TSTP Solution File: SWC421+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC421+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 : n027.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 : Sun May 5 09:50:59 EDT 2024
% Result : Theorem 0.59s 0.78s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 30
% Syntax : Number of formulae : 127 ( 13 unt; 0 def)
% Number of atoms : 748 ( 242 equ)
% Maximal formula atoms : 54 ( 5 avg)
% Number of connectives : 1061 ( 440 ~; 425 |; 147 &)
% ( 17 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 217 ( 172 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1016,plain,
$false,
inference(avatar_sat_refutation,[],[f609,f614,f624,f655,f657,f669,f693,f709,f766,f797,f966,f968,f993,f996,f1003,f1006]) ).
fof(f1006,plain,
( ~ spl51_15
| ~ spl51_17
| spl51_9
| spl51_7 ),
inference(avatar_split_clause,[],[f1004,f606,f616,f661,f649]) ).
fof(f649,plain,
( spl51_15
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_15])]) ).
fof(f661,plain,
( spl51_17
<=> ssList(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_17])]) ).
fof(f616,plain,
( spl51_9
<=> nil = sK49 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f606,plain,
( spl51_7
<=> neq(nil,sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f1004,plain,
( nil = sK49
| ~ ssList(sK49)
| ~ ssList(nil)
| spl51_7 ),
inference(resolution,[],[f608,f418]) ).
fof(f418,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iEreBnPNzU/Vampire---4.8_31310',ax15) ).
fof(f608,plain,
( ~ neq(nil,sK49)
| spl51_7 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f1003,plain,
( ~ spl51_15
| ~ spl51_6
| spl51_5 ),
inference(avatar_split_clause,[],[f1002,f598,f602,f649]) ).
fof(f602,plain,
( spl51_6
<=> ssItem(hd(sK49)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).
fof(f598,plain,
( spl51_5
<=> ssList(cons(hd(sK49),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).
fof(f1002,plain,
( ~ ssItem(hd(sK49))
| ~ ssList(nil)
| spl51_5 ),
inference(resolution,[],[f600,f419]) ).
fof(f419,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.iEreBnPNzU/Vampire---4.8_31310',ax16) ).
fof(f600,plain,
( ~ ssList(cons(hd(sK49),nil))
| spl51_5 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f996,plain,
( ~ spl51_23
| spl51_38 ),
inference(avatar_split_clause,[],[f995,f990,f697]) ).
fof(f697,plain,
( spl51_23
<=> ssList(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_23])]) ).
fof(f990,plain,
( spl51_38
<=> sK50 = app(sK50,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_38])]) ).
fof(f995,plain,
( ~ ssList(sK50)
| spl51_38 ),
inference(trivial_inequality_removal,[],[f994]) ).
fof(f994,plain,
( sK50 != sK50
| ~ ssList(sK50)
| spl51_38 ),
inference(superposition,[],[f992,f513]) ).
fof(f513,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.iEreBnPNzU/Vampire---4.8_31310',ax84) ).
fof(f992,plain,
( sK50 != app(sK50,nil)
| spl51_38 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f993,plain,
( ~ spl51_17
| spl51_9
| ~ spl51_6
| ~ spl51_4
| ~ spl51_38
| ~ spl51_3
| ~ spl51_22 ),
inference(avatar_split_clause,[],[f988,f691,f590,f990,f594,f602,f616,f661]) ).
fof(f594,plain,
( spl51_4
<=> ssList(tl(sK49)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).
fof(f590,plain,
( spl51_3
<=> sK50 = app(tl(sK49),cons(hd(sK49),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).
fof(f691,plain,
( spl51_22
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK50 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_22])]) ).
fof(f988,plain,
( sK50 != app(sK50,nil)
| ~ ssList(tl(sK49))
| ~ ssItem(hd(sK49))
| nil = sK49
| ~ ssList(sK49)
| ~ spl51_3
| ~ spl51_22 ),
inference(forward_demodulation,[],[f987,f592]) ).
fof(f592,plain,
( sK50 = app(tl(sK49),cons(hd(sK49),nil))
| ~ spl51_3 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f987,plain,
( sK50 != app(app(tl(sK49),cons(hd(sK49),nil)),nil)
| ~ ssList(tl(sK49))
| ~ ssItem(hd(sK49))
| nil = sK49
| ~ ssList(sK49)
| ~ spl51_22 ),
inference(equality_resolution,[],[f883]) ).
fof(f883,plain,
( ! [X0] :
( sK49 != X0
| sK50 != app(app(tl(X0),cons(hd(X0),nil)),nil)
| ~ ssList(tl(X0))
| ~ ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl51_22 ),
inference(superposition,[],[f879,f505]) ).
fof(f505,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.iEreBnPNzU/Vampire---4.8_31310',ax78) ).
fof(f879,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| sK50 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl51_22 ),
inference(duplicate_literal_removal,[],[f869]) ).
fof(f869,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| sK50 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl51_22 ),
inference(superposition,[],[f692,f508]) ).
fof(f508,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.iEreBnPNzU/Vampire---4.8_31310',ax81) ).
fof(f692,plain,
( ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| sK50 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl51_22 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f968,plain,
( ~ spl51_17
| spl51_9
| spl51_4 ),
inference(avatar_split_clause,[],[f967,f594,f616,f661]) ).
fof(f967,plain,
( nil = sK49
| ~ ssList(sK49)
| spl51_4 ),
inference(resolution,[],[f596,f430]) ).
fof(f430,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.iEreBnPNzU/Vampire---4.8_31310',ax24) ).
fof(f596,plain,
( ~ ssList(tl(sK49))
| spl51_4 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f966,plain,
( ~ spl51_15
| ~ spl51_8
| ~ spl51_9 ),
inference(avatar_split_clause,[],[f965,f616,f611,f649]) ).
fof(f611,plain,
( spl51_8
<=> neq(sK49,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_8])]) ).
fof(f965,plain,
( ~ ssList(nil)
| ~ spl51_8
| ~ spl51_9 ),
inference(resolution,[],[f904,f578]) ).
fof(f578,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f556]) ).
fof(f556,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f417]) ).
fof(f417,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f904,plain,
( neq(nil,nil)
| ~ spl51_8
| ~ spl51_9 ),
inference(superposition,[],[f613,f618]) ).
fof(f618,plain,
( nil = sK49
| ~ spl51_9 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f613,plain,
( neq(sK49,nil)
| ~ spl51_8 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f797,plain,
( ~ spl51_4
| ~ spl51_5
| spl51_2 ),
inference(avatar_split_clause,[],[f787,f586,f598,f594]) ).
fof(f586,plain,
( spl51_2
<=> ssList(app(tl(sK49),cons(hd(sK49),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).
fof(f787,plain,
( ~ ssList(cons(hd(sK49),nil))
| ~ ssList(tl(sK49))
| spl51_2 ),
inference(resolution,[],[f432,f588]) ).
fof(f588,plain,
( ~ ssList(app(tl(sK49),cons(hd(sK49),nil)))
| spl51_2 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f432,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.iEreBnPNzU/Vampire---4.8_31310',ax26) ).
fof(f766,plain,
( ~ spl51_17
| spl51_9
| spl51_6 ),
inference(avatar_split_clause,[],[f765,f602,f616,f661]) ).
fof(f765,plain,
( nil = sK49
| ~ ssList(sK49)
| spl51_6 ),
inference(resolution,[],[f428,f604]) ).
fof(f604,plain,
( ~ ssItem(hd(sK49))
| spl51_6 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f428,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.iEreBnPNzU/Vampire---4.8_31310',ax22) ).
fof(f709,plain,
spl51_23,
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f708,plain,
( $false
| spl51_23 ),
inference(resolution,[],[f699,f530]) ).
fof(f530,plain,
ssList(sK50),
inference(cnf_transformation,[],[f336]) ).
fof(f336,plain,
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK49)
| ! [X7] :
( ~ neq(nil,sK49)
| hd(sK49) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK49) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK50 = X4
| ~ ssList(X4) )
& neq(sK49,nil) )
| ~ neq(sK50,nil) )
& ( nil != sK50
| nil = sK49 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = sK49
& sK48 = sK50
& ssList(sK50)
& ssList(sK49)
& ssList(sK48)
& ssList(sK47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50])],[f223,f335,f334,f333,f332]) ).
fof(f332,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != X0
| app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(X1,nil)
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(X1,nil)
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK49)
| ! [X7] :
( ~ neq(nil,sK49)
| hd(sK49) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK49) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(sK49,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = sK49 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK49)
| ! [X7] :
( ~ neq(nil,sK49)
| hd(sK49) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK49) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(sK49,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = sK49 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
=> ( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK49)
| ! [X7] :
( ~ neq(nil,sK49)
| hd(sK49) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK49) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK50 = X4
| ~ ssList(X4) )
& neq(sK49,nil) )
| ~ neq(sK50,nil) )
& ( nil != sK50
| nil = sK49 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = sK49
& sK48 = sK50
& ssList(sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != X0
| app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != X0
| app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(X1,nil)
& 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)
=> ( ( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( neq(nil,X2)
& ? [X7] :
( neq(nil,X2)
& hd(X2) = X7
& cons(X7,nil) = X6
& ssItem(X7) )
& app(X5,X6) = X4
& tl(X2) = X5
& ssList(X6) )
& ssList(X5) )
& X3 != X4
& ssList(X4) )
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( nil = X3
& nil != X2 )
| ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X10,cons(X8,nil)),X9) = X0
& app(app(X9,cons(X8,nil)),X10) = X1
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X7] :
( ? [X8] :
( ? [X9] :
( neq(nil,X2)
& ? [X10] :
( neq(nil,X2)
& hd(X2) = X10
& cons(X10,nil) = X9
& ssItem(X10) )
& app(X8,X9) = X7
& tl(X2) = X8
& ssList(X9) )
& ssList(X8) )
& X3 != X7
& ssList(X7) )
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X7] :
( ? [X8] :
( ? [X9] :
( neq(nil,X2)
& ? [X10] :
( neq(nil,X2)
& hd(X2) = X10
& cons(X10,nil) = X9
& ssItem(X10) )
& app(X8,X9) = X7
& tl(X2) = X8
& ssList(X9) )
& ssList(X8) )
& X3 != X7
& ssList(X7) )
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iEreBnPNzU/Vampire---4.8_31310',co1) ).
fof(f699,plain,
( ~ ssList(sK50)
| spl51_23 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f693,plain,
( ~ spl51_15
| spl51_22
| ~ spl51_16 ),
inference(avatar_split_clause,[],[f684,f653,f691,f649]) ).
fof(f653,plain,
( spl51_16
<=> ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK50 != app(app(X1,cons(X0,nil)),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_16])]) ).
fof(f684,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssList(X1)
| sK50 != app(app(X1,cons(X0,nil)),nil) )
| ~ spl51_16 ),
inference(duplicate_literal_removal,[],[f683]) ).
fof(f683,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| sK50 != app(app(X1,cons(X0,nil)),nil) )
| ~ spl51_16 ),
inference(resolution,[],[f419,f654]) ).
fof(f654,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| sK50 != app(app(X1,cons(X0,nil)),nil) )
| ~ spl51_16 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f669,plain,
spl51_17,
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| spl51_17 ),
inference(resolution,[],[f663,f529]) ).
fof(f529,plain,
ssList(sK49),
inference(cnf_transformation,[],[f336]) ).
fof(f663,plain,
( ~ ssList(sK49)
| spl51_17 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f657,plain,
spl51_15,
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| spl51_15 ),
inference(resolution,[],[f651,f420]) ).
fof(f420,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.iEreBnPNzU/Vampire---4.8_31310',ax17) ).
fof(f651,plain,
( ~ ssList(nil)
| spl51_15 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f655,plain,
( ~ spl51_15
| spl51_16 ),
inference(avatar_split_clause,[],[f647,f653,f649]) ).
fof(f647,plain,
! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| sK50 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f538,f434]) ).
fof(f434,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.iEreBnPNzU/Vampire---4.8_31310',ax28) ).
fof(f538,plain,
! [X10,X8,X9] :
( app(app(X10,cons(X8,nil)),X9) != sK49
| app(app(X9,cons(X8,nil)),X10) != sK50
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(definition_unfolding,[],[f534,f532,f531]) ).
fof(f531,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f336]) ).
fof(f532,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f336]) ).
fof(f534,plain,
! [X10,X8,X9] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f336]) ).
fof(f624,plain,
spl51_1,
inference(avatar_split_clause,[],[f539,f582]) ).
fof(f582,plain,
( spl51_1
<=> neq(sK50,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f539,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f533,f531]) ).
fof(f533,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f336]) ).
fof(f614,plain,
( ~ spl51_1
| spl51_8 ),
inference(avatar_split_clause,[],[f536,f611,f582]) ).
fof(f536,plain,
( neq(sK49,nil)
| ~ neq(sK50,nil) ),
inference(cnf_transformation,[],[f336]) ).
fof(f609,plain,
( ~ spl51_1
| ~ spl51_2
| spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_6
| ~ spl51_7 ),
inference(avatar_split_clause,[],[f573,f606,f602,f598,f594,f590,f586,f582]) ).
fof(f573,plain,
( ~ neq(nil,sK49)
| ~ ssItem(hd(sK49))
| ~ ssList(cons(hd(sK49),nil))
| ~ ssList(tl(sK49))
| sK50 = app(tl(sK49),cons(hd(sK49),nil))
| ~ ssList(app(tl(sK49),cons(hd(sK49),nil)))
| ~ neq(sK50,nil) ),
inference(duplicate_literal_removal,[],[f572]) ).
fof(f572,plain,
( ~ neq(nil,sK49)
| ~ neq(nil,sK49)
| ~ ssItem(hd(sK49))
| ~ ssList(cons(hd(sK49),nil))
| ~ ssList(tl(sK49))
| sK50 = app(tl(sK49),cons(hd(sK49),nil))
| ~ ssList(app(tl(sK49),cons(hd(sK49),nil)))
| ~ neq(sK50,nil) ),
inference(equality_resolution,[],[f571]) ).
fof(f571,plain,
! [X5] :
( ~ neq(nil,sK49)
| ~ neq(nil,sK49)
| ~ ssItem(hd(sK49))
| tl(sK49) != X5
| ~ ssList(cons(hd(sK49),nil))
| ~ ssList(X5)
| sK50 = app(X5,cons(hd(sK49),nil))
| ~ ssList(app(X5,cons(hd(sK49),nil)))
| ~ neq(sK50,nil) ),
inference(equality_resolution,[],[f570]) ).
fof(f570,plain,
! [X4,X5] :
( ~ neq(nil,sK49)
| ~ neq(nil,sK49)
| ~ ssItem(hd(sK49))
| app(X5,cons(hd(sK49),nil)) != X4
| tl(sK49) != X5
| ~ ssList(cons(hd(sK49),nil))
| ~ ssList(X5)
| sK50 = X4
| ~ ssList(X4)
| ~ neq(sK50,nil) ),
inference(equality_resolution,[],[f569]) ).
fof(f569,plain,
! [X6,X4,X5] :
( ~ neq(nil,sK49)
| ~ neq(nil,sK49)
| cons(hd(sK49),nil) != X6
| ~ ssItem(hd(sK49))
| app(X5,X6) != X4
| tl(sK49) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK50 = X4
| ~ ssList(X4)
| ~ neq(sK50,nil) ),
inference(equality_resolution,[],[f537]) ).
fof(f537,plain,
! [X6,X7,X4,X5] :
( ~ neq(nil,sK49)
| ~ neq(nil,sK49)
| hd(sK49) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7)
| app(X5,X6) != X4
| tl(sK49) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK50 = X4
| ~ ssList(X4)
| ~ neq(sK50,nil) ),
inference(cnf_transformation,[],[f336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC421+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15 % 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
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:24:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 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.iEreBnPNzU/Vampire---4.8_31310
% 0.59/0.75 % (31572)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)
% 0.59/0.76 % (31566)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)
% 0.59/0.76 % (31567)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)
% 0.59/0.76 % (31569)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)
% 0.59/0.76 % (31568)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76 % (31570)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)
% 0.59/0.76 % (31571)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)
% 0.59/0.76 % (31573)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)
% 0.59/0.77 % (31569)Instruction limit reached!
% 0.59/0.77 % (31569)------------------------------
% 0.59/0.77 % (31569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (31570)Instruction limit reached!
% 0.59/0.77 % (31570)------------------------------
% 0.59/0.77 % (31570)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (31570)Termination reason: Unknown
% 0.59/0.77 % (31570)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (31570)Memory used [KB]: 2037
% 0.59/0.77 % (31570)Time elapsed: 0.020 s
% 0.59/0.77 % (31570)Instructions burned: 34 (million)
% 0.59/0.77 % (31570)------------------------------
% 0.59/0.77 % (31570)------------------------------
% 0.59/0.77 % (31569)Termination reason: Unknown
% 0.59/0.77 % (31569)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (31569)Memory used [KB]: 1626
% 0.59/0.77 % (31569)Time elapsed: 0.020 s
% 0.59/0.77 % (31569)Instructions burned: 34 (million)
% 0.59/0.77 % (31569)------------------------------
% 0.59/0.77 % (31569)------------------------------
% 0.59/0.77 % (31567)First to succeed.
% 0.59/0.77 % (31566)Instruction limit reached!
% 0.59/0.77 % (31566)------------------------------
% 0.59/0.77 % (31566)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (31566)Termination reason: Unknown
% 0.59/0.77 % (31566)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (31566)Memory used [KB]: 1532
% 0.59/0.77 % (31566)Time elapsed: 0.021 s
% 0.59/0.77 % (31566)Instructions burned: 34 (million)
% 0.59/0.77 % (31566)------------------------------
% 0.59/0.77 % (31566)------------------------------
% 0.59/0.78 % (31572)Instruction limit reached!
% 0.59/0.78 % (31572)------------------------------
% 0.59/0.78 % (31572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (31572)Termination reason: Unknown
% 0.59/0.78 % (31572)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (31572)Memory used [KB]: 2035
% 0.59/0.78 % (31572)Time elapsed: 0.024 s
% 0.59/0.78 % (31572)Instructions burned: 83 (million)
% 0.59/0.78 % (31572)------------------------------
% 0.59/0.78 % (31572)------------------------------
% 0.59/0.78 % (31567)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31562"
% 0.59/0.78 % (31567)Refutation found. Thanks to Tanya!
% 0.59/0.78 % SZS status Theorem for Vampire---4
% 0.59/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.78 % (31567)------------------------------
% 0.59/0.78 % (31567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (31567)Termination reason: Refutation
% 0.59/0.78
% 0.59/0.78 % (31567)Memory used [KB]: 1583
% 0.59/0.78 % (31567)Time elapsed: 0.023 s
% 0.59/0.78 % (31567)Instructions burned: 37 (million)
% 0.59/0.78 % (31562)Success in time 0.393 s
% 0.59/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------