TSTP Solution File: SWC412+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC412+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 : Mon Jun 24 16:25:33 EDT 2024
% Result : Theorem 57.88s 8.76s
% Output : CNFRefutation 57.88s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( ! [X16] :
( ssItem(X16)
=> ! [X17] :
( ssItem(X17)
=> ! [X18] :
( app(app(cons(X17,nil),X18),cons(X16,nil)) = X0
| app(app(cons(X16,nil),X18),cons(X17,nil)) != X1
| ~ ssList(X18) ) ) )
| ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssList(X15)
=> app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
| ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
& app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
& ssList(X12) )
& ssItem(X11) )
& ssItem(X10) ) )
& ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X3
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( ! [X16] :
( ssItem(X16)
=> ! [X17] :
( ssItem(X17)
=> ! [X18] :
( app(app(cons(X17,nil),X18),cons(X16,nil)) = X0
| app(app(cons(X16,nil),X18),cons(X17,nil)) != X1
| ~ ssList(X18) ) ) )
| ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssList(X15)
=> app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
| ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
& app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
& ssList(X12) )
& ssItem(X11) )
& ssItem(X10) ) )
& ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X3
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( app(app(cons(X5,nil),X6),cons(X4,nil)) = X0
| app(app(cons(X4,nil),X6),cons(X5,nil)) != X1
| ~ ssList(X6) ) ) )
| ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
| ? [X10] :
( ? [X11] :
( ? [X12] :
( app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
& app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
& ssList(X12) )
& ssItem(X11) )
& ssItem(X10) ) )
& ( ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssList(X15)
=> app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
| ? [X16] :
( ? [X17] :
( ? [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
& ssList(X18) )
& ssItem(X17) )
& ssItem(X16) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f124]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f194,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f193]) ).
fof(f202,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X5,nil),X6),cons(X4,nil)) != X0
& app(app(cons(X4,nil),X6),cons(X5,nil)) = X1
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X7] :
( ? [X8] :
( ? [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) = X1
& ssList(X9) )
& ssItem(X8) )
& ssItem(X7) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(app(cons(X10,nil),X12),cons(X11,nil)) != X3
| app(app(cons(X11,nil),X12),cons(X10,nil)) = X2
| ~ ssList(X12) )
| ~ ssItem(X11) )
| ~ ssItem(X10) ) )
| ( ? [X13] :
( ? [X14] :
( ? [X15] :
( app(app(cons(X13,nil),cons(X14,nil)),X15) = X1
& ssList(X15) )
& ssItem(X14) )
& ssItem(X13) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) != X3
| ~ ssList(X18) )
| ~ ssItem(X17) )
| ~ ssItem(X16) ) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f232,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X5,nil),X6),cons(X4,nil)) != X0
& app(app(cons(X4,nil),X6),cons(X5,nil)) = X1
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
| ~ sP6(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f233,plain,
! [X1,X0,X3,X2] :
( ( sP6(X0,X1)
& ? [X7] :
( ? [X8] :
( ? [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) = X1
& ssList(X9) )
& ssItem(X8) )
& ssItem(X7) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(app(cons(X10,nil),X12),cons(X11,nil)) != X3
| app(app(cons(X11,nil),X12),cons(X10,nil)) = X2
| ~ ssList(X12) )
| ~ ssItem(X11) )
| ~ ssItem(X10) ) )
| ~ sP7(X1,X0,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f234,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( sP7(X1,X0,X3,X2)
| ( ? [X13] :
( ? [X14] :
( ? [X15] :
( app(app(cons(X13,nil),cons(X14,nil)),X15) = X1
& ssList(X15) )
& ssItem(X14) )
& ssItem(X13) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( app(app(cons(X16,nil),cons(X17,nil)),X18) != X3
| ~ ssList(X18) )
| ~ ssItem(X17) )
| ~ ssItem(X16) ) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f222,f233,f232]) ).
fof(f320,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK51(X0)) = X0
& ssItem(X2) )
& ssList(sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f321,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK51(X0)) = X0
& ssItem(X2) )
=> ( cons(sK52(X0),sK51(X0)) = X0
& ssItem(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f322,plain,
! [X0] :
( ( cons(sK52(X0),sK51(X0)) = X0
& ssItem(sK52(X0))
& ssList(sK51(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52])],[f125,f321,f320]) ).
fof(f346,plain,
! [X1,X0,X3,X2] :
( ( sP6(X0,X1)
& ? [X7] :
( ? [X8] :
( ? [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) = X1
& ssList(X9) )
& ssItem(X8) )
& ssItem(X7) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(app(cons(X10,nil),X12),cons(X11,nil)) != X3
| app(app(cons(X11,nil),X12),cons(X10,nil)) = X2
| ~ ssList(X12) )
| ~ ssItem(X11) )
| ~ ssItem(X10) ) )
| ~ sP7(X1,X0,X3,X2) ),
inference(nnf_transformation,[],[f233]) ).
fof(f347,plain,
! [X0,X1,X2,X3] :
( ( sP6(X1,X0)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X0
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),X9),cons(X8,nil)) != X2
| app(app(cons(X8,nil),X9),cons(X7,nil)) = X3
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) )
| ~ sP7(X0,X1,X2,X3) ),
inference(rectify,[],[f346]) ).
fof(f348,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X0
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ? [X6] :
( app(app(cons(sK55(X0),nil),cons(X5,nil)),X6) = X0
& ssList(X6) )
& ssItem(X5) )
& ssItem(sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
! [X0] :
( ? [X5] :
( ? [X6] :
( app(app(cons(sK55(X0),nil),cons(X5,nil)),X6) = X0
& ssList(X6) )
& ssItem(X5) )
=> ( ? [X6] :
( app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),X6) = X0
& ssList(X6) )
& ssItem(sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
! [X0] :
( ? [X6] :
( app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),X6) = X0
& ssList(X6) )
=> ( app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),sK57(X0)) = X0
& ssList(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3] :
( ( sP6(X1,X0)
& app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),sK57(X0)) = X0
& ssList(sK57(X0))
& ssItem(sK56(X0))
& ssItem(sK55(X0))
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),X9),cons(X8,nil)) != X2
| app(app(cons(X8,nil),X9),cons(X7,nil)) = X3
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) )
| ~ sP7(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56,sK57])],[f347,f350,f349,f348]) ).
fof(f352,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X5,nil),X6),cons(X4,nil)) != X0
& app(app(cons(X4,nil),X6),cons(X5,nil)) = X1
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
| ~ sP6(X0,X1) ),
inference(nnf_transformation,[],[f232]) ).
fof(f353,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( app(app(cons(X3,nil),X4),cons(X2,nil)) != X0
& app(app(cons(X2,nil),X4),cons(X3,nil)) = X1
& ssList(X4) )
& ssItem(X3) )
& ssItem(X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f352]) ).
fof(f354,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( app(app(cons(X3,nil),X4),cons(X2,nil)) != X0
& app(app(cons(X2,nil),X4),cons(X3,nil)) = X1
& ssList(X4) )
& ssItem(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( app(app(cons(X3,nil),X4),cons(sK58(X0,X1),nil)) != X0
& app(app(cons(sK58(X0,X1),nil),X4),cons(X3,nil)) = X1
& ssList(X4) )
& ssItem(X3) )
& ssItem(sK58(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f355,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( app(app(cons(X3,nil),X4),cons(sK58(X0,X1),nil)) != X0
& app(app(cons(sK58(X0,X1),nil),X4),cons(X3,nil)) = X1
& ssList(X4) )
& ssItem(X3) )
=> ( ? [X4] :
( app(app(cons(sK59(X0,X1),nil),X4),cons(sK58(X0,X1),nil)) != X0
& app(app(cons(sK58(X0,X1),nil),X4),cons(sK59(X0,X1),nil)) = X1
& ssList(X4) )
& ssItem(sK59(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f356,plain,
! [X0,X1] :
( ? [X4] :
( app(app(cons(sK59(X0,X1),nil),X4),cons(sK58(X0,X1),nil)) != X0
& app(app(cons(sK58(X0,X1),nil),X4),cons(sK59(X0,X1),nil)) = X1
& ssList(X4) )
=> ( app(app(cons(sK59(X0,X1),nil),sK60(X0,X1)),cons(sK58(X0,X1),nil)) != X0
& app(app(cons(sK58(X0,X1),nil),sK60(X0,X1)),cons(sK59(X0,X1),nil)) = X1
& ssList(sK60(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f357,plain,
! [X0,X1] :
( ( app(app(cons(sK59(X0,X1),nil),sK60(X0,X1)),cons(sK58(X0,X1),nil)) != X0
& app(app(cons(sK58(X0,X1),nil),sK60(X0,X1)),cons(sK59(X0,X1),nil)) = X1
& ssList(sK60(X0,X1))
& ssItem(sK59(X0,X1))
& ssItem(sK58(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58,sK59,sK60])],[f353,f356,f355,f354]) ).
fof(f358,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( sP7(X1,X0,X3,X2)
| ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(rectify,[],[f234]) ).
fof(f359,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( sP7(X1,X0,X3,X2)
| ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( sP7(X1,sK61,X3,X2)
| ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) ) )
& sK61 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK61) ) ),
introduced(choice_axiom,[]) ).
fof(f360,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( sP7(X1,sK61,X3,X2)
| ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) ) )
& sK61 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( sP7(sK62,sK61,X3,X2)
| ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) ) )
& sK61 = X2
& sK62 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK62) ) ),
introduced(choice_axiom,[]) ).
fof(f361,plain,
( ? [X2] :
( ? [X3] :
( ( sP7(sK62,sK61,X3,X2)
| ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) ) )
& sK61 = X2
& sK62 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( sP7(sK62,sK61,X3,sK63)
| ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) ) )
& sK61 = sK63
& sK62 = X3
& ssList(X3) )
& ssList(sK63) ) ),
introduced(choice_axiom,[]) ).
fof(f362,plain,
( ? [X3] :
( ( sP7(sK62,sK61,X3,sK63)
| ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) ) )
& sK61 = sK63
& sK62 = X3
& ssList(X3) )
=> ( ( sP7(sK62,sK61,sK64,sK63)
| ( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != sK64
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) ) )
& sK61 = sK63
& sK62 = sK64
& ssList(sK64) ) ),
introduced(choice_axiom,[]) ).
fof(f363,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ? [X6] :
( sK62 = app(app(cons(sK65,nil),cons(X5,nil)),X6)
& ssList(X6) )
& ssItem(X5) )
& ssItem(sK65) ) ),
introduced(choice_axiom,[]) ).
fof(f364,plain,
( ? [X5] :
( ? [X6] :
( sK62 = app(app(cons(sK65,nil),cons(X5,nil)),X6)
& ssList(X6) )
& ssItem(X5) )
=> ( ? [X6] :
( sK62 = app(app(cons(sK65,nil),cons(sK66,nil)),X6)
& ssList(X6) )
& ssItem(sK66) ) ),
introduced(choice_axiom,[]) ).
fof(f365,plain,
( ? [X6] :
( sK62 = app(app(cons(sK65,nil),cons(sK66,nil)),X6)
& ssList(X6) )
=> ( sK62 = app(app(cons(sK65,nil),cons(sK66,nil)),sK67)
& ssList(sK67) ) ),
introduced(choice_axiom,[]) ).
fof(f366,plain,
( ( sP7(sK62,sK61,sK64,sK63)
| ( sK62 = app(app(cons(sK65,nil),cons(sK66,nil)),sK67)
& ssList(sK67)
& ssItem(sK66)
& ssItem(sK65)
& ! [X7] :
( ! [X8] :
( ! [X9] :
( app(app(cons(X7,nil),cons(X8,nil)),X9) != sK64
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssItem(X7) ) ) )
& sK61 = sK63
& sK62 = sK64
& ssList(sK64)
& ssList(sK63)
& ssList(sK62)
& ssList(sK61) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61,sK62,sK63,sK64,sK65,sK66,sK67])],[f358,f365,f364,f363,f362,f361,f360,f359]) ).
fof(f465,plain,
! [X0] :
( cons(sK52(X0),sK51(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f544,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f552,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f566,plain,
! [X2,X3,X0,X1,X8,X9,X7] :
( app(app(cons(X7,nil),X9),cons(X8,nil)) != X2
| app(app(cons(X8,nil),X9),cons(X7,nil)) = X3
| ~ ssList(X9)
| ~ ssItem(X8)
| ~ ssItem(X7)
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f351]) ).
fof(f567,plain,
! [X2,X3,X0,X1] :
( ssItem(sK55(X0))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f351]) ).
fof(f568,plain,
! [X2,X3,X0,X1] :
( ssItem(sK56(X0))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f351]) ).
fof(f569,plain,
! [X2,X3,X0,X1] :
( ssList(sK57(X0))
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f351]) ).
fof(f570,plain,
! [X2,X3,X0,X1] :
( app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),sK57(X0)) = X0
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f351]) ).
fof(f571,plain,
! [X2,X3,X0,X1] :
( sP6(X1,X0)
| ~ sP7(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f351]) ).
fof(f572,plain,
! [X0,X1] :
( ssItem(sK58(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f357]) ).
fof(f573,plain,
! [X0,X1] :
( ssItem(sK59(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f357]) ).
fof(f574,plain,
! [X0,X1] :
( ssList(sK60(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f357]) ).
fof(f575,plain,
! [X0,X1] :
( app(app(cons(sK58(X0,X1),nil),sK60(X0,X1)),cons(sK59(X0,X1),nil)) = X1
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f357]) ).
fof(f576,plain,
! [X0,X1] :
( app(app(cons(sK59(X0,X1),nil),sK60(X0,X1)),cons(sK58(X0,X1),nil)) != X0
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f357]) ).
fof(f577,plain,
ssList(sK61),
inference(cnf_transformation,[],[f366]) ).
fof(f581,plain,
sK62 = sK64,
inference(cnf_transformation,[],[f366]) ).
fof(f582,plain,
sK61 = sK63,
inference(cnf_transformation,[],[f366]) ).
fof(f583,plain,
! [X8,X9,X7] :
( sP7(sK62,sK61,sK64,sK63)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK64
| ~ ssList(X9)
| ~ ssItem(X8)
| ~ ssItem(X7) ),
inference(cnf_transformation,[],[f366]) ).
fof(f584,plain,
( sP7(sK62,sK61,sK64,sK63)
| ssItem(sK65) ),
inference(cnf_transformation,[],[f366]) ).
fof(f585,plain,
( sP7(sK62,sK61,sK64,sK63)
| ssItem(sK66) ),
inference(cnf_transformation,[],[f366]) ).
fof(f586,plain,
( sP7(sK62,sK61,sK64,sK63)
| ssList(sK67) ),
inference(cnf_transformation,[],[f366]) ).
fof(f587,plain,
( sP7(sK62,sK61,sK64,sK63)
| sK62 = app(app(cons(sK65,nil),cons(sK66,nil)),sK67) ),
inference(cnf_transformation,[],[f366]) ).
fof(f588,plain,
( sP7(sK64,sK63,sK64,sK63)
| sK64 = app(app(cons(sK65,nil),cons(sK66,nil)),sK67) ),
inference(definition_unfolding,[],[f587,f581,f582,f581]) ).
fof(f589,plain,
( sP7(sK64,sK63,sK64,sK63)
| ssList(sK67) ),
inference(definition_unfolding,[],[f586,f581,f582]) ).
fof(f590,plain,
( sP7(sK64,sK63,sK64,sK63)
| ssItem(sK66) ),
inference(definition_unfolding,[],[f585,f581,f582]) ).
fof(f591,plain,
( sP7(sK64,sK63,sK64,sK63)
| ssItem(sK65) ),
inference(definition_unfolding,[],[f584,f581,f582]) ).
fof(f592,plain,
! [X8,X9,X7] :
( sP7(sK64,sK63,sK64,sK63)
| app(app(cons(X7,nil),cons(X8,nil)),X9) != sK64
| ~ ssList(X9)
| ~ ssItem(X8)
| ~ ssItem(X7) ),
inference(definition_unfolding,[],[f583,f581,f582]) ).
fof(f594,plain,
ssList(sK63),
inference(definition_unfolding,[],[f577,f582]) ).
fof(f622,plain,
! [X3,X0,X1,X8,X9,X7] :
( app(app(cons(X8,nil),X9),cons(X7,nil)) = X3
| ~ ssList(X9)
| ~ ssItem(X8)
| ~ ssItem(X7)
| ~ sP7(X0,X1,app(app(cons(X7,nil),X9),cons(X8,nil)),X3) ),
inference(equality_resolution,[],[f566]) ).
cnf(c_145,plain,
( ~ ssList(X0)
| cons(sK52(X0),sK51(X0)) = X0
| X0 = nil ),
inference(cnf_transformation,[],[f465]) ).
cnf(c_224,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
inference(cnf_transformation,[],[f544]) ).
cnf(c_232,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f552]) ).
cnf(c_246,plain,
( ~ sP7(X0,X1,X2,X3)
| sP6(X1,X0) ),
inference(cnf_transformation,[],[f571]) ).
cnf(c_247,plain,
( ~ sP7(X0,X1,X2,X3)
| app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),sK57(X0)) = X0 ),
inference(cnf_transformation,[],[f570]) ).
cnf(c_248,plain,
( ~ sP7(X0,X1,X2,X3)
| ssList(sK57(X0)) ),
inference(cnf_transformation,[],[f569]) ).
cnf(c_249,plain,
( ~ sP7(X0,X1,X2,X3)
| ssItem(sK56(X0)) ),
inference(cnf_transformation,[],[f568]) ).
cnf(c_250,plain,
( ~ sP7(X0,X1,X2,X3)
| ssItem(sK55(X0)) ),
inference(cnf_transformation,[],[f567]) ).
cnf(c_251,plain,
( ~ sP7(X0,X1,app(app(cons(X2,nil),X3),cons(X4,nil)),X5)
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ ssList(X3)
| app(app(cons(X4,nil),X3),cons(X2,nil)) = X5 ),
inference(cnf_transformation,[],[f622]) ).
cnf(c_252,plain,
( app(app(cons(sK59(X0,X1),nil),sK60(X0,X1)),cons(sK58(X0,X1),nil)) != X0
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f576]) ).
cnf(c_253,plain,
( ~ sP6(X0,X1)
| app(app(cons(sK58(X0,X1),nil),sK60(X0,X1)),cons(sK59(X0,X1),nil)) = X1 ),
inference(cnf_transformation,[],[f575]) ).
cnf(c_254,plain,
( ~ sP6(X0,X1)
| ssList(sK60(X0,X1)) ),
inference(cnf_transformation,[],[f574]) ).
cnf(c_255,plain,
( ~ sP6(X0,X1)
| ssItem(sK59(X0,X1)) ),
inference(cnf_transformation,[],[f573]) ).
cnf(c_256,plain,
( ~ sP6(X0,X1)
| ssItem(sK58(X0,X1)) ),
inference(cnf_transformation,[],[f572]) ).
cnf(c_257,negated_conjecture,
( app(app(cons(sK65,nil),cons(sK66,nil)),sK67) = sK64
| sP7(sK64,sK63,sK64,sK63) ),
inference(cnf_transformation,[],[f588]) ).
cnf(c_258,negated_conjecture,
( sP7(sK64,sK63,sK64,sK63)
| ssList(sK67) ),
inference(cnf_transformation,[],[f589]) ).
cnf(c_259,negated_conjecture,
( sP7(sK64,sK63,sK64,sK63)
| ssItem(sK66) ),
inference(cnf_transformation,[],[f590]) ).
cnf(c_260,negated_conjecture,
( sP7(sK64,sK63,sK64,sK63)
| ssItem(sK65) ),
inference(cnf_transformation,[],[f591]) ).
cnf(c_261,negated_conjecture,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sK64
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| sP7(sK64,sK63,sK64,sK63) ),
inference(cnf_transformation,[],[f592]) ).
cnf(c_265,negated_conjecture,
ssList(sK63),
inference(cnf_transformation,[],[f594]) ).
cnf(c_5011,plain,
( X0 != sK64
| X1 != sK63
| X2 != sK64
| X3 != sK63
| ssItem(sK55(X0))
| ssList(sK67) ),
inference(resolution_lifted,[status(thm)],[c_250,c_258]) ).
cnf(c_5012,plain,
( ssItem(sK55(sK64))
| ssList(sK67) ),
inference(unflattening,[status(thm)],[c_5011]) ).
cnf(c_5061,plain,
( X0 != sK64
| X1 != sK63
| X2 != sK64
| X3 != sK63
| ssItem(sK56(X0))
| ssList(sK67) ),
inference(resolution_lifted,[status(thm)],[c_249,c_258]) ).
cnf(c_5062,plain,
( ssItem(sK56(sK64))
| ssList(sK67) ),
inference(unflattening,[status(thm)],[c_5061]) ).
cnf(c_5111,plain,
( X0 != sK64
| X1 != sK63
| X2 != sK64
| X3 != sK63
| ssList(sK57(X0))
| ssList(sK67) ),
inference(resolution_lifted,[status(thm)],[c_248,c_258]) ).
cnf(c_5112,plain,
( ssList(sK57(sK64))
| ssList(sK67) ),
inference(unflattening,[status(thm)],[c_5111]) ).
cnf(c_5211,plain,
( X0 != sK64
| X1 != sK63
| X2 != sK64
| X3 != sK63
| sP6(X1,X0)
| ssList(sK67) ),
inference(resolution_lifted,[status(thm)],[c_246,c_258]) ).
cnf(c_5212,plain,
( sP6(sK63,sK64)
| ssList(sK67) ),
inference(unflattening,[status(thm)],[c_5211]) ).
cnf(c_10128,negated_conjecture,
ssList(sK63),
inference(subtyping,[status(esa)],[c_265]) ).
cnf(c_10130,negated_conjecture,
( app(app(cons(X0_14,nil),cons(X1_14,nil)),X0_13) != sK64
| ~ ssItem(X0_14)
| ~ ssItem(X1_14)
| ~ ssList(X0_13)
| sP7(sK64,sK63,sK64,sK63) ),
inference(subtyping,[status(esa)],[c_261]) ).
cnf(c_10131,negated_conjecture,
( sP7(sK64,sK63,sK64,sK63)
| ssItem(sK65) ),
inference(subtyping,[status(esa)],[c_260]) ).
cnf(c_10133,negated_conjecture,
( sP7(sK64,sK63,sK64,sK63)
| ssList(sK67) ),
inference(subtyping,[status(esa)],[c_258]) ).
cnf(c_10134,negated_conjecture,
( app(app(cons(sK65,nil),cons(sK66,nil)),sK67) = sK64
| sP7(sK64,sK63,sK64,sK63) ),
inference(subtyping,[status(esa)],[c_257]) ).
cnf(c_10135,plain,
( ~ sP6(X0_13,X1_13)
| ssItem(sK58(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_256]) ).
cnf(c_10136,plain,
( ~ sP6(X0_13,X1_13)
| ssItem(sK59(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_255]) ).
cnf(c_10137,plain,
( ~ sP6(X0_13,X1_13)
| ssList(sK60(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_254]) ).
cnf(c_10138,plain,
( ~ sP6(X0_13,X1_13)
| app(app(cons(sK58(X0_13,X1_13),nil),sK60(X0_13,X1_13)),cons(sK59(X0_13,X1_13),nil)) = X1_13 ),
inference(subtyping,[status(esa)],[c_253]) ).
cnf(c_10139,plain,
( app(app(cons(sK59(X0_13,X1_13),nil),sK60(X0_13,X1_13)),cons(sK58(X0_13,X1_13),nil)) != X0_13
| ~ sP6(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_252]) ).
cnf(c_10140,plain,
( ~ sP7(X0_13,X1_13,app(app(cons(X0_14,nil),X2_13),cons(X1_14,nil)),X3_13)
| ~ ssItem(X0_14)
| ~ ssItem(X1_14)
| ~ ssList(X2_13)
| app(app(cons(X1_14,nil),X2_13),cons(X0_14,nil)) = X3_13 ),
inference(subtyping,[status(esa)],[c_251]) ).
cnf(c_10141,plain,
( ~ sP7(X0_13,X1_13,X2_13,X3_13)
| ssItem(sK55(X0_13)) ),
inference(subtyping,[status(esa)],[c_250]) ).
cnf(c_10142,plain,
( ~ sP7(X0_13,X1_13,X2_13,X3_13)
| ssItem(sK56(X0_13)) ),
inference(subtyping,[status(esa)],[c_249]) ).
cnf(c_10143,plain,
( ~ sP7(X0_13,X1_13,X2_13,X3_13)
| ssList(sK57(X0_13)) ),
inference(subtyping,[status(esa)],[c_248]) ).
cnf(c_10144,plain,
( ~ sP7(X0_13,X1_13,X2_13,X3_13)
| app(app(cons(sK55(X0_13),nil),cons(sK56(X0_13),nil)),sK57(X0_13)) = X0_13 ),
inference(subtyping,[status(esa)],[c_247]) ).
cnf(c_10145,plain,
( ~ sP7(X0_13,X1_13,X2_13,X3_13)
| sP6(X1_13,X0_13) ),
inference(subtyping,[status(esa)],[c_246]) ).
cnf(c_10157,plain,
( ~ ssList(X0_13)
| app(X0_13,nil) = X0_13 ),
inference(subtyping,[status(esa)],[c_232]) ).
cnf(c_10164,plain,
( ~ ssList(X0_13)
| cons(hd(X0_13),tl(X0_13)) = X0_13
| X0_13 = nil ),
inference(subtyping,[status(esa)],[c_224]) ).
cnf(c_10232,plain,
( ~ ssList(X0_13)
| cons(sK52(X0_13),sK51(X0_13)) = X0_13
| X0_13 = nil ),
inference(subtyping,[status(esa)],[c_145]) ).
cnf(c_10314,plain,
cons(sK65,nil) = sP0_iProver_def,
definition ).
cnf(c_10315,plain,
cons(sK66,nil) = sP1_iProver_def,
definition ).
cnf(c_10316,plain,
app(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_10317,plain,
app(sP2_iProver_def,sK67) = sP3_iProver_def,
definition ).
cnf(c_10318,negated_conjecture,
( sP3_iProver_def = sK64
| sP7(sK64,sK63,sK64,sK63) ),
inference(demodulation,[status(thm)],[c_10134,c_10315,c_10314,c_10316,c_10317]) ).
cnf(c_10319,negated_conjecture,
( sP7(sK64,sK63,sK64,sK63)
| ssList(sK67) ),
inference(demodulation,[status(thm)],[c_10133]) ).
cnf(c_10321,negated_conjecture,
( sP7(sK64,sK63,sK64,sK63)
| ssItem(sK65) ),
inference(demodulation,[status(thm)],[c_10131]) ).
cnf(c_10322,negated_conjecture,
( app(app(cons(X0_14,nil),cons(X1_14,nil)),X0_13) != sK64
| ~ ssItem(X0_14)
| ~ ssItem(X1_14)
| ~ ssList(X0_13)
| sP7(sK64,sK63,sK64,sK63) ),
inference(demodulation,[status(thm)],[c_10130]) ).
cnf(c_10324,negated_conjecture,
ssList(sK63),
inference(demodulation,[status(thm)],[c_10128]) ).
cnf(c_10326,plain,
X0_13 = X0_13,
theory(equality) ).
cnf(c_10328,plain,
( X0_13 != X1_13
| X2_13 != X1_13
| X2_13 = X0_13 ),
theory(equality) ).
cnf(c_10350,plain,
( X0_13 != X1_13
| X2_13 != X3_13
| X4_13 != X5_13
| X6_13 != X7_13
| ~ sP7(X1_13,X3_13,X5_13,X7_13)
| sP7(X0_13,X2_13,X4_13,X6_13) ),
theory(equality) ).
cnf(c_13397,plain,
( ~ sP7(sK64,sK63,sK64,sK63)
| ssItem(sK55(sK64)) ),
inference(instantiation,[status(thm)],[c_10141]) ).
cnf(c_13398,plain,
( ~ sP7(sK64,sK63,sK64,sK63)
| ssItem(sK56(sK64)) ),
inference(instantiation,[status(thm)],[c_10142]) ).
cnf(c_13399,plain,
( ~ sP7(sK64,sK63,sK64,sK63)
| ssList(sK57(sK64)) ),
inference(instantiation,[status(thm)],[c_10143]) ).
cnf(c_13421,plain,
( ~ sP7(sK64,sK63,sK64,sK63)
| sP6(sK63,sK64) ),
inference(instantiation,[status(thm)],[c_10145]) ).
cnf(c_13430,plain,
( ~ sP7(sK64,sK63,sK64,sK63)
| app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) = sK64 ),
inference(instantiation,[status(thm)],[c_10144]) ).
cnf(c_13431,plain,
( X0_13 != sK64
| X1_13 != sK63
| X2_13 != sK64
| X3_13 != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(X0_13,X1_13,X2_13,X3_13) ),
inference(instantiation,[status(thm)],[c_10350]) ).
cnf(c_13546,plain,
( app(app(sP0_iProver_def,cons(X0_14,nil)),X0_13) != sK64
| ~ ssItem(X0_14)
| ~ ssList(X0_13)
| ~ ssItem(sK65)
| sP7(sK64,sK63,sK64,sK63) ),
inference(superposition,[status(thm)],[c_10314,c_10322]) ).
cnf(c_13591,plain,
( ~ ssList(X0_13)
| ~ ssItem(X0_14)
| app(app(sP0_iProver_def,cons(X0_14,nil)),X0_13) != sK64
| sP7(sK64,sK63,sK64,sK63) ),
inference(global_subsumption_just,[status(thm)],[c_13546,c_260,c_13546]) ).
cnf(c_13592,plain,
( app(app(sP0_iProver_def,cons(X0_14,nil)),X0_13) != sK64
| ~ ssItem(X0_14)
| ~ ssList(X0_13)
| sP7(sK64,sK63,sK64,sK63) ),
inference(renaming,[status(thm)],[c_13591]) ).
cnf(c_13598,plain,
( app(app(sP0_iProver_def,sP1_iProver_def),X0_13) != sK64
| ~ ssList(X0_13)
| ~ ssItem(sK66)
| sP7(sK64,sK63,sK64,sK63) ),
inference(superposition,[status(thm)],[c_10315,c_13592]) ).
cnf(c_13637,plain,
( ~ ssList(X0_13)
| app(app(sP0_iProver_def,sP1_iProver_def),X0_13) != sK64
| sP7(sK64,sK63,sK64,sK63) ),
inference(global_subsumption_just,[status(thm)],[c_13598,c_259,c_13598]) ).
cnf(c_13638,plain,
( app(app(sP0_iProver_def,sP1_iProver_def),X0_13) != sK64
| ~ ssList(X0_13)
| sP7(sK64,sK63,sK64,sK63) ),
inference(renaming,[status(thm)],[c_13637]) ).
cnf(c_13640,plain,
( app(sP2_iProver_def,X0_13) != sK64
| ~ ssList(X0_13)
| sP7(sK64,sK63,sK64,sK63) ),
inference(light_normalisation,[status(thm)],[c_13638,c_10316]) ).
cnf(c_13647,plain,
( sK64 != sP3_iProver_def
| ~ ssList(sK67)
| sP7(sK64,sK63,sK64,sK63) ),
inference(superposition,[status(thm)],[c_10317,c_13640]) ).
cnf(c_13654,plain,
( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != sK63
| ~ sP6(sK63,sK64) ),
inference(instantiation,[status(thm)],[c_10139]) ).
cnf(c_13655,plain,
( ~ sP6(sK63,sK64)
| app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) = sK64 ),
inference(instantiation,[status(thm)],[c_10138]) ).
cnf(c_13656,plain,
( ~ sP6(sK63,sK64)
| ssList(sK60(sK63,sK64)) ),
inference(instantiation,[status(thm)],[c_10137]) ).
cnf(c_13657,plain,
( ~ sP6(sK63,sK64)
| ssItem(sK59(sK63,sK64)) ),
inference(instantiation,[status(thm)],[c_10136]) ).
cnf(c_13658,plain,
( ~ sP6(sK63,sK64)
| ssItem(sK58(sK63,sK64)) ),
inference(instantiation,[status(thm)],[c_10135]) ).
cnf(c_13894,plain,
( sK64 = sP3_iProver_def
| ssItem(sK55(sK64)) ),
inference(superposition,[status(thm)],[c_10318,c_10141]) ).
cnf(c_13895,plain,
( ssItem(sK55(sK64))
| ssItem(sK65) ),
inference(superposition,[status(thm)],[c_10321,c_10141]) ).
cnf(c_13900,plain,
( sK64 = sP3_iProver_def
| ssItem(sK56(sK64)) ),
inference(superposition,[status(thm)],[c_10318,c_10142]) ).
cnf(c_13901,plain,
( ssItem(sK56(sK64))
| ssItem(sK65) ),
inference(superposition,[status(thm)],[c_10321,c_10142]) ).
cnf(c_13906,plain,
( sK64 = sP3_iProver_def
| ssList(sK57(sK64)) ),
inference(superposition,[status(thm)],[c_10318,c_10143]) ).
cnf(c_13907,plain,
( ssList(sK57(sK64))
| ssItem(sK65) ),
inference(superposition,[status(thm)],[c_10321,c_10143]) ).
cnf(c_13912,plain,
( sK64 = sP3_iProver_def
| sP6(sK63,sK64) ),
inference(superposition,[status(thm)],[c_10318,c_10145]) ).
cnf(c_13913,plain,
( sP6(sK63,sK64)
| ssItem(sK65) ),
inference(superposition,[status(thm)],[c_10321,c_10145]) ).
cnf(c_13920,plain,
app(sK63,nil) = sK63,
inference(superposition,[status(thm)],[c_10324,c_10157]) ).
cnf(c_14042,plain,
ssItem(sK55(sK64)),
inference(global_subsumption_just,[status(thm)],[c_13895,c_5012,c_13397,c_13647,c_13894]) ).
cnf(c_14044,plain,
ssItem(sK56(sK64)),
inference(global_subsumption_just,[status(thm)],[c_13901,c_5062,c_13398,c_13647,c_13900]) ).
cnf(c_14046,plain,
ssList(sK57(sK64)),
inference(global_subsumption_just,[status(thm)],[c_13907,c_5112,c_13399,c_13647,c_13906]) ).
cnf(c_14049,plain,
sP6(sK63,sK64),
inference(global_subsumption_just,[status(thm)],[c_13913,c_5212,c_13421,c_13647,c_13912]) ).
cnf(c_14582,plain,
( app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) != sK64
| ~ ssItem(sK55(sK64))
| ~ ssItem(sK56(sK64))
| ~ ssList(sK57(sK64))
| sP7(sK64,sK63,sK64,sK63) ),
inference(instantiation,[status(thm)],[c_10322]) ).
cnf(c_14614,plain,
sK63 = sK63,
inference(instantiation,[status(thm)],[c_10326]) ).
cnf(c_14616,plain,
( X0_13 != X1_13
| sK63 != X1_13
| X0_13 = sK63 ),
inference(instantiation,[status(thm)],[c_10328]) ).
cnf(c_17015,plain,
( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != X0_13
| sK63 != X0_13
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = sK63 ),
inference(instantiation,[status(thm)],[c_14616]) ).
cnf(c_17016,plain,
( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != nil
| sK63 != nil
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = sK63 ),
inference(instantiation,[status(thm)],[c_17015]) ).
cnf(c_17332,plain,
( ~ ssList(sK63)
| cons(hd(sK63),tl(sK63)) = sK63
| sK63 = nil ),
inference(instantiation,[status(thm)],[c_10164]) ).
cnf(c_21901,plain,
( cons(hd(sK63),tl(sK63)) = sK63
| nil = sK63 ),
inference(superposition,[status(thm)],[c_10324,c_10164]) ).
cnf(c_22147,plain,
( cons(sK52(sK63),sK51(sK63)) = sK63
| nil = sK63 ),
inference(superposition,[status(thm)],[c_10324,c_10232]) ).
cnf(c_31644,plain,
( app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) = sK64
| sK64 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_10318,c_10144]) ).
cnf(c_31645,plain,
( app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) = sK64
| ssItem(sK65) ),
inference(superposition,[status(thm)],[c_10321,c_10144]) ).
cnf(c_31647,plain,
( app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) = sK64
| ssList(sK67) ),
inference(superposition,[status(thm)],[c_10319,c_10144]) ).
cnf(c_32487,plain,
( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
| X0_13 != sK64
| X1_13 != sK63
| X2_13 != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(X0_13,X1_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X2_13) ),
inference(instantiation,[status(thm)],[c_13431]) ).
cnf(c_39636,plain,
( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
| X0_13 != sK63
| X1_13 != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X1_13) ),
inference(instantiation,[status(thm)],[c_32487]) ).
cnf(c_39637,plain,
( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
| nil != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil) ),
inference(instantiation,[status(thm)],[c_39636]) ).
cnf(c_46756,plain,
app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) = sK64,
inference(global_subsumption_just,[status(thm)],[c_31645,c_13430,c_13647,c_31647,c_31644]) ).
cnf(c_73681,plain,
( X0_13 != sK64
| X1_13 != sK63
| X2_13 != sK64
| X3_13 != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(X0_13,X1_13,X2_13,X3_13) ),
inference(instantiation,[status(thm)],[c_10350]) ).
cnf(c_73763,plain,
( X0_13 != X1_13
| sK63 != X1_13
| X0_13 = sK63 ),
inference(instantiation,[status(thm)],[c_10328]) ).
cnf(c_73976,plain,
( cons(X0_14,X0_13) != X1_13
| X2_13 != X1_13
| X2_13 = cons(X0_14,X0_13) ),
inference(instantiation,[status(thm)],[c_10328]) ).
cnf(c_78133,plain,
( cons(sK52(sK63),sK51(sK63)) != sK63
| X0_13 != sK64
| X1_13 != sK63
| X2_13 != sK64
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(X0_13,X1_13,X2_13,cons(sK52(sK63),sK51(sK63))) ),
inference(instantiation,[status(thm)],[c_73681]) ).
cnf(c_78137,plain,
( cons(sK52(sK63),sK51(sK63)) != sK63
| X0_13 != sK63
| X0_13 = cons(sK52(sK63),sK51(sK63)) ),
inference(instantiation,[status(thm)],[c_73976]) ).
cnf(c_78156,plain,
( cons(hd(sK63),tl(sK63)) != sK63
| X0_13 != sK64
| X1_13 != sK63
| X2_13 != sK64
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(X0_13,X1_13,X2_13,cons(hd(sK63),tl(sK63))) ),
inference(instantiation,[status(thm)],[c_73681]) ).
cnf(c_78160,plain,
( cons(hd(sK63),tl(sK63)) != sK63
| X0_13 != sK63
| X0_13 = cons(hd(sK63),tl(sK63)) ),
inference(instantiation,[status(thm)],[c_73976]) ).
cnf(c_78490,plain,
( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != X0_13
| sK63 != X0_13
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = sK63 ),
inference(instantiation,[status(thm)],[c_73763]) ).
cnf(c_81333,plain,
( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
| cons(sK52(sK63),sK51(sK63)) != sK63
| X0_13 != sK64
| X1_13 != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(X0_13,X1_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(sK52(sK63),sK51(sK63))) ),
inference(instantiation,[status(thm)],[c_78133]) ).
cnf(c_81369,plain,
( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
| cons(hd(sK63),tl(sK63)) != sK63
| X0_13 != sK64
| X1_13 != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(X0_13,X1_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(hd(sK63),tl(sK63))) ),
inference(instantiation,[status(thm)],[c_78156]) ).
cnf(c_83914,plain,
( cons(sK52(sK63),sK51(sK63)) != sK63
| sK63 != sK63
| sK63 = cons(sK52(sK63),sK51(sK63)) ),
inference(instantiation,[status(thm)],[c_78137]) ).
cnf(c_84029,plain,
( cons(hd(sK63),tl(sK63)) != sK63
| sK63 != sK63
| sK63 = cons(hd(sK63),tl(sK63)) ),
inference(instantiation,[status(thm)],[c_78160]) ).
cnf(c_85962,plain,
( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != cons(sK52(sK63),sK51(sK63))
| sK63 != cons(sK52(sK63),sK51(sK63))
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = sK63 ),
inference(instantiation,[status(thm)],[c_78490]) ).
cnf(c_86059,plain,
( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != cons(hd(sK63),tl(sK63))
| sK63 != cons(hd(sK63),tl(sK63))
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = sK63 ),
inference(instantiation,[status(thm)],[c_78490]) ).
cnf(c_86778,plain,
( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
| cons(sK52(sK63),sK51(sK63)) != sK63
| X0_13 != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(sK52(sK63),sK51(sK63))) ),
inference(instantiation,[status(thm)],[c_81333]) ).
cnf(c_86817,plain,
( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
| cons(hd(sK63),tl(sK63)) != sK63
| X0_13 != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(hd(sK63),tl(sK63))) ),
inference(instantiation,[status(thm)],[c_81369]) ).
cnf(c_86818,plain,
( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
| cons(hd(sK63),tl(sK63)) != sK63
| nil != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(hd(sK63),tl(sK63))) ),
inference(instantiation,[status(thm)],[c_86817]) ).
cnf(c_90171,plain,
( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(sK52(sK63),sK51(sK63)))
| ~ ssItem(sK59(sK63,sK64))
| ~ ssItem(sK58(sK63,sK64))
| ~ ssList(sK60(sK63,sK64))
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = cons(sK52(sK63),sK51(sK63)) ),
inference(instantiation,[status(thm)],[c_10140]) ).
cnf(c_90179,plain,
( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(hd(sK63),tl(sK63)))
| ~ ssItem(sK59(sK63,sK64))
| ~ ssItem(sK58(sK63,sK64))
| ~ ssList(sK60(sK63,sK64))
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = cons(hd(sK63),tl(sK63)) ),
inference(instantiation,[status(thm)],[c_10140]) ).
cnf(c_90180,plain,
( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(hd(sK63),tl(sK63)))
| ~ ssItem(sK59(sK63,sK64))
| ~ ssItem(sK58(sK63,sK64))
| ~ ssList(sK60(sK63,sK64))
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = cons(hd(sK63),tl(sK63)) ),
inference(instantiation,[status(thm)],[c_90179]) ).
cnf(c_90633,plain,
( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X1_13)
| ~ ssItem(sK59(sK63,sK64))
| ~ ssItem(sK58(sK63,sK64))
| ~ ssList(sK60(sK63,sK64))
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = X1_13 ),
inference(instantiation,[status(thm)],[c_10140]) ).
cnf(c_90634,plain,
( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil)
| ~ ssItem(sK59(sK63,sK64))
| ~ ssItem(sK58(sK63,sK64))
| ~ ssList(sK60(sK63,sK64))
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = nil ),
inference(instantiation,[status(thm)],[c_90633]) ).
cnf(c_97576,plain,
( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
| cons(sK52(sK63),sK51(sK63)) != sK63
| app(sK63,nil) != sK63
| ~ sP7(sK64,sK63,sK64,sK63)
| sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),app(sK63,nil),app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(sK52(sK63),sK51(sK63))) ),
inference(instantiation,[status(thm)],[c_86778]) ).
cnf(c_97851,plain,
( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),app(sK63,nil),app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(sK52(sK63),sK51(sK63)))
| ~ ssItem(sK59(sK63,sK64))
| ~ ssItem(sK58(sK63,sK64))
| ~ ssList(sK60(sK63,sK64))
| app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = cons(sK52(sK63),sK51(sK63)) ),
inference(instantiation,[status(thm)],[c_90171]) ).
cnf(c_97852,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_97851,c_97576,c_90634,c_90180,c_86818,c_86059,c_85962,c_84029,c_83914,c_46756,c_39637,c_22147,c_21901,c_17332,c_17016,c_14614,c_14582,c_14049,c_14046,c_14044,c_14042,c_13920,c_13654,c_13655,c_13656,c_13657,c_13658,c_265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC412+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Jun 20 02:18:39 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 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
% 57.88/8.76 % SZS status Started for theBenchmark.p
% 57.88/8.76 % SZS status Theorem for theBenchmark.p
% 57.88/8.76
% 57.88/8.76 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 57.88/8.76
% 57.88/8.76 ------ iProver source info
% 57.88/8.76
% 57.88/8.76 git: date: 2024-06-12 09:56:46 +0000
% 57.88/8.76 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 57.88/8.76 git: non_committed_changes: false
% 57.88/8.76
% 57.88/8.76 ------ Parsing...
% 57.88/8.76 ------ Clausification by vclausify_rel & Parsing by iProver...
% 57.88/8.76
% 57.88/8.76 ------ 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
% 57.88/8.76
% 57.88/8.76 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 57.88/8.76
% 57.88/8.76 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 57.88/8.76 ------ Proving...
% 57.88/8.76 ------ Problem Properties
% 57.88/8.76
% 57.88/8.76
% 57.88/8.76 clauses 202
% 57.88/8.76 conjectures 7
% 57.88/8.76 EPR 56
% 57.88/8.76 Horn 130
% 57.88/8.76 unary 22
% 57.88/8.76 binary 54
% 57.88/8.76 lits 662
% 57.88/8.76 lits eq 88
% 57.88/8.76 fd_pure 0
% 57.88/8.76 fd_pseudo 0
% 57.88/8.76 fd_cond 21
% 57.88/8.76 fd_pseudo_cond 15
% 57.88/8.76 AC symbols 0
% 57.88/8.76
% 57.88/8.76 ------ Input Options Time Limit: Unbounded
% 57.88/8.76
% 57.88/8.76
% 57.88/8.76 ------
% 57.88/8.76 Current options:
% 57.88/8.76 ------
% 57.88/8.76
% 57.88/8.76
% 57.88/8.76
% 57.88/8.76
% 57.88/8.76 ------ Proving...
% 57.88/8.76
% 57.88/8.76
% 57.88/8.76 % SZS status Theorem for theBenchmark.p
% 57.88/8.76
% 57.88/8.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.88/8.76
% 57.88/8.77
%------------------------------------------------------------------------------