TSTP Solution File: ALG076+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG076+1 : TPTP v8.1.2. Released v2.7.0.
% 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:10:56 EDT 2024
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 55
% Syntax : Number of formulae : 412 ( 50 unt; 0 def)
% Number of atoms : 1454 ( 831 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1513 ( 471 ~; 650 |; 340 &)
% ( 50 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 52 ( 50 usr; 51 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2309,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f266,f287,f308,f329,f371,f434,f436,f442,f447,f483,f543,f578,f588,f613,f620,f621,f640,f674,f693,f704,f712,f736,f743,f744,f753,f778,f795,f848,f857,f876,f882,f890,f891,f894,f915,f940,f1016,f1017,f1090,f1192,f1193,f1197,f1266,f1327,f1333,f1392,f1393,f1415,f1427,f1434,f1477,f1528,f1617,f1694,f1725,f1770,f1779,f1822,f1859,f1906,f1935,f1963,f2029,f2037,f2093,f2121,f2145,f2186,f2254,f2286,f2308]) ).
fof(f2308,plain,
( ~ spl0_29
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2307]) ).
fof(f2307,plain,
( $false
| ~ spl0_29
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f2306,f122]) ).
fof(f122,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/tmp/tmp.dzBxAMuaPm/Vampire---4.8_16729',ax1) ).
fof(f2306,plain,
( e12 = e13
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2305,f141]) ).
fof(f141,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e10 = op1(e14,e14)
& e12 = op1(e14,e13)
& e11 = op1(e14,e12)
& e13 = op1(e14,e11)
& e14 = op1(e14,e10)
& e11 = op1(e13,e14)
& e14 = op1(e13,e13)
& e10 = op1(e13,e12)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e13 = op1(e12,e14)
& e11 = op1(e12,e13)
& e14 = op1(e12,e12)
& e10 = op1(e12,e11)
& e12 = op1(e12,e10)
& e12 = op1(e11,e14)
& e10 = op1(e11,e13)
& e13 = op1(e11,e12)
& e14 = op1(e11,e11)
& e11 = op1(e11,e10)
& e14 = op1(e10,e14)
& e13 = op1(e10,e13)
& e12 = op1(e10,e12)
& e11 = op1(e10,e11)
& e10 = op1(e10,e10) ),
file('/export/starexec/sandbox/tmp/tmp.dzBxAMuaPm/Vampire---4.8_16729',ax4) ).
fof(f2305,plain,
( e13 = op1(e13,e11)
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2301,f421]) ).
fof(f421,plain,
( e13 = j(e24)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f419,plain,
( spl0_47
<=> e13 = j(e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f2301,plain,
( j(e24) = op1(j(e24),e11)
| ~ spl0_29 ),
inference(superposition,[],[f179,f345]) ).
fof(f345,plain,
( e11 = j(e20)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl0_29
<=> e11 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f179,plain,
j(e24) = op1(j(e24),j(e20)),
inference(forward_demodulation,[],[f65,f170]) ).
fof(f170,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e22 = op2(e24,e24)
& e21 = op2(e24,e23)
& e20 = op2(e24,e22)
& e23 = op2(e24,e21)
& e24 = op2(e24,e20)
& e20 = op2(e23,e24)
& e24 = op2(e23,e23)
& e21 = op2(e23,e22)
& e22 = op2(e23,e21)
& e23 = op2(e23,e20)
& e21 = op2(e22,e24)
& e20 = op2(e22,e23)
& e23 = op2(e22,e22)
& e24 = op2(e22,e21)
& e22 = op2(e22,e20)
& e23 = op2(e21,e24)
& e22 = op2(e21,e23)
& e24 = op2(e21,e22)
& e20 = op2(e21,e21)
& e21 = op2(e21,e20)
& e24 = op2(e20,e24)
& e23 = op2(e20,e23)
& e22 = op2(e20,e22)
& e21 = op2(e20,e21)
& e20 = op2(e20,e20) ),
file('/export/starexec/sandbox/tmp/tmp.dzBxAMuaPm/Vampire---4.8_16729',ax5) ).
fof(f65,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox/tmp/tmp.dzBxAMuaPm/Vampire---4.8_16729',co1) ).
fof(f2286,plain,
( spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f2285,f419,f373,f343]) ).
fof(f373,plain,
( spl0_36
<=> e14 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f2285,plain,
( e11 = j(e20)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2284,f144]) ).
fof(f144,plain,
e11 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f2284,plain,
( op1(e13,e14) = j(e20)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2239,f421]) ).
fof(f2239,plain,
( j(e20) = op1(j(e24),e14)
| ~ spl0_36 ),
inference(superposition,[],[f177,f375]) ).
fof(f375,plain,
( e14 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f177,plain,
j(e20) = op1(j(e24),j(e22)),
inference(forward_demodulation,[],[f67,f172]) ).
fof(f172,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f67,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f2254,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2253]) ).
fof(f2253,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f2252,f117]) ).
fof(f117,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f2252,plain,
( e10 = e13
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2251,f136]) ).
fof(f136,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f2251,plain,
( e13 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2250,f358]) ).
fof(f358,plain,
( e13 = j(e21)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl0_32
<=> e13 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f2250,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2247,f425]) ).
fof(f425,plain,
( e12 = j(e24)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl0_48
<=> e12 = j(e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f2247,plain,
( j(e21) = op1(j(e24),e11)
| ~ spl0_44 ),
inference(superposition,[],[f176,f408]) ).
fof(f408,plain,
( e11 = j(e23)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f406,plain,
( spl0_44
<=> e11 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f176,plain,
j(e21) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f68,f173]) ).
fof(f173,plain,
e21 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f68,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f2186,plain,
( spl0_44
| ~ spl0_32
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2180,f423,f356,f406]) ).
fof(f2180,plain,
( e11 = j(e23)
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2175,f138]) ).
fof(f138,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f2175,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2171,f425]) ).
fof(f2171,plain,
( j(e23) = op1(j(e24),e13)
| ~ spl0_32 ),
inference(superposition,[],[f178,f358]) ).
fof(f178,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f66,f171]) ).
fof(f171,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f66,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f2145,plain,
( ~ spl0_34
| spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2144]) ).
fof(f2144,plain,
( $false
| ~ spl0_34
| spl0_45
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f2143,f411]) ).
fof(f411,plain,
( e10 != j(e23)
| spl0_45 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f410,plain,
( spl0_45
<=> e10 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f2143,plain,
( e10 = j(e23)
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2138,f136]) ).
fof(f2138,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2134,f425]) ).
fof(f2134,plain,
( j(e23) = op1(j(e24),e11)
| ~ spl0_34 ),
inference(superposition,[],[f178,f366]) ).
fof(f366,plain,
( e11 = j(e21)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl0_34
<=> e11 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f2121,plain,
( spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2120,f423,f398,f364]) ).
fof(f398,plain,
( spl0_42
<=> e13 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f2120,plain,
( e11 = j(e21)
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2115,f138]) ).
fof(f2115,plain,
( op1(e12,e13) = j(e21)
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2113,f425]) ).
fof(f2113,plain,
( j(e21) = op1(j(e24),e13)
| ~ spl0_42 ),
inference(superposition,[],[f176,f400]) ).
fof(f400,plain,
( e13 = j(e23)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f2093,plain,
( spl0_42
| ~ spl0_31
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2092,f423,f352,f398]) ).
fof(f352,plain,
( spl0_31
<=> e14 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f2092,plain,
( e13 = j(e23)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2073,f139]) ).
fof(f139,plain,
e13 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f2073,plain,
( op1(e12,e14) = j(e23)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2070,f425]) ).
fof(f2070,plain,
( j(e23) = op1(j(e24),e14)
| ~ spl0_31 ),
inference(superposition,[],[f178,f354]) ).
fof(f354,plain,
( e14 = j(e21)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f2037,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2036]) ).
fof(f2036,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f2035,f119]) ).
fof(f119,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f2035,plain,
( e11 = e12
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2023,f408]) ).
fof(f2023,plain,
( e12 = j(e23)
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2018,f135]) ).
fof(f135,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f2018,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2015,f425]) ).
fof(f2015,plain,
( j(e23) = op1(j(e24),e10)
| ~ spl0_35 ),
inference(superposition,[],[f178,f370]) ).
fof(f370,plain,
( e10 = j(e21)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl0_35
<=> e10 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2029,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2028,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f2027,f120]) ).
fof(f120,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f2027,plain,
( e11 = e13
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_demodulation,[],[f379,f387]) ).
fof(f387,plain,
( e11 = j(e22)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f385,plain,
( spl0_39
<=> e11 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f379,plain,
( e13 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl0_37
<=> e13 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1963,plain,
( spl0_33
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1962]) ).
fof(f1962,plain,
( $false
| spl0_33
| ~ spl0_45
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f1961,f361]) ).
fof(f361,plain,
( e12 != j(e21)
| spl0_33 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl0_33
<=> e12 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1961,plain,
( e12 = j(e21)
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1960,f135]) ).
fof(f1960,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1928,f425]) ).
fof(f1928,plain,
( j(e21) = op1(j(e24),e10)
| ~ spl0_45 ),
inference(superposition,[],[f176,f412]) ).
fof(f412,plain,
( e10 = j(e23)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f1935,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1934]) ).
fof(f1934,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1933,f120]) ).
fof(f1933,plain,
( e11 = e13
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1932,f130]) ).
fof(f130,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f1932,plain,
( e13 = op1(e11,e10)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1931,f358]) ).
fof(f1931,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1928,f429]) ).
fof(f429,plain,
( e11 = j(e24)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl0_49
<=> e11 = j(e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1906,plain,
( spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1905]) ).
fof(f1905,plain,
( $false
| spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1904,f369]) ).
fof(f369,plain,
( e10 != j(e21)
| spl0_35 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f1904,plain,
( e10 = j(e21)
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1898,f133]) ).
fof(f133,plain,
e10 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f1898,plain,
( op1(e11,e13) = j(e21)
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1897,f429]) ).
fof(f1897,plain,
( j(e21) = op1(j(e24),e13)
| ~ spl0_42 ),
inference(superposition,[],[f176,f400]) ).
fof(f1859,plain,
( spl0_27
| ~ spl0_38
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1858]) ).
fof(f1858,plain,
( $false
| spl0_27
| ~ spl0_38
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1857,f336]) ).
fof(f336,plain,
( e13 != j(e20)
| spl0_27 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl0_27
<=> e13 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1857,plain,
( e13 = j(e20)
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1852,f132]) ).
fof(f132,plain,
e13 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f1852,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1848,f429]) ).
fof(f1848,plain,
( j(e20) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f177,f383]) ).
fof(f383,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f381,plain,
( spl0_38
<=> e12 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1822,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1821]) ).
fof(f1821,plain,
( $false
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1820,f120]) ).
fof(f1820,plain,
( e11 = e13
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1819,f130]) ).
fof(f1819,plain,
( e13 = op1(e11,e10)
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1818,f400]) ).
fof(f1818,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1814,f429]) ).
fof(f1814,plain,
( j(e23) = op1(j(e24),e10)
| ~ spl0_35 ),
inference(superposition,[],[f178,f370]) ).
fof(f1779,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1778]) ).
fof(f1778,plain,
( $false
| ~ spl0_26
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f1777,f121]) ).
fof(f121,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f1777,plain,
( e11 = e14
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_demodulation,[],[f333,f345]) ).
fof(f333,plain,
( e14 = j(e20)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f331,plain,
( spl0_26
<=> e14 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1770,plain,
( spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1769]) ).
fof(f1769,plain,
( $false
| spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1768,f357]) ).
fof(f357,plain,
( e13 != j(e21)
| spl0_32 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f1768,plain,
( e13 = j(e21)
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1763,f132]) ).
fof(f1763,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1761,f429]) ).
fof(f1761,plain,
( j(e21) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f176,f404]) ).
fof(f404,plain,
( e12 = j(e23)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f402,plain,
( spl0_43
<=> e12 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1725,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1724]) ).
fof(f1724,plain,
( $false
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1723,f116]) ).
fof(f116,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f1723,plain,
( e10 = e12
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1722,f133]) ).
fof(f1722,plain,
( e12 = op1(e11,e13)
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1721,f404]) ).
fof(f1721,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1715,f429]) ).
fof(f1715,plain,
( j(e23) = op1(j(e24),e13)
| ~ spl0_32 ),
inference(superposition,[],[f178,f358]) ).
fof(f1694,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1693]) ).
fof(f1693,plain,
( $false
| ~ spl0_27
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1692,f115]) ).
fof(f115,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f1692,plain,
( e10 = e11
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1691,f133]) ).
fof(f1691,plain,
( e11 = op1(e11,e13)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1688,f429]) ).
fof(f1688,plain,
( j(e24) = op1(j(e24),e13)
| ~ spl0_27 ),
inference(superposition,[],[f179,f337]) ).
fof(f337,plain,
( e13 = j(e20)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f1617,plain,
( spl0_42
| ~ spl0_33
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1606,f427,f360,f398]) ).
fof(f1606,plain,
( e13 = j(e23)
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1601,f132]) ).
fof(f1601,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1598,f429]) ).
fof(f1598,plain,
( j(e23) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f178,f362]) ).
fof(f362,plain,
( e12 = j(e21)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f1528,plain,
( ~ spl0_28
| ~ spl0_37
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1527]) ).
fof(f1527,plain,
( $false
| ~ spl0_28
| ~ spl0_37
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1526,f116]) ).
fof(f1526,plain,
( e10 = e12
| ~ spl0_28
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1525,f133]) ).
fof(f1525,plain,
( e12 = op1(e11,e13)
| ~ spl0_28
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1524,f341]) ).
fof(f341,plain,
( e12 = j(e20)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl0_28
<=> e12 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1524,plain,
( op1(e11,e13) = j(e20)
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1520,f429]) ).
fof(f1520,plain,
( j(e20) = op1(j(e24),e13)
| ~ spl0_37 ),
inference(superposition,[],[f177,f379]) ).
fof(f1477,plain,
( ~ spl0_28
| ~ spl0_40
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1476,plain,
( $false
| ~ spl0_28
| ~ spl0_40
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1475,f119]) ).
fof(f1475,plain,
( e11 = e12
| ~ spl0_28
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1474,f130]) ).
fof(f1474,plain,
( e12 = op1(e11,e10)
| ~ spl0_28
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1473,f341]) ).
fof(f1473,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1469,f429]) ).
fof(f1469,plain,
( j(e20) = op1(j(e24),e10)
| ~ spl0_40 ),
inference(superposition,[],[f177,f391]) ).
fof(f391,plain,
( e10 = j(e22)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f389,plain,
( spl0_40
<=> e10 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1434,plain,
( ~ spl0_25
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f1433]) ).
fof(f1433,plain,
( $false
| ~ spl0_25
| spl0_26 ),
inference(subsumption_resolution,[],[f1432,f332]) ).
fof(f332,plain,
( e14 != j(e20)
| spl0_26 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f1432,plain,
( e14 = j(e20)
| ~ spl0_25 ),
inference(superposition,[],[f79,f328]) ).
fof(f328,plain,
( e20 = h(e14)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl0_25
<=> e20 = h(e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f79,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f1427,plain,
( ~ spl0_22
| spl0_41 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1426,plain,
( $false
| ~ spl0_22
| spl0_41 ),
inference(subsumption_resolution,[],[f1424,f395]) ).
fof(f395,plain,
( e14 != j(e23)
| spl0_41 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl0_41
<=> e14 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1424,plain,
( e14 = j(e23)
| ~ spl0_22 ),
inference(superposition,[],[f79,f316]) ).
fof(f316,plain,
( e23 = h(e14)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f314,plain,
( spl0_22
<=> e23 = h(e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1415,plain,
( ~ spl0_24
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f1414]) ).
fof(f1414,plain,
( $false
| ~ spl0_24
| spl0_31 ),
inference(subsumption_resolution,[],[f1412,f353]) ).
fof(f353,plain,
( e14 != j(e21)
| spl0_31 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f1412,plain,
( e14 = j(e21)
| ~ spl0_24 ),
inference(superposition,[],[f79,f324]) ).
fof(f324,plain,
( e21 = h(e14)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f322,plain,
( spl0_24
<=> e21 = h(e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1393,plain,
( spl0_36
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1214,f318,f373]) ).
fof(f318,plain,
( spl0_23
<=> e22 = h(e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1214,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f79,f320]) ).
fof(f320,plain,
( e22 = h(e14)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f1392,plain,
( ~ spl0_27
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1391,plain,
( $false
| ~ spl0_27
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f1390,f119]) ).
fof(f1390,plain,
( e11 = e12
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1389,f138]) ).
fof(f1389,plain,
( e12 = op1(e12,e13)
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1384,f425]) ).
fof(f1384,plain,
( j(e24) = op1(j(e24),e13)
| ~ spl0_27 ),
inference(superposition,[],[f179,f337]) ).
fof(f1333,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1332]) ).
fof(f1332,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1331,f119]) ).
fof(f1331,plain,
( e11 = e12
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_demodulation,[],[f425,f429]) ).
fof(f1327,plain,
( ~ spl0_36
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1326,plain,
( $false
| ~ spl0_36
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f1319,f124]) ).
fof(f124,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f1319,plain,
( e13 = e14
| ~ spl0_36
| ~ spl0_37 ),
inference(superposition,[],[f375,f379]) ).
fof(f1266,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1265]) ).
fof(f1265,plain,
( $false
| ~ spl0_28
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f1264,f116]) ).
fof(f1264,plain,
( e10 = e12
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_demodulation,[],[f341,f349]) ).
fof(f349,plain,
( e10 = j(e20)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f347,plain,
( spl0_30
<=> e10 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1197,plain,
( spl0_46
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1043,f310,f415]) ).
fof(f415,plain,
( spl0_46
<=> e14 = j(e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f310,plain,
( spl0_21
<=> e24 = h(e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1043,plain,
( e14 = j(e24)
| ~ spl0_21 ),
inference(superposition,[],[f79,f312]) ).
fof(f312,plain,
( e24 = h(e14)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f1193,plain,
( spl0_27
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1124,f305,f335]) ).
fof(f305,plain,
( spl0_20
<=> e20 = h(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1124,plain,
( e13 = j(e20)
| ~ spl0_20 ),
inference(superposition,[],[f78,f307]) ).
fof(f307,plain,
( e20 = h(e13)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f78,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f1192,plain,
( spl0_26
| ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1191,plain,
( $false
| spl0_26
| ~ spl0_40
| ~ spl0_46 ),
inference(subsumption_resolution,[],[f1190,f332]) ).
fof(f1190,plain,
( e14 = j(e20)
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1149,f145]) ).
fof(f145,plain,
e14 = op1(e14,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f1149,plain,
( op1(e14,e10) = j(e20)
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1147,f391]) ).
fof(f1147,plain,
( j(e20) = op1(e14,j(e22))
| ~ spl0_46 ),
inference(superposition,[],[f177,f417]) ).
fof(f417,plain,
( e14 = j(e24)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f1090,plain,
( spl0_40
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1085,f415,f389]) ).
fof(f1085,plain,
( e10 = j(e22)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1074,f149]) ).
fof(f149,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f1074,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_46 ),
inference(superposition,[],[f175,f417]) ).
fof(f175,plain,
j(e22) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f69,f174]) ).
fof(f174,plain,
e22 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f69,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f1017,plain,
( spl0_39
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f974,f255,f385]) ).
fof(f255,plain,
( spl0_8
<=> e22 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f974,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f76,f257]) ).
fof(f257,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f76,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f1016,plain,
( spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1015,plain,
( $false
| spl0_36
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f1014,f374]) ).
fof(f374,plain,
( e14 != j(e22)
| spl0_36 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f1014,plain,
( e14 = j(e22)
| ~ spl0_47 ),
inference(forward_demodulation,[],[f982,f143]) ).
fof(f143,plain,
e14 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f982,plain,
( op1(e13,e13) = j(e22)
| ~ spl0_47 ),
inference(superposition,[],[f175,f421]) ).
fof(f940,plain,
( ~ spl0_14
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f939]) ).
fof(f939,plain,
( $false
| ~ spl0_14
| spl0_33 ),
inference(subsumption_resolution,[],[f938,f361]) ).
fof(f938,plain,
( e12 = j(e21)
| ~ spl0_14 ),
inference(superposition,[],[f77,f282]) ).
fof(f282,plain,
( e21 = h(e12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl0_14
<=> e21 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f77,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f915,plain,
( ~ spl0_13
| spl0_38 ),
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f914,plain,
( $false
| ~ spl0_13
| spl0_38 ),
inference(subsumption_resolution,[],[f913,f382]) ).
fof(f382,plain,
( e12 != j(e22)
| spl0_38 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f913,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(superposition,[],[f77,f278]) ).
fof(f278,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl0_13
<=> e22 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f894,plain,
( spl0_32
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f893,f423,f394,f356]) ).
fof(f893,plain,
( e13 = j(e21)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f892,f139]) ).
fof(f892,plain,
( op1(e12,e14) = j(e21)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f650,f425]) ).
fof(f650,plain,
( j(e21) = op1(j(e24),e14)
| ~ spl0_41 ),
inference(superposition,[],[f176,f396]) ).
fof(f396,plain,
( e14 = j(e23)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f891,plain,
( spl0_32
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f887,f301,f356]) ).
fof(f301,plain,
( spl0_19
<=> e21 = h(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f887,plain,
( e13 = j(e21)
| ~ spl0_19 ),
inference(superposition,[],[f78,f303]) ).
fof(f303,plain,
( e21 = h(e13)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f890,plain,
( ~ spl0_19
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl0_19
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f888,f117]) ).
fof(f888,plain,
( e10 = e13
| ~ spl0_19
| ~ spl0_35 ),
inference(forward_demodulation,[],[f887,f370]) ).
fof(f882,plain,
( ~ spl0_17
| spl0_42 ),
inference(avatar_contradiction_clause,[],[f881]) ).
fof(f881,plain,
( $false
| ~ spl0_17
| spl0_42 ),
inference(subsumption_resolution,[],[f880,f399]) ).
fof(f399,plain,
( e13 != j(e23)
| spl0_42 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f880,plain,
( e13 = j(e23)
| ~ spl0_17 ),
inference(superposition,[],[f78,f295]) ).
fof(f295,plain,
( e23 = h(e13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl0_17
<=> e23 = h(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f876,plain,
( spl0_29
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f873,f263,f343]) ).
fof(f263,plain,
( spl0_10
<=> e20 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f873,plain,
( e11 = j(e20)
| ~ spl0_10 ),
inference(superposition,[],[f76,f265]) ).
fof(f265,plain,
( e20 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f857,plain,
( spl0_40
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f856,f431,f389]) ).
fof(f431,plain,
( spl0_50
<=> e10 = j(e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f856,plain,
( e10 = j(e22)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f839,f125]) ).
fof(f125,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f839,plain,
( op1(e10,e10) = j(e22)
| ~ spl0_50 ),
inference(superposition,[],[f175,f433]) ).
fof(f433,plain,
( e10 = j(e24)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f848,plain,
( ~ spl0_3
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f847]) ).
fof(f847,plain,
( $false
| ~ spl0_3
| ~ spl0_50 ),
inference(subsumption_resolution,[],[f846,f113]) ).
fof(f113,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/tmp/tmp.dzBxAMuaPm/Vampire---4.8_16729',ax2) ).
fof(f846,plain,
( e22 = e24
| ~ spl0_3
| ~ spl0_50 ),
inference(forward_demodulation,[],[f838,f236]) ).
fof(f236,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_3
<=> e22 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f838,plain,
( e24 = h(e10)
| ~ spl0_50 ),
inference(superposition,[],[f74,f433]) ).
fof(f74,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f795,plain,
( spl0_35
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f794,f238,f368]) ).
fof(f238,plain,
( spl0_4
<=> e21 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f794,plain,
( e10 = j(e21)
| ~ spl0_4 ),
inference(superposition,[],[f75,f240]) ).
fof(f240,plain,
( e21 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f75,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f778,plain,
( spl0_50
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f755,f226,f431]) ).
fof(f226,plain,
( spl0_1
<=> e24 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f755,plain,
( e10 = j(e24)
| ~ spl0_1 ),
inference(superposition,[],[f75,f228]) ).
fof(f228,plain,
( e24 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f753,plain,
( ~ spl0_5
| spl0_30 ),
inference(avatar_contradiction_clause,[],[f752]) ).
fof(f752,plain,
( $false
| ~ spl0_5
| spl0_30 ),
inference(subsumption_resolution,[],[f751,f348]) ).
fof(f348,plain,
( e10 != j(e20)
| spl0_30 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f751,plain,
( e10 = j(e20)
| ~ spl0_5 ),
inference(superposition,[],[f75,f244]) ).
fof(f244,plain,
( e20 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_5
<=> e20 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f744,plain,
( spl0_40
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f644,f234,f389]) ).
fof(f644,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f75,f236]) ).
fof(f743,plain,
( spl0_37
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f739,f297,f377]) ).
fof(f297,plain,
( spl0_18
<=> e22 = h(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f739,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f78,f299]) ).
fof(f299,plain,
( e22 = h(e13)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f736,plain,
( ~ spl0_16
| spl0_47 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| ~ spl0_16
| spl0_47 ),
inference(subsumption_resolution,[],[f734,f420]) ).
fof(f420,plain,
( e13 != j(e24)
| spl0_47 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f734,plain,
( e13 = j(e24)
| ~ spl0_16 ),
inference(superposition,[],[f78,f291]) ).
fof(f291,plain,
( e24 = h(e13)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl0_16
<=> e24 = h(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f712,plain,
( spl0_28
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f709,f284,f339]) ).
fof(f284,plain,
( spl0_15
<=> e20 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f709,plain,
( e12 = j(e20)
| ~ spl0_15 ),
inference(superposition,[],[f77,f286]) ).
fof(f286,plain,
( e20 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f704,plain,
( ~ spl0_11
| spl0_48 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f703,plain,
( $false
| ~ spl0_11
| spl0_48 ),
inference(subsumption_resolution,[],[f701,f424]) ).
fof(f424,plain,
( e12 != j(e24)
| spl0_48 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f701,plain,
( e12 = j(e24)
| ~ spl0_11 ),
inference(superposition,[],[f77,f270]) ).
fof(f270,plain,
( e24 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl0_11
<=> e24 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f693,plain,
( ~ spl0_12
| spl0_43 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f692,plain,
( $false
| ~ spl0_12
| spl0_43 ),
inference(subsumption_resolution,[],[f690,f403]) ).
fof(f403,plain,
( e12 != j(e23)
| spl0_43 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f690,plain,
( e12 = j(e23)
| ~ spl0_12 ),
inference(superposition,[],[f77,f274]) ).
fof(f274,plain,
( e23 = h(e12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl0_12
<=> e23 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f674,plain,
( spl0_34
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f673,f259,f364]) ).
fof(f259,plain,
( spl0_9
<=> e21 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f673,plain,
( e11 = j(e21)
| ~ spl0_9 ),
inference(superposition,[],[f76,f261]) ).
fof(f261,plain,
( e21 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f640,plain,
( spl0_3
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f639,f389,f234]) ).
fof(f639,plain,
( e22 = h(e10)
| ~ spl0_40 ),
inference(superposition,[],[f72,f391]) ).
fof(f72,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f621,plain,
( spl0_45
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f593,f230,f410]) ).
fof(f230,plain,
( spl0_2
<=> e23 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f593,plain,
( e10 = j(e23)
| ~ spl0_2 ),
inference(superposition,[],[f75,f232]) ).
fof(f232,plain,
( e23 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f620,plain,
( spl0_44
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f616,f251,f406]) ).
fof(f251,plain,
( spl0_7
<=> e23 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f616,plain,
( e11 = j(e23)
| ~ spl0_7 ),
inference(superposition,[],[f76,f253]) ).
fof(f253,plain,
( e23 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f613,plain,
( spl0_49
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f594,f247,f427]) ).
fof(f247,plain,
( spl0_6
<=> e24 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f594,plain,
( e11 = j(e24)
| ~ spl0_6 ),
inference(superposition,[],[f76,f249]) ).
fof(f249,plain,
( e24 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f588,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl0_14
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f586,f111]) ).
fof(f111,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f586,plain,
( e21 = e24
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_demodulation,[],[f585,f282]) ).
fof(f585,plain,
( e24 = h(e12)
| ~ spl0_48 ),
inference(superposition,[],[f74,f425]) ).
fof(f578,plain,
( spl0_21
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f577,plain,
( $false
| spl0_21
| ~ spl0_46 ),
inference(subsumption_resolution,[],[f576,f311]) ).
fof(f311,plain,
( e24 != h(e14)
| spl0_21 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f576,plain,
( e24 = h(e14)
| ~ spl0_46 ),
inference(superposition,[],[f74,f417]) ).
fof(f543,plain,
( spl0_14
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f542,f360,f280]) ).
fof(f542,plain,
( e21 = h(e12)
| ~ spl0_33 ),
inference(superposition,[],[f71,f362]) ).
fof(f71,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f483,plain,
( spl0_19
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f479,f356,f301]) ).
fof(f479,plain,
( e21 = h(e13)
| ~ spl0_32 ),
inference(superposition,[],[f71,f358]) ).
fof(f447,plain,
( ~ spl0_25
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f446,plain,
( $false
| ~ spl0_25
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f445,f105]) ).
fof(f105,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f445,plain,
( e20 = e21
| ~ spl0_25
| ~ spl0_31 ),
inference(forward_demodulation,[],[f444,f328]) ).
fof(f444,plain,
( e21 = h(e14)
| ~ spl0_31 ),
inference(superposition,[],[f71,f354]) ).
fof(f442,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| ~ spl0_21
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f438,f108]) ).
fof(f108,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f438,plain,
( e20 = e24
| ~ spl0_21
| ~ spl0_25 ),
inference(superposition,[],[f312,f328]) ).
fof(f436,plain,
( spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f435,f331,f326]) ).
fof(f435,plain,
( e20 = h(e14)
| ~ spl0_26 ),
inference(superposition,[],[f70,f333]) ).
fof(f70,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f434,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f10,f431,f427,f423,f419,f415]) ).
fof(f10,plain,
( e10 = j(e24)
| e11 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e14 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f371,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f13,f368,f364,f360,f356,f352]) ).
fof(f13,plain,
( e10 = j(e21)
| e11 = j(e21)
| e12 = j(e21)
| e13 = j(e21)
| e14 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f329,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f15,f326,f322,f318,f314,f310]) ).
fof(f15,plain,
( e20 = h(e14)
| e21 = h(e14)
| e22 = h(e14)
| e23 = h(e14)
| e24 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f308,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f16,f305,f301,f297,f293,f289]) ).
fof(f16,plain,
( e20 = h(e13)
| e21 = h(e13)
| e22 = h(e13)
| e23 = h(e13)
| e24 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f287,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f17,f284,f280,f276,f272,f268]) ).
fof(f17,plain,
( e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e24 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f266,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f18,f263,f259,f255,f251,f247]) ).
fof(f18,plain,
( e20 = h(e11)
| e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e24 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f245,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f242,f238,f234,f230,f226]) ).
fof(f19,plain,
( e20 = h(e10)
| e21 = h(e10)
| e22 = h(e10)
| e23 = h(e10)
| e24 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG076+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:55:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_PEQ problem
% 0.15/0.37 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.dzBxAMuaPm/Vampire---4.8_16729
% 0.55/0.75 % (16994)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)
% 0.55/0.75 % (16989)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)
% 0.55/0.75 % (16988)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)
% 0.55/0.75 % (16992)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)
% 0.55/0.75 % (16991)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)
% 0.55/0.75 % (16993)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)
% 0.59/0.75 % (16995)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)
% 0.59/0.75 % (16992)Refutation not found, incomplete strategy% (16992)------------------------------
% 0.59/0.75 % (16992)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (16992)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (16992)Memory used [KB]: 1181
% 0.59/0.75 % (16992)Time elapsed: 0.006 s
% 0.59/0.75 % (16992)Instructions burned: 10 (million)
% 0.59/0.75 % (16988)Refutation not found, incomplete strategy% (16988)------------------------------
% 0.59/0.75 % (16988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (16988)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (16992)------------------------------
% 0.59/0.75 % (16992)------------------------------
% 0.59/0.75 % (16988)Memory used [KB]: 1181
% 0.59/0.75 % (16995)Refutation not found, incomplete strategy% (16995)------------------------------
% 0.59/0.75 % (16995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (16995)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (16995)Memory used [KB]: 1167
% 0.59/0.75 % (16995)Time elapsed: 0.006 s
% 0.59/0.75 % (16995)Instructions burned: 8 (million)
% 0.59/0.75 % (16988)Time elapsed: 0.007 s
% 0.59/0.75 % (16988)Instructions burned: 11 (million)
% 0.59/0.75 % (16995)------------------------------
% 0.59/0.75 % (16995)------------------------------
% 0.59/0.75 % (16988)------------------------------
% 0.59/0.75 % (16988)------------------------------
% 0.59/0.75 % (16990)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 % (16996)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.76 % (16997)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.76 % (16991)Instruction limit reached!
% 0.59/0.76 % (16991)------------------------------
% 0.59/0.76 % (16991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (16991)Termination reason: Unknown
% 0.59/0.76 % (16991)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (16991)Memory used [KB]: 1330
% 0.59/0.76 % (16991)Time elapsed: 0.018 s
% 0.59/0.76 % (16991)Instructions burned: 33 (million)
% 0.59/0.76 % (16991)------------------------------
% 0.59/0.76 % (16991)------------------------------
% 0.59/0.76 % (16997)Refutation not found, incomplete strategy% (16997)------------------------------
% 0.59/0.76 % (16997)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (16997)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (16997)Memory used [KB]: 1236
% 0.59/0.76 % (16997)Time elapsed: 0.009 s
% 0.59/0.76 % (16997)Instructions burned: 17 (million)
% 0.59/0.76 % (16997)------------------------------
% 0.59/0.76 % (16997)------------------------------
% 0.59/0.77 % (16993)Refutation not found, incomplete strategy% (16993)------------------------------
% 0.59/0.77 % (16993)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (16993)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (16993)Memory used [KB]: 1381
% 0.59/0.77 % (16993)Time elapsed: 0.020 s
% 0.59/0.77 % (16993)Instructions burned: 38 (million)
% 0.59/0.77 % (16998)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.77 % (16993)------------------------------
% 0.59/0.77 % (16993)------------------------------
% 0.59/0.77 % (16999)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.77 % (17000)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.59/0.77 % (16989)Instruction limit reached!
% 0.59/0.77 % (16989)------------------------------
% 0.59/0.77 % (16989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (16989)Termination reason: Unknown
% 0.59/0.77 % (16989)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (16989)Memory used [KB]: 1813
% 0.59/0.77 % (16989)Time elapsed: 0.026 s
% 0.59/0.77 % (16989)Instructions burned: 51 (million)
% 0.59/0.77 % (16989)------------------------------
% 0.59/0.77 % (16989)------------------------------
% 0.59/0.77 % (16994)First to succeed.
% 0.59/0.77 % (17001)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.77 % (16994)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16984"
% 0.59/0.77 % (16994)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Theorem for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.78 % (16994)------------------------------
% 0.59/0.78 % (16994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (16994)Termination reason: Refutation
% 0.59/0.78
% 0.59/0.78 % (16994)Memory used [KB]: 1415
% 0.59/0.78 % (16994)Time elapsed: 0.028 s
% 0.59/0.78 % (16994)Instructions burned: 88 (million)
% 0.59/0.78 % (16984)Success in time 0.39 s
% 0.59/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------