TSTP Solution File: SYO666-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO666-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:51:55 EDT 2022
% Result : Unsatisfiable 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 44
% Syntax : Number of formulae : 192 ( 3 unt; 0 def)
% Number of atoms : 773 ( 0 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 1151 ( 570 ~; 547 |; 0 &)
% ( 34 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 38 ( 37 usr; 27 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 135 ( 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f271,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f48,f54,f70,f84,f100,f126,f144,f148,f164,f169,f175,f190,f200,f210,f215,f220,f223,f229,f237,f240,f242,f245,f247,f254,f256,f261,f263,f270]) ).
fof(f270,plain,
( ~ spl8_2
| ~ spl8_3
| ~ spl8_8
| ~ spl8_10
| ~ spl8_20 ),
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f269,plain,
( $false
| ~ spl8_2
| ~ spl8_3
| ~ spl8_8
| ~ spl8_10
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f268,f168]) ).
fof(f168,plain,
( iLEQ(suc(z),suc(z))
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl8_20
<=> iLEQ(suc(z),suc(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
fof(f268,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ spl8_2
| ~ spl8_3
| ~ spl8_8
| ~ spl8_10
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f267,f264]) ).
fof(f264,plain,
( sP3(z)
| ~ spl8_8
| ~ spl8_20 ),
inference(resolution,[],[f79,f168]) ).
fof(f79,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(z))
| sP3(X0) )
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl8_8
<=> ! [X0] :
( ~ iLEQ(suc(X0),suc(z))
| sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f267,plain,
( ~ sP3(z)
| ~ iLEQ(suc(z),suc(z))
| ~ spl8_2
| ~ spl8_3
| ~ spl8_10 ),
inference(subsumption_resolution,[],[f266,f38]) ).
fof(f38,plain,
( 'E'(s('0'),f(z))
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl8_2
<=> 'E'(s('0'),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f266,plain,
( ~ 'E'(s('0'),f(z))
| ~ sP3(z)
| ~ iLEQ(suc(z),suc(z))
| ~ spl8_3
| ~ spl8_10 ),
inference(resolution,[],[f93,f47]) ).
fof(f47,plain,
( 'E'(s('0'),f(suc(z)))
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl8_3
<=> 'E'(s('0'),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f93,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ sP3(X0)
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl8_10
<=> ! [X0] :
( ~ sP3(X0)
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f263,plain,
( ~ spl8_7
| spl8_8
| ~ spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f262,f45,f36,f78,f74]) ).
fof(f74,plain,
( spl8_7
<=> sP2(z) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f262,plain,
( ! [X1] :
( ~ iLEQ(suc(X1),suc(z))
| sP3(X1)
| ~ sP2(z) )
| ~ spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f154,f38]) ).
fof(f154,plain,
( ! [X1] :
( ~ sP2(z)
| ~ iLEQ(suc(X1),suc(z))
| ~ 'E'(s('0'),f(z))
| sP3(X1) )
| ~ spl8_3 ),
inference(resolution,[],[f47,f17]) ).
fof(f17,plain,
! [X11,X12] :
( ~ 'E'(s('0'),f(suc(X12)))
| ~ iLEQ(suc(X11),suc(X12))
| ~ sP2(X12)
| ~ 'E'(s('0'),f(X12))
| sP3(X11) ),
inference(cnf_transformation,[],[f17_D]) ).
fof(f17_D,plain,
! [X11] :
( ! [X12] :
( ~ 'E'(s('0'),f(suc(X12)))
| ~ iLEQ(suc(X11),suc(X12))
| ~ sP2(X12)
| ~ 'E'(s('0'),f(X12)) )
<=> ~ sP3(X11) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f261,plain,
( spl8_7
| ~ spl8_20
| ~ spl8_21 ),
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f260,plain,
( $false
| spl8_7
| ~ spl8_20
| ~ spl8_21 ),
inference(subsumption_resolution,[],[f259,f76]) ).
fof(f76,plain,
( ~ sP2(z)
| spl8_7 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f259,plain,
( sP2(z)
| ~ spl8_20
| ~ spl8_21 ),
inference(resolution,[],[f174,f168]) ).
fof(f174,plain,
( ! [X3] :
( ~ iLEQ(suc(X3),suc(z))
| sP2(X3) )
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl8_21
<=> ! [X3] :
( ~ iLEQ(suc(X3),suc(z))
| sP2(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
fof(f256,plain,
( ~ spl8_2
| spl8_10
| ~ spl8_3
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f255,f88,f45,f92,f36]) ).
fof(f88,plain,
( spl8_9
<=> sP1(z) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
fof(f255,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ sP3(X0)
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl8_3
| ~ spl8_9 ),
inference(subsumption_resolution,[],[f153,f89]) ).
fof(f89,plain,
( sP1(z)
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f153,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ sP3(X0)
| ~ iLEQ(suc(z),suc(X0))
| ~ sP1(z)
| ~ 'E'(s('0'),f(z)) )
| ~ spl8_3 ),
inference(resolution,[],[f47,f18]) ).
fof(f18,plain,
! [X11,X13] :
( ~ 'E'(s('0'),f(suc(X13)))
| ~ 'E'(s('0'),f(suc(X11)))
| ~ 'E'(s('0'),f(X13))
| ~ sP3(X11)
| ~ iLEQ(suc(X13),suc(X11))
| ~ sP1(X13)
| ~ 'E'(s('0'),f(X11)) ),
inference(general_splitting,[],[f16,f17_D]) ).
fof(f16,plain,
! [X11,X12,X13] :
( ~ 'E'(s('0'),f(suc(X11)))
| ~ 'E'(s('0'),f(X11))
| ~ iLEQ(suc(X13),suc(X11))
| ~ 'E'(s('0'),f(X13))
| ~ 'E'(s('0'),f(suc(X13)))
| ~ 'E'(s('0'),f(suc(X12)))
| ~ iLEQ(suc(X11),suc(X12))
| ~ 'E'(s('0'),f(X12))
| ~ sP1(X13)
| ~ sP2(X12) ),
inference(general_splitting,[],[f14,f15_D]) ).
fof(f15,plain,
! [X14,X12] :
( ~ 'E'(s('0'),f(suc(X14)))
| ~ 'E'(s('0'),f(X14))
| ~ iLEQ(suc(X12),suc(X14))
| sP2(X12) ),
inference(cnf_transformation,[],[f15_D]) ).
fof(f15_D,plain,
! [X12] :
( ! [X14] :
( ~ 'E'(s('0'),f(suc(X14)))
| ~ 'E'(s('0'),f(X14))
| ~ iLEQ(suc(X12),suc(X14)) )
<=> ~ sP2(X12) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
! [X11,X14,X12,X13] :
( ~ 'E'(s('0'),f(suc(X11)))
| ~ 'E'(s('0'),f(X11))
| ~ iLEQ(suc(X13),suc(X11))
| ~ 'E'(s('0'),f(X13))
| ~ iLEQ(suc(X12),suc(X14))
| ~ 'E'(s('0'),f(suc(X13)))
| ~ 'E'(s('0'),f(suc(X12)))
| ~ 'E'(s('0'),f(X14))
| ~ iLEQ(suc(X11),suc(X12))
| ~ 'E'(s('0'),f(X12))
| ~ 'E'(s('0'),f(suc(X14)))
| ~ sP1(X13) ),
inference(general_splitting,[],[f12,f13_D]) ).
fof(f13,plain,
! [X10,X13] :
( ~ 'E'(s('0'),f(suc(X10)))
| ~ sP0(X10)
| ~ 'E'(s('0'),f(X10))
| ~ iLEQ(suc(X10),suc(X13))
| sP1(X13) ),
inference(cnf_transformation,[],[f13_D]) ).
fof(f13_D,plain,
! [X13] :
( ! [X10] :
( ~ 'E'(s('0'),f(suc(X10)))
| ~ sP0(X10)
| ~ 'E'(s('0'),f(X10))
| ~ iLEQ(suc(X10),suc(X13)) )
<=> ~ sP1(X13) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
! [X10,X11,X14,X12,X13] :
( ~ 'E'(s('0'),f(X10))
| ~ 'E'(s('0'),f(suc(X11)))
| ~ 'E'(s('0'),f(X11))
| ~ iLEQ(suc(X13),suc(X11))
| ~ 'E'(s('0'),f(X13))
| ~ iLEQ(suc(X12),suc(X14))
| ~ 'E'(s('0'),f(suc(X13)))
| ~ iLEQ(suc(X10),suc(X13))
| ~ 'E'(s('0'),f(suc(X10)))
| ~ 'E'(s('0'),f(suc(X12)))
| ~ 'E'(s('0'),f(X14))
| ~ iLEQ(suc(X11),suc(X12))
| ~ 'E'(s('0'),f(X12))
| ~ 'E'(s('0'),f(suc(X14)))
| ~ sP0(X10) ),
inference(general_splitting,[],[f10,f11_D]) ).
fof(f11,plain,
! [X10,X8] :
( ~ 'E'(s('0'),f(suc(X8)))
| ~ 'E'(s('0'),f(X8))
| sP0(X10)
| ~ iLEQ(suc(X8),suc(X10)) ),
inference(cnf_transformation,[],[f11_D]) ).
fof(f11_D,plain,
! [X10] :
( ! [X8] :
( ~ 'E'(s('0'),f(suc(X8)))
| ~ 'E'(s('0'),f(X8))
| ~ iLEQ(suc(X8),suc(X10)) )
<=> ~ sP0(X10) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,axiom,
! [X10,X11,X8,X14,X12,X13] :
( ~ 'E'(s('0'),f(X10))
| ~ 'E'(s('0'),f(suc(X11)))
| ~ 'E'(s('0'),f(X8))
| ~ iLEQ(suc(X8),suc(X10))
| ~ 'E'(s('0'),f(X11))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ iLEQ(suc(X13),suc(X11))
| ~ 'E'(s('0'),f(X13))
| ~ iLEQ(suc(X12),suc(X14))
| ~ 'E'(s('0'),f(suc(X13)))
| ~ iLEQ(suc(X10),suc(X13))
| ~ 'E'(s('0'),f(suc(X10)))
| ~ 'E'(s('0'),f(suc(X12)))
| ~ 'E'(s('0'),f(X14))
| ~ iLEQ(suc(X11),suc(X12))
| ~ 'E'(s('0'),f(X12))
| ~ 'E'(s('0'),f(suc(X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_179) ).
fof(f254,plain,
( ~ spl8_1
| ~ spl8_4
| ~ spl8_12
| ~ spl8_18
| ~ spl8_20 ),
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f253,plain,
( $false
| ~ spl8_1
| ~ spl8_4
| ~ spl8_12
| ~ spl8_18
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f252,f34]) ).
fof(f34,plain,
( 'E'('0',f(z))
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl8_1
<=> 'E'('0',f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f252,plain,
( ~ 'E'('0',f(z))
| ~ spl8_4
| ~ spl8_12
| ~ spl8_18
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f251,f248]) ).
fof(f248,plain,
( sP4(z)
| ~ spl8_18
| ~ spl8_20 ),
inference(resolution,[],[f147,f168]) ).
fof(f147,plain,
( ! [X4] :
( ~ iLEQ(suc(z),suc(X4))
| sP4(X4) )
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl8_18
<=> ! [X4] :
( sP4(X4)
| ~ iLEQ(suc(z),suc(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f251,plain,
( ~ sP4(z)
| ~ 'E'('0',f(z))
| ~ spl8_4
| ~ spl8_12
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f250,f168]) ).
fof(f250,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| ~ sP4(z)
| ~ spl8_4
| ~ spl8_12 ),
inference(resolution,[],[f112,f53]) ).
fof(f53,plain,
( 'E'('0',f(suc(z)))
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl8_4
<=> 'E'('0',f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f112,plain,
( ! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ sP4(X0)
| ~ 'E'('0',f(X0)) )
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl8_12
<=> ! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ sP4(X0)
| ~ 'E'('0',f(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f247,plain,
( ~ spl8_13
| spl8_12
| ~ spl8_1
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f246,f51,f32,f111,f114]) ).
fof(f114,plain,
( spl8_13
<=> sP7(z) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
fof(f246,plain,
( ! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ sP7(z)
| ~ iLEQ(suc(X0),suc(z))
| ~ sP4(X0)
| ~ 'E'('0',f(X0)) )
| ~ spl8_1
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f230,f34]) ).
fof(f230,plain,
( ! [X0] :
( ~ sP7(z)
| ~ sP4(X0)
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(X0)) )
| ~ spl8_4 ),
inference(resolution,[],[f53,f26]) ).
fof(f26,plain,
! [X4,X5] :
( ~ 'E'('0',f(suc(X5)))
| ~ sP4(X4)
| ~ 'E'('0',f(X5))
| ~ 'E'('0',f(X4))
| ~ 'E'('0',f(suc(X4)))
| ~ sP7(X5)
| ~ iLEQ(suc(X4),suc(X5)) ),
inference(general_splitting,[],[f24,f25_D]) ).
fof(f25,plain,
! [X0,X5] :
( ~ 'E'('0',f(suc(X0)))
| ~ sP6(X0)
| ~ iLEQ(suc(X5),suc(X0))
| ~ 'E'('0',f(X0))
| sP7(X5) ),
inference(cnf_transformation,[],[f25_D]) ).
fof(f25_D,plain,
! [X5] :
( ! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ sP6(X0)
| ~ iLEQ(suc(X5),suc(X0))
| ~ 'E'('0',f(X0)) )
<=> ~ sP7(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f24,plain,
! [X0,X4,X5] :
( ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X4),suc(X5))
| ~ 'E'('0',f(suc(X4)))
| ~ iLEQ(suc(X5),suc(X0))
| ~ 'E'('0',f(X5))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X5)))
| ~ 'E'('0',f(X4))
| ~ sP4(X4)
| ~ sP6(X0) ),
inference(general_splitting,[],[f22,f23_D]) ).
fof(f23,plain,
! [X0,X1] :
( ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ sP5(X1)
| ~ 'E'('0',f(X1))
| sP6(X0) ),
inference(cnf_transformation,[],[f23_D]) ).
fof(f23_D,plain,
! [X0] :
( ! [X1] :
( ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ sP5(X1)
| ~ 'E'('0',f(X1)) )
<=> ~ sP6(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f22,plain,
! [X0,X1,X4,X5] :
( ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X4)))
| ~ iLEQ(suc(X5),suc(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X5))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X5)))
| ~ 'E'('0',f(X4))
| ~ sP4(X4)
| ~ sP5(X1) ),
inference(general_splitting,[],[f20,f21_D]) ).
fof(f21,plain,
! [X3,X1] :
( ~ 'E'('0',f(suc(X3)))
| ~ iLEQ(suc(X1),suc(X3))
| sP5(X1)
| ~ 'E'('0',f(X3)) ),
inference(cnf_transformation,[],[f21_D]) ).
fof(f21_D,plain,
! [X1] :
( ! [X3] :
( ~ 'E'('0',f(suc(X3)))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'('0',f(X3)) )
<=> ~ sP5(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f20,plain,
! [X3,X0,X1,X4,X5] :
( ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X4)))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X5))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X5)))
| ~ 'E'('0',f(X4))
| ~ sP4(X4) ),
inference(general_splitting,[],[f1,f19_D]) ).
fof(f19,plain,
! [X2,X4] :
( ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X2),suc(X4))
| sP4(X4) ),
inference(cnf_transformation,[],[f19_D]) ).
fof(f19_D,plain,
! [X4] :
( ! [X2] :
( ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X2),suc(X4)) )
<=> ~ sP4(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X4)))
| ~ iLEQ(suc(X2),suc(X4))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X5))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X5)))
| ~ 'E'('0',f(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_102) ).
fof(f245,plain,
( spl8_13
| ~ spl8_17
| ~ spl8_20 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| spl8_13
| ~ spl8_17
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f243,f116]) ).
fof(f116,plain,
( ~ sP7(z)
| spl8_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f243,plain,
( sP7(z)
| ~ spl8_17
| ~ spl8_20 ),
inference(resolution,[],[f134,f168]) ).
fof(f134,plain,
( ! [X1] :
( ~ iLEQ(suc(X1),suc(z))
| sP7(X1) )
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl8_17
<=> ! [X1] :
( ~ iLEQ(suc(X1),suc(z))
| sP7(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f242,plain,
( ~ spl8_16
| spl8_17
| ~ spl8_1
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f241,f51,f32,f133,f129]) ).
fof(f129,plain,
( spl8_16
<=> sP6(z) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f241,plain,
( ! [X1] :
( sP7(X1)
| ~ iLEQ(suc(X1),suc(z))
| ~ sP6(z) )
| ~ spl8_1
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f231,f34]) ).
fof(f231,plain,
( ! [X1] :
( sP7(X1)
| ~ sP6(z)
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(X1),suc(z)) )
| ~ spl8_4 ),
inference(resolution,[],[f53,f25]) ).
fof(f240,plain,
( ~ spl8_14
| spl8_16
| ~ spl8_20 ),
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f239,plain,
( $false
| ~ spl8_14
| spl8_16
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f238,f131]) ).
fof(f131,plain,
( ~ sP6(z)
| spl8_16 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f238,plain,
( sP6(z)
| ~ spl8_14
| ~ spl8_20 ),
inference(resolution,[],[f121,f168]) ).
fof(f121,plain,
( ! [X2] :
( ~ iLEQ(suc(X2),suc(z))
| sP6(X2) )
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl8_14
<=> ! [X2] :
( sP6(X2)
| ~ iLEQ(suc(X2),suc(z)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f237,plain,
( spl8_20
| ~ spl8_1
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f236,f51,f32,f166]) ).
fof(f236,plain,
( iLEQ(suc(z),suc(z))
| ~ spl8_1
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f235,f34]) ).
fof(f235,plain,
( ~ 'E'('0',f(z))
| iLEQ(suc(z),suc(z))
| ~ spl8_4 ),
inference(resolution,[],[f53,f2]) ).
fof(f2,axiom,
! [X2] :
( ~ 'E'('0',f(suc(X2)))
| iLEQ(suc(X2),suc(X2))
| ~ 'E'('0',f(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f229,plain,
( ~ spl8_3
| ~ spl8_11
| ~ spl8_23
| ~ spl8_27 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| ~ spl8_3
| ~ spl8_11
| ~ spl8_23
| ~ spl8_27 ),
inference(subsumption_resolution,[],[f227,f47]) ).
fof(f227,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ spl8_3
| ~ spl8_11
| ~ spl8_23
| ~ spl8_27 ),
inference(subsumption_resolution,[],[f226,f216]) ).
fof(f216,plain,
( sP3(suc(z))
| ~ spl8_3
| ~ spl8_11
| ~ spl8_27 ),
inference(resolution,[],[f209,f191]) ).
fof(f191,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl8_3
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f181,f47]) ).
fof(f181,plain,
( ~ 'E'(s('0'),f(suc(z)))
| iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl8_11 ),
inference(resolution,[],[f99,f7]) ).
fof(f7,axiom,
! [X8] :
( ~ 'E'(s('0'),f(suc(X8)))
| iLEQ(suc(X8),suc(X8))
| ~ 'E'(s('0'),f(X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_70) ).
fof(f99,plain,
( 'E'(s('0'),f(suc(suc(z))))
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl8_11
<=> 'E'(s('0'),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f209,plain,
( ! [X1] :
( ~ iLEQ(suc(X1),suc(suc(z)))
| sP3(X1) )
| ~ spl8_27 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl8_27
<=> ! [X1] :
( ~ iLEQ(suc(X1),suc(suc(z)))
| sP3(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).
fof(f226,plain,
( ~ sP3(suc(z))
| ~ 'E'(s('0'),f(suc(z)))
| ~ spl8_3
| ~ spl8_11
| ~ spl8_23 ),
inference(subsumption_resolution,[],[f225,f191]) ).
fof(f225,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s('0'),f(suc(z)))
| ~ sP3(suc(z))
| ~ spl8_11
| ~ spl8_23 ),
inference(resolution,[],[f189,f99]) ).
fof(f189,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ sP3(X0) )
| ~ spl8_23 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl8_23
<=> ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ sP3(X0)
| ~ iLEQ(suc(suc(z)),suc(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
fof(f223,plain,
( ~ spl8_3
| ~ spl8_11
| spl8_22
| ~ spl8_25 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f222,plain,
( $false
| ~ spl8_3
| ~ spl8_11
| spl8_22
| ~ spl8_25 ),
inference(subsumption_resolution,[],[f221,f186]) ).
fof(f186,plain,
( ~ sP1(suc(z))
| spl8_22 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl8_22
<=> sP1(suc(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).
fof(f221,plain,
( sP1(suc(z))
| ~ spl8_3
| ~ spl8_11
| ~ spl8_25 ),
inference(resolution,[],[f199,f191]) ).
fof(f199,plain,
( ! [X2] :
( ~ iLEQ(suc(suc(z)),suc(X2))
| sP1(X2) )
| ~ spl8_25 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl8_25
<=> ! [X2] :
( ~ iLEQ(suc(suc(z)),suc(X2))
| sP1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).
fof(f220,plain,
( spl8_24
| ~ spl8_3
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f217,f97,f45,f194]) ).
fof(f194,plain,
( spl8_24
<=> sP0(suc(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).
fof(f217,plain,
( sP0(suc(z))
| ~ spl8_3
| ~ spl8_11 ),
inference(resolution,[],[f211,f191]) ).
fof(f211,plain,
( ! [X4] :
( ~ iLEQ(suc(suc(z)),suc(X4))
| sP0(X4) )
| ~ spl8_3
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f180,f47]) ).
fof(f180,plain,
( ! [X4] :
( ~ 'E'(s('0'),f(suc(z)))
| sP0(X4)
| ~ iLEQ(suc(suc(z)),suc(X4)) )
| ~ spl8_11 ),
inference(resolution,[],[f99,f11]) ).
fof(f215,plain,
( spl8_26
| ~ spl8_3
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f212,f97,f45,f204]) ).
fof(f204,plain,
( spl8_26
<=> sP2(suc(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).
fof(f212,plain,
( sP2(suc(z))
| ~ spl8_3
| ~ spl8_11 ),
inference(resolution,[],[f201,f191]) ).
fof(f201,plain,
( ! [X3] :
( ~ iLEQ(suc(X3),suc(suc(z)))
| sP2(X3) )
| ~ spl8_3
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f179,f47]) ).
fof(f179,plain,
( ! [X3] :
( ~ 'E'(s('0'),f(suc(z)))
| ~ iLEQ(suc(X3),suc(suc(z)))
| sP2(X3) )
| ~ spl8_11 ),
inference(resolution,[],[f99,f15]) ).
fof(f210,plain,
( ~ spl8_26
| spl8_27
| ~ spl8_3
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f202,f97,f45,f208,f204]) ).
fof(f202,plain,
( ! [X1] :
( ~ iLEQ(suc(X1),suc(suc(z)))
| sP3(X1)
| ~ sP2(suc(z)) )
| ~ spl8_3
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f177,f47]) ).
fof(f177,plain,
( ! [X1] :
( ~ 'E'(s('0'),f(suc(z)))
| sP3(X1)
| ~ sP2(suc(z))
| ~ iLEQ(suc(X1),suc(suc(z))) )
| ~ spl8_11 ),
inference(resolution,[],[f99,f17]) ).
fof(f200,plain,
( ~ spl8_24
| spl8_25
| ~ spl8_3
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f192,f97,f45,f198,f194]) ).
fof(f192,plain,
( ! [X2] :
( ~ iLEQ(suc(suc(z)),suc(X2))
| ~ sP0(suc(z))
| sP1(X2) )
| ~ spl8_3
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f178,f47]) ).
fof(f178,plain,
( ! [X2] :
( ~ 'E'(s('0'),f(suc(z)))
| ~ sP0(suc(z))
| sP1(X2)
| ~ iLEQ(suc(suc(z)),suc(X2)) )
| ~ spl8_11 ),
inference(resolution,[],[f99,f13]) ).
fof(f190,plain,
( ~ spl8_22
| spl8_23
| ~ spl8_3
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f182,f97,f45,f188,f184]) ).
fof(f182,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ sP3(X0)
| ~ sP1(suc(z))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl8_3
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f176,f47]) ).
fof(f176,plain,
( ! [X0] :
( ~ sP1(suc(z))
| ~ sP3(X0)
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl8_11 ),
inference(resolution,[],[f99,f18]) ).
fof(f175,plain,
( ~ spl8_2
| spl8_21
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f156,f45,f173,f36]) ).
fof(f156,plain,
( ! [X3] :
( ~ iLEQ(suc(X3),suc(z))
| sP2(X3)
| ~ 'E'(s('0'),f(z)) )
| ~ spl8_3 ),
inference(resolution,[],[f47,f15]) ).
fof(f169,plain,
( ~ spl8_2
| spl8_20
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f158,f45,f166,f36]) ).
fof(f158,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(z))
| ~ spl8_3 ),
inference(resolution,[],[f47,f7]) ).
fof(f164,plain,
( ~ spl8_2
| ~ spl8_3
| ~ spl8_5
| spl8_9 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| ~ spl8_2
| ~ spl8_3
| ~ spl8_5
| spl8_9 ),
inference(subsumption_resolution,[],[f162,f90]) ).
fof(f90,plain,
( ~ sP1(z)
| spl8_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f162,plain,
( sP1(z)
| ~ spl8_2
| ~ spl8_3
| ~ spl8_5 ),
inference(resolution,[],[f65,f160]) ).
fof(f160,plain,
( iLEQ(suc(z),suc(z))
| ~ spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f158,f38]) ).
fof(f65,plain,
( ! [X0] :
( ~ iLEQ(suc(z),suc(X0))
| sP1(X0) )
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl8_5
<=> ! [X0] :
( ~ iLEQ(suc(z),suc(X0))
| sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f148,plain,
( ~ spl8_1
| spl8_18
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f105,f51,f146,f32]) ).
fof(f105,plain,
( ! [X4] :
( sP4(X4)
| ~ iLEQ(suc(z),suc(X4))
| ~ 'E'('0',f(z)) )
| ~ spl8_4 ),
inference(resolution,[],[f53,f19]) ).
fof(f144,plain,
( ~ spl8_1
| ~ spl8_4
| spl8_15 ),
inference(avatar_contradiction_clause,[],[f143]) ).
fof(f143,plain,
( $false
| ~ spl8_1
| ~ spl8_4
| spl8_15 ),
inference(subsumption_resolution,[],[f142,f125]) ).
fof(f125,plain,
( ~ sP5(z)
| spl8_15 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl8_15
<=> sP5(z) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f142,plain,
( sP5(z)
| ~ spl8_1
| ~ spl8_4 ),
inference(resolution,[],[f140,f108]) ).
fof(f108,plain,
( ! [X3] :
( ~ iLEQ(suc(X3),suc(z))
| sP5(X3) )
| ~ spl8_1
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f104,f34]) ).
fof(f104,plain,
( ! [X3] :
( sP5(X3)
| ~ iLEQ(suc(X3),suc(z))
| ~ 'E'('0',f(z)) )
| ~ spl8_4 ),
inference(resolution,[],[f53,f21]) ).
fof(f140,plain,
( iLEQ(suc(z),suc(z))
| ~ spl8_1
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f106,f34]) ).
fof(f106,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| ~ spl8_4 ),
inference(resolution,[],[f53,f2]) ).
fof(f126,plain,
( spl8_14
| ~ spl8_15
| ~ spl8_1
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f118,f51,f32,f123,f120]) ).
fof(f118,plain,
( ! [X2] :
( ~ sP5(z)
| sP6(X2)
| ~ iLEQ(suc(X2),suc(z)) )
| ~ spl8_1
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f103,f34]) ).
fof(f103,plain,
( ! [X2] :
( ~ sP5(z)
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(X2),suc(z))
| sP6(X2) )
| ~ spl8_4 ),
inference(resolution,[],[f53,f23]) ).
fof(f100,plain,
( spl8_4
| spl8_11 ),
inference(avatar_split_clause,[],[f95,f97,f51]) ).
fof(f95,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f42,f3]) ).
fof(f3,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_98) ).
fof(f42,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s('0'),f(suc(suc(X1))))
| 'E'('0',f(suc(X1))) ),
inference(resolution,[],[f40,f4]) ).
fof(f4,axiom,
! [X6] :
( ~ 'LE'(f(suc(X6)),s('0'))
| 'E'('0',f(suc(X6)))
| 'LE'(f(X6),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_123) ).
fof(f40,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f8,f6]) ).
fof(f6,axiom,
! [X7] : 'LE'(f(X7),s(s('0'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_83) ).
fof(f8,axiom,
! [X9] :
( ~ 'LE'(f(suc(X9)),s(s('0')))
| 'E'(s('0'),f(suc(X9)))
| 'LE'(f(X9),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
fof(f84,plain,
( spl8_6
| ~ spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f81,f45,f36,f67]) ).
fof(f67,plain,
( spl8_6
<=> sP0(z) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f81,plain,
( sP0(z)
| ~ spl8_2
| ~ spl8_3 ),
inference(resolution,[],[f58,f60]) ).
fof(f60,plain,
( iLEQ(suc(z),suc(z))
| ~ spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f57,f38]) ).
fof(f57,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'(s('0'),f(z))
| ~ spl8_3 ),
inference(resolution,[],[f47,f7]) ).
fof(f58,plain,
( ! [X1] :
( ~ iLEQ(suc(z),suc(X1))
| sP0(X1) )
| ~ spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f56,f38]) ).
fof(f56,plain,
( ! [X1] :
( sP0(X1)
| ~ 'E'(s('0'),f(z))
| ~ iLEQ(suc(z),suc(X1)) )
| ~ spl8_3 ),
inference(resolution,[],[f47,f11]) ).
fof(f70,plain,
( spl8_5
| ~ spl8_6
| ~ spl8_2
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f62,f45,f36,f67,f64]) ).
fof(f62,plain,
( ! [X0] :
( ~ sP0(z)
| ~ iLEQ(suc(z),suc(X0))
| sP1(X0) )
| ~ spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f61,f38]) ).
fof(f61,plain,
( ! [X0] :
( sP1(X0)
| ~ 'E'(s('0'),f(z))
| ~ iLEQ(suc(z),suc(X0))
| ~ sP0(z) )
| ~ spl8_3 ),
inference(resolution,[],[f13,f47]) ).
fof(f54,plain,
( spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f49,f45,f51]) ).
fof(f49,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f29,f3]) ).
fof(f29,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(X0)))
| 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f4,f27]) ).
fof(f27,plain,
! [X9] :
( 'LE'(f(X9),s('0'))
| 'E'(s('0'),f(X9)) ),
inference(subsumption_resolution,[],[f9,f6]) ).
fof(f9,axiom,
! [X9] :
( 'LE'(f(X9),s('0'))
| ~ 'LE'(f(X9),s(s('0')))
| 'E'(s('0'),f(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_185) ).
fof(f48,plain,
( spl8_1
| spl8_3 ),
inference(avatar_split_clause,[],[f43,f45,f32]) ).
fof(f43,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference(resolution,[],[f41,f3]) ).
fof(f41,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f40,f5]) ).
fof(f5,axiom,
! [X6] :
( ~ 'LE'(f(X6),s('0'))
| 'E'('0',f(X6))
| 'LE'(f(X6),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_42) ).
fof(f39,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f30,f36,f32]) ).
fof(f30,plain,
( 'E'(s('0'),f(z))
| 'E'('0',f(z)) ),
inference(resolution,[],[f28,f3]) ).
fof(f28,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(X0))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f5,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYO666-1 : TPTP v8.1.0. Released v7.3.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29 % Computer : n009.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Aug 30 23:07:50 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.15/0.43 % (15709)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.43 % (15719)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.43 % (15723)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.43 % (15715)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.43 % (15705)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.43 % (15729)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.15/0.44 % (15713)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.44 % (15721)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.44 % (15703)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.44 % (15703)Refutation not found, incomplete strategy% (15703)------------------------------
% 0.15/0.44 % (15703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.44 % (15703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.44 % (15703)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.44
% 0.15/0.44 % (15703)Memory used [KB]: 5373
% 0.15/0.44 % (15703)Time elapsed: 0.095 s
% 0.15/0.44 % (15703)Instructions burned: 2 (million)
% 0.15/0.44 % (15703)------------------------------
% 0.15/0.44 % (15703)------------------------------
% 0.15/0.44 % (15708)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.44 % (15702)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.15/0.44 % (15723)First to succeed.
% 0.15/0.45 % (15709)Instruction limit reached!
% 0.15/0.45 % (15709)------------------------------
% 0.15/0.45 % (15709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.45 % (15709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.45 % (15709)Termination reason: Unknown
% 0.15/0.45 % (15709)Termination phase: Saturation
% 0.15/0.45
% 0.15/0.45 % (15709)Memory used [KB]: 5373
% 0.15/0.45 % (15709)Time elapsed: 0.106 s
% 0.15/0.45 % (15709)Instructions burned: 7 (million)
% 0.15/0.45 % (15709)------------------------------
% 0.15/0.45 % (15709)------------------------------
% 0.15/0.45 % (15724)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.45 % (15706)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.45 % (15721)Also succeeded, but the first one will report.
% 0.15/0.45 % (15723)Refutation found. Thanks to Tanya!
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.45 % (15723)------------------------------
% 0.15/0.45 % (15723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.45 % (15723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.45 % (15723)Termination reason: Refutation
% 0.15/0.45
% 0.15/0.45 % (15723)Memory used [KB]: 5500
% 0.15/0.45 % (15723)Time elapsed: 0.064 s
% 0.15/0.45 % (15723)Instructions burned: 6 (million)
% 0.15/0.45 % (15723)------------------------------
% 0.15/0.45 % (15723)------------------------------
% 0.15/0.45 % (15701)Success in time 0.149 s
%------------------------------------------------------------------------------