TSTP Solution File: SWC274+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC274+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:11:49 EDT 2024
% Result : Theorem 34.87s 5.76s
% Output : CNFRefutation 34.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 82 ( 14 unt; 0 def)
% Number of atoms : 830 ( 187 equ)
% Maximal formula atoms : 54 ( 10 avg)
% Number of connectives : 1183 ( 435 ~; 393 |; 303 &)
% ( 8 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 9 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-2 aty)
% Number of variables : 391 ( 0 sgn 240 !; 136 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| totalorderedP(X0)
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) )
& ssItem(X12) )
& app(cons(X10,nil),X11) = X5
& ssList(X11) )
& ssItem(X10) )
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X6,X8)
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& app(X7,cons(X6,nil)) = X4
& ssList(X7) )
& ssItem(X6) )
| ~ strictorderedP(X2)
| app(app(X4,X2),X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| totalorderedP(X0)
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) )
& ssItem(X12) )
& app(cons(X10,nil),X11) = X5
& ssList(X11) )
& ssItem(X10) )
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X6,X8)
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& app(X7,cons(X6,nil)) = X4
& ssList(X7) )
& ssItem(X6) )
| ~ strictorderedP(X2)
| app(app(X4,X2),X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| totalorderedP(X0)
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X8,X6)
& app(X9,cons(X8,nil)) = X2
& ssList(X9) )
& ssItem(X8) )
& app(cons(X6,nil),X7) = X5
& ssList(X7) )
& ssItem(X6) )
| ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X10,X12)
& app(cons(X12,nil),X13) = X2
& ssList(X13) )
& ssItem(X12) )
& app(X11,cons(X10,nil)) = X4
& ssList(X11) )
& ssItem(X10) )
| ~ strictorderedP(X2)
| app(app(X4,X2),X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f111,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f112,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f113]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ~ totalorderedP(X0)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f285,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f112]) ).
fof(f286,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f285]) ).
fof(f287,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK30(X0),X2)
& app(app(X3,cons(sK30(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f288,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK30(X0),X2)
& app(app(X3,cons(sK30(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK30(X0),sK31(X0))
& app(app(X3,cons(sK30(X0),X4)),cons(sK31(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f289,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK30(X0),sK31(X0))
& app(app(X3,cons(sK30(X0),X4)),cons(sK31(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK30(X0),sK31(X0))
& app(app(sK32(X0),cons(sK30(X0),X4)),cons(sK31(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f290,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK30(X0),sK31(X0))
& app(app(sK32(X0),cons(sK30(X0),X4)),cons(sK31(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK30(X0),sK31(X0))
& app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),X5)) = X0
& ssList(X5) )
& ssList(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK30(X0),sK31(X0))
& app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK30(X0),sK31(X0))
& app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
& ssList(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f292,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(sK30(X0),sK31(X0))
& app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
& ssList(sK34(X0))
& ssList(sK33(X0))
& ssList(sK32(X0))
& ssItem(sK31(X0))
& ssItem(sK30(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33,sK34])],[f286,f291,f290,f289,f288,f287]) ).
fof(f293,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f114]) ).
fof(f294,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f293]) ).
fof(f295,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK35(X0),X2)
& app(app(X3,cons(sK35(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f296,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK35(X0),X2)
& app(app(X3,cons(sK35(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK35(X0),sK36(X0))
& app(app(X3,cons(sK35(X0),X4)),cons(sK36(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK35(X0),sK36(X0))
& app(app(X3,cons(sK35(X0),X4)),cons(sK36(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK35(X0),sK36(X0))
& app(app(sK37(X0),cons(sK35(X0),X4)),cons(sK36(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK35(X0),sK36(X0))
& app(app(sK37(X0),cons(sK35(X0),X4)),cons(sK36(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK35(X0),sK36(X0))
& app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),X5)) = X0
& ssList(X5) )
& ssList(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK35(X0),sK36(X0))
& app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK35(X0),sK36(X0))
& app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0
& ssList(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK35(X0),sK36(X0))
& app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0
& ssList(sK39(X0))
& ssList(sK38(X0))
& ssList(sK37(X0))
& ssItem(sK36(X0))
& ssItem(sK35(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36,sK37,sK38,sK39])],[f294,f299,f298,f297,f296,f295]) ).
fof(f341,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f217]) ).
fof(f342,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f341]) ).
fof(f343,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ~ totalorderedP(X0)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ~ totalorderedP(sK53)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ~ totalorderedP(sK53)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ~ totalorderedP(sK53)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ~ totalorderedP(sK53)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil != sK55
| nil = X3 )
& ~ totalorderedP(sK53)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK55
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK55
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK55)
& app(app(X4,sK55),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X3] :
( ( nil != sK55
| nil = X3 )
& ~ totalorderedP(sK53)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK55
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK55
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK55)
& app(app(X4,sK55),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( nil != sK55
| nil = sK56 )
& ~ totalorderedP(sK53)
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK55
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK55
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK55)
& app(app(X4,sK55),X5) = sK56
& ssList(X5) )
& ssList(X4) )
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK55
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK55
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK55)
& app(app(X4,sK55),X5) = sK56
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK55
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK55
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != sK57
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK55)
& sK56 = app(app(sK57,sK55),X5)
& ssList(X5) )
& ssList(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK55
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK55
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != sK57
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK55)
& sK56 = app(app(sK57,sK55),X5)
& ssList(X5) )
=> ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK55
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != sK58
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK55
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != sK57
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK55)
& sK56 = app(app(sK57,sK55),sK58)
& ssList(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ( nil != sK55
| nil = sK56 )
& ~ totalorderedP(sK53)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK55
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != sK58
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK55
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != sK57
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK55)
& sK56 = app(app(sK57,sK55),sK58)
& ssList(sK58)
& ssList(sK57)
& sK53 = sK55
& sK54 = sK56
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58])],[f222,f348,f347,f346,f345,f344,f343]) ).
fof(f409,plain,
! [X0] :
( totalorderedP(X0)
| ssItem(sK30(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f410,plain,
! [X0] :
( totalorderedP(X0)
| ssItem(sK31(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f411,plain,
! [X0] :
( totalorderedP(X0)
| ssList(sK32(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f412,plain,
! [X0] :
( totalorderedP(X0)
| ssList(sK33(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f413,plain,
! [X0] :
( totalorderedP(X0)
| ssList(sK34(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f414,plain,
! [X0] :
( totalorderedP(X0)
| app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f415,plain,
! [X0] :
( totalorderedP(X0)
| ~ leq(sK30(X0),sK31(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f416,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f545,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f549,plain,
ssList(sK53),
inference(cnf_transformation,[],[f349]) ).
fof(f554,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f349]) ).
fof(f558,plain,
strictorderedP(sK55),
inference(cnf_transformation,[],[f349]) ).
fof(f561,plain,
~ totalorderedP(sK53),
inference(cnf_transformation,[],[f349]) ).
fof(f563,plain,
~ totalorderedP(sK55),
inference(definition_unfolding,[],[f561,f554]) ).
fof(f565,plain,
ssList(sK55),
inference(definition_unfolding,[],[f549,f554]) ).
fof(f576,plain,
! [X10,X8,X6,X9,X7] :
( lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f416]) ).
cnf(c_107,plain,
( ~ leq(sK30(X0),sK31(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_108,plain,
( ~ ssList(X0)
| app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f414]) ).
cnf(c_109,plain,
( ~ ssList(X0)
| ssList(sK34(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_110,plain,
( ~ ssList(X0)
| ssList(sK33(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_111,plain,
( ~ ssList(X0)
| ssList(sK32(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_112,plain,
( ~ ssList(X0)
| ssItem(sK31(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_113,plain,
( ~ ssList(X0)
| ssItem(sK30(X0))
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f409]) ).
cnf(c_122,plain,
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(cnf_transformation,[],[f576]) ).
cnf(c_242,plain,
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f545]) ).
cnf(c_247,negated_conjecture,
~ totalorderedP(sK55),
inference(cnf_transformation,[],[f563]) ).
cnf(c_250,negated_conjecture,
strictorderedP(sK55),
inference(cnf_transformation,[],[f558]) ).
cnf(c_257,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f565]) ).
cnf(c_8921,negated_conjecture,
ssList(sK55),
inference(demodulation,[status(thm)],[c_257]) ).
cnf(c_8926,negated_conjecture,
strictorderedP(sK55),
inference(demodulation,[status(thm)],[c_250]) ).
cnf(c_8929,negated_conjecture,
~ totalorderedP(sK55),
inference(demodulation,[status(thm)],[c_247]) ).
cnf(c_13268,plain,
( ~ ssList(sK55)
| ssList(sK34(sK55))
| totalorderedP(sK55) ),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_13269,plain,
( ~ ssList(sK55)
| ssList(sK33(sK55))
| totalorderedP(sK55) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_13270,plain,
( ~ ssList(sK55)
| ssList(sK32(sK55))
| totalorderedP(sK55) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_13271,plain,
( ~ ssList(sK55)
| ssItem(sK31(sK55))
| totalorderedP(sK55) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_13272,plain,
( ~ ssList(sK55)
| ssItem(sK30(sK55))
| totalorderedP(sK55) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_13295,plain,
( ~ leq(sK30(sK55),sK31(sK55))
| ~ ssList(sK55)
| totalorderedP(sK55) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_14944,plain,
( ~ lt(sK30(sK55),X0)
| ~ ssItem(sK30(sK55))
| ~ ssItem(X0)
| leq(sK30(sK55),X0) ),
inference(instantiation,[status(thm)],[c_242]) ).
cnf(c_22936,plain,
( app(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),cons(sK31(sK55),sK34(sK55))) = sK55
| totalorderedP(sK55) ),
inference(superposition,[status(thm)],[c_8921,c_108]) ).
cnf(c_22948,plain,
app(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),cons(sK31(sK55),sK34(sK55))) = sK55,
inference(forward_subsumption_resolution,[status(thm)],[c_22936,c_8929]) ).
cnf(c_35937,plain,
( ~ strictorderedP(app(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),cons(sK31(sK55),sK34(sK55))))
| ~ ssItem(sK30(sK55))
| ~ ssItem(sK31(sK55))
| ~ ssList(sK32(sK55))
| ~ ssList(sK33(sK55))
| ~ ssList(sK34(sK55))
| ~ ssList(sK55)
| lt(sK30(sK55),sK31(sK55)) ),
inference(superposition,[status(thm)],[c_22948,c_122]) ).
cnf(c_36064,plain,
( ~ ssItem(sK30(sK55))
| ~ ssItem(sK31(sK55))
| ~ ssList(sK32(sK55))
| ~ ssList(sK33(sK55))
| ~ ssList(sK34(sK55))
| ~ ssList(sK55)
| ~ strictorderedP(sK55)
| lt(sK30(sK55),sK31(sK55)) ),
inference(light_normalisation,[status(thm)],[c_35937,c_22948]) ).
cnf(c_36065,plain,
( ~ ssItem(sK30(sK55))
| ~ ssItem(sK31(sK55))
| ~ ssList(sK32(sK55))
| ~ ssList(sK33(sK55))
| ~ ssList(sK34(sK55))
| lt(sK30(sK55),sK31(sK55)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36064,c_8926,c_8921]) ).
cnf(c_114947,plain,
( ~ lt(sK30(sK55),sK31(sK55))
| ~ ssItem(sK30(sK55))
| ~ ssItem(sK31(sK55))
| leq(sK30(sK55),sK31(sK55)) ),
inference(instantiation,[status(thm)],[c_14944]) ).
cnf(c_114949,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_114947,c_36065,c_13295,c_13272,c_13271,c_13270,c_13269,c_13268,c_247,c_257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWC274+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : run_iprover %s %d THM
% 0.13/0.36 % Computer : n005.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu May 2 23:29:11 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 34.87/5.76 % SZS status Started for theBenchmark.p
% 34.87/5.76 % SZS status Theorem for theBenchmark.p
% 34.87/5.76
% 34.87/5.76 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 34.87/5.76
% 34.87/5.76 ------ iProver source info
% 34.87/5.76
% 34.87/5.76 git: date: 2024-05-02 19:28:25 +0000
% 34.87/5.76 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 34.87/5.76 git: non_committed_changes: false
% 34.87/5.76
% 34.87/5.76 ------ Parsing...
% 34.87/5.76 ------ Clausification by vclausify_rel & Parsing by iProver...
% 34.87/5.76
% 34.87/5.76 ------ 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: 4 0s sf_e pe_s pe_e
% 34.87/5.76
% 34.87/5.76 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 34.87/5.76
% 34.87/5.76 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 34.87/5.76 ------ Proving...
% 34.87/5.76 ------ Problem Properties
% 34.87/5.76
% 34.87/5.76
% 34.87/5.76 clauses 192
% 34.87/5.76 conjectures 10
% 34.87/5.76 EPR 57
% 34.87/5.76 Horn 124
% 34.87/5.76 unary 25
% 34.87/5.76 binary 41
% 34.87/5.76 lits 643
% 34.87/5.76 lits eq 87
% 34.87/5.76 fd_pure 0
% 34.87/5.76 fd_pseudo 0
% 34.87/5.76 fd_cond 21
% 34.87/5.76 fd_pseudo_cond 14
% 34.87/5.76 AC symbols 0
% 34.87/5.76
% 34.87/5.76 ------ Schedule dynamic 5 is on
% 34.87/5.76
% 34.87/5.76 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 34.87/5.76
% 34.87/5.76
% 34.87/5.76 ------
% 34.87/5.76 Current options:
% 34.87/5.76 ------
% 34.87/5.76
% 34.87/5.76
% 34.87/5.76
% 34.87/5.76
% 34.87/5.76 ------ Proving...
% 34.87/5.76
% 34.87/5.76
% 34.87/5.76 % SZS status Theorem for theBenchmark.p
% 34.87/5.76
% 34.87/5.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 34.87/5.76
% 34.87/5.76
%------------------------------------------------------------------------------