TSTP Solution File: SWC220+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC220+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 03:11:38 EDT 2024
% Result : Theorem 3.83s 1.11s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( ? [X11] :
( leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ~ leq(X11,X8)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != X2 ) ) ) )
& nil != X2 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ssItem(X7)
=> ( leq(X7,X4)
| ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = 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)
=> ( ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( ? [X11] :
( leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ~ leq(X11,X8)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != X2 ) ) ) )
& nil != X2 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ssItem(X7)
=> ( leq(X7,X4)
| ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ? [X7] :
( leq(X4,X7)
& memberP(X6,X7)
& memberP(X5,X7)
& ~ leq(X7,X4)
& ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != X2 ) ) ) )
& nil != X2 )
| ? [X8] :
( ? [X9] :
( ? [X10] :
( ! [X11] :
( ssItem(X11)
=> ( leq(X11,X8)
| ~ leq(X8,X11)
| ~ memberP(X10,X11)
| ~ memberP(X9,X11) ) )
& app(app(X9,cons(X8,nil)),X10) = X0
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) )
| nil = X0
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f344,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != sK53
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != sK53
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != sK53
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != sK53
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = sK55
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = sK55 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != sK53
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X3] :
( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = sK55
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = sK55 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != sK53
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = sK55
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = sK55 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != sK53
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,X4)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = sK55
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(sK57,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,sK57)
| ~ ssItem(X7) )
& sK55 = app(app(X5,cons(sK57,nil)),X6)
& ssList(X6) )
& ssList(X5) )
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ leq(sK57,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X7,sK57)
| ~ ssItem(X7) )
& sK55 = app(app(X5,cons(sK57,nil)),X6)
& ssList(X6) )
& ssList(X5) )
=> ( ? [X6] :
( ! [X7] :
( ~ leq(sK57,X7)
| ~ memberP(X6,X7)
| ~ memberP(sK58,X7)
| leq(X7,sK57)
| ~ ssItem(X7) )
& sK55 = app(app(sK58,cons(sK57,nil)),X6)
& ssList(X6) )
& ssList(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
( ? [X6] :
( ! [X7] :
( ~ leq(sK57,X7)
| ~ memberP(X6,X7)
| ~ memberP(sK58,X7)
| leq(X7,sK57)
| ~ ssItem(X7) )
& sK55 = app(app(sK58,cons(sK57,nil)),X6)
& ssList(X6) )
=> ( ! [X7] :
( ~ leq(sK57,X7)
| ~ memberP(sK59,X7)
| ~ memberP(sK58,X7)
| leq(X7,sK57)
| ~ ssItem(X7) )
& sK55 = app(app(sK58,cons(sK57,nil)),sK59)
& ssList(sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X8,X9,X10] :
( ? [X11] :
( ~ leq(X11,X8)
& leq(X8,X11)
& memberP(X10,X11)
& memberP(X9,X11)
& ssItem(X11) )
=> ( ~ leq(sK60(X8,X9,X10),X8)
& leq(X8,sK60(X8,X9,X10))
& memberP(X10,sK60(X8,X9,X10))
& memberP(X9,sK60(X8,X9,X10))
& ssItem(sK60(X8,X9,X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
( ( ( ! [X7] :
( ~ leq(sK57,X7)
| ~ memberP(sK59,X7)
| ~ memberP(sK58,X7)
| leq(X7,sK57)
| ~ ssItem(X7) )
& sK55 = app(app(sK58,cons(sK57,nil)),sK59)
& ssList(sK59)
& ssList(sK58)
& ssItem(sK57) )
| nil = sK55 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ~ leq(sK60(X8,X9,X10),X8)
& leq(X8,sK60(X8,X9,X10))
& memberP(X10,sK60(X8,X9,X10))
& memberP(X9,sK60(X8,X9,X10))
& ssItem(sK60(X8,X9,X10)) )
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& nil != sK53
& 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])],[f223,f351,f350,f349,f348,f347,f346,f345,f344]) ).
fof(f557,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f352]) ).
fof(f558,plain,
nil != sK53,
inference(cnf_transformation,[],[f352]) ).
fof(f559,plain,
! [X10,X8,X9] :
( ssItem(sK60(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f352]) ).
fof(f560,plain,
! [X10,X8,X9] :
( memberP(X9,sK60(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f352]) ).
fof(f561,plain,
! [X10,X8,X9] :
( memberP(X10,sK60(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f352]) ).
fof(f562,plain,
! [X10,X8,X9] :
( leq(X8,sK60(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f352]) ).
fof(f563,plain,
! [X10,X8,X9] :
( ~ leq(sK60(X8,X9,X10),X8)
| app(app(X9,cons(X8,nil)),X10) != sK53
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f352]) ).
fof(f564,plain,
( ssItem(sK57)
| nil = sK55 ),
inference(cnf_transformation,[],[f352]) ).
fof(f565,plain,
( ssList(sK58)
| nil = sK55 ),
inference(cnf_transformation,[],[f352]) ).
fof(f566,plain,
( ssList(sK59)
| nil = sK55 ),
inference(cnf_transformation,[],[f352]) ).
fof(f567,plain,
( sK55 = app(app(sK58,cons(sK57,nil)),sK59)
| nil = sK55 ),
inference(cnf_transformation,[],[f352]) ).
fof(f568,plain,
! [X7] :
( ~ leq(sK57,X7)
| ~ memberP(sK59,X7)
| ~ memberP(sK58,X7)
| leq(X7,sK57)
| ~ ssItem(X7)
| nil = sK55 ),
inference(cnf_transformation,[],[f352]) ).
fof(f569,plain,
! [X10,X8,X9] :
( ~ leq(sK60(X8,X9,X10),X8)
| app(app(X9,cons(X8,nil)),X10) != sK55
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(definition_unfolding,[],[f563,f557]) ).
fof(f570,plain,
! [X10,X8,X9] :
( leq(X8,sK60(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK55
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(definition_unfolding,[],[f562,f557]) ).
fof(f571,plain,
! [X10,X8,X9] :
( memberP(X10,sK60(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK55
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(definition_unfolding,[],[f561,f557]) ).
fof(f572,plain,
! [X10,X8,X9] :
( memberP(X9,sK60(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK55
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(definition_unfolding,[],[f560,f557]) ).
fof(f573,plain,
! [X10,X8,X9] :
( ssItem(sK60(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK55
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(definition_unfolding,[],[f559,f557]) ).
fof(f574,plain,
nil != sK55,
inference(definition_unfolding,[],[f558,f557]) ).
cnf(c_246,negated_conjecture,
( ~ memberP(sK59,X0)
| ~ memberP(sK58,X0)
| ~ leq(sK57,X0)
| ~ ssItem(X0)
| nil = sK55
| leq(X0,sK57) ),
inference(cnf_transformation,[],[f568]) ).
cnf(c_247,negated_conjecture,
( app(app(sK58,cons(sK57,nil)),sK59) = sK55
| nil = sK55 ),
inference(cnf_transformation,[],[f567]) ).
cnf(c_248,negated_conjecture,
( nil = sK55
| ssList(sK59) ),
inference(cnf_transformation,[],[f566]) ).
cnf(c_249,negated_conjecture,
( nil = sK55
| ssList(sK58) ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_250,negated_conjecture,
( nil = sK55
| ssItem(sK57) ),
inference(cnf_transformation,[],[f564]) ).
cnf(c_251,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ leq(sK60(X1,X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f569]) ).
cnf(c_252,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,sK60(X1,X0,X2)) ),
inference(cnf_transformation,[],[f570]) ).
cnf(c_253,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X2,sK60(X1,X0,X2)) ),
inference(cnf_transformation,[],[f571]) ).
cnf(c_254,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X0,sK60(X1,X0,X2)) ),
inference(cnf_transformation,[],[f572]) ).
cnf(c_255,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ssItem(sK60(X1,X0,X2)) ),
inference(cnf_transformation,[],[f573]) ).
cnf(c_256,negated_conjecture,
nil != sK55,
inference(cnf_transformation,[],[f574]) ).
cnf(c_372,negated_conjecture,
ssItem(sK57),
inference(global_subsumption_just,[status(thm)],[c_250,c_256,c_250]) ).
cnf(c_374,negated_conjecture,
ssList(sK58),
inference(global_subsumption_just,[status(thm)],[c_249,c_256,c_249]) ).
cnf(c_376,negated_conjecture,
ssList(sK59),
inference(global_subsumption_just,[status(thm)],[c_248,c_256,c_248]) ).
cnf(c_390,negated_conjecture,
app(app(sK58,cons(sK57,nil)),sK59) = sK55,
inference(global_subsumption_just,[status(thm)],[c_247,c_256,c_247]) ).
cnf(c_398,plain,
( ~ ssItem(X0)
| ~ leq(sK57,X0)
| ~ memberP(sK58,X0)
| ~ memberP(sK59,X0)
| leq(X0,sK57) ),
inference(global_subsumption_just,[status(thm)],[c_246,c_256,c_246]) ).
cnf(c_399,negated_conjecture,
( ~ memberP(sK59,X0)
| ~ memberP(sK58,X0)
| ~ leq(sK57,X0)
| ~ ssItem(X0)
| leq(X0,sK57) ),
inference(renaming,[status(thm)],[c_398]) ).
cnf(c_9050,plain,
cons(sK57,nil) = sP0_iProver_def,
definition ).
cnf(c_9051,plain,
app(sK58,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_9052,plain,
app(sP1_iProver_def,sK59) = sP2_iProver_def,
definition ).
cnf(c_9053,negated_conjecture,
( ~ memberP(sK59,X0)
| ~ memberP(sK58,X0)
| ~ leq(sK57,X0)
| ~ ssItem(X0)
| leq(X0,sK57) ),
inference(demodulation,[status(thm)],[c_399]) ).
cnf(c_9054,negated_conjecture,
sP2_iProver_def = sK55,
inference(demodulation,[status(thm)],[c_390,c_9050,c_9051,c_9052]) ).
cnf(c_9055,negated_conjecture,
ssList(sK59),
inference(demodulation,[status(thm)],[c_376]) ).
cnf(c_9056,negated_conjecture,
ssList(sK58),
inference(demodulation,[status(thm)],[c_374]) ).
cnf(c_9057,negated_conjecture,
ssItem(sK57),
inference(demodulation,[status(thm)],[c_372]) ).
cnf(c_9061,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ssItem(sK60(X1,X0,X2)) ),
inference(demodulation,[status(thm)],[c_255]) ).
cnf(c_9062,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X0,sK60(X1,X0,X2)) ),
inference(demodulation,[status(thm)],[c_254]) ).
cnf(c_9063,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X2,sK60(X1,X0,X2)) ),
inference(demodulation,[status(thm)],[c_253]) ).
cnf(c_9064,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,sK60(X1,X0,X2)) ),
inference(demodulation,[status(thm)],[c_252]) ).
cnf(c_9065,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ leq(sK60(X1,X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(demodulation,[status(thm)],[c_251]) ).
cnf(c_12008,plain,
( app(app(X0,cons(X1,nil)),X2) != sP2_iProver_def
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ssItem(sK60(X1,X0,X2)) ),
inference(light_normalisation,[status(thm)],[c_9061,c_9054]) ).
cnf(c_12019,plain,
( app(app(X0,cons(X1,nil)),X2) != sP2_iProver_def
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X0,sK60(X1,X0,X2)) ),
inference(light_normalisation,[status(thm)],[c_9062,c_9054]) ).
cnf(c_12030,plain,
( app(app(X0,cons(X1,nil)),X2) != sP2_iProver_def
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X2,sK60(X1,X0,X2)) ),
inference(light_normalisation,[status(thm)],[c_9063,c_9054]) ).
cnf(c_12041,plain,
( app(app(X0,cons(X1,nil)),X2) != sP2_iProver_def
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,sK60(X1,X0,X2)) ),
inference(light_normalisation,[status(thm)],[c_9064,c_9054]) ).
cnf(c_12052,plain,
( app(app(X0,cons(X1,nil)),X2) != sP2_iProver_def
| ~ leq(sK60(X1,X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(light_normalisation,[status(thm)],[c_9065,c_9054]) ).
cnf(c_12063,plain,
( app(app(X0,sP0_iProver_def),X1) != sP2_iProver_def
| ~ leq(sK60(sK57,X0,X1),sK57)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_9050,c_12052]) ).
cnf(c_12064,plain,
( app(app(X0,sP0_iProver_def),X1) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK57)
| leq(sK57,sK60(sK57,X0,X1)) ),
inference(superposition,[status(thm)],[c_9050,c_12041]) ).
cnf(c_12065,plain,
( app(app(X0,sP0_iProver_def),X1) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK57)
| memberP(X1,sK60(sK57,X0,X1)) ),
inference(superposition,[status(thm)],[c_9050,c_12030]) ).
cnf(c_12066,plain,
( app(app(X0,sP0_iProver_def),X1) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK57)
| memberP(X0,sK60(sK57,X0,X1)) ),
inference(superposition,[status(thm)],[c_9050,c_12019]) ).
cnf(c_12067,plain,
( app(app(X0,sP0_iProver_def),X1) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK57)
| ssItem(sK60(sK57,X0,X1)) ),
inference(superposition,[status(thm)],[c_9050,c_12008]) ).
cnf(c_12068,plain,
( app(app(X0,sP0_iProver_def),X1) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(X1)
| ssItem(sK60(sK57,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12067,c_9057]) ).
cnf(c_12073,plain,
( app(app(X0,sP0_iProver_def),X1) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X0,sK60(sK57,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12066,c_9057]) ).
cnf(c_12078,plain,
( app(app(X0,sP0_iProver_def),X1) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,sK60(sK57,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12065,c_9057]) ).
cnf(c_12083,plain,
( app(app(X0,sP0_iProver_def),X1) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(X1)
| leq(sK57,sK60(sK57,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12064,c_9057]) ).
cnf(c_12088,plain,
( app(app(X0,sP0_iProver_def),X1) != sP2_iProver_def
| ~ leq(sK60(sK57,X0,X1),sK57)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12063,c_9057]) ).
cnf(c_12165,plain,
( app(sP1_iProver_def,X0) != sP2_iProver_def
| ~ leq(sK60(sK57,sK58,X0),sK57)
| ~ ssList(X0)
| ~ ssList(sK58) ),
inference(superposition,[status(thm)],[c_9051,c_12088]) ).
cnf(c_12166,plain,
( app(sP1_iProver_def,X0) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(sK58)
| leq(sK57,sK60(sK57,sK58,X0)) ),
inference(superposition,[status(thm)],[c_9051,c_12083]) ).
cnf(c_12167,plain,
( app(sP1_iProver_def,X0) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(sK58)
| memberP(X0,sK60(sK57,sK58,X0)) ),
inference(superposition,[status(thm)],[c_9051,c_12078]) ).
cnf(c_12168,plain,
( app(sP1_iProver_def,X0) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(sK58)
| memberP(sK58,sK60(sK57,sK58,X0)) ),
inference(superposition,[status(thm)],[c_9051,c_12073]) ).
cnf(c_12169,plain,
( app(sP1_iProver_def,X0) != sP2_iProver_def
| ~ ssList(X0)
| ~ ssList(sK58)
| ssItem(sK60(sK57,sK58,X0)) ),
inference(superposition,[status(thm)],[c_9051,c_12068]) ).
cnf(c_12170,plain,
( app(sP1_iProver_def,X0) != sP2_iProver_def
| ~ ssList(X0)
| ssItem(sK60(sK57,sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12169,c_9056]) ).
cnf(c_12174,plain,
( app(sP1_iProver_def,X0) != sP2_iProver_def
| ~ ssList(X0)
| memberP(sK58,sK60(sK57,sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12168,c_9056]) ).
cnf(c_12178,plain,
( app(sP1_iProver_def,X0) != sP2_iProver_def
| ~ ssList(X0)
| memberP(X0,sK60(sK57,sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12167,c_9056]) ).
cnf(c_12182,plain,
( app(sP1_iProver_def,X0) != sP2_iProver_def
| ~ ssList(X0)
| leq(sK57,sK60(sK57,sK58,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12166,c_9056]) ).
cnf(c_12186,plain,
( app(sP1_iProver_def,X0) != sP2_iProver_def
| ~ leq(sK60(sK57,sK58,X0),sK57)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12165,c_9056]) ).
cnf(c_12269,plain,
( ~ leq(sK60(sK57,sK58,sK59),sK57)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_9052,c_12186]) ).
cnf(c_12270,plain,
( ~ ssList(sK59)
| leq(sK57,sK60(sK57,sK58,sK59)) ),
inference(superposition,[status(thm)],[c_9052,c_12182]) ).
cnf(c_12271,plain,
( ~ ssList(sK59)
| memberP(sK59,sK60(sK57,sK58,sK59)) ),
inference(superposition,[status(thm)],[c_9052,c_12178]) ).
cnf(c_12272,plain,
( ~ ssList(sK59)
| memberP(sK58,sK60(sK57,sK58,sK59)) ),
inference(superposition,[status(thm)],[c_9052,c_12174]) ).
cnf(c_12273,plain,
( ~ ssList(sK59)
| ssItem(sK60(sK57,sK58,sK59)) ),
inference(superposition,[status(thm)],[c_9052,c_12170]) ).
cnf(c_12274,plain,
ssItem(sK60(sK57,sK58,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_12273,c_9055]) ).
cnf(c_12275,plain,
memberP(sK58,sK60(sK57,sK58,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_12272,c_9055]) ).
cnf(c_12276,plain,
memberP(sK59,sK60(sK57,sK58,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_12271,c_9055]) ).
cnf(c_12277,plain,
leq(sK57,sK60(sK57,sK58,sK59)),
inference(forward_subsumption_resolution,[status(thm)],[c_12270,c_9055]) ).
cnf(c_12278,plain,
~ leq(sK60(sK57,sK58,sK59),sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_12269,c_9055]) ).
cnf(c_12299,plain,
( ~ memberP(sK58,sK60(sK57,sK58,sK59))
| ~ leq(sK57,sK60(sK57,sK58,sK59))
| ~ ssItem(sK60(sK57,sK58,sK59))
| leq(sK60(sK57,sK58,sK59),sK57) ),
inference(superposition,[status(thm)],[c_12276,c_9053]) ).
cnf(c_12300,plain,
( ~ leq(sK57,sK60(sK57,sK58,sK59))
| leq(sK60(sK57,sK58,sK59),sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12299,c_12274,c_12275]) ).
cnf(c_12303,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12300,c_12278,c_12277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC220+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 23:45:48 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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
% 3.83/1.11 % SZS status Started for theBenchmark.p
% 3.83/1.11 % SZS status Theorem for theBenchmark.p
% 3.83/1.11
% 3.83/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.83/1.11
% 3.83/1.11 ------ iProver source info
% 3.83/1.11
% 3.83/1.11 git: date: 2024-05-02 19:28:25 +0000
% 3.83/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.83/1.11 git: non_committed_changes: false
% 3.83/1.11
% 3.83/1.11 ------ Parsing...
% 3.83/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.83/1.11
% 3.83/1.11 ------ 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
% 3.83/1.11
% 3.83/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.83/1.11
% 3.83/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.83/1.11 ------ Proving...
% 3.83/1.11 ------ Problem Properties
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11 clauses 196
% 3.83/1.11 conjectures 13
% 3.83/1.11 EPR 57
% 3.83/1.11 Horn 128
% 3.83/1.11 unary 26
% 3.83/1.11 binary 40
% 3.83/1.11 lits 658
% 3.83/1.11 lits eq 88
% 3.83/1.11 fd_pure 0
% 3.83/1.11 fd_pseudo 0
% 3.83/1.11 fd_cond 21
% 3.83/1.11 fd_pseudo_cond 14
% 3.83/1.11 AC symbols 0
% 3.83/1.11
% 3.83/1.11 ------ Schedule dynamic 5 is on
% 3.83/1.11
% 3.83/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11 ------
% 3.83/1.11 Current options:
% 3.83/1.11 ------
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11 ------ Proving...
% 3.83/1.11
% 3.83/1.11
% 3.83/1.11 % SZS status Theorem for theBenchmark.p
% 3.83/1.11
% 3.83/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.83/1.11
% 3.83/1.11
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