%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC297+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 03:09:12 PM UTC 2026
% Result : Theorem 83.19s 18.73s
% Output : CNFRefutation 83.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 28
% Syntax : Number of formulae : 288 ( 79 unt; 4 def)
% Number of atoms : 1202 ( 279 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 1212 ( 515 ~; 522 |; 99 &)
% ( 12 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 337 ( 0 sgn 303 !; 34 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X3,X8)
| cons(X8,nil) != X2 ) ) )
| ( nil = X3
& nil != X2 )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ! [X7] :
( ssItem(X7)
=> ( ( lt(X4,X7)
| ~ memberP(X6,X7) )
& ( lt(X7,X4)
| ~ memberP(X5,X7) ) ) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X3,X8)
| cons(X8,nil) != X2 ) ) )
| ( nil = X3
& nil != X2 )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ! [X7] :
( ssItem(X7)
=> ( ( lt(X4,X7)
| ~ memberP(X6,X7) )
& ( lt(X7,X4)
| ~ memberP(X5,X7) ) ) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,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(f103,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(f118,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) != X0 ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f126,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f146,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(f147,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(f148,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f170,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f171,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f173,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(f174,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,[],[f173]) ).
fof(f194,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X2 = X0 ) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f195,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X2 = X0 ) ) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f197,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ) ) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f200,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| ? [X8] :
( ssItem(X8)
& memberP(X3,X8)
& cons(X8,nil) = X2 ) )
& ( nil != X3
| nil = X2 )
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssItem(X7)
& ( ( ~ lt(X4,X7)
& memberP(X6,X7) )
| ( ~ lt(X7,X4)
& memberP(X5,X7) ) ) )
& app(app(X5,cons(X4,nil)),X6) = X0 ) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| ? [X8] :
( ssItem(X8)
& memberP(X3,X8)
& cons(X8,nil) = X2 ) )
& ( nil != X3
| nil = X2 )
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssItem(X7)
& ( ( ~ lt(X4,X7)
& memberP(X6,X7) )
| ( ~ lt(X7,X4)
& memberP(X5,X7) ) ) )
& app(app(X5,cons(X4,nil)),X6) = X0 ) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f234,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,[],[f99]) ).
fof(f235,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,[],[f234]) ).
fof(f236,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
& ssList(sK9(X0,X1))
& ssList(sK8(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f235]) ).
fof(f246,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,[],[f103]) ).
fof(f247,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,[],[f246]) ).
fof(f248,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0
& ssList(sK14(X0,X1))
& ssList(sK13(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f247]) ).
fof(f273,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ neq(X0,X1)
| X0 != X1 )
& ( X0 = X1
| neq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f277,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,[],[f146]) ).
fof(f278,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,[],[f277]) ).
fof(f279,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,[],[f147]) ).
fof(f280,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,[],[f279]) ).
fof(f292,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,[],[f200]) ).
fof(f293,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,[],[f292]) ).
fof(f296,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ssList(sK56)
& ( ~ neq(sK56,nil)
| ( ssItem(sK61)
& memberP(sK56,sK61)
& sK55 = cons(sK61,nil) ) )
& ( nil != sK56
| nil = sK55 )
& ssItem(sK57)
& ssList(sK58)
& ssList(sK59)
& ssItem(sK60)
& ( ( ~ lt(sK57,sK60)
& memberP(sK59,sK60) )
| ( ~ lt(sK60,sK57)
& memberP(sK58,sK60) ) )
& sK53 = app(app(sK58,cons(sK57,nil)),sK59)
& sK53 = sK55
& sK54 = sK56 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60),skolemize(X8,sK61)],[f222]) ).
fof(f305,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,[],[f236]) ).
fof(f318,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,[],[f248]) ).
fof(f387,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f388,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f390,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f397,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f398,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f401,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f403,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f280]) ).
fof(f419,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f439,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f171]) ).
fof(f440,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f441,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,[],[f174]) ).
fof(f475,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f195]) ).
fof(f476,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f197]) ).
fof(f477,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f479,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X0 ),
inference(cnf_transformation,[],[f293]) ).
fof(f480,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X1 ),
inference(cnf_transformation,[],[f293]) ).
fof(f482,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( ~ neq(sK56,nil)
| ssItem(sK61) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( ~ neq(sK56,nil)
| sK55 = cons(sK61,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
( nil != sK56
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
ssList(sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
ssList(sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
ssItem(sK60),
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
( memberP(sK59,sK60)
| memberP(sK58,sK60) ),
inference(cnf_transformation,[],[f296]) ).
fof(f512,plain,
sK53 = app(app(sK58,cons(sK57,nil)),sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f513,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f514,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f515,plain,
sK55 = app(app(sK58,cons(sK57,nil)),sK59),
inference(definition_unfolding,[],[f512,f513]) ).
fof(f516,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f514]) ).
fof(f517,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f513]) ).
fof(f519,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,[],[f305]) ).
fof(f523,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,[],[f318]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(cnf_transformation,[],[f519]) ).
tcf(c_67,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,[],[f523]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( neq(X0,X1)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f389]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_149,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_155,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_171,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_192,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f440]) ).
tcf(c_193,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,[],[f441]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X2,X1) ) ),
inference(cnf_transformation,[],[f475]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X0,X2) ) ),
inference(cnf_transformation,[],[f476]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X0,nil),X1) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_232,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f482]) ).
tcf(c_246,negated_conjecture,
app(app(sK58,cons(sK57,nil)),sK59) = sK55,
inference(cnf_transformation,[],[f515]) ).
tcf(c_247,negated_conjecture,
( memberP(sK59,sK60)
| memberP(sK58,sK60) ),
inference(cnf_transformation,[],[f511]) ).
tcf(c_251,negated_conjecture,
ssItem(sK60),
inference(cnf_transformation,[],[f507]) ).
tcf(c_252,negated_conjecture,
ssList(sK59),
inference(cnf_transformation,[],[f506]) ).
tcf(c_253,negated_conjecture,
ssList(sK58),
inference(cnf_transformation,[],[f505]) ).
tcf(c_254,negated_conjecture,
ssItem(sK57),
inference(cnf_transformation,[],[f504]) ).
tcf(c_255,negated_conjecture,
( ( nil = sK55 )
| ( nil != sK56 ) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_256,negated_conjecture,
( ( cons(sK61,nil) = sK55 )
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_258,negated_conjecture,
( ssItem(sK61)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_261,negated_conjecture,
ssList(sK56),
inference(cnf_transformation,[],[f516]) ).
tcf(c_262,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f517]) ).
tcf(c_3276,plain,
! [X0: $i,X1: $i] :
( ssItem(sK61)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sK56 ) ),
inference(resolution_lifted,[status(thm)],[c_138,c_258]) ).
tcf(c_3277,plain,
( ssItem(sK61)
| ( sK56 = nil )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3276]) ).
tcf(c_3278,plain,
( ssItem(sK61)
| ( sK56 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_3277,c_261,c_141,c_3277]) ).
tcf(c_3296,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( cons(sK61,nil) = sK55 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sK56 ) ),
inference(resolution_lifted,[status(thm)],[c_138,c_256]) ).
tcf(c_3297,plain,
( ( sK56 = nil )
| ( cons(sK61,nil) = sK55 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3296]) ).
tcf(c_3298,plain,
( ( sK56 = nil )
| ( cons(sK61,nil) = sK55 ) ),
inference(global_subsumption_just,[status(thm)],[c_3297,c_261,c_141,c_3297]) ).
tcf(c_8967,definition,
iPr_def_10 = cons(sK61,nil),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_8968,definition,
iPr_def_11 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_8969,definition,
iPr_def_12 = app(sK58,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_8970,definition,
iPr_def_13 = app(iPr_def_12,sK59),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_8971,plain,
( ( iPr_def_10 = sK55 )
| ( sK56 = nil ) ),
inference(demodulation,[status(thm)],[c_3298,c_8967]) ).
tcf(c_8973,plain,
( ssItem(sK61)
| ( sK56 = nil ) ),
inference(demodulation,[status(thm)],[c_3278]) ).
tcf(c_8974,negated_conjecture,
ssList(sK55),
inference(demodulation,[status(thm)],[c_262]) ).
tcf(c_8976,negated_conjecture,
( ( nil = sK55 )
| ( nil != sK56 ) ),
inference(demodulation,[status(thm)],[c_255]) ).
tcf(c_8977,negated_conjecture,
ssItem(sK57),
inference(demodulation,[status(thm)],[c_254]) ).
tcf(c_8978,negated_conjecture,
ssList(sK58),
inference(demodulation,[status(thm)],[c_253]) ).
tcf(c_8979,negated_conjecture,
ssList(sK59),
inference(demodulation,[status(thm)],[c_252]) ).
tcf(c_8985,negated_conjecture,
iPr_def_13 = sK55,
inference(demodulation,[status(thm)],[c_246,c_8968,c_8969,c_8970]) ).
tcf(c_8986,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_8992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( memberP(X0,X2)
| ~ memberP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_11884,plain,
( ( nil = iPr_def_13 )
| ( nil != sK56 ) ),
inference(light_normalisation,[status(thm)],[c_8976,c_8985]) ).
tcf(c_11899,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( nil = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_8971,c_8985]) ).
tcf(c_11907,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11899,c_11884]) ).
tcf(c_12152,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_8968,c_54]) ).
tcf(c_12162,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_12152,c_8968]) ).
tcf(c_12163,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12162,c_141,c_8977]) ).
tcf(c_12244,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(sK58)
| ~ ssList(app(sK58,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_8969,c_12163]) ).
tcf(c_12245,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(sK58) ),
inference(light_normalisation,[status(thm)],[c_12244,c_8969]) ).
tcf(c_12246,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12245,c_8978]) ).
tcf(c_12772,plain,
( ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8968,c_140]) ).
tcf(c_12781,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12772,c_141,c_8977]) ).
tcf(c_12885,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8969,c_153]) ).
tcf(c_12906,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_12885,c_12781,c_8978]) ).
tcf(c_12933,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_12906,c_232]) ).
tcf(c_13421,plain,
( ~ ssItem(sK60)
| ~ memberP(nil,sK60) ),
inference(instantiation,[status(thm)],[c_171]) ).
tcf(c_13752,plain,
( ~ ssList(nil)
| ~ ssItem(sK57)
| ( nil != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8968,c_142]) ).
tcf(c_13759,plain,
nil != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_13752,c_141,c_8977]) ).
tcf(c_14576,plain,
! [X0: $i,X1: $i] :
( memberP(X0,X1)
| ~ memberP(sK58,sK60)
| ( X1 != sK60 )
| ( X0 != sK58 ) ),
inference(instantiation,[status(thm)],[c_8992]) ).
tcf(c_16089,plain,
ssList(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_8974,c_8985]) ).
tcf(c_16104,plain,
( ( nil = iPr_def_13 )
| ( nil != sK56 ) ),
inference(light_normalisation,[status(thm)],[c_8976,c_8985]) ).
tcf(c_16119,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( nil = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_8971,c_8985]) ).
tcf(c_16127,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( nil = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_16119,c_16104]) ).
tcf(c_16568,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( cons(sK57,iPr_def_13) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16127,c_8968]) ).
tcf(c_16650,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8969,c_230]) ).
tcf(c_16688,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_16650,c_13759,c_12781,c_8978]) ).
tcf(c_16874,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_16568,c_54]) ).
tcf(c_16886,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ( iPr_def_10 = iPr_def_13 )
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,iPr_def_13))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16874,c_16089,c_8977]) ).
tcf(c_17280,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8970,c_231]) ).
tcf(c_17314,plain,
nil != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_17280,c_16688,c_12906,c_8979]) ).
tcf(c_17316,plain,
iPr_def_10 = iPr_def_13,
inference(backward_subsumption_resolution,[status(thm)],[c_11907,c_17314]) ).
tcf(c_17317,plain,
nil != sK56,
inference(backward_subsumption_resolution,[status(thm)],[c_11884,c_17314]) ).
tcf(c_17327,plain,
app(iPr_def_12,sK59) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8970,c_17316]) ).
tcf(c_17820,plain,
iPr_def_10 = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_16886,c_17316]) ).
tcf(c_17822,plain,
app(iPr_def_12,sK59) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8970,c_17820]) ).
tcf(c_17834,plain,
( ( nil = iPr_def_10 )
| ( nil != sK56 ) ),
inference(demodulation,[status(thm)],[c_16104,c_17820]) ).
tcf(c_17869,plain,
nil != sK56,
inference(global_subsumption_just,[status(thm)],[c_17834,c_17317]) ).
tcf(c_19052,plain,
! [X0: $i] :
( memberP(X0,sK60)
| ~ memberP(sK58,sK60)
| ( sK60 != sK60 )
| ( X0 != sK58 ) ),
inference(instantiation,[status(thm)],[c_14576]) ).
tcf(c_19053,plain,
sK60 = sK60,
inference(instantiation,[status(thm)],[c_8986]) ).
tcf(c_19054,plain,
( memberP(nil,sK60)
| ~ memberP(sK58,sK60)
| ( sK60 != sK60 )
| ( nil != sK58 ) ),
inference(instantiation,[status(thm)],[c_19052]) ).
tcf(c_19544,plain,
( ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8968,c_140]) ).
tcf(c_19548,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_19544,c_141,c_8977]) ).
tcf(c_19640,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8969,c_153]) ).
tcf(c_19654,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_19640,c_19548,c_8978]) ).
tcf(c_23998,plain,
( ~ ssList(nil)
| ~ ssItem(sK57)
| ( nil != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8968,c_142]) ).
tcf(c_24003,plain,
nil != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_23998,c_141,c_8977]) ).
tcf(c_24942,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_17327,c_226]) ).
tcf(c_25035,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(iPr_def_12,X0) != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24942,c_12906,c_8979]) ).
tcf(c_31418,plain,
! [X0: $i,X1: $i] :
( memberP(X0,X1)
| ~ memberP(sK59,sK60)
| ( X1 != sK60 )
| ( X0 != sK59 ) ),
inference(instantiation,[status(thm)],[c_8992]) ).
tcf(c_31796,plain,
( ( nil = sK59 )
| ~ ssList(nil)
| ( iPr_def_10 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12933,c_25035]) ).
tcf(c_31798,plain,
( ( nil = sK59 )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31796,c_141]) ).
tcf(c_43449,plain,
! [X0: $i] :
( memberP(X0,sK60)
| ~ memberP(sK59,sK60)
| ( sK60 != sK60 )
| ( X0 != sK59 ) ),
inference(instantiation,[status(thm)],[c_31418]) ).
tcf(c_43450,plain,
( memberP(nil,sK60)
| ~ memberP(sK59,sK60)
| ( sK60 != sK60 )
| ( nil != sK59 ) ),
inference(instantiation,[status(thm)],[c_43449]) ).
tcf(c_43691,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8969,c_230]) ).
tcf(c_43718,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_43691,c_24003,c_19548,c_8978]) ).
tcf(c_47180,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ( nil != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_17822,c_231]) ).
tcf(c_47207,plain,
nil != iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_47180,c_43718,c_19654,c_8979]) ).
tcf(c_100333,plain,
ssList(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_8974,c_8985]) ).
tcf(c_100360,plain,
( ( iPr_def_10 = iPr_def_13 )
| ( nil = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_8971,c_8985]) ).
tcf(c_100361,plain,
iPr_def_10 = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_100360,c_17869]) ).
tcf(c_100363,plain,
ssList(iPr_def_10),
inference(demodulation,[status(thm)],[c_100333,c_100361]) ).
tcf(c_100364,plain,
app(iPr_def_12,sK59) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8970,c_100361]) ).
tcf(c_101077,plain,
( ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8968,c_140]) ).
tcf(c_101082,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_101077,c_141,c_8977]) ).
tcf(c_101280,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8969,c_153]) ).
tcf(c_101295,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_101280,c_101082,c_8978]) ).
tcf(c_101474,plain,
app(nil,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_101295,c_155]) ).
tcf(c_101978,plain,
( ~ ssList(nil)
| ~ ssItem(sK61)
| ( nil != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_8967,c_142]) ).
tcf(c_101979,plain,
( ~ ssItem(sK61)
| ( nil != iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101978,c_141]) ).
tcf(c_102019,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( hd(cons(sK61,X0)) = sK61 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8973,c_150]) ).
tcf(c_102028,plain,
! [X0: $i] :
( ( hd(cons(sK61,X0)) = sK61 )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102019,c_17869]) ).
tcf(c_102613,plain,
nil != iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_101979,c_47207]) ).
tcf(c_106989,plain,
hd(cons(sK61,nil)) = sK61,
inference(superposition,[status(thm)],[c_141,c_102028]) ).
tcf(c_107001,plain,
hd(iPr_def_10) = sK61,
inference(light_normalisation,[status(thm)],[c_106989,c_8967]) ).
tcf(c_130202,plain,
( ssItem(sK61)
| ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_107001,c_149]) ).
tcf(c_130206,plain,
ssItem(sK61),
inference(forward_subsumption_resolution,[status(thm)],[c_130202,c_102613,c_100363]) ).
tcf(c_134713,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_101474,c_193]) ).
tcf(c_134731,plain,
! [X0: $i,X1: $i] :
( segmentP(app(iPr_def_12,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134713,c_101295,c_141]) ).
tcf(c_134822,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_100364,c_134731]) ).
tcf(c_134827,plain,
! [X0: $i] :
( segmentP(iPr_def_10,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134822,c_8979]) ).
tcf(c_135006,plain,
( segmentP(iPr_def_10,iPr_def_12)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_192,c_134827]) ).
tcf(c_135010,plain,
segmentP(iPr_def_10,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_135006,c_101295]) ).
tcf(c_135813,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_10)
| ~ segmentP(iPr_def_12,iPr_def_10) ),
inference(superposition,[status(thm)],[c_135010,c_191]) ).
tcf(c_135814,plain,
( ( iPr_def_10 = iPr_def_12 )
| ~ segmentP(iPr_def_12,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135813,c_101295,c_100363]) ).
tcf(c_137429,plain,
ssList(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_8974,c_8985,c_17316]) ).
tcf(c_137445,plain,
ssItem(sK61),
inference(global_subsumption_just,[status(thm)],[c_8973,c_130206]) ).
tcf(c_137543,plain,
app(iPr_def_12,sK59) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_8970,c_17316]) ).
tcf(c_137554,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_8968,c_54]) ).
tcf(c_137561,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_137554,c_8968]) ).
tcf(c_137562,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_11),sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137561,c_141,c_8977]) ).
tcf(c_137601,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(sK58)
| ~ ssList(app(sK58,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_8969,c_137562]) ).
tcf(c_137602,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12)
| ~ ssList(sK58) ),
inference(light_normalisation,[status(thm)],[c_137601,c_8969]) ).
tcf(c_137603,plain,
( memberP(iPr_def_12,sK57)
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137602,c_8978]) ).
tcf(c_137606,plain,
memberP(iPr_def_12,sK57),
inference(global_subsumption_just,[status(thm)],[c_137603,c_12246,c_12906]) ).
tcf(c_137975,plain,
( ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8968,c_140]) ).
tcf(c_137979,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_137975,c_141,c_8977]) ).
tcf(c_138007,plain,
app(nil,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_137979,c_155]) ).
tcf(c_138038,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_8969,c_153]) ).
tcf(c_138052,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_138038,c_137979,c_8978]) ).
tcf(c_138059,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_138052,c_232]) ).
tcf(c_141091,plain,
! [X0: $i] :
( ( app(cons(sK61,nil),X0) = cons(sK61,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_137445,c_227]) ).
tcf(c_141095,plain,
! [X0: $i] :
( ( cons(sK61,X0) = app(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_141091,c_8967]) ).
tcf(c_142460,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_137543,c_165]) ).
tcf(c_142494,plain,
! [X0: $i] :
( memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142460,c_138052,c_8979]) ).
tcf(c_144310,plain,
( memberP(iPr_def_10,sK57)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_137606,c_142494]) ).
tcf(c_144311,plain,
memberP(iPr_def_10,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_144310,c_8977]) ).
tcf(c_149708,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK61 )
| ~ ssList(nil)
| ~ ssItem(sK61)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8967,c_170]) ).
tcf(c_149720,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sK61 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_149708,c_141,c_137445]) ).
tcf(c_150336,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8969,c_225]) ).
tcf(c_150454,plain,
! [X0: $i] :
( ( X0 = sK58 )
| ~ ssList(X0)
| ( app(X0,iPr_def_11) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_150336,c_137979,c_8978]) ).
tcf(c_151819,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(app(sK58,iPr_def_11),X0)) ),
inference(superposition,[status(thm)],[c_8969,c_67]) ).
tcf(c_151957,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_151819,c_8969]) ).
tcf(c_151958,plain,
! [X0: $i] :
( segmentP(app(iPr_def_12,X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_151957,c_137979,c_8978]) ).
tcf(c_157651,plain,
( segmentP(iPr_def_12,iPr_def_11)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_12,nil)) ),
inference(superposition,[status(thm)],[c_138059,c_151958]) ).
tcf(c_157657,plain,
( segmentP(iPr_def_12,iPr_def_11)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_157651,c_138059]) ).
tcf(c_157658,plain,
segmentP(iPr_def_12,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_157657,c_138052,c_141]) ).
tcf(c_159317,plain,
( ( nil = sK58 )
| ~ ssList(nil)
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_138007,c_150454]) ).
tcf(c_159319,plain,
( ( nil = sK58 )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159317,c_141]) ).
tcf(c_221534,plain,
cons(sK61,sK59) = app(iPr_def_10,sK59),
inference(superposition,[status(thm)],[c_8979,c_141095]) ).
tcf(c_222329,plain,
! [X0: $i] :
( memberP(cons(sK61,sK59),X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_221534,c_165]) ).
tcf(c_222365,plain,
! [X0: $i] :
( memberP(cons(sK61,sK59),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_222329,c_137429,c_8979]) ).
tcf(c_224070,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( X0 = sK61 )
| ~ ssList(sK59)
| ~ ssItem(sK61)
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_222365,c_170]) ).
tcf(c_224071,plain,
! [X0: $i] :
( memberP(sK59,X0)
| ( X0 = sK61 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224070,c_8979,c_137445]) ).
tcf(c_238825,plain,
! [X0: $i] :
( ~ memberP(iPr_def_10,X0)
| ~ ssItem(X0)
| ( X0 = sK61 ) ),
inference(global_subsumption_just,[status(thm)],[c_224071,c_171,c_149720]) ).
tcf(c_238826,plain,
! [X0: $i] :
( ( X0 = sK61 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_10,X0) ),
inference(renaming,[status(thm)],[c_238825]) ).
tcf(c_238836,plain,
( ( sK57 = sK61 )
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_144311,c_238826]) ).
tcf(c_238839,plain,
sK57 = sK61,
inference(forward_subsumption_resolution,[status(thm)],[c_238836,c_8977]) ).
tcf(c_238972,plain,
cons(sK57,nil) = iPr_def_10,
inference(demodulation,[status(thm)],[c_8967,c_238839]) ).
tcf(c_238975,plain,
iPr_def_10 = iPr_def_11,
inference(demodulation,[status(thm)],[c_8968,c_238972]) ).
tcf(c_239082,plain,
( ( nil = sK58 )
| ( iPr_def_10 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_159319,c_238975]) ).
tcf(c_239133,plain,
segmentP(iPr_def_12,iPr_def_10),
inference(demodulation,[status(thm)],[c_157658,c_238975]) ).
tcf(c_239493,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_239082,c_239133,c_135814,c_43450,c_31798,c_19053,c_19054,c_13421,c_247,c_251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC297+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Thu Sep 24 17:26:52 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.48 Running first-order theorem proving
% 0.16/0.48 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.50
% 0.24/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.50
% 0.24/0.50 % Detected problem language: tptp
% 0.24/0.52 % Proving...
% 83.19/18.73 % SZS status Started for theBenchmark.p
% 83.19/18.73 % SZS status Theorem for theBenchmark.p
% 83.19/18.73
% 83.19/18.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 83.19/18.73
% 83.19/18.73 % ------ iProver source info
% 83.19/18.73
% 83.19/18.73 % git: date: 2026-07-19 20:42:38 +0200
% 83.19/18.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 83.19/18.73 % git: non_committed_changes: false
% 83.19/18.73
% 83.19/18.73 % ------ Parsing...
% 83.19/18.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 83.19/18.73
% 83.19/18.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 83.19/18.73
% 83.19/18.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 83.19/18.73
% 83.19/18.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 83.19/18.73 % ------ Proving...
% 83.19/18.73 % ------ Problem Properties
% 83.19/18.73
% 83.19/18.73 %
% 83.19/18.73 % clauses 199
% 83.19/18.73 % conjectures 12
% 83.19/18.73 % EPR 64
% 83.19/18.73 % Horn 127
% 83.19/18.73 % unary 27
% 83.19/18.73 % binary 48
% 83.19/18.73 % lits 645
% 83.19/18.73 % lits eq 89
% 83.19/18.73 % fd_pure 0
% 83.19/18.73 % fd_pseudo 0
% 83.19/18.73 % fd_cond 21
% 83.19/18.73 % fd_pseudo_cond 14
% 83.19/18.73 % AC symbols 0
% 83.19/18.73
% 83.19/18.73 % ------ Schedule dynamic 5 is on
% 83.19/18.73
% 83.19/18.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 83.19/18.73
% 83.19/18.73
% 83.19/18.73 % ------
% 83.19/18.73 % Current options:
% 83.19/18.73 % ------
% 83.19/18.73
% 83.19/18.73
% 83.19/18.73 %
% 83.19/18.73
% 83.19/18.73 % ------ Proving...
% 83.19/18.73 % Proof_search_loop: time out after: 5843 full_loop iterations
% 83.19/18.73
% 83.19/18.73 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 83.19/18.73
% 83.19/18.73
% 83.19/18.73 % ------
% 83.19/18.73 % Current options:
% 83.19/18.73 % ------
% 83.19/18.73
% 83.19/18.73
% 83.19/18.73 %
% 83.19/18.73
% 83.19/18.73 % ------ Proving...
% 83.19/18.73 %
% 83.19/18.73
% 83.19/18.73 % SZS status Theorem for theBenchmark.p
% 83.19/18.73
% 83.19/18.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 83.19/18.74
% 83.19/18.74
%------------------------------------------------------------------------------