TSTP Solution File: SWC237+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC237+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 : n002.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 04:00:47 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 85 ( 10 unt; 0 def)
% Number of atoms : 672 ( 190 equ)
% Maximal formula atoms : 56 ( 7 avg)
% Number of connectives : 966 ( 379 ~; 347 |; 209 &)
% ( 7 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 256 ( 185 !; 71 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f837,plain,
$false,
inference(avatar_sat_refutation,[],[f596,f609,f625,f627,f675,f716,f720,f836]) ).
fof(f836,plain,
( ~ spl53_11
| spl53_2
| ~ spl53_22
| ~ spl53_23 ),
inference(avatar_split_clause,[],[f835,f718,f714,f592,f645]) ).
fof(f645,plain,
( spl53_11
<=> ssList(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_11])]) ).
fof(f592,plain,
( spl53_2
<=> nil = sK49 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f714,plain,
( spl53_22
<=> ! [X0,X1] :
( ~ ssItem(X0)
| memberP(nil,sK52(X0,nil,X1))
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_22])]) ).
fof(f718,plain,
( spl53_23
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ssItem(sK52(X0,nil,X1))
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_23])]) ).
fof(f835,plain,
( nil = sK49
| ~ ssList(sK49)
| ~ spl53_22
| ~ spl53_23 ),
inference(equality_resolution,[],[f834]) ).
fof(f834,plain,
( ! [X0] :
( sK49 != X0
| nil = X0
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(duplicate_literal_removal,[],[f833]) ).
fof(f833,plain,
( ! [X0] :
( sK49 != X0
| nil = X0
| ~ ssList(X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(resolution,[],[f832,f426]) ).
fof(f426,plain,
! [X0] :
( ssItem(sK44(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ( cons(sK44(X0),sK43(X0)) = X0
& ssItem(sK44(X0))
& ssList(sK43(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f125,f306,f305]) ).
fof(f305,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK43(X0)) = X0
& ssItem(X2) )
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK43(X0)) = X0
& ssItem(X2) )
=> ( cons(sK44(X0),sK43(X0)) = X0
& ssItem(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.bFd6E1DUhW/Vampire---4.8_17229',ax20) ).
fof(f832,plain,
( ! [X0] :
( ~ ssItem(sK44(X0))
| sK49 != X0
| nil = X0
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(duplicate_literal_removal,[],[f831]) ).
fof(f831,plain,
( ! [X0] :
( ~ ssItem(sK44(X0))
| sK49 != X0
| nil = X0
| ~ ssList(X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(resolution,[],[f829,f425]) ).
fof(f425,plain,
! [X0] :
( ssList(sK43(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f829,plain,
( ! [X0] :
( ~ ssList(sK43(X0))
| ~ ssItem(sK44(X0))
| sK49 != X0
| nil = X0
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(superposition,[],[f828,f427]) ).
fof(f427,plain,
! [X0] :
( cons(sK44(X0),sK43(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f828,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl53_22
| ~ spl53_23 ),
inference(duplicate_literal_removal,[],[f825]) ).
fof(f825,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| ~ ssItem(X0)
| cons(X0,X1) != sK49
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl53_22
| ~ spl53_23 ),
inference(superposition,[],[f823,f509]) ).
fof(f509,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.bFd6E1DUhW/Vampire---4.8_17229',ax81) ).
fof(f823,plain,
( ! [X0,X1] :
( app(cons(X1,nil),X0) != sK49
| ~ ssItem(X1)
| cons(X1,X0) != sK49
| ~ ssList(X0) )
| ~ spl53_22
| ~ spl53_23 ),
inference(duplicate_literal_removal,[],[f820]) ).
fof(f820,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != sK49
| ~ ssItem(X1)
| ~ ssList(X0)
| app(cons(X1,nil),X0) != sK49 )
| ~ spl53_22
| ~ spl53_23 ),
inference(resolution,[],[f819,f719]) ).
fof(f719,plain,
( ! [X0,X1] :
( ssItem(sK52(X0,nil,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) )
| ~ spl53_23 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f819,plain,
( ! [X0,X1] :
( ~ ssItem(sK52(X0,nil,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != sK49 )
| ~ spl53_22 ),
inference(duplicate_literal_removal,[],[f801]) ).
fof(f801,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK52(X0,nil,X1))
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl53_22 ),
inference(superposition,[],[f724,f509]) ).
fof(f724,plain,
( ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK52(X0,nil,X1)) )
| ~ spl53_22 ),
inference(resolution,[],[f715,f451]) ).
fof(f451,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/tmp/tmp.bFd6E1DUhW/Vampire---4.8_17229',ax38) ).
fof(f715,plain,
( ! [X0,X1] :
( memberP(nil,sK52(X0,nil,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) )
| ~ spl53_22 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f720,plain,
( ~ spl53_3
| spl53_23
| ~ spl53_8 ),
inference(avatar_split_clause,[],[f696,f623,f718,f603]) ).
fof(f603,plain,
( spl53_3
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_3])]) ).
fof(f623,plain,
( spl53_8
<=> ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f696,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) )
| ~ spl53_8 ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f695,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) )
| ~ spl53_8 ),
inference(resolution,[],[f420,f624]) ).
fof(f624,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) )
| ~ spl53_8 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f420,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.bFd6E1DUhW/Vampire---4.8_17229',ax16) ).
fof(f716,plain,
( ~ spl53_3
| spl53_22
| ~ spl53_4 ),
inference(avatar_split_clause,[],[f697,f607,f714,f603]) ).
fof(f607,plain,
( spl53_4
<=> ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f697,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) )
| ~ spl53_4 ),
inference(duplicate_literal_removal,[],[f694]) ).
fof(f694,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) )
| ~ spl53_4 ),
inference(resolution,[],[f420,f608]) ).
fof(f608,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) )
| ~ spl53_4 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f675,plain,
spl53_11,
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| spl53_11 ),
inference(resolution,[],[f647,f530]) ).
fof(f530,plain,
ssList(sK49),
inference(cnf_transformation,[],[f337]) ).
fof(f337,plain,
( ( nil != sK49
| nil = sK50 )
& ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != sK51
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& sK50 = app(sK49,sK51)
& ssList(sK51)
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ( ~ lt(X9,sK52(X9,X10,X11))
& leq(X9,sK52(X9,X10,X11))
& memberP(X11,sK52(X9,X10,X11))
& memberP(X10,sK52(X9,X10,X11))
& ssItem(sK52(X9,X10,X11)) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& 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])],[f222,f336,f335,f334,f333,f332,f331]) ).
fof(f331,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [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
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ lt(X9,X12)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != X0
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [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
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ lt(X9,X12)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f332,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [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
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ lt(X9,X12)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [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
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ lt(X9,X12)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [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
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ lt(X9,X12)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil != sK49
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& app(sK49,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ lt(X9,X12)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
( ? [X3] :
( ( nil != sK49
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& app(sK49,X4) = X3
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ lt(X9,X12)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
=> ( ( nil != sK49
| nil = sK50 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& app(sK49,X4) = sK50
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ lt(X9,X12)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != sK47
& sK47 = sK49
& sK48 = sK50
& ssList(sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& app(sK49,X4) = sK50
& ssList(X4) )
=> ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| app(X8,cons(X7,nil)) != sK49
| ~ ssList(X8) )
| ~ ssItem(X7) )
| app(cons(X5,nil),X6) != sK51
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(sK49)
& sK50 = app(sK49,sK51)
& ssList(sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
! [X9,X10,X11] :
( ? [X12] :
( ~ lt(X9,X12)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
=> ( ~ lt(X9,sK52(X9,X10,X11))
& leq(X9,sK52(X9,X10,X11))
& memberP(X11,sK52(X9,X10,X11))
& memberP(X10,sK52(X9,X10,X11))
& ssItem(sK52(X9,X10,X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [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
& ssList(X4) )
& ! [X9] :
( ! [X10] :
( ! [X11] :
( ? [X12] :
( ~ lt(X9,X12)
& leq(X9,X12)
& memberP(X11,X12)
& memberP(X10,X12)
& ssItem(X12) )
| app(app(X10,cons(X9,nil)),X11) != X0
| ~ ssList(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& nil != X0
& 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] :
( ( nil = X2
& nil != X3 )
| ! [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
| ~ ssList(X4) )
| ? [X9] :
( ? [X10] :
( ? [X11] :
( ! [X12] :
( lt(X9,X12)
| ~ leq(X9,X12)
| ~ memberP(X11,X12)
| ~ memberP(X10,X12)
| ~ ssItem(X12) )
& app(app(X10,cons(X9,nil)),X11) = X0
& ssList(X11) )
& ssList(X10) )
& ssItem(X9) )
| nil = X0
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| ! [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( lt(X11,X9)
& app(X12,cons(X11,nil)) = X2
& ssList(X12) )
& ssItem(X11) )
& app(cons(X9,nil),X10) = X8
& ssList(X10) )
& ssItem(X9) )
| ~ strictorderedP(X2)
| app(X2,X8) != X3
| ~ ssList(X8) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( lt(X4,X7)
| ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| ! [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( lt(X11,X9)
& app(X12,cons(X11,nil)) = X2
& ssList(X12) )
& ssItem(X11) )
& app(cons(X9,nil),X10) = X8
& ssList(X10) )
& ssItem(X9) )
| ~ strictorderedP(X2)
| app(X2,X8) != X3
| ~ ssList(X8) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( lt(X4,X7)
| ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bFd6E1DUhW/Vampire---4.8_17229',co1) ).
fof(f647,plain,
( ~ ssList(sK49)
| spl53_11 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f627,plain,
spl53_3,
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f626,plain,
( $false
| spl53_3 ),
inference(resolution,[],[f605,f421]) ).
fof(f421,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.bFd6E1DUhW/Vampire---4.8_17229',ax17) ).
fof(f605,plain,
( ~ ssList(nil)
| spl53_3 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f625,plain,
( ~ spl53_3
| spl53_8 ),
inference(avatar_split_clause,[],[f601,f623,f603]) ).
fof(f601,plain,
! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ssItem(sK52(X0,nil,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f549,f435]) ).
fof(f435,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.bFd6E1DUhW/Vampire---4.8_17229',ax28) ).
fof(f549,plain,
! [X10,X11,X9] :
( app(app(X10,cons(X9,nil)),X11) != sK49
| ssItem(sK52(X9,X10,X11))
| ~ ssList(X11)
| ~ ssList(X10)
| ~ ssItem(X9) ),
inference(definition_unfolding,[],[f535,f533]) ).
fof(f533,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f337]) ).
fof(f535,plain,
! [X10,X11,X9] :
( ssItem(sK52(X9,X10,X11))
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11)
| ~ ssList(X10)
| ~ ssItem(X9) ),
inference(cnf_transformation,[],[f337]) ).
fof(f609,plain,
( ~ spl53_3
| spl53_4 ),
inference(avatar_split_clause,[],[f597,f607,f603]) ).
fof(f597,plain,
! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| memberP(nil,sK52(X0,nil,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f548,f435]) ).
fof(f548,plain,
! [X10,X11,X9] :
( app(app(X10,cons(X9,nil)),X11) != sK49
| memberP(X10,sK52(X9,X10,X11))
| ~ ssList(X11)
| ~ ssList(X10)
| ~ ssItem(X9) ),
inference(definition_unfolding,[],[f536,f533]) ).
fof(f536,plain,
! [X10,X11,X9] :
( memberP(X10,sK52(X9,X10,X11))
| app(app(X10,cons(X9,nil)),X11) != sK47
| ~ ssList(X11)
| ~ ssList(X10)
| ~ ssItem(X9) ),
inference(cnf_transformation,[],[f337]) ).
fof(f596,plain,
~ spl53_2,
inference(avatar_split_clause,[],[f550,f592]) ).
fof(f550,plain,
nil != sK49,
inference(definition_unfolding,[],[f534,f533]) ).
fof(f534,plain,
nil != sK47,
inference(cnf_transformation,[],[f337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC237+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % 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 : n002.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 18:34:55 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.bFd6E1DUhW/Vampire---4.8_17229
% 0.61/0.76 % (17489)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)
% 0.61/0.76 % (17484)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)
% 0.61/0.76 % (17486)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)
% 0.61/0.76 % (17485)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76 % (17483)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)
% 0.61/0.76 % (17490)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)
% 0.61/0.76 % (17487)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)
% 0.61/0.77 % (17488)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)
% 0.61/0.78 % (17484)First to succeed.
% 0.61/0.78 % (17486)Instruction limit reached!
% 0.61/0.78 % (17486)------------------------------
% 0.61/0.78 % (17486)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (17486)Termination reason: Unknown
% 0.61/0.78 % (17486)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (17486)Memory used [KB]: 1737
% 0.61/0.78 % (17486)Time elapsed: 0.020 s
% 0.61/0.78 % (17486)Instructions burned: 34 (million)
% 0.61/0.78 % (17486)------------------------------
% 0.61/0.78 % (17486)------------------------------
% 0.61/0.78 % (17487)Instruction limit reached!
% 0.61/0.78 % (17487)------------------------------
% 0.61/0.78 % (17487)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (17487)Termination reason: Unknown
% 0.61/0.78 % (17487)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (17487)Memory used [KB]: 1922
% 0.61/0.78 % (17487)Time elapsed: 0.019 s
% 0.61/0.78 % (17487)Instructions burned: 34 (million)
% 0.61/0.78 % (17487)------------------------------
% 0.61/0.78 % (17487)------------------------------
% 0.61/0.78 % (17484)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (17484)------------------------------
% 0.61/0.78 % (17484)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (17484)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (17484)Memory used [KB]: 1493
% 0.61/0.78 % (17484)Time elapsed: 0.021 s
% 0.61/0.78 % (17484)Instructions burned: 32 (million)
% 0.61/0.78 % (17484)------------------------------
% 0.61/0.78 % (17484)------------------------------
% 0.61/0.78 % (17479)Success in time 0.394 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------