TSTP Solution File: SWC298+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC298+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 03:11:55 EDT 2024
% Result : Theorem 20.70s 3.71s
% Output : CNFRefutation 20.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f608)
% 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/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X9] :
( ssItem(X9)
=> ( ? [X10] :
( leq(X10,X9)
& memberP(X3,X10)
& X9 != X10
& ssItem(X10) )
| ~ memberP(X3,X9)
| cons(X9,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( ~ lt(X5,X4)
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0 ) ) ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X9] :
( ssItem(X9)
=> ( ? [X10] :
( leq(X10,X9)
& memberP(X3,X10)
& X9 != X10
& ssItem(X10) )
| ~ memberP(X3,X9)
| cons(X9,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( ~ lt(X5,X4)
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0 ) ) ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ? [X5] :
( leq(X5,X4)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( ~ lt(X7,X6)
| app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) != X0 ) ) ) ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f149,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = X0
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = X0
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f237,plain,
! [X0] :
( ! [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) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK8(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f240,plain,
! [X0,X1] :
( ? [X5] :
( app(sK8(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
& ssList(sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
& ssList(sK9(X0,X1))
& ssList(sK8(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f238,f240,f239]) ).
fof(f323,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f147]) ).
fof(f324,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f323]) ).
fof(f325,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f148]) ).
fof(f326,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f325]) ).
fof(f344,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = X0
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = sK53
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = sK53
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = sK53
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = sK53
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK55
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = sK53
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X3] :
( ( ( nil = sK55
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = sK53
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( ( nil = sK55
& nil = sK56 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK56,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK56,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = sK53
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK56,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK56,X4)
& cons(X4,nil) = sK55
& ssItem(X4) )
=> ( ! [X5] :
( ~ leq(X5,sK57)
| ~ memberP(sK56,X5)
| sK57 = X5
| ~ ssItem(X5) )
& memberP(sK56,sK57)
& sK55 = cons(sK57,nil)
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = sK53
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
=> ( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,sK58)
& sK53 = app(app(app(app(X8,cons(sK58,nil)),X9),cons(X7,nil)),X10)
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(X7,sK58)
& sK53 = app(app(app(app(X8,cons(sK58,nil)),X9),cons(X7,nil)),X10)
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
=> ( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(sK59,sK58)
& sK53 = app(app(app(app(X8,cons(sK58,nil)),X9),cons(sK59,nil)),X10)
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
( ? [X8] :
( ? [X9] :
( ? [X10] :
( lt(sK59,sK58)
& sK53 = app(app(app(app(X8,cons(sK58,nil)),X9),cons(sK59,nil)),X10)
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
=> ( ? [X9] :
( ? [X10] :
( lt(sK59,sK58)
& sK53 = app(app(app(app(sK60,cons(sK58,nil)),X9),cons(sK59,nil)),X10)
& ssList(X10) )
& ssList(X9) )
& ssList(sK60) ) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
( ? [X9] :
( ? [X10] :
( lt(sK59,sK58)
& sK53 = app(app(app(app(sK60,cons(sK58,nil)),X9),cons(sK59,nil)),X10)
& ssList(X10) )
& ssList(X9) )
=> ( ? [X10] :
( lt(sK59,sK58)
& sK53 = app(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)),X10)
& ssList(X10) )
& ssList(sK61) ) ),
introduced(choice_axiom,[]) ).
fof(f353,plain,
( ? [X10] :
( lt(sK59,sK58)
& sK53 = app(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)),X10)
& ssList(X10) )
=> ( lt(sK59,sK58)
& sK53 = app(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)),sK62)
& ssList(sK62) ) ),
introduced(choice_axiom,[]) ).
fof(f354,plain,
( ( ( nil = sK55
& nil = sK56 )
| ( ! [X5] :
( ~ leq(X5,sK57)
| ~ memberP(sK56,X5)
| sK57 = X5
| ~ ssItem(X5) )
& memberP(sK56,sK57)
& sK55 = cons(sK57,nil)
& ssItem(sK57) ) )
& lt(sK59,sK58)
& sK53 = app(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)),sK62)
& ssList(sK62)
& ssList(sK61)
& ssList(sK60)
& ssItem(sK59)
& ssItem(sK58)
& 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,sK59,sK60,sK61,sK62])],[f223,f353,f352,f351,f350,f349,f348,f347,f346,f345,f344]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f446,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f447,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f459,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f472,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f473,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f474,plain,
! [X2,X0,X1] :
( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f477,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f559,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f354]) ).
fof(f560,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f354]) ).
fof(f561,plain,
ssItem(sK59),
inference(cnf_transformation,[],[f354]) ).
fof(f562,plain,
ssList(sK60),
inference(cnf_transformation,[],[f354]) ).
fof(f563,plain,
ssList(sK61),
inference(cnf_transformation,[],[f354]) ).
fof(f564,plain,
ssList(sK62),
inference(cnf_transformation,[],[f354]) ).
fof(f565,plain,
sK53 = app(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)),sK62),
inference(cnf_transformation,[],[f354]) ).
fof(f566,plain,
lt(sK59,sK58),
inference(cnf_transformation,[],[f354]) ).
fof(f567,plain,
( nil = sK56
| ssItem(sK57) ),
inference(cnf_transformation,[],[f354]) ).
fof(f568,plain,
( nil = sK56
| sK55 = cons(sK57,nil) ),
inference(cnf_transformation,[],[f354]) ).
fof(f571,plain,
( nil = sK55
| ssItem(sK57) ),
inference(cnf_transformation,[],[f354]) ).
fof(f573,plain,
( nil = sK55
| memberP(sK56,sK57) ),
inference(cnf_transformation,[],[f354]) ).
fof(f575,plain,
sK55 = app(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)),sK62),
inference(definition_unfolding,[],[f565,f559]) ).
fof(f579,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f363]) ).
cnf(c_54,plain,
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(cnf_transformation,[],[f579]) ).
cnf(c_140,plain,
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
inference(cnf_transformation,[],[f446]) ).
cnf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f447]) ).
cnf(c_153,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_165,plain,
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X2,X0),X1) ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_166,plain,
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,X2),X1) ),
inference(cnf_transformation,[],[f472]) ).
cnf(c_169,plain,
( ~ ssItem(X0)
| ~ ssList(X1)
| memberP(cons(X0,X1),X0) ),
inference(cnf_transformation,[],[f608]) ).
cnf(c_170,plain,
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2) ),
inference(cnf_transformation,[],[f474]) ).
cnf(c_171,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f477]) ).
cnf(c_243,plain,
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f611]) ).
cnf(c_247,negated_conjecture,
( nil = sK55
| memberP(sK56,sK57) ),
inference(cnf_transformation,[],[f573]) ).
cnf(c_249,negated_conjecture,
( nil = sK55
| ssItem(sK57) ),
inference(cnf_transformation,[],[f571]) ).
cnf(c_252,negated_conjecture,
( cons(sK57,nil) = sK55
| nil = sK56 ),
inference(cnf_transformation,[],[f568]) ).
cnf(c_253,negated_conjecture,
( nil = sK56
| ssItem(sK57) ),
inference(cnf_transformation,[],[f567]) ).
cnf(c_254,negated_conjecture,
lt(sK59,sK58),
inference(cnf_transformation,[],[f566]) ).
cnf(c_255,negated_conjecture,
app(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)),sK62) = sK55,
inference(cnf_transformation,[],[f575]) ).
cnf(c_256,negated_conjecture,
ssList(sK62),
inference(cnf_transformation,[],[f564]) ).
cnf(c_257,negated_conjecture,
ssList(sK61),
inference(cnf_transformation,[],[f563]) ).
cnf(c_258,negated_conjecture,
ssList(sK60),
inference(cnf_transformation,[],[f562]) ).
cnf(c_259,negated_conjecture,
ssItem(sK59),
inference(cnf_transformation,[],[f561]) ).
cnf(c_260,negated_conjecture,
ssItem(sK58),
inference(cnf_transformation,[],[f560]) ).
cnf(c_7717,negated_conjecture,
ssItem(sK58),
inference(subtyping,[status(esa)],[c_260]) ).
cnf(c_7718,negated_conjecture,
ssItem(sK59),
inference(subtyping,[status(esa)],[c_259]) ).
cnf(c_7719,negated_conjecture,
ssList(sK60),
inference(subtyping,[status(esa)],[c_258]) ).
cnf(c_7720,negated_conjecture,
ssList(sK61),
inference(subtyping,[status(esa)],[c_257]) ).
cnf(c_7721,negated_conjecture,
ssList(sK62),
inference(subtyping,[status(esa)],[c_256]) ).
cnf(c_7722,negated_conjecture,
app(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)),sK62) = sK55,
inference(subtyping,[status(esa)],[c_255]) ).
cnf(c_7723,negated_conjecture,
lt(sK59,sK58),
inference(subtyping,[status(esa)],[c_254]) ).
cnf(c_7724,negated_conjecture,
( nil = sK56
| ssItem(sK57) ),
inference(subtyping,[status(esa)],[c_253]) ).
cnf(c_7725,negated_conjecture,
( cons(sK57,nil) = sK55
| nil = sK56 ),
inference(subtyping,[status(esa)],[c_252]) ).
cnf(c_7728,negated_conjecture,
( nil = sK55
| ssItem(sK57) ),
inference(subtyping,[status(esa)],[c_249]) ).
cnf(c_7730,negated_conjecture,
( nil = sK55
| memberP(sK56,sK57) ),
inference(subtyping,[status(esa)],[c_247]) ).
cnf(c_7737,plain,
( ~ lt(X0_14,X0_14)
| ~ ssItem(X0_14) ),
inference(subtyping,[status(esa)],[c_243]) ).
cnf(c_7792,plain,
( ~ memberP(nil,X0_14)
| ~ ssItem(X0_14) ),
inference(subtyping,[status(esa)],[c_171]) ).
cnf(c_7793,plain,
( ~ memberP(cons(X0_14,X0_13),X1_14)
| ~ ssItem(X0_14)
| ~ ssItem(X1_14)
| ~ ssList(X0_13)
| X0_14 = X1_14
| memberP(X0_13,X1_14) ),
inference(subtyping,[status(esa)],[c_170]) ).
cnf(c_7794,plain,
( ~ ssItem(X0_14)
| ~ ssList(X0_13)
| memberP(cons(X0_14,X0_13),X0_14) ),
inference(subtyping,[status(esa)],[c_169]) ).
cnf(c_7797,plain,
( ~ memberP(X0_13,X0_14)
| ~ ssItem(X0_14)
| ~ ssList(X0_13)
| ~ ssList(X1_13)
| memberP(app(X0_13,X1_13),X0_14) ),
inference(subtyping,[status(esa)],[c_166]) ).
cnf(c_7798,plain,
( ~ memberP(X0_13,X0_14)
| ~ ssItem(X0_14)
| ~ ssList(X0_13)
| ~ ssList(X1_13)
| memberP(app(X1_13,X0_13),X0_14) ),
inference(subtyping,[status(esa)],[c_165]) ).
cnf(c_7810,plain,
( ~ ssList(X0_13)
| ~ ssList(X1_13)
| ssList(app(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_153]) ).
cnf(c_7822,plain,
ssList(nil),
inference(subtyping,[status(esa)],[c_141]) ).
cnf(c_7823,plain,
( ~ ssItem(X0_14)
| ~ ssList(X0_13)
| ssList(cons(X0_14,X0_13)) ),
inference(subtyping,[status(esa)],[c_140]) ).
cnf(c_7896,plain,
( ~ ssList(app(X0_13,cons(X0_14,X1_13)))
| ~ ssItem(X0_14)
| ~ ssList(X0_13)
| ~ ssList(X1_13)
| memberP(app(X0_13,cons(X0_14,X1_13)),X0_14) ),
inference(subtyping,[status(esa)],[c_54]) ).
cnf(c_18687,plain,
( ~ memberP(sK55,X0_14)
| ~ ssItem(X0_14)
| ~ ssItem(sK57)
| ~ ssList(nil)
| X0_14 = sK57
| nil = sK56
| memberP(nil,X0_14) ),
inference(superposition,[status(thm)],[c_7725,c_7793]) ).
cnf(c_18688,plain,
( ~ memberP(sK55,X0_14)
| ~ ssItem(X0_14)
| ~ ssItem(sK57)
| X0_14 = sK57
| nil = sK56
| memberP(nil,X0_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18687,c_7822]) ).
cnf(c_18713,plain,
( ~ memberP(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)),X0_14)
| ~ ssList(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)))
| ~ ssItem(X0_14)
| ~ ssList(sK62)
| memberP(sK55,X0_14) ),
inference(superposition,[status(thm)],[c_7722,c_7797]) ).
cnf(c_18715,plain,
( ~ memberP(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)),X0_14)
| ~ ssList(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)))
| ~ ssItem(X0_14)
| memberP(sK55,X0_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18713,c_7721]) ).
cnf(c_19084,plain,
( ~ ssList(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)))
| ~ ssList(app(app(sK60,cons(sK58,nil)),sK61))
| ~ memberP(cons(sK59,nil),X0_14)
| ~ ssList(cons(sK59,nil))
| ~ ssItem(X0_14)
| memberP(sK55,X0_14) ),
inference(superposition,[status(thm)],[c_7798,c_18715]) ).
cnf(c_19085,plain,
( ~ ssList(app(app(app(sK60,cons(sK58,nil)),sK61),cons(sK59,nil)))
| ~ memberP(app(app(sK60,cons(sK58,nil)),sK61),X0_14)
| ~ ssList(app(app(sK60,cons(sK58,nil)),sK61))
| ~ ssList(cons(sK59,nil))
| ~ ssItem(X0_14)
| memberP(sK55,X0_14) ),
inference(superposition,[status(thm)],[c_7797,c_18715]) ).
cnf(c_20141,plain,
( ~ ssList(app(app(sK60,cons(sK58,nil)),sK61))
| ~ memberP(cons(sK59,nil),X0_14)
| ~ ssList(cons(sK59,nil))
| ~ ssItem(X0_14)
| memberP(sK55,X0_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19084,c_7810]) ).
cnf(c_20142,plain,
( ~ ssList(app(sK60,cons(sK58,nil)))
| ~ memberP(cons(sK59,nil),X0_14)
| ~ ssList(cons(sK59,nil))
| ~ ssItem(X0_14)
| ~ ssList(sK61)
| memberP(sK55,X0_14) ),
inference(superposition,[status(thm)],[c_7810,c_20141]) ).
cnf(c_20143,plain,
( ~ ssList(app(sK60,cons(sK58,nil)))
| ~ memberP(cons(sK59,nil),X0_14)
| ~ ssList(cons(sK59,nil))
| ~ ssItem(X0_14)
| memberP(sK55,X0_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20142,c_7720]) ).
cnf(c_20150,plain,
( ~ memberP(app(app(sK60,cons(sK58,nil)),sK61),X0_14)
| ~ ssList(app(app(sK60,cons(sK58,nil)),sK61))
| ~ ssList(cons(sK59,nil))
| ~ ssItem(X0_14)
| memberP(sK55,X0_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19085,c_7810]) ).
cnf(c_20152,plain,
( ~ ssList(app(app(sK60,cons(sK58,nil)),sK61))
| ~ memberP(app(sK60,cons(sK58,nil)),X0_14)
| ~ ssList(app(sK60,cons(sK58,nil)))
| ~ ssList(cons(sK59,nil))
| ~ ssItem(X0_14)
| ~ ssList(sK61)
| memberP(sK55,X0_14) ),
inference(superposition,[status(thm)],[c_7797,c_20150]) ).
cnf(c_20155,plain,
( ~ ssList(app(app(sK60,cons(sK58,nil)),sK61))
| ~ memberP(app(sK60,cons(sK58,nil)),X0_14)
| ~ ssList(app(sK60,cons(sK58,nil)))
| ~ ssList(cons(sK59,nil))
| ~ ssItem(X0_14)
| memberP(sK55,X0_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20152,c_7720]) ).
cnf(c_20236,plain,
( ~ memberP(sK55,X0_14)
| ~ ssItem(X0_14)
| X0_14 = sK57
| nil = sK56 ),
inference(forward_subsumption_resolution,[status(thm)],[c_18688,c_7792,c_7724]) ).
cnf(c_20909,plain,
( ~ memberP(cons(sK59,nil),X0_14)
| ~ ssList(cons(sK59,nil))
| ~ ssList(cons(sK58,nil))
| ~ ssItem(X0_14)
| ~ ssList(sK60)
| memberP(sK55,X0_14) ),
inference(superposition,[status(thm)],[c_7810,c_20143]) ).
cnf(c_20910,plain,
( ~ memberP(cons(sK59,nil),X0_14)
| ~ ssList(cons(sK59,nil))
| ~ ssList(cons(sK58,nil))
| ~ ssItem(X0_14)
| memberP(sK55,X0_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20909,c_7719]) ).
cnf(c_21313,plain,
( ~ memberP(app(sK60,cons(sK58,nil)),X0_14)
| ~ ssList(app(sK60,cons(sK58,nil)))
| ~ ssList(cons(sK59,nil))
| ~ ssItem(X0_14)
| ~ ssList(sK61)
| memberP(sK55,X0_14) ),
inference(superposition,[status(thm)],[c_7810,c_20155]) ).
cnf(c_21314,plain,
( ~ memberP(app(sK60,cons(sK58,nil)),X0_14)
| ~ ssList(app(sK60,cons(sK58,nil)))
| ~ ssList(cons(sK59,nil))
| ~ ssItem(X0_14)
| memberP(sK55,X0_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21313,c_7720]) ).
cnf(c_22060,plain,
( ~ ssList(cons(sK59,nil))
| ~ ssList(cons(sK58,nil))
| ~ ssItem(sK59)
| ~ ssList(nil)
| memberP(sK55,sK59) ),
inference(superposition,[status(thm)],[c_7794,c_20910]) ).
cnf(c_22061,plain,
( ~ ssList(cons(sK59,nil))
| ~ ssList(cons(sK58,nil))
| memberP(sK55,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22060,c_7822,c_7718]) ).
cnf(c_22372,plain,
( ~ ssList(app(sK60,cons(sK58,nil)))
| ~ ssList(cons(sK59,nil))
| ~ ssItem(sK58)
| ~ ssList(nil)
| ~ ssList(sK60)
| memberP(sK55,sK58) ),
inference(superposition,[status(thm)],[c_7896,c_21314]) ).
cnf(c_22374,plain,
( ~ ssList(app(sK60,cons(sK58,nil)))
| ~ ssList(cons(sK59,nil))
| memberP(sK55,sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22372,c_7719,c_7822,c_7717]) ).
cnf(c_22982,plain,
( ~ ssList(cons(sK58,nil))
| ~ ssItem(sK59)
| ~ ssList(nil)
| memberP(sK55,sK59) ),
inference(superposition,[status(thm)],[c_7823,c_22061]) ).
cnf(c_22983,plain,
( ~ ssList(cons(sK58,nil))
| memberP(sK55,sK59) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22982,c_7822,c_7718]) ).
cnf(c_23357,plain,
( ~ ssList(cons(sK59,nil))
| ~ ssList(cons(sK58,nil))
| ~ ssList(sK60)
| memberP(sK55,sK58) ),
inference(superposition,[status(thm)],[c_7810,c_22374]) ).
cnf(c_23358,plain,
( ~ ssList(cons(sK59,nil))
| ~ ssList(cons(sK58,nil))
| memberP(sK55,sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23357,c_7719]) ).
cnf(c_26589,plain,
( ~ ssItem(sK58)
| ~ ssList(nil)
| memberP(sK55,sK59) ),
inference(superposition,[status(thm)],[c_7823,c_22983]) ).
cnf(c_26590,plain,
memberP(sK55,sK59),
inference(forward_subsumption_resolution,[status(thm)],[c_26589,c_7822,c_7717]) ).
cnf(c_26628,plain,
( ~ ssItem(sK59)
| nil = sK56
| sK57 = sK59 ),
inference(superposition,[status(thm)],[c_26590,c_20236]) ).
cnf(c_26629,plain,
( nil = sK56
| sK57 = sK59 ),
inference(forward_subsumption_resolution,[status(thm)],[c_26628,c_7718]) ).
cnf(c_26692,plain,
( nil = sK56
| lt(sK57,sK58) ),
inference(superposition,[status(thm)],[c_26629,c_7723]) ).
cnf(c_27351,plain,
( ~ ssList(cons(sK58,nil))
| ~ ssItem(sK59)
| ~ ssList(nil)
| memberP(sK55,sK58) ),
inference(superposition,[status(thm)],[c_7823,c_23358]) ).
cnf(c_27353,plain,
( ~ ssList(cons(sK58,nil))
| memberP(sK55,sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27351,c_7822,c_7718]) ).
cnf(c_27482,plain,
( ~ ssItem(sK58)
| ~ ssList(nil)
| memberP(sK55,sK58) ),
inference(superposition,[status(thm)],[c_7823,c_27353]) ).
cnf(c_27483,plain,
memberP(sK55,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_27482,c_7822,c_7717]) ).
cnf(c_27519,plain,
( ~ ssItem(sK58)
| nil = sK56
| sK57 = sK58 ),
inference(superposition,[status(thm)],[c_27483,c_20236]) ).
cnf(c_27520,plain,
( nil = sK56
| sK57 = sK58 ),
inference(forward_subsumption_resolution,[status(thm)],[c_27519,c_7717]) ).
cnf(c_28104,plain,
( nil = sK56
| lt(sK57,sK57) ),
inference(superposition,[status(thm)],[c_27520,c_26692]) ).
cnf(c_28174,plain,
( ~ ssItem(sK57)
| nil = sK56 ),
inference(superposition,[status(thm)],[c_28104,c_7737]) ).
cnf(c_28177,plain,
nil = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_28174,c_7724]) ).
cnf(c_28212,plain,
( nil = sK55
| memberP(nil,sK57) ),
inference(superposition,[status(thm)],[c_28177,c_7730]) ).
cnf(c_28669,plain,
( ~ ssItem(sK57)
| nil = sK55 ),
inference(superposition,[status(thm)],[c_28212,c_7792]) ).
cnf(c_28751,plain,
nil = sK55,
inference(forward_subsumption_resolution,[status(thm)],[c_28669,c_7728]) ).
cnf(c_28823,plain,
( ~ memberP(sK55,X0_14)
| ~ ssItem(X0_14) ),
inference(superposition,[status(thm)],[c_28751,c_7792]) ).
cnf(c_29495,plain,
~ ssItem(sK58),
inference(superposition,[status(thm)],[c_27483,c_28823]) ).
cnf(c_29496,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_29495,c_7717]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC298+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:01:51 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.70/3.71 % SZS status Started for theBenchmark.p
% 20.70/3.71 % SZS status Theorem for theBenchmark.p
% 20.70/3.71
% 20.70/3.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.70/3.71
% 20.70/3.71 ------ iProver source info
% 20.70/3.71
% 20.70/3.71 git: date: 2024-05-02 19:28:25 +0000
% 20.70/3.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 20.70/3.71 git: non_committed_changes: false
% 20.70/3.71
% 20.70/3.71 ------ Parsing...
% 20.70/3.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 20.70/3.71
% 20.70/3.71 ------ 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
% 20.70/3.71
% 20.70/3.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.70/3.71
% 20.70/3.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.70/3.71 ------ Proving...
% 20.70/3.71 ------ Problem Properties
% 20.70/3.71
% 20.70/3.71
% 20.70/3.71 clauses 197
% 20.70/3.71 conjectures 17
% 20.70/3.71 EPR 63
% 20.70/3.71 Horn 121
% 20.70/3.71 unary 25
% 20.70/3.71 binary 46
% 20.70/3.71 lits 649
% 20.70/3.71 lits eq 91
% 20.70/3.71 fd_pure 0
% 20.70/3.71 fd_pseudo 0
% 20.70/3.71 fd_cond 23
% 20.70/3.71 fd_pseudo_cond 14
% 20.70/3.71 AC symbols 0
% 20.70/3.71
% 20.70/3.71 ------ Input Options Time Limit: Unbounded
% 20.70/3.71
% 20.70/3.71
% 20.70/3.71 ------
% 20.70/3.71 Current options:
% 20.70/3.71 ------
% 20.70/3.71
% 20.70/3.71
% 20.70/3.71
% 20.70/3.71
% 20.70/3.71 ------ Proving...
% 20.70/3.71
% 20.70/3.71
% 20.70/3.71 % SZS status Theorem for theBenchmark.p
% 20.70/3.71
% 20.70/3.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.70/3.71
% 20.70/3.71
%------------------------------------------------------------------------------