%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC414+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:05:57 PM UTC 2026
% Result : Theorem 19.12s 4.62s
% Output : Refutation 19.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 19
% Syntax : Number of formulae : 198 ( 21 unt; 14 def)
% Number of atoms : 699 ( 122 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 864 ( 363 ~; 422 |; 39 &)
% ( 14 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 178 ( 0 sgn 149 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X1
& app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) = X0 ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> app(app(cons(X9,nil),cons(X10,nil)),X11) != X1 ) ) )
| ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ~ ssList(X14)
| app(app(cons(X12,nil),cons(X13,nil)),X14) != X3
| app(app(cons(X13,nil),cons(X12,nil)),X14) != X2 ) ) ) )
& ( ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ssList(X17)
& app(app(cons(X15,nil),cons(X16,nil)),X17) = X3 ) ) )
| ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ssItem(X19)
=> ! [X20] :
( ssList(X20)
=> app(app(cons(X18,nil),cons(X19,nil)),X20) != X1 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X1
& app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) = X0 ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> app(app(cons(X9,nil),cons(X10,nil)),X11) != X1 ) ) )
| ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ~ ssList(X14)
| app(app(cons(X12,nil),cons(X13,nil)),X14) != X3
| app(app(cons(X13,nil),cons(X12,nil)),X14) != X2 ) ) ) )
& ( ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssItem(X16)
& ? [X17] :
( ssList(X17)
& app(app(cons(X15,nil),cons(X16,nil)),X17) = X3 ) ) )
| ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ssItem(X19)
=> ! [X20] :
( ssList(X20)
=> app(app(cons(X18,nil),cons(X19,nil)),X20) != X1 ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( ( ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X1
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != X0 ) ) ) ) )
& ? [X9] :
( ? [X10] :
( ? [X11] :
( app(app(cons(X9,nil),cons(X10,nil)),X11) = X1
& ssList(X11) )
& ssItem(X10) )
& ssItem(X9) )
& ? [X12] :
( ? [X13] :
( ? [X14] :
( ssList(X14)
& app(app(cons(X12,nil),cons(X13,nil)),X14) = X3
& app(app(cons(X13,nil),cons(X12,nil)),X14) = X2 )
& ssItem(X13) )
& ssItem(X12) ) )
| ( ! [X15] :
( ~ ssItem(X15)
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( ~ ssList(X17)
| app(app(cons(X15,nil),cons(X16,nil)),X17) != X3 ) ) )
& ? [X18] :
( ? [X19] :
( ? [X20] :
( app(app(cons(X18,nil),cons(X19,nil)),X20) = X1
& ssList(X20) )
& ssItem(X19) )
& ssItem(X18) ) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f304,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f305,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f319,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f396,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f410,plain,
! [X8,X6,X7,X4,X5] :
( ssItem(sK54)
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK47
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK48
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f221]) ).
fof(f411,plain,
! [X8,X6,X7,X4,X5] :
( ssItem(sK51)
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK47
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK48
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f221]) ).
fof(f412,plain,
! [X8,X6,X7,X4,X5] :
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK47
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK48
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f221]) ).
fof(f413,plain,
! [X8,X6,X7,X4,X5] :
( ssList(sK57)
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK47
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK48
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f221]) ).
fof(f414,plain,
! [X8,X6,X16,X7,X4,X17,X15,X5] :
( app(app(cons(X15,nil),cons(X16,nil)),X17) != sK50
| ~ ssList(X17)
| ~ ssItem(X16)
| ~ ssItem(X15)
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK47
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK48
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f221]) ).
fof(f425,plain,
( ssItem(sK54)
| sK49 = app(app(cons(sK55,nil),cons(sK52,nil)),sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f426,plain,
( ssItem(sK54)
| sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f427,plain,
( ssItem(sK54)
| ssList(sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f428,plain,
( ssItem(sK51)
| sK49 = app(app(cons(sK55,nil),cons(sK52,nil)),sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f429,plain,
( ssItem(sK51)
| sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f430,plain,
( ssItem(sK51)
| ssList(sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f431,plain,
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| sK49 = app(app(cons(sK55,nil),cons(sK52,nil)),sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f432,plain,
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f433,plain,
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssList(sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f434,plain,
( ssList(sK57)
| sK49 = app(app(cons(sK55,nil),cons(sK52,nil)),sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f435,plain,
( ssList(sK57)
| sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f436,plain,
( ssList(sK57)
| ssList(sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f437,plain,
! [X16,X17,X15] :
( app(app(cons(X15,nil),cons(X16,nil)),X17) != sK50
| ~ ssList(X17)
| ~ ssItem(X16)
| ~ ssItem(X15)
| sK49 = app(app(cons(sK55,nil),cons(sK52,nil)),sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f438,plain,
! [X16,X17,X15] :
( app(app(cons(X15,nil),cons(X16,nil)),X17) != sK50
| ~ ssList(X17)
| ~ ssItem(X16)
| ~ ssItem(X15)
| sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f439,plain,
! [X16,X17,X15] :
( app(app(cons(X15,nil),cons(X16,nil)),X17) != sK50
| ~ ssList(X17)
| ~ ssItem(X16)
| ~ ssItem(X15)
| ssList(sK58) ),
inference(cnf_transformation,[],[f221]) ).
fof(f441,plain,
! [X16,X17,X15] :
( app(app(cons(X15,nil),cons(X16,nil)),X17) != sK50
| ~ ssList(X17)
| ~ ssItem(X16)
| ~ ssItem(X15)
| ssItem(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f442,plain,
! [X16,X17,X15] :
( app(app(cons(X15,nil),cons(X16,nil)),X17) != sK50
| ~ ssList(X17)
| ~ ssItem(X16)
| ~ ssItem(X15)
| ssItem(sK55) ),
inference(cnf_transformation,[],[f221]) ).
fof(f446,plain,
( ssList(sK57)
| ssItem(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f447,plain,
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssItem(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f448,plain,
( ssList(sK57)
| ssItem(sK55) ),
inference(cnf_transformation,[],[f221]) ).
fof(f449,plain,
( sK48 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssItem(sK55) ),
inference(cnf_transformation,[],[f221]) ).
fof(f454,plain,
( ssItem(sK51)
| ssItem(sK55) ),
inference(cnf_transformation,[],[f221]) ).
fof(f455,plain,
( ssItem(sK54)
| ssItem(sK55) ),
inference(cnf_transformation,[],[f221]) ).
fof(f456,plain,
( ssItem(sK54)
| ssItem(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f459,plain,
( ssItem(sK51)
| ssItem(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f460,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f461,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f221]) ).
fof(f469,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssItem(sK55) ),
inference(definition_unfolding,[],[f449,f461]) ).
fof(f470,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssItem(sK52) ),
inference(definition_unfolding,[],[f447,f461]) ).
fof(f472,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ssList(sK58) ),
inference(definition_unfolding,[],[f433,f461]) ).
fof(f473,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
inference(definition_unfolding,[],[f432,f461]) ).
fof(f474,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| sK49 = app(app(cons(sK55,nil),cons(sK52,nil)),sK58) ),
inference(definition_unfolding,[],[f431,f461]) ).
fof(f481,plain,
! [X8,X6,X16,X7,X4,X17,X15,X5] :
( app(app(cons(X15,nil),cons(X16,nil)),X17) != sK50
| ~ ssList(X17)
| ~ ssItem(X16)
| ~ ssItem(X15)
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK49
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK50
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f414,f460,f461]) ).
fof(f482,plain,
! [X8,X6,X7,X4,X5] :
( ssList(sK57)
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK49
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK50
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f413,f460,f461]) ).
fof(f483,plain,
! [X8,X6,X7,X4,X5] :
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK49
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK50
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f412,f461,f460,f461]) ).
fof(f484,plain,
! [X8,X6,X7,X4,X5] :
( ssItem(sK51)
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK49
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK50
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f411,f460,f461]) ).
fof(f485,plain,
! [X8,X6,X7,X4,X5] :
( ssItem(sK54)
| app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK49
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK50
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f410,f460,f461]) ).
fof(f519,definition,
( spl60_1
<=> ! [X6,X4,X7,X5,X8] :
( app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK49
| ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK50 ) ),
introduced(definition,[new_symbols(definition,[spl60_1])],[avatar_definition]) ).
fof(f520,plain,
( ! [X8,X6,X7,X4,X5] :
( app(app(app(app(X6,cons(X5,nil)),X7),cons(X4,nil)),X8) != sK49
| ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK50 )
| ~ spl60_1 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f522,definition,
( spl60_2
<=> ssItem(sK54) ),
introduced(definition,[new_symbols(definition,[spl60_2])],[avatar_definition]) ).
fof(f524,plain,
( ssItem(sK54)
| ~ spl60_2 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f525,plain,
( spl60_1
| spl60_2 ),
inference(avatar_split_clause,[],[f485,f522,f519]) ).
fof(f527,definition,
( spl60_3
<=> ssItem(sK51) ),
introduced(definition,[new_symbols(definition,[spl60_3])],[avatar_definition]) ).
fof(f529,plain,
( ssItem(sK51)
| ~ spl60_3 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f530,plain,
( spl60_1
| spl60_3 ),
inference(avatar_split_clause,[],[f484,f527,f519]) ).
fof(f532,definition,
( spl60_4
<=> sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57) ),
introduced(definition,[new_symbols(definition,[spl60_4])],[avatar_definition]) ).
fof(f534,plain,
( sK50 = app(app(cons(sK51,nil),cons(sK54,nil)),sK57)
| ~ spl60_4 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f535,plain,
( spl60_1
| spl60_4 ),
inference(avatar_split_clause,[],[f483,f532,f519]) ).
fof(f537,definition,
( spl60_5
<=> ssList(sK57) ),
introduced(definition,[new_symbols(definition,[spl60_5])],[avatar_definition]) ).
fof(f539,plain,
( ssList(sK57)
| ~ spl60_5 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f540,plain,
( spl60_1
| spl60_5 ),
inference(avatar_split_clause,[],[f482,f537,f519]) ).
fof(f542,definition,
( spl60_6
<=> ! [X16,X17,X15] :
( app(app(cons(X15,nil),cons(X16,nil)),X17) != sK50
| ~ ssItem(X15)
| ~ ssItem(X16)
| ~ ssList(X17) ) ),
introduced(definition,[new_symbols(definition,[spl60_6])],[avatar_definition]) ).
fof(f543,plain,
( ! [X16,X17,X15] :
( app(app(cons(X15,nil),cons(X16,nil)),X17) != sK50
| ~ ssItem(X15)
| ~ ssItem(X16)
| ~ ssList(X17) )
| ~ spl60_6 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f544,plain,
( spl60_1
| spl60_6 ),
inference(avatar_split_clause,[],[f481,f542,f519]) ).
fof(f564,definition,
( spl60_9
<=> sK49 = app(app(cons(sK55,nil),cons(sK52,nil)),sK58) ),
introduced(definition,[new_symbols(definition,[spl60_9])],[avatar_definition]) ).
fof(f566,plain,
( sK49 = app(app(cons(sK55,nil),cons(sK52,nil)),sK58)
| ~ spl60_9 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,plain,
( spl60_9
| spl60_2 ),
inference(avatar_split_clause,[],[f425,f522,f564]) ).
fof(f569,definition,
( spl60_10
<=> sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58) ),
introduced(definition,[new_symbols(definition,[spl60_10])],[avatar_definition]) ).
fof(f571,plain,
( sK50 = app(app(cons(sK52,nil),cons(sK55,nil)),sK58)
| ~ spl60_10 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f572,plain,
( spl60_10
| spl60_2 ),
inference(avatar_split_clause,[],[f426,f522,f569]) ).
fof(f574,definition,
( spl60_11
<=> ssList(sK58) ),
introduced(definition,[new_symbols(definition,[spl60_11])],[avatar_definition]) ).
fof(f576,plain,
( ssList(sK58)
| ~ spl60_11 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f577,plain,
( spl60_11
| spl60_2 ),
inference(avatar_split_clause,[],[f427,f522,f574]) ).
fof(f578,plain,
( spl60_9
| spl60_3 ),
inference(avatar_split_clause,[],[f428,f527,f564]) ).
fof(f579,plain,
( spl60_10
| spl60_3 ),
inference(avatar_split_clause,[],[f429,f527,f569]) ).
fof(f580,plain,
( spl60_11
| spl60_3 ),
inference(avatar_split_clause,[],[f430,f527,f574]) ).
fof(f581,plain,
( spl60_9
| spl60_4 ),
inference(avatar_split_clause,[],[f474,f532,f564]) ).
fof(f582,plain,
( spl60_10
| spl60_4 ),
inference(avatar_split_clause,[],[f473,f532,f569]) ).
fof(f583,plain,
( spl60_11
| spl60_4 ),
inference(avatar_split_clause,[],[f472,f532,f574]) ).
fof(f584,plain,
( spl60_9
| spl60_5 ),
inference(avatar_split_clause,[],[f434,f537,f564]) ).
fof(f585,plain,
( spl60_10
| spl60_5 ),
inference(avatar_split_clause,[],[f435,f537,f569]) ).
fof(f586,plain,
( spl60_11
| spl60_5 ),
inference(avatar_split_clause,[],[f436,f537,f574]) ).
fof(f587,plain,
( spl60_9
| spl60_6 ),
inference(avatar_split_clause,[],[f437,f542,f564]) ).
fof(f588,plain,
( spl60_10
| spl60_6 ),
inference(avatar_split_clause,[],[f438,f542,f569]) ).
fof(f589,plain,
( spl60_11
| spl60_6 ),
inference(avatar_split_clause,[],[f439,f542,f574]) ).
fof(f596,definition,
( spl60_13
<=> ssItem(sK52) ),
introduced(definition,[new_symbols(definition,[spl60_13])],[avatar_definition]) ).
fof(f598,plain,
( ssItem(sK52)
| ~ spl60_13 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f599,plain,
( spl60_13
| spl60_6 ),
inference(avatar_split_clause,[],[f441,f542,f596]) ).
fof(f601,definition,
( spl60_14
<=> ssItem(sK55) ),
introduced(definition,[new_symbols(definition,[spl60_14])],[avatar_definition]) ).
fof(f603,plain,
( ssItem(sK55)
| ~ spl60_14 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f604,plain,
( spl60_14
| spl60_6 ),
inference(avatar_split_clause,[],[f442,f542,f601]) ).
fof(f612,plain,
( spl60_13
| spl60_5 ),
inference(avatar_split_clause,[],[f446,f537,f596]) ).
fof(f613,plain,
( spl60_13
| spl60_4 ),
inference(avatar_split_clause,[],[f470,f532,f596]) ).
fof(f614,plain,
( spl60_14
| spl60_5 ),
inference(avatar_split_clause,[],[f448,f537,f601]) ).
fof(f615,plain,
( spl60_14
| spl60_4 ),
inference(avatar_split_clause,[],[f469,f532,f601]) ).
fof(f620,plain,
( spl60_14
| spl60_3 ),
inference(avatar_split_clause,[],[f454,f527,f601]) ).
fof(f621,plain,
( spl60_14
| spl60_2 ),
inference(avatar_split_clause,[],[f455,f522,f601]) ).
fof(f622,plain,
( spl60_13
| spl60_2 ),
inference(avatar_split_clause,[],[f456,f522,f596]) ).
fof(f625,plain,
( spl60_13
| spl60_3 ),
inference(avatar_split_clause,[],[f459,f527,f596]) ).
fof(f627,definition,
( spl60_16
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl60_16])],[avatar_definition]) ).
fof(f628,plain,
( ssList(nil)
| ~ spl60_16 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f655,plain,
spl60_16,
inference(avatar_split_clause,[],[f305,f627]) ).
fof(f658,plain,
( sK50 != sK50
| ~ ssItem(sK51)
| ~ ssItem(sK54)
| ~ ssList(sK57)
| ~ spl60_4
| ~ spl60_6 ),
inference(superposition,[],[f543,f534]) ).
fof(f659,plain,
( ~ ssItem(sK51)
| ~ ssItem(sK54)
| ~ ssList(sK57)
| ~ spl60_4
| ~ spl60_6 ),
inference(trivial_inequality_removal,[],[f658]) ).
fof(f660,plain,
( ~ ssItem(sK54)
| ~ ssList(sK57)
| ~ spl60_3
| ~ spl60_4
| ~ spl60_6 ),
inference(forward_subsumption_resolution,[],[f659,f529]) ).
fof(f661,plain,
( ~ ssList(sK57)
| ~ spl60_2
| ~ spl60_3
| ~ spl60_4
| ~ spl60_6 ),
inference(forward_subsumption_resolution,[],[f660,f524]) ).
fof(f662,plain,
( $false
| ~ spl60_2
| ~ spl60_3
| ~ spl60_4
| ~ spl60_5
| ~ spl60_6 ),
inference(forward_subsumption_resolution,[],[f661,f539]) ).
fof(f663,plain,
( ~ spl60_2
| ~ spl60_3
| ~ spl60_4
| ~ spl60_5
| ~ spl60_6 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f680,definition,
( spl60_22
<=> ssList(cons(sK52,nil)) ),
introduced(definition,[new_symbols(definition,[spl60_22])],[avatar_definition]) ).
fof(f681,plain,
( ssList(cons(sK52,nil))
| ~ spl60_22 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f682,plain,
( ~ ssList(cons(sK52,nil))
| spl60_22 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f688,definition,
( spl60_24
<=> ssList(cons(sK55,nil)) ),
introduced(definition,[new_symbols(definition,[spl60_24])],[avatar_definition]) ).
fof(f689,plain,
( ssList(cons(sK55,nil))
| ~ spl60_24 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f690,plain,
( ~ ssList(cons(sK55,nil))
| spl60_24 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f755,plain,
( ~ ssItem(sK52)
| ~ ssList(nil)
| spl60_22 ),
inference(resolution,[],[f304,f682]) ).
fof(f756,plain,
( ~ ssItem(sK55)
| ~ ssList(nil)
| spl60_24 ),
inference(resolution,[],[f304,f690]) ).
fof(f761,plain,
( ~ ssList(nil)
| ~ spl60_14
| spl60_24 ),
inference(forward_subsumption_resolution,[],[f756,f603]) ).
fof(f762,plain,
( ~ ssList(nil)
| ~ spl60_13
| spl60_22 ),
inference(forward_subsumption_resolution,[],[f755,f598]) ).
fof(f765,plain,
( $false
| ~ spl60_14
| ~ spl60_16
| spl60_24 ),
inference(forward_subsumption_resolution,[],[f761,f628]) ).
fof(f766,plain,
( ~ spl60_14
| ~ spl60_16
| spl60_24 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f767,plain,
( $false
| ~ spl60_13
| ~ spl60_16
| spl60_22 ),
inference(forward_subsumption_resolution,[],[f762,f628]) ).
fof(f768,plain,
( ~ spl60_13
| ~ spl60_16
| spl60_22 ),
inference(avatar_contradiction_clause,[],[f767]) ).
fof(f769,plain,
( cons(sK52,nil) = app(cons(sK52,nil),nil)
| ~ spl60_22 ),
inference(resolution,[],[f681,f396]) ).
fof(f770,plain,
( cons(sK52,nil) = app(nil,cons(sK52,nil))
| ~ spl60_22 ),
inference(resolution,[],[f681,f319]) ).
fof(f771,plain,
( cons(sK55,nil) = app(cons(sK55,nil),nil)
| ~ spl60_24 ),
inference(resolution,[],[f689,f396]) ).
fof(f772,plain,
( cons(sK55,nil) = app(nil,cons(sK55,nil))
| ~ spl60_24 ),
inference(resolution,[],[f689,f319]) ).
fof(f784,plain,
( ! [X2,X0,X1] :
( sK49 != app(app(app(cons(sK55,nil),X0),cons(X1,nil)),X2)
| ~ ssItem(X1)
| ~ ssItem(sK55)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X2)
| sK50 != app(app(app(app(nil,cons(X1,nil)),X0),cons(sK55,nil)),X2) )
| ~ spl60_1
| ~ spl60_24 ),
inference(superposition,[],[f520,f772]) ).
fof(f785,plain,
( ! [X2,X0,X1] :
( sK49 != app(app(app(cons(sK55,nil),X0),cons(X1,nil)),X2)
| ~ ssItem(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X2)
| sK50 != app(app(app(app(nil,cons(X1,nil)),X0),cons(sK55,nil)),X2) )
| ~ spl60_1
| ~ spl60_14
| ~ spl60_24 ),
inference(forward_subsumption_resolution,[],[f784,f603]) ).
fof(f786,plain,
( ! [X2,X0,X1] :
( sK50 != app(app(app(app(nil,cons(X1,nil)),X0),cons(sK55,nil)),X2)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| sK49 != app(app(app(cons(sK55,nil),X0),cons(X1,nil)),X2) )
| ~ spl60_1
| ~ spl60_14
| ~ spl60_16
| ~ spl60_24 ),
inference(forward_subsumption_resolution,[],[f785,f628]) ).
fof(f799,plain,
( ! [X0,X1] :
( sK50 != app(app(app(cons(sK52,nil),X0),cons(sK55,nil)),X1)
| ~ ssItem(sK52)
| ~ ssList(X0)
| ~ ssList(X1)
| sK49 != app(app(app(cons(sK55,nil),X0),cons(sK52,nil)),X1) )
| ~ spl60_1
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(superposition,[],[f786,f770]) ).
fof(f804,plain,
( ! [X0,X1] :
( sK50 != app(app(app(cons(sK52,nil),X0),cons(sK55,nil)),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| sK49 != app(app(app(cons(sK55,nil),X0),cons(sK52,nil)),X1) )
| ~ spl60_1
| ~ spl60_13
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(forward_subsumption_resolution,[],[f799,f598]) ).
fof(f825,plain,
( ! [X0] :
( sK50 != app(app(cons(sK52,nil),cons(sK55,nil)),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| sK49 != app(app(app(cons(sK55,nil),nil),cons(sK52,nil)),X0) )
| ~ spl60_1
| ~ spl60_13
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(superposition,[],[f804,f769]) ).
fof(f826,plain,
( ! [X0] :
( sK50 != app(app(cons(sK52,nil),cons(sK55,nil)),X0)
| ~ ssList(X0)
| sK49 != app(app(app(cons(sK55,nil),nil),cons(sK52,nil)),X0) )
| ~ spl60_1
| ~ spl60_13
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(forward_subsumption_resolution,[],[f825,f628]) ).
fof(f827,plain,
( ! [X0] :
( sK50 != app(app(cons(sK52,nil),cons(sK55,nil)),X0)
| sK49 != app(app(cons(sK55,nil),cons(sK52,nil)),X0)
| ~ ssList(X0) )
| ~ spl60_1
| ~ spl60_13
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(forward_demodulation,[],[f826,f771]) ).
fof(f833,plain,
( sK50 != sK50
| sK49 != app(app(cons(sK55,nil),cons(sK52,nil)),sK58)
| ~ ssList(sK58)
| ~ spl60_1
| ~ spl60_10
| ~ spl60_13
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(superposition,[],[f827,f571]) ).
fof(f834,plain,
( sK49 != app(app(cons(sK55,nil),cons(sK52,nil)),sK58)
| ~ ssList(sK58)
| ~ spl60_1
| ~ spl60_10
| ~ spl60_13
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(trivial_inequality_removal,[],[f833]) ).
fof(f835,plain,
( ~ ssList(sK58)
| ~ spl60_1
| ~ spl60_9
| ~ spl60_10
| ~ spl60_13
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(forward_subsumption_resolution,[],[f834,f566]) ).
fof(f836,plain,
( $false
| ~ spl60_1
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_13
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(forward_subsumption_resolution,[],[f835,f576]) ).
fof(f837,plain,
( ~ spl60_1
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_13
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(avatar_contradiction_clause,[],[f836]) ).
cnf(s1,plain,
( spl60_1
| spl60_2 ),
inference(sat_conversion,[],[f525]) ).
cnf(s2,plain,
( spl60_1
| spl60_3 ),
inference(sat_conversion,[],[f530]) ).
cnf(s3,plain,
( spl60_1
| spl60_4 ),
inference(sat_conversion,[],[f535]) ).
cnf(s4,plain,
( spl60_1
| spl60_5 ),
inference(sat_conversion,[],[f540]) ).
cnf(s5,plain,
( spl60_1
| spl60_6 ),
inference(sat_conversion,[],[f544]) ).
cnf(s16,plain,
( spl60_2
| spl60_9 ),
inference(sat_conversion,[],[f567]) ).
cnf(s17,plain,
( spl60_2
| spl60_10 ),
inference(sat_conversion,[],[f572]) ).
cnf(s18,plain,
( spl60_2
| spl60_11 ),
inference(sat_conversion,[],[f577]) ).
cnf(s19,plain,
( spl60_3
| spl60_9 ),
inference(sat_conversion,[],[f578]) ).
cnf(s20,plain,
( spl60_3
| spl60_10 ),
inference(sat_conversion,[],[f579]) ).
cnf(s21,plain,
( spl60_3
| spl60_11 ),
inference(sat_conversion,[],[f580]) ).
cnf(s22,plain,
( spl60_4
| spl60_9 ),
inference(sat_conversion,[],[f581]) ).
cnf(s23,plain,
( spl60_4
| spl60_10 ),
inference(sat_conversion,[],[f582]) ).
cnf(s24,plain,
( spl60_4
| spl60_11 ),
inference(sat_conversion,[],[f583]) ).
cnf(s25,plain,
( spl60_5
| spl60_9 ),
inference(sat_conversion,[],[f584]) ).
cnf(s26,plain,
( spl60_5
| spl60_10 ),
inference(sat_conversion,[],[f585]) ).
cnf(s27,plain,
( spl60_5
| spl60_11 ),
inference(sat_conversion,[],[f586]) ).
cnf(s28,plain,
( spl60_6
| spl60_9 ),
inference(sat_conversion,[],[f587]) ).
cnf(s29,plain,
( spl60_6
| spl60_10 ),
inference(sat_conversion,[],[f588]) ).
cnf(s30,plain,
( spl60_6
| spl60_11 ),
inference(sat_conversion,[],[f589]) ).
cnf(s32,plain,
( spl60_6
| spl60_13 ),
inference(sat_conversion,[],[f599]) ).
cnf(s33,plain,
( spl60_6
| spl60_14 ),
inference(sat_conversion,[],[f604]) ).
cnf(s37,plain,
( spl60_5
| spl60_13 ),
inference(sat_conversion,[],[f612]) ).
cnf(s38,plain,
( spl60_4
| spl60_13 ),
inference(sat_conversion,[],[f613]) ).
cnf(s39,plain,
( spl60_5
| spl60_14 ),
inference(sat_conversion,[],[f614]) ).
cnf(s40,plain,
( spl60_4
| spl60_14 ),
inference(sat_conversion,[],[f615]) ).
cnf(s45,plain,
( spl60_3
| spl60_14 ),
inference(sat_conversion,[],[f620]) ).
cnf(s46,plain,
( spl60_2
| spl60_14 ),
inference(sat_conversion,[],[f621]) ).
cnf(s47,plain,
( spl60_2
| spl60_13 ),
inference(sat_conversion,[],[f622]) ).
cnf(s50,plain,
( spl60_3
| spl60_13 ),
inference(sat_conversion,[],[f625]) ).
cnf(s58,plain,
spl60_16,
inference(sat_conversion,[],[f655]) ).
cnf(s59,plain,
( ~ spl60_2
| ~ spl60_3
| ~ spl60_4
| ~ spl60_5
| ~ spl60_6 ),
inference(sat_conversion,[],[f663]) ).
cnf(s65,plain,
( ~ spl60_14
| ~ spl60_16
| spl60_24 ),
inference(sat_conversion,[],[f766]) ).
cnf(s66,plain,
( ~ spl60_13
| ~ spl60_16
| spl60_22 ),
inference(sat_conversion,[],[f768]) ).
cnf(s67,plain,
( ~ spl60_1
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_13
| ~ spl60_14
| ~ spl60_16
| ~ spl60_22
| ~ spl60_24 ),
inference(sat_conversion,[],[f837]) ).
cnf(s71,plain,
spl60_1,
inference(rat,[],[s59,s1,s2,s3,s4,s5]) ).
cnf(s72,plain,
spl60_2,
inference(rat,[],[s67,s65,s66,s16,s17,s18,s46,s47,s71,s58]) ).
cnf(s73,plain,
spl60_6,
inference(rat,[],[s67,s66,s65,s28,s29,s30,s32,s33,s71,s58]) ).
cnf(s74,plain,
spl60_5,
inference(rat,[],[s67,s66,s65,s25,s26,s27,s37,s39,s71,s58]) ).
cnf(s75,plain,
spl60_4,
inference(rat,[],[s67,s66,s65,s22,s23,s24,s38,s40,s71,s58]) ).
cnf(s76,plain,
~ spl60_3,
inference(rat,[],[s59,s73,s74,s72,s75]) ).
cnf(s77,plain,
spl60_13,
inference(rat,[],[s50,s76]) ).
cnf(s79,plain,
spl60_14,
inference(rat,[],[s45,s76]) ).
cnf(s81,plain,
spl60_11,
inference(rat,[],[s21,s76]) ).
cnf(s82,plain,
spl60_10,
inference(rat,[],[s20,s76]) ).
cnf(s83,plain,
spl60_9,
inference(rat,[],[s19,s76]) ).
cnf(s86,plain,
spl60_22,
inference(rat,[],[s66,s58,s77]) ).
cnf(s88,plain,
spl60_24,
inference(rat,[],[s65,s58,s79]) ).
cnf(s90,plain,
$false,
inference(rat,[],[s67,s88,s86,s58,s79,s77,s81,s71,s82,s83]) ).
fof(f838,plain,
$false,
inference(avatar_sat_refutation,[],[s90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC414+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n003.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 09:35:04 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 Running first-order model finding
% 0.11/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.82/2.32 % (1462052)Will run a generic schedule for satisfiability detection.
% 14.82/2.32 % (1462057)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4016586502_2999 on theBenchmark for (2999ds/0Mi)
% 14.82/2.32 % (1462059)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=818960489:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.82/2.32 % (1462060)dis+10_1_sil=32000:sp=arity:random_seed=1331516098:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.82/2.32 % (1462061)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=224598798:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.82/2.32 % (1462062)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4134748402:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.82/2.32 % (1462063)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3698269150:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.82/2.32 % (1462058)% WARNING: option uhcvi not known.
% 14.82/2.32 % TRYING [1]
% 14.82/2.32 % TRYING [2]
% 14.82/2.32 % (1462058)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2062388749:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.82/2.32 % TRYING [3]
% 14.82/2.32 % TRYING [4]
% 14.82/2.32 % TRYING [5]
% 14.82/2.32 % (1462060)Instruction limit reached!
% 14.82/2.32 % (1462060)------------------------------
% 14.82/2.32 % (1462060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.32 % (1462060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.32 % (1462060)CaDiCaL version: 2.1.3
% 14.82/2.32 % (1462060)Termination reason: Instruction limit
% 14.82/2.32 % (1462060)Termination phase: Saturation
% 14.82/2.32 % (1462060)Time elapsed: 0.061 s
% 14.82/2.32 % (1462060)Peak memory usage: 13 MB
% 14.82/2.32 % (1462060)Instructions burned: 105 (million)
% 14.82/2.32 % (1462061)Instruction limit reached!
% 14.82/2.32 % (1462061)------------------------------
% 14.82/2.32 % (1462061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.32 % (1462061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.32 % (1462061)CaDiCaL version: 2.1.3
% 14.82/2.32 % (1462061)Termination reason: Instruction limit
% 14.82/2.32 % (1462061)Termination phase: Saturation
% 14.82/2.32 % (1462061)Time elapsed: 0.064 s
% 14.82/2.32 % (1462061)Peak memory usage: 13 MB
% 14.82/2.32 % (1462061)Instructions burned: 117 (million)
% 14.82/2.32 % (1462062)Instruction limit reached!
% 14.82/2.32 % (1462062)------------------------------
% 14.82/2.32 % (1462062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.32 % (1462062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.32 % (1462062)CaDiCaL version: 2.1.3
% 14.82/2.32 % (1462062)Termination reason: Instruction limit
% 14.82/2.32 % (1462062)Termination phase: Saturation
% 14.82/2.32 % (1462062)Time elapsed: 0.078 s
% 14.82/2.32 % (1462062)Peak memory usage: 14 MB
% 14.82/2.32 % (1462062)Instructions burned: 132 (million)
% 14.82/2.32 % (1462071)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1150542999:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.82/2.32 % (1462072)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3885634760:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.82/2.32 % (1462063)Instruction limit reached!
% 14.82/2.32 % (1462063)------------------------------
% 14.82/2.32 % (1462063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.32 % (1462063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.32 % (1462063)CaDiCaL version: 2.1.3
% 14.82/2.32 % (1462063)Termination reason: Instruction limit
% 14.82/2.32 % (1462063)Termination phase: Saturation
% 14.82/2.32 % (1462063)Time elapsed: 0.096 s
% 14.82/2.32 % (1462063)Peak memory usage: 14 MB
% 14.82/2.32 % (1462063)Instructions burned: 160 (million)
% 14.82/2.32 % (1462073)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1452596898:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.82/2.32 % TRYING [1]
% 14.82/2.32 % TRYING [2]
% 14.82/2.32 % TRYING [3]
% 14.82/2.32 % (1462076)ott-21_1_sil=16000:fs=off:random_seed=979821021:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.82/2.32 % TRYING [4]
% 14.82/2.32 % (1462072)Instruction limit reached!
% 14.82/2.32 % (1462072)------------------------------
% 14.82/2.32 % (1462072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462072)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462072)Termination reason: Instruction limit
% 19.12/4.62 % (1462072)Termination phase: Saturation
% 19.12/4.62 % (1462072)Time elapsed: 0.069 s
% 19.12/4.62 % (1462072)Peak memory usage: 13 MB
% 19.12/4.62 % (1462072)Instructions burned: 132 (million)
% 19.12/4.62 % TRYING [6]
% 19.12/4.62 % (1462079)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2806278970:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 19.12/4.62 % (1462076)Instruction limit reached!
% 19.12/4.62 % (1462076)------------------------------
% 19.12/4.62 % (1462076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462076)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462076)Termination reason: Instruction limit
% 19.12/4.62 % (1462076)Termination phase: Saturation
% 19.12/4.62 % (1462076)Time elapsed: 0.089 s
% 19.12/4.62 % (1462076)Peak memory usage: 13 MB
% 19.12/4.62 % (1462076)Instructions burned: 180 (million)
% 19.12/4.62 % TRYING [5]
% 19.12/4.62 % (1462081)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=150232867:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 19.12/4.62 % TRYING [1]
% 19.12/4.62 % TRYING [2]
% 19.12/4.62 % TRYING [3]
% 19.12/4.62 % TRYING [4]
% 19.12/4.62 % (1462071)Instruction limit reached!
% 19.12/4.62 % (1462071)------------------------------
% 19.12/4.62 % (1462071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462071)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462071)Termination reason: Instruction limit
% 19.12/4.62 % (1462071)Termination phase: Finite model building constraint generation
% 19.12/4.62 % (1462071)Time elapsed: 0.277 s
% 19.12/4.62 % (1462071)Peak memory usage: 37 MB
% 19.12/4.62 % (1462071)Instructions burned: 714 (million)
% 19.12/4.62 % (1462083)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3973630150:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 19.12/4.62 % TRYING [7]
% 19.12/4.62 % (1462073)Instruction limit reached!
% 19.12/4.62 % (1462073)------------------------------
% 19.12/4.62 % (1462073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462073)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462073)Termination reason: Instruction limit
% 19.12/4.62 % (1462073)Termination phase: Saturation
% 19.12/4.62 % (1462073)Time elapsed: 0.366 s
% 19.12/4.62 % (1462073)Peak memory usage: 23 MB
% 19.12/4.62 % (1462073)Instructions burned: 685 (million)
% 19.12/4.62 % (1462085)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3736876281:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 19.12/4.62 % TRYING [5]
% 19.12/4.62 % (1462079)Instruction limit reached!
% 19.12/4.62 % (1462079)------------------------------
% 19.12/4.62 % (1462079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462079)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462079)Termination reason: Instruction limit
% 19.12/4.62 % (1462079)Termination phase: Saturation
% 19.12/4.62 % (1462079)Time elapsed: 0.329 s
% 19.12/4.62 % (1462079)Peak memory usage: 15 MB
% 19.12/4.62 % (1462079)Instructions burned: 477 (million)
% 19.12/4.62 % (1462087)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3232829961:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 19.12/4.62 % (1462081)Instruction limit reached!
% 19.12/4.62 % (1462081)------------------------------
% 19.12/4.62 % (1462081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462081)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462081)Termination reason: Instruction limit
% 19.12/4.62 % (1462081)Termination phase: Finite model building constraint generation
% 19.12/4.62 % (1462081)Time elapsed: 0.341 s
% 19.12/4.62 % (1462081)Peak memory usage: 24 MB
% 19.12/4.62 % (1462081)Instructions burned: 866 (million)
% 19.12/4.62 % (1462089)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=237590412:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 19.12/4.62 % TRYING [14]
% 19.12/4.62 % (1462085)Instruction limit reached!
% 19.12/4.62 % (1462085)------------------------------
% 19.12/4.62 % (1462085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462085)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462085)Termination reason: Instruction limit
% 19.12/4.62 % (1462085)Termination phase: Finite model building constraint generation
% 19.12/4.62 % (1462085)Time elapsed: 0.347 s
% 19.12/4.62 % (1462085)Peak memory usage: 77 MB
% 19.12/4.62 % (1462085)Instructions burned: 890 (million)
% 19.12/4.62 % (1462091)fmb+10_1_sil=64000:random_seed=625677038:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 19.12/4.62 % TRYING [1]
% 19.12/4.62 % TRYING [2]
% 19.12/4.62 % TRYING [3]
% 19.12/4.62 % (1462087)Instruction limit reached!
% 19.12/4.62 % (1462087)------------------------------
% 19.12/4.62 % (1462087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462087)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462087)Termination reason: Instruction limit
% 19.12/4.62 % (1462087)Termination phase: Saturation
% 19.12/4.62 % (1462087)Time elapsed: 0.392 s
% 19.12/4.62 % (1462087)Peak memory usage: 23 MB
% 19.12/4.62 % (1462087)Instructions burned: 692 (million)
% 19.12/4.62 % (1462093)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4226338726:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 19.12/4.62 % TRYING [20]
% 19.12/4.62 % TRYING [4]
% 19.12/4.62 % (1462083)Instruction limit reached!
% 19.12/4.62 % (1462083)------------------------------
% 19.12/4.62 % (1462083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462083)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462083)Termination reason: Instruction limit
% 19.12/4.62 % (1462083)Termination phase: Saturation
% 19.12/4.62 % (1462083)Time elapsed: 0.655 s
% 19.12/4.62 % (1462083)Peak memory usage: 28 MB
% 19.12/4.62 % (1462083)Instructions burned: 1179 (million)
% 19.12/4.62 % TRYING [8]
% 19.12/4.62 % (1462095)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=710791881:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 19.12/4.62 % (1462089)Instruction limit reached!
% 19.12/4.62 % (1462089)------------------------------
% 19.12/4.62 % (1462089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462089)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462089)Termination reason: Instruction limit
% 19.12/4.62 % (1462089)Termination phase: Saturation
% 19.12/4.62 % (1462089)Time elapsed: 0.479 s
% 19.12/4.62 % (1462089)Peak memory usage: 21 MB
% 19.12/4.62 % (1462089)Instructions burned: 881 (million)
% 19.12/4.62 % TRYING [8]
% 19.12/4.62 % (1462097)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=344311631:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 19.12/4.62 % TRYING [5]
% 19.12/4.62 % (1462095)Instruction limit reached!
% 19.12/4.62 % (1462095)------------------------------
% 19.12/4.62 % (1462095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462095)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462095)Termination reason: Instruction limit
% 19.12/4.62 % (1462095)Termination phase: Finite model building constraint generation
% 19.12/4.62 % (1462095)Time elapsed: 0.311 s
% 19.12/4.62 % (1462095)Peak memory usage: 66 MB
% 19.12/4.62 % (1462095)Instructions burned: 922 (million)
% 19.12/4.62 % (1462099)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=175266970:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 19.12/4.62 % TRYING [6]
% 19.12/4.62 % (1462099)Instruction limit reached!
% 19.12/4.62 % (1462099)------------------------------
% 19.12/4.62 % (1462099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462099)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462099)Termination reason: Instruction limit
% 19.12/4.62 % (1462099)Termination phase: Saturation
% 19.12/4.62 % (1462099)Time elapsed: 0.651 s
% 19.12/4.62 % (1462099)Peak memory usage: 16 MB
% 19.12/4.62 % (1462099)Instructions burned: 1474 (million)
% 19.12/4.62 % (1462101)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=407306237:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 19.12/4.62 % TRYING [77]
% 19.12/4.62 % TRYING [9]
% 19.12/4.62 % TRYING [7]
% 19.12/4.62 % (1462097)Instruction limit reached!
% 19.12/4.62 % (1462097)------------------------------
% 19.12/4.62 % (1462097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462097)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462097)Termination reason: Instruction limit
% 19.12/4.62 % (1462097)Termination phase: Saturation
% 19.12/4.62 % (1462097)Time elapsed: 2.741 s
% 19.12/4.62 % (1462097)Peak memory usage: 49 MB
% 19.12/4.62 % (1462097)Instructions burned: 5131 (million)
% 19.12/4.62 % (1462103)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3090333048:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 19.12/4.62 % TRYING [16]
% 19.12/4.62 % (1462101)Instruction limit reached!
% 19.12/4.62 % (1462101)------------------------------
% 19.12/4.62 % (1462101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.62 % (1462101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.62 % (1462101)CaDiCaL version: 2.1.3
% 19.12/4.62 % (1462101)Termination reason: Instruction limit
% 19.12/4.62 % (1462101)Termination phase: Finite model building constraint generation
% 19.12/4.62 % (1462101)Time elapsed: 2.129 s
% 19.12/4.62 % (1462101)Peak memory usage: 341 MB
% 19.12/4.62 % (1462101)Instructions burned: 6327 (million)
% 19.12/4.62 % (1462105)ott-2_1_sil=16000:newcnf=on:random_seed=4151473116:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 19.12/4.62 % (1462105) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1462052-1462105"...
% 19.12/4.62 % (1462105)...printing done.
% 19.12/4.62 % (1462105)Refutation found. Thanks to Tanya!
% 19.12/4.62 % SZS status Theorem for theBenchmark
% 19.12/4.62 % SZS output start Proof for theBenchmark
% See solution above
% 19.12/4.63 % (1462105)------------------------------
% 19.12/4.63 % (1462105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/4.63 % (1462105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/4.63 % (1462105)CaDiCaL version: 2.1.3
% 19.12/4.63 % (1462105)Termination reason: Refutation
% 19.12/4.63 % (1462105)Time elapsed: 0.021 s
% 19.12/4.63 % (1462105)Peak memory usage: 13 MB
% 19.12/4.63 % (1462105)Instructions burned: 35 (million)
% 19.12/4.63 % (1462052)Success in time 4.412 s
% 19.12/4.63 % Vampire exiting
%------------------------------------------------------------------------------