%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC109+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:07:56 PM UTC 2026
% Result : Theorem 10.34s 2.30s
% Output : CNFRefutation 10.34s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f268ERROR: Could not build tree for root c_8848ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax2) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X1 = X0
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax29) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax30) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax31) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax33) ).
fof(f34,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& lt(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax34) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax90) ).
fof(f91,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& leq(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax91) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( lt(X0,X1)
| X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax92) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax93) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( ( segmentP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ? [X8] :
( lt(X8,X4)
& memberP(X6,X8)
& ssItem(X8) )
| ? [X7] :
( lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7) )
| app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2
| ~ ssList(X6) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( ( segmentP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ? [X8] :
( lt(X8,X4)
& memberP(X6,X8)
& ssItem(X8) )
| ? [X7] :
( lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7) )
| app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2
| ~ ssList(X6) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ( ( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ! [X8] :
( ~ lt(X8,X4)
| ~ memberP(X6,X8)
| ~ ssItem(X8) )
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X5,X7)
| ~ ssItem(X7) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) ) ) ) )
& X0 = X2
& X1 = X3
& ssList(X3) ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f100,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f101,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| nil != cons(X1,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f102,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ),
inference(ennf_transformation,[],[f20]) ).
fof(f103,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| ( X1 = X0
& X2 = X3 ) ) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f105,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| ( X1 = X0
& X2 = X3 ) ) ) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) != X0 ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f107,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f108,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f109,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f110,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f111,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f112,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X2 = X0 ) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f114,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X2 = X0 ) ) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f116,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f117,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f120,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f121,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f122,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f123,plain,
! [X0] :
( ~ ssList(X0)
| ( segmentP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f124,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(ennf_transformation,[],[f57]) ).
fof(f125,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ) ) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f126,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ) ) ) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f128,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f129,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f131,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f133,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f134,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ leq(X0,X1)
| lt(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f135,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ leq(X0,X1)
| lt(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f137,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f139,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f140,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f142,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f144,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f145,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f147,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f146]) ).
fof(f153,plain,
( ssList(sK4)
& ssList(sK5)
& ssList(sK6)
& ( ( ( ~ segmentP(sK5,sK4)
| ~ neq(sK4,nil) )
& neq(sK5,nil) )
| ( nil != sK4
& nil = sK5 ) )
& ( ( nil = sK6
& nil = sK7 )
| sP0(sK6,sK7) )
& sK4 = sK6
& sK5 = sK7
& ssList(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7)],[f149]) ).
fof(f154,plain,
( sK8 != sK9
& ssItem(sK9)
& ssItem(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f2]) ).
fof(f155,plain,
! [X0] :
( ~ ssList(X0)
| ( cons(sK11(X0),sK10(X0)) = X0
& ssItem(sK11(X0))
& ssList(sK10(X0)) )
| nil = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0))],[f103]) ).
fof(f156,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil != app(X0,X1)
| ( nil = X0
& nil = X1 ) )
& ( nil != X0
| nil != X1
| nil = app(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f157,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil != app(X0,X1)
| ( nil = X0
& nil = X1 ) )
& ( nil != X0
| nil != X1
| nil = app(X0,X1) ) ) ) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ neq(X0,X1)
| X0 != X1 )
& ( X0 = X1
| neq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f160,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 )
& ( ( ~ memberP(X2,X0)
& X0 != X1 )
| memberP(cons(X1,X2),X0) ) ) ) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f161,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 )
& ( ( ~ memberP(X2,X0)
& X0 != X1 )
| memberP(cons(X1,X2),X0) ) ) ) ) ),
inference(flattening,[],[f160]) ).
fof(f162,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) )
& ( ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) )
| memberP(app(X1,X2),X0) ) ) ) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f163,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) )
& ( ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) )
| memberP(app(X1,X2),X0) ) ) ) ) ),
inference(flattening,[],[f162]) ).
fof(f164,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f165,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(rectify,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ( app(sK12(X0,X1),cons(X1,sK13(X0,X1))) = X0
& ssList(sK13(X0,X1))
& ssList(sK12(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X4,sK12(X0,X1)),skolemize(X5,sK13(X0,X1))],[f165]) ).
fof(f167,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ segmentP(nil,X0)
| nil = X0 )
& ( nil != X0
| segmentP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f123]) ).
fof(f168,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f169,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(rectify,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ( app(app(sK14(X0,X1),X1),sK15(X0,X1)) = X0
& ssList(sK15(X0,X1))
& ssList(sK14(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X4,sK14(X0,X1)),skolemize(X5,sK15(X0,X1))],[f169]) ).
fof(f171,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ lt(X0,X1)
| ( leq(X0,X1)
& X0 != X1 ) )
& ( ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f172,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ lt(X0,X1)
| ( leq(X0,X1)
& X0 != X1 ) )
& ( ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ) ) ),
inference(flattening,[],[f171]) ).
fof(f180,plain,
ssList(sK4),
inference(cnf_transformation,[],[f153]) ).
fof(f181,plain,
ssList(sK5),
inference(cnf_transformation,[],[f153]) ).
fof(f183,plain,
( ~ segmentP(sK5,sK4)
| ~ neq(sK4,nil)
| nil != sK4 ),
inference(cnf_transformation,[],[f153]) ).
fof(f184,plain,
( neq(sK5,nil)
| nil != sK4 ),
inference(cnf_transformation,[],[f153]) ).
fof(f185,plain,
( ~ segmentP(sK5,sK4)
| ~ neq(sK4,nil)
| nil = sK5 ),
inference(cnf_transformation,[],[f153]) ).
fof(f186,plain,
( neq(sK5,nil)
| nil = sK5 ),
inference(cnf_transformation,[],[f153]) ).
fof(f187,plain,
( nil = sK6
| sP0(sK6,sK7) ),
inference(cnf_transformation,[],[f153]) ).
fof(f188,plain,
( nil = sK7
| sP0(sK6,sK7) ),
inference(cnf_transformation,[],[f153]) ).
fof(f189,plain,
sK4 = sK6,
inference(cnf_transformation,[],[f153]) ).
fof(f190,plain,
sK5 = sK7,
inference(cnf_transformation,[],[f153]) ).
fof(f192,plain,
sK8 != sK9,
inference(cnf_transformation,[],[f154]) ).
fof(f193,plain,
ssItem(sK9),
inference(cnf_transformation,[],[f154]) ).
fof(f194,plain,
ssItem(sK8),
inference(cnf_transformation,[],[f154]) ).
fof(f195,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f197,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil != cons(X1,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f198,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK11(X0),sK10(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f199,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK11(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f200,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK10(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| cons(X2,X0) != cons(X3,X1)
| X2 = X3 ),
inference(cnf_transformation,[],[f105]) ).
fof(f203,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f106]) ).
fof(f204,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f205,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f108]) ).
fof(f206,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X0 ),
inference(cnf_transformation,[],[f157]) ).
fof(f207,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f112]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f114]) ).
fof(f212,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f115]) ).
fof(f213,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f215,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f218,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f219,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f161]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(cons(X1,X2),X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f226,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| app(sK12(X0,X1),cons(X1,sK13(X0,X1))) = X0 ),
inference(cnf_transformation,[],[f166]) ).
fof(f227,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ssList(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f228,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ssList(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f230,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f167]) ).
fof(f231,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f232,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[],[f124]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f234,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f129]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f237,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| app(app(sK14(X0,X1),X1),sK15(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f170]) ).
fof(f238,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ssList(sK15(X0,X1)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f239,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ssList(sK14(X0,X1)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f241,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f244,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| lt(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f135]) ).
fof(f245,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f246,plain,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f248,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ lt(X1,X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f249,plain,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f251,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f252,plain,
( neq(sK7,nil)
| nil = sK7 ),
inference(definition_unfolding,[],[f186,f190,f190]) ).
fof(f253,plain,
( ~ segmentP(sK7,sK6)
| ~ neq(sK6,nil)
| nil = sK7 ),
inference(definition_unfolding,[],[f185,f190,f189,f190,f189]) ).
fof(f254,plain,
( neq(sK7,nil)
| nil != sK6 ),
inference(definition_unfolding,[],[f184,f189,f190]) ).
fof(f255,plain,
( ~ segmentP(sK7,sK6)
| ~ neq(sK6,nil)
| nil != sK6 ),
inference(definition_unfolding,[],[f183,f189,f189,f190,f189]) ).
fof(f256,plain,
ssList(sK7),
inference(definition_unfolding,[],[f181,f190]) ).
fof(f257,plain,
ssList(sK6),
inference(definition_unfolding,[],[f180,f189]) ).
fof(f263,plain,
! [X2,X3,X1] :
( ~ ssList(app(X2,cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(app(X2,cons(X1,X3)),X1) ),
inference(equality_resolution,[],[f229]) ).
fof(f264,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f231]) ).
fof(f265,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f240]) ).
tcf(c_57,negated_conjecture,
( sP0(sK6,sK7)
| ( nil = sK7 ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_58,negated_conjecture,
( sP0(sK6,sK7)
| ( nil = sK6 ) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_59,negated_conjecture,
( neq(sK7,nil)
| ( nil = sK7 ) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_60,negated_conjecture,
( ( nil = sK7 )
| ~ segmentP(sK7,sK6)
| ~ neq(sK6,nil) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_61,negated_conjecture,
( neq(sK7,nil)
| ( nil != sK6 ) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_62,negated_conjecture,
( ~ segmentP(sK7,sK6)
| ~ neq(sK6,nil)
| ( nil != sK6 ) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_64,negated_conjecture,
ssList(sK7),
inference(cnf_transformation,[],[f256]) ).
tcf(c_65,negated_conjecture,
ssList(sK6),
inference(cnf_transformation,[],[f257]) ).
tcf(c_66,plain,
ssItem(sK8),
inference(cnf_transformation,[],[f194]) ).
tcf(c_67,plain,
ssItem(sK9),
inference(cnf_transformation,[],[f193]) ).
tcf(c_68,plain,
sK8 != sK9,
inference(cnf_transformation,[],[f192]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_72,plain,
! [X0: $i] :
( ssList(sK10(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_73,plain,
! [X0: $i] :
( ssItem(sK11(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_74,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK11(X0),sK10(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ( cons(X0,X1) != cons(X2,X3) ) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ( cons(X0,X1) != cons(X2,X3) ) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_79,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_80,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X0,X1),X2) = app(X0,app(X1,X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X0,X2) ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X2,X1) ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_86,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( neq(X0,X1)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_89,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_92,plain,
ssList(nil),
inference(cnf_transformation,[],[f218]) ).
tcf(c_93,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| memberP(X0,X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(app(X0,X1),X2) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( ssList(sK12(X0,X1))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( ssList(sK13(X0,X1))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(X0,X1),cons(X1,sK13(X0,X1))) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_104,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_105,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_106,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_108,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( ssList(sK14(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( ssList(sK15(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK14(X0,X1),X1),sK15(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( lt(X0,X1)
| ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X2,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X2,X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_120,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i] :
( lt(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X2)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_123,plain,
! [X0: $i] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_127,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_135,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_140,plain,
( ( nil = nil )
| ~ ssList(nil)
| ~ segmentP(nil,nil) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_166,plain,
segmentP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_104,c_92,c_127]) ).
tcf(c_168,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_80,c_92,c_135]) ).
tcf(c_1332,plain,
( ~ segmentP(sK7,sK6)
| ( sK7 != sK6 )
| ( nil != sK6 )
| ( nil != nil ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_62]) ).
tcf(c_1333,plain,
( ~ segmentP(sK7,sK6)
| ( sK7 != sK6 )
| ( nil != sK6 ) ),
inference(global_subsumption_just,[status(thm)],[c_1332,c_92,c_127,c_140,c_1332]) ).
tcf(c_1346,plain,
( ( nil = sK7 )
| ~ segmentP(sK7,sK6)
| ( sK7 != sK6 )
| ( nil != nil ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_60]) ).
tcf(c_1347,plain,
( ( nil = sK7 )
| ~ segmentP(sK7,sK6)
| ( sK7 != sK6 ) ),
inference(global_subsumption_just,[status(thm)],[c_1346,c_92,c_127,c_140,c_1346]) ).
tcf(c_1369,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( nil != sK6 )
| ( X0 != sK7 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_89]) ).
tcf(c_1370,plain,
( ~ ssList(nil)
| ( nil != sK6 )
| ( nil != sK7 ) ),
inference(unflattening,[status(thm)],[c_1369]) ).
tcf(c_1371,plain,
( ( nil != sK7 )
| ( nil != sK6 ) ),
inference(global_subsumption_just,[status(thm)],[c_1370,c_92,c_1370]) ).
tcf(c_1372,plain,
( ( nil != sK6 )
| ( nil != sK7 ) ),
inference(renaming,[status(thm)],[c_1371]) ).
tcf(c_1404,plain,
! [X0: $i,X1: $i] :
( ( nil = sK7 )
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK7,sK6)
| ( X1 != sK6 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_88]) ).
tcf(c_1405,plain,
( ( nil = sK6 )
| ( nil = sK7 )
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ segmentP(sK7,sK6) ),
inference(unflattening,[status(thm)],[c_1404]) ).
tcf(c_1406,plain,
( ( nil = sK6 )
| ( nil = sK7 )
| ~ segmentP(sK7,sK6) ),
inference(global_subsumption_just,[status(thm)],[c_1405,c_65,c_92,c_1405]) ).
tcf(c_4370,plain,
app(sK7,nil) = sK7,
inference(superposition,[status(thm)],[c_64,c_79]) ).
tcf(c_4371,plain,
app(sK6,nil) = sK6,
inference(superposition,[status(thm)],[c_65,c_79]) ).
tcf(c_4379,plain,
app(nil,sK7) = sK7,
inference(superposition,[status(thm)],[c_64,c_86]) ).
tcf(c_4380,plain,
app(nil,sK6) = sK6,
inference(superposition,[status(thm)],[c_65,c_86]) ).
tcf(c_4390,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,sK10(X0)) = sK10(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72,c_86]) ).
tcf(c_4391,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(sK10(X0),nil) = sK10(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72,c_79]) ).
tcf(c_4411,plain,
! [X0: $i,X1: $i] :
( ( app(nil,cons(X1,X0)) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_86]) ).
tcf(c_4412,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,X0),nil) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_79]) ).
tcf(c_4432,plain,
! [X0: $i,X1: $i] :
( ( app(nil,app(X0,X1)) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87,c_86]) ).
tcf(c_4433,plain,
! [X0: $i,X1: $i] :
( ( app(app(X0,X1),nil) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87,c_79]) ).
tcf(c_4497,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK12(X0,X1)) = sK12(X0,X1) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_86]) ).
tcf(c_4498,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(X0,X1),nil) = sK12(X0,X1) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_79]) ).
tcf(c_4515,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK13(X0,X1)) = sK13(X0,X1) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_86]) ).
tcf(c_4516,plain,
! [X0: $i,X1: $i] :
( ( app(sK13(X0,X1),nil) = sK13(X0,X1) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_79]) ).
tcf(c_4537,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK14(X0,X1)) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_86]) ).
tcf(c_4538,plain,
! [X0: $i,X1: $i] :
( ( app(sK14(X0,X1),nil) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_79]) ).
tcf(c_4557,plain,
! [X0: $i,X1: $i] :
( ( app(nil,sK15(X0,X1)) = sK15(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_86]) ).
tcf(c_4558,plain,
! [X0: $i,X1: $i] :
( ( app(sK15(X0,X1),nil) = sK15(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_79]) ).
tcf(c_4583,plain,
( ( nil = sK7 )
| ( cons(sK11(sK7),sK10(sK7)) = sK7 ) ),
inference(superposition,[status(thm)],[c_64,c_74]) ).
tcf(c_4584,plain,
( ( nil = sK6 )
| ( cons(sK11(sK6),sK10(sK6)) = sK6 ) ),
inference(superposition,[status(thm)],[c_65,c_74]) ).
tcf(c_4585,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK10(X0) = nil )
| ( cons(sK11(sK10(X0)),sK10(sK10(X0))) = sK10(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72,c_74]) ).
tcf(c_4586,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,X0) = nil )
| ( cons(sK11(cons(X1,X0)),sK10(cons(X1,X0))) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_74]) ).
tcf(c_4588,plain,
! [X0: $i,X1: $i] :
( ( app(X0,X1) = nil )
| ( cons(sK11(app(X0,X1)),sK10(app(X0,X1))) = app(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87,c_74]) ).
tcf(c_4589,plain,
! [X0: $i,X1: $i] :
( ( sK12(X0,X1) = nil )
| ( cons(sK11(sK12(X0,X1)),sK10(sK12(X0,X1))) = sK12(X0,X1) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_74]) ).
tcf(c_4590,plain,
! [X0: $i,X1: $i] :
( ( sK13(X0,X1) = nil )
| ( cons(sK11(sK13(X0,X1)),sK10(sK13(X0,X1))) = sK13(X0,X1) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_74]) ).
tcf(c_4591,plain,
! [X0: $i,X1: $i] :
( ( sK14(X0,X1) = nil )
| ( cons(sK11(sK14(X0,X1)),sK10(sK14(X0,X1))) = sK14(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_74]) ).
tcf(c_4592,plain,
! [X0: $i,X1: $i] :
( ( sK15(X0,X1) = nil )
| ( cons(sK11(sK15(X0,X1)),sK10(sK15(X0,X1))) = sK15(X0,X1) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_74]) ).
tcf(c_4641,plain,
( memberP(sK7,sK11(sK7))
| ( nil = sK7 )
| ~ ssItem(sK11(sK7))
| ~ ssList(sK10(sK7)) ),
inference(superposition,[status(thm)],[c_4583,c_94]) ).
tcf(c_4643,plain,
( ( nil = sK7 )
| ~ ssItem(sK11(sK7))
| ~ ssList(sK10(sK7))
| ( sK10(sK7) != sK7 ) ),
inference(superposition,[status(thm)],[c_4583,c_77]) ).
tcf(c_4723,plain,
( ( nil = sK7 )
| ( app(nil,sK10(sK7)) = sK10(sK7) ) ),
inference(superposition,[status(thm)],[c_64,c_4390]) ).
tcf(c_4724,plain,
( ( nil = sK6 )
| ( app(nil,sK10(sK6)) = sK10(sK6) ) ),
inference(superposition,[status(thm)],[c_65,c_4390]) ).
tcf(c_4725,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK10(X0) = nil )
| ( app(nil,sK10(sK10(X0))) = sK10(sK10(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72,c_4390]) ).
tcf(c_4726,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,X0) = nil )
| ( app(nil,sK10(cons(X1,X0))) = sK10(cons(X1,X0)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_4390]) ).
tcf(c_4728,plain,
! [X0: $i,X1: $i] :
( ( app(X0,X1) = nil )
| ( app(nil,sK10(app(X0,X1))) = sK10(app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87,c_4390]) ).
tcf(c_4729,plain,
! [X0: $i,X1: $i] :
( ( sK12(X0,X1) = nil )
| ( app(nil,sK10(sK12(X0,X1))) = sK10(sK12(X0,X1)) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_4390]) ).
tcf(c_4730,plain,
! [X0: $i,X1: $i] :
( ( sK13(X0,X1) = nil )
| ( app(nil,sK10(sK13(X0,X1))) = sK10(sK13(X0,X1)) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_4390]) ).
tcf(c_4731,plain,
! [X0: $i,X1: $i] :
( ( sK14(X0,X1) = nil )
| ( app(nil,sK10(sK14(X0,X1))) = sK10(sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_4390]) ).
tcf(c_4732,plain,
! [X0: $i,X1: $i] :
( ( sK15(X0,X1) = nil )
| ( app(nil,sK10(sK15(X0,X1))) = sK10(sK15(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_4390]) ).
tcf(c_4783,plain,
! [X0: $i] :
( ( app(cons(sK8,nil),X0) = cons(sK8,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66,c_69]) ).
tcf(c_4784,plain,
! [X0: $i] :
( ( app(cons(sK9,nil),X0) = cons(sK9,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_67,c_69]) ).
tcf(c_4785,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(cons(sK11(X0),nil),X1) = cons(sK11(X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_73,c_69]) ).
tcf(c_4870,plain,
app(cons(sK8,nil),sK7) = cons(sK8,sK7),
inference(superposition,[status(thm)],[c_64,c_4783]) ).
tcf(c_4871,plain,
app(cons(sK8,nil),sK6) = cons(sK8,sK6),
inference(superposition,[status(thm)],[c_65,c_4783]) ).
tcf(c_4872,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(cons(sK8,nil),sK10(X0)) = cons(sK8,sK10(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72,c_4783]) ).
tcf(c_4873,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK8,nil),cons(X1,X0)) = cons(sK8,cons(X1,X0)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_4783]) ).
tcf(c_4874,plain,
app(cons(sK8,nil),nil) = cons(sK8,nil),
inference(superposition,[status(thm)],[c_92,c_4783]) ).
tcf(c_4875,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK8,nil),app(X0,X1)) = cons(sK8,app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87,c_4783]) ).
tcf(c_4876,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK8,nil),sK12(X0,X1)) = cons(sK8,sK12(X0,X1)) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_4783]) ).
tcf(c_4877,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK8,nil),sK13(X0,X1)) = cons(sK8,sK13(X0,X1)) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_4783]) ).
tcf(c_4878,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK8,nil),sK14(X0,X1)) = cons(sK8,sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_4783]) ).
tcf(c_4879,plain,
! [X0: $i,X1: $i] :
( ( app(cons(sK8,nil),sK15(X0,X1)) = cons(sK8,sK15(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_4783]) ).
tcf(c_4912,plain,
( ( cons(sK8,nil) = nil )
| ~ ssList(sK7)
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK7) != nil ) ),
inference(superposition,[status(thm)],[c_4870,c_82]) ).
tcf(c_4913,plain,
( ( nil = sK7 )
| ~ ssList(sK7)
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK7) != nil ) ),
inference(superposition,[status(thm)],[c_4870,c_81]) ).
tcf(c_4914,plain,
( ssList(cons(sK8,sK7))
| ~ ssList(sK7)
| ~ ssList(cons(sK8,nil)) ),
inference(superposition,[status(thm)],[c_4870,c_87]) ).
tcf(c_4915,plain,
( ssList(cons(sK8,sK7))
| ~ ssList(cons(sK8,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4914,c_64]) ).
tcf(c_4918,plain,
( ( nil = sK7 )
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK7) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4913,c_64]) ).
tcf(c_4922,plain,
( ( cons(sK8,nil) = nil )
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK7) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4912,c_64]) ).
tcf(c_4931,plain,
( ssList(cons(sK8,sK7))
| ~ ssItem(sK8)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_78,c_4915]) ).
tcf(c_4932,plain,
ssList(cons(sK8,sK7)),
inference(forward_subsumption_resolution,[status(thm)],[c_4931,c_66,c_92]) ).
tcf(c_4934,plain,
( ( nil = sK6 )
| ~ ssList(sK6)
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK6) != nil ) ),
inference(superposition,[status(thm)],[c_4871,c_81]) ).
tcf(c_4935,plain,
( ssList(cons(sK8,sK6))
| ~ ssList(sK6)
| ~ ssList(cons(sK8,nil)) ),
inference(superposition,[status(thm)],[c_4871,c_87]) ).
tcf(c_4936,plain,
( ssList(cons(sK8,sK6))
| ~ ssList(cons(sK8,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4935,c_65]) ).
tcf(c_4950,plain,
( ssList(cons(sK8,sK6))
| ~ ssItem(sK8)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_78,c_4936]) ).
tcf(c_4951,plain,
ssList(cons(sK8,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_4950,c_66,c_92]) ).
tcf(c_5031,plain,
! [X0: $i] :
( ssList(cons(sK8,X0))
| ~ ssItem(sK8)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_5032,plain,
( ssList(cons(sK8,nil))
| ~ ssItem(sK8)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_5031]) ).
tcf(c_5055,plain,
! [X0: $i] :
( memberP(sK7,X0)
| ( nil = sK7 )
| ~ ssItem(X0)
| ~ ssItem(sK11(sK7))
| ~ ssList(sK10(sK7))
| ~ memberP(sK10(sK7),X0) ),
inference(superposition,[status(thm)],[c_4583,c_95]) ).
tcf(c_5118,plain,
! [X0: $i] :
( memberP(sK10(sK7),X0)
| ( nil = sK7 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK10(sK7))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_4723,c_97]) ).
tcf(c_5121,plain,
! [X0: $i] :
( memberP(cons(sK8,sK7),X0)
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,nil),X0) ),
inference(superposition,[status(thm)],[c_4870,c_97]) ).
tcf(c_5122,plain,
! [X0: $i] :
( memberP(cons(sK8,sK6),X0)
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,nil),X0) ),
inference(superposition,[status(thm)],[c_4871,c_97]) ).
tcf(c_5128,plain,
! [X0: $i] :
( memberP(cons(sK8,sK6),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5122,c_65]) ).
tcf(c_5133,plain,
! [X0: $i] :
( memberP(cons(sK8,sK7),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5121,c_64]) ).
tcf(c_5138,plain,
! [X0: $i] :
( memberP(sK10(sK7),X0)
| ( nil = sK7 )
| ~ ssItem(X0)
| ~ ssList(sK10(sK7))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5118,c_92]) ).
tcf(c_5178,plain,
! [X0: $i] :
( memberP(cons(sK8,sK7),X0)
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssList(cons(sK8,nil)) ),
inference(superposition,[status(thm)],[c_4870,c_98]) ).
tcf(c_5179,plain,
! [X0: $i] :
( memberP(cons(sK8,sK6),X0)
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ memberP(sK6,X0)
| ~ ssList(cons(sK8,nil)) ),
inference(superposition,[status(thm)],[c_4871,c_98]) ).
tcf(c_5180,plain,
! [X0: $i] :
( memberP(cons(sK8,sK6),X0)
| ~ ssItem(X0)
| ~ memberP(sK6,X0)
| ~ ssList(cons(sK8,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5179,c_65]) ).
tcf(c_5185,plain,
! [X0: $i] :
( memberP(cons(sK8,sK7),X0)
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssList(cons(sK8,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5178,c_64]) ).
tcf(c_5215,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_106,c_109]) ).
tcf(c_5219,plain,
app(cons(sK8,nil),cons(sK8,sK7)) = cons(sK8,cons(sK8,sK7)),
inference(superposition,[status(thm)],[c_4932,c_4783]) ).
tcf(c_5220,plain,
( ( cons(sK8,sK7) = nil )
| ( app(nil,sK10(cons(sK8,sK7))) = sK10(cons(sK8,sK7)) ) ),
inference(superposition,[status(thm)],[c_4932,c_4390]) ).
tcf(c_5221,plain,
( ( cons(sK8,sK7) = nil )
| ( cons(sK11(cons(sK8,sK7)),sK10(cons(sK8,sK7))) = cons(sK8,sK7) ) ),
inference(superposition,[status(thm)],[c_4932,c_74]) ).
tcf(c_5222,plain,
app(nil,cons(sK8,sK7)) = cons(sK8,sK7),
inference(superposition,[status(thm)],[c_4932,c_86]) ).
tcf(c_5223,plain,
app(cons(sK8,sK7),nil) = cons(sK8,sK7),
inference(superposition,[status(thm)],[c_4932,c_79]) ).
tcf(c_5233,plain,
app(cons(sK8,nil),cons(sK8,sK6)) = cons(sK8,cons(sK8,sK6)),
inference(superposition,[status(thm)],[c_4951,c_4783]) ).
tcf(c_5234,plain,
( ( cons(sK8,sK6) = nil )
| ( app(nil,sK10(cons(sK8,sK6))) = sK10(cons(sK8,sK6)) ) ),
inference(superposition,[status(thm)],[c_4951,c_4390]) ).
tcf(c_5235,plain,
( ( cons(sK8,sK6) = nil )
| ( cons(sK11(cons(sK8,sK6)),sK10(cons(sK8,sK6))) = cons(sK8,sK6) ) ),
inference(superposition,[status(thm)],[c_4951,c_74]) ).
tcf(c_5236,plain,
app(nil,cons(sK8,sK6)) = cons(sK8,sK6),
inference(superposition,[status(thm)],[c_4951,c_86]) ).
tcf(c_5237,plain,
app(cons(sK8,sK6),nil) = cons(sK8,sK6),
inference(superposition,[status(thm)],[c_4951,c_79]) ).
tcf(c_5342,plain,
! [X0: $i,X1: $i] :
( segmentP(X1,X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_106,c_110]) ).
tcf(c_5344,plain,
! [X0: $i,X1: $i] :
( segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5342,c_92]) ).
tcf(c_5399,plain,
! [X0: $i] :
( memberP(cons(sK8,sK6),X0)
| ~ ssItem(X0)
| ~ memberP(sK6,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5180,c_92,c_66,c_5032,c_5180]) ).
tcf(c_5408,plain,
! [X0: $i] :
( memberP(cons(sK8,sK7),X0)
| ~ ssItem(X0)
| ~ memberP(sK7,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5185,c_92,c_66,c_5032,c_5185]) ).
tcf(c_5417,plain,
! [X0: $i] :
( memberP(cons(sK8,sK6),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK8,nil),X0) ),
inference(global_subsumption_just,[status(thm)],[c_5128,c_92,c_66,c_5032,c_5128]) ).
tcf(c_5426,plain,
( memberP(cons(sK8,sK6),sK8)
| ~ ssItem(sK8)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_94,c_5417]) ).
tcf(c_5428,plain,
memberP(cons(sK8,sK6),sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_5426,c_66,c_92]) ).
tcf(c_5431,plain,
! [X0: $i] :
( memberP(cons(sK8,sK7),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK8,nil),X0) ),
inference(global_subsumption_just,[status(thm)],[c_5133,c_92,c_66,c_5032,c_5133]) ).
tcf(c_5440,plain,
( memberP(cons(sK8,sK7),sK8)
| ~ ssItem(sK8)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_94,c_5431]) ).
tcf(c_5442,plain,
memberP(cons(sK8,sK7),sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_5440,c_66,c_92]) ).
tcf(c_5511,plain,
! [X0: $i,X1: $i] :
( ( cons(sK8,app(X1,X0)) = app(cons(sK8,X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_66,c_70]) ).
tcf(c_5512,plain,
! [X0: $i,X1: $i] :
( ( cons(sK9,app(X1,X0)) = app(cons(sK9,X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_67,c_70]) ).
tcf(c_5513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ( cons(sK11(X0),app(X2,X1)) = app(cons(sK11(X0),X2),X1) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_73,c_70]) ).
tcf(c_5543,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,X0),X1) = app(sK7,app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_64,c_83]) ).
tcf(c_5544,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK6,X0),X1) = app(sK6,app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_65,c_83]) ).
tcf(c_5545,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = nil )
| ( app(app(sK10(X0),X1),X2) = app(sK10(X0),app(X1,X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72,c_83]) ).
tcf(c_5546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(cons(X3,X0),X1),X2) = app(cons(X3,X0),app(X1,X2)) )
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_83]) ).
tcf(c_5547,plain,
! [X0: $i,X1: $i] :
( ( app(app(nil,X0),X1) = app(nil,app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_92,c_83]) ).
tcf(c_5548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(app(X0,X1),X2),X3) = app(app(X0,X1),app(X2,X3)) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87,c_83]) ).
tcf(c_5549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(sK12(X0,X1),X2),X3) = app(sK12(X0,X1),app(X2,X3)) )
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_83]) ).
tcf(c_5550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(sK13(X0,X1),X2),X3) = app(sK13(X0,X1),app(X2,X3)) )
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_83]) ).
tcf(c_5551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(sK14(X0,X1),X2),X3) = app(sK14(X0,X1),app(X2,X3)) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_83]) ).
tcf(c_5552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(sK15(X0,X1),X2),X3) = app(sK15(X0,X1),app(X2,X3)) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_83]) ).
tcf(c_5555,plain,
! [X0: $i,X1: $i] :
( ( app(app(cons(sK8,sK7),X0),X1) = app(cons(sK8,sK7),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_4932,c_83]) ).
tcf(c_5556,plain,
! [X0: $i,X1: $i] :
( ( app(app(cons(sK8,sK6),X0),X1) = app(cons(sK8,sK6),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_4951,c_83]) ).
tcf(c_5687,plain,
! [X0: $i] :
( memberP(sK7,X0)
| memberP(cons(sK8,nil),X0)
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,sK7),X0) ),
inference(superposition,[status(thm)],[c_4870,c_99]) ).
tcf(c_5688,plain,
! [X0: $i] :
( memberP(sK6,X0)
| memberP(cons(sK8,nil),X0)
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,sK6),X0) ),
inference(superposition,[status(thm)],[c_4871,c_99]) ).
tcf(c_5696,plain,
! [X0: $i] :
( memberP(sK6,X0)
| memberP(cons(sK8,nil),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5688,c_65]) ).
tcf(c_5702,plain,
! [X0: $i] :
( memberP(sK7,X0)
| memberP(cons(sK8,nil),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5687,c_64]) ).
tcf(c_5748,plain,
! [X0: $i] :
( ( app(app(sK7,sK7),X0) = app(sK7,app(sK7,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_64,c_5543]) ).
tcf(c_5749,plain,
! [X0: $i] :
( ( app(app(sK7,sK6),X0) = app(sK7,app(sK6,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_65,c_5543]) ).
tcf(c_5750,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( app(app(sK7,sK10(X0)),X1) = app(sK7,app(sK10(X0),X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72,c_5543]) ).
tcf(c_5751,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK7,cons(X2,X0)),X1) = app(sK7,app(cons(X2,X0),X1)) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_5543]) ).
tcf(c_5752,plain,
! [X0: $i] :
( ( app(app(sK7,nil),X0) = app(sK7,app(nil,X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_92,c_5543]) ).
tcf(c_5753,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK7,app(X0,X1)),X2) = app(sK7,app(app(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87,c_5543]) ).
tcf(c_5754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK7,sK12(X0,X1)),X2) = app(sK7,app(sK12(X0,X1),X2)) )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_5543]) ).
tcf(c_5755,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK7,sK13(X0,X1)),X2) = app(sK7,app(sK13(X0,X1),X2)) )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_5543]) ).
tcf(c_5756,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK7,sK14(X0,X1)),X2) = app(sK7,app(sK14(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_5543]) ).
tcf(c_5757,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK7,sK15(X0,X1)),X2) = app(sK7,app(sK15(X0,X1),X2)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_5543]) ).
tcf(c_5760,plain,
! [X0: $i] :
( ( app(app(sK7,cons(sK8,sK7)),X0) = app(sK7,app(cons(sK8,sK7),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_4932,c_5543]) ).
tcf(c_5761,plain,
! [X0: $i] :
( ( app(app(sK7,cons(sK8,sK6)),X0) = app(sK7,app(cons(sK8,sK6),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_4951,c_5543]) ).
tcf(c_5764,plain,
! [X0: $i] :
( ( app(sK7,app(nil,X0)) = app(sK7,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_5752,c_4370]) ).
tcf(c_5852,plain,
app(app(sK7,sK7),sK7) = app(sK7,app(sK7,sK7)),
inference(superposition,[status(thm)],[c_64,c_5748]) ).
tcf(c_5853,plain,
app(app(sK7,sK7),sK6) = app(sK7,app(sK7,sK6)),
inference(superposition,[status(thm)],[c_65,c_5748]) ).
tcf(c_5854,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK7,sK7),sK10(X0)) = app(sK7,app(sK7,sK10(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72,c_5748]) ).
tcf(c_5855,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK7),cons(X1,X0)) = app(sK7,app(sK7,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_5748]) ).
tcf(c_5856,plain,
app(app(sK7,sK7),nil) = app(sK7,app(sK7,nil)),
inference(superposition,[status(thm)],[c_92,c_5748]) ).
tcf(c_5857,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK7),app(X0,X1)) = app(sK7,app(sK7,app(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87,c_5748]) ).
tcf(c_5858,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK7),sK12(X0,X1)) = app(sK7,app(sK7,sK12(X0,X1))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_5748]) ).
tcf(c_5859,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK7),sK13(X0,X1)) = app(sK7,app(sK7,sK13(X0,X1))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_5748]) ).
tcf(c_5860,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK7),sK14(X0,X1)) = app(sK7,app(sK7,sK14(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_5748]) ).
tcf(c_5861,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK7),sK15(X0,X1)) = app(sK7,app(sK7,sK15(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_5748]) ).
tcf(c_5864,plain,
app(app(sK7,sK7),cons(sK8,sK7)) = app(sK7,app(sK7,cons(sK8,sK7))),
inference(superposition,[status(thm)],[c_4932,c_5748]) ).
tcf(c_5865,plain,
app(app(sK7,sK7),cons(sK8,sK6)) = app(sK7,app(sK7,cons(sK8,sK6))),
inference(superposition,[status(thm)],[c_4951,c_5748]) ).
tcf(c_5868,plain,
app(app(sK7,sK7),nil) = app(sK7,sK7),
inference(light_normalisation,[status(thm)],[c_5856,c_4370]) ).
tcf(c_5921,plain,
! [X0: $i] :
( memberP(sK7,X0)
| memberP(app(sK7,sK7),X0)
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK7))
| ~ memberP(app(sK7,app(sK7,sK7)),X0) ),
inference(superposition,[status(thm)],[c_5852,c_99]) ).
tcf(c_5922,plain,
( ( app(sK7,sK7) = nil )
| ~ ssList(sK7)
| ~ ssList(app(sK7,sK7))
| ( app(sK7,app(sK7,sK7)) != nil ) ),
inference(superposition,[status(thm)],[c_5852,c_82]) ).
tcf(c_5923,plain,
( ( nil = sK7 )
| ~ ssList(sK7)
| ~ ssList(app(sK7,sK7))
| ( app(sK7,app(sK7,sK7)) != nil ) ),
inference(superposition,[status(thm)],[c_5852,c_81]) ).
tcf(c_5924,plain,
( ssList(app(sK7,app(sK7,sK7)))
| ~ ssList(sK7)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5852,c_87]) ).
tcf(c_5925,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK7,sK7)),X0)
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK7))
| ~ memberP(app(sK7,sK7),X0) ),
inference(superposition,[status(thm)],[c_5852,c_97]) ).
tcf(c_5926,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK7,sK7)),X0)
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5852,c_98]) ).
tcf(c_5927,plain,
( ssList(app(sK7,app(sK7,sK7)))
| ~ ssList(app(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5924,c_64]) ).
tcf(c_5930,plain,
( ( nil = sK7 )
| ~ ssList(app(sK7,sK7))
| ( app(sK7,app(sK7,sK7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5923,c_64]) ).
tcf(c_5934,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK7,sK7)),X0)
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssList(app(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5926,c_64]) ).
tcf(c_5939,plain,
( ( app(sK7,sK7) = nil )
| ~ ssList(app(sK7,sK7))
| ( app(sK7,app(sK7,sK7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5922,c_64]) ).
tcf(c_5943,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK7,sK7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK7))
| ~ memberP(app(sK7,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5925,c_64]) ).
tcf(c_5948,plain,
! [X0: $i] :
( memberP(sK7,X0)
| memberP(app(sK7,sK7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK7))
| ~ memberP(app(sK7,app(sK7,sK7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5921,c_64]) ).
tcf(c_6013,plain,
( ( app(app(sK7,sK7),app(sK7,app(sK7,sK7))) = app(sK7,app(sK7,app(sK7,app(sK7,sK7)))) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5927,c_5748]) ).
tcf(c_6014,plain,
! [X0: $i] :
( ( app(app(sK7,app(sK7,app(sK7,sK7))),X0) = app(sK7,app(app(sK7,app(sK7,sK7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5927,c_5543]) ).
tcf(c_6015,plain,
! [X0: $i,X1: $i] :
( ( app(app(app(sK7,app(sK7,sK7)),X0),X1) = app(app(sK7,app(sK7,sK7)),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5927,c_83]) ).
tcf(c_6017,plain,
( ( app(cons(sK8,nil),app(sK7,app(sK7,sK7))) = cons(sK8,app(sK7,app(sK7,sK7))) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5927,c_4783]) ).
tcf(c_6018,plain,
( ( app(sK7,app(sK7,sK7)) = nil )
| ( app(nil,sK10(app(sK7,app(sK7,sK7)))) = sK10(app(sK7,app(sK7,sK7))) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5927,c_4390]) ).
tcf(c_6019,plain,
( ( app(sK7,app(sK7,sK7)) = nil )
| ( cons(sK11(app(sK7,app(sK7,sK7))),sK10(app(sK7,app(sK7,sK7)))) = app(sK7,app(sK7,sK7)) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5927,c_74]) ).
tcf(c_6020,plain,
( ( app(nil,app(sK7,app(sK7,sK7))) = app(sK7,app(sK7,sK7)) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5927,c_86]) ).
tcf(c_6021,plain,
( ( app(app(sK7,app(sK7,sK7)),nil) = app(sK7,app(sK7,sK7)) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5927,c_79]) ).
tcf(c_6053,plain,
! [X0: $i] :
( memberP(sK6,X0)
| memberP(app(sK7,sK7),X0)
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK7))
| ~ memberP(app(sK7,app(sK7,sK6)),X0) ),
inference(superposition,[status(thm)],[c_5853,c_99]) ).
tcf(c_6055,plain,
( ( nil = sK6 )
| ~ ssList(sK6)
| ~ ssList(app(sK7,sK7))
| ( app(sK7,app(sK7,sK6)) != nil ) ),
inference(superposition,[status(thm)],[c_5853,c_81]) ).
tcf(c_6056,plain,
( ssList(app(sK7,app(sK7,sK6)))
| ~ ssList(sK6)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5853,c_87]) ).
tcf(c_6057,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK7,sK6)),X0)
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK7))
| ~ memberP(app(sK7,sK7),X0) ),
inference(superposition,[status(thm)],[c_5853,c_97]) ).
tcf(c_6058,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK7,sK6)),X0)
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ memberP(sK6,X0)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5853,c_98]) ).
tcf(c_6059,plain,
( ssList(app(sK7,app(sK7,sK6)))
| ~ ssList(app(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6056,c_65]) ).
tcf(c_6065,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK7,sK6)),X0)
| ~ ssItem(X0)
| ~ memberP(sK6,X0)
| ~ ssList(app(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6058,c_65]) ).
tcf(c_6070,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK7,sK6)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK7))
| ~ memberP(app(sK7,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6057,c_65]) ).
tcf(c_6075,plain,
! [X0: $i] :
( memberP(sK6,X0)
| memberP(app(sK7,sK7),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK7))
| ~ memberP(app(sK7,app(sK7,sK6)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6053,c_65]) ).
tcf(c_6116,plain,
( ( app(app(sK7,sK7),app(sK7,app(sK7,sK6))) = app(sK7,app(sK7,app(sK7,app(sK7,sK6)))) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_6059,c_5748]) ).
tcf(c_6117,plain,
! [X0: $i] :
( ( app(app(sK7,app(sK7,app(sK7,sK6))),X0) = app(sK7,app(app(sK7,app(sK7,sK6)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_6059,c_5543]) ).
tcf(c_6118,plain,
! [X0: $i,X1: $i] :
( ( app(app(app(sK7,app(sK7,sK6)),X0),X1) = app(app(sK7,app(sK7,sK6)),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_6059,c_83]) ).
tcf(c_6120,plain,
( ( app(cons(sK8,nil),app(sK7,app(sK7,sK6))) = cons(sK8,app(sK7,app(sK7,sK6))) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_6059,c_4783]) ).
tcf(c_6121,plain,
( ( app(sK7,app(sK7,sK6)) = nil )
| ( app(nil,sK10(app(sK7,app(sK7,sK6)))) = sK10(app(sK7,app(sK7,sK6))) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_6059,c_4390]) ).
tcf(c_6122,plain,
( ( app(sK7,app(sK7,sK6)) = nil )
| ( cons(sK11(app(sK7,app(sK7,sK6))),sK10(app(sK7,app(sK7,sK6)))) = app(sK7,app(sK7,sK6)) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_6059,c_74]) ).
tcf(c_6123,plain,
( ( app(nil,app(sK7,app(sK7,sK6))) = app(sK7,app(sK7,sK6)) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_6059,c_86]) ).
tcf(c_6124,plain,
( ( app(app(sK7,app(sK7,sK6)),nil) = app(sK7,app(sK7,sK6)) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_6059,c_79]) ).
tcf(c_6167,plain,
app(app(sK7,sK6),sK7) = app(sK7,app(sK6,sK7)),
inference(superposition,[status(thm)],[c_64,c_5749]) ).
tcf(c_6168,plain,
app(app(sK7,sK6),sK6) = app(sK7,app(sK6,sK6)),
inference(superposition,[status(thm)],[c_65,c_5749]) ).
tcf(c_6169,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(app(sK7,sK6),sK10(X0)) = app(sK7,app(sK6,sK10(X0))) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72,c_5749]) ).
tcf(c_6170,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK6),cons(X1,X0)) = app(sK7,app(sK6,cons(X1,X0))) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_5749]) ).
tcf(c_6171,plain,
app(app(sK7,sK6),nil) = app(sK7,app(sK6,nil)),
inference(superposition,[status(thm)],[c_92,c_5749]) ).
tcf(c_6172,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK6),app(X0,X1)) = app(sK7,app(sK6,app(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87,c_5749]) ).
tcf(c_6173,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK6),sK12(X0,X1)) = app(sK7,app(sK6,sK12(X0,X1))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_5749]) ).
tcf(c_6174,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK6),sK13(X0,X1)) = app(sK7,app(sK6,sK13(X0,X1))) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_5749]) ).
tcf(c_6175,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK6),sK14(X0,X1)) = app(sK7,app(sK6,sK14(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_5749]) ).
tcf(c_6176,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK7,sK6),sK15(X0,X1)) = app(sK7,app(sK6,sK15(X0,X1))) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_5749]) ).
tcf(c_6179,plain,
app(app(sK7,sK6),cons(sK8,sK7)) = app(sK7,app(sK6,cons(sK8,sK7))),
inference(superposition,[status(thm)],[c_4932,c_5749]) ).
tcf(c_6180,plain,
app(app(sK7,sK6),cons(sK8,sK6)) = app(sK7,app(sK6,cons(sK8,sK6))),
inference(superposition,[status(thm)],[c_4951,c_5749]) ).
tcf(c_6183,plain,
( ( app(app(sK7,sK6),app(sK7,app(sK7,sK7))) = app(sK7,app(sK6,app(sK7,app(sK7,sK7)))) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5927,c_5749]) ).
tcf(c_6184,plain,
( ( app(app(sK7,sK6),app(sK7,app(sK7,sK6))) = app(sK7,app(sK6,app(sK7,app(sK7,sK6)))) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_6059,c_5749]) ).
tcf(c_6185,plain,
app(app(sK7,sK6),nil) = app(sK7,sK6),
inference(light_normalisation,[status(thm)],[c_6171,c_4371]) ).
tcf(c_6344,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(superposition,[status(thm)],[c_168,c_84]) ).
tcf(c_6346,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK7,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_4370,c_84]) ).
tcf(c_6347,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK6,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_4371,c_84]) ).
tcf(c_6350,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_4379,c_84]) ).
tcf(c_6351,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(nil,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_4380,c_84]) ).
tcf(c_6354,plain,
! [X0: $i] :
( ( nil = sK7 )
| ( sK10(sK7) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK7))
| ( app(nil,X0) != sK10(sK7) ) ),
inference(superposition,[status(thm)],[c_4723,c_84]) ).
tcf(c_6358,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(cons(sK8,nil),X0) != cons(sK8,nil) ) ),
inference(superposition,[status(thm)],[c_4874,c_84]) ).
tcf(c_6359,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(cons(sK8,nil),X0) != cons(sK8,sK7) ) ),
inference(superposition,[status(thm)],[c_4870,c_84]) ).
tcf(c_6360,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(cons(sK8,nil),X0) != cons(sK8,sK6) ) ),
inference(superposition,[status(thm)],[c_4871,c_84]) ).
tcf(c_6363,plain,
! [X0: $i] :
( ( cons(sK8,sK7) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK7))
| ( app(nil,X0) != cons(sK8,sK7) ) ),
inference(superposition,[status(thm)],[c_5222,c_84]) ).
tcf(c_6364,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK7))
| ( app(cons(sK8,sK7),X0) != cons(sK8,sK7) ) ),
inference(superposition,[status(thm)],[c_5223,c_84]) ).
tcf(c_6365,plain,
! [X0: $i] :
( ( cons(sK8,sK6) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK6))
| ( app(nil,X0) != cons(sK8,sK6) ) ),
inference(superposition,[status(thm)],[c_5236,c_84]) ).
tcf(c_6366,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK6))
| ( app(cons(sK8,sK6),X0) != cons(sK8,sK6) ) ),
inference(superposition,[status(thm)],[c_5237,c_84]) ).
tcf(c_6371,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(app(sK7,sK7),X0) != app(sK7,app(sK7,sK7)) ) ),
inference(superposition,[status(thm)],[c_5852,c_84]) ).
tcf(c_6372,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(app(sK7,sK7),X0) != app(sK7,app(sK7,sK6)) ) ),
inference(superposition,[status(thm)],[c_5853,c_84]) ).
tcf(c_6374,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(nil,X0) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6344,c_92]) ).
tcf(c_6378,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ ssList(X0)
| ( app(nil,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6351,c_65,c_92]) ).
tcf(c_6382,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ ssList(X0)
| ( app(nil,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6350,c_64,c_92]) ).
tcf(c_6386,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK6,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6347,c_65,c_92]) ).
tcf(c_6390,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK7,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6346,c_64,c_92]) ).
tcf(c_6415,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK8,sK6),X0) != cons(sK8,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6366,c_92,c_4951]) ).
tcf(c_6419,plain,
! [X0: $i] :
( ( cons(sK8,sK6) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK8,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6365,c_92,c_4951]) ).
tcf(c_6423,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(cons(sK8,sK7),X0) != cons(sK8,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6364,c_92,c_4932]) ).
tcf(c_6427,plain,
! [X0: $i] :
( ( cons(sK8,sK7) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != cons(sK8,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6363,c_92,c_4932]) ).
tcf(c_6431,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(cons(sK8,nil),X0) != cons(sK8,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6360,c_65]) ).
tcf(c_6436,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(cons(sK8,nil),X0) != cons(sK8,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6359,c_64]) ).
tcf(c_6441,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(cons(sK8,nil),X0) != cons(sK8,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6358,c_92]) ).
tcf(c_6462,plain,
! [X0: $i] :
( ( nil = sK7 )
| ( sK10(sK7) = X0 )
| ~ ssList(X0)
| ~ ssList(sK10(sK7))
| ( app(nil,X0) != sK10(sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6354,c_92]) ).
tcf(c_6468,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(app(sK7,sK7),X0) != app(sK7,app(sK7,sK6)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6372,c_65]) ).
tcf(c_6473,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(app(sK7,sK7),X0) != app(sK7,app(sK7,sK7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6371,c_64]) ).
tcf(c_6687,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(superposition,[status(thm)],[c_168,c_85]) ).
tcf(c_6689,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK7 ) ),
inference(superposition,[status(thm)],[c_4370,c_85]) ).
tcf(c_6690,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,nil) != sK6 ) ),
inference(superposition,[status(thm)],[c_4371,c_85]) ).
tcf(c_6693,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK7) != sK7 ) ),
inference(superposition,[status(thm)],[c_4379,c_85]) ).
tcf(c_6694,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(X0,sK6) != sK6 ) ),
inference(superposition,[status(thm)],[c_4380,c_85]) ).
tcf(c_6697,plain,
! [X0: $i] :
( ( nil = sK7 )
| ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK7))
| ( app(X0,sK10(sK7)) != sK10(sK7) ) ),
inference(superposition,[status(thm)],[c_4723,c_85]) ).
tcf(c_6701,plain,
! [X0: $i] :
( ( cons(sK8,nil) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(X0,nil) != cons(sK8,nil) ) ),
inference(superposition,[status(thm)],[c_4874,c_85]) ).
tcf(c_6702,plain,
! [X0: $i] :
( ( cons(sK8,nil) = X0 )
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(X0,sK7) != cons(sK8,sK7) ) ),
inference(superposition,[status(thm)],[c_4870,c_85]) ).
tcf(c_6703,plain,
! [X0: $i] :
( ( cons(sK8,nil) = X0 )
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(X0,sK6) != cons(sK8,sK6) ) ),
inference(superposition,[status(thm)],[c_4871,c_85]) ).
tcf(c_6706,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK7))
| ( app(X0,cons(sK8,sK7)) != cons(sK8,sK7) ) ),
inference(superposition,[status(thm)],[c_5222,c_85]) ).
tcf(c_6707,plain,
! [X0: $i] :
( ( cons(sK8,sK7) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK7))
| ( app(X0,nil) != cons(sK8,sK7) ) ),
inference(superposition,[status(thm)],[c_5223,c_85]) ).
tcf(c_6708,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK6))
| ( app(X0,cons(sK8,sK6)) != cons(sK8,sK6) ) ),
inference(superposition,[status(thm)],[c_5236,c_85]) ).
tcf(c_6709,plain,
! [X0: $i] :
( ( cons(sK8,sK6) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK6))
| ( app(X0,nil) != cons(sK8,sK6) ) ),
inference(superposition,[status(thm)],[c_5237,c_85]) ).
tcf(c_6714,plain,
! [X0: $i] :
( ( app(sK7,sK7) = X0 )
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(sK7,app(sK7,sK7)) != app(X0,sK7) ) ),
inference(superposition,[status(thm)],[c_5852,c_85]) ).
tcf(c_6715,plain,
! [X0: $i] :
( ( app(sK7,sK7) = X0 )
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(sK7,app(sK7,sK6)) != app(X0,sK6) ) ),
inference(superposition,[status(thm)],[c_5853,c_85]) ).
tcf(c_6717,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,nil) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6687,c_92]) ).
tcf(c_6721,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK6) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6694,c_65,c_92]) ).
tcf(c_6725,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK7) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6693,c_64,c_92]) ).
tcf(c_6729,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ ssList(X0)
| ( app(X0,nil) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6690,c_65,c_92]) ).
tcf(c_6733,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ ssList(X0)
| ( app(X0,nil) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6689,c_64,c_92]) ).
tcf(c_6758,plain,
! [X0: $i] :
( ( cons(sK8,sK6) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK8,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6709,c_92,c_4951]) ).
tcf(c_6762,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK8,sK6)) != cons(sK8,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6708,c_92,c_4951]) ).
tcf(c_6766,plain,
! [X0: $i] :
( ( cons(sK8,sK7) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != cons(sK8,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6707,c_92,c_4932]) ).
tcf(c_6770,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,cons(sK8,sK7)) != cons(sK8,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6706,c_92,c_4932]) ).
tcf(c_6774,plain,
! [X0: $i] :
( ( cons(sK8,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(X0,sK6) != cons(sK8,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6703,c_65]) ).
tcf(c_6779,plain,
! [X0: $i] :
( ( cons(sK8,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(X0,sK7) != cons(sK8,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6702,c_64]) ).
tcf(c_6784,plain,
! [X0: $i] :
( ( cons(sK8,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(X0,nil) != cons(sK8,nil) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6701,c_92]) ).
tcf(c_6805,plain,
! [X0: $i] :
( ( nil = sK7 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK10(sK7))
| ( app(X0,sK10(sK7)) != sK10(sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6697,c_92]) ).
tcf(c_6811,plain,
! [X0: $i] :
( ( app(sK7,sK7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(sK7,app(sK7,sK6)) != app(X0,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6715,c_65]) ).
tcf(c_6816,plain,
! [X0: $i] :
( ( app(sK7,sK7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(sK7,app(sK7,sK7)) != app(X0,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6714,c_64]) ).
tcf(c_6959,plain,
! [X0: $i] :
( memberP(sK10(sK7),X0)
| ( nil = sK7 )
| ( sK11(sK7) = X0 )
| ~ ssItem(X0)
| ~ ssItem(sK11(sK7))
| ~ ssList(sK10(sK7))
| ~ memberP(sK7,X0) ),
inference(superposition,[status(thm)],[c_4583,c_96]) ).
tcf(c_7045,plain,
! [X0: $i,X1: $i] :
( ( app(sK12(cons(X0,X1),X0),cons(X0,sK13(cons(X0,X1),X0))) = cons(X0,X1) )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_94,c_103]) ).
tcf(c_7046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(sK12(cons(X0,X1),X2),cons(X2,sK13(cons(X0,X1),X2))) = cons(X0,X1) )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ ssList(cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_95,c_103]) ).
tcf(c_7047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(sK12(app(X0,X1),X2),cons(X2,sK13(app(X0,X1),X2))) = app(X0,X1) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_103]) ).
tcf(c_7048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(sK12(app(X0,X1),X2),cons(X2,sK13(app(X0,X1),X2))) = app(X0,X1) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[status(thm)],[c_98,c_103]) ).
tcf(c_7050,plain,
( ( nil = sK7 )
| ( app(sK12(sK7,sK11(sK7)),cons(sK11(sK7),sK13(sK7,sK11(sK7)))) = sK7 )
| ~ ssList(sK7)
| ~ ssItem(sK11(sK7))
| ~ ssList(sK10(sK7)) ),
inference(superposition,[status(thm)],[c_4641,c_103]) ).
tcf(c_7054,plain,
! [X0: $i] :
( ( app(sK12(cons(sK8,sK7),X0),cons(X0,sK13(cons(sK8,sK7),X0))) = cons(sK8,sK7) )
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssList(cons(sK8,sK7)) ),
inference(superposition,[status(thm)],[c_5408,c_103]) ).
tcf(c_7055,plain,
! [X0: $i] :
( ( app(sK12(cons(sK8,sK6),X0),cons(X0,sK13(cons(sK8,sK6),X0))) = cons(sK8,sK6) )
| ~ ssItem(X0)
| ~ memberP(sK6,X0)
| ~ ssList(cons(sK8,sK6)) ),
inference(superposition,[status(thm)],[c_5399,c_103]) ).
tcf(c_7058,plain,
( ( app(sK12(cons(sK8,sK6),sK8),cons(sK8,sK13(cons(sK8,sK6),sK8))) = cons(sK8,sK6) )
| ~ ssItem(sK8)
| ~ ssList(cons(sK8,sK6)) ),
inference(superposition,[status(thm)],[c_5428,c_103]) ).
tcf(c_7059,plain,
( ( app(sK12(cons(sK8,sK7),sK8),cons(sK8,sK13(cons(sK8,sK7),sK8))) = cons(sK8,sK7) )
| ~ ssItem(sK8)
| ~ ssList(cons(sK8,sK7)) ),
inference(superposition,[status(thm)],[c_5442,c_103]) ).
tcf(c_7060,plain,
app(sK12(cons(sK8,sK7),sK8),cons(sK8,sK13(cons(sK8,sK7),sK8))) = cons(sK8,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_7059,c_66,c_4932]) ).
tcf(c_7061,plain,
app(sK12(cons(sK8,sK6),sK8),cons(sK8,sK13(cons(sK8,sK6),sK8))) = cons(sK8,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_7058,c_66,c_4951]) ).
tcf(c_7075,plain,
! [X0: $i] :
( ( app(sK12(cons(sK8,sK6),X0),cons(X0,sK13(cons(sK8,sK6),X0))) = cons(sK8,sK6) )
| ~ ssItem(X0)
| ~ memberP(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7055,c_4951]) ).
tcf(c_7079,plain,
! [X0: $i] :
( ( app(sK12(cons(sK8,sK7),X0),cons(X0,sK13(cons(sK8,sK7),X0))) = cons(sK8,sK7) )
| ~ ssItem(X0)
| ~ memberP(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7054,c_4932]) ).
tcf(c_7087,plain,
( ( nil = sK7 )
| ( app(sK12(sK7,sK11(sK7)),cons(sK11(sK7),sK13(sK7,sK11(sK7)))) = sK7 )
| ~ ssItem(sK11(sK7))
| ~ ssList(sK10(sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7050,c_64]) ).
tcf(c_7196,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(app(sK7,sK7),X0) != app(sK7,sK7) ) ),
inference(superposition,[status(thm)],[c_5868,c_84]) ).
tcf(c_7198,plain,
! [X0: $i] :
( ( app(sK7,sK7) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(X0,nil) != app(sK7,sK7) ) ),
inference(superposition,[status(thm)],[c_5868,c_85]) ).
tcf(c_7200,plain,
! [X0: $i] :
( ( app(sK7,sK7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(X0,nil) != app(sK7,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7198,c_92]) ).
tcf(c_7205,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ( app(app(sK7,sK7),X0) != app(sK7,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7196,c_92]) ).
tcf(c_7217,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(app(sK7,sK6),X0) != app(sK7,sK6) ) ),
inference(superposition,[status(thm)],[c_6185,c_84]) ).
tcf(c_7219,plain,
! [X0: $i] :
( ( app(sK7,sK6) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(X0,nil) != app(sK7,sK6) ) ),
inference(superposition,[status(thm)],[c_6185,c_85]) ).
tcf(c_7221,plain,
! [X0: $i] :
( ( app(sK7,sK6) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(X0,nil) != app(sK7,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7219,c_92]) ).
tcf(c_7226,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(app(sK7,sK6),X0) != app(sK7,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7217,c_92]) ).
tcf(c_7369,plain,
! [X0: $i] :
( memberP(sK7,X0)
| memberP(app(sK7,sK6),X0)
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK6))
| ~ memberP(app(sK7,app(sK6,sK7)),X0) ),
inference(superposition,[status(thm)],[c_6167,c_99]) ).
tcf(c_7370,plain,
( ( app(sK7,sK6) = nil )
| ~ ssList(sK7)
| ~ ssList(app(sK7,sK6))
| ( app(sK7,app(sK6,sK7)) != nil ) ),
inference(superposition,[status(thm)],[c_6167,c_82]) ).
tcf(c_7371,plain,
( ( nil = sK7 )
| ~ ssList(sK7)
| ~ ssList(app(sK7,sK6))
| ( app(sK7,app(sK6,sK7)) != nil ) ),
inference(superposition,[status(thm)],[c_6167,c_81]) ).
tcf(c_7372,plain,
( ssList(app(sK7,app(sK6,sK7)))
| ~ ssList(sK7)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_6167,c_87]) ).
tcf(c_7373,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(app(sK7,sK6),X0) != app(sK7,app(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_6167,c_84]) ).
tcf(c_7374,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK6,sK7)),X0)
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK6))
| ~ memberP(app(sK7,sK6),X0) ),
inference(superposition,[status(thm)],[c_6167,c_97]) ).
tcf(c_7375,plain,
! [X0: $i] :
( ( app(sK7,sK6) = X0 )
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(sK7,app(sK6,sK7)) != app(X0,sK7) ) ),
inference(superposition,[status(thm)],[c_6167,c_85]) ).
tcf(c_7376,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK6,sK7)),X0)
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_6167,c_98]) ).
tcf(c_7377,plain,
( ssList(app(sK7,app(sK6,sK7)))
| ~ ssList(app(sK7,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7372,c_64]) ).
tcf(c_7380,plain,
( ( nil = sK7 )
| ~ ssList(app(sK7,sK6))
| ( app(sK7,app(sK6,sK7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7371,c_64]) ).
tcf(c_7384,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssList(app(sK7,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7376,c_64]) ).
tcf(c_7389,plain,
( ( app(sK7,sK6) = nil )
| ~ ssList(app(sK7,sK6))
| ( app(sK7,app(sK6,sK7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7370,c_64]) ).
tcf(c_7393,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK6))
| ~ memberP(app(sK7,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7374,c_64]) ).
tcf(c_7398,plain,
! [X0: $i] :
( memberP(sK7,X0)
| memberP(app(sK7,sK6),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK6))
| ~ memberP(app(sK7,app(sK6,sK7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7369,c_64]) ).
tcf(c_7404,plain,
! [X0: $i] :
( ( app(sK7,sK6) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(sK7,app(sK6,sK7)) != app(X0,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7375,c_64]) ).
tcf(c_7409,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(app(sK7,sK6),X0) != app(sK7,app(sK6,sK7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7373,c_64]) ).
tcf(c_7451,plain,
( ( app(app(sK7,sK6),app(sK7,app(sK6,sK7))) = app(sK7,app(sK6,app(sK7,app(sK6,sK7)))) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7377,c_5749]) ).
tcf(c_7452,plain,
( ( app(app(sK7,sK7),app(sK7,app(sK6,sK7))) = app(sK7,app(sK7,app(sK7,app(sK6,sK7)))) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7377,c_5748]) ).
tcf(c_7453,plain,
! [X0: $i] :
( ( app(app(sK7,app(sK7,app(sK6,sK7))),X0) = app(sK7,app(app(sK7,app(sK6,sK7)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7377,c_5543]) ).
tcf(c_7454,plain,
! [X0: $i,X1: $i] :
( ( app(app(app(sK7,app(sK6,sK7)),X0),X1) = app(app(sK7,app(sK6,sK7)),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7377,c_83]) ).
tcf(c_7456,plain,
( ( app(cons(sK8,nil),app(sK7,app(sK6,sK7))) = cons(sK8,app(sK7,app(sK6,sK7))) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7377,c_4783]) ).
tcf(c_7457,plain,
( ( app(sK7,app(sK6,sK7)) = nil )
| ( app(nil,sK10(app(sK7,app(sK6,sK7)))) = sK10(app(sK7,app(sK6,sK7))) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7377,c_4390]) ).
tcf(c_7458,plain,
( ( app(sK7,app(sK6,sK7)) = nil )
| ( cons(sK11(app(sK7,app(sK6,sK7))),sK10(app(sK7,app(sK6,sK7)))) = app(sK7,app(sK6,sK7)) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7377,c_74]) ).
tcf(c_7459,plain,
( ( app(nil,app(sK7,app(sK6,sK7))) = app(sK7,app(sK6,sK7)) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7377,c_86]) ).
tcf(c_7460,plain,
( ( app(app(sK7,app(sK6,sK7)),nil) = app(sK7,app(sK6,sK7)) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7377,c_79]) ).
tcf(c_7490,plain,
! [X0: $i] :
( memberP(sK6,X0)
| memberP(app(sK7,sK6),X0)
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK6))
| ~ memberP(app(sK7,app(sK6,sK6)),X0) ),
inference(superposition,[status(thm)],[c_6168,c_99]) ).
tcf(c_7492,plain,
( ( nil = sK6 )
| ~ ssList(sK6)
| ~ ssList(app(sK7,sK6))
| ( app(sK7,app(sK6,sK6)) != nil ) ),
inference(superposition,[status(thm)],[c_6168,c_81]) ).
tcf(c_7493,plain,
( ssList(app(sK7,app(sK6,sK6)))
| ~ ssList(sK6)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_6168,c_87]) ).
tcf(c_7494,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(app(sK7,sK6),X0) != app(sK7,app(sK6,sK6)) ) ),
inference(superposition,[status(thm)],[c_6168,c_84]) ).
tcf(c_7495,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK6,sK6)),X0)
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK6))
| ~ memberP(app(sK7,sK6),X0) ),
inference(superposition,[status(thm)],[c_6168,c_97]) ).
tcf(c_7496,plain,
! [X0: $i] :
( ( app(sK7,sK6) = X0 )
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(sK7,app(sK6,sK6)) != app(X0,sK6) ) ),
inference(superposition,[status(thm)],[c_6168,c_85]) ).
tcf(c_7497,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK6,sK6)),X0)
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ memberP(sK6,X0)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_6168,c_98]) ).
tcf(c_7498,plain,
( ssList(app(sK7,app(sK6,sK6)))
| ~ ssList(app(sK7,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7493,c_65]) ).
tcf(c_7504,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK6,sK6)),X0)
| ~ ssItem(X0)
| ~ memberP(sK6,X0)
| ~ ssList(app(sK7,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7497,c_65]) ).
tcf(c_7509,plain,
! [X0: $i] :
( memberP(app(sK7,app(sK6,sK6)),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK6))
| ~ memberP(app(sK7,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7495,c_65]) ).
tcf(c_7514,plain,
! [X0: $i] :
( memberP(sK6,X0)
| memberP(app(sK7,sK6),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK7,sK6))
| ~ memberP(app(sK7,app(sK6,sK6)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7490,c_65]) ).
tcf(c_7520,plain,
! [X0: $i] :
( ( app(sK7,sK6) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(sK7,app(sK6,sK6)) != app(X0,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7496,c_65]) ).
tcf(c_7525,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ( app(app(sK7,sK6),X0) != app(sK7,app(sK6,sK6)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7494,c_65]) ).
tcf(c_7555,plain,
( ( app(app(sK7,sK6),app(sK7,app(sK6,sK6))) = app(sK7,app(sK6,app(sK7,app(sK6,sK6)))) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7498,c_5749]) ).
tcf(c_7556,plain,
( ( app(app(sK7,sK7),app(sK7,app(sK6,sK6))) = app(sK7,app(sK7,app(sK7,app(sK6,sK6)))) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7498,c_5748]) ).
tcf(c_7557,plain,
! [X0: $i] :
( ( app(app(sK7,app(sK7,app(sK6,sK6))),X0) = app(sK7,app(app(sK7,app(sK6,sK6)),X0)) )
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7498,c_5543]) ).
tcf(c_7558,plain,
! [X0: $i,X1: $i] :
( ( app(app(app(sK7,app(sK6,sK6)),X0),X1) = app(app(sK7,app(sK6,sK6)),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7498,c_83]) ).
tcf(c_7560,plain,
( ( app(cons(sK8,nil),app(sK7,app(sK6,sK6))) = cons(sK8,app(sK7,app(sK6,sK6))) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7498,c_4783]) ).
tcf(c_7561,plain,
( ( app(sK7,app(sK6,sK6)) = nil )
| ( app(nil,sK10(app(sK7,app(sK6,sK6)))) = sK10(app(sK7,app(sK6,sK6))) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7498,c_4390]) ).
tcf(c_7562,plain,
( ( app(sK7,app(sK6,sK6)) = nil )
| ( cons(sK11(app(sK7,app(sK6,sK6))),sK10(app(sK7,app(sK6,sK6)))) = app(sK7,app(sK6,sK6)) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7498,c_74]) ).
tcf(c_7563,plain,
( ( app(nil,app(sK7,app(sK6,sK6))) = app(sK7,app(sK6,sK6)) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7498,c_86]) ).
tcf(c_7564,plain,
( ( app(app(sK7,app(sK6,sK6)),nil) = app(sK7,app(sK6,sK6)) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7498,c_79]) ).
tcf(c_7734,plain,
( ( app(app(sK14(nil,nil),nil),sK15(nil,nil)) = nil )
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_166,c_114]) ).
tcf(c_7735,plain,
! [X0: $i] :
( ( app(app(sK14(X0,nil),nil),sK15(X0,nil)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_106,c_114]) ).
tcf(c_7736,plain,
! [X0: $i] :
( ( app(app(sK14(X0,X0),X0),sK15(X0,X0)) = X0 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_108,c_114]) ).
tcf(c_7739,plain,
app(app(sK14(nil,nil),nil),sK15(nil,nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_7734,c_92]) ).
tcf(c_7740,plain,
! [X0: $i] :
( ( app(app(sK14(X0,nil),nil),sK15(X0,nil)) = X0 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7735,c_92]) ).
tcf(c_7762,plain,
! [X0: $i] :
( memberP(app(X0,sK7),sK11(sK7))
| ( nil = sK7 )
| ~ ssList(X0)
| ~ ssItem(sK11(sK7))
| ~ ssList(sK10(sK7))
| ~ ssList(app(X0,cons(sK11(sK7),sK10(sK7)))) ),
inference(superposition,[status(thm)],[c_4583,c_100]) ).
tcf(c_7769,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(sK12(app(X0,cons(X1,X2)),X1),cons(X1,sK13(app(X0,cons(X1,X2)),X1))) = app(X0,cons(X1,X2)) )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_100,c_103]) ).
tcf(c_7770,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X0,X1)
| memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(cons(X1,X2))
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_100,c_99]) ).
tcf(c_7883,plain,
! [X0: $i] :
( segmentP(app(sK7,sK6),X0)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(superposition,[status(thm)],[c_6185,c_107]) ).
tcf(c_7884,plain,
! [X0: $i] :
( segmentP(app(sK7,sK7),X0)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK7,X0) ),
inference(superposition,[status(thm)],[c_5868,c_107]) ).
tcf(c_7885,plain,
! [X0: $i] :
( segmentP(app(sK7,app(sK7,sK7)),X0)
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ segmentP(sK7,X0) ),
inference(superposition,[status(thm)],[c_5852,c_107]) ).
tcf(c_7886,plain,
! [X0: $i] :
( segmentP(app(sK7,app(sK7,sK6)),X0)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ segmentP(sK7,X0) ),
inference(superposition,[status(thm)],[c_5853,c_107]) ).
tcf(c_7887,plain,
! [X0: $i] :
( segmentP(app(sK7,app(sK6,sK7)),X0)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(superposition,[status(thm)],[c_6167,c_107]) ).
tcf(c_7888,plain,
! [X0: $i] :
( segmentP(app(sK7,app(sK6,sK6)),X0)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(superposition,[status(thm)],[c_6168,c_107]) ).
tcf(c_7889,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_168,c_107]) ).
tcf(c_7891,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK7,X1),X0)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_4370,c_107]) ).
tcf(c_7892,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK6,X1),X0)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_4371,c_107]) ).
tcf(c_7895,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK7,X1),X0)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK7,X0) ),
inference(superposition,[status(thm)],[c_4379,c_107]) ).
tcf(c_7896,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK6,X1),X0)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(superposition,[status(thm)],[c_4380,c_107]) ).
tcf(c_7899,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK10(sK7),X1),X0)
| ( nil = sK7 )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK10(sK7))
| ~ segmentP(sK10(sK7),X0) ),
inference(superposition,[status(thm)],[c_4723,c_107]) ).
tcf(c_7903,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,nil),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK8,nil)) ),
inference(superposition,[status(thm)],[c_4874,c_107]) ).
tcf(c_7904,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK7),X1),X0)
| ~ ssList(sK7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK7,X0)
| ~ ssList(cons(sK8,nil)) ),
inference(superposition,[status(thm)],[c_4870,c_107]) ).
tcf(c_7905,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK6),X1),X0)
| ~ ssList(sK6)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK6,X0)
| ~ ssList(cons(sK8,nil)) ),
inference(superposition,[status(thm)],[c_4871,c_107]) ).
tcf(c_7908,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK7),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK7))
| ~ segmentP(cons(sK8,sK7),X0) ),
inference(superposition,[status(thm)],[c_5222,c_107]) ).
tcf(c_7909,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK7),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK8,sK7)) ),
inference(superposition,[status(thm)],[c_5223,c_107]) ).
tcf(c_7910,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK6),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK6))
| ~ segmentP(cons(sK8,sK6),X0) ),
inference(superposition,[status(thm)],[c_5236,c_107]) ).
tcf(c_7911,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK6),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK8,sK6)) ),
inference(superposition,[status(thm)],[c_5237,c_107]) ).
tcf(c_7916,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,sK6),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_6185,c_107]) ).
tcf(c_7917,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,sK7),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5868,c_107]) ).
tcf(c_7918,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,app(sK7,sK7)),X1),X0)
| ~ ssList(sK7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK7,X0)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5852,c_107]) ).
tcf(c_7919,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,app(sK7,sK6)),X1),X0)
| ~ ssList(sK6)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK6,X0)
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5853,c_107]) ).
tcf(c_7920,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,app(sK6,sK7)),X1),X0)
| ~ ssList(sK7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK7,X0)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_6167,c_107]) ).
tcf(c_7921,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,app(sK6,sK6)),X1),X0)
| ~ ssList(sK6)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK6,X0)
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_6168,c_107]) ).
tcf(c_7922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(sK14(app(app(X0,X1),X2),X3),X3),sK15(app(app(X0,X1),X2),X3)) = app(app(X0,X1),X2) )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X3)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_107,c_114]) ).
tcf(c_7923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( segmentP(app(app(X0,X1),X2),X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X3,X4)
| ~ segmentP(X1,X3)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_107,c_110]) ).
tcf(c_7924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(app(X1,X2),X3) = X0 )
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X0)
| ~ ssList(app(app(X1,X2),X3))
| ~ segmentP(X0,app(app(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_107,c_109]) ).
tcf(c_7925,plain,
! [X0: $i] :
( segmentP(app(sK7,app(sK7,sK7)),X0)
| ~ ssList(X0)
| ~ segmentP(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7885,c_64]) ).
tcf(c_7929,plain,
! [X0: $i,X1: $i] :
( segmentP(app(nil,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7889,c_92]) ).
tcf(c_7934,plain,
! [X0: $i] :
( segmentP(app(sK7,sK7),X0)
| ~ ssList(X0)
| ~ segmentP(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7884,c_64,c_92]) ).
tcf(c_7942,plain,
! [X0: $i] :
( segmentP(app(sK7,app(sK6,sK6)),X0)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7888,c_65,c_64]) ).
tcf(c_7946,plain,
! [X0: $i] :
( segmentP(app(sK7,app(sK6,sK7)),X0)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7887,c_65,c_64]) ).
tcf(c_7950,plain,
! [X0: $i] :
( segmentP(app(sK7,app(sK7,sK6)),X0)
| ~ ssList(X0)
| ~ segmentP(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7886,c_65,c_64]) ).
tcf(c_7954,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK6,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7896,c_65,c_92]) ).
tcf(c_7959,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK7,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7895,c_64,c_92]) ).
tcf(c_7964,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK6,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7892,c_65,c_92]) ).
tcf(c_7969,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK7,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7891,c_64,c_92]) ).
tcf(c_7974,plain,
! [X0: $i] :
( segmentP(app(sK7,sK6),X0)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7883,c_65,c_64,c_92]) ).
tcf(c_7992,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,sK7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7917,c_92]) ).
tcf(c_7998,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,sK6),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sK7,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7916,c_92]) ).
tcf(c_8014,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK6),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7911,c_92,c_4951]) ).
tcf(c_8019,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7909,c_92,c_4932]) ).
tcf(c_8024,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK6),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK6,X0)
| ~ ssList(cons(sK8,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7905,c_65]) ).
tcf(c_8030,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK7,X0)
| ~ ssList(cons(sK8,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7904,c_64]) ).
tcf(c_8036,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,nil),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(cons(sK8,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7903,c_92]) ).
tcf(c_8052,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,app(sK6,sK6)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK6,X0)
| ~ ssList(app(sK7,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7921,c_65]) ).
tcf(c_8058,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,app(sK6,sK7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK7,X0)
| ~ ssList(app(sK7,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7920,c_64]) ).
tcf(c_8064,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,app(sK7,sK6)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK6,X0)
| ~ ssList(app(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7919,c_65]) ).
tcf(c_8070,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK7,app(sK7,sK7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK7,X0)
| ~ ssList(app(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7918,c_64]) ).
tcf(c_8086,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK6),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK8,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7910,c_92,c_4951]) ).
tcf(c_8091,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK8,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7908,c_92,c_4932]) ).
tcf(c_8106,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK10(sK7),X1),X0)
| ( nil = sK7 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK10(sK7))
| ~ segmentP(sK10(sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7899,c_92]) ).
tcf(c_8391,plain,
( segmentP(app(sK7,sK6),sK6)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(app(app(sK7,sK6),nil)) ),
inference(superposition,[status(thm)],[c_6185,c_111]) ).
tcf(c_8392,plain,
( segmentP(app(sK7,sK7),sK7)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(app(app(sK7,sK7),nil)) ),
inference(superposition,[status(thm)],[c_5868,c_111]) ).
tcf(c_8393,plain,
( segmentP(app(sK7,app(sK7,sK7)),sK7)
| ~ ssList(sK7)
| ~ ssList(app(app(sK7,sK7),sK7)) ),
inference(superposition,[status(thm)],[c_5852,c_111]) ).
tcf(c_8394,plain,
( segmentP(app(sK7,app(sK7,sK6)),sK7)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(app(app(sK7,sK7),sK6)) ),
inference(superposition,[status(thm)],[c_5853,c_111]) ).
tcf(c_8395,plain,
( segmentP(app(sK7,app(sK6,sK7)),sK6)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(app(app(sK7,sK6),sK7)) ),
inference(superposition,[status(thm)],[c_6167,c_111]) ).
tcf(c_8396,plain,
( segmentP(app(sK7,app(sK6,sK6)),sK6)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(app(app(sK7,sK6),sK6)) ),
inference(superposition,[status(thm)],[c_6168,c_111]) ).
tcf(c_8397,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,nil),X0)) ),
inference(superposition,[status(thm)],[c_168,c_111]) ).
tcf(c_8399,plain,
! [X0: $i] :
( segmentP(app(sK7,X0),nil)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(sK7,nil),X0)) ),
inference(superposition,[status(thm)],[c_4370,c_111]) ).
tcf(c_8400,plain,
! [X0: $i] :
( segmentP(app(sK6,X0),nil)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(sK6,nil),X0)) ),
inference(superposition,[status(thm)],[c_4371,c_111]) ).
tcf(c_8403,plain,
! [X0: $i] :
( segmentP(app(sK7,X0),sK7)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK7),X0)) ),
inference(superposition,[status(thm)],[c_4379,c_111]) ).
tcf(c_8404,plain,
! [X0: $i] :
( segmentP(app(sK6,X0),sK6)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK6),X0)) ),
inference(superposition,[status(thm)],[c_4380,c_111]) ).
tcf(c_8407,plain,
! [X0: $i] :
( segmentP(app(sK10(sK7),X0),sK10(sK7))
| ( nil = sK7 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK7))
| ~ ssList(app(app(nil,sK10(sK7)),X0)) ),
inference(superposition,[status(thm)],[c_4723,c_111]) ).
tcf(c_8411,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,nil),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(app(cons(sK8,nil),nil),X0)) ),
inference(superposition,[status(thm)],[c_4874,c_111]) ).
tcf(c_8412,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK7),X0),sK7)
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(app(cons(sK8,nil),sK7),X0)) ),
inference(superposition,[status(thm)],[c_4870,c_111]) ).
tcf(c_8413,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK6),X0),sK6)
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(app(cons(sK8,nil),sK6),X0)) ),
inference(superposition,[status(thm)],[c_4871,c_111]) ).
tcf(c_8416,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK7),X0),cons(sK8,sK7))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK7))
| ~ ssList(app(app(nil,cons(sK8,sK7)),X0)) ),
inference(superposition,[status(thm)],[c_5222,c_111]) ).
tcf(c_8417,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK7),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK7))
| ~ ssList(app(app(cons(sK8,sK7),nil),X0)) ),
inference(superposition,[status(thm)],[c_5223,c_111]) ).
tcf(c_8418,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK6),X0),cons(sK8,sK6))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK6))
| ~ ssList(app(app(nil,cons(sK8,sK6)),X0)) ),
inference(superposition,[status(thm)],[c_5236,c_111]) ).
tcf(c_8419,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK6),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK6))
| ~ ssList(app(app(cons(sK8,sK6),nil),X0)) ),
inference(superposition,[status(thm)],[c_5237,c_111]) ).
tcf(c_8424,plain,
! [X0: $i] :
( segmentP(app(app(sK7,sK6),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ~ ssList(app(app(app(sK7,sK6),nil),X0)) ),
inference(superposition,[status(thm)],[c_6185,c_111]) ).
tcf(c_8425,plain,
! [X0: $i] :
( segmentP(app(app(sK7,sK7),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ~ ssList(app(app(app(sK7,sK7),nil),X0)) ),
inference(superposition,[status(thm)],[c_5868,c_111]) ).
tcf(c_8426,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK7,sK7)),X0),sK7)
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ~ ssList(app(app(app(sK7,sK7),sK7),X0)) ),
inference(superposition,[status(thm)],[c_5852,c_111]) ).
tcf(c_8427,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK7,sK6)),X0),sK6)
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ~ ssList(app(app(app(sK7,sK7),sK6),X0)) ),
inference(superposition,[status(thm)],[c_5853,c_111]) ).
tcf(c_8428,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK6,sK7)),X0),sK7)
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ~ ssList(app(app(app(sK7,sK6),sK7),X0)) ),
inference(superposition,[status(thm)],[c_6167,c_111]) ).
tcf(c_8429,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK6,sK6)),X0),sK6)
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ~ ssList(app(app(app(sK7,sK6),sK6),X0)) ),
inference(superposition,[status(thm)],[c_6168,c_111]) ).
tcf(c_8430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(sK14(app(app(X0,X1),X2),X1),X1),sK15(app(app(X0,X1),X2),X1)) = app(app(X0,X1),X2) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_111,c_114]) ).
tcf(c_8431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(app(X0,X1),X2),X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X3)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_111,c_110]) ).
tcf(c_8432,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X1,X0),X2) = X0 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2))
| ~ segmentP(X0,app(app(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_111,c_109]) ).
tcf(c_8433,plain,
( segmentP(app(sK7,app(sK7,sK7)),sK7)
| ~ ssList(sK7)
| ~ ssList(app(sK7,app(sK7,sK7))) ),
inference(light_normalisation,[status(thm)],[c_8393,c_5852]) ).
tcf(c_8434,plain,
( segmentP(app(sK7,app(sK7,sK7)),sK7)
| ~ ssList(app(sK7,app(sK7,sK7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8433,c_64]) ).
tcf(c_8437,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(light_normalisation,[status(thm)],[c_8397,c_168]) ).
tcf(c_8438,plain,
! [X0: $i] :
( segmentP(app(nil,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8437,c_92]) ).
tcf(c_8442,plain,
( segmentP(app(sK7,sK7),sK7)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(app(sK7,sK7)) ),
inference(light_normalisation,[status(thm)],[c_8392,c_5868]) ).
tcf(c_8443,plain,
( segmentP(app(sK7,sK7),sK7)
| ~ ssList(app(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8442,c_64,c_92]) ).
tcf(c_8448,plain,
( segmentP(app(sK7,app(sK6,sK6)),sK6)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(app(sK7,app(sK6,sK6))) ),
inference(light_normalisation,[status(thm)],[c_8396,c_6168]) ).
tcf(c_8449,plain,
( segmentP(app(sK7,app(sK6,sK6)),sK6)
| ~ ssList(app(sK7,app(sK6,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8448,c_65,c_64]) ).
tcf(c_8452,plain,
( segmentP(app(sK7,app(sK6,sK7)),sK6)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(app(sK7,app(sK6,sK7))) ),
inference(light_normalisation,[status(thm)],[c_8395,c_6167]) ).
tcf(c_8453,plain,
( segmentP(app(sK7,app(sK6,sK7)),sK6)
| ~ ssList(app(sK7,app(sK6,sK7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8452,c_65,c_64]) ).
tcf(c_8456,plain,
( segmentP(app(sK7,app(sK7,sK6)),sK7)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(app(sK7,app(sK7,sK6))) ),
inference(light_normalisation,[status(thm)],[c_8394,c_5853]) ).
tcf(c_8457,plain,
( segmentP(app(sK7,app(sK7,sK6)),sK7)
| ~ ssList(app(sK7,app(sK7,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8456,c_65,c_64]) ).
tcf(c_8460,plain,
! [X0: $i] :
( segmentP(app(sK6,X0),sK6)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,X0)) ),
inference(light_normalisation,[status(thm)],[c_8404,c_4380]) ).
tcf(c_8461,plain,
! [X0: $i] :
( segmentP(app(sK6,X0),sK6)
| ~ ssList(X0)
| ~ ssList(app(sK6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8460,c_65,c_92]) ).
tcf(c_8465,plain,
! [X0: $i] :
( segmentP(app(sK7,X0),sK7)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,X0)) ),
inference(light_normalisation,[status(thm)],[c_8403,c_4379]) ).
tcf(c_8466,plain,
! [X0: $i] :
( segmentP(app(sK7,X0),sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8465,c_64,c_92]) ).
tcf(c_8470,plain,
! [X0: $i] :
( segmentP(app(sK6,X0),nil)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,X0)) ),
inference(light_normalisation,[status(thm)],[c_8400,c_4371]) ).
tcf(c_8471,plain,
! [X0: $i] :
( segmentP(app(sK6,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8470,c_65,c_92]) ).
tcf(c_8475,plain,
! [X0: $i] :
( segmentP(app(sK7,X0),nil)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,X0)) ),
inference(light_normalisation,[status(thm)],[c_8399,c_4370]) ).
tcf(c_8476,plain,
! [X0: $i] :
( segmentP(app(sK7,X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8475,c_64,c_92]) ).
tcf(c_8480,plain,
( segmentP(app(sK7,sK6),sK6)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(app(sK7,sK6)) ),
inference(light_normalisation,[status(thm)],[c_8391,c_6185]) ).
tcf(c_8481,plain,
( segmentP(app(sK7,sK6),sK6)
| ~ ssList(app(sK7,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8480,c_65,c_64,c_92]) ).
tcf(c_8492,plain,
! [X0: $i] :
( segmentP(app(app(sK7,sK7),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ~ ssList(app(app(sK7,sK7),X0)) ),
inference(light_normalisation,[status(thm)],[c_8425,c_5868]) ).
tcf(c_8493,plain,
! [X0: $i] :
( segmentP(app(app(sK7,sK7),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ~ ssList(app(app(sK7,sK7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8492,c_92]) ).
tcf(c_8498,plain,
! [X0: $i] :
( segmentP(app(app(sK7,sK6),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ~ ssList(app(app(sK7,sK6),X0)) ),
inference(light_normalisation,[status(thm)],[c_8424,c_6185]) ).
tcf(c_8499,plain,
! [X0: $i] :
( segmentP(app(app(sK7,sK6),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ~ ssList(app(app(sK7,sK6),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8498,c_92]) ).
tcf(c_8514,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK6),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK6))
| ~ ssList(app(cons(sK8,sK6),X0)) ),
inference(light_normalisation,[status(thm)],[c_8419,c_5237]) ).
tcf(c_8515,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK6),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK8,sK6),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8514,c_92,c_4951]) ).
tcf(c_8519,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK7),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK7))
| ~ ssList(app(cons(sK8,sK7),X0)) ),
inference(light_normalisation,[status(thm)],[c_8417,c_5223]) ).
tcf(c_8520,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK7),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK8,sK7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8519,c_92,c_4932]) ).
tcf(c_8524,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK6),X0),sK6)
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(cons(sK8,sK6),X0)) ),
inference(light_normalisation,[status(thm)],[c_8413,c_4871]) ).
tcf(c_8525,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK6),X0),sK6)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(cons(sK8,sK6),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8524,c_65]) ).
tcf(c_8530,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK7),X0),sK7)
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(cons(sK8,sK7),X0)) ),
inference(light_normalisation,[status(thm)],[c_8412,c_4870]) ).
tcf(c_8531,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK7),X0),sK7)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(cons(sK8,sK7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8530,c_64]) ).
tcf(c_8536,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,nil),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(cons(sK8,nil),X0)) ),
inference(light_normalisation,[status(thm)],[c_8411,c_4874]) ).
tcf(c_8537,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,nil),X0),nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(cons(sK8,nil),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8536,c_92]) ).
tcf(c_8554,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK6,sK6)),X0),sK6)
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ~ ssList(app(app(sK7,app(sK6,sK6)),X0)) ),
inference(light_normalisation,[status(thm)],[c_8429,c_6168]) ).
tcf(c_8555,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK6,sK6)),X0),sK6)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ~ ssList(app(app(sK7,app(sK6,sK6)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8554,c_65]) ).
tcf(c_8560,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK6,sK7)),X0),sK7)
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ~ ssList(app(app(sK7,app(sK6,sK7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_8428,c_6167]) ).
tcf(c_8561,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK6,sK7)),X0),sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK6))
| ~ ssList(app(app(sK7,app(sK6,sK7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8560,c_64]) ).
tcf(c_8566,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK7,sK6)),X0),sK6)
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ~ ssList(app(app(sK7,app(sK7,sK6)),X0)) ),
inference(light_normalisation,[status(thm)],[c_8427,c_5853]) ).
tcf(c_8567,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK7,sK6)),X0),sK6)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ~ ssList(app(app(sK7,app(sK7,sK6)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8566,c_65]) ).
tcf(c_8572,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK7,sK7)),X0),sK7)
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ~ ssList(app(app(sK7,app(sK7,sK7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_8426,c_5852]) ).
tcf(c_8573,plain,
! [X0: $i] :
( segmentP(app(app(sK7,app(sK7,sK7)),X0),sK7)
| ~ ssList(X0)
| ~ ssList(app(sK7,sK7))
| ~ ssList(app(app(sK7,app(sK7,sK7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8572,c_64]) ).
tcf(c_8588,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK6),X0),cons(sK8,sK6))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK6))
| ~ ssList(app(cons(sK8,sK6),X0)) ),
inference(light_normalisation,[status(thm)],[c_8418,c_5236]) ).
tcf(c_8589,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK6),X0),cons(sK8,sK6))
| ~ ssList(X0)
| ~ ssList(app(cons(sK8,sK6),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8588,c_92,c_4951]) ).
tcf(c_8593,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK7),X0),cons(sK8,sK7))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(sK8,sK7))
| ~ ssList(app(cons(sK8,sK7),X0)) ),
inference(light_normalisation,[status(thm)],[c_8416,c_5222]) ).
tcf(c_8594,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK7),X0),cons(sK8,sK7))
| ~ ssList(X0)
| ~ ssList(app(cons(sK8,sK7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8593,c_92,c_4932]) ).
fof(f148,definition,
! [X2,X3] :
( ~ sP0(X2,X3)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ! [X8] :
( ~ lt(X8,X4)
| ~ memberP(X6,X8)
| ~ ssItem(X8) )
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X5,X7)
| ~ ssItem(X7) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f149,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ( ( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& ( ( nil = X2
& nil = X3 )
| sP0(X2,X3) )
& X0 = X2
& X1 = X3
& ssList(X3) ) ) ) ),
inference(definition_folding,[],[f98,f148]) ).
fof(f150,plain,
! [X2,X3] :
( ~ sP0(X2,X3)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ! [X8] :
( ~ lt(X8,X4)
| ~ memberP(X6,X8)
| ~ ssItem(X8) )
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X5,X7)
| ~ ssItem(X7) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) ) ) ) ),
inference(nnf_transformation,[],[f148]) ).
fof(f151,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ? [X2] :
( ssItem(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ! [X6] :
( ~ lt(X6,X2)
| ~ memberP(X4,X6)
| ~ ssItem(X6) )
& ! [X5] :
( ~ lt(X2,X5)
| ~ memberP(X3,X5)
| ~ ssItem(X5) )
& app(app(X3,X0),X4) = X1
& cons(X2,nil) = X0
& ssList(X4) ) ) ) ),
inference(rectify,[],[f150]) ).
fof(f152,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ( ssItem(sK1(X0,X1))
& ssList(sK2(X0,X1))
& ! [X6] :
( ~ lt(X6,sK1(X0,X1))
| ~ memberP(sK3(X0,X1),X6)
| ~ ssItem(X6) )
& ! [X5] :
( ~ lt(sK1(X0,X1),X5)
| ~ memberP(sK2(X0,X1),X5)
| ~ ssItem(X5) )
& app(app(sK2(X0,X1),X0),sK3(X0,X1)) = X1
& cons(sK1(X0,X1),nil) = X0
& ssList(sK3(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1)),skolemize(X4,sK3(X0,X1))],[f151]) ).
fof(f173,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ssItem(sK1(X0,X1)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f174,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ssList(sK2(X0,X1)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f175,plain,
! [X0,X1,X6] :
( ~ sP0(X0,X1)
| ~ lt(X6,sK1(X0,X1))
| ~ memberP(sK3(X0,X1),X6)
| ~ ssItem(X6) ),
inference(cnf_transformation,[],[f152]) ).
fof(f176,plain,
! [X0,X1,X5] :
( ~ sP0(X0,X1)
| ~ lt(sK1(X0,X1),X5)
| ~ memberP(sK2(X0,X1),X5)
| ~ ssItem(X5) ),
inference(cnf_transformation,[],[f152]) ).
fof(f177,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| app(app(sK2(X0,X1),X0),sK3(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f178,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| cons(sK1(X0,X1),nil) = X0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f179,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ssList(sK3(X0,X1)) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ssList(sK3(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( ( cons(sK1(X0,X1),nil) = X0 )
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK2(X0,X1),X0),sK3(X0,X1)) = X1 )
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X2)
| ~ sP0(X0,X1)
| ~ lt(sK1(X0,X1),X2)
| ~ memberP(sK2(X0,X1),X2) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X2)
| ~ sP0(X0,X1)
| ~ lt(X2,sK1(X0,X1))
| ~ memberP(sK3(X0,X1),X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ssList(sK2(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ssItem(sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_1156,plain,
! [X0: $i,X1: $i] :
( ssItem(sK1(X0,X1))
| ( nil = sK6 )
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_58]) ).
tcf(c_1157,plain,
( ssItem(sK1(sK6,sK7))
| ( nil = sK6 ) ),
inference(unflattening,[status(thm)],[c_1156]) ).
tcf(c_1164,plain,
! [X0: $i,X1: $i] :
( ssItem(sK1(X0,X1))
| ( nil = sK7 )
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_57]) ).
tcf(c_1165,plain,
( ssItem(sK1(sK6,sK7))
| ( nil = sK7 ) ),
inference(unflattening,[status(thm)],[c_1164]) ).
tcf(c_1172,plain,
! [X0: $i,X1: $i] :
( ssList(sK2(X0,X1))
| ( nil = sK6 )
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_58]) ).
tcf(c_1173,plain,
( ssList(sK2(sK6,sK7))
| ( nil = sK6 ) ),
inference(unflattening,[status(thm)],[c_1172]) ).
tcf(c_1180,plain,
! [X0: $i,X1: $i] :
( ssList(sK2(X0,X1))
| ( nil = sK7 )
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_57]) ).
tcf(c_1181,plain,
( ssList(sK2(sK6,sK7))
| ( nil = sK7 ) ),
inference(unflattening,[status(thm)],[c_1180]) ).
tcf(c_1188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK6 )
| ~ ssItem(X2)
| ~ lt(X2,sK1(X0,X1))
| ~ memberP(sK3(X0,X1),X2)
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_58]) ).
tcf(c_1189,plain,
! [X0: $i] :
( ( nil = sK6 )
| ~ ssItem(X0)
| ~ lt(X0,sK1(sK6,sK7))
| ~ memberP(sK3(sK6,sK7),X0) ),
inference(unflattening,[status(thm)],[c_1188]) ).
tcf(c_1203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK7 )
| ~ ssItem(X2)
| ~ lt(X2,sK1(X0,X1))
| ~ memberP(sK3(X0,X1),X2)
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).
tcf(c_1204,plain,
! [X0: $i] :
( ( nil = sK7 )
| ~ ssItem(X0)
| ~ lt(X0,sK1(sK6,sK7))
| ~ memberP(sK3(sK6,sK7),X0) ),
inference(unflattening,[status(thm)],[c_1203]) ).
tcf(c_1218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK6 )
| ~ ssItem(X2)
| ~ lt(sK1(X0,X1),X2)
| ~ memberP(sK2(X0,X1),X2)
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_58]) ).
tcf(c_1219,plain,
! [X0: $i] :
( ( nil = sK6 )
| ~ ssItem(X0)
| ~ lt(sK1(sK6,sK7),X0)
| ~ memberP(sK2(sK6,sK7),X0) ),
inference(unflattening,[status(thm)],[c_1218]) ).
tcf(c_1233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( nil = sK7 )
| ~ ssItem(X2)
| ~ lt(sK1(X0,X1),X2)
| ~ memberP(sK2(X0,X1),X2)
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_57]) ).
tcf(c_1234,plain,
! [X0: $i] :
( ( nil = sK7 )
| ~ ssItem(X0)
| ~ lt(sK1(sK6,sK7),X0)
| ~ memberP(sK2(sK6,sK7),X0) ),
inference(unflattening,[status(thm)],[c_1233]) ).
tcf(c_1248,plain,
! [X0: $i,X1: $i] :
( ( nil = sK6 )
| ( app(app(sK2(X0,X1),X0),sK3(X0,X1)) = X1 )
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_58]) ).
tcf(c_1249,plain,
( ( nil = sK6 )
| ( app(app(sK2(sK6,sK7),sK6),sK3(sK6,sK7)) = sK7 ) ),
inference(unflattening,[status(thm)],[c_1248]) ).
tcf(c_1256,plain,
! [X0: $i,X1: $i] :
( ( nil = sK7 )
| ( app(app(sK2(X0,X1),X0),sK3(X0,X1)) = X1 )
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_57]) ).
tcf(c_1257,plain,
( ( nil = sK7 )
| ( app(app(sK2(sK6,sK7),sK6),sK3(sK6,sK7)) = sK7 ) ),
inference(unflattening,[status(thm)],[c_1256]) ).
tcf(c_1264,plain,
! [X0: $i,X1: $i] :
( ( nil = sK6 )
| ( cons(sK1(X0,X1),nil) = X0 )
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_58]) ).
tcf(c_1265,plain,
( ( nil = sK6 )
| ( cons(sK1(sK6,sK7),nil) = sK6 ) ),
inference(unflattening,[status(thm)],[c_1264]) ).
tcf(c_1272,plain,
! [X0: $i,X1: $i] :
( ( nil = sK7 )
| ( cons(sK1(X0,X1),nil) = X0 )
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_57]) ).
tcf(c_1273,plain,
( ( nil = sK7 )
| ( cons(sK1(sK6,sK7),nil) = sK6 ) ),
inference(unflattening,[status(thm)],[c_1272]) ).
tcf(c_1280,plain,
! [X0: $i,X1: $i] :
( ssList(sK3(X0,X1))
| ( nil = sK6 )
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_58]) ).
tcf(c_1281,plain,
( ssList(sK3(sK6,sK7))
| ( nil = sK6 ) ),
inference(unflattening,[status(thm)],[c_1280]) ).
tcf(c_1288,plain,
! [X0: $i,X1: $i] :
( ssList(sK3(X0,X1))
| ( nil = sK7 )
| ( X1 != sK7 )
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_57]) ).
tcf(c_1289,plain,
( ssList(sK3(sK6,sK7))
| ( nil = sK7 ) ),
inference(unflattening,[status(thm)],[c_1288]) ).
tcf(c_1436,plain,
ssList(sK3(sK6,sK7)),
inference(global_subsumption_just,[status(thm)],[c_1289,c_92,c_1281,c_1289,c_1370]) ).
tcf(c_1438,plain,
ssList(sK3(sK6,sK7)),
inference(global_subsumption_just,[status(thm)],[c_1281,c_1436]) ).
tcf(c_1440,plain,
cons(sK1(sK6,sK7),nil) = sK6,
inference(global_subsumption_just,[status(thm)],[c_1273,c_1265,c_1273,c_1372]) ).
tcf(c_1442,plain,
cons(sK1(sK6,sK7),nil) = sK6,
inference(global_subsumption_just,[status(thm)],[c_1265,c_1440]) ).
tcf(c_1444,plain,
app(app(sK2(sK6,sK7),sK6),sK3(sK6,sK7)) = sK7,
inference(global_subsumption_just,[status(thm)],[c_1257,c_92,c_1249,c_1257,c_1370]) ).
tcf(c_1446,plain,
app(app(sK2(sK6,sK7),sK6),sK3(sK6,sK7)) = sK7,
inference(global_subsumption_just,[status(thm)],[c_1249,c_1444]) ).
tcf(c_1448,plain,
! [X0: $i] :
( ~ memberP(sK2(sK6,sK7),X0)
| ~ lt(sK1(sK6,sK7),X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1234,c_92,c_1219,c_1234,c_1370]) ).
tcf(c_1449,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(sK1(sK6,sK7),X0)
| ~ memberP(sK2(sK6,sK7),X0) ),
inference(renaming,[status(thm)],[c_1448]) ).
tcf(c_1451,plain,
! [X0: $i] :
( ~ memberP(sK2(sK6,sK7),X0)
| ~ lt(sK1(sK6,sK7),X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1219,c_1449]) ).
tcf(c_1452,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(sK1(sK6,sK7),X0)
| ~ memberP(sK2(sK6,sK7),X0) ),
inference(renaming,[status(thm)],[c_1451]) ).
tcf(c_1453,plain,
! [X0: $i] :
( ~ memberP(sK3(sK6,sK7),X0)
| ~ lt(X0,sK1(sK6,sK7))
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1204,c_92,c_1189,c_1204,c_1370]) ).
tcf(c_1454,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(X0,sK1(sK6,sK7))
| ~ memberP(sK3(sK6,sK7),X0) ),
inference(renaming,[status(thm)],[c_1453]) ).
tcf(c_1456,plain,
! [X0: $i] :
( ~ memberP(sK3(sK6,sK7),X0)
| ~ lt(X0,sK1(sK6,sK7))
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1189,c_1454]) ).
tcf(c_1457,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(X0,sK1(sK6,sK7))
| ~ memberP(sK3(sK6,sK7),X0) ),
inference(renaming,[status(thm)],[c_1456]) ).
tcf(c_1458,plain,
ssList(sK2(sK6,sK7)),
inference(global_subsumption_just,[status(thm)],[c_1181,c_92,c_1173,c_1181,c_1370]) ).
tcf(c_1460,plain,
ssList(sK2(sK6,sK7)),
inference(global_subsumption_just,[status(thm)],[c_1173,c_1458]) ).
tcf(c_1462,plain,
ssItem(sK1(sK6,sK7)),
inference(global_subsumption_just,[status(thm)],[c_1165,c_92,c_1157,c_1165,c_1370]) ).
tcf(c_1464,plain,
ssItem(sK1(sK6,sK7)),
inference(global_subsumption_just,[status(thm)],[c_1157,c_1462]) ).
tcf(c_4373,plain,
app(sK2(sK6,sK7),nil) = sK2(sK6,sK7),
inference(superposition,[status(thm)],[c_1460,c_79]) ).
tcf(c_4374,plain,
app(sK3(sK6,sK7),nil) = sK3(sK6,sK7),
inference(superposition,[status(thm)],[c_1438,c_79]) ).
tcf(c_4382,plain,
app(nil,sK2(sK6,sK7)) = sK2(sK6,sK7),
inference(superposition,[status(thm)],[c_1460,c_86]) ).
tcf(c_4383,plain,
app(nil,sK3(sK6,sK7)) = sK3(sK6,sK7),
inference(superposition,[status(thm)],[c_1438,c_86]) ).
tcf(c_4452,plain,
( memberP(sK6,sK1(sK6,sK7))
| ~ ssList(nil)
| ~ ssItem(sK1(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_1442,c_94]) ).
tcf(c_4453,plain,
memberP(sK6,sK1(sK6,sK7)),
inference(forward_subsumption_resolution,[status(thm)],[c_4452,c_92,c_1464]) ).
tcf(c_4469,plain,
( ~ ssList(nil)
| ~ ssItem(sK1(sK6,sK7))
| ( nil != sK6 ) ),
inference(superposition,[status(thm)],[c_1442,c_71]) ).
tcf(c_4470,plain,
nil != sK6,
inference(forward_subsumption_resolution,[status(thm)],[c_4469,c_92,c_1464]) ).
tcf(c_4471,plain,
( ( nil = sK7 )
| ~ segmentP(sK7,sK6) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1406,c_4470]) ).
tcf(c_4593,plain,
( ( sK2(sK6,sK7) = nil )
| ( cons(sK11(sK2(sK6,sK7)),sK10(sK2(sK6,sK7))) = sK2(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_1460,c_74]) ).
tcf(c_4594,plain,
( ( sK3(sK6,sK7) = nil )
| ( cons(sK11(sK3(sK6,sK7)),sK10(sK3(sK6,sK7))) = sK3(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_1438,c_74]) ).
tcf(c_4595,plain,
cons(sK11(sK6),sK10(sK6)) = sK6,
inference(forward_subsumption_resolution,[status(thm)],[c_4584,c_4470]) ).
tcf(c_4653,plain,
( memberP(sK6,sK11(sK6))
| ~ ssItem(sK11(sK6))
| ~ ssList(sK10(sK6)) ),
inference(superposition,[status(thm)],[c_4595,c_94]) ).
tcf(c_4655,plain,
( ~ ssItem(sK11(sK6))
| ~ ssList(sK10(sK6))
| ( sK10(sK6) != sK6 ) ),
inference(superposition,[status(thm)],[c_4595,c_77]) ).
tcf(c_4683,plain,
( memberP(sK2(sK6,sK7),sK11(sK2(sK6,sK7)))
| ( sK2(sK6,sK7) = nil )
| ~ ssItem(sK11(sK2(sK6,sK7)))
| ~ ssList(sK10(sK2(sK6,sK7))) ),
inference(superposition,[status(thm)],[c_4593,c_94]) ).
tcf(c_4685,plain,
( ( sK2(sK6,sK7) = nil )
| ~ ssItem(sK11(sK2(sK6,sK7)))
| ~ ssList(sK10(sK2(sK6,sK7)))
| ( sK10(sK2(sK6,sK7)) != sK2(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4593,c_77]) ).
tcf(c_4699,plain,
( memberP(sK3(sK6,sK7),sK11(sK3(sK6,sK7)))
| ( sK3(sK6,sK7) = nil )
| ~ ssItem(sK11(sK3(sK6,sK7)))
| ~ ssList(sK10(sK3(sK6,sK7))) ),
inference(superposition,[status(thm)],[c_4594,c_94]) ).
tcf(c_4701,plain,
( ( sK3(sK6,sK7) = nil )
| ~ ssItem(sK11(sK3(sK6,sK7)))
| ~ ssList(sK10(sK3(sK6,sK7)))
| ( sK10(sK3(sK6,sK7)) != sK3(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4594,c_77]) ).
tcf(c_4733,plain,
( ( sK2(sK6,sK7) = nil )
| ( app(nil,sK10(sK2(sK6,sK7))) = sK10(sK2(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_1460,c_4390]) ).
tcf(c_4734,plain,
( ( sK3(sK6,sK7) = nil )
| ( app(nil,sK10(sK3(sK6,sK7))) = sK10(sK3(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_1438,c_4390]) ).
tcf(c_4735,plain,
app(nil,sK10(sK6)) = sK10(sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_4724,c_4470]) ).
tcf(c_4786,plain,
! [X0: $i] :
( ( app(cons(sK1(sK6,sK7),nil),X0) = cons(sK1(sK6,sK7),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_1464,c_69]) ).
tcf(c_4791,plain,
! [X0: $i] :
( ( cons(sK1(sK6,sK7),X0) = app(sK6,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_4786,c_1442]) ).
tcf(c_4810,plain,
( ( sK3(sK6,sK7) = nil )
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ( nil != sK7 ) ),
inference(superposition,[status(thm)],[c_1446,c_81]) ).
tcf(c_4819,plain,
( ( sK3(sK6,sK7) = nil )
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ( nil != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4810,c_1438]) ).
tcf(c_4832,plain,
( ( app(sK2(sK6,sK7),sK6) = nil )
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ( nil != sK7 ) ),
inference(superposition,[status(thm)],[c_1446,c_82]) ).
tcf(c_4841,plain,
( ( app(sK2(sK6,sK7),sK6) = nil )
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ( nil != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4832,c_1438]) ).
tcf(c_4880,plain,
app(cons(sK8,nil),sK2(sK6,sK7)) = cons(sK8,sK2(sK6,sK7)),
inference(superposition,[status(thm)],[c_1460,c_4783]) ).
tcf(c_4881,plain,
app(cons(sK8,nil),sK3(sK6,sK7)) = cons(sK8,sK3(sK6,sK7)),
inference(superposition,[status(thm)],[c_1438,c_4783]) ).
tcf(c_4939,plain,
( ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK6) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4934,c_4470,c_65]) ).
tcf(c_4972,plain,
cons(sK1(sK6,sK7),sK7) = app(sK6,sK7),
inference(superposition,[status(thm)],[c_64,c_4791]) ).
tcf(c_4973,plain,
cons(sK1(sK6,sK7),sK6) = app(sK6,sK6),
inference(superposition,[status(thm)],[c_65,c_4791]) ).
tcf(c_4974,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK1(sK6,sK7),sK10(X0)) = app(sK6,sK10(X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_72,c_4791]) ).
tcf(c_4975,plain,
! [X0: $i,X1: $i] :
( ( cons(sK1(sK6,sK7),cons(X1,X0)) = app(sK6,cons(X1,X0)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_78,c_4791]) ).
tcf(c_4976,plain,
cons(sK1(sK6,sK7),nil) = app(sK6,nil),
inference(superposition,[status(thm)],[c_92,c_4791]) ).
tcf(c_4977,plain,
! [X0: $i,X1: $i] :
( ( cons(sK1(sK6,sK7),app(X0,X1)) = app(sK6,app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_87,c_4791]) ).
tcf(c_4978,plain,
! [X0: $i,X1: $i] :
( ( cons(sK1(sK6,sK7),sK12(X0,X1)) = app(sK6,sK12(X0,X1)) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_4791]) ).
tcf(c_4979,plain,
! [X0: $i,X1: $i] :
( ( cons(sK1(sK6,sK7),sK13(X0,X1)) = app(sK6,sK13(X0,X1)) )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_4791]) ).
tcf(c_4980,plain,
! [X0: $i,X1: $i] :
( ( cons(sK1(sK6,sK7),sK14(X0,X1)) = app(sK6,sK14(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_4791]) ).
tcf(c_4981,plain,
! [X0: $i,X1: $i] :
( ( cons(sK1(sK6,sK7),sK15(X0,X1)) = app(sK6,sK15(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(superposition,[status(thm)],[c_113,c_4791]) ).
tcf(c_4982,plain,
cons(sK1(sK6,sK7),sK2(sK6,sK7)) = app(sK6,sK2(sK6,sK7)),
inference(superposition,[status(thm)],[c_1460,c_4791]) ).
tcf(c_4983,plain,
cons(sK1(sK6,sK7),sK3(sK6,sK7)) = app(sK6,sK3(sK6,sK7)),
inference(superposition,[status(thm)],[c_1438,c_4791]) ).
tcf(c_5023,plain,
( memberP(app(sK6,sK7),sK1(sK6,sK7))
| ~ ssList(sK7)
| ~ ssItem(sK1(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4972,c_94]) ).
tcf(c_5024,plain,
( ssList(app(sK6,sK7))
| ~ ssList(sK7)
| ~ ssItem(sK1(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4972,c_78]) ).
tcf(c_5025,plain,
( ~ ssList(sK7)
| ~ ssItem(sK1(sK6,sK7))
| ( app(sK6,sK7) != sK7 ) ),
inference(superposition,[status(thm)],[c_4972,c_77]) ).
tcf(c_5026,plain,
( ~ ssList(sK7)
| ~ ssItem(sK1(sK6,sK7))
| ( app(sK6,sK7) != nil ) ),
inference(superposition,[status(thm)],[c_4972,c_71]) ).
tcf(c_5027,plain,
ssList(app(sK6,sK7)),
inference(forward_subsumption_resolution,[status(thm)],[c_5024,c_64,c_1464]) ).
tcf(c_5028,plain,
app(sK6,sK7) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_5026,c_64,c_1464]) ).
tcf(c_5029,plain,
app(sK6,sK7) != sK7,
inference(forward_subsumption_resolution,[status(thm)],[c_5025,c_64,c_1464]) ).
tcf(c_5030,plain,
memberP(app(sK6,sK7),sK1(sK6,sK7)),
inference(forward_subsumption_resolution,[status(thm)],[c_5023,c_64,c_1464]) ).
tcf(c_5056,plain,
! [X0: $i] :
( memberP(sK6,X0)
| ~ ssItem(X0)
| ~ ssItem(sK11(sK6))
| ~ ssList(sK10(sK6))
| ~ memberP(sK10(sK6),X0) ),
inference(superposition,[status(thm)],[c_4595,c_95]) ).
tcf(c_5057,plain,
! [X0: $i] :
( memberP(sK2(sK6,sK7),X0)
| ( sK2(sK6,sK7) = nil )
| ~ ssItem(X0)
| ~ ssItem(sK11(sK2(sK6,sK7)))
| ~ ssList(sK10(sK2(sK6,sK7)))
| ~ memberP(sK10(sK2(sK6,sK7)),X0) ),
inference(superposition,[status(thm)],[c_4593,c_95]) ).
tcf(c_5058,plain,
! [X0: $i] :
( memberP(sK3(sK6,sK7),X0)
| ( sK3(sK6,sK7) = nil )
| ~ ssItem(X0)
| ~ ssItem(sK11(sK3(sK6,sK7)))
| ~ ssList(sK10(sK3(sK6,sK7)))
| ~ memberP(sK10(sK3(sK6,sK7)),X0) ),
inference(superposition,[status(thm)],[c_4594,c_95]) ).
tcf(c_5059,plain,
! [X0: $i] :
( memberP(app(sK6,sK7),X0)
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssItem(sK1(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4972,c_95]) ).
tcf(c_5065,plain,
! [X0: $i] :
( memberP(app(sK6,sK7),X0)
| ~ ssItem(X0)
| ~ memberP(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5059,c_64,c_1464]) ).
tcf(c_5109,plain,
! [X0: $i] :
( memberP(sK7,X0)
| ~ ssItem(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ~ memberP(app(sK2(sK6,sK7),sK6),X0) ),
inference(superposition,[status(thm)],[c_1446,c_97]) ).
tcf(c_5119,plain,
! [X0: $i] :
( memberP(sK10(sK6),X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(sK10(sK6))
| ~ memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_4735,c_97]) ).
tcf(c_5123,plain,
! [X0: $i] :
( memberP(sK10(sK6),X0)
| ~ ssItem(X0)
| ~ ssList(sK10(sK6))
| ~ memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5119,c_92]) ).
tcf(c_5144,plain,
! [X0: $i] :
( memberP(sK7,X0)
| ~ ssItem(X0)
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ~ memberP(app(sK2(sK6,sK7),sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5109,c_1438]) ).
tcf(c_5166,plain,
! [X0: $i] :
( memberP(sK7,X0)
| ~ ssItem(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ memberP(sK3(sK6,sK7),X0)
| ~ ssList(app(sK2(sK6,sK7),sK6)) ),
inference(superposition,[status(thm)],[c_1446,c_98]) ).
tcf(c_5190,plain,
! [X0: $i] :
( memberP(sK7,X0)
| ~ ssItem(X0)
| ~ memberP(sK3(sK6,sK7),X0)
| ~ ssList(app(sK2(sK6,sK7),sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5166,c_1438]) ).
tcf(c_5218,plain,
cons(sK1(sK6,sK7),cons(sK8,sK7)) = app(sK6,cons(sK8,sK7)),
inference(superposition,[status(thm)],[c_4932,c_4791]) ).
tcf(c_5232,plain,
cons(sK1(sK6,sK7),cons(sK8,sK6)) = app(sK6,cons(sK8,sK6)),
inference(superposition,[status(thm)],[c_4951,c_4791]) ).
tcf(c_5252,plain,
cons(sK1(sK6,sK7),app(sK6,sK7)) = app(sK6,app(sK6,sK7)),
inference(superposition,[status(thm)],[c_5027,c_4791]) ).
tcf(c_5253,plain,
app(cons(sK8,nil),app(sK6,sK7)) = cons(sK8,app(sK6,sK7)),
inference(superposition,[status(thm)],[c_5027,c_4783]) ).
tcf(c_5254,plain,
( ( app(sK6,sK7) = nil )
| ( app(nil,sK10(app(sK6,sK7))) = sK10(app(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_5027,c_4390]) ).
tcf(c_5255,plain,
( ( app(sK6,sK7) = nil )
| ( cons(sK11(app(sK6,sK7)),sK10(app(sK6,sK7))) = app(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_5027,c_74]) ).
tcf(c_5256,plain,
app(nil,app(sK6,sK7)) = app(sK6,sK7),
inference(superposition,[status(thm)],[c_5027,c_86]) ).
tcf(c_5257,plain,
app(app(sK6,sK7),nil) = app(sK6,sK7),
inference(superposition,[status(thm)],[c_5027,c_79]) ).
tcf(c_5266,plain,
( memberP(app(sK6,sK6),sK1(sK6,sK7))
| ~ ssList(sK6)
| ~ ssItem(sK1(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4973,c_94]) ).
tcf(c_5267,plain,
( ssList(app(sK6,sK6))
| ~ ssList(sK6)
| ~ ssItem(sK1(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4973,c_78]) ).
tcf(c_5268,plain,
( ~ ssList(sK6)
| ~ ssItem(sK1(sK6,sK7))
| ( app(sK6,sK6) != sK6 ) ),
inference(superposition,[status(thm)],[c_4973,c_77]) ).
tcf(c_5269,plain,
( ~ ssList(sK6)
| ~ ssItem(sK1(sK6,sK7))
| ( app(sK6,sK6) != nil ) ),
inference(superposition,[status(thm)],[c_4973,c_71]) ).
tcf(c_5270,plain,
! [X0: $i] :
( memberP(app(sK6,sK6),X0)
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ memberP(sK6,X0)
| ~ ssItem(sK1(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4973,c_95]) ).
tcf(c_5271,plain,
ssList(app(sK6,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_5267,c_65,c_1464]) ).
tcf(c_5272,plain,
app(sK6,sK6) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_5269,c_65,c_1464]) ).
tcf(c_5273,plain,
app(sK6,sK6) != sK6,
inference(forward_subsumption_resolution,[status(thm)],[c_5268,c_65,c_1464]) ).
tcf(c_5274,plain,
memberP(app(sK6,sK6),sK1(sK6,sK7)),
inference(forward_subsumption_resolution,[status(thm)],[c_5266,c_65,c_1464]) ).
tcf(c_5275,plain,
! [X0: $i] :
( memberP(app(sK6,sK6),X0)
| ~ ssItem(X0)
| ~ memberP(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5270,c_65,c_1464]) ).
tcf(c_5285,plain,
cons(sK1(sK6,sK7),app(sK6,sK6)) = app(sK6,app(sK6,sK6)),
inference(superposition,[status(thm)],[c_5271,c_4791]) ).
tcf(c_5286,plain,
app(cons(sK8,nil),app(sK6,sK6)) = cons(sK8,app(sK6,sK6)),
inference(superposition,[status(thm)],[c_5271,c_4783]) ).
tcf(c_5287,plain,
( ( app(sK6,sK6) = nil )
| ( app(nil,sK10(app(sK6,sK6))) = sK10(app(sK6,sK6)) ) ),
inference(superposition,[status(thm)],[c_5271,c_4390]) ).
tcf(c_5288,plain,
( ( app(sK6,sK6) = nil )
| ( cons(sK11(app(sK6,sK6)),sK10(app(sK6,sK6))) = app(sK6,sK6) ) ),
inference(superposition,[status(thm)],[c_5271,c_74]) ).
tcf(c_5289,plain,
app(nil,app(sK6,sK6)) = app(sK6,sK6),
inference(superposition,[status(thm)],[c_5271,c_86]) ).
tcf(c_5290,plain,
app(app(sK6,sK6),nil) = app(sK6,sK6),
inference(superposition,[status(thm)],[c_5271,c_79]) ).
tcf(c_5460,plain,
( ( cons(sK8,nil) = nil )
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK2(sK6,sK7)) != nil ) ),
inference(superposition,[status(thm)],[c_4880,c_82]) ).
tcf(c_5461,plain,
( ( sK2(sK6,sK7) = nil )
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK2(sK6,sK7)) != nil ) ),
inference(superposition,[status(thm)],[c_4880,c_81]) ).
tcf(c_5462,plain,
( ssList(cons(sK8,sK2(sK6,sK7)))
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil)) ),
inference(superposition,[status(thm)],[c_4880,c_87]) ).
tcf(c_5463,plain,
! [X0: $i] :
( memberP(cons(sK8,sK2(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,nil),X0) ),
inference(superposition,[status(thm)],[c_4880,c_97]) ).
tcf(c_5464,plain,
! [X0: $i] :
( memberP(cons(sK8,sK2(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil))
| ~ memberP(sK2(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_4880,c_98]) ).
tcf(c_5465,plain,
( ssList(cons(sK8,sK2(sK6,sK7)))
| ~ ssList(cons(sK8,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5462,c_1460]) ).
tcf(c_5468,plain,
( ( sK2(sK6,sK7) = nil )
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK2(sK6,sK7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5461,c_1460]) ).
tcf(c_5472,plain,
( ( cons(sK8,nil) = nil )
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK2(sK6,sK7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5460,c_1460]) ).
tcf(c_5476,plain,
! [X0: $i] :
( memberP(cons(sK8,sK2(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(sK2(sK6,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5464,c_1460]) ).
tcf(c_5481,plain,
! [X0: $i] :
( memberP(cons(sK8,sK2(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5463,c_1460]) ).
tcf(c_5514,plain,
! [X0: $i,X1: $i] :
( ( cons(sK1(sK6,sK7),app(X1,X0)) = app(cons(sK1(sK6,sK7),X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_1464,c_70]) ).
tcf(c_5553,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK2(sK6,sK7),X0),X1) = app(sK2(sK6,sK7),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_1460,c_83]) ).
tcf(c_5554,plain,
! [X0: $i,X1: $i] :
( ( app(app(sK3(sK6,sK7),X0),X1) = app(sK3(sK6,sK7),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_1438,c_83]) ).
tcf(c_5557,plain,
! [X0: $i,X1: $i] :
( ( app(app(app(sK6,sK7),X0),X1) = app(app(sK6,sK7),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_5027,c_83]) ).
tcf(c_5558,plain,
! [X0: $i,X1: $i] :
( ( app(app(app(sK6,sK6),X0),X1) = app(app(sK6,sK6),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_5271,c_83]) ).
tcf(c_5673,plain,
! [X0: $i] :
( memberP(sK3(sK6,sK7),X0)
| memberP(app(sK2(sK6,sK7),sK6),X0)
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(sK2(sK6,sK7),sK6)) ),
inference(superposition,[status(thm)],[c_1446,c_99]) ).
tcf(c_5689,plain,
! [X0: $i] :
( memberP(sK2(sK6,sK7),X0)
| memberP(cons(sK8,nil),X0)
| ~ ssItem(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,sK2(sK6,sK7)),X0) ),
inference(superposition,[status(thm)],[c_4880,c_99]) ).
tcf(c_5708,plain,
! [X0: $i] :
( memberP(sK2(sK6,sK7),X0)
| memberP(cons(sK8,nil),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,sK2(sK6,sK7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5689,c_1460]) ).
tcf(c_5714,plain,
! [X0: $i] :
( memberP(sK3(sK6,sK7),X0)
| memberP(app(sK2(sK6,sK7),sK6),X0)
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssList(app(sK2(sK6,sK7),sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5673,c_1438]) ).
tcf(c_5758,plain,
! [X0: $i] :
( ( app(app(sK7,sK2(sK6,sK7)),X0) = app(sK7,app(sK2(sK6,sK7),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_1460,c_5543]) ).
tcf(c_5759,plain,
! [X0: $i] :
( ( app(app(sK7,sK3(sK6,sK7)),X0) = app(sK7,app(sK3(sK6,sK7),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_1438,c_5543]) ).
tcf(c_5762,plain,
! [X0: $i] :
( ( app(app(sK7,app(sK6,sK7)),X0) = app(sK7,app(app(sK6,sK7),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_5027,c_5543]) ).
tcf(c_5763,plain,
! [X0: $i] :
( ( app(app(sK7,app(sK6,sK6)),X0) = app(sK7,app(app(sK6,sK6),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_5271,c_5543]) ).
tcf(c_5862,plain,
app(app(sK7,sK7),sK2(sK6,sK7)) = app(sK7,app(sK7,sK2(sK6,sK7))),
inference(superposition,[status(thm)],[c_1460,c_5748]) ).
tcf(c_5863,plain,
app(app(sK7,sK7),sK3(sK6,sK7)) = app(sK7,app(sK7,sK3(sK6,sK7))),
inference(superposition,[status(thm)],[c_1438,c_5748]) ).
tcf(c_5866,plain,
app(app(sK7,sK7),app(sK6,sK7)) = app(sK7,app(sK7,app(sK6,sK7))),
inference(superposition,[status(thm)],[c_5027,c_5748]) ).
tcf(c_5867,plain,
app(app(sK7,sK7),app(sK6,sK6)) = app(sK7,app(sK7,app(sK6,sK6))),
inference(superposition,[status(thm)],[c_5271,c_5748]) ).
tcf(c_6016,plain,
( ( cons(sK1(sK6,sK7),app(sK7,app(sK7,sK7))) = app(sK6,app(sK7,app(sK7,sK7))) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_5927,c_4791]) ).
tcf(c_6062,plain,
( ~ ssList(app(sK7,sK7))
| ( app(sK7,app(sK7,sK6)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6055,c_4470,c_65]) ).
tcf(c_6119,plain,
( ( cons(sK1(sK6,sK7),app(sK7,app(sK7,sK6))) = app(sK6,app(sK7,app(sK7,sK6))) )
| ~ ssList(app(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_6059,c_4791]) ).
tcf(c_6177,plain,
app(app(sK7,sK6),sK2(sK6,sK7)) = app(sK7,app(sK6,sK2(sK6,sK7))),
inference(superposition,[status(thm)],[c_1460,c_5749]) ).
tcf(c_6178,plain,
app(app(sK7,sK6),sK3(sK6,sK7)) = app(sK7,app(sK6,sK3(sK6,sK7))),
inference(superposition,[status(thm)],[c_1438,c_5749]) ).
tcf(c_6181,plain,
app(app(sK7,sK6),app(sK6,sK7)) = app(sK7,app(sK6,app(sK6,sK7))),
inference(superposition,[status(thm)],[c_5027,c_5749]) ).
tcf(c_6182,plain,
app(app(sK7,sK6),app(sK6,sK6)) = app(sK7,app(sK6,app(sK6,sK6))),
inference(superposition,[status(thm)],[c_5271,c_5749]) ).
tcf(c_6263,plain,
! [X0: $i] :
( memberP(cons(sK8,nil),X0)
| memberP(sK3(sK6,sK7),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7))
| ~ memberP(cons(sK8,sK3(sK6,sK7)),X0) ),
inference(superposition,[status(thm)],[c_4881,c_99]) ).
tcf(c_6264,plain,
( ( cons(sK8,nil) = nil )
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7))
| ( cons(sK8,sK3(sK6,sK7)) != nil ) ),
inference(superposition,[status(thm)],[c_4881,c_82]) ).
tcf(c_6265,plain,
( ( sK3(sK6,sK7) = nil )
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7))
| ( cons(sK8,sK3(sK6,sK7)) != nil ) ),
inference(superposition,[status(thm)],[c_4881,c_81]) ).
tcf(c_6266,plain,
( ssList(cons(sK8,sK3(sK6,sK7)))
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4881,c_87]) ).
tcf(c_6267,plain,
! [X0: $i] :
( memberP(cons(sK8,sK3(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7))
| ~ memberP(cons(sK8,nil),X0) ),
inference(superposition,[status(thm)],[c_4881,c_97]) ).
tcf(c_6268,plain,
! [X0: $i] :
( memberP(cons(sK8,sK3(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7))
| ~ memberP(sK3(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_4881,c_98]) ).
tcf(c_6269,plain,
( ssList(cons(sK8,sK3(sK6,sK7)))
| ~ ssList(cons(sK8,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6266,c_1438]) ).
tcf(c_6272,plain,
( ( sK3(sK6,sK7) = nil )
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK3(sK6,sK7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6265,c_1438]) ).
tcf(c_6276,plain,
( ( cons(sK8,nil) = nil )
| ~ ssList(cons(sK8,nil))
| ( cons(sK8,sK3(sK6,sK7)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6264,c_1438]) ).
tcf(c_6280,plain,
! [X0: $i] :
( memberP(cons(sK8,sK3(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(sK3(sK6,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6268,c_1438]) ).
tcf(c_6285,plain,
! [X0: $i] :
( memberP(cons(sK8,sK3(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6267,c_1438]) ).
tcf(c_6290,plain,
! [X0: $i] :
( memberP(cons(sK8,nil),X0)
| memberP(sK3(sK6,sK7),X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK8,nil))
| ~ memberP(cons(sK8,sK3(sK6,sK7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6263,c_1438]) ).
tcf(c_6345,plain,
! [X0: $i] :
( ( sK3(sK6,sK7) = X0 )
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ( app(app(sK2(sK6,sK7),sK6),X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_1446,c_84]) ).
tcf(c_6348,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ( app(sK2(sK6,sK7),X0) != sK2(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4373,c_84]) ).
tcf(c_6349,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ( app(sK3(sK6,sK7),X0) != sK3(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4374,c_84]) ).
tcf(c_6352,plain,
! [X0: $i] :
( ( sK2(sK6,sK7) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ( app(nil,X0) != sK2(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4382,c_84]) ).
tcf(c_6353,plain,
! [X0: $i] :
( ( sK3(sK6,sK7) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ( app(nil,X0) != sK3(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4383,c_84]) ).
tcf(c_6355,plain,
! [X0: $i] :
( ( sK10(sK6) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK6))
| ( app(nil,X0) != sK10(sK6) ) ),
inference(superposition,[status(thm)],[c_4735,c_84]) ).
tcf(c_6356,plain,
! [X0: $i] :
( ( sK2(sK6,sK7) = nil )
| ( sK10(sK2(sK6,sK7)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK2(sK6,sK7)))
| ( sK10(sK2(sK6,sK7)) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_4733,c_84]) ).
tcf(c_6357,plain,
! [X0: $i] :
( ( sK3(sK6,sK7) = nil )
| ( sK10(sK3(sK6,sK7)) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK3(sK6,sK7)))
| ( sK10(sK3(sK6,sK7)) != app(nil,X0) ) ),
inference(superposition,[status(thm)],[c_4734,c_84]) ).
tcf(c_6361,plain,
! [X0: $i] :
( ( sK2(sK6,sK7) = X0 )
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil))
| ( app(cons(sK8,nil),X0) != cons(sK8,sK2(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_4880,c_84]) ).
tcf(c_6362,plain,
! [X0: $i] :
( ( sK3(sK6,sK7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7))
| ( app(cons(sK8,nil),X0) != cons(sK8,sK3(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_4881,c_84]) ).
tcf(c_6367,plain,
! [X0: $i] :
( ( app(sK6,sK7) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK7))
| ( app(nil,X0) != app(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_5256,c_84]) ).
tcf(c_6368,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK7))
| ( app(app(sK6,sK7),X0) != app(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_5257,c_84]) ).
tcf(c_6369,plain,
! [X0: $i] :
( ( app(sK6,sK6) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK6))
| ( app(nil,X0) != app(sK6,sK6) ) ),
inference(superposition,[status(thm)],[c_5289,c_84]) ).
tcf(c_6370,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK6))
| ( app(app(sK6,sK6),X0) != app(sK6,sK6) ) ),
inference(superposition,[status(thm)],[c_5290,c_84]) ).
tcf(c_6394,plain,
! [X0: $i] :
( ( sK10(sK6) = X0 )
| ~ ssList(X0)
| ~ ssList(sK10(sK6))
| ( app(nil,X0) != sK10(sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6355,c_92]) ).
tcf(c_6399,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(app(sK6,sK6),X0) != app(sK6,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6370,c_92,c_5271]) ).
tcf(c_6403,plain,
! [X0: $i] :
( ( app(sK6,sK6) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != app(sK6,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6369,c_92,c_5271]) ).
tcf(c_6407,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(app(sK6,sK7),X0) != app(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6368,c_92,c_5027]) ).
tcf(c_6411,plain,
! [X0: $i] :
( ( app(sK6,sK7) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != app(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6367,c_92,c_5027]) ).
tcf(c_6446,plain,
! [X0: $i] :
( ( sK3(sK6,sK7) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != sK3(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6353,c_92,c_1438]) ).
tcf(c_6450,plain,
! [X0: $i] :
( ( sK2(sK6,sK7) = X0 )
| ~ ssList(X0)
| ( app(nil,X0) != sK2(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6352,c_92,c_1460]) ).
tcf(c_6454,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK3(sK6,sK7),X0) != sK3(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6349,c_92,c_1438]) ).
tcf(c_6458,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK2(sK6,sK7),X0) != sK2(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6348,c_92,c_1460]) ).
tcf(c_6478,plain,
! [X0: $i] :
( ( sK3(sK6,sK7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(cons(sK8,nil),X0) != cons(sK8,sK3(sK6,sK7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6362,c_1438]) ).
tcf(c_6483,plain,
! [X0: $i] :
( ( sK2(sK6,sK7) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(cons(sK8,nil),X0) != cons(sK8,sK2(sK6,sK7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6361,c_1460]) ).
tcf(c_6488,plain,
! [X0: $i] :
( ( sK3(sK6,sK7) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ( app(app(sK2(sK6,sK7),sK6),X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6345,c_1438]) ).
tcf(c_6493,plain,
! [X0: $i] :
( ( sK3(sK6,sK7) = nil )
| ( sK10(sK3(sK6,sK7)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK10(sK3(sK6,sK7)))
| ( sK10(sK3(sK6,sK7)) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6357,c_92]) ).
tcf(c_6499,plain,
! [X0: $i] :
( ( sK2(sK6,sK7) = nil )
| ( sK10(sK2(sK6,sK7)) = X0 )
| ~ ssList(X0)
| ~ ssList(sK10(sK2(sK6,sK7)))
| ( sK10(sK2(sK6,sK7)) != app(nil,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6356,c_92]) ).
tcf(c_6688,plain,
! [X0: $i] :
( ( app(sK2(sK6,sK7),sK6) = X0 )
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ( app(X0,sK3(sK6,sK7)) != sK7 ) ),
inference(superposition,[status(thm)],[c_1446,c_85]) ).
tcf(c_6691,plain,
! [X0: $i] :
( ( sK2(sK6,sK7) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ( app(X0,nil) != sK2(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4373,c_85]) ).
tcf(c_6692,plain,
! [X0: $i] :
( ( sK3(sK6,sK7) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ( app(X0,nil) != sK3(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4374,c_85]) ).
tcf(c_6695,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ( app(X0,sK2(sK6,sK7)) != sK2(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4382,c_85]) ).
tcf(c_6696,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ( app(X0,sK3(sK6,sK7)) != sK3(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4383,c_85]) ).
tcf(c_6698,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK6))
| ( app(X0,sK10(sK6)) != sK10(sK6) ) ),
inference(superposition,[status(thm)],[c_4735,c_85]) ).
tcf(c_6699,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK2(sK6,sK7) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK2(sK6,sK7)))
| ( app(X0,sK10(sK2(sK6,sK7))) != sK10(sK2(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_4733,c_85]) ).
tcf(c_6700,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK3(sK6,sK7) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK3(sK6,sK7)))
| ( app(X0,sK10(sK3(sK6,sK7))) != sK10(sK3(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_4734,c_85]) ).
tcf(c_6704,plain,
! [X0: $i] :
( ( cons(sK8,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil))
| ( app(X0,sK2(sK6,sK7)) != cons(sK8,sK2(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_4880,c_85]) ).
tcf(c_6705,plain,
! [X0: $i] :
( ( cons(sK8,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7))
| ( app(X0,sK3(sK6,sK7)) != cons(sK8,sK3(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_4881,c_85]) ).
tcf(c_6710,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK7))
| ( app(X0,app(sK6,sK7)) != app(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_5256,c_85]) ).
tcf(c_6711,plain,
! [X0: $i] :
( ( app(sK6,sK7) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK7))
| ( app(X0,nil) != app(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_5257,c_85]) ).
tcf(c_6712,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK6))
| ( app(X0,app(sK6,sK6)) != app(sK6,sK6) ) ),
inference(superposition,[status(thm)],[c_5289,c_85]) ).
tcf(c_6713,plain,
! [X0: $i] :
( ( app(sK6,sK6) = X0 )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK6))
| ( app(X0,nil) != app(sK6,sK6) ) ),
inference(superposition,[status(thm)],[c_5290,c_85]) ).
tcf(c_6737,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ ssList(sK10(sK6))
| ( app(X0,sK10(sK6)) != sK10(sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6698,c_92]) ).
tcf(c_6742,plain,
! [X0: $i] :
( ( app(sK6,sK6) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != app(sK6,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6713,c_92,c_5271]) ).
tcf(c_6746,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,app(sK6,sK6)) != app(sK6,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6712,c_92,c_5271]) ).
tcf(c_6750,plain,
! [X0: $i] :
( ( app(sK6,sK7) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != app(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6711,c_92,c_5027]) ).
tcf(c_6754,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,app(sK6,sK7)) != app(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6710,c_92,c_5027]) ).
tcf(c_6789,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK3(sK6,sK7)) != sK3(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6696,c_92,c_1438]) ).
tcf(c_6793,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sK2(sK6,sK7)) != sK2(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6695,c_92,c_1460]) ).
tcf(c_6797,plain,
! [X0: $i] :
( ( sK3(sK6,sK7) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != sK3(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6692,c_92,c_1438]) ).
tcf(c_6801,plain,
! [X0: $i] :
( ( sK2(sK6,sK7) = X0 )
| ~ ssList(X0)
| ( app(X0,nil) != sK2(sK6,sK7) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6691,c_92,c_1460]) ).
tcf(c_6821,plain,
! [X0: $i] :
( ( cons(sK8,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(X0,sK3(sK6,sK7)) != cons(sK8,sK3(sK6,sK7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6705,c_1438]) ).
tcf(c_6826,plain,
! [X0: $i] :
( ( cons(sK8,nil) = X0 )
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ( app(X0,sK2(sK6,sK7)) != cons(sK8,sK2(sK6,sK7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6704,c_1460]) ).
tcf(c_6831,plain,
! [X0: $i] :
( ( app(sK2(sK6,sK7),sK6) = X0 )
| ~ ssList(X0)
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ( app(X0,sK3(sK6,sK7)) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6688,c_1438]) ).
tcf(c_6836,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK3(sK6,sK7) = nil )
| ~ ssList(X0)
| ~ ssList(sK10(sK3(sK6,sK7)))
| ( app(X0,sK10(sK3(sK6,sK7))) != sK10(sK3(sK6,sK7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6700,c_92]) ).
tcf(c_6842,plain,
! [X0: $i] :
( ( X0 = nil )
| ( sK2(sK6,sK7) = nil )
| ~ ssList(X0)
| ~ ssList(sK10(sK2(sK6,sK7)))
| ( app(X0,sK10(sK2(sK6,sK7))) != sK10(sK2(sK6,sK7)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6699,c_92]) ).
tcf(c_6958,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sK1(sK6,sK7) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sK6,X0)
| ~ ssItem(sK1(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_1442,c_96]) ).
tcf(c_6960,plain,
! [X0: $i] :
( memberP(sK10(sK6),X0)
| ( sK11(sK6) = X0 )
| ~ ssItem(X0)
| ~ ssItem(sK11(sK6))
| ~ ssList(sK10(sK6))
| ~ memberP(sK6,X0) ),
inference(superposition,[status(thm)],[c_4595,c_96]) ).
tcf(c_6961,plain,
! [X0: $i] :
( memberP(sK10(sK2(sK6,sK7)),X0)
| ( sK2(sK6,sK7) = nil )
| ( sK11(sK2(sK6,sK7)) = X0 )
| ~ ssItem(X0)
| ~ ssItem(sK11(sK2(sK6,sK7)))
| ~ ssList(sK10(sK2(sK6,sK7)))
| ~ memberP(sK2(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_4593,c_96]) ).
tcf(c_6962,plain,
! [X0: $i] :
( memberP(sK10(sK3(sK6,sK7)),X0)
| ( sK3(sK6,sK7) = nil )
| ( sK11(sK3(sK6,sK7)) = X0 )
| ~ ssItem(X0)
| ~ ssItem(sK11(sK3(sK6,sK7)))
| ~ ssList(sK10(sK3(sK6,sK7)))
| ~ memberP(sK3(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_4594,c_96]) ).
tcf(c_6963,plain,
! [X0: $i] :
( memberP(sK7,X0)
| ( sK1(sK6,sK7) = X0 )
| ~ ssList(sK7)
| ~ ssItem(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ memberP(app(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_4972,c_96]) ).
tcf(c_6964,plain,
! [X0: $i] :
( memberP(sK6,X0)
| ( sK1(sK6,sK7) = X0 )
| ~ ssList(sK6)
| ~ ssItem(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ memberP(app(sK6,sK6),X0) ),
inference(superposition,[status(thm)],[c_4973,c_96]) ).
tcf(c_6971,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sK1(sK6,sK7) = X0 )
| ~ ssItem(X0)
| ~ memberP(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6958,c_92,c_1464]) ).
tcf(c_6976,plain,
! [X0: $i] :
( memberP(sK6,X0)
| ( sK1(sK6,sK7) = X0 )
| ~ ssItem(X0)
| ~ memberP(app(sK6,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6964,c_65,c_1464]) ).
tcf(c_6981,plain,
! [X0: $i] :
( memberP(sK7,X0)
| ( sK1(sK6,sK7) = X0 )
| ~ ssItem(X0)
| ~ memberP(app(sK6,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6963,c_64,c_1464]) ).
tcf(c_7049,plain,
( ( app(sK12(sK6,sK1(sK6,sK7)),cons(sK1(sK6,sK7),sK13(sK6,sK1(sK6,sK7)))) = sK6 )
| ~ ssList(sK6)
| ~ ssItem(sK1(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4453,c_103]) ).
tcf(c_7051,plain,
( ( app(sK12(sK6,sK11(sK6)),cons(sK11(sK6),sK13(sK6,sK11(sK6)))) = sK6 )
| ~ ssList(sK6)
| ~ ssItem(sK11(sK6))
| ~ ssList(sK10(sK6)) ),
inference(superposition,[status(thm)],[c_4653,c_103]) ).
tcf(c_7052,plain,
( ( app(sK12(app(sK6,sK7),sK1(sK6,sK7)),cons(sK1(sK6,sK7),sK13(app(sK6,sK7),sK1(sK6,sK7)))) = app(sK6,sK7) )
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(app(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_5030,c_103]) ).
tcf(c_7053,plain,
! [X0: $i] :
( ( app(sK12(app(sK6,sK7),X0),cons(X0,sK13(app(sK6,sK7),X0))) = app(sK6,sK7) )
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssList(app(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_5065,c_103]) ).
tcf(c_7056,plain,
( ( app(sK12(app(sK6,sK6),sK1(sK6,sK7)),cons(sK1(sK6,sK7),sK13(app(sK6,sK6),sK1(sK6,sK7)))) = app(sK6,sK6) )
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(app(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_5274,c_103]) ).
tcf(c_7057,plain,
! [X0: $i] :
( ( app(sK12(app(sK6,sK6),X0),cons(X0,sK13(app(sK6,sK6),X0))) = app(sK6,sK6) )
| ~ ssItem(X0)
| ~ memberP(sK6,X0)
| ~ ssList(app(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_5275,c_103]) ).
tcf(c_7062,plain,
( ( app(sK12(sK6,sK11(sK6)),cons(sK11(sK6),sK13(sK6,sK11(sK6)))) = sK6 )
| ~ ssItem(sK11(sK6))
| ~ ssList(sK10(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7051,c_65]) ).
tcf(c_7066,plain,
app(sK12(sK6,sK1(sK6,sK7)),cons(sK1(sK6,sK7),sK13(sK6,sK1(sK6,sK7)))) = sK6,
inference(forward_subsumption_resolution,[status(thm)],[c_7049,c_65,c_1464]) ).
tcf(c_7071,plain,
! [X0: $i] :
( ( app(sK12(app(sK6,sK6),X0),cons(X0,sK13(app(sK6,sK6),X0))) = app(sK6,sK6) )
| ~ ssItem(X0)
| ~ memberP(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7057,c_5271]) ).
tcf(c_7083,plain,
! [X0: $i] :
( ( app(sK12(app(sK6,sK7),X0),cons(X0,sK13(app(sK6,sK7),X0))) = app(sK6,sK7) )
| ~ ssItem(X0)
| ~ memberP(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7053,c_5027]) ).
tcf(c_7092,plain,
app(sK12(app(sK6,sK6),sK1(sK6,sK7)),cons(sK1(sK6,sK7),sK13(app(sK6,sK6),sK1(sK6,sK7)))) = app(sK6,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_7056,c_1464,c_5271]) ).
tcf(c_7093,plain,
app(sK12(app(sK6,sK7),sK1(sK6,sK7)),cons(sK1(sK6,sK7),sK13(app(sK6,sK7),sK1(sK6,sK7)))) = app(sK6,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_7052,c_1464,c_5027]) ).
tcf(c_7232,plain,
ssList(cons(sK8,sK2(sK6,sK7))),
inference(global_subsumption_just,[status(thm)],[c_5465,c_92,c_66,c_5032,c_5465]) ).
tcf(c_7234,plain,
app(app(sK7,sK6),cons(sK8,sK2(sK6,sK7))) = app(sK7,app(sK6,cons(sK8,sK2(sK6,sK7)))),
inference(superposition,[status(thm)],[c_7232,c_5749]) ).
tcf(c_7235,plain,
app(app(sK7,sK7),cons(sK8,sK2(sK6,sK7))) = app(sK7,app(sK7,cons(sK8,sK2(sK6,sK7)))),
inference(superposition,[status(thm)],[c_7232,c_5748]) ).
tcf(c_7236,plain,
! [X0: $i] :
( ( app(app(sK7,cons(sK8,sK2(sK6,sK7))),X0) = app(sK7,app(cons(sK8,sK2(sK6,sK7)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_7232,c_5543]) ).
tcf(c_7237,plain,
! [X0: $i,X1: $i] :
( ( app(app(cons(sK8,sK2(sK6,sK7)),X0),X1) = app(cons(sK8,sK2(sK6,sK7)),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_7232,c_83]) ).
tcf(c_7238,plain,
cons(sK1(sK6,sK7),cons(sK8,sK2(sK6,sK7))) = app(sK6,cons(sK8,sK2(sK6,sK7))),
inference(superposition,[status(thm)],[c_7232,c_4791]) ).
tcf(c_7239,plain,
app(cons(sK8,nil),cons(sK8,sK2(sK6,sK7))) = cons(sK8,cons(sK8,sK2(sK6,sK7))),
inference(superposition,[status(thm)],[c_7232,c_4783]) ).
tcf(c_7240,plain,
( ( cons(sK8,sK2(sK6,sK7)) = nil )
| ( app(nil,sK10(cons(sK8,sK2(sK6,sK7)))) = sK10(cons(sK8,sK2(sK6,sK7))) ) ),
inference(superposition,[status(thm)],[c_7232,c_4390]) ).
tcf(c_7241,plain,
( ( cons(sK8,sK2(sK6,sK7)) = nil )
| ( cons(sK11(cons(sK8,sK2(sK6,sK7))),sK10(cons(sK8,sK2(sK6,sK7)))) = cons(sK8,sK2(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_7232,c_74]) ).
tcf(c_7242,plain,
app(nil,cons(sK8,sK2(sK6,sK7))) = cons(sK8,sK2(sK6,sK7)),
inference(superposition,[status(thm)],[c_7232,c_86]) ).
tcf(c_7243,plain,
app(cons(sK8,sK2(sK6,sK7)),nil) = cons(sK8,sK2(sK6,sK7)),
inference(superposition,[status(thm)],[c_7232,c_79]) ).
tcf(c_7338,plain,
ssList(cons(sK8,sK3(sK6,sK7))),
inference(global_subsumption_just,[status(thm)],[c_6269,c_92,c_66,c_5032,c_6269]) ).
tcf(c_7340,plain,
app(app(sK7,sK6),cons(sK8,sK3(sK6,sK7))) = app(sK7,app(sK6,cons(sK8,sK3(sK6,sK7)))),
inference(superposition,[status(thm)],[c_7338,c_5749]) ).
tcf(c_7341,plain,
app(app(sK7,sK7),cons(sK8,sK3(sK6,sK7))) = app(sK7,app(sK7,cons(sK8,sK3(sK6,sK7)))),
inference(superposition,[status(thm)],[c_7338,c_5748]) ).
tcf(c_7342,plain,
! [X0: $i] :
( ( app(app(sK7,cons(sK8,sK3(sK6,sK7))),X0) = app(sK7,app(cons(sK8,sK3(sK6,sK7)),X0)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_7338,c_5543]) ).
tcf(c_7343,plain,
! [X0: $i,X1: $i] :
( ( app(app(cons(sK8,sK3(sK6,sK7)),X0),X1) = app(cons(sK8,sK3(sK6,sK7)),app(X0,X1)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_7338,c_83]) ).
tcf(c_7344,plain,
cons(sK1(sK6,sK7),cons(sK8,sK3(sK6,sK7))) = app(sK6,cons(sK8,sK3(sK6,sK7))),
inference(superposition,[status(thm)],[c_7338,c_4791]) ).
tcf(c_7345,plain,
app(cons(sK8,nil),cons(sK8,sK3(sK6,sK7))) = cons(sK8,cons(sK8,sK3(sK6,sK7))),
inference(superposition,[status(thm)],[c_7338,c_4783]) ).
tcf(c_7346,plain,
( ( cons(sK8,sK3(sK6,sK7)) = nil )
| ( app(nil,sK10(cons(sK8,sK3(sK6,sK7)))) = sK10(cons(sK8,sK3(sK6,sK7))) ) ),
inference(superposition,[status(thm)],[c_7338,c_4390]) ).
tcf(c_7347,plain,
( ( cons(sK8,sK3(sK6,sK7)) = nil )
| ( cons(sK11(cons(sK8,sK3(sK6,sK7))),sK10(cons(sK8,sK3(sK6,sK7)))) = cons(sK8,sK3(sK6,sK7)) ) ),
inference(superposition,[status(thm)],[c_7338,c_74]) ).
tcf(c_7348,plain,
app(nil,cons(sK8,sK3(sK6,sK7))) = cons(sK8,sK3(sK6,sK7)),
inference(superposition,[status(thm)],[c_7338,c_86]) ).
tcf(c_7349,plain,
app(cons(sK8,sK3(sK6,sK7)),nil) = cons(sK8,sK3(sK6,sK7)),
inference(superposition,[status(thm)],[c_7338,c_79]) ).
tcf(c_7455,plain,
( ( cons(sK1(sK6,sK7),app(sK7,app(sK6,sK7))) = app(sK6,app(sK7,app(sK6,sK7))) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7377,c_4791]) ).
tcf(c_7501,plain,
( ~ ssList(app(sK7,sK6))
| ( app(sK7,app(sK6,sK6)) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7492,c_4470,c_65]) ).
tcf(c_7559,plain,
( ( cons(sK1(sK6,sK7),app(sK7,app(sK6,sK6))) = app(sK6,app(sK7,app(sK6,sK6))) )
| ~ ssList(app(sK7,sK6)) ),
inference(superposition,[status(thm)],[c_7498,c_4791]) ).
tcf(c_7667,plain,
( memberP(app(sK6,sK2(sK6,sK7)),sK1(sK6,sK7))
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(sK2(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4982,c_94]) ).
tcf(c_7668,plain,
( ssList(app(sK6,sK2(sK6,sK7)))
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(sK2(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4982,c_78]) ).
tcf(c_7669,plain,
! [X0: $i] :
( memberP(sK2(sK6,sK7),X0)
| ( sK1(sK6,sK7) = X0 )
| ~ ssItem(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(sK2(sK6,sK7))
| ~ memberP(app(sK6,sK2(sK6,sK7)),X0) ),
inference(superposition,[status(thm)],[c_4982,c_96]) ).
tcf(c_7670,plain,
( ~ ssItem(sK1(sK6,sK7))
| ~ ssList(sK2(sK6,sK7))
| ( app(sK6,sK2(sK6,sK7)) != sK2(sK6,sK7) ) ),
inference(superposition,[status(thm)],[c_4982,c_77]) ).
tcf(c_7671,plain,
( ~ ssItem(sK1(sK6,sK7))
| ~ ssList(sK2(sK6,sK7))
| ( app(sK6,sK2(sK6,sK7)) != nil ) ),
inference(superposition,[status(thm)],[c_4982,c_71]) ).
tcf(c_7672,plain,
! [X0: $i] :
( memberP(app(sK6,sK2(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(sK2(sK6,sK7))
| ~ memberP(sK2(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_4982,c_95]) ).
tcf(c_7673,plain,
ssList(app(sK6,sK2(sK6,sK7))),
inference(forward_subsumption_resolution,[status(thm)],[c_7668,c_1464,c_1460]) ).
tcf(c_7674,plain,
app(sK6,sK2(sK6,sK7)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_7671,c_1464,c_1460]) ).
tcf(c_7675,plain,
memberP(app(sK6,sK2(sK6,sK7)),sK1(sK6,sK7)),
inference(forward_subsumption_resolution,[status(thm)],[c_7667,c_1464,c_1460]) ).
tcf(c_7676,plain,
app(sK6,sK2(sK6,sK7)) != sK2(sK6,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_7670,c_1464,c_1460]) ).
tcf(c_7677,plain,
! [X0: $i] :
( memberP(app(sK6,sK2(sK6,sK7)),X0)
| ~ ssItem(X0)
| ~ memberP(sK2(sK6,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7672,c_1464,c_1460]) ).
tcf(c_7681,plain,
! [X0: $i] :
( memberP(sK2(sK6,sK7),X0)
| ( sK1(sK6,sK7) = X0 )
| ~ ssItem(X0)
| ~ memberP(app(sK6,sK2(sK6,sK7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7669,c_1464,c_1460]) ).
tcf(c_7761,plain,
! [X0: $i] :
( memberP(app(X0,sK6),sK1(sK6,sK7))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(app(X0,cons(sK1(sK6,sK7),nil))) ),
inference(superposition,[status(thm)],[c_1442,c_100]) ).
tcf(c_7763,plain,
! [X0: $i] :
( memberP(app(X0,sK6),sK11(sK6))
| ~ ssList(X0)
| ~ ssItem(sK11(sK6))
| ~ ssList(sK10(sK6))
| ~ ssList(app(X0,cons(sK11(sK6),sK10(sK6)))) ),
inference(superposition,[status(thm)],[c_4595,c_100]) ).
tcf(c_7764,plain,
! [X0: $i] :
( memberP(app(X0,sK2(sK6,sK7)),sK11(sK2(sK6,sK7)))
| ( sK2(sK6,sK7) = nil )
| ~ ssList(X0)
| ~ ssItem(sK11(sK2(sK6,sK7)))
| ~ ssList(sK10(sK2(sK6,sK7)))
| ~ ssList(app(X0,cons(sK11(sK2(sK6,sK7)),sK10(sK2(sK6,sK7))))) ),
inference(superposition,[status(thm)],[c_4593,c_100]) ).
tcf(c_7765,plain,
! [X0: $i] :
( memberP(app(X0,sK3(sK6,sK7)),sK11(sK3(sK6,sK7)))
| ( sK3(sK6,sK7) = nil )
| ~ ssList(X0)
| ~ ssItem(sK11(sK3(sK6,sK7)))
| ~ ssList(sK10(sK3(sK6,sK7)))
| ~ ssList(app(X0,cons(sK11(sK3(sK6,sK7)),sK10(sK3(sK6,sK7))))) ),
inference(superposition,[status(thm)],[c_4594,c_100]) ).
tcf(c_7766,plain,
! [X0: $i] :
( memberP(app(X0,app(sK6,sK7)),sK1(sK6,sK7))
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(app(X0,cons(sK1(sK6,sK7),sK7))) ),
inference(superposition,[status(thm)],[c_4972,c_100]) ).
tcf(c_7767,plain,
! [X0: $i] :
( memberP(app(X0,app(sK6,sK6)),sK1(sK6,sK7))
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(app(X0,cons(sK1(sK6,sK7),sK6))) ),
inference(superposition,[status(thm)],[c_4973,c_100]) ).
tcf(c_7768,plain,
! [X0: $i] :
( memberP(app(X0,app(sK6,sK2(sK6,sK7))),sK1(sK6,sK7))
| ~ ssList(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(app(X0,cons(sK1(sK6,sK7),sK2(sK6,sK7)))) ),
inference(superposition,[status(thm)],[c_4982,c_100]) ).
tcf(c_7771,plain,
! [X0: $i] :
( memberP(app(X0,sK6),sK11(sK6))
| ~ ssList(X0)
| ~ ssItem(sK11(sK6))
| ~ ssList(sK10(sK6))
| ~ ssList(app(X0,sK6)) ),
inference(light_normalisation,[status(thm)],[c_7763,c_4595]) ).
tcf(c_7777,plain,
! [X0: $i] :
( memberP(app(X0,sK6),sK1(sK6,sK7))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(app(X0,sK6)) ),
inference(light_normalisation,[status(thm)],[c_7761,c_1442]) ).
tcf(c_7778,plain,
! [X0: $i] :
( memberP(app(X0,sK6),sK1(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(app(X0,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7777,c_92,c_1464]) ).
tcf(c_7789,plain,
! [X0: $i] :
( memberP(app(X0,app(sK6,sK6)),sK1(sK6,sK7))
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(app(X0,app(sK6,sK6))) ),
inference(light_normalisation,[status(thm)],[c_7767,c_4973]) ).
tcf(c_7790,plain,
! [X0: $i] :
( memberP(app(X0,app(sK6,sK6)),sK1(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(app(X0,app(sK6,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7789,c_65,c_1464]) ).
tcf(c_7794,plain,
! [X0: $i] :
( memberP(app(X0,app(sK6,sK7)),sK1(sK6,sK7))
| ~ ssList(sK7)
| ~ ssList(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(app(X0,app(sK6,sK7))) ),
inference(light_normalisation,[status(thm)],[c_7766,c_4972]) ).
tcf(c_7795,plain,
! [X0: $i] :
( memberP(app(X0,app(sK6,sK7)),sK1(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(app(X0,app(sK6,sK7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7794,c_64,c_1464]) ).
tcf(c_7805,plain,
! [X0: $i] :
( memberP(app(X0,app(sK6,sK2(sK6,sK7))),sK1(sK6,sK7))
| ~ ssList(X0)
| ~ ssItem(sK1(sK6,sK7))
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(app(X0,app(sK6,sK2(sK6,sK7)))) ),
inference(light_normalisation,[status(thm)],[c_7768,c_4982]) ).
tcf(c_7806,plain,
! [X0: $i] :
( memberP(app(X0,app(sK6,sK2(sK6,sK7))),sK1(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(app(X0,app(sK6,sK2(sK6,sK7)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7805,c_1464,c_1460]) ).
tcf(c_7880,plain,
! [X0: $i] :
( segmentP(sK7,X0)
| ~ ssList(sK6)
| ~ ssList(X0)
| ~ segmentP(sK6,X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(sK3(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_1446,c_107]) ).
tcf(c_7881,plain,
! [X0: $i] :
( segmentP(app(sK6,sK7),X0)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK7,X0) ),
inference(superposition,[status(thm)],[c_5257,c_107]) ).
tcf(c_7882,plain,
! [X0: $i] :
( segmentP(app(sK6,sK6),X0)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(superposition,[status(thm)],[c_5290,c_107]) ).
tcf(c_7890,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK7,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ segmentP(sK3(sK6,sK7),X0)
| ~ ssList(app(sK2(sK6,sK7),sK6)) ),
inference(superposition,[status(thm)],[c_1446,c_107]) ).
tcf(c_7893,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK2(sK6,sK7),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK2(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4373,c_107]) ).
tcf(c_7894,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK3(sK6,sK7),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK3(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_4374,c_107]) ).
tcf(c_7897,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK2(sK6,sK7),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ segmentP(sK2(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_4382,c_107]) ).
tcf(c_7898,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK3(sK6,sK7),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ segmentP(sK3(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_4383,c_107]) ).
tcf(c_7900,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK10(sK6),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK10(sK6))
| ~ segmentP(sK10(sK6),X0) ),
inference(superposition,[status(thm)],[c_4735,c_107]) ).
tcf(c_7901,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK10(sK2(sK6,sK7)),X1),X0)
| ( sK2(sK6,sK7) = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK10(sK2(sK6,sK7)))
| ~ segmentP(sK10(sK2(sK6,sK7)),X0) ),
inference(superposition,[status(thm)],[c_4733,c_107]) ).
tcf(c_7902,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK10(sK3(sK6,sK7)),X1),X0)
| ( sK3(sK6,sK7) = nil )
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK10(sK3(sK6,sK7)))
| ~ segmentP(sK10(sK3(sK6,sK7)),X0) ),
inference(superposition,[status(thm)],[c_4734,c_107]) ).
tcf(c_7906,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK2(sK6,sK7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil))
| ~ segmentP(sK2(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_4880,c_107]) ).
tcf(c_7907,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK3(sK6,sK7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7))
| ~ segmentP(sK3(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_4881,c_107]) ).
tcf(c_7912,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK6,sK7),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK7))
| ~ segmentP(app(sK6,sK7),X0) ),
inference(superposition,[status(thm)],[c_5256,c_107]) ).
tcf(c_7913,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK6,sK7),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sK6,sK7)) ),
inference(superposition,[status(thm)],[c_5257,c_107]) ).
tcf(c_7914,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK6,sK6),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK6))
| ~ segmentP(app(sK6,sK6),X0) ),
inference(superposition,[status(thm)],[c_5289,c_107]) ).
tcf(c_7915,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK6,sK6),X1),X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(app(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_5290,c_107]) ).
tcf(c_7938,plain,
! [X0: $i] :
( segmentP(app(sK6,sK6),X0)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7882,c_65,c_92]) ).
tcf(c_7978,plain,
! [X0: $i] :
( segmentP(app(sK6,sK7),X0)
| ~ ssList(X0)
| ~ segmentP(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7881,c_65,c_64,c_92]) ).
tcf(c_7982,plain,
! [X0: $i] :
( segmentP(sK7,X0)
| ~ ssList(X0)
| ~ segmentP(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7880,c_65,c_1460,c_1438]) ).
tcf(c_7986,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK10(sK6),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK10(sK6))
| ~ segmentP(sK10(sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7900,c_92]) ).
tcf(c_8004,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK6,sK6),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7915,c_92,c_5271]) ).
tcf(c_8009,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK6,sK7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7913,c_92,c_5027]) ).
tcf(c_8042,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK3(sK6,sK7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7894,c_92,c_1438]) ).
tcf(c_8047,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK2(sK6,sK7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7893,c_92,c_1460]) ).
tcf(c_8076,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK6,sK6),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(app(sK6,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7914,c_92,c_5271]) ).
tcf(c_8081,plain,
! [X0: $i,X1: $i] :
( segmentP(app(app(sK6,sK7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(app(sK6,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7912,c_92,c_5027]) ).
tcf(c_8096,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK3(sK6,sK7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK3(sK6,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7898,c_92,c_1438]) ).
tcf(c_8101,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK2(sK6,sK7),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK2(sK6,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7897,c_92,c_1460]) ).
tcf(c_8113,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK7,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK3(sK6,sK7),X0)
| ~ ssList(app(sK2(sK6,sK7),sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7890,c_1438]) ).
tcf(c_8119,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK3(sK6,sK7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ segmentP(sK3(sK6,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7907,c_1438]) ).
tcf(c_8125,plain,
! [X0: $i,X1: $i] :
( segmentP(app(cons(sK8,sK2(sK6,sK7)),X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ segmentP(sK2(sK6,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7906,c_1460]) ).
tcf(c_8131,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK10(sK3(sK6,sK7)),X1),X0)
| ( sK3(sK6,sK7) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK10(sK3(sK6,sK7)))
| ~ segmentP(sK10(sK3(sK6,sK7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7902,c_92]) ).
tcf(c_8138,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK10(sK2(sK6,sK7)),X1),X0)
| ( sK2(sK6,sK7) = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK10(sK2(sK6,sK7)))
| ~ segmentP(sK10(sK2(sK6,sK7)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7901,c_92]) ).
tcf(c_8388,plain,
( segmentP(sK7,sK6)
| ~ ssList(sK6)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(app(sK2(sK6,sK7),sK6),sK3(sK6,sK7))) ),
inference(superposition,[status(thm)],[c_1446,c_111]) ).
tcf(c_8389,plain,
( segmentP(app(sK6,sK7),sK7)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(app(app(sK6,sK7),nil)) ),
inference(superposition,[status(thm)],[c_5257,c_111]) ).
tcf(c_8390,plain,
( segmentP(app(sK6,sK6),sK6)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(app(sK6,sK6),nil)) ),
inference(superposition,[status(thm)],[c_5290,c_111]) ).
tcf(c_8398,plain,
! [X0: $i] :
( segmentP(app(sK7,X0),sK3(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(sK2(sK6,sK7),sK6))
| ~ ssList(app(app(app(sK2(sK6,sK7),sK6),sK3(sK6,sK7)),X0)) ),
inference(superposition,[status(thm)],[c_1446,c_111]) ).
tcf(c_8401,plain,
! [X0: $i] :
( segmentP(app(sK2(sK6,sK7),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(app(app(sK2(sK6,sK7),nil),X0)) ),
inference(superposition,[status(thm)],[c_4373,c_111]) ).
tcf(c_8402,plain,
! [X0: $i] :
( segmentP(app(sK3(sK6,sK7),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(app(sK3(sK6,sK7),nil),X0)) ),
inference(superposition,[status(thm)],[c_4374,c_111]) ).
tcf(c_8405,plain,
! [X0: $i] :
( segmentP(app(sK2(sK6,sK7),X0),sK2(sK6,sK7))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(app(app(nil,sK2(sK6,sK7)),X0)) ),
inference(superposition,[status(thm)],[c_4382,c_111]) ).
tcf(c_8406,plain,
! [X0: $i] :
( segmentP(app(sK3(sK6,sK7),X0),sK3(sK6,sK7))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(app(nil,sK3(sK6,sK7)),X0)) ),
inference(superposition,[status(thm)],[c_4383,c_111]) ).
tcf(c_8408,plain,
! [X0: $i] :
( segmentP(app(sK10(sK6),X0),sK10(sK6))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK6))
| ~ ssList(app(app(nil,sK10(sK6)),X0)) ),
inference(superposition,[status(thm)],[c_4735,c_111]) ).
tcf(c_8409,plain,
! [X0: $i] :
( segmentP(app(sK10(sK2(sK6,sK7)),X0),sK10(sK2(sK6,sK7)))
| ( sK2(sK6,sK7) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK2(sK6,sK7)))
| ~ ssList(app(app(nil,sK10(sK2(sK6,sK7))),X0)) ),
inference(superposition,[status(thm)],[c_4733,c_111]) ).
tcf(c_8410,plain,
! [X0: $i] :
( segmentP(app(sK10(sK3(sK6,sK7)),X0),sK10(sK3(sK6,sK7)))
| ( sK3(sK6,sK7) = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK3(sK6,sK7)))
| ~ ssList(app(app(nil,sK10(sK3(sK6,sK7))),X0)) ),
inference(superposition,[status(thm)],[c_4734,c_111]) ).
tcf(c_8414,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK2(sK6,sK7)),X0),sK2(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(app(cons(sK8,nil),sK2(sK6,sK7)),X0)) ),
inference(superposition,[status(thm)],[c_4880,c_111]) ).
tcf(c_8415,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK3(sK6,sK7)),X0),sK3(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(app(cons(sK8,nil),sK3(sK6,sK7)),X0)) ),
inference(superposition,[status(thm)],[c_4881,c_111]) ).
tcf(c_8420,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK7),X0),app(sK6,sK7))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK7))
| ~ ssList(app(app(nil,app(sK6,sK7)),X0)) ),
inference(superposition,[status(thm)],[c_5256,c_111]) ).
tcf(c_8421,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK7),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK7))
| ~ ssList(app(app(app(sK6,sK7),nil),X0)) ),
inference(superposition,[status(thm)],[c_5257,c_111]) ).
tcf(c_8422,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK6),X0),app(sK6,sK6))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK6))
| ~ ssList(app(app(nil,app(sK6,sK6)),X0)) ),
inference(superposition,[status(thm)],[c_5289,c_111]) ).
tcf(c_8423,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK6),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK6))
| ~ ssList(app(app(app(sK6,sK6),nil),X0)) ),
inference(superposition,[status(thm)],[c_5290,c_111]) ).
tcf(c_8446,plain,
( segmentP(app(sK6,sK6),sK6)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(app(sK6,sK6)) ),
inference(light_normalisation,[status(thm)],[c_8390,c_5290]) ).
tcf(c_8447,plain,
segmentP(app(sK6,sK6),sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_8446,c_65,c_92,c_5271]) ).
tcf(c_8484,plain,
( segmentP(app(sK6,sK7),sK7)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(app(sK6,sK7)) ),
inference(light_normalisation,[status(thm)],[c_8389,c_5257]) ).
tcf(c_8485,plain,
segmentP(app(sK6,sK7),sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_8484,c_65,c_64,c_92,c_5027]) ).
tcf(c_8486,plain,
! [X0: $i] :
( segmentP(app(sK10(sK6),X0),sK10(sK6))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK10(sK6))
| ~ ssList(app(sK10(sK6),X0)) ),
inference(light_normalisation,[status(thm)],[c_8408,c_4735]) ).
tcf(c_8487,plain,
! [X0: $i] :
( segmentP(app(sK10(sK6),X0),sK10(sK6))
| ~ ssList(X0)
| ~ ssList(sK10(sK6))
| ~ ssList(app(sK10(sK6),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8486,c_92]) ).
tcf(c_8504,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK6),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK6))
| ~ ssList(app(app(sK6,sK6),X0)) ),
inference(light_normalisation,[status(thm)],[c_8423,c_5290]) ).
tcf(c_8505,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK6),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(app(sK6,sK6),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8504,c_92,c_5271]) ).
tcf(c_8509,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK7),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK7))
| ~ ssList(app(app(sK6,sK7),X0)) ),
inference(light_normalisation,[status(thm)],[c_8421,c_5257]) ).
tcf(c_8510,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK7),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(app(sK6,sK7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8509,c_92,c_5027]) ).
tcf(c_8542,plain,
! [X0: $i] :
( segmentP(app(sK3(sK6,sK7),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(sK3(sK6,sK7),X0)) ),
inference(light_normalisation,[status(thm)],[c_8402,c_4374]) ).
tcf(c_8543,plain,
! [X0: $i] :
( segmentP(app(sK3(sK6,sK7),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK3(sK6,sK7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8542,c_92,c_1438]) ).
tcf(c_8547,plain,
! [X0: $i] :
( segmentP(app(sK2(sK6,sK7),X0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(app(sK2(sK6,sK7),X0)) ),
inference(light_normalisation,[status(thm)],[c_8401,c_4373]) ).
tcf(c_8548,plain,
! [X0: $i] :
( segmentP(app(sK2(sK6,sK7),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(sK2(sK6,sK7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8547,c_92,c_1460]) ).
tcf(c_8552,plain,
( segmentP(sK7,sK6)
| ~ ssList(sK6)
| ~ ssList(sK7)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(sK3(sK6,sK7)) ),
inference(light_normalisation,[status(thm)],[c_8388,c_1446]) ).
tcf(c_8553,plain,
segmentP(sK7,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_8552,c_65,c_64,c_1460,c_1438]) ).
tcf(c_8578,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK6),X0),app(sK6,sK6))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK6))
| ~ ssList(app(app(sK6,sK6),X0)) ),
inference(light_normalisation,[status(thm)],[c_8422,c_5289]) ).
tcf(c_8579,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK6),X0),app(sK6,sK6))
| ~ ssList(X0)
| ~ ssList(app(app(sK6,sK6),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8578,c_92,c_5271]) ).
tcf(c_8583,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK7),X0),app(sK6,sK7))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK6,sK7))
| ~ ssList(app(app(sK6,sK7),X0)) ),
inference(light_normalisation,[status(thm)],[c_8420,c_5256]) ).
tcf(c_8584,plain,
! [X0: $i] :
( segmentP(app(app(sK6,sK7),X0),app(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(app(app(sK6,sK7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8583,c_92,c_5027]) ).
tcf(c_8604,plain,
! [X0: $i] :
( segmentP(app(sK3(sK6,sK7),X0),sK3(sK6,sK7))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(sK3(sK6,sK7),X0)) ),
inference(light_normalisation,[status(thm)],[c_8406,c_4383]) ).
tcf(c_8605,plain,
! [X0: $i] :
( segmentP(app(sK3(sK6,sK7),X0),sK3(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(app(sK3(sK6,sK7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8604,c_92,c_1438]) ).
tcf(c_8609,plain,
! [X0: $i] :
( segmentP(app(sK2(sK6,sK7),X0),sK2(sK6,sK7))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(app(sK2(sK6,sK7),X0)) ),
inference(light_normalisation,[status(thm)],[c_8405,c_4382]) ).
tcf(c_8610,plain,
! [X0: $i] :
( segmentP(app(sK2(sK6,sK7),X0),sK2(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(app(sK2(sK6,sK7),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8609,c_92,c_1460]) ).
tcf(c_8627,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK3(sK6,sK7)),X0),sK3(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(cons(sK8,sK3(sK6,sK7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_8415,c_4881]) ).
tcf(c_8628,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK3(sK6,sK7)),X0),sK3(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(cons(sK8,sK3(sK6,sK7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8627,c_1438]) ).
tcf(c_8633,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK2(sK6,sK7)),X0),sK2(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(sK2(sK6,sK7))
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(cons(sK8,sK2(sK6,sK7)),X0)) ),
inference(light_normalisation,[status(thm)],[c_8414,c_4880]) ).
tcf(c_8634,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK2(sK6,sK7)),X0),sK2(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(cons(sK8,nil))
| ~ ssList(app(cons(sK8,sK2(sK6,sK7)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8633,c_1460]) ).
tcf(c_8639,plain,
! [X0: $i] :
( segmentP(app(sK7,X0),sK3(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(sK3(sK6,sK7))
| ~ ssList(app(sK7,X0))
| ~ ssList(app(sK2(sK6,sK7),sK6)) ),
inference(light_normalisation,[status(thm)],[c_8398,c_1446]) ).
tcf(c_8640,plain,
! [X0: $i] :
( segmentP(app(sK7,X0),sK3(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(app(sK7,X0))
| ~ ssList(app(sK2(sK6,sK7),sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8639,c_1438]) ).
tcf(c_8645,plain,
! [X0: $i] :
( segmentP(app(sK10(sK3(sK6,sK7)),X0),sK10(sK3(sK6,sK7)))
| ( sK3(sK6,sK7) = nil )
| ~ ssList(X0)
| ~ ssList(sK10(sK3(sK6,sK7)))
| ~ ssList(app(app(nil,sK10(sK3(sK6,sK7))),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8410,c_92]) ).
tcf(c_8651,plain,
! [X0: $i] :
( segmentP(app(sK10(sK2(sK6,sK7)),X0),sK10(sK2(sK6,sK7)))
| ( sK2(sK6,sK7) = nil )
| ~ ssList(X0)
| ~ ssList(sK10(sK2(sK6,sK7)))
| ~ ssList(app(app(nil,sK10(sK2(sK6,sK7))),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8409,c_92]) ).
tcf(c_8662,plain,
nil = sK7,
inference(backward_subsumption_resolution,[status(thm)],[c_4471,c_8553]) ).
tcf(c_8663,plain,
cons(sK1(sK6,nil),sK2(sK6,nil)) = app(sK6,sK2(sK6,nil)),
inference(demodulation,[status(thm)],[c_4982,c_8662]) ).
tcf(c_8666,plain,
( ssList(app(nil,app(sK6,sK6)))
| ~ ssList(app(nil,sK6)) ),
inference(demodulation,[status(thm)],[c_7498,c_8662]) ).
tcf(c_8667,plain,
app(app(nil,sK6),sK6) = app(nil,app(sK6,sK6)),
inference(demodulation,[status(thm)],[c_6168,c_8662]) ).
tcf(c_8668,plain,
( ssList(app(nil,app(sK6,nil)))
| ~ ssList(app(nil,sK6)) ),
inference(demodulation,[status(thm)],[c_7377,c_8662]) ).
tcf(c_8669,plain,
app(app(nil,sK6),nil) = app(nil,app(sK6,nil)),
inference(demodulation,[status(thm)],[c_6167,c_8662]) ).
tcf(c_8670,plain,
ssList(cons(sK8,sK3(sK6,nil))),
inference(demodulation,[status(thm)],[c_7338,c_8662]) ).
tcf(c_8671,plain,
ssList(cons(sK8,sK2(sK6,nil))),
inference(demodulation,[status(thm)],[c_7232,c_8662]) ).
tcf(c_8672,plain,
app(app(nil,sK6),nil) = app(nil,sK6),
inference(demodulation,[status(thm)],[c_6185,c_8662]) ).
tcf(c_8673,plain,
app(app(nil,nil),nil) = app(nil,nil),
inference(demodulation,[status(thm)],[c_5868,c_8662]) ).
tcf(c_8674,plain,
app(cons(sK8,nil),sK3(sK6,nil)) = cons(sK8,sK3(sK6,nil)),
inference(demodulation,[status(thm)],[c_4881,c_8662]) ).
tcf(c_8675,plain,
! [X0: $i] :
( ( app(app(nil,sK6),X0) = app(nil,app(sK6,X0)) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_5749,c_8662]) ).
tcf(c_8676,plain,
( ~ ssList(app(nil,nil))
| ( app(nil,app(nil,sK6)) != nil ) ),
inference(demodulation,[status(thm)],[c_6062,c_8662]) ).
tcf(c_8677,plain,
( ssList(app(nil,app(nil,sK6)))
| ~ ssList(app(nil,nil)) ),
inference(demodulation,[status(thm)],[c_6059,c_8662]) ).
tcf(c_8678,plain,
app(app(nil,nil),sK6) = app(nil,app(nil,sK6)),
inference(demodulation,[status(thm)],[c_5853,c_8662]) ).
tcf(c_8679,plain,
( ssList(app(nil,app(nil,nil)))
| ~ ssList(app(nil,nil)) ),
inference(demodulation,[status(thm)],[c_5927,c_8662]) ).
tcf(c_8680,plain,
app(app(nil,nil),nil) = app(nil,app(nil,nil)),
inference(demodulation,[status(thm)],[c_5852,c_8662]) ).
tcf(c_8681,plain,
! [X0: $i] :
( ( app(app(nil,nil),X0) = app(nil,app(nil,X0)) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_5748,c_8662]) ).
tcf(c_8683,plain,
memberP(cons(sK8,nil),sK8),
inference(demodulation,[status(thm)],[c_5442,c_8662]) ).
tcf(c_8684,plain,
app(cons(sK8,nil),sK2(sK6,nil)) = cons(sK8,sK2(sK6,nil)),
inference(demodulation,[status(thm)],[c_4880,c_8662]) ).
tcf(c_8685,plain,
app(app(sK6,nil),nil) = app(sK6,nil),
inference(demodulation,[status(thm)],[c_5257,c_8662]) ).
tcf(c_8686,plain,
app(nil,app(sK6,nil)) = app(sK6,nil),
inference(demodulation,[status(thm)],[c_5256,c_8662]) ).
tcf(c_8690,plain,
app(nil,cons(sK8,nil)) = cons(sK8,nil),
inference(demodulation,[status(thm)],[c_5222,c_8662]) ).
tcf(c_8691,plain,
( ( sK3(sK6,nil) = nil )
| ( app(nil,sK10(sK3(sK6,nil))) = sK10(sK3(sK6,nil)) ) ),
inference(demodulation,[status(thm)],[c_4734,c_8662]) ).
tcf(c_8693,plain,
memberP(app(sK6,sK6),sK1(sK6,nil)),
inference(demodulation,[status(thm)],[c_5274,c_8662]) ).
tcf(c_8694,plain,
cons(sK1(sK6,nil),sK6) = app(sK6,sK6),
inference(demodulation,[status(thm)],[c_4973,c_8662]) ).
tcf(c_8695,plain,
memberP(app(sK6,nil),sK1(sK6,nil)),
inference(demodulation,[status(thm)],[c_5030,c_8662]) ).
tcf(c_8697,plain,
app(sK6,nil) != nil,
inference(demodulation,[status(thm)],[c_5028,c_8662]) ).
tcf(c_8698,plain,
ssList(app(sK6,nil)),
inference(demodulation,[status(thm)],[c_5027,c_8662]) ).
tcf(c_8699,plain,
ssList(cons(sK8,nil)),
inference(demodulation,[status(thm)],[c_4932,c_8662]) ).
tcf(c_8700,plain,
( ( sK2(sK6,nil) = nil )
| ( app(nil,sK10(sK2(sK6,nil))) = sK10(sK2(sK6,nil)) ) ),
inference(demodulation,[status(thm)],[c_4733,c_8662]) ).
tcf(c_8701,plain,
cons(sK1(sK6,nil),nil) = app(sK6,nil),
inference(demodulation,[status(thm)],[c_4972,c_8662]) ).
tcf(c_8702,plain,
! [X0: $i] :
( ( cons(sK1(sK6,nil),X0) = app(sK6,X0) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_4791,c_8662]) ).
tcf(c_8705,plain,
( ( sK3(sK6,nil) = nil )
| ( cons(sK11(sK3(sK6,nil)),sK10(sK3(sK6,nil))) = sK3(sK6,nil) ) ),
inference(demodulation,[status(thm)],[c_4594,c_8662]) ).
tcf(c_8706,plain,
( ( sK2(sK6,nil) = nil )
| ( cons(sK11(sK2(sK6,nil)),sK10(sK2(sK6,nil))) = sK2(sK6,nil) ) ),
inference(demodulation,[status(thm)],[c_4593,c_8662]) ).
tcf(c_8707,plain,
memberP(sK6,sK1(sK6,nil)),
inference(demodulation,[status(thm)],[c_4453,c_8662]) ).
tcf(c_8708,plain,
app(nil,sK3(sK6,nil)) = sK3(sK6,nil),
inference(demodulation,[status(thm)],[c_4383,c_8662]) ).
tcf(c_8709,plain,
app(nil,sK2(sK6,nil)) = sK2(sK6,nil),
inference(demodulation,[status(thm)],[c_4382,c_8662]) ).
tcf(c_8710,plain,
app(sK3(sK6,nil),nil) = sK3(sK6,nil),
inference(demodulation,[status(thm)],[c_4374,c_8662]) ).
tcf(c_8711,plain,
app(sK2(sK6,nil),nil) = sK2(sK6,nil),
inference(demodulation,[status(thm)],[c_4373,c_8662]) ).
tcf(c_8714,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(X0,sK1(sK6,nil))
| ~ memberP(sK3(sK6,nil),X0) ),
inference(demodulation,[status(thm)],[c_1457,c_8662]) ).
tcf(c_8715,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(sK1(sK6,nil),X0)
| ~ memberP(sK2(sK6,nil),X0) ),
inference(demodulation,[status(thm)],[c_1452,c_8662]) ).
tcf(c_8716,plain,
app(app(sK2(sK6,nil),sK6),sK3(sK6,nil)) = nil,
inference(demodulation,[status(thm)],[c_1446,c_8662]) ).
tcf(c_8717,plain,
cons(sK1(sK6,nil),nil) = sK6,
inference(demodulation,[status(thm)],[c_1442,c_8662]) ).
tcf(c_8718,plain,
ssItem(sK1(sK6,nil)),
inference(demodulation,[status(thm)],[c_1464,c_8662]) ).
tcf(c_8719,plain,
ssList(sK2(sK6,nil)),
inference(demodulation,[status(thm)],[c_1460,c_8662]) ).
tcf(c_8720,plain,
ssList(sK3(sK6,nil)),
inference(demodulation,[status(thm)],[c_1438,c_8662]) ).
tcf(c_8737,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK2(sK6,sK7)),X0),sK2(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(app(cons(sK8,sK2(sK6,sK7)),X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8634,c_8699]) ).
tcf(c_8738,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK3(sK6,sK7)),X0),sK3(sK6,sK7))
| ~ ssList(X0)
| ~ ssList(app(cons(sK8,sK3(sK6,sK7)),X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8628,c_8699]) ).
tcf(c_8739,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,nil),X0),nil)
| ~ ssList(X0)
| ~ ssList(app(cons(sK8,nil),X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8537,c_8699]) ).
tcf(c_8740,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK7),X0),sK7)
| ~ ssList(X0)
| ~ ssList(app(cons(sK8,sK7),X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8531,c_8699]) ).
tcf(c_8741,plain,
! [X0: $i] :
( segmentP(app(cons(sK8,sK6),X0),sK6)
| ~ ssList(X0)
| ~ ssList(app(cons(sK8,sK6),X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8525,c_8699]) ).
tcf(c_8757,plain,
cons(sK8,sK6) != nil,
inference(backward_subsumption_resolution,[status(thm)],[c_4939,c_8699]) ).
tcf(c_8765,plain,
! [X0: $i] :
( ( app(nil,app(nil,X0)) = app(nil,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_8681,c_168]) ).
tcf(c_8771,plain,
( ssList(sK6)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_8677,c_168,c_4380]) ).
tcf(c_8772,plain,
( ~ ssList(nil)
| ( nil != sK6 ) ),
inference(light_normalisation,[status(thm)],[c_8676,c_168,c_4380]) ).
tcf(c_8773,plain,
! [X0: $i] :
( ( app(nil,app(sK6,X0)) = app(sK6,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_8675,c_4380]) ).
tcf(c_8781,plain,
( ssList(app(sK6,sK6))
| ~ ssList(sK6) ),
inference(light_normalisation,[status(thm)],[c_8666,c_4380,c_5289]) ).
tcf(c_8848,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_8781,c_8773,c_8772,c_8771,c_8765,c_8757,c_8741,c_8740,c_8739,c_8738,c_8737,c_8720,c_8719,c_8718,c_8717,c_8716,c_8715,c_8714,c_8711,c_8710,c_8709,c_8708,c_8707,c_8706,c_8705,c_8702,c_8701,c_8700,c_8699,c_8698,c_8697,c_8695,c_8694,c_8693,c_8691,c_8690,c_8686,c_8685,c_8684,c_8683,c_8681,c_8680,c_8679,c_8678,c_8677,c_8676,c_8675,c_8674,c_8673,c_8672,c_8671,c_8670,c_8669,c_8668,c_8667,c_8666,c_8663,c_8662,c_8651,c_8645,c_8640,c_8639,c_8633,c_8627,c_8610,c_8609,c_8605,c_8604,c_8594,c_8593,c_8589,c_8588,c_8584,c_8583,c_8579,c_8578,c_8573,c_8572,c_8567,c_8566,c_8561,c_8560,c_8555,c_8554,c_8553,c_8552,c_8548,c_8547,c_8543,c_8542,c_8536,c_8530,c_8524,c_8520,c_8519,c_8515,c_8514,c_8510,c_8509,c_8505,c_8504,c_8499,c_8498,c_8493,c_8492,c_8487,c_8486,c_8485,c_8484,c_8481,c_8480,c_8476,c_8475,c_8471,c_8470,c_8466,c_8465,c_8461,c_8460,c_8457,c_8456,c_8453,c_8452,c_8449,c_8448,c_8447,c_8446,c_8443,c_8442,c_8438,c_8437,c_8434,c_8433,c_8432,c_8431,c_8430,c_8429,c_8428,c_8427,c_8426,c_8425,c_8424,c_8423,c_8422,c_8421,c_8420,c_8419,c_8418,c_8417,c_8416,c_8415,c_8414,c_8413,c_8412,c_8411,c_8410,c_8409,c_8408,c_8407,c_8406,c_8405,c_8404,c_8403,c_8402,c_8401,c_8400,c_8399,c_8398,c_8397,c_8396,c_8395,c_8394,c_8393,c_8392,c_8391,c_8390,c_8389,c_8388,c_8138,c_8131,c_8125,c_8119,c_8113,c_8106,c_8101,c_8096,c_8091,c_8086,c_8081,c_8076,c_8070,c_8064,c_8058,c_8052,c_8047,c_8042,c_8036,c_8030,c_8024,c_8019,c_8014,c_8009,c_8004,c_7998,c_7992,c_7986,c_7982,c_7978,c_7974,c_7969,c_7964,c_7959,c_7954,c_7950,c_7946,c_7942,c_7938,c_7934,c_7929,c_7925,c_7924,c_7923,c_7922,c_7921,c_7920,c_7919,c_7918,c_7917,c_7916,c_7915,c_7914,c_7913,c_7912,c_7911,c_7910,c_7909,c_7908,c_7907,c_7906,c_7905,c_7904,c_7903,c_7902,c_7901,c_7900,c_7899,c_7898,c_7897,c_7896,c_7895,c_7894,c_7893,c_7892,c_7891,c_7890,c_7889,c_7888,c_7887,c_7886,c_7885,c_7884,c_7883,c_7882,c_7881,c_7880,c_7806,c_7805,c_7795,c_7794,c_7790,c_7789,c_7778,c_7777,c_7771,c_7770,c_7769,c_7768,c_7767,c_7766,c_7765,c_7764,c_7763,c_7762,c_7761,c_7740,c_7739,c_7736,c_7735,c_7734,c_7681,c_7677,c_7676,c_7675,c_7674,c_7673,c_7672,c_7671,c_7670,c_7669,c_7668,c_7667,c_7564,c_7563,c_7562,c_7561,c_7560,c_7559,c_7558,c_7557,c_7556,c_7555,c_7525,c_7520,c_7514,c_7509,c_7504,c_7501,c_7498,c_7497,c_7495,c_7493,c_7492,c_7490,c_7494,c_7496,c_7460,c_7459,c_7458,c_7457,c_7456,c_7455,c_7454,c_7453,c_7452,c_7451,c_7409,c_7404,c_7398,c_7393,c_7389,c_7384,c_7380,c_7377,c_7376,c_7374,c_7372,c_7371,c_7370,c_7369,c_7373,c_7375,c_7349,c_7348,c_7347,c_7346,c_7345,c_7344,c_7343,c_7342,c_7341,c_7340,c_7338,c_7243,c_7242,c_7241,c_7240,c_7239,c_7238,c_7237,c_7236,c_7235,c_7234,c_7232,c_7226,c_7221,c_7217,c_7219,c_7205,c_7200,c_7196,c_7198,c_7093,c_7092,c_7087,c_7083,c_7079,c_7075,c_7071,c_7066,c_7062,c_7061,c_7060,c_7059,c_7058,c_7057,c_7056,c_7055,c_7054,c_7053,c_7052,c_7051,c_7050,c_7049,c_7048,c_7047,c_7046,c_7045,c_6981,c_6976,c_6971,c_6964,c_6963,c_6962,c_6961,c_6960,c_6959,c_6958,c_6842,c_6836,c_6831,c_6826,c_6821,c_6816,c_6811,c_6805,c_6801,c_6797,c_6793,c_6789,c_6784,c_6779,c_6774,c_6770,c_6766,c_6762,c_6758,c_6754,c_6750,c_6746,c_6742,c_6737,c_6733,c_6729,c_6725,c_6721,c_6717,c_6715,c_6714,c_6713,c_6712,c_6711,c_6710,c_6709,c_6708,c_6707,c_6706,c_6705,c_6704,c_6703,c_6702,c_6701,c_6700,c_6699,c_6698,c_6697,c_6696,c_6695,c_6694,c_6693,c_6692,c_6691,c_6690,c_6689,c_6688,c_6687,c_6499,c_6493,c_6488,c_6483,c_6478,c_6473,c_6468,c_6462,c_6458,c_6454,c_6450,c_6446,c_6441,c_6436,c_6431,c_6427,c_6423,c_6419,c_6415,c_6411,c_6407,c_6403,c_6399,c_6394,c_6390,c_6386,c_6382,c_6378,c_6374,c_6372,c_6371,c_6370,c_6369,c_6368,c_6367,c_6366,c_6365,c_6364,c_6363,c_6362,c_6361,c_6360,c_6359,c_6358,c_6357,c_6356,c_6355,c_6354,c_6353,c_6352,c_6351,c_6350,c_6349,c_6348,c_6347,c_6346,c_6345,c_6344,c_6290,c_6285,c_6280,c_6276,c_6272,c_6269,c_6268,c_6267,c_6266,c_6265,c_6264,c_6263,c_6185,c_6184,c_6183,c_6182,c_6181,c_6180,c_6179,c_6178,c_6177,c_6176,c_6175,c_6174,c_6173,c_6172,c_6171,c_6170,c_6169,c_6168,c_6167,c_6124,c_6123,c_6122,c_6121,c_6120,c_6119,c_6118,c_6117,c_6116,c_6075,c_6070,c_6065,c_6062,c_6059,c_6058,c_6057,c_6056,c_6055,c_6053,c_6021,c_6020,c_6019,c_6018,c_6017,c_6016,c_6015,c_6014,c_6013,c_5948,c_5943,c_5939,c_5934,c_5930,c_5927,c_5926,c_5925,c_5924,c_5923,c_5922,c_5921,c_5868,c_5867,c_5866,c_5865,c_5864,c_5863,c_5862,c_5861,c_5860,c_5859,c_5858,c_5857,c_5856,c_5855,c_5854,c_5853,c_5852,c_5764,c_5763,c_5762,c_5761,c_5760,c_5759,c_5758,c_5757,c_5756,c_5755,c_5754,c_5753,c_5752,c_5751,c_5750,c_5749,c_5748,c_5714,c_5708,c_5702,c_5696,c_5689,c_5688,c_5687,c_5673,c_5558,c_5557,c_5556,c_5555,c_5554,c_5553,c_5552,c_5551,c_5550,c_5549,c_5548,c_5547,c_5546,c_5545,c_5544,c_5543,c_5514,c_5513,c_5512,c_5511,c_5481,c_5476,c_5472,c_5468,c_5465,c_5464,c_5463,c_5462,c_5461,c_5460,c_5442,c_5440,c_5431,c_5428,c_5426,c_5417,c_5408,c_5399,c_5344,c_5342,c_5290,c_5289,c_5288,c_5287,c_5286,c_5285,c_5275,c_5274,c_5273,c_5272,c_5271,c_5270,c_5269,c_5268,c_5267,c_5266,c_5257,c_5256,c_5255,c_5254,c_5253,c_5252,c_5237,c_5236,c_5235,c_5234,c_5233,c_5232,c_5223,c_5222,c_5221,c_5220,c_5219,c_5218,c_5215,c_5190,c_5185,c_5180,c_5179,c_5178,c_5166,c_5144,c_5138,c_5133,c_5128,c_5123,c_5122,c_5121,c_5119,c_5118,c_5109,c_5065,c_5059,c_5058,c_5057,c_5056,c_5055,c_5030,c_5029,c_5028,c_5027,c_5026,c_5025,c_5024,c_5023,c_4983,c_4982,c_4981,c_4980,c_4979,c_4978,c_4977,c_4976,c_4975,c_4974,c_4973,c_4972,c_4951,c_4950,c_4939,c_4936,c_4935,c_4934,c_4932,c_4931,c_4922,c_4918,c_4915,c_4914,c_4913,c_4912,c_4881,c_4880,c_4879,c_4878,c_4877,c_4876,c_4875,c_4874,c_4873,c_4872,c_4871,c_4870,c_4841,c_4832,c_4819,c_4810,c_4791,c_4786,c_4785,c_4784,c_4783,c_4735,c_4734,c_4733,c_4732,c_4731,c_4730,c_4729,c_4728,c_4726,c_4725,c_4724,c_4723,c_4701,c_4699,c_4685,c_4683,c_4655,c_4653,c_4643,c_4641,c_4595,c_4594,c_4593,c_4592,c_4591,c_4590,c_4589,c_4588,c_4586,c_4585,c_4584,c_4583,c_4558,c_4557,c_4538,c_4537,c_4516,c_4515,c_4498,c_4497,c_4471,c_4470,c_4469,c_4453,c_4452,c_4433,c_4432,c_4412,c_4411,c_4391,c_4390,c_4383,c_4382,c_4380,c_4379,c_4374,c_4373,c_4371,c_4370,c_1464,c_1460,c_1457,c_1452,c_1446,c_1442,c_1438,c_1406,c_1372,c_1347,c_1333,c_168,c_166,c_125,c_124,c_123,c_122,c_121,c_119,c_117,c_120,c_118,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC109+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 16:26:17 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 10.34/2.30 % SZS status Started for theBenchmark.p
% 10.34/2.30 % SZS status Theorem for theBenchmark.p
% 10.34/2.30
% 10.34/2.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.34/2.30
% 10.34/2.30 % ------ iProver source info
% 10.34/2.30
% 10.34/2.30 % git: date: 2026-07-19 20:42:38 +0200
% 10.34/2.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.34/2.30 % git: non_committed_changes: false
% 10.34/2.30
% 10.34/2.30 % ------ Parsing...
% 10.34/2.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.34/2.30
% 10.34/2.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 10.34/2.30
% 10.34/2.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.34/2.30
% 10.34/2.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.34/2.30 % ------ Proving...
% 10.34/2.30 % ------ Problem Properties
% 10.34/2.30
% 10.34/2.30 %
% 10.34/2.30 % clauses 67
% 10.34/2.30 % conjectures 2
% 10.34/2.30 % EPR 26
% 10.34/2.30 % Horn 60
% 10.34/2.30 % unary 13
% 10.34/2.30 % binary 8
% 10.34/2.30 % lits 226
% 10.34/2.30 % lits eq 42
% 10.34/2.30 % fd_pure 0
% 10.34/2.30 % fd_pseudo 0
% 10.34/2.30 % fd_cond 5
% 10.34/2.30 % fd_pseudo_cond 8
% 10.34/2.30 % AC symbols 0
% 10.34/2.30
% 10.34/2.30 % ------ Schedule dynamic 5 is on
% 10.34/2.30
% 10.34/2.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.34/2.30
% 10.34/2.30
% 10.34/2.30 % ------
% 10.34/2.30 % Current options:
% 10.34/2.30 % ------
% 10.34/2.30
% 10.34/2.30
% 10.34/2.30 %
% 10.34/2.30
% 10.34/2.30 % ------ Proving...
% 10.34/2.30 %
% 10.34/2.30
% 10.34/2.30 % SZS status Theorem for theBenchmark.p
% 10.34/2.30
% 10.34/2.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.34/2.32
% 10.34/2.32
%------------------------------------------------------------------------------