%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC285+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 : n019.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 03:09:09 PM UTC 2026
% Result : Theorem 135.11s 31.10s
% Output : CNFRefutation 135.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 28
% Syntax : Number of formulae : 275 ( 64 unt; 3 def)
% Number of atoms : 1150 ( 177 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 1260 ( 538 ~; 540 |; 109 &)
% ( 18 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 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 : 13 ( 11 usr; 4 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 356 ( 0 sgn 316 !; 40 ?; 102 :)
% 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(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
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(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(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax31) ).
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(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
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(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ~ singletonP(X2) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ! [X7] :
( ssItem(X7)
=> ( ( leq(X4,X7)
| ~ memberP(X6,X7) )
& ( leq(X7,X4)
| ~ memberP(X5,X7) ) ) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) ) )
| ~ segmentP(X3,X2)
| 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)
& ~ singletonP(X2) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ! [X7] :
( ssItem(X7)
=> ( ( leq(X4,X7)
| ~ memberP(X6,X7) )
& ( leq(X7,X4)
| ~ memberP(X5,X7) ) ) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) ) )
| ~ segmentP(X3,X2)
| 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(f100,plain,
! [X0] :
( ~ ssList(X0)
| ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f101,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
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(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(f139,plain,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
inference(ennf_transformation,[],[f31]) ).
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(f154,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f155,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ) ),
inference(flattening,[],[f154]) ).
fof(f168,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f169,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ) ),
inference(flattening,[],[f168]) ).
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(f175,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(ennf_transformation,[],[f57]) ).
fof(f176,plain,
! [X0] :
( ~ ssList(X0)
| ( segmentP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f200,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& app(app(X5,cons(X4,nil)),X6) = X0 ) ) )
& segmentP(X3,X2)
& 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)
| singletonP(X2) )
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssItem(X7)
& ( ( ~ leq(X4,X7)
& memberP(X6,X7) )
| ( ~ leq(X7,X4)
& memberP(X5,X7) ) ) )
& app(app(X5,cons(X4,nil)),X6) = X0 ) ) )
& segmentP(X3,X2)
& 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(f237,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f238,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ( cons(sK10(X0),nil) = X0
& ssItem(sK10(X0)) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f238]) ).
fof(f240,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f241,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ? [X3] :
( app(X1,X3) = X0
& ssList(X3) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(rectify,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ( app(X1,sK11(X0,X1)) = X0
& ssList(sK11(X0,X1)) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f241]) ).
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(f285,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ segmentP(nil,X0)
| nil = X0 )
& ( nil != X0
| segmentP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f176]) ).
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)
| singletonP(sK55) )
& ssItem(sK57)
& ssList(sK58)
& ssList(sK59)
& ssItem(sK60)
& ( ( ~ leq(sK57,sK60)
& memberP(sK59,sK60) )
| ( ~ leq(sK60,sK57)
& memberP(sK58,sK60) ) )
& sK53 = app(app(sK58,cons(sK57,nil)),sK59)
& segmentP(sK56,sK55)
& sK53 = sK55
& sK54 = sK56 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60)],[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(f306,plain,
! [X0] :
( ~ ssList(X0)
| ~ singletonP(X0)
| cons(sK10(X0),nil) = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f307,plain,
! [X0] :
( ~ ssList(X0)
| ~ singletonP(X0)
| ssItem(sK10(X0)) ),
inference(cnf_transformation,[],[f239]) ).
fof(f309,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| app(X1,sK11(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f242]) ).
fof(f310,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ssList(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f242]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f242]) ).
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(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(f406,plain,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f278]) ).
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(f424,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f439,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f171]) ).
fof(f442,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[],[f175]) ).
fof(f443,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f285]) ).
fof(f444,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
inference(cnf_transformation,[],[f285]) ).
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(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( ~ neq(sK56,nil)
| singletonP(sK55) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
ssList(sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
ssList(sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
ssItem(sK60),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( ~ leq(sK57,sK60)
| ~ leq(sK60,sK57) ),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
( memberP(sK59,sK60)
| memberP(sK58,sK60) ),
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
sK53 = app(app(sK58,cons(sK57,nil)),sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
segmentP(sK56,sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f512,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f513,plain,
sK55 = app(app(sK58,cons(sK57,nil)),sK59),
inference(definition_unfolding,[],[f509,f511]) ).
fof(f514,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f512]) ).
fof(f515,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f511]) ).
fof(f517,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(f519,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f311]) ).
fof(f521,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]) ).
fof(f535,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f444]) ).
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,[],[f517]) ).
tcf(c_59,plain,
! [X0: $i] :
( ssItem(sK10(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( cons(sK10(X0),nil) = X0 )
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f519]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ssList(sK11(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ( app(X1,sK11(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f309]) ).
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,[],[f521]) ).
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_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_158,plain,
! [X0: $i] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f406]) ).
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_166,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f414]) ).
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_176,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_190,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,[],[f438]) ).
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_194,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_195,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f535]) ).
tcf(c_196,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[],[f443]) ).
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_246,negated_conjecture,
segmentP(sK56,sK55),
inference(cnf_transformation,[],[f510]) ).
tcf(c_247,negated_conjecture,
app(app(sK58,cons(sK57,nil)),sK59) = sK55,
inference(cnf_transformation,[],[f513]) ).
tcf(c_248,negated_conjecture,
( memberP(sK59,sK60)
| memberP(sK58,sK60) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_251,negated_conjecture,
( ~ leq(sK60,sK57)
| ~ leq(sK57,sK60) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_252,negated_conjecture,
ssItem(sK60),
inference(cnf_transformation,[],[f504]) ).
tcf(c_253,negated_conjecture,
ssList(sK59),
inference(cnf_transformation,[],[f503]) ).
tcf(c_254,negated_conjecture,
ssList(sK58),
inference(cnf_transformation,[],[f502]) ).
tcf(c_255,negated_conjecture,
ssItem(sK57),
inference(cnf_transformation,[],[f501]) ).
tcf(c_256,negated_conjecture,
( singletonP(sK55)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_259,negated_conjecture,
ssList(sK56),
inference(cnf_transformation,[],[f514]) ).
tcf(c_260,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f515]) ).
tcf(c_310,plain,
( ( nil = nil )
| ~ ssList(nil)
| ~ segmentP(nil,nil) ),
inference(instantiation,[status(thm)],[c_196]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_153,c_61]) ).
tcf(c_3285,plain,
! [X0: $i,X1: $i] :
( singletonP(sK55)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sK56 ) ),
inference(resolution_lifted,[status(thm)],[c_138,c_256]) ).
tcf(c_3286,plain,
( singletonP(sK55)
| ( sK56 = nil )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_3285]) ).
tcf(c_3287,plain,
( singletonP(sK55)
| ( sK56 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_3286,c_259,c_141,c_3286]) ).
tcf(c_9033,definition,
iPr_def_10 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_9034,definition,
iPr_def_11 = app(sK58,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_9035,definition,
iPr_def_12 = app(iPr_def_11,sK59),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_9036,plain,
( singletonP(sK55)
| ( sK56 = nil ) ),
inference(demodulation,[status(thm)],[c_3287]) ).
tcf(c_9037,negated_conjecture,
ssList(sK55),
inference(demodulation,[status(thm)],[c_260]) ).
tcf(c_9039,negated_conjecture,
ssItem(sK57),
inference(demodulation,[status(thm)],[c_255]) ).
tcf(c_9040,negated_conjecture,
ssList(sK58),
inference(demodulation,[status(thm)],[c_254]) ).
tcf(c_9041,negated_conjecture,
ssList(sK59),
inference(demodulation,[status(thm)],[c_253]) ).
tcf(c_9042,negated_conjecture,
ssItem(sK60),
inference(demodulation,[status(thm)],[c_252]) ).
tcf(c_9043,negated_conjecture,
( ~ leq(sK60,sK57)
| ~ leq(sK57,sK60) ),
inference(demodulation,[status(thm)],[c_251]) ).
tcf(c_9046,negated_conjecture,
( memberP(sK59,sK60)
| memberP(sK58,sK60) ),
inference(demodulation,[status(thm)],[c_248]) ).
tcf(c_9047,negated_conjecture,
iPr_def_12 = sK55,
inference(demodulation,[status(thm)],[c_247,c_9033,c_9034,c_9035]) ).
tcf(c_9048,negated_conjecture,
segmentP(sK56,sK55),
inference(demodulation,[status(thm)],[c_246]) ).
tcf(c_9051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9056,plain,
! [X0: $i,X1: $i] :
( ssList(X0)
| ~ ssList(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9057,plain,
! [X0: $i,X1: $i] :
( singletonP(X0)
| ~ singletonP(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(X0,X2)
| ~ segmentP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_11908,plain,
ssList(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_9037,c_9047]) ).
tcf(c_12051,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_9033,c_54]) ).
tcf(c_12052,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_12051,c_9033]) ).
tcf(c_12053,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12052,c_141,c_9039]) ).
tcf(c_12275,plain,
app(nil,sK58) = sK58,
inference(superposition,[status(thm)],[c_9040,c_155]) ).
tcf(c_12433,plain,
( ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_9033,c_140]) ).
tcf(c_12436,plain,
ssList(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_12433,c_141,c_9039]) ).
tcf(c_12445,plain,
app(nil,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_12436,c_155]) ).
tcf(c_12446,plain,
( memberP(iPr_def_10,sK57)
| ~ ssList(nil)
| ~ ssList(app(nil,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12445,c_12053]) ).
tcf(c_12447,plain,
( memberP(iPr_def_10,sK57)
| ~ ssList(iPr_def_10)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_12446,c_12445]) ).
tcf(c_12448,plain,
memberP(iPr_def_10,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_12447,c_12436,c_141]) ).
tcf(c_12496,plain,
( ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_9034,c_153]) ).
tcf(c_12510,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12496,c_12436,c_9040]) ).
tcf(c_13035,plain,
( frontsegP(iPr_def_11,sK58)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_9034,c_382]) ).
tcf(c_13068,plain,
frontsegP(iPr_def_11,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_13035,c_12436,c_9040]) ).
tcf(c_13126,plain,
( leq(sK60,sK60)
| ~ ssItem(sK60) ),
inference(instantiation,[status(thm)],[c_158]) ).
tcf(c_13143,plain,
( ~ ssList(nil)
| ~ ssItem(sK57)
| ( nil != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_9033,c_142]) ).
tcf(c_13144,plain,
nil != iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_13143,c_141,c_9039]) ).
tcf(c_13662,plain,
! [X0: $i] :
( singletonP(X0)
| ~ singletonP(sK55)
| ( X0 != sK55 ) ),
inference(instantiation,[status(thm)],[c_9057]) ).
tcf(c_16772,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ( nil != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_9034,c_230]) ).
tcf(c_16773,plain,
( ( nil = sK59 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9035,c_230]) ).
tcf(c_16795,plain,
( ( nil = sK59 )
| ( nil != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16773,c_12510,c_9041]) ).
tcf(c_16798,plain,
nil != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_16772,c_13144,c_12436,c_9040]) ).
tcf(c_16813,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9035,c_231]) ).
tcf(c_16835,plain,
( ( nil = iPr_def_11 )
| ( nil != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16813,c_12510,c_9041]) ).
tcf(c_17052,plain,
nil != iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_16795,c_16798,c_16835]) ).
tcf(c_17531,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(superposition,[status(thm)],[c_9034,c_165]) ).
tcf(c_17532,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_9035,c_165]) ).
tcf(c_17567,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17532,c_12510,c_9041]) ).
tcf(c_17571,plain,
! [X0: $i] :
( memberP(iPr_def_11,X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17531,c_12436,c_9040]) ).
tcf(c_17660,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_9035,c_166]) ).
tcf(c_17695,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17660,c_12510,c_9041]) ).
tcf(c_18310,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_9035,c_176]) ).
tcf(c_18376,plain,
! [X0: $i] :
( frontsegP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18310,c_12510,c_9041]) ).
tcf(c_20229,plain,
( singletonP(iPr_def_12)
| ~ singletonP(sK55)
| ( iPr_def_12 != sK55 ) ),
inference(instantiation,[status(thm)],[c_13662]) ).
tcf(c_20345,plain,
( memberP(iPr_def_12,sK60)
| memberP(sK58,sK60)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_9046,c_17695]) ).
tcf(c_20346,plain,
( memberP(iPr_def_12,sK60)
| memberP(sK58,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20345,c_9042]) ).
tcf(c_20905,plain,
( frontsegP(iPr_def_12,sK58)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_13068,c_18376]) ).
tcf(c_20908,plain,
frontsegP(iPr_def_12,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_20905,c_9040]) ).
tcf(c_20911,plain,
( ( app(sK58,sK11(iPr_def_12,sK58)) = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_20908,c_63]) ).
tcf(c_20912,plain,
app(sK58,sK11(iPr_def_12,sK58)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_20911,c_11908,c_9040]) ).
tcf(c_20926,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(sK58)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(superposition,[status(thm)],[c_20912,c_165]) ).
tcf(c_20932,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20926,c_9040]) ).
tcf(c_26664,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK58),X0)) ),
inference(superposition,[status(thm)],[c_12275,c_67]) ).
tcf(c_26781,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(sK58)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(light_normalisation,[status(thm)],[c_26664,c_12275]) ).
tcf(c_26782,plain,
! [X0: $i] :
( segmentP(app(sK58,X0),sK58)
| ~ ssList(X0)
| ~ ssList(app(sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26781,c_9040,c_141]) ).
tcf(c_29250,plain,
( segmentP(iPr_def_12,sK58)
| ~ ssList(sK11(iPr_def_12,sK58))
| ~ ssList(app(sK58,sK11(iPr_def_12,sK58))) ),
inference(superposition,[status(thm)],[c_20912,c_26782]) ).
tcf(c_29258,plain,
( segmentP(iPr_def_12,sK58)
| ~ ssList(iPr_def_12)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(light_normalisation,[status(thm)],[c_29250,c_20912]) ).
tcf(c_29259,plain,
( segmentP(iPr_def_12,sK58)
| ~ ssList(sK11(iPr_def_12,sK58)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29258,c_11908]) ).
tcf(c_30854,plain,
( segmentP(iPr_def_12,sK58)
| ~ ssList(iPr_def_12)
| ~ ssList(sK58)
| ~ frontsegP(iPr_def_12,sK58) ),
inference(superposition,[status(thm)],[c_62,c_29259]) ).
tcf(c_30855,plain,
segmentP(iPr_def_12,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_30854,c_11908,c_9040,c_20908]) ).
tcf(c_30857,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sK58)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(superposition,[status(thm)],[c_30855,c_190]) ).
tcf(c_30864,plain,
! [X0: $i] :
( segmentP(iPr_def_12,X0)
| ~ ssList(X0)
| ~ segmentP(sK58,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30857,c_11908,c_9040]) ).
tcf(c_31075,plain,
( segmentP(iPr_def_12,nil)
| ~ ssList(sK58)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_194,c_30864]) ).
tcf(c_31077,plain,
segmentP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_31075,c_9040,c_141]) ).
tcf(c_31080,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_12) ),
inference(superposition,[status(thm)],[c_31077,c_191]) ).
tcf(c_31082,plain,
~ segmentP(nil,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_31080,c_17052,c_11908,c_141]) ).
tcf(c_36265,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK58,X0) ),
inference(global_subsumption_just,[status(thm)],[c_20932,c_17571,c_17567]) ).
tcf(c_36274,plain,
( memberP(iPr_def_12,sK60)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_20346,c_36265]) ).
tcf(c_36276,plain,
memberP(iPr_def_12,sK60),
inference(forward_subsumption_resolution,[status(thm)],[c_36274,c_9042]) ).
tcf(c_179379,plain,
( ssList(iPr_def_12)
| ~ ssList(sK55) ),
inference(resolution,[status(thm)],[c_9056,c_9047]) ).
tcf(c_199573,plain,
! [X0: $i] :
( singletonP(sK55)
| ( X0 = sK56 )
| ( X0 != nil ) ),
inference(resolution,[status(thm)],[c_9051,c_9036]) ).
tcf(c_217130,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ( X1 != sK55 )
| ( X0 != sK56 ) ),
inference(resolution,[status(thm)],[c_9060,c_9048]) ).
tcf(c_221932,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(iPr_def_10)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ memberP(iPr_def_10,sK57) ),
inference(instantiation,[status(thm)],[c_166]) ).
tcf(c_315392,plain,
! [X0: $i,X1: $i] :
( singletonP(sK55)
| segmentP(X0,X1)
| ( X1 != sK55 )
| ( X0 != nil ) ),
inference(resolution,[status(thm)],[c_199573,c_217130]) ).
tcf(c_316376,plain,
! [X0: $i] :
( singletonP(sK55)
| segmentP(X0,iPr_def_12)
| ( X0 != nil ) ),
inference(resolution,[status(thm)],[c_315392,c_9047]) ).
tcf(c_316377,plain,
( singletonP(sK55)
| segmentP(nil,iPr_def_12)
| ( nil != nil ) ),
inference(instantiation,[status(thm)],[c_316376]) ).
tcf(c_322970,plain,
( ssItem(sK10(iPr_def_12))
| ~ singletonP(iPr_def_12)
| ~ ssList(iPr_def_12) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_363853,plain,
ssList(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_9037,c_9047]) ).
tcf(c_364451,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_9033,c_54]) ).
tcf(c_364458,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(light_normalisation,[status(thm)],[c_364451,c_9033]) ).
tcf(c_364459,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_364458,c_141,c_9039]) ).
tcf(c_364874,plain,
singletonP(sK55),
inference(global_subsumption_just,[status(thm)],[c_9036,c_141,c_195,c_310,c_31082,c_316377]) ).
tcf(c_364876,plain,
singletonP(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_364874,c_9047]) ).
tcf(c_364877,plain,
( ( cons(sK10(iPr_def_12),nil) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_364876,c_60]) ).
tcf(c_364878,plain,
cons(sK10(iPr_def_12),nil) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_364877,c_363853]) ).
tcf(c_365217,plain,
( ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_9033,c_140]) ).
tcf(c_365223,plain,
ssList(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_365217,c_141,c_9039]) ).
tcf(c_365848,plain,
( ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_9034,c_153]) ).
tcf(c_365860,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_365848,c_365223,c_9040]) ).
tcf(c_366602,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_9035,c_165]) ).
tcf(c_366606,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_11,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366602,c_365860,c_9041]) ).
tcf(c_366641,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_11)
| ~ ssList(sK59)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(superposition,[status(thm)],[c_9035,c_166]) ).
tcf(c_366645,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(sK59,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366641,c_365860,c_9041]) ).
tcf(c_366798,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sK10(iPr_def_12) = X0 )
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_12))
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_364878,c_170]) ).
tcf(c_366804,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sK10(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ ssItem(sK10(iPr_def_12))
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_366798,c_141]) ).
tcf(c_375522,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_10),sK57)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_364459,c_255,c_12436,c_12448,c_221932]) ).
tcf(c_375528,plain,
( memberP(iPr_def_11,sK57)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_9034,c_375522]) ).
tcf(c_375532,plain,
memberP(iPr_def_11,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_375528,c_9040]) ).
tcf(c_408911,plain,
( memberP(iPr_def_12,sK57)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_375532,c_366606]) ).
tcf(c_408912,plain,
memberP(iPr_def_12,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_408911,c_9039]) ).
tcf(c_408951,plain,
( memberP(iPr_def_12,sK60)
| memberP(sK58,sK60)
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_9046,c_366645]) ).
tcf(c_408952,plain,
( memberP(iPr_def_12,sK60)
| memberP(sK58,sK60) ),
inference(forward_subsumption_resolution,[status(thm)],[c_408951,c_9042]) ).
tcf(c_409094,plain,
memberP(iPr_def_12,sK60),
inference(global_subsumption_just,[status(thm)],[c_408952,c_36276]) ).
tcf(c_429542,plain,
! [X0: $i] :
( ~ memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ( sK10(iPr_def_12) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_366804,c_260,c_141,c_195,c_171,c_310,c_9047,c_20229,c_31082,c_179379,c_316377,c_322970,c_366804]) ).
tcf(c_429543,plain,
! [X0: $i] :
( ( sK10(iPr_def_12) = X0 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(renaming,[status(thm)],[c_429542]) ).
tcf(c_429552,plain,
( ( sK10(iPr_def_12) = sK57 )
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_408912,c_429543]) ).
tcf(c_429553,plain,
( ( sK10(iPr_def_12) = sK60 )
| ~ ssItem(sK60) ),
inference(superposition,[status(thm)],[c_409094,c_429543]) ).
tcf(c_429554,plain,
sK10(iPr_def_12) = sK60,
inference(forward_subsumption_resolution,[status(thm)],[c_429553,c_9042]) ).
tcf(c_429555,plain,
sK10(iPr_def_12) = sK57,
inference(forward_subsumption_resolution,[status(thm)],[c_429552,c_9039]) ).
tcf(c_430842,plain,
sK57 = sK60,
inference(light_normalisation,[status(thm)],[c_429555,c_429554]) ).
tcf(c_430881,plain,
~ leq(sK60,sK60),
inference(demodulation,[status(thm)],[c_9043,c_430842]) ).
tcf(c_430969,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_430881,c_13126,c_252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC285+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 17:25:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 135.11/31.10 % SZS status Started for theBenchmark.p
% 135.11/31.10 % SZS status Theorem for theBenchmark.p
% 135.11/31.10
% 135.11/31.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 135.11/31.10
% 135.11/31.10 % ------ iProver source info
% 135.11/31.10
% 135.11/31.10 % git: date: 2026-07-19 20:42:38 +0200
% 135.11/31.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 135.11/31.10 % git: non_committed_changes: false
% 135.11/31.10
% 135.11/31.10 % ------ Parsing...
% 135.11/31.10 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 135.11/31.10
% 135.11/31.10 % ------ 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 %
% 135.11/31.10
% 135.11/31.10 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 135.11/31.10
% 135.11/31.10 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 135.11/31.10 % ------ Proving...
% 135.11/31.10 % ------ Problem Properties
% 135.11/31.10
% 135.11/31.10 %
% 135.11/31.10 % clauses 196
% 135.11/31.10 % conjectures 12
% 135.11/31.10 % EPR 62
% 135.11/31.10 % Horn 126
% 135.11/31.10 % unary 27
% 135.11/31.10 % binary 45
% 135.11/31.10 % lits 639
% 135.11/31.10 % lits eq 83
% 135.11/31.10 % fd_pure 0
% 135.11/31.10 % fd_pseudo 0
% 135.11/31.10 % fd_cond 21
% 135.11/31.10 % fd_pseudo_cond 14
% 135.11/31.10 % AC symbols 0
% 135.11/31.10
% 135.11/31.10 % ------ Schedule dynamic 5 is on
% 135.11/31.10
% 135.11/31.10 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 135.11/31.10
% 135.11/31.10
% 135.11/31.10 % ------
% 135.11/31.10 % Current options:
% 135.11/31.10 % ------
% 135.11/31.10
% 135.11/31.10
% 135.11/31.10 %
% 135.11/31.10
% 135.11/31.10 % ------ Proving...
% 135.11/31.10 % Proof_search_loop: time out after: 7060 full_loop iterations
% 135.11/31.10
% 135.11/31.10 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 135.11/31.10
% 135.11/31.10
% 135.11/31.10 % ------
% 135.11/31.10 % Current options:
% 135.11/31.10 % ------
% 135.11/31.10
% 135.11/31.10
% 135.11/31.10 %
% 135.11/31.10
% 135.11/31.10 % ------ Proving...
% 135.11/31.10 % Proof_search_loop: time out after: 9080 full_loop iterations
% 135.11/31.10
% 135.11/31.10 % ------ Option_1: Negative Selections Time Limit: 35.
% 135.11/31.10
% 135.11/31.10
% 135.11/31.10 % ------
% 135.11/31.10 % Current options:
% 135.11/31.10 % ------
% 135.11/31.10
% 135.11/31.10
% 135.11/31.10 %
% 135.11/31.10
% 135.11/31.10 % ------ Proving...
% 135.11/31.10 %
% 135.11/31.10
% 135.11/31.10 % SZS status Theorem for theBenchmark.p
% 135.11/31.10
% 135.11/31.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 135.11/31.11
% 135.11/31.11
%------------------------------------------------------------------------------