& ? [X3] :
( ssItem(X3)
& ? [X4] :
( ssList(X4)
& app(cons(X3,nil),X4) = W
& lt(X1,X3) ) ) ) )
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = Z
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = W
& lt(X7,X5) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ~ ssList(X12)
| app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) != U
| neq(X9,X10) ) ) ) )
| ( nil != X
& nil = W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ~ ssList(X)
| V != X
| U != W
| ! [Y] :
( ssList(Y)
=> ! [Z] :
( ~ ssList(Z)
| app(app(Y,W),Z) != X
| ~ strictorderedP(W)
| ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssList(X2)
& app(X2,cons(X1,nil)) = Y
& ? [X3] :
( ssItem(X3)
& ? [X4] :
( ssList(X4)
& app(cons(X3,nil),X4) = W
& lt(X1,X3) ) ) ) )
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = Z
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = W
& lt(X7,X5) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ~ ssList(X12)
| app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) != U
| neq(X9,X10) ) ) ) )
| ( nil != X
& nil = W ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
! [U] :
( ~ ssItem(U)
| ! [V] :
( ~ ssItem(V)
| ( neq(U,V)
<=> U != V ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f99,plain,
! [U] :
( ~ ssItem(U)
| ! [V] :
( ~ ssItem(V)
| ( ( ~ neq(U,V)
| U != V )
& ( neq(U,V)
| U = V ) ) ) ),
inference(NNF_transformation,[status(esa)],[f98]) ).
fof(f101,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| neq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f119,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ( frontsegP(U,V)
<=> ? [W] :
( ssList(W)
& app(V,W) = U ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f120,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ( ( ~ frontsegP(U,V)
| ? [W] :
( ssList(W)
& app(V,W) = U ) )
& ( frontsegP(U,V)
| ! [W] :
( ~ ssList(W)
| app(V,W) != U ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f119]) ).
fof(f121,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ( ( ~ frontsegP(U,V)
| ( ssList(sk0_5(V,U))
& app(V,sk0_5(V,U)) = U ) )
& ( frontsegP(U,V)
| ! [W] :
( ~ ssList(W)
| app(V,W) != U ) ) ) ) ),
inference(skolemization,[status(esa)],[f120]) ).
fof(f122,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ssList(sk0_5(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| app(X1,sk0_5(X1,X0)) = X0 ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(X0,X1)
| ~ ssList(X2)
| app(X1,X2) != X0 ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f185,plain,
! [U] :
( ~ ssList(U)
| ( strictorderedP(U)
<=> ! [V] :
( ~ ssItem(V)
| ! [W] :
( ~ ssItem(W)
| ! [X] :
( ~ ssList(X)
| ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| lt(V,W) ) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f186,plain,
! [U] :
( ~ ssList(U)
| ( ( ~ strictorderedP(U)
| ! [V] :
( ~ ssItem(V)
| ! [W] :
( ~ ssItem(W)
| ! [X] :
( ~ ssList(X)
| ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| lt(V,W) ) ) ) ) ) )
& ( strictorderedP(U)
| ? [V] :
( ssItem(V)
& ? [W] :
( ssItem(W)
& ? [X] :
( ssList(X)
& ? [Y] :
( ssList(Y)
& ? [Z] :
( ssList(Z)
& app(app(X,cons(V,Y)),cons(W,Z)) = U
& ~ lt(V,W) ) ) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f185]) ).
fof(f187,plain,
! [U] :
( ~ ssList(U)
| ( ( ~ strictorderedP(U)
| ! [V] :
( ~ ssItem(V)
| ! [W] :
( ~ ssItem(W)
| ! [X] :
( ~ ssList(X)
| ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| lt(V,W) ) ) ) ) ) )
& ( strictorderedP(U)
| ( ssItem(sk0_29(U))
& ssItem(sk0_30(U))
& ssList(sk0_31(U))
& ssList(sk0_32(U))
& ssList(sk0_33(U))
& app(app(sk0_31(U),cons(sk0_29(U),sk0_32(U))),cons(sk0_30(U),sk0_33(U))) = U
& ~ lt(sk0_29(U),sk0_30(U)) ) ) ) ),
inference(skolemization,[status(esa)],[f186]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssList(X0)
| ~ strictorderedP(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| lt(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f187]) ).
fof(f221,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssItem(V)
| ssList(cons(V,U)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f222,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f223,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f226,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ! [W] :
( ~ ssItem(W)
| ! [X] :
( ~ ssItem(X)
| cons(W,U) != cons(X,V)
| ( W = X
& V = U ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f227,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f226]) ).
fof(f228,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f226]) ).
fof(f229,plain,
! [U] :
( ~ ssList(U)
| nil = U
| ? [V] :
( ssList(V)
& ? [W] :
( ssItem(W)
& cons(W,V) = U ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f230,plain,
! [U] :
( ~ ssList(U)
| nil = U
| ( ssList(sk0_43(U))
& ssItem(sk0_44(U))
& cons(sk0_44(U),sk0_43(U)) = U ) ),
inference(skolemization,[status(esa)],[f229]) ).
fof(f231,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(sk0_43(X0)) ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f232,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(sk0_44(X0)) ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f233,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sk0_44(X0),sk0_43(X0)) = X0 ),
inference(cnf_transformation,[status(esa)],[f230]) ).
fof(f234,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssItem(V)
| nil != cons(V,U) ) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil != cons(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f234]) ).
fof(f242,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssItem(V)
| tl(cons(V,U)) = U ) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f243,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f244,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ssList(app(U,V)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f245,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f260,plain,
! [U] :
( ~ ssItem(U)
| ! [V] :
( ~ ssItem(V)
| ~ lt(U,V)
| ~ lt(V,U) ) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f261,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f260]) ).
fof(f377,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ! [W] :
( ~ ssList(W)
| app(V,W) != app(V,U)
| W = U ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f80]) ).
fof(f378,plain,
! [X0,X1,X2] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ),
inference(cnf_transformation,[status(esa)],[f377]) ).
fof(f379,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssItem(V)
| cons(V,U) = app(cons(V,nil),U) ) ),
inference(pre_NNF_transformation,[status(esa)],[f81]) ).
fof(f380,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[status(esa)],[f379]) ).
fof(f381,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ! [W] :
( ~ ssList(W)
| app(app(U,V),W) = app(U,app(V,W)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f82]) ).
fof(f382,plain,
! [X0,X1,X2] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f381]) ).
fof(f415,plain,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& V = X
& U = W
& ? [Y] :
( ssList(Y)
& ? [Z] :
( ssList(Z)
& app(app(Y,W),Z) = X
& strictorderedP(W)
& ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,cons(X1,nil)) != Y
| ! [X3] :
( ~ ssItem(X3)
| ! [X4] :
( ~ ssList(X4)
| app(cons(X3,nil),X4) != W
| ~ lt(X1,X3) ) ) ) )
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != Z
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != W
| ~ lt(X7,X5) ) ) ) ) ) )
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& ? [X12] :
( ssList(X12)
& app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) = U
& ~ neq(X9,X10) ) ) ) )
& ( nil = X
| nil != W ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f97]) ).
fof(f416,plain,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& V = X
& U = W
& ? [Y] :
( ssList(Y)
& ? [Z] :
( ssList(Z)
& app(app(Y,W),Z) = X
& strictorderedP(W)
& ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,cons(X1,nil)) != Y )
| ! [X3] :
( ~ ssItem(X3)
| ! [X4] :
( ~ ssList(X4)
| app(cons(X3,nil),X4) != W )
| ~ lt(X1,X3) ) )
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != Z )
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != W )
| ~ lt(X7,X5) ) ) ) )
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& ? [X12] :
( ssList(X12)
& app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) = U )
& ~ neq(X9,X10) ) ) )
& ( nil = X
| nil != W ) ) ) ) ),
inference(miniscoping,[status(esa)],[f415]) ).
fof(f417,plain,
( ssList(sk0_47)
& ssList(sk0_48)
& ssList(sk0_49)
& ssList(sk0_50)
& sk0_48 = sk0_50
& sk0_47 = sk0_49
& ssList(sk0_51)
& ssList(sk0_52)
& app(app(sk0_51,sk0_49),sk0_52) = sk0_50
& strictorderedP(sk0_49)
& ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,cons(X1,nil)) != sk0_51 )
| ! [X3] :
( ~ ssItem(X3)
| ! [X4] :
( ~ ssList(X4)
| app(cons(X3,nil),X4) != sk0_49 )
| ~ lt(X1,X3) ) )
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != sk0_52 )
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != sk0_49 )
| ~ lt(X7,X5) ) )
& ssItem(sk0_53)
& ssItem(sk0_54)
& ssList(sk0_55)
& ssList(sk0_56)
& app(app(app(sk0_55,cons(sk0_53,nil)),cons(sk0_54,nil)),sk0_56) = sk0_47
& ~ neq(sk0_53,sk0_54)
& ( nil = sk0_50
| nil != sk0_49 ) ),
inference(skolemization,[status(esa)],[f416]) ).
fof(f418,plain,
ssList(sk0_47),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f423,plain,
sk0_47 = sk0_49,
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f427,plain,
strictorderedP(sk0_49),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f430,plain,
ssItem(sk0_53),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f431,plain,
ssItem(sk0_54),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f432,plain,
ssList(sk0_55),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f433,plain,
ssList(sk0_56),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f434,plain,
app(app(app(sk0_55,cons(sk0_53,nil)),cons(sk0_54,nil)),sk0_56) = sk0_47,
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f435,plain,
~ neq(sk0_53,sk0_54),
inference(cnf_transformation,[status(esa)],[f417]) ).
fof(f448,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0)
| ~ ssList(X1) ),
inference(destructive_equality_resolution,[status(esa)],[f124]) ).
fof(f455,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(destructive_equality_resolution,[status(esa)],[f188]) ).
fof(f476,plain,
strictorderedP(sk0_47),
inference(forward_demodulation,[status(thm)],[f423,f427]) ).
fof(f482,plain,
( spl0_2
<=> ssItem(sk0_53) ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( ~ ssItem(sk0_53)
| spl0_2 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( spl0_3
<=> ssItem(sk0_54) ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( ~ ssItem(sk0_54)
| spl0_3 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( spl0_4
<=> sk0_53 = sk0_54 ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( sk0_53 = sk0_54
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( ~ ssItem(sk0_53)
| ~ ssItem(sk0_54)
| sk0_53 = sk0_54 ),
inference(resolution,[status(thm)],[f101,f435]) ).
fof(f492,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f491,f482,f485,f488]) ).
fof(f493,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f431]) ).
fof(f494,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f430]) ).
fof(f496,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( app(app(app(sk0_55,cons(sk0_53,nil)),cons(sk0_53,nil)),sk0_56) = sk0_47
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f489,f434]) ).
fof(f513,plain,
( spl0_8
<=> ssList(sk0_56) ),
introduced(split_symbol_definition) ).
fof(f515,plain,
( ~ ssList(sk0_56)
| spl0_8 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( spl0_9
<=> ssList(sk0_47) ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( ~ ssList(sk0_47)
| spl0_9 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f534,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f433]) ).
fof(f535,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f534]) ).
fof(f543,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f418]) ).
fof(f544,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f577,plain,
( spl0_20
<=> ssList(app(sk0_55,cons(sk0_53,nil))) ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( ~ ssList(app(sk0_55,cons(sk0_53,nil)))
| spl0_20 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( spl0_21
<=> ssList(cons(sk0_53,nil)) ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( ~ ssList(cons(sk0_53,nil))
| spl0_21 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f585,plain,
( spl0_22
<=> ssList(sk0_55) ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( ~ ssList(sk0_55)
| spl0_22 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( ~ ssList(sk0_55)
| ~ ssList(cons(sk0_53,nil))
| spl0_20 ),
inference(resolution,[status(thm)],[f579,f245]) ).
fof(f589,plain,
( ~ spl0_22
| ~ spl0_21
| spl0_20 ),
inference(split_clause,[status(thm)],[f588,f585,f580,f577]) ).
fof(f590,plain,
( spl0_23
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( ~ ssList(nil)
| spl0_23 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( ~ ssList(nil)
| ~ ssItem(sk0_53)
| spl0_21 ),
inference(resolution,[status(thm)],[f582,f222]) ).
fof(f594,plain,
( ~ spl0_23
| ~ spl0_2
| spl0_21 ),
inference(split_clause,[status(thm)],[f593,f590,f482,f580]) ).
fof(f595,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f223]) ).
fof(f596,plain,
spl0_23,
inference(contradiction_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( $false
| spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f587,f432]) ).
fof(f598,plain,
spl0_22,
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f722,plain,
( spl0_39
<=> sk0_47 = app(app(sk0_55,cons(sk0_53,nil)),app(cons(sk0_53,nil),sk0_56)) ),
introduced(split_symbol_definition) ).
fof(f723,plain,
( sk0_47 = app(app(sk0_55,cons(sk0_53,nil)),app(cons(sk0_53,nil),sk0_56))
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,plain,
( ~ ssList(app(sk0_55,cons(sk0_53,nil)))
| ~ ssList(cons(sk0_53,nil))
| ~ ssList(sk0_56)
| sk0_47 = app(app(sk0_55,cons(sk0_53,nil)),app(cons(sk0_53,nil),sk0_56))
| ~ spl0_4 ),
inference(paramodulation,[status(thm)],[f497,f382]) ).
fof(f726,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_8
| spl0_39
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f725,f577,f580,f513,f722,f488]) ).
fof(f894,plain,
! [X0,X1] :
( ~ ssList(cons(X0,X1))
| nil = cons(X0,X1)
| ~ ssList(sk0_43(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(sk0_44(cons(X0,X1)))
| ~ ssItem(X0)
| sk0_44(cons(X0,X1)) = X0 ),
inference(resolution,[status(thm)],[f233,f227]) ).
fof(f895,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| ~ ssList(sk0_43(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(sk0_44(cons(X0,X1)))
| ~ ssItem(X0)
| sk0_44(cons(X0,X1)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f894,f222]) ).
fof(f896,plain,
! [X0,X1] :
( ~ ssList(cons(X0,X1))
| nil = cons(X0,X1)
| ~ ssList(sk0_43(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(sk0_44(cons(X0,X1)))
| ~ ssItem(X0)
| X1 = sk0_43(cons(X0,X1)) ),
inference(resolution,[status(thm)],[f233,f228]) ).
fof(f897,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| ~ ssList(sk0_43(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(sk0_44(cons(X0,X1)))
| ~ ssItem(X0)
| X1 = sk0_43(cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f896,f222]) ).
fof(f914,plain,
! [X0,X1] :
( ~ ssList(X0)
| frontsegP(app(X0,X1),X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f448,f245]) ).
fof(f1013,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sk0_5(X0,app(X0,X1)))
| sk0_5(X0,app(X0,X1)) = X1 ),
inference(resolution,[status(thm)],[f123,f378]) ).
fof(f1014,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(sk0_5(X0,app(X0,X1)))
| sk0_5(X0,app(X0,X1)) = X1 ),
inference(duplicate_literals_removal,[status(esa)],[f1013]) ).
fof(f1015,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(sk0_5(X0,app(X0,X1)))
| sk0_5(X0,app(X0,X1)) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1014,f245]) ).
fof(f1115,plain,
( spl0_98
<=> ssList(app(cons(sk0_53,nil),sk0_56)) ),
introduced(split_symbol_definition) ).
fof(f1117,plain,
( ~ ssList(app(cons(sk0_53,nil),sk0_56))
| spl0_98 ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1118,plain,
( spl0_99
<=> sk0_47 = app(sk0_55,app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56))) ),
introduced(split_symbol_definition) ).
fof(f1119,plain,
( sk0_47 = app(sk0_55,app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56)))
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1121,plain,
( ~ ssList(sk0_55)
| ~ ssList(cons(sk0_53,nil))
| ~ ssList(app(cons(sk0_53,nil),sk0_56))
| sk0_47 = app(sk0_55,app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56)))
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f723,f382]) ).
fof(f1122,plain,
( ~ spl0_22
| ~ spl0_21
| ~ spl0_98
| spl0_99
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1121,f585,f580,f1115,f1118,f722]) ).
fof(f1161,plain,
( ~ ssList(cons(sk0_53,nil))
| ~ ssList(sk0_56)
| spl0_98 ),
inference(resolution,[status(thm)],[f1117,f245]) ).
fof(f1162,plain,
( ~ spl0_21
| ~ spl0_8
| spl0_98 ),
inference(split_clause,[status(thm)],[f1161,f580,f513,f1115]) ).
fof(f1165,plain,
( spl0_106
<=> ssList(app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56))) ),
introduced(split_symbol_definition) ).
fof(f1167,plain,
( ~ ssList(app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56)))
| spl0_106 ),
inference(component_clause,[status(thm)],[f1165]) ).
fof(f1173,plain,
( spl0_108
<=> frontsegP(sk0_47,sk0_55) ),
introduced(split_symbol_definition) ).
fof(f1176,plain,
( ~ ssList(sk0_55)
| frontsegP(sk0_47,sk0_55)
| ~ ssList(app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56)))
| ~ spl0_99 ),
inference(paramodulation,[status(thm)],[f1119,f914]) ).
fof(f1177,plain,
( ~ spl0_22
| spl0_108
| ~ spl0_106
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f1176,f585,f1173,f1165,f1118]) ).
fof(f1209,plain,
( ~ ssList(cons(sk0_53,nil))
| ~ ssList(app(cons(sk0_53,nil),sk0_56))
| spl0_106 ),
inference(resolution,[status(thm)],[f1167,f245]) ).
fof(f1210,plain,
( ~ spl0_21
| ~ spl0_98
| spl0_106 ),
inference(split_clause,[status(thm)],[f1209,f580,f1115,f1165]) ).
fof(f1475,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk0_5(X0,app(X0,X1)))
| sk0_5(X0,app(X0,X1)) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1015,f914]) ).
fof(f1479,plain,
( spl0_146
<=> ssList(sk0_5(sk0_55,sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f1481,plain,
( ~ ssList(sk0_5(sk0_55,sk0_47))
| spl0_146 ),
inference(component_clause,[status(thm)],[f1479]) ).
fof(f1482,plain,
( spl0_147
<=> sk0_5(sk0_55,app(sk0_55,app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56)))) = app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56)) ),
introduced(split_symbol_definition) ).
fof(f1483,plain,
( sk0_5(sk0_55,app(sk0_55,app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56)))) = app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56))
| ~ spl0_147 ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1485,plain,
( ~ ssList(sk0_55)
| ~ ssList(app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56)))
| ~ ssList(sk0_5(sk0_55,sk0_47))
| sk0_5(sk0_55,app(sk0_55,app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56)))) = app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56))
| ~ spl0_99 ),
inference(paramodulation,[status(thm)],[f1119,f1475]) ).
fof(f1486,plain,
( ~ spl0_22
| ~ spl0_106
| ~ spl0_146
| spl0_147
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f1485,f585,f1165,f1479,f1482,f1118]) ).
fof(f1511,plain,
( ~ ssList(sk0_47)
| ~ ssList(sk0_55)
| ~ frontsegP(sk0_47,sk0_55)
| spl0_146 ),
inference(resolution,[status(thm)],[f1481,f122]) ).
fof(f1512,plain,
( ~ spl0_9
| ~ spl0_22
| ~ spl0_108
| spl0_146 ),
inference(split_clause,[status(thm)],[f1511,f516,f585,f1173,f1479]) ).
fof(f1513,plain,
( sk0_5(sk0_55,sk0_47) = app(cons(sk0_53,nil),app(cons(sk0_53,nil),sk0_56))
| ~ spl0_99
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1119,f1483]) ).
fof(f1549,plain,
( spl0_156
<=> cons(sk0_53,app(cons(sk0_53,nil),sk0_56)) = sk0_5(sk0_55,sk0_47) ),
introduced(split_symbol_definition) ).
fof(f1550,plain,
( cons(sk0_53,app(cons(sk0_53,nil),sk0_56)) = sk0_5(sk0_55,sk0_47)
| ~ spl0_156 ),
inference(component_clause,[status(thm)],[f1549]) ).
fof(f1552,plain,
( ~ ssList(app(cons(sk0_53,nil),sk0_56))
| ~ ssItem(sk0_53)
| cons(sk0_53,app(cons(sk0_53,nil),sk0_56)) = sk0_5(sk0_55,sk0_47)
| ~ spl0_99
| ~ spl0_147 ),
inference(paramodulation,[status(thm)],[f1513,f380]) ).
fof(f1553,plain,
( ~ spl0_98
| ~ spl0_2
| spl0_156
| ~ spl0_99
| ~ spl0_147 ),
inference(split_clause,[status(thm)],[f1552,f1115,f482,f1549,f1118,f1482]) ).
fof(f1578,plain,
( spl0_161
<=> nil = sk0_5(sk0_55,sk0_47) ),
introduced(split_symbol_definition) ).
fof(f1723,plain,
( ~ ssList(app(cons(sk0_53,nil),sk0_56))
| ~ ssItem(sk0_53)
| nil != sk0_5(sk0_55,sk0_47)
| ~ spl0_156 ),
inference(paramodulation,[status(thm)],[f1550,f235]) ).
fof(f1724,plain,
( ~ spl0_98
| ~ spl0_2
| ~ spl0_161
| ~ spl0_156 ),
inference(split_clause,[status(thm)],[f1723,f1115,f482,f1578,f1549]) ).
fof(f1746,plain,
! [X0,X1] :
( ~ ssList(sk0_43(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(sk0_44(cons(X0,X1)))
| ~ ssItem(X0)
| sk0_44(cons(X0,X1)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f895,f235]) ).
fof(f1749,plain,
( spl0_185
<=> ssList(sk0_43(sk0_5(sk0_55,sk0_47))) ),
introduced(split_symbol_definition) ).
fof(f1751,plain,
( ~ ssList(sk0_43(sk0_5(sk0_55,sk0_47)))
| spl0_185 ),
inference(component_clause,[status(thm)],[f1749]) ).
fof(f1752,plain,
( spl0_186
<=> ssItem(sk0_44(cons(sk0_53,app(cons(sk0_53,nil),sk0_56)))) ),
introduced(split_symbol_definition) ).
fof(f1754,plain,
( ~ ssItem(sk0_44(cons(sk0_53,app(cons(sk0_53,nil),sk0_56))))
| spl0_186 ),
inference(component_clause,[status(thm)],[f1752]) ).
fof(f1755,plain,
( spl0_187
<=> sk0_44(cons(sk0_53,app(cons(sk0_53,nil),sk0_56))) = sk0_53 ),
introduced(split_symbol_definition) ).
fof(f1756,plain,
( sk0_44(cons(sk0_53,app(cons(sk0_53,nil),sk0_56))) = sk0_53
| ~ spl0_187 ),
inference(component_clause,[status(thm)],[f1755]) ).
fof(f1758,plain,
( ~ ssList(sk0_43(sk0_5(sk0_55,sk0_47)))
| ~ ssList(app(cons(sk0_53,nil),sk0_56))
| ~ ssItem(sk0_44(cons(sk0_53,app(cons(sk0_53,nil),sk0_56))))
| ~ ssItem(sk0_53)
| sk0_44(cons(sk0_53,app(cons(sk0_53,nil),sk0_56))) = sk0_53
| ~ spl0_156 ),
inference(paramodulation,[status(thm)],[f1550,f1746]) ).
fof(f1759,plain,
( ~ spl0_185
| ~ spl0_98
| ~ spl0_186
| ~ spl0_2
| spl0_187
| ~ spl0_156 ),
inference(split_clause,[status(thm)],[f1758,f1749,f1115,f1752,f482,f1755,f1549]) ).
fof(f1760,plain,
( ~ ssItem(sk0_44(sk0_5(sk0_55,sk0_47)))
| ~ spl0_156
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f1550,f1754]) ).
fof(f1761,plain,
! [X0,X1] :
( ~ ssList(sk0_43(cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(sk0_44(cons(X0,X1)))
| ~ ssItem(X0)
| X1 = sk0_43(cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f897,f235]) ).
fof(f1764,plain,
( spl0_188
<=> app(cons(sk0_53,nil),sk0_56) = sk0_43(cons(sk0_53,app(cons(sk0_53,nil),sk0_56))) ),
introduced(split_symbol_definition) ).
fof(f1765,plain,
( app(cons(sk0_53,nil),sk0_56) = sk0_43(cons(sk0_53,app(cons(sk0_53,nil),sk0_56)))
| ~ spl0_188 ),
inference(component_clause,[status(thm)],[f1764]) ).
fof(f1767,plain,
( ~ ssList(sk0_43(sk0_5(sk0_55,sk0_47)))
| ~ ssList(app(cons(sk0_53,nil),sk0_56))
| ~ ssItem(sk0_44(cons(sk0_53,app(cons(sk0_53,nil),sk0_56))))
| ~ ssItem(sk0_53)
| app(cons(sk0_53,nil),sk0_56) = sk0_43(cons(sk0_53,app(cons(sk0_53,nil),sk0_56)))
| ~ spl0_156 ),
inference(paramodulation,[status(thm)],[f1550,f1761]) ).
fof(f1768,plain,
( ~ spl0_185
| ~ spl0_98
| ~ spl0_186
| ~ spl0_2
| spl0_188
| ~ spl0_156 ),
inference(split_clause,[status(thm)],[f1767,f1749,f1115,f1752,f482,f1764,f1549]) ).
fof(f1815,plain,
( ~ ssList(sk0_5(sk0_55,sk0_47))
| nil = sk0_5(sk0_55,sk0_47)
| ~ spl0_156
| spl0_186 ),
inference(resolution,[status(thm)],[f1760,f232]) ).
fof(f1816,plain,
( ~ spl0_146
| spl0_161
| ~ spl0_156
| spl0_186 ),
inference(split_clause,[status(thm)],[f1815,f1479,f1578,f1549,f1752]) ).
fof(f1818,plain,
( ~ ssList(sk0_5(sk0_55,sk0_47))
| nil = sk0_5(sk0_55,sk0_47)
| spl0_185 ),
inference(resolution,[status(thm)],[f1751,f231]) ).
fof(f1819,plain,
( ~ spl0_146
| spl0_161
| spl0_185 ),
inference(split_clause,[status(thm)],[f1818,f1479,f1578,f1749]) ).
fof(f1820,plain,
( sk0_44(sk0_5(sk0_55,sk0_47)) = sk0_53
| ~ spl0_156
| ~ spl0_187 ),
inference(forward_demodulation,[status(thm)],[f1550,f1756]) ).
fof(f1821,plain,
( app(cons(sk0_53,nil),sk0_56) = sk0_43(sk0_5(sk0_55,sk0_47))
| ~ spl0_156
| ~ spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1550,f1765]) ).
fof(f1823,plain,
( spl0_197
<=> cons(sk0_53,sk0_43(sk0_5(sk0_55,sk0_47))) = sk0_5(sk0_55,sk0_47) ),
introduced(split_symbol_definition) ).
fof(f1824,plain,
( cons(sk0_53,sk0_43(sk0_5(sk0_55,sk0_47))) = sk0_5(sk0_55,sk0_47)
| ~ spl0_197 ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1826,plain,
( ~ ssList(sk0_5(sk0_55,sk0_47))
| nil = sk0_5(sk0_55,sk0_47)
| cons(sk0_53,sk0_43(sk0_5(sk0_55,sk0_47))) = sk0_5(sk0_55,sk0_47)
| ~ spl0_156
| ~ spl0_187 ),
inference(paramodulation,[status(thm)],[f1820,f233]) ).
fof(f1827,plain,
( ~ spl0_146
| spl0_161
| spl0_197
| ~ spl0_156
| ~ spl0_187 ),
inference(split_clause,[status(thm)],[f1826,f1479,f1578,f1823,f1549,f1755]) ).
fof(f1937,plain,
( spl0_212
<=> tl(sk0_5(sk0_55,sk0_47)) = sk0_43(sk0_5(sk0_55,sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f1938,plain,
( tl(sk0_5(sk0_55,sk0_47)) = sk0_43(sk0_5(sk0_55,sk0_47))
| ~ spl0_212 ),
inference(component_clause,[status(thm)],[f1937]) ).
fof(f1940,plain,
( ~ ssList(sk0_43(sk0_5(sk0_55,sk0_47)))
| ~ ssItem(sk0_53)
| tl(sk0_5(sk0_55,sk0_47)) = sk0_43(sk0_5(sk0_55,sk0_47))
| ~ spl0_197 ),
inference(paramodulation,[status(thm)],[f1824,f243]) ).
fof(f1941,plain,
( ~ spl0_185
| ~ spl0_2
| spl0_212
| ~ spl0_197 ),
inference(split_clause,[status(thm)],[f1940,f1749,f482,f1937,f1823]) ).
fof(f2167,plain,
( app(cons(sk0_53,nil),sk0_56) = tl(sk0_5(sk0_55,sk0_47))
| ~ spl0_212
| ~ spl0_156
| ~ spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1938,f1821]) ).
fof(f2180,plain,
( sk0_47 = app(app(sk0_55,cons(sk0_53,nil)),tl(sk0_5(sk0_55,sk0_47)))
| ~ spl0_212
| ~ spl0_156
| ~ spl0_188
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f2167,f723]) ).
fof(f2191,plain,
( spl0_258
<=> cons(sk0_53,sk0_56) = tl(sk0_5(sk0_55,sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f2192,plain,
( cons(sk0_53,sk0_56) = tl(sk0_5(sk0_55,sk0_47))
| ~ spl0_258 ),
inference(component_clause,[status(thm)],[f2191]) ).
fof(f2194,plain,
( ~ ssList(sk0_56)
| ~ ssItem(sk0_53)
| cons(sk0_53,sk0_56) = tl(sk0_5(sk0_55,sk0_47))
| ~ spl0_212
| ~ spl0_156
| ~ spl0_188 ),
inference(paramodulation,[status(thm)],[f2167,f380]) ).
fof(f2195,plain,
( ~ spl0_8
| ~ spl0_2
| spl0_258
| ~ spl0_212
| ~ spl0_156
| ~ spl0_188 ),
inference(split_clause,[status(thm)],[f2194,f513,f482,f2191,f1937,f1549,f1764]) ).
fof(f2275,plain,
( sk0_47 = app(app(sk0_55,cons(sk0_53,nil)),cons(sk0_53,sk0_56))
| ~ spl0_258
| ~ spl0_212
| ~ spl0_156
| ~ spl0_188
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f2192,f2180]) ).
fof(f2279,plain,
( spl0_272
<=> ssList(app(app(sk0_55,cons(sk0_53,nil)),cons(sk0_53,sk0_56))) ),
introduced(split_symbol_definition) ).
fof(f2281,plain,
( ~ ssList(app(app(sk0_55,cons(sk0_53,nil)),cons(sk0_53,sk0_56)))
| spl0_272 ),
inference(component_clause,[status(thm)],[f2279]) ).
fof(f2287,plain,
( spl0_274
<=> lt(sk0_53,sk0_53) ),
introduced(split_symbol_definition) ).
fof(f2288,plain,
( lt(sk0_53,sk0_53)
| ~ spl0_274 ),
inference(component_clause,[status(thm)],[f2287]) ).
fof(f2310,plain,
( spl0_279
<=> strictorderedP(sk0_47) ),
introduced(split_symbol_definition) ).
fof(f2312,plain,
( ~ strictorderedP(sk0_47)
| spl0_279 ),
inference(component_clause,[status(thm)],[f2310]) ).
fof(f2313,plain,
( ~ ssList(app(app(sk0_55,cons(sk0_53,nil)),cons(sk0_53,sk0_56)))
| ~ strictorderedP(sk0_47)
| ~ ssItem(sk0_53)
| ~ ssItem(sk0_53)
| ~ ssList(sk0_55)
| ~ ssList(nil)
| ~ ssList(sk0_56)
| lt(sk0_53,sk0_53)
| ~ spl0_258
| ~ spl0_212
| ~ spl0_156
| ~ spl0_188
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f2275,f455]) ).
fof(f2314,plain,
( ~ spl0_272
| ~ spl0_279
| ~ spl0_2
| ~ spl0_22
| ~ spl0_23
| ~ spl0_8
| spl0_274
| ~ spl0_258
| ~ spl0_212
| ~ spl0_156
| ~ spl0_188
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f2313,f2279,f2310,f482,f585,f590,f513,f2287,f2191,f1937,f1549,f1764,f722]) ).
fof(f2405,plain,
( $false
| spl0_279 ),
inference(forward_subsumption_resolution,[status(thm)],[f2312,f476]) ).
fof(f2406,plain,
spl0_279,
inference(contradiction_clause,[status(thm)],[f2405]) ).
fof(f2407,plain,
( ~ ssList(sk0_47)
| ~ spl0_258
| ~ spl0_212
| ~ spl0_156
| ~ spl0_188
| ~ spl0_39
| spl0_272 ),
inference(forward_demodulation,[status(thm)],[f2275,f2281]) ).
fof(f2408,plain,
( $false
| ~ spl0_258
| ~ spl0_212
| ~ spl0_156
| ~ spl0_188
| ~ spl0_39
| spl0_272 ),
inference(forward_subsumption_resolution,[status(thm)],[f2407,f418]) ).
fof(f2409,plain,
( ~ spl0_258
| ~ spl0_212
| ~ spl0_156
| ~ spl0_188
| ~ spl0_39
| spl0_272 ),
inference(contradiction_clause,[status(thm)],[f2408]) ).
fof(f2434,plain,
( ~ ssItem(sk0_53)
| ~ ssItem(sk0_53)
| ~ lt(sk0_53,sk0_53)
| ~ spl0_274 ),
inference(resolution,[status(thm)],[f2288,f261]) ).
fof(f2435,plain,
( ~ spl0_2
| ~ spl0_274 ),
inference(split_clause,[status(thm)],[f2434,f482,f2287]) ).
fof(f2438,plain,
$false,
inference(sat_refutation,[status(thm)],[f492,f494,f496,f535,f544,f589,f594,f596,f598,f726,f1122,f1162,f1177,f1210,f1486,f1512,f1553,f1724,f1759,f1768,f1816,f1819,f1827,f1941,f2195,f2314,f2406,f2409,f2435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SWC168+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n011.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue Apr 30 00:12:31 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.34 % Drodi V3.6.0
% 0.15/0.55 % Refutation found
% 0.15/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.61/0.57 % Elapsed time: 0.239540 seconds
% 1.61/0.57 % CPU time: 1.696122 seconds
% 1.61/0.57 % Total memory used: 84.496 MB
% 1.61/0.57 % Net memory used: 83.128 MB
%------------------------------------------------------------------------------