TSTP Solution File: SYO615-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO615-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 : Tue Apr 30 18:23:26 EDT 2024
% Result : Unsatisfiable 167.97s 24.39s
% Output : Refutation 167.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of formulae : 321 ( 4 unt; 0 def)
% Number of atoms : 1169 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1655 ( 807 ~; 823 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 16 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 485 ( 485 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f538766,plain,
$false,
inference(avatar_sat_refutation,[],[f735,f5638,f42498,f43976,f44010,f44418,f44771,f46596,f46656,f46931,f53944,f55076,f55114,f55156,f66587,f154552,f156623,f158065,f160654,f161427,f161487,f162004,f163204,f327003,f332111,f338962,f352226,f368195,f386171,f386898,f396019,f397945,f407661,f512892,f514069,f516267,f520602,f521781,f524975,f527016,f529364,f535553,f538765]) ).
fof(f538765,plain,
( spl10_4
| spl10_7
| ~ spl10_1
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f538764,f43974,f730,f44769,f42496]) ).
fof(f42496,plain,
( spl10_4
<=> ! [X1] : sP2(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f44769,plain,
( spl10_7
<=> ! [X0] : sP9(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f730,plain,
( spl10_1
<=> ! [X1] : sP1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f43974,plain,
( spl10_5
<=> ! [X0] : sP8(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f538764,plain,
( ! [X0,X1] :
( sP9(X0)
| sP2(X1) )
| ~ spl10_1
| ~ spl10_5 ),
inference(resolution,[],[f538763,f731]) ).
fof(f731,plain,
( ! [X1] : sP1(X1)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f538763,plain,
( ! [X0,X1] :
( ~ sP1(max(s(X0),s(X1)))
| sP9(X0)
| sP2(X1) )
| ~ spl10_5 ),
inference(resolution,[],[f5773,f43975]) ).
fof(f43975,plain,
( ! [X0] : sP8(X0)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f43974]) ).
fof(f5773,plain,
! [X0,X1] :
( ~ sP8(max(s(X0),s(X1)))
| sP9(X0)
| ~ sP1(max(s(X0),s(X1)))
| sP2(X1) ),
inference(resolution,[],[f870,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a0)
| ~ sP1(max(X0,s(X1)))
| sP2(X1) ),
inference(resolution,[],[f11,f29]) ).
fof(f29,plain,
! [X0,X1] : le(X0,max(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f11,plain,
! [X8,X7] :
( ~ eq(f(X8),a0)
| ~ le(s(X7),X8)
| ~ sP1(X8)
| sP2(X7) ),
inference(cnf_transformation,[],[f11_D]) ).
fof(f11_D,plain,
! [X7] :
( ! [X8] :
( ~ eq(f(X8),a0)
| ~ le(s(X7),X8)
| ~ sP1(X8) )
<=> ~ sP2(X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f870,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| sP9(X0)
| ~ sP8(max(s(X0),X1)) ),
inference(resolution,[],[f126,f4]) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f126,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| ~ sP8(max(s(X0),X1))
| sP9(X0) ),
inference(resolution,[],[f25,f27]) ).
fof(f27,plain,
! [X0,X1] : le(X0,max(X0,X1)),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f25,plain,
! [X6,X5] :
( ~ eq(f(X6),a1)
| ~ le(s(X5),X6)
| ~ sP8(X6)
| sP9(X5) ),
inference(cnf_transformation,[],[f25_D]) ).
fof(f25_D,plain,
! [X5] :
( ! [X6] :
( ~ eq(f(X6),a1)
| ~ le(s(X5),X6)
| ~ sP8(X6) )
<=> ~ sP9(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f535553,plain,
( spl10_6
| spl10_7
| ~ spl10_4
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f535168,f43974,f42496,f44769,f44008]) ).
fof(f44008,plain,
( spl10_6
<=> ! [X1] : sP3(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f535168,plain,
( ! [X0,X1] :
( sP9(X0)
| sP3(X1) )
| ~ spl10_4
| ~ spl10_5 ),
inference(resolution,[],[f535155,f42497]) ).
fof(f42497,plain,
( ! [X1] : sP2(X1)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f42496]) ).
fof(f535155,plain,
( ! [X0,X1] :
( ~ sP2(max(s(X0),s(X1)))
| sP9(X0)
| sP3(X1) )
| ~ spl10_5 ),
inference(resolution,[],[f5772,f43975]) ).
fof(f5772,plain,
! [X0,X1] :
( ~ sP8(max(s(X0),s(X1)))
| sP9(X0)
| ~ sP2(max(s(X0),s(X1)))
| sP3(X1) ),
inference(resolution,[],[f870,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a0)
| ~ sP2(max(X0,s(X1)))
| sP3(X1) ),
inference(resolution,[],[f13,f29]) ).
fof(f13,plain,
! [X6,X7] :
( ~ eq(f(X7),a0)
| ~ le(s(X6),X7)
| ~ sP2(X7)
| sP3(X6) ),
inference(cnf_transformation,[],[f13_D]) ).
fof(f13_D,plain,
! [X6] :
( ! [X7] :
( ~ eq(f(X7),a0)
| ~ le(s(X6),X7)
| ~ sP2(X7) )
<=> ~ sP3(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f529364,plain,
( spl10_6
| spl10_3
| ~ spl10_2
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f528979,f42496,f733,f5636,f44008]) ).
fof(f5636,plain,
( spl10_3
<=> ! [X0] : sP7(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f733,plain,
( spl10_2
<=> ! [X0] : sP6(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f528979,plain,
( ! [X0,X1] :
( sP7(X0)
| sP3(X1) )
| ~ spl10_2
| ~ spl10_4 ),
inference(resolution,[],[f55084,f42497]) ).
fof(f55084,plain,
( ! [X0,X1] :
( ~ sP2(max(s(X0),s(X1)))
| sP7(X0)
| sP3(X1) )
| ~ spl10_2 ),
inference(resolution,[],[f734,f5604]) ).
fof(f5604,plain,
! [X0,X1] :
( ~ sP6(max(s(X0),s(X1)))
| sP7(X0)
| ~ sP2(max(s(X0),s(X1)))
| sP3(X1) ),
inference(resolution,[],[f864,f88]) ).
fof(f864,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| sP7(X0)
| ~ sP6(max(s(X0),X1)) ),
inference(resolution,[],[f110,f4]) ).
fof(f110,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| ~ sP6(max(s(X0),X1))
| sP7(X0) ),
inference(resolution,[],[f21,f27]) ).
fof(f21,plain,
! [X8,X7] :
( ~ eq(f(X8),a1)
| ~ le(s(X7),X8)
| ~ sP6(X8)
| sP7(X7) ),
inference(cnf_transformation,[],[f21_D]) ).
fof(f21_D,plain,
! [X7] :
( ! [X8] :
( ~ eq(f(X8),a1)
| ~ le(s(X7),X8)
| ~ sP6(X8) )
<=> ~ sP7(X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f734,plain,
( ! [X0] : sP6(X0)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f527016,plain,
( ~ spl10_2
| ~ spl10_15 ),
inference(avatar_contradiction_clause,[],[f526000]) ).
fof(f526000,plain,
( $false
| ~ spl10_2
| ~ spl10_15 ),
inference(resolution,[],[f525885,f525177]) ).
fof(f525177,plain,
( ! [X0,X1] : sP5(max(s(X0),X1))
| ~ spl10_15 ),
inference(resolution,[],[f524976,f27]) ).
fof(f524976,plain,
( ! [X0,X1] :
( ~ le(s(X1),X0)
| sP5(X0) )
| ~ spl10_15 ),
inference(resolution,[],[f163203,f51]) ).
fof(f51,plain,
! [X0,X1] :
( eq(f(X0),a0)
| sP5(X1)
| ~ le(s(X0),X1) ),
inference(resolution,[],[f17,f4]) ).
fof(f17,plain,
! [X3,X4] :
( ~ eq(f(X3),a1)
| ~ le(s(X3),X4)
| sP5(X4) ),
inference(cnf_transformation,[],[f17_D]) ).
fof(f17_D,plain,
! [X4] :
( ! [X3] :
( ~ eq(f(X3),a1)
| ~ le(s(X3),X4) )
<=> ~ sP5(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f163203,plain,
( ! [X1] : ~ eq(f(X1),a0)
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f163202]) ).
fof(f163202,plain,
( spl10_15
<=> ! [X1] : ~ eq(f(X1),a0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f525885,plain,
( ! [X0] : ~ sP5(X0)
| ~ spl10_2
| ~ spl10_15 ),
inference(resolution,[],[f525761,f525147]) ).
fof(f525147,plain,
( ! [X0] : sP9(X0)
| ~ spl10_2
| ~ spl10_15 ),
inference(resolution,[],[f525019,f525116]) ).
fof(f525116,plain,
( ! [X0] : sP8(X0)
| ~ spl10_2
| ~ spl10_15 ),
inference(resolution,[],[f525018,f525083]) ).
fof(f525083,plain,
( ! [X0] : sP7(X0)
| ~ spl10_2
| ~ spl10_15 ),
inference(resolution,[],[f525017,f734]) ).
fof(f525017,plain,
( ! [X0] :
( ~ sP6(s(X0))
| sP7(X0) )
| ~ spl10_15 ),
inference(resolution,[],[f163203,f199]) ).
fof(f199,plain,
! [X0] :
( eq(f(s(X0)),a0)
| sP7(X0)
| ~ sP6(s(X0)) ),
inference(resolution,[],[f109,f4]) ).
fof(f109,plain,
! [X0] :
( ~ eq(f(s(X0)),a1)
| ~ sP6(s(X0))
| sP7(X0) ),
inference(resolution,[],[f21,f1]) ).
fof(f525018,plain,
( ! [X0] :
( ~ sP7(s(X0))
| sP8(X0) )
| ~ spl10_15 ),
inference(resolution,[],[f163203,f200]) ).
fof(f200,plain,
! [X0] :
( eq(f(s(X0)),a0)
| sP8(X0)
| ~ sP7(s(X0)) ),
inference(resolution,[],[f117,f4]) ).
fof(f117,plain,
! [X0] :
( ~ eq(f(s(X0)),a1)
| ~ sP7(s(X0))
| sP8(X0) ),
inference(resolution,[],[f23,f1]) ).
fof(f23,plain,
! [X6,X7] :
( ~ eq(f(X7),a1)
| ~ le(s(X6),X7)
| ~ sP7(X7)
| sP8(X6) ),
inference(cnf_transformation,[],[f23_D]) ).
fof(f23_D,plain,
! [X6] :
( ! [X7] :
( ~ eq(f(X7),a1)
| ~ le(s(X6),X7)
| ~ sP7(X7) )
<=> ~ sP8(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f525019,plain,
( ! [X0] :
( ~ sP8(s(X0))
| sP9(X0) )
| ~ spl10_15 ),
inference(resolution,[],[f163203,f208]) ).
fof(f208,plain,
! [X0] :
( eq(f(s(X0)),a0)
| sP9(X0)
| ~ sP8(s(X0)) ),
inference(resolution,[],[f125,f4]) ).
fof(f125,plain,
! [X0] :
( ~ eq(f(s(X0)),a1)
| ~ sP8(s(X0))
| sP9(X0) ),
inference(resolution,[],[f25,f1]) ).
fof(f525761,plain,
( ! [X0] :
( ~ sP9(s(X0))
| ~ sP5(X0) )
| ~ spl10_15 ),
inference(resolution,[],[f525697,f163203]) ).
fof(f525697,plain,
( ! [X0] :
( eq(f(X0),a0)
| ~ sP5(X0)
| ~ sP9(s(X0)) )
| ~ spl10_15 ),
inference(resolution,[],[f525020,f4]) ).
fof(f525020,plain,
( ! [X0] :
( ~ eq(f(X0),a1)
| ~ sP9(s(X0))
| ~ sP5(X0) )
| ~ spl10_15 ),
inference(resolution,[],[f163203,f342]) ).
fof(f342,plain,
! [X0] :
( eq(f(s(X0)),a0)
| ~ sP5(X0)
| ~ sP9(s(X0))
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f148,f4]) ).
fof(f148,plain,
! [X0] :
( ~ eq(f(s(X0)),a1)
| ~ eq(f(X0),a1)
| ~ sP5(X0)
| ~ sP9(s(X0)) ),
inference(resolution,[],[f26,f1]) ).
fof(f26,plain,
! [X4,X5] :
( ~ eq(f(X5),a1)
| ~ eq(f(X4),a1)
| ~ le(s(X4),X5)
| ~ sP5(X4)
| ~ sP9(X5) ),
inference(general_splitting,[],[f24,f25_D]) ).
fof(f24,plain,
! [X6,X4,X5] :
( ~ eq(f(X4),a1)
| ~ eq(f(X5),a1)
| ~ eq(f(X6),a1)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ sP5(X4)
| ~ sP8(X6) ),
inference(general_splitting,[],[f22,f23_D]) ).
fof(f22,plain,
! [X6,X7,X4,X5] :
( ~ eq(f(X4),a1)
| ~ eq(f(X5),a1)
| ~ eq(f(X6),a1)
| ~ eq(f(X7),a1)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ sP5(X4)
| ~ sP7(X7) ),
inference(general_splitting,[],[f20,f21_D]) ).
fof(f20,plain,
! [X8,X6,X7,X4,X5] :
( ~ eq(f(X4),a1)
| ~ eq(f(X5),a1)
| ~ eq(f(X6),a1)
| ~ eq(f(X7),a1)
| ~ eq(f(X8),a1)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ sP5(X4)
| ~ sP6(X8) ),
inference(general_splitting,[],[f18,f19_D]) ).
fof(f19,plain,
! [X8,X9] :
( ~ eq(f(X9),a1)
| ~ le(s(X8),X9)
| sP6(X8) ),
inference(cnf_transformation,[],[f19_D]) ).
fof(f19_D,plain,
! [X8] :
( ! [X9] :
( ~ eq(f(X9),a1)
| ~ le(s(X8),X9) )
<=> ~ sP6(X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f18,plain,
! [X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X4),a1)
| ~ eq(f(X5),a1)
| ~ eq(f(X6),a1)
| ~ eq(f(X7),a1)
| ~ eq(f(X8),a1)
| ~ eq(f(X9),a1)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ sP5(X4) ),
inference(general_splitting,[],[f6,f17_D]) ).
fof(f6,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X3),a1)
| ~ eq(f(X4),a1)
| ~ eq(f(X5),a1)
| ~ eq(f(X6),a1)
| ~ eq(f(X7),a1)
| ~ eq(f(X8),a1)
| ~ eq(f(X9),a1)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f524975,plain,
( spl10_15
| spl10_3
| ~ spl10_2
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f524484,f53942,f733,f5636,f163202]) ).
fof(f53942,plain,
( spl10_9
<=> ! [X0] :
( ~ sP0(X0)
| ~ eq(f(X0),a0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f524484,plain,
( ! [X0,X1] :
( sP7(X0)
| ~ eq(f(X1),a0) )
| ~ spl10_2
| ~ spl10_9 ),
inference(resolution,[],[f524416,f39]) ).
fof(f39,plain,
! [X0,X1] :
( sP0(max(X1,s(X0)))
| ~ eq(f(X0),a0) ),
inference(resolution,[],[f7,f29]) ).
fof(f7,plain,
! [X3,X4] :
( ~ eq(f(X3),a0)
| ~ le(s(X3),X4)
| sP0(X4) ),
inference(cnf_transformation,[],[f7_D]) ).
fof(f7_D,plain,
! [X4] :
( ! [X3] :
( ~ eq(f(X3),a0)
| ~ le(s(X3),X4) )
<=> ~ sP0(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f524416,plain,
( ! [X0,X1] :
( ~ sP0(max(s(X0),X1))
| sP7(X0) )
| ~ spl10_2
| ~ spl10_9 ),
inference(resolution,[],[f516326,f734]) ).
fof(f516326,plain,
( ! [X0,X1] :
( ~ sP6(max(s(X0),X1))
| sP7(X0)
| ~ sP0(max(s(X0),X1)) )
| ~ spl10_9 ),
inference(resolution,[],[f53943,f864]) ).
fof(f53943,plain,
( ! [X0] :
( ~ eq(f(X0),a0)
| ~ sP0(X0) )
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f53942]) ).
fof(f521781,plain,
( spl10_15
| spl10_7
| ~ spl10_5
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f521290,f53942,f43974,f44769,f163202]) ).
fof(f521290,plain,
( ! [X0,X1] :
( sP9(X0)
| ~ eq(f(X1),a0) )
| ~ spl10_5
| ~ spl10_9 ),
inference(resolution,[],[f521223,f39]) ).
fof(f521223,plain,
( ! [X0,X1] :
( ~ sP0(max(s(X0),X1))
| sP9(X0) )
| ~ spl10_5
| ~ spl10_9 ),
inference(resolution,[],[f516328,f43975]) ).
fof(f516328,plain,
( ! [X0,X1] :
( ~ sP8(max(s(X0),X1))
| sP9(X0)
| ~ sP0(max(s(X0),X1)) )
| ~ spl10_9 ),
inference(resolution,[],[f53943,f870]) ).
fof(f520602,plain,
( spl10_15
| spl10_5
| ~ spl10_3
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f520111,f53942,f5636,f43974,f163202]) ).
fof(f520111,plain,
( ! [X0,X1] :
( sP8(X0)
| ~ eq(f(X1),a0) )
| ~ spl10_3
| ~ spl10_9 ),
inference(resolution,[],[f520044,f39]) ).
fof(f520044,plain,
( ! [X0,X1] :
( ~ sP0(max(s(X0),X1))
| sP8(X0) )
| ~ spl10_3
| ~ spl10_9 ),
inference(resolution,[],[f516327,f5637]) ).
fof(f5637,plain,
( ! [X0] : sP7(X0)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f5636]) ).
fof(f516327,plain,
( ! [X0,X1] :
( ~ sP7(max(s(X0),X1))
| sP8(X0)
| ~ sP0(max(s(X0),X1)) )
| ~ spl10_9 ),
inference(resolution,[],[f53943,f866]) ).
fof(f866,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| sP8(X0)
| ~ sP7(max(s(X0),X1)) ),
inference(resolution,[],[f118,f4]) ).
fof(f118,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| ~ sP7(max(s(X0),X1))
| sP8(X0) ),
inference(resolution,[],[f23,f27]) ).
fof(f516267,plain,
( spl10_7
| spl10_9
| ~ spl10_5
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f516266,f46929,f43974,f53942,f44769]) ).
fof(f46929,plain,
( spl10_8
<=> ! [X0] : sP4(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f516266,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a0)
| ~ sP0(X0)
| sP9(X1) )
| ~ spl10_5
| ~ spl10_8 ),
inference(resolution,[],[f514084,f46930]) ).
fof(f46930,plain,
( ! [X0] : sP4(X0)
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f46929]) ).
fof(f514084,plain,
( ! [X0,X1] :
( ~ sP4(max(s(X1),s(X0)))
| ~ eq(f(X1),a0)
| ~ sP0(X1)
| sP9(X0) )
| ~ spl10_5 ),
inference(resolution,[],[f43975,f5801]) ).
fof(f5801,plain,
! [X0,X1] :
( ~ sP8(max(s(X1),s(X0)))
| sP9(X0)
| ~ eq(f(X1),a0)
| ~ sP0(X1)
| ~ sP4(max(s(X1),s(X0))) ),
inference(resolution,[],[f871,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a0)
| ~ sP0(X0)
| ~ sP4(max(s(X0),X1)) ),
inference(resolution,[],[f16,f27]) ).
fof(f16,plain,
! [X4,X5] :
( ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ le(s(X4),X5)
| ~ sP0(X4)
| ~ sP4(X5) ),
inference(general_splitting,[],[f14,f15_D]) ).
fof(f15,plain,
! [X6,X5] :
( ~ eq(f(X6),a0)
| ~ le(s(X5),X6)
| ~ sP3(X6)
| sP4(X5) ),
inference(cnf_transformation,[],[f15_D]) ).
fof(f15_D,plain,
! [X5] :
( ! [X6] :
( ~ eq(f(X6),a0)
| ~ le(s(X5),X6)
| ~ sP3(X6) )
<=> ~ sP4(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X6,X4,X5] :
( ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ sP0(X4)
| ~ sP3(X6) ),
inference(general_splitting,[],[f12,f13_D]) ).
fof(f12,plain,
! [X6,X7,X4,X5] :
( ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X7),a0)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ sP0(X4)
| ~ sP2(X7) ),
inference(general_splitting,[],[f10,f11_D]) ).
fof(f10,plain,
! [X8,X6,X7,X4,X5] :
( ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X7),a0)
| ~ eq(f(X8),a0)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ sP0(X4)
| ~ sP1(X8) ),
inference(general_splitting,[],[f8,f9_D]) ).
fof(f9,plain,
! [X8,X9] :
( ~ eq(f(X9),a0)
| ~ le(s(X8),X9)
| sP1(X8) ),
inference(cnf_transformation,[],[f9_D]) ).
fof(f9_D,plain,
! [X8] :
( ! [X9] :
( ~ eq(f(X9),a0)
| ~ le(s(X8),X9) )
<=> ~ sP1(X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f8,plain,
! [X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X7),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X9),a0)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ sP0(X4) ),
inference(general_splitting,[],[f5,f7_D]) ).
fof(f5,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X3),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X7),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X9),a0)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f871,plain,
! [X0,X1] :
( eq(f(max(X0,s(X1))),a0)
| sP9(X1)
| ~ sP8(max(X0,s(X1))) ),
inference(resolution,[],[f127,f4]) ).
fof(f127,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a1)
| ~ sP8(max(X0,s(X1)))
| sP9(X1) ),
inference(resolution,[],[f25,f29]) ).
fof(f514069,plain,
( spl10_5
| spl10_9
| ~ spl10_3
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f514068,f46929,f5636,f53942,f43974]) ).
fof(f514068,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a0)
| ~ sP0(X0)
| sP8(X1) )
| ~ spl10_3
| ~ spl10_8 ),
inference(resolution,[],[f512918,f46930]) ).
fof(f512918,plain,
( ! [X0,X1] :
( ~ sP4(max(s(X0),s(X1)))
| ~ eq(f(X1),a0)
| ~ sP0(X1)
| sP8(X0) )
| ~ spl10_3 ),
inference(resolution,[],[f5685,f5637]) ).
fof(f5685,plain,
! [X0,X1] :
( ~ sP7(max(s(X0),s(X1)))
| sP8(X0)
| ~ eq(f(X1),a0)
| ~ sP0(X1)
| ~ sP4(max(s(X0),s(X1))) ),
inference(resolution,[],[f866,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a0)
| ~ eq(f(X1),a0)
| ~ sP0(X1)
| ~ sP4(max(X0,s(X1))) ),
inference(resolution,[],[f16,f29]) ).
fof(f512892,plain,
( spl10_3
| spl10_9
| ~ spl10_2
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f512889,f46929,f733,f53942,f5636]) ).
fof(f512889,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a0)
| ~ sP0(X0)
| sP7(X1) )
| ~ spl10_2
| ~ spl10_8 ),
inference(resolution,[],[f512887,f46930]) ).
fof(f512887,plain,
( ! [X0,X1] :
( ~ sP4(max(s(X0),s(X1)))
| ~ eq(f(X1),a0)
| ~ sP0(X1)
| sP7(X0) )
| ~ spl10_2 ),
inference(resolution,[],[f5602,f734]) ).
fof(f5602,plain,
! [X0,X1] :
( ~ sP6(max(s(X0),s(X1)))
| sP7(X0)
| ~ eq(f(X1),a0)
| ~ sP0(X1)
| ~ sP4(max(s(X0),s(X1))) ),
inference(resolution,[],[f864,f139]) ).
fof(f407661,plain,
( ~ spl10_1
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f407077]) ).
fof(f407077,plain,
( $false
| ~ spl10_1
| ~ spl10_12 ),
inference(resolution,[],[f406989,f398289]) ).
fof(f398289,plain,
( ! [X0,X1] : sP0(max(s(X0),X1))
| ~ spl10_12 ),
inference(resolution,[],[f397947,f27]) ).
fof(f397947,plain,
( ! [X0,X1] :
( ~ le(s(X0),X1)
| sP0(X1) )
| ~ spl10_12 ),
inference(resolution,[],[f397946,f7]) ).
fof(f397946,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl10_12 ),
inference(resolution,[],[f156622,f4]) ).
fof(f156622,plain,
( ! [X1] : ~ eq(f(X1),a1)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f156621]) ).
fof(f156621,plain,
( spl10_12
<=> ! [X1] : ~ eq(f(X1),a1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f406989,plain,
( ! [X0] : ~ sP0(X0)
| ~ spl10_1
| ~ spl10_12 ),
inference(resolution,[],[f406550,f400766]) ).
fof(f400766,plain,
( ! [X0] : sP4(X0)
| ~ spl10_1
| ~ spl10_12 ),
inference(resolution,[],[f400739,f398005]) ).
fof(f398005,plain,
( ! [X0] :
( ~ sP3(s(X0))
| sP4(X0) )
| ~ spl10_12 ),
inference(resolution,[],[f397946,f94]) ).
fof(f94,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| ~ sP3(s(X0))
| sP4(X0) ),
inference(resolution,[],[f15,f1]) ).
fof(f400739,plain,
( ! [X0] : sP3(X0)
| ~ spl10_1
| ~ spl10_12 ),
inference(resolution,[],[f400738,f398004]) ).
fof(f398004,plain,
( ! [X0] :
( ~ sP2(s(X0))
| sP3(X0) )
| ~ spl10_12 ),
inference(resolution,[],[f397946,f86]) ).
fof(f86,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| ~ sP2(s(X0))
| sP3(X0) ),
inference(resolution,[],[f13,f1]) ).
fof(f400738,plain,
( ! [X0] : sP2(X0)
| ~ spl10_1
| ~ spl10_12 ),
inference(resolution,[],[f398003,f731]) ).
fof(f398003,plain,
( ! [X0] :
( ~ sP1(s(X0))
| sP2(X0) )
| ~ spl10_12 ),
inference(resolution,[],[f397946,f73]) ).
fof(f73,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| ~ sP1(s(X0))
| sP2(X0) ),
inference(resolution,[],[f11,f1]) ).
fof(f406550,plain,
( ! [X0] :
( ~ sP4(s(X0))
| ~ sP0(X0) )
| ~ spl10_12 ),
inference(resolution,[],[f398006,f397946]) ).
fof(f398006,plain,
( ! [X0] :
( ~ eq(f(X0),a0)
| ~ sP0(X0)
| ~ sP4(s(X0)) )
| ~ spl10_12 ),
inference(resolution,[],[f397946,f137]) ).
fof(f137,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| ~ eq(f(X0),a0)
| ~ sP0(X0)
| ~ sP4(s(X0)) ),
inference(resolution,[],[f16,f1]) ).
fof(f397945,plain,
( spl10_12
| spl10_6
| ~ spl10_4
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f397872,f154550,f42496,f44008,f156621]) ).
fof(f154550,plain,
( spl10_10
<=> ! [X0] :
( ~ eq(f(X0),a1)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f397872,plain,
( ! [X0,X1] :
( sP3(X0)
| ~ eq(f(X1),a1) )
| ~ spl10_4
| ~ spl10_10 ),
inference(resolution,[],[f392391,f42497]) ).
fof(f392391,plain,
( ! [X0,X1] :
( ~ sP2(max(s(X0),s(X1)))
| sP3(X0)
| ~ eq(f(X1),a1) )
| ~ spl10_10 ),
inference(resolution,[],[f386245,f54]) ).
fof(f54,plain,
! [X0,X1] :
( sP5(max(X1,s(X0)))
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f17,f29]) ).
fof(f386245,plain,
( ! [X0,X1] :
( ~ sP5(max(s(X0),X1))
| ~ sP2(max(s(X0),X1))
| sP3(X0) )
| ~ spl10_10 ),
inference(resolution,[],[f386173,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| ~ sP2(max(s(X0),X1))
| sP3(X0) ),
inference(resolution,[],[f13,f27]) ).
fof(f386173,plain,
( ! [X0] :
( eq(f(X0),a0)
| ~ sP5(X0) )
| ~ spl10_10 ),
inference(resolution,[],[f154551,f4]) ).
fof(f154551,plain,
( ! [X0] :
( ~ eq(f(X0),a1)
| ~ sP5(X0) )
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f154550]) ).
fof(f396019,plain,
( spl10_12
| spl10_4
| ~ spl10_1
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f395948,f154550,f730,f42496,f156621]) ).
fof(f395948,plain,
( ! [X0,X1] :
( sP2(X0)
| ~ eq(f(X1),a1) )
| ~ spl10_1
| ~ spl10_10 ),
inference(resolution,[],[f390005,f731]) ).
fof(f390005,plain,
( ! [X0,X1] :
( ~ sP1(max(s(X0),s(X1)))
| sP2(X0)
| ~ eq(f(X1),a1) )
| ~ spl10_10 ),
inference(resolution,[],[f386244,f54]) ).
fof(f386244,plain,
( ! [X0,X1] :
( ~ sP5(max(s(X0),X1))
| ~ sP1(max(s(X0),X1))
| sP2(X0) )
| ~ spl10_10 ),
inference(resolution,[],[f386173,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| ~ sP1(max(s(X0),X1))
| sP2(X0) ),
inference(resolution,[],[f11,f27]) ).
fof(f386898,plain,
( spl10_1
| spl10_1
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f386468,f154550,f730,f730]) ).
fof(f386468,plain,
( ! [X0,X1] :
( sP1(X0)
| sP1(X1) )
| ~ spl10_10 ),
inference(resolution,[],[f386243,f203]) ).
fof(f203,plain,
! [X0,X1] :
( sP5(max(X0,s(s(X1))))
| sP1(X1) ),
inference(resolution,[],[f164,f29]) ).
fof(f164,plain,
! [X0,X1] :
( ~ le(s(s(X1)),X0)
| sP5(X0)
| sP1(X1) ),
inference(resolution,[],[f51,f45]) ).
fof(f45,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| sP1(X0) ),
inference(resolution,[],[f9,f1]) ).
fof(f386243,plain,
( ! [X0,X1] :
( ~ sP5(max(s(X0),X1))
| sP1(X0) )
| ~ spl10_10 ),
inference(resolution,[],[f386173,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| sP1(X0) ),
inference(resolution,[],[f9,f27]) ).
fof(f386171,plain,
( spl10_1
| spl10_10
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f386170,f44769,f154550,f730]) ).
fof(f386170,plain,
( ! [X0,X1] :
( ~ sP5(X0)
| ~ eq(f(X0),a1)
| sP1(X1) )
| ~ spl10_7 ),
inference(resolution,[],[f13867,f44770]) ).
fof(f44770,plain,
( ! [X0] : sP9(X0)
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f44769]) ).
fof(f13867,plain,
! [X0,X1] :
( ~ sP9(max(s(X0),s(X1)))
| ~ sP5(X0)
| ~ eq(f(X0),a1)
| sP1(X1) ),
inference(resolution,[],[f1755,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a0)
| sP1(X1) ),
inference(resolution,[],[f9,f29]) ).
fof(f1755,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| ~ sP5(X0)
| ~ sP9(max(s(X0),X1))
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f149,f4]) ).
fof(f149,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a1)
| ~ sP5(X0)
| ~ sP9(max(s(X0),X1)) ),
inference(resolution,[],[f26,f27]) ).
fof(f368195,plain,
( spl10_4
| spl10_10
| ~ spl10_1
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f368193,f44769,f730,f154550,f42496]) ).
fof(f368193,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ sP5(X0)
| sP2(X1) )
| ~ spl10_1
| ~ spl10_7 ),
inference(resolution,[],[f368192,f731]) ).
fof(f368192,plain,
( ! [X0,X1] :
( ~ sP1(max(s(X0),s(X1)))
| ~ eq(f(X0),a1)
| ~ sP5(X0)
| sP2(X1) )
| ~ spl10_7 ),
inference(resolution,[],[f13866,f44770]) ).
fof(f13866,plain,
! [X0,X1] :
( ~ sP9(max(s(X0),s(X1)))
| ~ sP5(X0)
| ~ eq(f(X0),a1)
| ~ sP1(max(s(X0),s(X1)))
| sP2(X1) ),
inference(resolution,[],[f1755,f75]) ).
fof(f352226,plain,
( spl10_6
| spl10_10
| ~ spl10_4
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f352224,f44769,f42496,f154550,f44008]) ).
fof(f352224,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ sP5(X0)
| sP3(X1) )
| ~ spl10_4
| ~ spl10_7 ),
inference(resolution,[],[f352223,f42497]) ).
fof(f352223,plain,
( ! [X0,X1] :
( ~ sP2(max(s(X0),s(X1)))
| ~ eq(f(X0),a1)
| ~ sP5(X0)
| sP3(X1) )
| ~ spl10_7 ),
inference(resolution,[],[f13865,f44770]) ).
fof(f13865,plain,
! [X0,X1] :
( ~ sP9(max(s(X0),s(X1)))
| ~ sP5(X0)
| ~ eq(f(X0),a1)
| ~ sP2(max(s(X0),s(X1)))
| sP3(X1) ),
inference(resolution,[],[f1755,f88]) ).
fof(f338962,plain,
( ~ spl10_7
| ~ spl10_15 ),
inference(avatar_contradiction_clause,[],[f338114]) ).
fof(f338114,plain,
( $false
| ~ spl10_7
| ~ spl10_15 ),
inference(resolution,[],[f337857,f332113]) ).
fof(f332113,plain,
( ! [X0] : sP5(s(X0))
| ~ spl10_15 ),
inference(resolution,[],[f163203,f58]) ).
fof(f58,plain,
! [X0] :
( eq(f(X0),a0)
| sP5(s(X0)) ),
inference(resolution,[],[f52,f4]) ).
fof(f52,plain,
! [X0] :
( ~ eq(f(X0),a1)
| sP5(s(X0)) ),
inference(resolution,[],[f17,f1]) ).
fof(f337857,plain,
( ! [X0] : ~ sP5(X0)
| ~ spl10_7
| ~ spl10_15 ),
inference(resolution,[],[f337774,f44770]) ).
fof(f337774,plain,
( ! [X0] :
( ~ sP9(s(X0))
| ~ sP5(X0) )
| ~ spl10_15 ),
inference(resolution,[],[f336185,f163203]) ).
fof(f336185,plain,
( ! [X0] :
( eq(f(X0),a0)
| ~ sP5(X0)
| ~ sP9(s(X0)) )
| ~ spl10_15 ),
inference(resolution,[],[f332153,f4]) ).
fof(f332153,plain,
( ! [X0] :
( ~ eq(f(X0),a1)
| ~ sP9(s(X0))
| ~ sP5(X0) )
| ~ spl10_15 ),
inference(resolution,[],[f163203,f342]) ).
fof(f332111,plain,
( spl10_15
| spl10_13
| ~ spl10_7
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f331788,f53942,f44769,f160652,f163202]) ).
fof(f160652,plain,
( spl10_13
<=> ! [X0] :
( ~ sP0(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f331788,plain,
( ! [X0,X1] :
( ~ sP5(X0)
| ~ sP0(X0)
| ~ eq(f(X1),a0) )
| ~ spl10_7
| ~ spl10_9 ),
inference(resolution,[],[f331732,f39]) ).
fof(f331732,plain,
( ! [X0,X1] :
( ~ sP0(max(s(X0),X1))
| ~ sP5(X0)
| ~ sP0(X0) )
| ~ spl10_7
| ~ spl10_9 ),
inference(resolution,[],[f330574,f44770]) ).
fof(f330574,plain,
( ! [X0,X1] :
( ~ sP9(max(s(X0),X1))
| ~ sP0(max(s(X0),X1))
| ~ sP5(X0)
| ~ sP0(X0) )
| ~ spl10_9 ),
inference(resolution,[],[f330490,f27]) ).
fof(f330490,plain,
( ! [X0,X1] :
( ~ le(s(X0),X1)
| ~ sP9(X1)
| ~ sP0(X1)
| ~ sP5(X0)
| ~ sP0(X0) )
| ~ spl10_9 ),
inference(resolution,[],[f328819,f53943]) ).
fof(f328819,plain,
( ! [X0,X1] :
( eq(f(X0),a0)
| ~ sP5(X0)
| ~ sP9(X1)
| ~ sP0(X1)
| ~ le(s(X0),X1) )
| ~ spl10_9 ),
inference(resolution,[],[f327010,f4]) ).
fof(f327010,plain,
( ! [X0,X1] :
( ~ eq(f(X1),a1)
| ~ le(s(X1),X0)
| ~ sP5(X1)
| ~ sP9(X0)
| ~ sP0(X0) )
| ~ spl10_9 ),
inference(resolution,[],[f53943,f146]) ).
fof(f146,plain,
! [X0,X1] :
( eq(f(X1),a0)
| ~ le(s(X0),X1)
| ~ sP5(X0)
| ~ sP9(X1)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f26,f4]) ).
fof(f327003,plain,
( spl10_9
| spl10_10
| ~ spl10_7
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f327002,f46929,f44769,f154550,f53942]) ).
fof(f327002,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ eq(f(X1),a0)
| ~ sP0(X1)
| ~ sP5(X0) )
| ~ spl10_7
| ~ spl10_8 ),
inference(resolution,[],[f254204,f46930]) ).
fof(f254204,plain,
( ! [X0,X1] :
( ~ sP4(max(s(X0),s(X1)))
| ~ eq(f(X0),a1)
| ~ eq(f(X1),a0)
| ~ sP0(X1)
| ~ sP5(X0) )
| ~ spl10_7 ),
inference(resolution,[],[f13863,f44770]) ).
fof(f13863,plain,
! [X0,X1] :
( ~ sP9(max(s(X0),s(X1)))
| ~ sP5(X0)
| ~ eq(f(X0),a1)
| ~ eq(f(X1),a0)
| ~ sP0(X1)
| ~ sP4(max(s(X0),s(X1))) ),
inference(resolution,[],[f1755,f139]) ).
fof(f163204,plain,
( spl10_15
| spl10_11
| ~ spl10_13 ),
inference(avatar_split_clause,[],[f163007,f160652,f156029,f163202]) ).
fof(f156029,plain,
( spl10_11
<=> ! [X1] : sP0(s(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f163007,plain,
( ! [X0,X1] :
( sP0(s(X0))
| ~ eq(f(X1),a0) )
| ~ spl10_13 ),
inference(resolution,[],[f160703,f39]) ).
fof(f160703,plain,
( ! [X0,X1] :
( ~ sP0(max(s(X0),X1))
| sP0(s(X0)) )
| ~ spl10_13 ),
inference(resolution,[],[f160653,f193]) ).
fof(f193,plain,
! [X0,X1] :
( sP5(max(s(X0),X1))
| sP0(s(X0)) ),
inference(resolution,[],[f163,f27]) ).
fof(f163,plain,
! [X0,X1] :
( ~ le(s(X1),X0)
| sP5(X0)
| sP0(s(X1)) ),
inference(resolution,[],[f51,f37]) ).
fof(f37,plain,
! [X0] :
( ~ eq(f(X0),a0)
| sP0(s(X0)) ),
inference(resolution,[],[f7,f1]) ).
fof(f160653,plain,
( ! [X0] :
( ~ sP5(X0)
| ~ sP0(X0) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f160652]) ).
fof(f162004,plain,
( ~ spl10_10
| ~ spl10_13
| ~ spl10_14 ),
inference(avatar_contradiction_clause,[],[f161488]) ).
fof(f161488,plain,
( $false
| ~ spl10_10
| ~ spl10_13
| ~ spl10_14 ),
inference(resolution,[],[f161485,f161426]) ).
fof(f161426,plain,
( ! [X1] : sP5(s(X1))
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f161425]) ).
fof(f161425,plain,
( spl10_14
<=> ! [X1] : sP5(s(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f161485,plain,
( ! [X0] : ~ sP5(X0)
| ~ spl10_10
| ~ spl10_13
| ~ spl10_14 ),
inference(resolution,[],[f161432,f154561]) ).
fof(f154561,plain,
( ! [X0] :
( sP0(s(X0))
| ~ sP5(X0) )
| ~ spl10_10 ),
inference(resolution,[],[f154553,f37]) ).
fof(f154553,plain,
( ! [X0] :
( eq(f(X0),a0)
| ~ sP5(X0) )
| ~ spl10_10 ),
inference(resolution,[],[f154551,f4]) ).
fof(f161432,plain,
( ! [X0] : ~ sP0(s(X0))
| ~ spl10_13
| ~ spl10_14 ),
inference(resolution,[],[f161426,f160653]) ).
fof(f161487,plain,
( ~ spl10_11
| ~ spl10_13
| ~ spl10_14 ),
inference(avatar_contradiction_clause,[],[f161483]) ).
fof(f161483,plain,
( $false
| ~ spl10_11
| ~ spl10_13
| ~ spl10_14 ),
inference(resolution,[],[f161432,f156030]) ).
fof(f156030,plain,
( ! [X1] : sP0(s(X1))
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f156029]) ).
fof(f161427,plain,
( spl10_14
| spl10_12
| ~ spl10_13 ),
inference(avatar_split_clause,[],[f161213,f160652,f156621,f161425]) ).
fof(f161213,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a1)
| sP5(s(X1)) )
| ~ spl10_13 ),
inference(resolution,[],[f160702,f519]) ).
fof(f519,plain,
! [X0,X1] :
( sP0(max(X1,s(X0)))
| sP5(s(X0)) ),
inference(resolution,[],[f83,f29]) ).
fof(f83,plain,
! [X0,X1] :
( ~ le(s(X0),X1)
| sP5(s(X0))
| sP0(X1) ),
inference(resolution,[],[f58,f7]) ).
fof(f160702,plain,
( ! [X0,X1] :
( ~ sP0(max(s(X0),X1))
| ~ eq(f(X0),a1) )
| ~ spl10_13 ),
inference(resolution,[],[f160653,f53]) ).
fof(f53,plain,
! [X0,X1] :
( sP5(max(s(X0),X1))
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f17,f27]) ).
fof(f160654,plain,
( spl10_12
| spl10_13
| ~ spl10_8
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f160650,f154550,f46929,f160652,f156621]) ).
fof(f160650,plain,
( ! [X0,X1] :
( ~ sP0(X0)
| ~ sP5(X0)
| ~ eq(f(X1),a1) )
| ~ spl10_8
| ~ spl10_10 ),
inference(resolution,[],[f159846,f46930]) ).
fof(f159846,plain,
( ! [X0,X1] :
( ~ sP4(max(s(X0),s(X1)))
| ~ sP0(X0)
| ~ sP5(X0)
| ~ eq(f(X1),a1) )
| ~ spl10_10 ),
inference(resolution,[],[f158909,f54]) ).
fof(f158909,plain,
( ! [X0,X1] :
( ~ sP5(max(s(X0),X1))
| ~ sP0(X0)
| ~ sP4(max(s(X0),X1))
| ~ sP5(X0) )
| ~ spl10_10 ),
inference(resolution,[],[f158617,f27]) ).
fof(f158617,plain,
( ! [X0,X1] :
( ~ le(s(X0),X1)
| ~ sP5(X0)
| ~ sP0(X0)
| ~ sP4(X1)
| ~ sP5(X1) )
| ~ spl10_10 ),
inference(resolution,[],[f154559,f154553]) ).
fof(f154559,plain,
( ! [X0,X1] :
( ~ eq(f(X1),a0)
| ~ le(s(X0),X1)
| ~ sP5(X0)
| ~ sP0(X0)
| ~ sP4(X1) )
| ~ spl10_10 ),
inference(resolution,[],[f154553,f16]) ).
fof(f158065,plain,
( ~ spl10_6
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f157667]) ).
fof(f157667,plain,
( $false
| ~ spl10_6
| ~ spl10_10
| ~ spl10_12 ),
inference(resolution,[],[f157591,f156760]) ).
fof(f156760,plain,
( ! [X0,X1] : sP0(max(s(X0),X1))
| ~ spl10_12 ),
inference(resolution,[],[f156625,f27]) ).
fof(f156625,plain,
( ! [X0,X1] :
( ~ le(s(X0),X1)
| sP0(X1) )
| ~ spl10_12 ),
inference(resolution,[],[f156624,f7]) ).
fof(f156624,plain,
( ! [X0] : eq(f(X0),a0)
| ~ spl10_12 ),
inference(resolution,[],[f156622,f4]) ).
fof(f157591,plain,
( ! [X0] : ~ sP0(X0)
| ~ spl10_6
| ~ spl10_10
| ~ spl10_12 ),
inference(resolution,[],[f157587,f156755]) ).
fof(f156755,plain,
( ! [X0] : sP4(X0)
| ~ spl10_6
| ~ spl10_12 ),
inference(resolution,[],[f156679,f44009]) ).
fof(f44009,plain,
( ! [X1] : sP3(X1)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f44008]) ).
fof(f156679,plain,
( ! [X0] :
( ~ sP3(s(X0))
| sP4(X0) )
| ~ spl10_12 ),
inference(resolution,[],[f156624,f94]) ).
fof(f157587,plain,
( ! [X0] :
( ~ sP4(s(X0))
| ~ sP0(X0) )
| ~ spl10_10
| ~ spl10_12 ),
inference(duplicate_literal_removal,[],[f157536]) ).
fof(f157536,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ sP4(s(X0))
| ~ sP0(X0)
| ~ sP4(s(X0)) )
| ~ spl10_10
| ~ spl10_12 ),
inference(resolution,[],[f156675,f156687]) ).
fof(f156687,plain,
( ! [X0] :
( sP5(s(X0))
| ~ sP0(X0)
| ~ sP4(s(X0)) )
| ~ spl10_12 ),
inference(resolution,[],[f156624,f5869]) ).
fof(f5869,plain,
! [X0] :
( ~ eq(f(s(X0)),a0)
| sP5(s(X0))
| ~ sP0(X0)
| ~ sP4(s(X0)) ),
inference(resolution,[],[f1802,f1]) ).
fof(f1802,plain,
! [X0,X1] :
( ~ eq(f(X0),a0)
| ~ le(s(X1),X0)
| sP5(X0)
| ~ sP0(X1)
| ~ sP4(X0) ),
inference(factoring,[],[f161]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ eq(f(X2),a0)
| ~ le(s(X1),X2)
| ~ le(s(X1),X0)
| sP5(X0)
| ~ sP0(X1)
| ~ sP4(X2) ),
inference(resolution,[],[f51,f16]) ).
fof(f156675,plain,
( ! [X0] :
( ~ sP5(s(X0))
| ~ sP0(X0)
| ~ sP4(s(X0)) )
| ~ spl10_10
| ~ spl10_12 ),
inference(resolution,[],[f156624,f154608]) ).
fof(f154608,plain,
( ! [X0] :
( ~ eq(f(X0),a0)
| ~ sP5(s(X0))
| ~ sP0(X0)
| ~ sP4(s(X0)) )
| ~ spl10_10 ),
inference(resolution,[],[f154553,f137]) ).
fof(f156623,plain,
( spl10_12
| spl10_8
| ~ spl10_6
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f156619,f154550,f44008,f46929,f156621]) ).
fof(f156619,plain,
( ! [X0,X1] :
( sP4(X0)
| ~ eq(f(X1),a1) )
| ~ spl10_6
| ~ spl10_10 ),
inference(resolution,[],[f155407,f44009]) ).
fof(f155407,plain,
( ! [X0,X1] :
( ~ sP3(max(s(X0),s(X1)))
| sP4(X0)
| ~ eq(f(X1),a1) )
| ~ spl10_10 ),
inference(resolution,[],[f154621,f54]) ).
fof(f154621,plain,
( ! [X0,X1] :
( ~ sP5(max(s(X0),X1))
| ~ sP3(max(s(X0),X1))
| sP4(X0) )
| ~ spl10_10 ),
inference(resolution,[],[f154553,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| ~ sP3(max(s(X0),X1))
| sP4(X0) ),
inference(resolution,[],[f15,f27]) ).
fof(f154552,plain,
( spl10_8
| spl10_10
| ~ spl10_6
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f154548,f44769,f44008,f154550,f46929]) ).
fof(f154548,plain,
( ! [X0,X1] :
( ~ eq(f(X0),a1)
| ~ sP5(X0)
| sP4(X1) )
| ~ spl10_6
| ~ spl10_7 ),
inference(resolution,[],[f154546,f44009]) ).
fof(f154546,plain,
( ! [X0,X1] :
( ~ sP3(max(s(X0),s(X1)))
| ~ eq(f(X0),a1)
| ~ sP5(X0)
| sP4(X1) )
| ~ spl10_7 ),
inference(resolution,[],[f13864,f44770]) ).
fof(f13864,plain,
! [X0,X1] :
( ~ sP9(max(s(X0),s(X1)))
| ~ sP5(X0)
| ~ eq(f(X0),a1)
| ~ sP3(max(s(X0),s(X1)))
| sP4(X1) ),
inference(resolution,[],[f1755,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ eq(f(max(X0,s(X1))),a0)
| ~ sP3(max(X0,s(X1)))
| sP4(X1) ),
inference(resolution,[],[f15,f29]) ).
fof(f66587,plain,
( spl10_8
| spl10_7
| ~ spl10_5
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f66586,f44008,f43974,f44769,f46929]) ).
fof(f66586,plain,
( ! [X0,X1] :
( sP9(X0)
| sP4(X1) )
| ~ spl10_5
| ~ spl10_6 ),
inference(resolution,[],[f66489,f44009]) ).
fof(f66489,plain,
( ! [X0,X1] :
( ~ sP3(max(s(X0),s(X1)))
| sP9(X0)
| sP4(X1) )
| ~ spl10_5 ),
inference(resolution,[],[f5771,f43975]) ).
fof(f5771,plain,
! [X0,X1] :
( ~ sP8(max(s(X0),s(X1)))
| sP9(X0)
| ~ sP3(max(s(X0),s(X1)))
| sP4(X1) ),
inference(resolution,[],[f870,f96]) ).
fof(f55156,plain,
( spl10_8
| spl10_5
| ~ spl10_3
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f55155,f44008,f5636,f43974,f46929]) ).
fof(f55155,plain,
( ! [X0,X1] :
( sP8(X0)
| sP4(X1) )
| ~ spl10_3
| ~ spl10_6 ),
inference(resolution,[],[f55127,f44009]) ).
fof(f55127,plain,
( ! [X0,X1] :
( ~ sP3(max(s(X0),s(X1)))
| sP8(X0)
| sP4(X1) )
| ~ spl10_3 ),
inference(resolution,[],[f5637,f5686]) ).
fof(f5686,plain,
! [X0,X1] :
( ~ sP7(max(s(X0),s(X1)))
| sP8(X0)
| ~ sP3(max(s(X0),s(X1)))
| sP4(X1) ),
inference(resolution,[],[f866,f96]) ).
fof(f55114,plain,
( spl10_8
| spl10_3
| ~ spl10_2
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f55113,f44008,f733,f5636,f46929]) ).
fof(f55113,plain,
( ! [X0,X1] :
( sP7(X0)
| sP4(X1) )
| ~ spl10_2
| ~ spl10_6 ),
inference(resolution,[],[f55085,f44009]) ).
fof(f55085,plain,
( ! [X0,X1] :
( ~ sP3(max(s(X0),s(X1)))
| sP7(X0)
| sP4(X1) )
| ~ spl10_2 ),
inference(resolution,[],[f734,f5603]) ).
fof(f5603,plain,
! [X0,X1] :
( ~ sP6(max(s(X0),s(X1)))
| sP7(X0)
| ~ sP3(max(s(X0),s(X1)))
| sP4(X1) ),
inference(resolution,[],[f864,f96]) ).
fof(f55076,plain,
( spl10_2
| spl10_2
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f54732,f53942,f733,f733]) ).
fof(f54732,plain,
( ! [X0,X1] :
( sP6(X0)
| sP6(X1) )
| ~ spl10_9 ),
inference(resolution,[],[f54110,f565]) ).
fof(f565,plain,
! [X0,X1] :
( sP0(max(X1,s(s(X0))))
| sP6(X0) ),
inference(resolution,[],[f107,f29]) ).
fof(f107,plain,
! [X0,X1] :
( ~ le(s(s(X0)),X1)
| sP6(X0)
| sP0(X1) ),
inference(resolution,[],[f72,f7]) ).
fof(f72,plain,
! [X0] :
( eq(f(s(X0)),a0)
| sP6(X0) ),
inference(resolution,[],[f65,f4]) ).
fof(f65,plain,
! [X0] :
( ~ eq(f(s(X0)),a1)
| sP6(X0) ),
inference(resolution,[],[f19,f1]) ).
fof(f54110,plain,
( ! [X0,X1] :
( ~ sP0(max(s(X0),X1))
| sP6(X0) )
| ~ spl10_9 ),
inference(resolution,[],[f53943,f178]) ).
fof(f178,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a0)
| sP6(X0) ),
inference(resolution,[],[f66,f4]) ).
fof(f66,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a1)
| sP6(X0) ),
inference(resolution,[],[f19,f27]) ).
fof(f53944,plain,
( spl10_2
| spl10_9
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f53811,f46929,f53942,f733]) ).
fof(f53811,plain,
( ! [X0,X1] :
( ~ sP0(X0)
| ~ eq(f(X0),a0)
| sP6(X1) )
| ~ spl10_8 ),
inference(resolution,[],[f1745,f46930]) ).
fof(f1745,plain,
! [X0,X1] :
( ~ sP4(max(s(X1),s(X0)))
| ~ sP0(X0)
| ~ eq(f(X0),a0)
| sP6(X1) ),
inference(resolution,[],[f139,f178]) ).
fof(f46931,plain,
( spl10_2
| spl10_8
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f46927,f44008,f46929,f733]) ).
fof(f46927,plain,
( ! [X0,X1] :
( sP4(X0)
| sP6(X1) )
| ~ spl10_6 ),
inference(resolution,[],[f854,f44009]) ).
fof(f854,plain,
! [X0,X1] :
( ~ sP3(max(s(X0),s(X1)))
| sP4(X1)
| sP6(X0) ),
inference(resolution,[],[f96,f178]) ).
fof(f46656,plain,
( spl10_2
| spl10_6
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f46655,f42496,f44008,f733]) ).
fof(f46655,plain,
( ! [X0,X1] :
( sP3(X0)
| sP6(X1) )
| ~ spl10_4 ),
inference(resolution,[],[f834,f42497]) ).
fof(f834,plain,
! [X0,X1] :
( ~ sP2(max(s(X0),s(X1)))
| sP3(X1)
| sP6(X0) ),
inference(resolution,[],[f88,f178]) ).
fof(f46596,plain,
( spl10_2
| spl10_4
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f46595,f730,f42496,f733]) ).
fof(f46595,plain,
( ! [X0,X1] :
( sP2(X0)
| sP6(X1) )
| ~ spl10_1 ),
inference(resolution,[],[f814,f731]) ).
fof(f814,plain,
! [X0,X1] :
( ~ sP1(max(s(X0),s(X1)))
| sP2(X1)
| sP6(X0) ),
inference(resolution,[],[f75,f178]) ).
fof(f44771,plain,
( spl10_1
| spl10_7
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f44766,f43974,f44769,f730]) ).
fof(f44766,plain,
( ! [X0,X1] :
( sP9(X0)
| sP1(X1) )
| ~ spl10_5 ),
inference(resolution,[],[f5774,f43975]) ).
fof(f5774,plain,
! [X0,X1] :
( ~ sP8(max(s(X0),s(X1)))
| sP9(X0)
| sP1(X1) ),
inference(resolution,[],[f870,f47]) ).
fof(f44418,plain,
( spl10_1
| spl10_5
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f44416,f5636,f43974,f730]) ).
fof(f44416,plain,
( ! [X0,X1] :
( sP8(X0)
| sP1(X1) )
| ~ spl10_3 ),
inference(resolution,[],[f5689,f5637]) ).
fof(f5689,plain,
! [X0,X1] :
( ~ sP7(max(s(X0),s(X1)))
| sP8(X0)
| sP1(X1) ),
inference(resolution,[],[f866,f47]) ).
fof(f44010,plain,
( spl10_6
| spl10_5
| ~ spl10_3
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f43984,f42496,f5636,f43974,f44008]) ).
fof(f43984,plain,
( ! [X0,X1] :
( sP8(X0)
| sP3(X1) )
| ~ spl10_3
| ~ spl10_4 ),
inference(resolution,[],[f42497,f43707]) ).
fof(f43707,plain,
( ! [X0,X1] :
( ~ sP2(max(s(X0),s(X1)))
| sP8(X0)
| sP3(X1) )
| ~ spl10_3 ),
inference(resolution,[],[f5687,f5637]) ).
fof(f5687,plain,
! [X0,X1] :
( ~ sP7(max(s(X0),s(X1)))
| sP8(X0)
| ~ sP2(max(s(X0),s(X1)))
| sP3(X1) ),
inference(resolution,[],[f866,f88]) ).
fof(f43976,plain,
( spl10_4
| spl10_5
| ~ spl10_1
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f43971,f5636,f730,f43974,f42496]) ).
fof(f43971,plain,
( ! [X0,X1] :
( sP8(X0)
| sP2(X1) )
| ~ spl10_1
| ~ spl10_3 ),
inference(resolution,[],[f43838,f731]) ).
fof(f43838,plain,
( ! [X0,X1] :
( ~ sP1(max(s(X0),s(X1)))
| sP8(X0)
| sP2(X1) )
| ~ spl10_3 ),
inference(resolution,[],[f5688,f5637]) ).
fof(f5688,plain,
! [X0,X1] :
( ~ sP7(max(s(X0),s(X1)))
| sP8(X0)
| ~ sP1(max(s(X0),s(X1)))
| sP2(X1) ),
inference(resolution,[],[f866,f75]) ).
fof(f42498,plain,
( spl10_4
| spl10_3
| ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f42493,f733,f730,f5636,f42496]) ).
fof(f42493,plain,
( ! [X0,X1] :
( sP7(X0)
| sP2(X1) )
| ~ spl10_1
| ~ spl10_2 ),
inference(resolution,[],[f42489,f731]) ).
fof(f42489,plain,
( ! [X0,X1] :
( ~ sP1(max(s(X0),s(X1)))
| sP7(X0)
| sP2(X1) )
| ~ spl10_2 ),
inference(resolution,[],[f5605,f734]) ).
fof(f5605,plain,
! [X0,X1] :
( ~ sP6(max(s(X0),s(X1)))
| sP7(X0)
| ~ sP1(max(s(X0),s(X1)))
| sP2(X1) ),
inference(resolution,[],[f864,f75]) ).
fof(f5638,plain,
( spl10_1
| spl10_3
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f5633,f733,f5636,f730]) ).
fof(f5633,plain,
( ! [X0,X1] :
( sP7(X0)
| sP1(X1) )
| ~ spl10_2 ),
inference(resolution,[],[f5606,f734]) ).
fof(f5606,plain,
! [X0,X1] :
( ~ sP6(max(s(X0),s(X1)))
| sP7(X0)
| sP1(X1) ),
inference(resolution,[],[f864,f47]) ).
fof(f735,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f718,f733,f730]) ).
fof(f718,plain,
! [X0,X1] :
( sP6(X0)
| sP1(X1) ),
inference(resolution,[],[f178,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO615-1 : TPTP v8.1.2. Released v7.1.0.
% 0.10/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 01:24:25 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (14261)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (14263)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32 % (14262)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32 % (14267)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32 % (14266)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32 % (14265)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32 % (14268)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32 % (14264)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.32 Detected minimum model sizes of [1,1,1]
% 0.15/0.32 Detected maximum model sizes of [max,max,2]
% 0.15/0.32 TRYING [1,1,1]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2,1,1]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 Detected minimum model sizes of [1,1,1]
% 0.15/0.32 Detected maximum model sizes of [max,max,2]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [1,1,1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [2,1,1]
% 0.15/0.32 TRYING [3,1,1]
% 0.15/0.32 TRYING [3,1,1]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 TRYING [3]
% 0.15/0.33 TRYING [2,2,1]
% 0.15/0.33 TRYING [2,2,1]
% 0.15/0.33 TRYING [2,1,2]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [2,1,2]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [3,1,2]
% 0.15/0.33 TRYING [3,1,2]
% 0.15/0.33 TRYING [2,2,2]
% 0.15/0.33 TRYING [2,2,2]
% 0.15/0.33 TRYING [3,2,1]
% 0.15/0.34 TRYING [3,2,1]
% 0.15/0.34 TRYING [3,2,2]
% 0.15/0.34 TRYING [3,2,2]
% 0.15/0.34 TRYING [5]
% 0.15/0.34 TRYING [4,1,1]
% 0.15/0.34 TRYING [4,1,1]
% 0.15/0.35 TRYING [4,1,2]
% 0.15/0.35 TRYING [4,1,2]
% 0.15/0.35 TRYING [4,2,1]
% 0.15/0.35 TRYING [4,2,1]
% 0.15/0.35 TRYING [3,3,1]
% 0.15/0.35 TRYING [3,3,1]
% 0.15/0.35 TRYING [4,2,2]
% 0.15/0.36 TRYING [4,2,2]
% 0.15/0.36 TRYING [5]
% 0.15/0.36 TRYING [3,3,2]
% 0.15/0.37 TRYING [4,3,1]
% 0.15/0.37 TRYING [4,3,2]
% 0.15/0.37 TRYING [3,3,2]
% 0.15/0.38 TRYING [4,3,1]
% 0.15/0.38 TRYING [4,3,2]
% 0.15/0.38 TRYING [6]
% 0.15/0.38 TRYING [5,1,1]
% 0.15/0.39 TRYING [5,1,2]
% 0.15/0.40 TRYING [5,2,1]
% 0.15/0.40 TRYING [5,1,1]
% 0.15/0.41 TRYING [5,2,2]
% 0.15/0.41 TRYING [5,1,2]
% 0.15/0.41 TRYING [6]
% 0.15/0.42 TRYING [5,2,1]
% 0.15/0.42 TRYING [7]
% 0.15/0.42 TRYING [5,2,2]
% 0.15/0.43 TRYING [5,3,1]
% 0.15/0.44 TRYING [4,4,1]
% 0.15/0.44 TRYING [5,3,2]
% 0.15/0.46 TRYING [4,4,2]
% 0.15/0.47 TRYING [5,4,1]
% 0.15/0.48 TRYING [5,3,1]
% 0.15/0.48 TRYING [5,4,2]
% 0.15/0.48 TRYING [4,4,1]
% 0.15/0.49 TRYING [5,3,2]
% 0.15/0.51 TRYING [7]
% 0.15/0.51 TRYING [4,4,2]
% 0.15/0.51 TRYING [6,1,1]
% 0.15/0.53 TRYING [6,1,2]
% 0.15/0.54 TRYING [6,2,1]
% 0.15/0.54 TRYING [5,4,1]
% 0.15/0.55 TRYING [6,2,2]
% 0.15/0.55 TRYING [5,4,2]
% 0.15/0.57 TRYING [6,3,1]
% 0.15/0.58 TRYING [6,3,2]
% 2.23/0.62 TRYING [6,1,1]
% 2.23/0.62 TRYING [8]
% 2.33/0.63 TRYING [6,1,2]
% 2.33/0.63 TRYING [8]
% 2.33/0.64 TRYING [6,2,1]
% 2.33/0.65 TRYING [6,2,2]
% 2.33/0.66 TRYING [6,4,1]
% 2.33/0.67 TRYING [5,5,1]
% 2.33/0.68 TRYING [6,4,2]
% 2.33/0.71 TRYING [6,3,1]
% 2.94/0.72 TRYING [6,3,2]
% 2.94/0.78 TRYING [5,5,2]
% 3.41/0.80 TRYING [6,5,1]
% 3.41/0.82 TRYING [6,5,2]
% 3.41/0.83 TRYING [6,4,1]
% 3.41/0.84 TRYING [5,5,1]
% 3.41/0.85 TRYING [6,4,2]
% 4.00/0.87 TRYING [7,1,1]
% 4.10/0.89 TRYING [7,1,2]
% 4.10/0.91 TRYING [7,2,1]
% 4.31/0.92 TRYING [7,2,2]
% 4.31/0.92 TRYING [5,5,2]
% 4.31/0.92 TRYING [9]
% 4.43/0.98 TRYING [9]
% 4.43/0.99 TRYING [6,5,1]
% 4.43/0.99 TRYING [6,5,2]
% 5.04/1.04 TRYING [7,3,1]
% 5.04/1.05 TRYING [7,3,2]
% 5.52/1.12 TRYING [7,1,1]
% 5.52/1.14 TRYING [7,1,2]
% 5.52/1.15 TRYING [7,4,1]
% 5.52/1.16 TRYING [7,2,1]
% 5.52/1.16 TRYING [7,4,2]
% 5.52/1.17 TRYING [7,2,2]
% 6.54/1.25 TRYING [7,3,1]
% 6.54/1.27 TRYING [7,3,2]
% 6.54/1.27 TRYING [7,5,1]
% 6.54/1.29 TRYING [6,6,1]
% 6.54/1.30 TRYING [7,5,2]
% 7.21/1.39 TRYING [7,4,1]
% 7.68/1.40 TRYING [7,4,2]
% 8.62/1.55 TRYING [10]
% 8.62/1.56 TRYING [6,6,2]
% 8.62/1.62 TRYING [7,5,1]
% 9.31/1.63 TRYING [6,6,1]
% 9.31/1.64 TRYING [7,6,1]
% 9.31/1.65 TRYING [7,5,2]
% 9.31/1.65 TRYING [7,6,2]
% 9.77/1.76 TRYING [8,1,1]
% 10.37/1.79 TRYING [8,1,2]
% 10.37/1.79 TRYING [6,6,2]
% 10.37/1.81 TRYING [8,2,1]
% 10.62/1.83 TRYING [8,2,2]
% 10.70/1.83 TRYING [10]
% 10.70/1.86 TRYING [7,6,1]
% 10.70/1.87 TRYING [7,6,2]
% 11.74/1.99 TRYING [8,3,1]
% 11.74/2.01 TRYING [8,3,2]
% 12.80/2.20 TRYING [8,1,1]
% 13.39/2.22 TRYING [8,1,2]
% 13.39/2.24 TRYING [8,2,1]
% 13.39/2.27 TRYING [8,4,1]
% 13.39/2.27 TRYING [8,2,2]
% 13.39/2.28 TRYING [8,4,2]
% 14.81/2.44 TRYING [8,3,1]
% 14.81/2.45 TRYING [8,5,1]
% 14.81/2.47 TRYING [8,5,2]
% 14.81/2.47 TRYING [8,3,2]
% 16.64/2.69 TRYING [8,6,1]
% 16.64/2.71 TRYING [7,7,1]
% 16.64/2.72 TRYING [8,6,2]
% 16.64/2.77 TRYING [11]
% 18.29/2.93 TRYING [7,7,2]
% 18.96/3.06 TRYING [8,7,1]
% 18.96/3.08 TRYING [8,7,2]
% 19.54/3.14 TRYING [8,4,1]
% 19.54/3.16 TRYING [8,4,2]
% 21.66/3.49 TRYING [8,5,1]
% 22.38/3.52 TRYING [8,5,2]
% 22.38/3.60 TRYING [9,1,1]
% 23.20/3.64 TRYING [9,1,2]
% 23.20/3.67 TRYING [9,2,1]
% 23.88/3.71 TRYING [9,2,2]
% 25.87/4.01 TRYING [8,6,1]
% 25.96/4.03 TRYING [7,7,1]
% 25.96/4.05 TRYING [11]
% 25.96/4.05 TRYING [8,6,2]
% 25.96/4.08 TRYING [9,3,1]
% 25.96/4.10 TRYING [9,3,2]
% 28.17/4.39 TRYING [7,7,2]
% 29.22/4.48 TRYING [8,7,1]
% 29.22/4.51 TRYING [8,7,2]
% 30.85/4.75 TRYING [9,1,1]
% 30.85/4.78 TRYING [9,1,2]
% 31.35/4.81 TRYING [9,2,1]
% 31.35/4.88 TRYING [9,2,2]
% 37.12/5.64 TRYING [9,4,1]
% 37.12/5.66 TRYING [9,4,2]
% 40.33/6.07 TRYING [9,5,1]
% 40.54/6.10 TRYING [9,5,2]
% 42.84/6.46 TRYING [9,6,1]
% 42.84/6.49 TRYING [9,6,2]
% 45.51/6.81 TRYING [9,7,1]
% 45.51/6.84 TRYING [8,8,1]
% 45.51/6.86 TRYING [9,7,2]
% 49.53/7.40 TRYING [8,8,2]
% 50.42/7.52 TRYING [9,3,1]
% 50.42/7.54 TRYING [9,3,2]
% 52.31/7.78 TRYING [9,8,1]
% 52.31/7.81 TRYING [9,8,2]
% 53.12/7.91 TRYING [9,4,1]
% 53.12/7.94 TRYING [9,4,2]
% 53.56/8.01 TRYING [12]
% 54.22/8.09 TRYING [12]
% 55.20/8.25 TRYING [10,1,1]
% 55.64/8.29 TRYING [10,1,2]
% 55.64/8.34 TRYING [10,2,1]
% 56.43/8.39 TRYING [10,2,2]
% 57.87/8.60 TRYING [9,5,1]
% 57.87/8.64 TRYING [9,5,2]
% 64.08/9.48 TRYING [9,6,1]
% 64.71/9.58 TRYING [9,6,2]
% 64.92/9.63 TRYING [10,3,1]
% 65.16/9.65 TRYING [10,3,2]
% 69.80/10.35 TRYING [9,7,1]
% 70.40/10.41 TRYING [8,8,1]
% 70.40/10.44 TRYING [9,7,2]
% 71.95/10.61 TRYING [10,4,1]
% 71.95/10.66 TRYING [10,4,2]
% 76.26/11.22 TRYING [8,8,2]
% 78.87/11.65 TRYING [9,8,1]
% 79.52/11.70 TRYING [9,8,2]
% 80.47/11.86 TRYING [10,5,1]
% 80.87/11.89 TRYING [10,5,2]
% 85.00/12.47 TRYING [10,1,1]
% 85.00/12.49 TRYING [10,1,2]
% 85.00/12.52 TRYING [10,2,1]
% 85.62/12.58 TRYING [10,2,2]
% 87.96/12.90 TRYING [10,6,1]
% 88.19/12.93 TRYING [10,6,2]
% 91.36/13.40 TRYING [10,3,1]
% 92.04/13.49 TRYING [10,3,2]
% 101.55/14.84 TRYING [10,4,1]
% 101.55/14.85 TRYING [10,7,1]
% 101.55/14.87 TRYING [10,7,2]
% 101.92/14.89 TRYING [10,4,2]
% 107.23/15.70 TRYING [10,8,1]
% 107.23/15.72 TRYING [9,9,1]
% 107.74/15.75 TRYING [10,8,2]
% 111.32/16.24 TRYING [10,5,1]
% 111.32/16.29 TRYING [10,5,2]
% 118.20/17.22 TRYING [10,6,1]
% 118.71/17.29 TRYING [10,6,2]
% 123.41/17.97 TRYING [9,9,2]
% 125.56/18.28 TRYING [10,7,1]
% 125.84/18.31 TRYING [10,7,2]
% 127.61/18.57 TRYING [10,9,1]
% 127.61/18.59 TRYING [10,9,2]
% 131.12/19.15 TRYING [10,8,1]
% 131.69/19.18 TRYING [9,9,1]
% 131.92/19.21 TRYING [10,8,2]
% 138.47/20.12 TRYING [9,9,2]
% 141.16/20.58 TRYING [11,1,1]
% 141.78/20.61 TRYING [11,1,2]
% 141.78/20.65 TRYING [11,2,1]
% 142.47/20.68 TRYING [11,2,2]
% 142.70/20.75 TRYING [10,9,1]
% 142.70/20.79 TRYING [10,9,2]
% 149.82/21.79 TRYING [11,1,1]
% 149.82/21.82 TRYING [11,1,2]
% 150.52/21.85 TRYING [11,2,1]
% 150.52/21.89 TRYING [11,2,2]
% 151.81/22.03 % (14267)Time limit reached!
% 151.81/22.03 % (14267)------------------------------
% 151.81/22.03 % (14267)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 151.81/22.03 % (14267)Termination reason: Time limit
% 151.81/22.03 % (14267)Termination phase: Saturation
% 151.81/22.03
% 151.81/22.03 % (14267)Memory used [KB]: 233817
% 151.81/22.03 % (14267)Time elapsed: 21.700 s
% 151.81/22.03 % (14267)Instructions burned: 78726 (million)
% 151.81/22.03 % (14267)------------------------------
% 151.81/22.03 % (14267)------------------------------
% 152.03/22.05 % (14518)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 152.03/22.06 Detected minimum model sizes of [1,1,1]
% 152.03/22.06 Detected maximum model sizes of [max,max,2]
% 152.03/22.06 TRYING [1,1,1]
% 152.03/22.06 TRYING [2,1,1]
% 152.03/22.06 TRYING [3,1,1]
% 152.03/22.06 TRYING [2,2,1]
% 152.03/22.06 TRYING [2,1,2]
% 152.03/22.06 TRYING [3,1,2]
% 152.03/22.06 TRYING [2,2,2]
% 152.03/22.06 TRYING [3,2,1]
% 152.03/22.06 TRYING [3,2,2]
% 152.03/22.07 TRYING [4,1,1]
% 152.03/22.07 TRYING [4,1,2]
% 152.03/22.07 TRYING [4,2,1]
% 152.03/22.07 TRYING [3,3,1]
% 152.03/22.08 TRYING [4,2,2]
% 152.03/22.08 TRYING [3,3,2]
% 152.03/22.09 TRYING [4,3,1]
% 152.03/22.09 TRYING [4,3,2]
% 152.03/22.10 TRYING [5,1,1]
% 152.03/22.11 TRYING [5,1,2]
% 152.03/22.11 TRYING [5,2,1]
% 152.03/22.11 TRYING [5,2,2]
% 152.55/22.13 TRYING [5,3,1]
% 152.55/22.13 TRYING [4,4,1]
% 152.55/22.14 TRYING [5,3,2]
% 152.55/22.15 TRYING [4,4,2]
% 152.55/22.17 TRYING [5,4,1]
% 152.55/22.17 TRYING [5,4,2]
% 152.87/22.19 TRYING [6,1,1]
% 152.87/22.20 TRYING [6,1,2]
% 152.87/22.21 TRYING [6,2,1]
% 152.87/22.21 TRYING [6,2,2]
% 152.87/22.24 TRYING [6,3,1]
% 152.87/22.24 TRYING [6,3,2]
% 153.36/22.31 TRYING [6,4,1]
% 153.66/22.32 TRYING [5,5,1]
% 153.66/22.32 TRYING [6,4,2]
% 153.84/22.38 TRYING [5,5,2]
% 153.84/22.39 TRYING [6,5,1]
% 153.84/22.40 TRYING [6,5,2]
% 154.35/22.44 TRYING [7,1,1]
% 154.35/22.45 TRYING [7,1,2]
% 154.35/22.47 TRYING [7,2,1]
% 154.35/22.47 TRYING [7,2,2]
% 154.67/22.51 TRYING [7,3,1]
% 154.67/22.53 TRYING [7,3,2]
% 155.68/22.57 TRYING [7,4,1]
% 155.68/22.58 TRYING [7,4,2]
% 156.15/22.64 TRYING [7,5,1]
% 156.25/22.65 TRYING [6,6,1]
% 156.25/22.65 TRYING [7,5,2]
% 156.74/22.75 TRYING [6,6,2]
% 157.10/22.79 TRYING [7,6,1]
% 157.10/22.80 TRYING [7,6,2]
% 157.94/22.92 TRYING [8,1,1]
% 158.24/22.93 TRYING [8,1,2]
% 158.36/22.95 TRYING [8,2,1]
% 158.36/22.96 TRYING [8,2,2]
% 159.30/23.10 TRYING [8,3,1]
% 159.30/23.12 TRYING [8,3,2]
% 160.36/23.32 TRYING [8,4,1]
% 161.05/23.33 TRYING [8,4,2]
% 162.47/23.54 TRYING [8,5,1]
% 162.47/23.55 TRYING [8,5,2]
% 163.73/23.74 TRYING [8,6,1]
% 163.73/23.75 TRYING [7,7,1]
% 163.73/23.76 TRYING [8,6,2]
% 165.74/24.08 TRYING [7,7,2]
% 166.57/24.21 TRYING [8,7,1]
% 167.34/24.23 TRYING [8,7,2]
% 167.97/24.37 % (14264)First to succeed.
% 167.97/24.39 % (14264)Refutation found. Thanks to Tanya!
% 167.97/24.39 % SZS status Unsatisfiable for theBenchmark
% 167.97/24.39 % SZS output start Proof for theBenchmark
% See solution above
% 167.97/24.39 % (14264)------------------------------
% 167.97/24.39 % (14264)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 167.97/24.39 % (14264)Termination reason: Refutation
% 167.97/24.39
% 167.97/24.39 % (14264)Memory used [KB]: 221437
% 167.97/24.39 % (14264)Time elapsed: 24.049 s
% 167.97/24.39 % (14264)Instructions burned: 78870 (million)
% 167.97/24.39 % (14264)------------------------------
% 167.97/24.39 % (14264)------------------------------
% 167.97/24.39 % (14261)Success in time 24.068 s
%------------------------------------------------------------------------------