TSTP Solution File: SWC343+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC343+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 : Wed May 1 04:01:35 EDT 2024
% Result : Theorem 0.23s 0.77s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 37
% Syntax : Number of formulae : 186 ( 8 unt; 0 def)
% Number of atoms : 1151 ( 362 equ)
% Maximal formula atoms : 60 ( 6 avg)
% Number of connectives : 1615 ( 650 ~; 645 |; 257 &)
% ( 27 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 28 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 285 ( 179 !; 106 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f809,plain,
$false,
inference(avatar_sat_refutation,[],[f619,f624,f629,f634,f639,f644,f649,f657,f661,f665,f669,f673,f677,f681,f682,f683,f694,f701,f703,f710,f717,f724,f731,f738,f744,f747,f777,f778,f787,f788,f790,f791,f802,f808]) ).
fof(f808,plain,
( ~ spl56_18
| ~ spl56_20
| ~ spl56_23
| ~ spl56_11
| ~ spl56_26
| ~ spl56_27 ),
inference(avatar_split_clause,[],[f805,f799,f742,f654,f721,f698,f687]) ).
fof(f687,plain,
( spl56_18
<=> ssList(sK54(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_18])]) ).
fof(f698,plain,
( spl56_20
<=> ssItem(sK53(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_20])]) ).
fof(f721,plain,
( spl56_23
<=> lt(sK53(sK55),sK51(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_23])]) ).
fof(f654,plain,
( spl56_11
<=> nil = sK49 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_11])]) ).
fof(f742,plain,
( spl56_26
<=> ! [X0,X1] :
( sK49 != app(X0,cons(X1,nil))
| ~ lt(X1,sK51(sK55))
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_26])]) ).
fof(f799,plain,
( spl56_27
<=> nil = app(sK54(sK55),cons(sK53(sK55),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_27])]) ).
fof(f805,plain,
( ~ lt(sK53(sK55),sK51(sK55))
| ~ ssItem(sK53(sK55))
| ~ ssList(sK54(sK55))
| ~ spl56_11
| ~ spl56_26
| ~ spl56_27 ),
inference(trivial_inequality_removal,[],[f804]) ).
fof(f804,plain,
( nil != nil
| ~ lt(sK53(sK55),sK51(sK55))
| ~ ssItem(sK53(sK55))
| ~ ssList(sK54(sK55))
| ~ spl56_11
| ~ spl56_26
| ~ spl56_27 ),
inference(superposition,[],[f789,f801]) ).
fof(f801,plain,
( nil = app(sK54(sK55),cons(sK53(sK55),nil))
| ~ spl56_27 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f789,plain,
( ! [X0,X1] :
( nil != app(X0,cons(X1,nil))
| ~ lt(X1,sK51(sK55))
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl56_11
| ~ spl56_26 ),
inference(forward_demodulation,[],[f743,f656]) ).
fof(f656,plain,
( nil = sK49
| ~ spl56_11 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f743,plain,
( ! [X0,X1] :
( sK49 != app(X0,cons(X1,nil))
| ~ lt(X1,sK51(sK55))
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl56_26 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f802,plain,
( ~ spl56_19
| spl56_27
| ~ spl56_3
| ~ spl56_4
| ~ spl56_11 ),
inference(avatar_split_clause,[],[f797,f654,f622,f616,f799,f691]) ).
fof(f691,plain,
( spl56_19
<=> ssList(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_19])]) ).
fof(f616,plain,
( spl56_3
<=> nil = sK50 ),
introduced(avatar_definition,[new_symbols(naming,[spl56_3])]) ).
fof(f622,plain,
( spl56_4
<=> ! [X4] :
( sK49 = app(sK54(X4),cons(sK53(X4),nil))
| ~ ssList(X4)
| nil != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_4])]) ).
fof(f797,plain,
( nil = app(sK54(sK55),cons(sK53(sK55),nil))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_4
| ~ spl56_11 ),
inference(trivial_inequality_removal,[],[f796]) ).
fof(f796,plain,
( nil != nil
| nil = app(sK54(sK55),cons(sK53(sK55),nil))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_4
| ~ spl56_11 ),
inference(superposition,[],[f754,f766]) ).
fof(f766,plain,
( nil = app(nil,sK55)
| ~ spl56_3
| ~ spl56_11 ),
inference(forward_demodulation,[],[f758,f617]) ).
fof(f617,plain,
( nil = sK50
| ~ spl56_3 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f758,plain,
( sK50 = app(nil,sK55)
| ~ spl56_11 ),
inference(superposition,[],[f539,f656]) ).
fof(f539,plain,
sK50 = app(sK49,sK55),
inference(cnf_transformation,[],[f341]) ).
fof(f341,plain,
( ( ( nil != sK48
& nil = sK47 )
| ! [X4] :
( ~ strictorderedP(sK47)
| ( lt(sK53(X4),sK51(X4))
& sK47 = app(sK54(X4),cons(sK53(X4),nil))
& ssList(sK54(X4))
& ssItem(sK53(X4))
& app(cons(sK51(X4),nil),sK52(X4)) = X4
& ssList(sK52(X4))
& ssItem(sK51(X4)) )
| app(sK47,X4) != sK48
| ~ ssList(X4) ) )
& ( nil != sK49
| nil = sK50 )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK49
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != sK55
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK49)
& sK50 = app(sK49,sK55)
& ssList(sK55)
& sK47 = sK49
& sK48 = sK50
& ssList(sK50)
& ssList(sK49)
& ssList(sK48)
& ssList(sK47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55])],[f223,f340,f339,f338,f337,f336,f335,f334,f333,f332]) ).
fof(f332,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ! [X4] :
( ~ strictorderedP(X0)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = X0
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(X0,X4) != X1
| ~ ssList(X4) ) )
& ( nil != X2
| nil = X3 )
& ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(X2,X9) = X3
& ssList(X9) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = sK47 )
| ! [X4] :
( ~ strictorderedP(sK47)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(sK47,X4) != X1
| ~ ssList(X4) ) )
& ( nil != X2
| nil = X3 )
& ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(X2,X9) = X3
& ssList(X9) )
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = sK47 )
| ! [X4] :
( ~ strictorderedP(sK47)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(sK47,X4) != X1
| ~ ssList(X4) ) )
& ( nil != X2
| nil = X3 )
& ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(X2,X9) = X3
& ssList(X9) )
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil != sK48
& nil = sK47 )
| ! [X4] :
( ~ strictorderedP(sK47)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(sK47,X4) != sK48
| ~ ssList(X4) ) )
& ( nil != X2
| nil = X3 )
& ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(X2,X9) = X3
& ssList(X9) )
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil != sK48
& nil = sK47 )
| ! [X4] :
( ~ strictorderedP(sK47)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(sK47,X4) != sK48
| ~ ssList(X4) ) )
& ( nil != X2
| nil = X3 )
& ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(X2,X9) = X3
& ssList(X9) )
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil != sK48
& nil = sK47 )
| ! [X4] :
( ~ strictorderedP(sK47)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(sK47,X4) != sK48
| ~ ssList(X4) ) )
& ( nil != sK49
| nil = X3 )
& ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK49
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK49)
& app(sK49,X9) = X3
& ssList(X9) )
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ? [X3] :
( ( ( nil != sK48
& nil = sK47 )
| ! [X4] :
( ~ strictorderedP(sK47)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(sK47,X4) != sK48
| ~ ssList(X4) ) )
& ( nil != sK49
| nil = X3 )
& ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK49
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK49)
& app(sK49,X9) = X3
& ssList(X9) )
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
=> ( ( ( nil != sK48
& nil = sK47 )
| ! [X4] :
( ~ strictorderedP(sK47)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(sK47,X4) != sK48
| ~ ssList(X4) ) )
& ( nil != sK49
| nil = sK50 )
& ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK49
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK49)
& app(sK49,X9) = sK50
& ssList(X9) )
& sK47 = sK49
& sK48 = sK50
& ssList(sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
! [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
=> ( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,sK51(X4))
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(sK51(X4),nil),X6) = X4
& ssList(X6) )
& ssItem(sK51(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X4] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,sK51(X4))
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(sK51(X4),nil),X6) = X4
& ssList(X6) )
=> ( ? [X7] :
( ? [X8] :
( lt(X7,sK51(X4))
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
& app(cons(sK51(X4),nil),sK52(X4)) = X4
& ssList(sK52(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f338,plain,
! [X4] :
( ? [X7] :
( ? [X8] :
( lt(X7,sK51(X4))
& app(X8,cons(X7,nil)) = sK47
& ssList(X8) )
& ssItem(X7) )
=> ( ? [X8] :
( lt(sK53(X4),sK51(X4))
& sK47 = app(X8,cons(sK53(X4),nil))
& ssList(X8) )
& ssItem(sK53(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X4] :
( ? [X8] :
( lt(sK53(X4),sK51(X4))
& sK47 = app(X8,cons(sK53(X4),nil))
& ssList(X8) )
=> ( lt(sK53(X4),sK51(X4))
& sK47 = app(sK54(X4),cons(sK53(X4),nil))
& ssList(sK54(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK49
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK49)
& app(sK49,X9) = sK50
& ssList(X9) )
=> ( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK49
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != sK55
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK49)
& sK50 = app(sK49,sK55)
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ! [X4] :
( ~ strictorderedP(X0)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = X0
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(X0,X4) != X1
| ~ ssList(X4) ) )
& ( nil != X2
| nil = X3 )
& ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(X2,X9) = X3
& ssList(X9) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ! [X4] :
( ~ strictorderedP(X0)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = X0
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(X0,X4) != X1
| ~ ssList(X4) ) )
& ( nil != X2
| nil = X3 )
& ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(X2,X9) = X3
& ssList(X9) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ? [X4] :
( strictorderedP(X0)
& ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != X0 ) ) )
| app(cons(X5,nil),X6) != X4 ) ) )
& app(X0,X4) = X1
& ssList(X4) ) )
| ( nil = X2
& nil != X3 )
| ! [X9] :
( ssList(X9)
=> ( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) )
& ssItem(X12) )
& app(cons(X10,nil),X11) = X9
& ssList(X11) )
& ssItem(X10) )
| ~ strictorderedP(X2)
| app(X2,X9) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ? [X9] :
( strictorderedP(X0)
& ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ( ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X0 ) ) )
| app(cons(X10,nil),X11) != X9 ) ) )
& app(X0,X9) = X1
& ssList(X9) ) )
| ( nil = X2
& nil != X3 )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = X2
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ strictorderedP(X2)
| app(X2,X4) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ? [X9] :
( strictorderedP(X0)
& ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ( ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X0 ) ) )
| app(cons(X10,nil),X11) != X9 ) ) )
& app(X0,X9) = X1
& ssList(X9) ) )
| ( nil = X2
& nil != X3 )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = X2
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ strictorderedP(X2)
| app(X2,X4) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.vgE8U38XRY/Vampire---4.8_22528',co1) ).
fof(f754,plain,
( ! [X4] :
( nil != app(nil,X4)
| nil = app(sK54(X4),cons(sK53(X4),nil))
| ~ ssList(X4) )
| ~ spl56_4
| ~ spl56_11 ),
inference(forward_demodulation,[],[f753,f656]) ).
fof(f753,plain,
( ! [X4] :
( nil = app(sK54(X4),cons(sK53(X4),nil))
| ~ ssList(X4)
| nil != app(sK49,X4) )
| ~ spl56_4
| ~ spl56_11 ),
inference(forward_demodulation,[],[f623,f656]) ).
fof(f623,plain,
( ! [X4] :
( sK49 = app(sK54(X4),cons(sK53(X4),nil))
| ~ ssList(X4)
| nil != app(sK49,X4) )
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f791,plain,
( ~ spl56_19
| spl56_23
| ~ spl56_1
| ~ spl56_3
| ~ spl56_11 ),
inference(avatar_split_clause,[],[f784,f654,f616,f609,f721,f691]) ).
fof(f609,plain,
( spl56_1
<=> ! [X4] :
( lt(sK53(X4),sK51(X4))
| ~ ssList(X4)
| nil != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_1])]) ).
fof(f784,plain,
( lt(sK53(sK55),sK51(sK55))
| ~ ssList(sK55)
| ~ spl56_1
| ~ spl56_3
| ~ spl56_11 ),
inference(trivial_inequality_removal,[],[f783]) ).
fof(f783,plain,
( nil != nil
| lt(sK53(sK55),sK51(sK55))
| ~ ssList(sK55)
| ~ spl56_1
| ~ spl56_3
| ~ spl56_11 ),
inference(superposition,[],[f755,f766]) ).
fof(f755,plain,
( ! [X4] :
( nil != app(nil,X4)
| lt(sK53(X4),sK51(X4))
| ~ ssList(X4) )
| ~ spl56_1
| ~ spl56_11 ),
inference(forward_demodulation,[],[f610,f656]) ).
fof(f610,plain,
( ! [X4] :
( lt(sK53(X4),sK51(X4))
| ~ ssList(X4)
| nil != app(sK49,X4) )
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f790,plain,
( ~ spl56_19
| spl56_20
| ~ spl56_3
| ~ spl56_6
| ~ spl56_11 ),
inference(avatar_split_clause,[],[f780,f654,f632,f616,f698,f691]) ).
fof(f632,plain,
( spl56_6
<=> ! [X4] :
( ssItem(sK53(X4))
| ~ ssList(X4)
| nil != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_6])]) ).
fof(f780,plain,
( ssItem(sK53(sK55))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_6
| ~ spl56_11 ),
inference(trivial_inequality_removal,[],[f779]) ).
fof(f779,plain,
( nil != nil
| ssItem(sK53(sK55))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_6
| ~ spl56_11 ),
inference(superposition,[],[f751,f766]) ).
fof(f751,plain,
( ! [X4] :
( nil != app(nil,X4)
| ssItem(sK53(X4))
| ~ ssList(X4) )
| ~ spl56_6
| ~ spl56_11 ),
inference(forward_demodulation,[],[f633,f656]) ).
fof(f633,plain,
( ! [X4] :
( ssItem(sK53(X4))
| ~ ssList(X4)
| nil != app(sK49,X4) )
| ~ spl56_6 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f788,plain,
( ~ spl56_19
| spl56_18
| ~ spl56_3
| ~ spl56_5
| ~ spl56_11 ),
inference(avatar_split_clause,[],[f782,f654,f627,f616,f687,f691]) ).
fof(f627,plain,
( spl56_5
<=> ! [X4] :
( ssList(sK54(X4))
| ~ ssList(X4)
| nil != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_5])]) ).
fof(f782,plain,
( ssList(sK54(sK55))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_5
| ~ spl56_11 ),
inference(trivial_inequality_removal,[],[f781]) ).
fof(f781,plain,
( nil != nil
| ssList(sK54(sK55))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_5
| ~ spl56_11 ),
inference(superposition,[],[f752,f766]) ).
fof(f752,plain,
( ! [X4] :
( nil != app(nil,X4)
| ssList(sK54(X4))
| ~ ssList(X4) )
| ~ spl56_5
| ~ spl56_11 ),
inference(forward_demodulation,[],[f628,f656]) ).
fof(f628,plain,
( ! [X4] :
( ssList(sK54(X4))
| ~ ssList(X4)
| nil != app(sK49,X4) )
| ~ spl56_5 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f787,plain,
( ~ spl56_19
| spl56_25
| ~ spl56_3
| ~ spl56_7
| ~ spl56_11 ),
inference(avatar_split_clause,[],[f786,f654,f637,f616,f735,f691]) ).
fof(f735,plain,
( spl56_25
<=> sK55 = app(cons(sK51(sK55),nil),sK52(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_25])]) ).
fof(f637,plain,
( spl56_7
<=> ! [X4] :
( app(cons(sK51(X4),nil),sK52(X4)) = X4
| ~ ssList(X4)
| nil != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_7])]) ).
fof(f786,plain,
( sK55 = app(cons(sK51(sK55),nil),sK52(sK55))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_7
| ~ spl56_11 ),
inference(trivial_inequality_removal,[],[f785]) ).
fof(f785,plain,
( nil != nil
| sK55 = app(cons(sK51(sK55),nil),sK52(sK55))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_7
| ~ spl56_11 ),
inference(superposition,[],[f750,f766]) ).
fof(f750,plain,
( ! [X4] :
( nil != app(nil,X4)
| app(cons(sK51(X4),nil),sK52(X4)) = X4
| ~ ssList(X4) )
| ~ spl56_7
| ~ spl56_11 ),
inference(forward_demodulation,[],[f638,f656]) ).
fof(f638,plain,
( ! [X4] :
( app(cons(sK51(X4),nil),sK52(X4)) = X4
| ~ ssList(X4)
| nil != app(sK49,X4) )
| ~ spl56_7 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f778,plain,
( ~ spl56_19
| spl56_22
| ~ spl56_3
| ~ spl56_9
| ~ spl56_11 ),
inference(avatar_split_clause,[],[f774,f654,f647,f616,f714,f691]) ).
fof(f714,plain,
( spl56_22
<=> ssItem(sK51(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_22])]) ).
fof(f647,plain,
( spl56_9
<=> ! [X4] :
( ssItem(sK51(X4))
| ~ ssList(X4)
| nil != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_9])]) ).
fof(f774,plain,
( ssItem(sK51(sK55))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_9
| ~ spl56_11 ),
inference(trivial_inequality_removal,[],[f773]) ).
fof(f773,plain,
( nil != nil
| ssItem(sK51(sK55))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_9
| ~ spl56_11 ),
inference(superposition,[],[f748,f766]) ).
fof(f748,plain,
( ! [X4] :
( nil != app(nil,X4)
| ssItem(sK51(X4))
| ~ ssList(X4) )
| ~ spl56_9
| ~ spl56_11 ),
inference(forward_demodulation,[],[f648,f656]) ).
fof(f648,plain,
( ! [X4] :
( ssItem(sK51(X4))
| ~ ssList(X4)
| nil != app(sK49,X4) )
| ~ spl56_9 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f777,plain,
( ~ spl56_19
| spl56_21
| ~ spl56_3
| ~ spl56_8
| ~ spl56_11 ),
inference(avatar_split_clause,[],[f776,f654,f642,f616,f707,f691]) ).
fof(f707,plain,
( spl56_21
<=> ssList(sK52(sK55)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_21])]) ).
fof(f642,plain,
( spl56_8
<=> ! [X4] :
( ssList(sK52(X4))
| ~ ssList(X4)
| nil != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_8])]) ).
fof(f776,plain,
( ssList(sK52(sK55))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_8
| ~ spl56_11 ),
inference(trivial_inequality_removal,[],[f775]) ).
fof(f775,plain,
( nil != nil
| ssList(sK52(sK55))
| ~ ssList(sK55)
| ~ spl56_3
| ~ spl56_8
| ~ spl56_11 ),
inference(superposition,[],[f749,f766]) ).
fof(f749,plain,
( ! [X4] :
( nil != app(nil,X4)
| ssList(sK52(X4))
| ~ ssList(X4) )
| ~ spl56_8
| ~ spl56_11 ),
inference(forward_demodulation,[],[f643,f656]) ).
fof(f643,plain,
( ! [X4] :
( ssList(sK52(X4))
| ~ ssList(X4)
| nil != app(sK49,X4) )
| ~ spl56_8 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f747,plain,
( ~ spl56_18
| ~ spl56_20
| ~ spl56_23
| ~ spl56_24
| ~ spl56_26 ),
inference(avatar_split_clause,[],[f746,f742,f728,f721,f698,f687]) ).
fof(f728,plain,
( spl56_24
<=> sK49 = app(sK54(sK55),cons(sK53(sK55),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_24])]) ).
fof(f746,plain,
( ~ lt(sK53(sK55),sK51(sK55))
| ~ ssItem(sK53(sK55))
| ~ ssList(sK54(sK55))
| ~ spl56_24
| ~ spl56_26 ),
inference(trivial_inequality_removal,[],[f745]) ).
fof(f745,plain,
( sK49 != sK49
| ~ lt(sK53(sK55),sK51(sK55))
| ~ ssItem(sK53(sK55))
| ~ ssList(sK54(sK55))
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f743,f730]) ).
fof(f730,plain,
( sK49 = app(sK54(sK55),cons(sK53(sK55),nil))
| ~ spl56_24 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f744,plain,
( ~ spl56_22
| ~ spl56_21
| spl56_26
| ~ spl56_25 ),
inference(avatar_split_clause,[],[f740,f735,f742,f707,f714]) ).
fof(f740,plain,
( ! [X0,X1] :
( sK49 != app(X0,cons(X1,nil))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ lt(X1,sK51(sK55))
| ~ ssList(sK52(sK55))
| ~ ssItem(sK51(sK55)) )
| ~ spl56_25 ),
inference(trivial_inequality_removal,[],[f739]) ).
fof(f739,plain,
( ! [X0,X1] :
( sK55 != sK55
| sK49 != app(X0,cons(X1,nil))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ lt(X1,sK51(sK55))
| ~ ssList(sK52(sK55))
| ~ ssItem(sK51(sK55)) )
| ~ spl56_25 ),
inference(superposition,[],[f541,f737]) ).
fof(f737,plain,
( sK55 = app(cons(sK51(sK55),nil),sK52(sK55))
| ~ spl56_25 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f541,plain,
! [X10,X11,X12,X13] :
( app(cons(X10,nil),X11) != sK55
| app(X13,cons(X12,nil)) != sK49
| ~ ssList(X13)
| ~ ssItem(X12)
| ~ lt(X12,X10)
| ~ ssList(X11)
| ~ ssItem(X10) ),
inference(cnf_transformation,[],[f341]) ).
fof(f738,plain,
( spl56_25
| ~ spl56_19
| ~ spl56_15 ),
inference(avatar_split_clause,[],[f733,f671,f691,f735]) ).
fof(f671,plain,
( spl56_15
<=> ! [X4] :
( app(cons(sK51(X4),nil),sK52(X4)) = X4
| ~ ssList(X4)
| sK50 != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_15])]) ).
fof(f733,plain,
( ~ ssList(sK55)
| sK55 = app(cons(sK51(sK55),nil),sK52(sK55))
| ~ spl56_15 ),
inference(trivial_inequality_removal,[],[f732]) ).
fof(f732,plain,
( sK50 != sK50
| ~ ssList(sK55)
| sK55 = app(cons(sK51(sK55),nil),sK52(sK55))
| ~ spl56_15 ),
inference(superposition,[],[f672,f539]) ).
fof(f672,plain,
( ! [X4] :
( sK50 != app(sK49,X4)
| ~ ssList(X4)
| app(cons(sK51(X4),nil),sK52(X4)) = X4 )
| ~ spl56_15 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f731,plain,
( spl56_24
| ~ spl56_19
| ~ spl56_12 ),
inference(avatar_split_clause,[],[f726,f659,f691,f728]) ).
fof(f659,plain,
( spl56_12
<=> ! [X4] :
( sK49 = app(sK54(X4),cons(sK53(X4),nil))
| ~ ssList(X4)
| sK50 != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_12])]) ).
fof(f726,plain,
( ~ ssList(sK55)
| sK49 = app(sK54(sK55),cons(sK53(sK55),nil))
| ~ spl56_12 ),
inference(trivial_inequality_removal,[],[f725]) ).
fof(f725,plain,
( sK50 != sK50
| ~ ssList(sK55)
| sK49 = app(sK54(sK55),cons(sK53(sK55),nil))
| ~ spl56_12 ),
inference(superposition,[],[f660,f539]) ).
fof(f660,plain,
( ! [X4] :
( sK50 != app(sK49,X4)
| ~ ssList(X4)
| sK49 = app(sK54(X4),cons(sK53(X4),nil)) )
| ~ spl56_12 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f724,plain,
( spl56_23
| ~ spl56_19
| ~ spl56_10 ),
inference(avatar_split_clause,[],[f719,f651,f691,f721]) ).
fof(f651,plain,
( spl56_10
<=> ! [X4] :
( lt(sK53(X4),sK51(X4))
| ~ ssList(X4)
| sK50 != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_10])]) ).
fof(f719,plain,
( ~ ssList(sK55)
| lt(sK53(sK55),sK51(sK55))
| ~ spl56_10 ),
inference(trivial_inequality_removal,[],[f718]) ).
fof(f718,plain,
( sK50 != sK50
| ~ ssList(sK55)
| lt(sK53(sK55),sK51(sK55))
| ~ spl56_10 ),
inference(superposition,[],[f652,f539]) ).
fof(f652,plain,
( ! [X4] :
( sK50 != app(sK49,X4)
| ~ ssList(X4)
| lt(sK53(X4),sK51(X4)) )
| ~ spl56_10 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f717,plain,
( spl56_22
| ~ spl56_19
| ~ spl56_17 ),
inference(avatar_split_clause,[],[f712,f679,f691,f714]) ).
fof(f679,plain,
( spl56_17
<=> ! [X4] :
( ssItem(sK51(X4))
| ~ ssList(X4)
| sK50 != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_17])]) ).
fof(f712,plain,
( ~ ssList(sK55)
| ssItem(sK51(sK55))
| ~ spl56_17 ),
inference(trivial_inequality_removal,[],[f711]) ).
fof(f711,plain,
( sK50 != sK50
| ~ ssList(sK55)
| ssItem(sK51(sK55))
| ~ spl56_17 ),
inference(superposition,[],[f680,f539]) ).
fof(f680,plain,
( ! [X4] :
( sK50 != app(sK49,X4)
| ~ ssList(X4)
| ssItem(sK51(X4)) )
| ~ spl56_17 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f710,plain,
( spl56_21
| ~ spl56_19
| ~ spl56_16 ),
inference(avatar_split_clause,[],[f705,f675,f691,f707]) ).
fof(f675,plain,
( spl56_16
<=> ! [X4] :
( ssList(sK52(X4))
| ~ ssList(X4)
| sK50 != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_16])]) ).
fof(f705,plain,
( ~ ssList(sK55)
| ssList(sK52(sK55))
| ~ spl56_16 ),
inference(trivial_inequality_removal,[],[f704]) ).
fof(f704,plain,
( sK50 != sK50
| ~ ssList(sK55)
| ssList(sK52(sK55))
| ~ spl56_16 ),
inference(superposition,[],[f676,f539]) ).
fof(f676,plain,
( ! [X4] :
( sK50 != app(sK49,X4)
| ~ ssList(X4)
| ssList(sK52(X4)) )
| ~ spl56_16 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f703,plain,
spl56_19,
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| spl56_19 ),
inference(resolution,[],[f693,f538]) ).
fof(f538,plain,
ssList(sK55),
inference(cnf_transformation,[],[f341]) ).
fof(f693,plain,
( ~ ssList(sK55)
| spl56_19 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f701,plain,
( spl56_20
| ~ spl56_19
| ~ spl56_14 ),
inference(avatar_split_clause,[],[f696,f667,f691,f698]) ).
fof(f667,plain,
( spl56_14
<=> ! [X4] :
( ssItem(sK53(X4))
| ~ ssList(X4)
| sK50 != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_14])]) ).
fof(f696,plain,
( ~ ssList(sK55)
| ssItem(sK53(sK55))
| ~ spl56_14 ),
inference(trivial_inequality_removal,[],[f695]) ).
fof(f695,plain,
( sK50 != sK50
| ~ ssList(sK55)
| ssItem(sK53(sK55))
| ~ spl56_14 ),
inference(superposition,[],[f668,f539]) ).
fof(f668,plain,
( ! [X4] :
( sK50 != app(sK49,X4)
| ~ ssList(X4)
| ssItem(sK53(X4)) )
| ~ spl56_14 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f694,plain,
( spl56_18
| ~ spl56_19
| ~ spl56_13 ),
inference(avatar_split_clause,[],[f685,f663,f691,f687]) ).
fof(f663,plain,
( spl56_13
<=> ! [X4] :
( ssList(sK54(X4))
| ~ ssList(X4)
| sK50 != app(sK49,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_13])]) ).
fof(f685,plain,
( ~ ssList(sK55)
| ssList(sK54(sK55))
| ~ spl56_13 ),
inference(trivial_inequality_removal,[],[f684]) ).
fof(f684,plain,
( sK50 != sK50
| ~ ssList(sK55)
| ssList(sK54(sK55))
| ~ spl56_13 ),
inference(superposition,[],[f664,f539]) ).
fof(f664,plain,
( ! [X4] :
( sK50 != app(sK49,X4)
| ~ ssList(X4)
| ssList(sK54(X4)) )
| ~ spl56_13 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f683,plain,
spl56_2,
inference(avatar_split_clause,[],[f540,f612]) ).
fof(f612,plain,
( spl56_2
<=> strictorderedP(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_2])]) ).
fof(f540,plain,
strictorderedP(sK49),
inference(cnf_transformation,[],[f341]) ).
fof(f682,plain,
( spl56_3
| ~ spl56_11 ),
inference(avatar_split_clause,[],[f542,f654,f616]) ).
fof(f542,plain,
( nil != sK49
| nil = sK50 ),
inference(cnf_transformation,[],[f341]) ).
fof(f681,plain,
( spl56_17
| ~ spl56_2
| spl56_11 ),
inference(avatar_split_clause,[],[f570,f654,f612,f679]) ).
fof(f570,plain,
! [X4] :
( nil = sK49
| ~ strictorderedP(sK49)
| ssItem(sK51(X4))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f543,f537,f537,f537,f536]) ).
fof(f536,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f341]) ).
fof(f537,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f341]) ).
fof(f543,plain,
! [X4] :
( nil = sK47
| ~ strictorderedP(sK47)
| ssItem(sK51(X4))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f677,plain,
( spl56_16
| ~ spl56_2
| spl56_11 ),
inference(avatar_split_clause,[],[f569,f654,f612,f675]) ).
fof(f569,plain,
! [X4] :
( nil = sK49
| ~ strictorderedP(sK49)
| ssList(sK52(X4))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f544,f537,f537,f537,f536]) ).
fof(f544,plain,
! [X4] :
( nil = sK47
| ~ strictorderedP(sK47)
| ssList(sK52(X4))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f673,plain,
( spl56_15
| ~ spl56_2
| spl56_11 ),
inference(avatar_split_clause,[],[f568,f654,f612,f671]) ).
fof(f568,plain,
! [X4] :
( nil = sK49
| ~ strictorderedP(sK49)
| app(cons(sK51(X4),nil),sK52(X4)) = X4
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f545,f537,f537,f537,f536]) ).
fof(f545,plain,
! [X4] :
( nil = sK47
| ~ strictorderedP(sK47)
| app(cons(sK51(X4),nil),sK52(X4)) = X4
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f669,plain,
( spl56_14
| ~ spl56_2
| spl56_11 ),
inference(avatar_split_clause,[],[f567,f654,f612,f667]) ).
fof(f567,plain,
! [X4] :
( nil = sK49
| ~ strictorderedP(sK49)
| ssItem(sK53(X4))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f546,f537,f537,f537,f536]) ).
fof(f546,plain,
! [X4] :
( nil = sK47
| ~ strictorderedP(sK47)
| ssItem(sK53(X4))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f665,plain,
( spl56_13
| ~ spl56_2
| spl56_11 ),
inference(avatar_split_clause,[],[f566,f654,f612,f663]) ).
fof(f566,plain,
! [X4] :
( nil = sK49
| ~ strictorderedP(sK49)
| ssList(sK54(X4))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f547,f537,f537,f537,f536]) ).
fof(f547,plain,
! [X4] :
( nil = sK47
| ~ strictorderedP(sK47)
| ssList(sK54(X4))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f661,plain,
( spl56_12
| ~ spl56_2
| spl56_11 ),
inference(avatar_split_clause,[],[f565,f654,f612,f659]) ).
fof(f565,plain,
! [X4] :
( nil = sK49
| ~ strictorderedP(sK49)
| sK49 = app(sK54(X4),cons(sK53(X4),nil))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f548,f537,f537,f537,f537,f536]) ).
fof(f548,plain,
! [X4] :
( nil = sK47
| ~ strictorderedP(sK47)
| sK47 = app(sK54(X4),cons(sK53(X4),nil))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f657,plain,
( spl56_10
| ~ spl56_2
| spl56_11 ),
inference(avatar_split_clause,[],[f564,f654,f612,f651]) ).
fof(f564,plain,
! [X4] :
( nil = sK49
| ~ strictorderedP(sK49)
| lt(sK53(X4),sK51(X4))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f549,f537,f537,f537,f536]) ).
fof(f549,plain,
! [X4] :
( nil = sK47
| ~ strictorderedP(sK47)
| lt(sK53(X4),sK51(X4))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f649,plain,
( spl56_9
| ~ spl56_2
| ~ spl56_3 ),
inference(avatar_split_clause,[],[f645,f616,f612,f647]) ).
fof(f645,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| ssItem(sK51(X4))
| nil != app(sK49,X4)
| ~ ssList(X4) ),
inference(inner_rewriting,[],[f563]) ).
fof(f563,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| ssItem(sK51(X4))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f550,f536,f537,f537,f536]) ).
fof(f550,plain,
! [X4] :
( nil != sK48
| ~ strictorderedP(sK47)
| ssItem(sK51(X4))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f644,plain,
( spl56_8
| ~ spl56_2
| ~ spl56_3 ),
inference(avatar_split_clause,[],[f640,f616,f612,f642]) ).
fof(f640,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| ssList(sK52(X4))
| nil != app(sK49,X4)
| ~ ssList(X4) ),
inference(inner_rewriting,[],[f562]) ).
fof(f562,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| ssList(sK52(X4))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f551,f536,f537,f537,f536]) ).
fof(f551,plain,
! [X4] :
( nil != sK48
| ~ strictorderedP(sK47)
| ssList(sK52(X4))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f639,plain,
( spl56_7
| ~ spl56_2
| ~ spl56_3 ),
inference(avatar_split_clause,[],[f635,f616,f612,f637]) ).
fof(f635,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| app(cons(sK51(X4),nil),sK52(X4)) = X4
| nil != app(sK49,X4)
| ~ ssList(X4) ),
inference(inner_rewriting,[],[f561]) ).
fof(f561,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| app(cons(sK51(X4),nil),sK52(X4)) = X4
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f552,f536,f537,f537,f536]) ).
fof(f552,plain,
! [X4] :
( nil != sK48
| ~ strictorderedP(sK47)
| app(cons(sK51(X4),nil),sK52(X4)) = X4
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f634,plain,
( spl56_6
| ~ spl56_2
| ~ spl56_3 ),
inference(avatar_split_clause,[],[f630,f616,f612,f632]) ).
fof(f630,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| ssItem(sK53(X4))
| nil != app(sK49,X4)
| ~ ssList(X4) ),
inference(inner_rewriting,[],[f560]) ).
fof(f560,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| ssItem(sK53(X4))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f553,f536,f537,f537,f536]) ).
fof(f553,plain,
! [X4] :
( nil != sK48
| ~ strictorderedP(sK47)
| ssItem(sK53(X4))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f629,plain,
( spl56_5
| ~ spl56_2
| ~ spl56_3 ),
inference(avatar_split_clause,[],[f625,f616,f612,f627]) ).
fof(f625,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| ssList(sK54(X4))
| nil != app(sK49,X4)
| ~ ssList(X4) ),
inference(inner_rewriting,[],[f559]) ).
fof(f559,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| ssList(sK54(X4))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f554,f536,f537,f537,f536]) ).
fof(f554,plain,
! [X4] :
( nil != sK48
| ~ strictorderedP(sK47)
| ssList(sK54(X4))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f624,plain,
( spl56_4
| ~ spl56_2
| ~ spl56_3 ),
inference(avatar_split_clause,[],[f620,f616,f612,f622]) ).
fof(f620,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| sK49 = app(sK54(X4),cons(sK53(X4),nil))
| nil != app(sK49,X4)
| ~ ssList(X4) ),
inference(inner_rewriting,[],[f558]) ).
fof(f558,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| sK49 = app(sK54(X4),cons(sK53(X4),nil))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f555,f536,f537,f537,f537,f536]) ).
fof(f555,plain,
! [X4] :
( nil != sK48
| ~ strictorderedP(sK47)
| sK47 = app(sK54(X4),cons(sK53(X4),nil))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
fof(f619,plain,
( spl56_1
| ~ spl56_2
| ~ spl56_3 ),
inference(avatar_split_clause,[],[f607,f616,f612,f609]) ).
fof(f607,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| lt(sK53(X4),sK51(X4))
| nil != app(sK49,X4)
| ~ ssList(X4) ),
inference(inner_rewriting,[],[f557]) ).
fof(f557,plain,
! [X4] :
( nil != sK50
| ~ strictorderedP(sK49)
| lt(sK53(X4),sK51(X4))
| sK50 != app(sK49,X4)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f556,f536,f537,f537,f536]) ).
fof(f556,plain,
! [X4] :
( nil != sK48
| ~ strictorderedP(sK47)
| lt(sK53(X4),sK51(X4))
| app(sK47,X4) != sK48
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC343+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 18:24:46 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.vgE8U38XRY/Vampire---4.8_22528
% 0.23/0.75 % (22785)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.23/0.75 % (22779)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.23/0.75 % (22781)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.23/0.75 % (22782)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.23/0.75 % (22780)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.23/0.75 % (22783)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.23/0.75 % (22784)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.23/0.76 % (22786)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.23/0.77 % (22780)First to succeed.
% 0.23/0.77 % (22783)Instruction limit reached!
% 0.23/0.77 % (22783)------------------------------
% 0.23/0.77 % (22783)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.77 % (22783)Termination reason: Unknown
% 0.23/0.77 % (22783)Termination phase: Saturation
% 0.23/0.77
% 0.23/0.77 % (22783)Memory used [KB]: 1954
% 0.23/0.77 % (22783)Time elapsed: 0.020 s
% 0.23/0.77 % (22783)Instructions burned: 35 (million)
% 0.23/0.77 % (22783)------------------------------
% 0.23/0.77 % (22783)------------------------------
% 0.23/0.77 % (22779)Instruction limit reached!
% 0.23/0.77 % (22779)------------------------------
% 0.23/0.77 % (22779)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.77 % (22779)Termination reason: Unknown
% 0.23/0.77 % (22779)Termination phase: Saturation
% 0.23/0.77
% 0.23/0.77 % (22779)Memory used [KB]: 1461
% 0.23/0.77 % (22779)Time elapsed: 0.021 s
% 0.23/0.77 % (22779)Instructions burned: 34 (million)
% 0.23/0.77 % (22779)------------------------------
% 0.23/0.77 % (22779)------------------------------
% 0.23/0.77 % (22780)Refutation found. Thanks to Tanya!
% 0.23/0.77 % SZS status Theorem for Vampire---4
% 0.23/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.78 % (22780)------------------------------
% 0.23/0.78 % (22780)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.78 % (22780)Termination reason: Refutation
% 0.23/0.78
% 0.23/0.78 % (22780)Memory used [KB]: 1494
% 0.23/0.78 % (22780)Time elapsed: 0.018 s
% 0.23/0.78 % (22780)Instructions burned: 29 (million)
% 0.23/0.78 % (22780)------------------------------
% 0.23/0.78 % (22780)------------------------------
% 0.23/0.78 % (22774)Success in time 0.401 s
% 0.23/0.78 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.23/0.78 22774 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.vgE8U38XRY/Vampire---4.8_22528
% 0.23/0.78 % (22774)------------------------------
% 0.23/0.78 % (22774)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.78 % (22774)Termination reason: Unknown
% 0.23/0.78 % (22774)Termination phase: Unknown
% 0.23/0.78
% 0.23/0.78 % (22774)Memory used [KB]: 549
% 0.23/0.78 % (22774)Time elapsed: 0.401 s
% 0.23/0.78 % (22774)Instructions burned: 961 (million)
% 0.23/0.78 % (22774)------------------------------
% 0.23/0.78 % (22774)------------------------------
% 0.23/0.78 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.78 ???
% 0.23/0.78 ???
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% 0.23/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------