TSTP Solution File: SWC340+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC340+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 May 31 12:40:06 EDT 2023
% Result : Theorem 202.73s 25.96s
% Output : CNFRefutation 203.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 64
% Syntax : Number of formulae : 293 ( 66 unt; 0 def)
% Number of atoms : 776 ( 108 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 746 ( 263 ~; 310 |; 76 &)
% ( 62 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 61 ( 59 usr; 51 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-2 aty)
% Number of variables : 173 (; 145 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
? [U] :
( ssItem(U)
& ? [V] :
( ssItem(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(f6,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( rearsegP(U,V)
<=> ? [W] :
( ssList(W)
& app(W,V) = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( segmentP(U,V)
<=> ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& app(app(W,V),X) = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [U] :
( ssList(U)
=> ( totalorderedP(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
=> leq(V,W) ) ) ) ) ) ) ) ),
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(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [U] :
( ssList(U)
=> app(nil,U) = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [U] :
( ssList(U)
=> frontsegP(U,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [U] :
( ssList(U)
=> rearsegP(U,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( ssList(U)
=> segmentP(U,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [U] :
( ssList(U)
=> app(U,nil) = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( lt(U,V)
<=> ( U != V
& leq(U,V) ) ) ) ),
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
| ~ segmentP(X,W)
| ~ strictorderedP(W)
| ( segmentP(V,U)
& totalorderedP(U) ) ) ) ) ) ),
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
| ~ segmentP(X,W)
| ~ strictorderedP(W)
| ( segmentP(V,U)
& totalorderedP(U) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f102,plain,
( ssItem(sk0_0)
& ssItem(sk0_1)
& sk0_0 != sk0_1 ),
inference(skolemization,[status(esa)],[f2]) ).
fof(f103,plain,
ssItem(sk0_0),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f104,plain,
ssItem(sk0_1),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f105,plain,
sk0_0 != sk0_1,
inference(cnf_transformation,[status(esa)],[f102]) ).
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(f125,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ( rearsegP(U,V)
<=> ? [W] :
( ssList(W)
& app(W,V) = U ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f126,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ( ( ~ rearsegP(U,V)
| ? [W] :
( ssList(W)
& app(W,V) = U ) )
& ( rearsegP(U,V)
| ! [W] :
( ~ ssList(W)
| app(W,V) != U ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f125]) ).
fof(f127,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ( ( ~ rearsegP(U,V)
| ( ssList(sk0_6(V,U))
& app(sk0_6(V,U),V) = U ) )
& ( rearsegP(U,V)
| ! [W] :
( ~ ssList(W)
| app(W,V) != U ) ) ) ) ),
inference(skolemization,[status(esa)],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| ssList(sk0_6(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f131,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ( segmentP(U,V)
<=> ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& app(app(W,V),X) = U ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f132,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ( ( ~ segmentP(U,V)
| ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& app(app(W,V),X) = U ) ) )
& ( segmentP(U,V)
| ! [W] :
( ~ ssList(W)
| ! [X] :
( ~ ssList(X)
| app(app(W,V),X) != U ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f131]) ).
fof(f133,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ( ( ~ segmentP(U,V)
| ( ssList(sk0_7(V,U))
& ssList(sk0_8(V,U))
& app(app(sk0_7(V,U),V),sk0_8(V,U)) = U ) )
& ( segmentP(U,V)
| ! [W] :
( ~ ssList(W)
| ! [X] :
( ~ ssList(X)
| app(app(W,V),X) != U ) ) ) ) ) ),
inference(skolemization,[status(esa)],[f132]) ).
fof(f134,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ssList(sk0_7(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f135,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ssList(sk0_8(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f174,plain,
! [U] :
( ~ ssList(U)
| ( totalorderedP(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
| leq(V,W) ) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f175,plain,
! [U] :
( ~ ssList(U)
| ( ( ~ totalorderedP(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
| leq(V,W) ) ) ) ) ) )
& ( totalorderedP(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
& ~ leq(V,W) ) ) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f174]) ).
fof(f176,plain,
! [U] :
( ~ ssList(U)
| ( ( ~ totalorderedP(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
| leq(V,W) ) ) ) ) ) )
& ( totalorderedP(U)
| ( ssItem(sk0_24(U))
& ssItem(sk0_25(U))
& ssList(sk0_26(U))
& ssList(sk0_27(U))
& ssList(sk0_28(U))
& app(app(sk0_26(U),cons(sk0_24(U),sk0_27(U))),cons(sk0_25(U),sk0_28(U))) = U
& ~ leq(sk0_24(U),sk0_25(U)) ) ) ) ),
inference(skolemization,[status(esa)],[f175]) ).
fof(f178,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ssItem(sk0_24(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f179,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ssItem(sk0_25(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f180,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ssList(sk0_26(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f181,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ssList(sk0_27(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f182,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ssList(sk0_28(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f183,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(sk0_26(X0),cons(sk0_24(X0),sk0_27(X0))),cons(sk0_25(X0),sk0_28(X0))) = X0 ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f184,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(sk0_24(X0),sk0_25(X0)) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
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(f223,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f248,plain,
! [U] :
( ~ ssList(U)
| app(nil,U) = U ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f249,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f294,plain,
! [U] :
( ~ ssList(U)
| frontsegP(U,nil) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f295,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf_transformation,[status(esa)],[f294]) ).
fof(f308,plain,
! [U] :
( ~ ssList(U)
| rearsegP(U,nil) ),
inference(pre_NNF_transformation,[status(esa)],[f51]) ).
fof(f309,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
inference(cnf_transformation,[status(esa)],[f308]) ).
fof(f322,plain,
! [U] :
( ~ ssList(U)
| segmentP(U,nil) ),
inference(pre_NNF_transformation,[status(esa)],[f57]) ).
fof(f323,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[status(esa)],[f322]) ).
fof(f388,plain,
! [U] :
( ~ ssList(U)
| app(U,nil) = U ),
inference(pre_NNF_transformation,[status(esa)],[f84]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[status(esa)],[f388]) ).
fof(f406,plain,
! [U] :
( ~ ssItem(U)
| ! [V] :
( ~ ssItem(V)
| ( lt(U,V)
<=> ( U != V
& leq(U,V) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f93]) ).
fof(f407,plain,
! [U] :
( ~ ssItem(U)
| ! [V] :
( ~ ssItem(V)
| ( ( ~ lt(U,V)
| ( U != V
& leq(U,V) ) )
& ( lt(U,V)
| U = V
| ~ leq(U,V) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f406]) ).
fof(f409,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f407]) ).
fof(f415,plain,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& V = X
& U = W
& segmentP(X,W)
& strictorderedP(W)
& ( ~ segmentP(V,U)
| ~ totalorderedP(U) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f97]) ).
fof(f416,plain,
( ssList(sk0_47)
& ssList(sk0_48)
& ssList(sk0_49)
& ssList(sk0_50)
& sk0_48 = sk0_50
& sk0_47 = sk0_49
& segmentP(sk0_50,sk0_49)
& strictorderedP(sk0_49)
& ( ~ segmentP(sk0_48,sk0_47)
| ~ totalorderedP(sk0_47) ) ),
inference(skolemization,[status(esa)],[f415]) ).
fof(f417,plain,
ssList(sk0_47),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f418,plain,
ssList(sk0_48),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f421,plain,
sk0_48 = sk0_50,
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f422,plain,
sk0_47 = sk0_49,
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f423,plain,
segmentP(sk0_50,sk0_49),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f424,plain,
strictorderedP(sk0_49),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f425,plain,
( ~ segmentP(sk0_48,sk0_47)
| ~ totalorderedP(sk0_47) ),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f426,plain,
( spl0_0
<=> segmentP(sk0_48,sk0_47) ),
introduced(split_symbol_definition) ).
fof(f428,plain,
( ~ segmentP(sk0_48,sk0_47)
| spl0_0 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( spl0_1
<=> totalorderedP(sk0_47) ),
introduced(split_symbol_definition) ).
fof(f431,plain,
( ~ totalorderedP(sk0_47)
| spl0_1 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f425,f426,f429]) ).
fof(f444,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(f465,plain,
strictorderedP(sk0_47),
inference(forward_demodulation,[status(thm)],[f422,f424]) ).
fof(f466,plain,
segmentP(sk0_48,sk0_49),
inference(forward_demodulation,[status(thm)],[f421,f423]) ).
fof(f467,plain,
segmentP(sk0_48,sk0_47),
inference(forward_demodulation,[status(thm)],[f422,f466]) ).
fof(f468,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f467]) ).
fof(f469,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f468]) ).
fof(f486,plain,
( spl0_6
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( ~ ssList(nil)
| spl0_6 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f492,plain,
( spl0_8
<=> ssList(sk0_47) ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( ~ ssList(sk0_47)
| spl0_8 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f497,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f494,f417]) ).
fof(f498,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f497]) ).
fof(f507,plain,
( spl0_10
<=> ssList(sk0_48) ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( ~ ssList(sk0_48)
| spl0_10 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f538,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f418]) ).
fof(f539,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f670,plain,
( spl0_26
<=> ssItem(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( ~ ssItem(sk0_0)
| spl0_26 ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f678,plain,
( spl0_27
<=> ssItem(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f680,plain,
( ~ ssItem(sk0_1)
| spl0_27 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f683,plain,
( spl0_28
<=> ssList(sk0_26(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f686,plain,
( totalorderedP(sk0_47)
| ssList(sk0_26(sk0_47)) ),
inference(resolution,[status(thm)],[f180,f417]) ).
fof(f687,plain,
( spl0_1
| spl0_28 ),
inference(split_clause,[status(thm)],[f686,f429,f683]) ).
fof(f688,plain,
( spl0_29
<=> ssList(sk0_27(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f691,plain,
( totalorderedP(sk0_47)
| ssList(sk0_27(sk0_47)) ),
inference(resolution,[status(thm)],[f181,f417]) ).
fof(f692,plain,
( spl0_1
| spl0_29 ),
inference(split_clause,[status(thm)],[f691,f429,f688]) ).
fof(f693,plain,
( spl0_30
<=> ssList(sk0_28(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f696,plain,
( totalorderedP(sk0_47)
| ssList(sk0_28(sk0_47)) ),
inference(resolution,[status(thm)],[f182,f417]) ).
fof(f697,plain,
( spl0_1
| spl0_30 ),
inference(split_clause,[status(thm)],[f696,f429,f693]) ).
fof(f732,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f488]) ).
fof(f733,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f732]) ).
fof(f734,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f680,f104]) ).
fof(f735,plain,
spl0_27,
inference(contradiction_clause,[status(thm)],[f734]) ).
fof(f745,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(X0,nil)
| ssList(sk0_8(nil,X0)) ),
inference(resolution,[status(thm)],[f223,f135]) ).
fof(f746,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sk0_8(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f323]) ).
fof(f747,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(X0,nil)
| ssList(sk0_7(nil,X0)) ),
inference(resolution,[status(thm)],[f223,f134]) ).
fof(f748,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sk0_7(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f747,f323]) ).
fof(f749,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(X0,nil)
| ssList(sk0_6(nil,X0)) ),
inference(resolution,[status(thm)],[f223,f128]) ).
fof(f750,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sk0_6(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f309]) ).
fof(f751,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ssList(sk0_5(nil,X0)) ),
inference(resolution,[status(thm)],[f223,f122]) ).
fof(f752,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sk0_5(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f751,f295]) ).
fof(f795,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f103]) ).
fof(f796,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f795]) ).
fof(f1921,plain,
ssList(sk0_8(nil,nil)),
inference(resolution,[status(thm)],[f746,f223]) ).
fof(f1922,plain,
ssList(sk0_8(nil,sk0_47)),
inference(resolution,[status(thm)],[f746,f417]) ).
fof(f2241,plain,
ssList(sk0_7(nil,nil)),
inference(resolution,[status(thm)],[f748,f223]) ).
fof(f2242,plain,
ssList(sk0_7(nil,sk0_47)),
inference(resolution,[status(thm)],[f748,f417]) ).
fof(f2635,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[f249,f223]) ).
fof(f2636,plain,
app(nil,sk0_47) = sk0_47,
inference(resolution,[status(thm)],[f249,f417]) ).
fof(f2696,plain,
app(sk0_47,nil) = sk0_47,
inference(resolution,[status(thm)],[f389,f417]) ).
fof(f2732,plain,
ssList(sk0_6(nil,nil)),
inference(resolution,[status(thm)],[f750,f223]) ).
fof(f2733,plain,
ssList(sk0_6(nil,sk0_47)),
inference(resolution,[status(thm)],[f750,f417]) ).
fof(f3080,plain,
ssList(sk0_5(nil,nil)),
inference(resolution,[status(thm)],[f752,f223]) ).
fof(f3081,plain,
ssList(sk0_5(nil,sk0_47)),
inference(resolution,[status(thm)],[f752,f417]) ).
fof(f4104,plain,
( spl0_460
<=> ssList(sk0_8(nil,nil)) ),
introduced(split_symbol_definition) ).
fof(f4106,plain,
( ~ ssList(sk0_8(nil,nil))
| spl0_460 ),
inference(component_clause,[status(thm)],[f4104]) ).
fof(f4109,plain,
( $false
| spl0_460 ),
inference(forward_subsumption_resolution,[status(thm)],[f4106,f1921]) ).
fof(f4110,plain,
spl0_460,
inference(contradiction_clause,[status(thm)],[f4109]) ).
fof(f4116,plain,
( spl0_462
<=> ssList(sk0_8(nil,sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f4118,plain,
( ~ ssList(sk0_8(nil,sk0_47))
| spl0_462 ),
inference(component_clause,[status(thm)],[f4116]) ).
fof(f4121,plain,
( $false
| spl0_462 ),
inference(forward_subsumption_resolution,[status(thm)],[f4118,f1922]) ).
fof(f4122,plain,
spl0_462,
inference(contradiction_clause,[status(thm)],[f4121]) ).
fof(f4128,plain,
( spl0_464
<=> ssList(sk0_7(nil,nil)) ),
introduced(split_symbol_definition) ).
fof(f4130,plain,
( ~ ssList(sk0_7(nil,nil))
| spl0_464 ),
inference(component_clause,[status(thm)],[f4128]) ).
fof(f4133,plain,
( $false
| spl0_464 ),
inference(forward_subsumption_resolution,[status(thm)],[f4130,f2241]) ).
fof(f4134,plain,
spl0_464,
inference(contradiction_clause,[status(thm)],[f4133]) ).
fof(f4140,plain,
( spl0_466
<=> ssList(sk0_7(nil,sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f4142,plain,
( ~ ssList(sk0_7(nil,sk0_47))
| spl0_466 ),
inference(component_clause,[status(thm)],[f4140]) ).
fof(f4145,plain,
( $false
| spl0_466 ),
inference(forward_subsumption_resolution,[status(thm)],[f4142,f2242]) ).
fof(f4146,plain,
spl0_466,
inference(contradiction_clause,[status(thm)],[f4145]) ).
fof(f4152,plain,
( spl0_468
<=> ssList(sk0_6(nil,nil)) ),
introduced(split_symbol_definition) ).
fof(f4154,plain,
( ~ ssList(sk0_6(nil,nil))
| spl0_468 ),
inference(component_clause,[status(thm)],[f4152]) ).
fof(f4157,plain,
( $false
| spl0_468 ),
inference(forward_subsumption_resolution,[status(thm)],[f4154,f2732]) ).
fof(f4158,plain,
spl0_468,
inference(contradiction_clause,[status(thm)],[f4157]) ).
fof(f4164,plain,
( spl0_470
<=> ssList(sk0_6(nil,sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f4166,plain,
( ~ ssList(sk0_6(nil,sk0_47))
| spl0_470 ),
inference(component_clause,[status(thm)],[f4164]) ).
fof(f4169,plain,
( $false
| spl0_470 ),
inference(forward_subsumption_resolution,[status(thm)],[f4166,f2733]) ).
fof(f4170,plain,
spl0_470,
inference(contradiction_clause,[status(thm)],[f4169]) ).
fof(f4482,plain,
( spl0_498
<=> ssList(sk0_5(nil,nil)) ),
introduced(split_symbol_definition) ).
fof(f4484,plain,
( ~ ssList(sk0_5(nil,nil))
| spl0_498 ),
inference(component_clause,[status(thm)],[f4482]) ).
fof(f4487,plain,
( $false
| spl0_498 ),
inference(forward_subsumption_resolution,[status(thm)],[f4484,f3080]) ).
fof(f4488,plain,
spl0_498,
inference(contradiction_clause,[status(thm)],[f4487]) ).
fof(f4494,plain,
( spl0_500
<=> ssList(sk0_5(nil,sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f4496,plain,
( ~ ssList(sk0_5(nil,sk0_47))
| spl0_500 ),
inference(component_clause,[status(thm)],[f4494]) ).
fof(f4499,plain,
( $false
| spl0_500 ),
inference(forward_subsumption_resolution,[status(thm)],[f4496,f3081]) ).
fof(f4500,plain,
spl0_500,
inference(contradiction_clause,[status(thm)],[f4499]) ).
fof(f6228,plain,
( spl0_705
<=> ssItem(sk0_24(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f6231,plain,
( ~ ssList(sk0_47)
| ssItem(sk0_24(sk0_47))
| spl0_1 ),
inference(resolution,[status(thm)],[f178,f431]) ).
fof(f6232,plain,
( ~ spl0_8
| spl0_705
| spl0_1 ),
inference(split_clause,[status(thm)],[f6231,f492,f6228,f429]) ).
fof(f6734,plain,
( spl0_775
<=> ssItem(sk0_25(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f6737,plain,
( ~ ssList(sk0_47)
| ssItem(sk0_25(sk0_47))
| spl0_1 ),
inference(resolution,[status(thm)],[f179,f431]) ).
fof(f6738,plain,
( ~ spl0_8
| spl0_775
| spl0_1 ),
inference(split_clause,[status(thm)],[f6737,f492,f6734,f429]) ).
fof(f6869,plain,
( spl0_797
<=> app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47))) = sk0_47 ),
introduced(split_symbol_definition) ).
fof(f6870,plain,
( app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47))) = sk0_47
| ~ spl0_797 ),
inference(component_clause,[status(thm)],[f6869]) ).
fof(f6872,plain,
( ~ ssList(sk0_47)
| app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47))) = sk0_47
| spl0_1 ),
inference(resolution,[status(thm)],[f183,f431]) ).
fof(f6873,plain,
( ~ spl0_8
| spl0_797
| spl0_1 ),
inference(split_clause,[status(thm)],[f6872,f492,f6869,f429]) ).
fof(f6939,plain,
( spl0_806
<=> lt(sk0_24(sk0_47),sk0_25(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f6940,plain,
( lt(sk0_24(sk0_47),sk0_25(sk0_47))
| ~ spl0_806 ),
inference(component_clause,[status(thm)],[f6939]) ).
fof(f6950,plain,
( spl0_809
<=> leq(sk0_24(sk0_47),sk0_25(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f6951,plain,
( leq(sk0_24(sk0_47),sk0_25(sk0_47))
| ~ spl0_809 ),
inference(component_clause,[status(thm)],[f6950]) ).
fof(f6963,plain,
( spl0_812
<=> strictorderedP(app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47)))) ),
introduced(split_symbol_definition) ).
fof(f6965,plain,
( ~ strictorderedP(app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47))))
| spl0_812 ),
inference(component_clause,[status(thm)],[f6963]) ).
fof(f6966,plain,
( ~ ssList(sk0_47)
| ~ strictorderedP(app(app(sk0_26(sk0_47),cons(sk0_24(sk0_47),sk0_27(sk0_47))),cons(sk0_25(sk0_47),sk0_28(sk0_47))))
| ~ ssItem(sk0_24(sk0_47))
| ~ ssItem(sk0_25(sk0_47))
| ~ ssList(sk0_26(sk0_47))
| ~ ssList(sk0_27(sk0_47))
| ~ ssList(sk0_28(sk0_47))
| lt(sk0_24(sk0_47),sk0_25(sk0_47))
| ~ spl0_797 ),
inference(paramodulation,[status(thm)],[f6870,f444]) ).
fof(f6967,plain,
( ~ spl0_8
| ~ spl0_812
| ~ spl0_705
| ~ spl0_775
| ~ spl0_28
| ~ spl0_29
| ~ spl0_30
| spl0_806
| ~ spl0_797 ),
inference(split_clause,[status(thm)],[f6966,f492,f6963,f6228,f6734,f683,f688,f693,f6939,f6869]) ).
fof(f7044,plain,
( ~ strictorderedP(sk0_47)
| ~ spl0_797
| spl0_812 ),
inference(forward_demodulation,[status(thm)],[f6870,f6965]) ).
fof(f7045,plain,
( $false
| ~ spl0_797
| spl0_812 ),
inference(forward_subsumption_resolution,[status(thm)],[f7044,f465]) ).
fof(f7046,plain,
( ~ spl0_797
| spl0_812 ),
inference(contradiction_clause,[status(thm)],[f7045]) ).
fof(f7279,plain,
( spl0_862
<=> cons(sk0_1,sk0_26(sk0_47)) = cons(sk0_1,sk0_26(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f7281,plain,
( cons(sk0_1,sk0_26(sk0_47)) != cons(sk0_1,sk0_26(sk0_47))
| spl0_862 ),
inference(component_clause,[status(thm)],[f7279]) ).
fof(f7326,plain,
( $false
| spl0_862 ),
inference(trivial_equality_resolution,[status(esa)],[f7281]) ).
fof(f7327,plain,
spl0_862,
inference(contradiction_clause,[status(thm)],[f7326]) ).
fof(f7481,plain,
( spl0_902
<=> cons(sk0_0,sk0_26(sk0_47)) = cons(sk0_0,sk0_26(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f7483,plain,
( cons(sk0_0,sk0_26(sk0_47)) != cons(sk0_0,sk0_26(sk0_47))
| spl0_902 ),
inference(component_clause,[status(thm)],[f7481]) ).
fof(f7516,plain,
( $false
| spl0_902 ),
inference(trivial_equality_resolution,[status(esa)],[f7483]) ).
fof(f7517,plain,
spl0_902,
inference(contradiction_clause,[status(thm)],[f7516]) ).
fof(f8099,plain,
( spl0_1017
<=> cons(sk0_24(sk0_47),sk0_26(sk0_47)) = cons(sk0_24(sk0_47),sk0_26(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f8101,plain,
( cons(sk0_24(sk0_47),sk0_26(sk0_47)) != cons(sk0_24(sk0_47),sk0_26(sk0_47))
| spl0_1017 ),
inference(component_clause,[status(thm)],[f8099]) ).
fof(f8134,plain,
( $false
| spl0_1017 ),
inference(trivial_equality_resolution,[status(esa)],[f8101]) ).
fof(f8135,plain,
spl0_1017,
inference(contradiction_clause,[status(thm)],[f8134]) ).
fof(f10416,plain,
( spl0_1293
<=> cons(sk0_1,sk0_27(sk0_47)) = cons(sk0_1,sk0_27(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f10418,plain,
( cons(sk0_1,sk0_27(sk0_47)) != cons(sk0_1,sk0_27(sk0_47))
| spl0_1293 ),
inference(component_clause,[status(thm)],[f10416]) ).
fof(f10463,plain,
( $false
| spl0_1293 ),
inference(trivial_equality_resolution,[status(esa)],[f10418]) ).
fof(f10464,plain,
spl0_1293,
inference(contradiction_clause,[status(thm)],[f10463]) ).
fof(f10553,plain,
( spl0_1320
<=> cons(sk0_0,sk0_27(sk0_47)) = cons(sk0_0,sk0_27(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f10555,plain,
( cons(sk0_0,sk0_27(sk0_47)) != cons(sk0_0,sk0_27(sk0_47))
| spl0_1320 ),
inference(component_clause,[status(thm)],[f10553]) ).
fof(f10588,plain,
( $false
| spl0_1320 ),
inference(trivial_equality_resolution,[status(esa)],[f10555]) ).
fof(f10589,plain,
spl0_1320,
inference(contradiction_clause,[status(thm)],[f10588]) ).
fof(f11184,plain,
( spl0_1431
<=> strictorderedP(sk0_47) ),
introduced(split_symbol_definition) ).
fof(f11186,plain,
( ~ strictorderedP(sk0_47)
| spl0_1431 ),
inference(component_clause,[status(thm)],[f11184]) ).
fof(f12663,plain,
( spl0_1669
<=> cons(sk0_1,sk0_28(sk0_47)) = cons(sk0_1,sk0_28(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f12665,plain,
( cons(sk0_1,sk0_28(sk0_47)) != cons(sk0_1,sk0_28(sk0_47))
| spl0_1669 ),
inference(component_clause,[status(thm)],[f12663]) ).
fof(f12712,plain,
( $false
| spl0_1669 ),
inference(trivial_equality_resolution,[status(esa)],[f12665]) ).
fof(f12713,plain,
spl0_1669,
inference(contradiction_clause,[status(thm)],[f12712]) ).
fof(f12807,plain,
( spl0_1696
<=> cons(sk0_0,sk0_28(sk0_47)) = cons(sk0_0,sk0_28(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f12809,plain,
( cons(sk0_0,sk0_28(sk0_47)) != cons(sk0_0,sk0_28(sk0_47))
| spl0_1696 ),
inference(component_clause,[status(thm)],[f12807]) ).
fof(f12844,plain,
( $false
| spl0_1696 ),
inference(trivial_equality_resolution,[status(esa)],[f12809]) ).
fof(f12845,plain,
spl0_1696,
inference(contradiction_clause,[status(thm)],[f12844]) ).
fof(f13988,plain,
( spl0_1867
<=> cons(sk0_1,sk0_47) = cons(sk0_1,sk0_47) ),
introduced(split_symbol_definition) ).
fof(f13990,plain,
( cons(sk0_1,sk0_47) != cons(sk0_1,sk0_47)
| spl0_1867 ),
inference(component_clause,[status(thm)],[f13988]) ).
fof(f13996,plain,
( spl0_1869
<=> sk0_0 = sk0_1 ),
introduced(split_symbol_definition) ).
fof(f13997,plain,
( sk0_0 = sk0_1
| ~ spl0_1869 ),
inference(component_clause,[status(thm)],[f13996]) ).
fof(f14001,plain,
( $false
| spl0_1867 ),
inference(trivial_equality_resolution,[status(esa)],[f13990]) ).
fof(f14002,plain,
spl0_1867,
inference(contradiction_clause,[status(thm)],[f14001]) ).
fof(f14157,plain,
( spl0_1879
<=> cons(sk0_0,sk0_47) = cons(sk0_0,sk0_47) ),
introduced(split_symbol_definition) ).
fof(f14159,plain,
( cons(sk0_0,sk0_47) != cons(sk0_0,sk0_47)
| spl0_1879 ),
inference(component_clause,[status(thm)],[f14157]) ).
fof(f14162,plain,
( $false
| spl0_1879 ),
inference(trivial_equality_resolution,[status(esa)],[f14159]) ).
fof(f14163,plain,
spl0_1879,
inference(contradiction_clause,[status(thm)],[f14162]) ).
fof(f15810,plain,
( spl0_2079
<=> app(sk0_47,sk0_47) = app(sk0_47,sk0_47) ),
introduced(split_symbol_definition) ).
fof(f15812,plain,
( app(sk0_47,sk0_47) != app(sk0_47,sk0_47)
| spl0_2079 ),
inference(component_clause,[status(thm)],[f15810]) ).
fof(f15816,plain,
( $false
| spl0_2079 ),
inference(trivial_equality_resolution,[status(esa)],[f15812]) ).
fof(f15817,plain,
spl0_2079,
inference(contradiction_clause,[status(thm)],[f15816]) ).
fof(f16221,plain,
( spl0_2119
<=> cons(sk0_24(sk0_47),sk0_47) = cons(sk0_24(sk0_47),sk0_47) ),
introduced(split_symbol_definition) ).
fof(f16223,plain,
( cons(sk0_24(sk0_47),sk0_47) != cons(sk0_24(sk0_47),sk0_47)
| spl0_2119 ),
inference(component_clause,[status(thm)],[f16221]) ).
fof(f16248,plain,
( $false
| spl0_2119 ),
inference(trivial_equality_resolution,[status(esa)],[f16223]) ).
fof(f16249,plain,
spl0_2119,
inference(contradiction_clause,[status(thm)],[f16248]) ).
fof(f16394,plain,
( $false
| ~ spl0_1869 ),
inference(forward_subsumption_resolution,[status(thm)],[f13997,f105]) ).
fof(f16395,plain,
~ spl0_1869,
inference(contradiction_clause,[status(thm)],[f16394]) ).
fof(f16971,plain,
( $false
| spl0_1431 ),
inference(forward_subsumption_resolution,[status(thm)],[f11186,f465]) ).
fof(f16972,plain,
spl0_1431,
inference(contradiction_clause,[status(thm)],[f16971]) ).
fof(f20623,plain,
( spl0_2473
<=> cons(sk0_25(sk0_47),sk0_47) = cons(sk0_25(sk0_47),sk0_47) ),
introduced(split_symbol_definition) ).
fof(f20625,plain,
( cons(sk0_25(sk0_47),sk0_47) != cons(sk0_25(sk0_47),sk0_47)
| spl0_2473 ),
inference(component_clause,[status(thm)],[f20623]) ).
fof(f20640,plain,
( $false
| spl0_2473 ),
inference(trivial_equality_resolution,[status(esa)],[f20625]) ).
fof(f20641,plain,
spl0_2473,
inference(contradiction_clause,[status(thm)],[f20640]) ).
fof(f21321,plain,
( spl0_2535
<=> cons(sk0_44(sk0_47),sk0_47) = cons(sk0_44(sk0_47),sk0_47) ),
introduced(split_symbol_definition) ).
fof(f21323,plain,
( cons(sk0_44(sk0_47),sk0_47) != cons(sk0_44(sk0_47),sk0_47)
| spl0_2535 ),
inference(component_clause,[status(thm)],[f21321]) ).
fof(f21342,plain,
( $false
| spl0_2535 ),
inference(trivial_equality_resolution,[status(esa)],[f21323]) ).
fof(f21343,plain,
spl0_2535,
inference(contradiction_clause,[status(thm)],[f21342]) ).
fof(f22128,plain,
( spl0_2622
<=> app(sk0_47,sk0_43(sk0_47)) = app(sk0_47,sk0_43(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f22130,plain,
( app(sk0_47,sk0_43(sk0_47)) != app(sk0_47,sk0_43(sk0_47))
| spl0_2622 ),
inference(component_clause,[status(thm)],[f22128]) ).
fof(f22162,plain,
( $false
| spl0_2622 ),
inference(trivial_equality_resolution,[status(esa)],[f22130]) ).
fof(f22163,plain,
spl0_2622,
inference(contradiction_clause,[status(thm)],[f22162]) ).
fof(f22793,plain,
( spl0_2631
<=> app(sk0_47,sk0_28(sk0_47)) = app(sk0_47,sk0_28(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f22795,plain,
( app(sk0_47,sk0_28(sk0_47)) != app(sk0_47,sk0_28(sk0_47))
| spl0_2631 ),
inference(component_clause,[status(thm)],[f22793]) ).
fof(f22816,plain,
( $false
| spl0_2631 ),
inference(trivial_equality_resolution,[status(esa)],[f22795]) ).
fof(f22817,plain,
spl0_2631,
inference(contradiction_clause,[status(thm)],[f22816]) ).
fof(f22825,plain,
( spl0_2636
<=> app(sk0_47,sk0_27(sk0_47)) = app(sk0_47,sk0_27(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f22827,plain,
( app(sk0_47,sk0_27(sk0_47)) != app(sk0_47,sk0_27(sk0_47))
| spl0_2636 ),
inference(component_clause,[status(thm)],[f22825]) ).
fof(f22850,plain,
( $false
| spl0_2636 ),
inference(trivial_equality_resolution,[status(esa)],[f22827]) ).
fof(f22851,plain,
spl0_2636,
inference(contradiction_clause,[status(thm)],[f22850]) ).
fof(f22887,plain,
( spl0_2647
<=> app(sk0_43(sk0_47),sk0_47) = app(sk0_43(sk0_47),sk0_47) ),
introduced(split_symbol_definition) ).
fof(f22889,plain,
( app(sk0_43(sk0_47),sk0_47) != app(sk0_43(sk0_47),sk0_47)
| spl0_2647 ),
inference(component_clause,[status(thm)],[f22887]) ).
fof(f22892,plain,
( $false
| spl0_2647 ),
inference(trivial_equality_resolution,[status(esa)],[f22889]) ).
fof(f22893,plain,
spl0_2647,
inference(contradiction_clause,[status(thm)],[f22892]) ).
fof(f23072,plain,
( spl0_2669
<=> app(sk0_28(sk0_47),sk0_47) = app(sk0_28(sk0_47),sk0_47) ),
introduced(split_symbol_definition) ).
fof(f23074,plain,
( app(sk0_28(sk0_47),sk0_47) != app(sk0_28(sk0_47),sk0_47)
| spl0_2669 ),
inference(component_clause,[status(thm)],[f23072]) ).
fof(f23077,plain,
( $false
| spl0_2669 ),
inference(trivial_equality_resolution,[status(esa)],[f23074]) ).
fof(f23078,plain,
spl0_2669,
inference(contradiction_clause,[status(thm)],[f23077]) ).
fof(f23114,plain,
( spl0_2677
<=> app(sk0_27(sk0_47),sk0_47) = app(sk0_27(sk0_47),sk0_47) ),
introduced(split_symbol_definition) ).
fof(f23116,plain,
( app(sk0_27(sk0_47),sk0_47) != app(sk0_27(sk0_47),sk0_47)
| spl0_2677 ),
inference(component_clause,[status(thm)],[f23114]) ).
fof(f23120,plain,
( $false
| spl0_2677 ),
inference(trivial_equality_resolution,[status(esa)],[f23116]) ).
fof(f23121,plain,
spl0_2677,
inference(contradiction_clause,[status(thm)],[f23120]) ).
fof(f23269,plain,
( spl0_2685
<=> app(sk0_46(sk0_47),sk0_47) = app(sk0_46(sk0_47),sk0_47) ),
introduced(split_symbol_definition) ).
fof(f23271,plain,
( app(sk0_46(sk0_47),sk0_47) != app(sk0_46(sk0_47),sk0_47)
| spl0_2685 ),
inference(component_clause,[status(thm)],[f23269]) ).
fof(f23274,plain,
( $false
| spl0_2685 ),
inference(trivial_equality_resolution,[status(esa)],[f23271]) ).
fof(f23275,plain,
spl0_2685,
inference(contradiction_clause,[status(thm)],[f23274]) ).
fof(f23278,plain,
( spl0_2686
<=> app(sk0_47,sk0_46(sk0_47)) = app(sk0_47,sk0_46(sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f23280,plain,
( app(sk0_47,sk0_46(sk0_47)) != app(sk0_47,sk0_46(sk0_47))
| spl0_2686 ),
inference(component_clause,[status(thm)],[f23278]) ).
fof(f23311,plain,
( $false
| spl0_2686 ),
inference(trivial_equality_resolution,[status(esa)],[f23280]) ).
fof(f23312,plain,
spl0_2686,
inference(contradiction_clause,[status(thm)],[f23311]) ).
fof(f25178,plain,
( spl0_2821
<=> nil = app(nil,nil) ),
introduced(split_symbol_definition) ).
fof(f25180,plain,
( nil != app(nil,nil)
| spl0_2821 ),
inference(component_clause,[status(thm)],[f25178]) ).
fof(f25189,plain,
( nil != nil
| spl0_2821 ),
inference(forward_demodulation,[status(thm)],[f2635,f25180]) ).
fof(f25190,plain,
( $false
| spl0_2821 ),
inference(trivial_equality_resolution,[status(esa)],[f25189]) ).
fof(f25191,plain,
spl0_2821,
inference(contradiction_clause,[status(thm)],[f25190]) ).
fof(f29550,plain,
( ~ ssItem(sk0_24(sk0_47))
| ~ ssItem(sk0_25(sk0_47))
| leq(sk0_24(sk0_47),sk0_25(sk0_47))
| ~ spl0_806 ),
inference(resolution,[status(thm)],[f6940,f409]) ).
fof(f29551,plain,
( ~ spl0_705
| ~ spl0_775
| spl0_809
| ~ spl0_806 ),
inference(split_clause,[status(thm)],[f29550,f6228,f6734,f6950,f6939]) ).
fof(f33225,plain,
( spl0_3789
<=> ssList(app(nil,sk0_47)) ),
introduced(split_symbol_definition) ).
fof(f33227,plain,
( ~ ssList(app(nil,sk0_47))
| spl0_3789 ),
inference(component_clause,[status(thm)],[f33225]) ).
fof(f33279,plain,
( ~ ssList(sk0_47)
| spl0_3789 ),
inference(forward_demodulation,[status(thm)],[f2636,f33227]) ).
fof(f33280,plain,
( $false
| spl0_3789 ),
inference(forward_subsumption_resolution,[status(thm)],[f33279,f417]) ).
fof(f33281,plain,
spl0_3789,
inference(contradiction_clause,[status(thm)],[f33280]) ).
fof(f33341,plain,
( spl0_3807
<=> ssList(app(sk0_47,nil)) ),
introduced(split_symbol_definition) ).
fof(f33343,plain,
( ~ ssList(app(sk0_47,nil))
| spl0_3807 ),
inference(component_clause,[status(thm)],[f33341]) ).
fof(f33402,plain,
( ~ ssList(sk0_47)
| spl0_3807 ),
inference(forward_demodulation,[status(thm)],[f2696,f33343]) ).
fof(f33403,plain,
( $false
| spl0_3807 ),
inference(forward_subsumption_resolution,[status(thm)],[f33402,f417]) ).
fof(f33404,plain,
spl0_3807,
inference(contradiction_clause,[status(thm)],[f33403]) ).
fof(f34748,plain,
( ~ ssList(sk0_47)
| totalorderedP(sk0_47)
| ~ spl0_809 ),
inference(resolution,[status(thm)],[f6951,f184]) ).
fof(f34749,plain,
( ~ spl0_8
| spl0_1
| ~ spl0_809 ),
inference(split_clause,[status(thm)],[f34748,f492,f429,f6950]) ).
fof(f34761,plain,
$false,
inference(sat_refutation,[status(thm)],[f432,f469,f498,f539,f687,f692,f697,f733,f735,f796,f4110,f4122,f4134,f4146,f4158,f4170,f4488,f4500,f6232,f6738,f6873,f6967,f7046,f7327,f7517,f8135,f10464,f10589,f12713,f12845,f14002,f14163,f15817,f16249,f16395,f16972,f20641,f21343,f22163,f22817,f22851,f22893,f23078,f23121,f23275,f23312,f25191,f29551,f33281,f33404,f34749]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SWC340+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:51:44 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 202.73/25.96 % Refutation found
% 202.73/25.96 % SZS status Theorem for theBenchmark: Theorem is valid
% 202.73/25.96 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 203.48/26.04 % Elapsed time: 25.732022 seconds
% 203.48/26.04 % CPU time: 203.495975 seconds
% 203.48/26.04 % Memory used: 358.950 MB
%------------------------------------------------------------------------------