%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM783_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:25:42 PM UTC 2026
% Result : Theorem 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 159 ( 12 unt; 0 typ; 19 def)
% Number of atoms : 663 ( 0 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 619 ( 256 ~; 343 |; 0 &)
% ( 19 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 141 ( 141 fml; 0 var)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 21 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
rat: $tType ).
tff(func_def_0,type,
x0: rat ).
tff(func_def_1,type,
y0: rat ).
tff(pred_def_1,type,
or3: ( $o * $o * $o ) > $o ).
tff(pred_def_2,type,
is: ( rat * rat ) > $o ).
tff(pred_def_3,type,
more: ( rat * rat ) > $o ).
tff(pred_def_4,type,
less: ( rat * rat ) > $o ).
tff(pred_def_5,type,
ec3: ( $o * $o * $o ) > $o ).
tff(f2,axiom,
! [X0: rat,X1: rat] :
~ ( or3(is(X0,X1),more(X0,X1),less(X0,X1))
=> ~ ec3(is(X0,X1),more(X0,X1),less(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz81) ).
tff(f3,conjecture,
or3(is(x0,y0),more(x0,y0),less(x0,y0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz81a) ).
tff(f4,negated_conjecture,
~ or3(is(x0,y0),more(x0,y0),less(x0,y0)),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f7,plain,
~ or3(is(x0,y0),more(x0,y0),less(x0,y0)),
inference(flattening,[],[f4]) ).
tff(f8,plain,
! [X0: rat,X1: rat] :
~ ~ or3(is(X0,X1),more(X0,X1),less(X0,X1)),
inference(pure_predicate_removal,[],[f2]) ).
tff(f10,plain,
! [X0: rat,X1: rat] : or3(is(X0,X1),more(X0,X1),less(X0,X1)),
inference(ennf_transformation,[],[f8]) ).
tff(f11,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| more(X0,X1)
| ~ is(X0,X1)
| or3($true,$false,$true) ),
inference(cnf_transformation,[],[f10]) ).
tff(f12,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| more(X0,X1)
| is(X0,X1)
| or3($false,$false,$true) ),
inference(cnf_transformation,[],[f10]) ).
tff(f13,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| ~ more(X0,X1)
| ~ is(X0,X1)
| or3($true,$true,$true) ),
inference(cnf_transformation,[],[f10]) ).
tff(f14,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| ~ more(X0,X1)
| is(X0,X1)
| or3($false,$true,$true) ),
inference(cnf_transformation,[],[f10]) ).
tff(f15,plain,
! [X0: rat,X1: rat] :
( less(X0,X1)
| more(X0,X1)
| ~ is(X0,X1)
| or3($true,$false,$false) ),
inference(cnf_transformation,[],[f10]) ).
tff(f16,plain,
! [X0: rat,X1: rat] :
( less(X0,X1)
| more(X0,X1)
| is(X0,X1)
| or3($false,$false,$false) ),
inference(cnf_transformation,[],[f10]) ).
tff(f17,plain,
! [X0: rat,X1: rat] :
( less(X0,X1)
| ~ more(X0,X1)
| ~ is(X0,X1)
| or3($true,$true,$false) ),
inference(cnf_transformation,[],[f10]) ).
tff(f18,plain,
! [X0: rat,X1: rat] :
( less(X0,X1)
| ~ more(X0,X1)
| is(X0,X1)
| or3($false,$true,$false) ),
inference(cnf_transformation,[],[f10]) ).
tff(f19,plain,
( ~ less(x0,y0)
| more(x0,y0)
| ~ is(x0,y0)
| ~ or3($true,$false,$true) ),
inference(cnf_transformation,[],[f7]) ).
tff(f20,plain,
( ~ less(x0,y0)
| more(x0,y0)
| is(x0,y0)
| ~ or3($false,$false,$true) ),
inference(cnf_transformation,[],[f7]) ).
tff(f21,plain,
( ~ less(x0,y0)
| ~ more(x0,y0)
| ~ is(x0,y0)
| ~ or3($true,$true,$true) ),
inference(cnf_transformation,[],[f7]) ).
tff(f22,plain,
( ~ less(x0,y0)
| ~ more(x0,y0)
| is(x0,y0)
| ~ or3($false,$true,$true) ),
inference(cnf_transformation,[],[f7]) ).
tff(f23,plain,
( less(x0,y0)
| more(x0,y0)
| ~ is(x0,y0)
| ~ or3($true,$false,$false) ),
inference(cnf_transformation,[],[f7]) ).
tff(f24,plain,
( less(x0,y0)
| more(x0,y0)
| is(x0,y0)
| ~ or3($false,$false,$false) ),
inference(cnf_transformation,[],[f7]) ).
tff(f25,plain,
( less(x0,y0)
| ~ more(x0,y0)
| ~ is(x0,y0)
| ~ or3($true,$true,$false) ),
inference(cnf_transformation,[],[f7]) ).
tff(f26,plain,
( less(x0,y0)
| ~ more(x0,y0)
| is(x0,y0)
| ~ or3($false,$true,$false) ),
inference(cnf_transformation,[],[f7]) ).
tff(f29,plain,
! [X0: rat,X1: rat] :
( less(X0,X1)
| more(X0,X1)
| ~ is(X0,X1)
| ~ or3($false,$true,$false) ),
inference(consistent_polarity_flipping,[],[f18]) ).
tff(f30,plain,
! [X0: rat,X1: rat] :
( less(X0,X1)
| more(X0,X1)
| is(X0,X1)
| ~ or3($true,$true,$false) ),
inference(consistent_polarity_flipping,[],[f17]) ).
tff(f31,plain,
! [X0: rat,X1: rat] :
( less(X0,X1)
| ~ more(X0,X1)
| ~ is(X0,X1)
| ~ or3($false,$false,$false) ),
inference(consistent_polarity_flipping,[],[f16]) ).
tff(f32,plain,
! [X0: rat,X1: rat] :
( less(X0,X1)
| ~ more(X0,X1)
| is(X0,X1)
| ~ or3($true,$false,$false) ),
inference(consistent_polarity_flipping,[],[f15]) ).
tff(f33,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| more(X0,X1)
| ~ is(X0,X1)
| ~ or3($false,$true,$true) ),
inference(consistent_polarity_flipping,[],[f14]) ).
tff(f34,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| more(X0,X1)
| is(X0,X1)
| ~ or3($true,$true,$true) ),
inference(consistent_polarity_flipping,[],[f13]) ).
tff(f35,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| ~ more(X0,X1)
| ~ is(X0,X1)
| ~ or3($false,$false,$true) ),
inference(consistent_polarity_flipping,[],[f12]) ).
tff(f36,plain,
! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| ~ more(X0,X1)
| is(X0,X1)
| ~ or3($true,$false,$true) ),
inference(consistent_polarity_flipping,[],[f11]) ).
tff(f37,plain,
( less(x0,y0)
| more(x0,y0)
| ~ is(x0,y0)
| or3($false,$true,$false) ),
inference(consistent_polarity_flipping,[],[f26]) ).
tff(f38,plain,
( less(x0,y0)
| more(x0,y0)
| is(x0,y0)
| or3($true,$true,$false) ),
inference(consistent_polarity_flipping,[],[f25]) ).
tff(f39,plain,
( less(x0,y0)
| ~ more(x0,y0)
| ~ is(x0,y0)
| or3($false,$false,$false) ),
inference(consistent_polarity_flipping,[],[f24]) ).
tff(f40,plain,
( less(x0,y0)
| ~ more(x0,y0)
| is(x0,y0)
| or3($true,$false,$false) ),
inference(consistent_polarity_flipping,[],[f23]) ).
tff(f41,plain,
( ~ less(x0,y0)
| more(x0,y0)
| ~ is(x0,y0)
| or3($false,$true,$true) ),
inference(consistent_polarity_flipping,[],[f22]) ).
tff(f42,plain,
( ~ less(x0,y0)
| more(x0,y0)
| is(x0,y0)
| or3($true,$true,$true) ),
inference(consistent_polarity_flipping,[],[f21]) ).
tff(f43,plain,
( ~ less(x0,y0)
| ~ more(x0,y0)
| ~ is(x0,y0)
| or3($false,$false,$true) ),
inference(consistent_polarity_flipping,[],[f20]) ).
tff(f44,plain,
( ~ less(x0,y0)
| ~ more(x0,y0)
| is(x0,y0)
| or3($true,$false,$true) ),
inference(consistent_polarity_flipping,[],[f19]) ).
tff(f46,definition,
( spl0_1
<=> or3($true,$false,$true) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f50,definition,
( spl0_2
<=> is(x0,y0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f51,plain,
( ~ is(x0,y0)
| spl0_2 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f52,plain,
( is(x0,y0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f54,definition,
( spl0_3
<=> more(x0,y0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f55,plain,
( more(x0,y0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f54]) ).
tff(f56,plain,
( ~ more(x0,y0)
| spl0_3 ),
inference(avatar_component_clause,[],[f54]) ).
tff(f58,definition,
( spl0_4
<=> less(x0,y0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f59,plain,
( less(x0,y0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f58]) ).
tff(f60,plain,
( ~ less(x0,y0)
| spl0_4 ),
inference(avatar_component_clause,[],[f58]) ).
tff(f61,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f44,f58,f54,f50,f46]) ).
tff(f63,definition,
( spl0_5
<=> or3($false,$false,$true) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f66,plain,
( spl0_5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f43,f58,f54,f50,f63]) ).
tff(f68,definition,
( spl0_6
<=> or3($true,$true,$true) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
tff(f71,plain,
( spl0_6
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f42,f58,f54,f50,f68]) ).
tff(f73,definition,
( spl0_7
<=> or3($false,$true,$true) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
tff(f76,plain,
( spl0_7
| ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f41,f58,f54,f50,f73]) ).
tff(f78,definition,
( spl0_8
<=> or3($true,$false,$false) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
tff(f81,plain,
( spl0_8
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f40,f58,f54,f50,f78]) ).
tff(f83,definition,
( spl0_9
<=> or3($false,$false,$false) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
tff(f86,plain,
( spl0_9
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f39,f58,f54,f50,f83]) ).
tff(f88,definition,
( spl0_10
<=> or3($true,$true,$false) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
tff(f91,plain,
( spl0_10
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f38,f58,f54,f50,f88]) ).
tff(f93,definition,
( spl0_11
<=> or3($false,$true,$false) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
tff(f96,plain,
( spl0_11
| ~ spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f37,f58,f54,f50,f93]) ).
tff(f98,definition,
( spl0_12
<=> ! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| is(X0,X1)
| ~ more(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
tff(f99,plain,
( ! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| is(X0,X1)
| ~ more(X0,X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f98]) ).
tff(f100,plain,
( ~ spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f98,f46]) ).
tff(f102,definition,
( spl0_13
<=> ! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| ~ is(X0,X1)
| ~ more(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
tff(f103,plain,
( ! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| ~ is(X0,X1)
| ~ more(X0,X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f102]) ).
tff(f104,plain,
( ~ spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f35,f102,f63]) ).
tff(f106,definition,
( spl0_14
<=> ! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| is(X0,X1)
| more(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
tff(f107,plain,
( ! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| is(X0,X1)
| more(X0,X1) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f106]) ).
tff(f108,plain,
( ~ spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f106,f68]) ).
tff(f110,definition,
( spl0_15
<=> ! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| ~ is(X0,X1)
| more(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
tff(f111,plain,
( ! [X0: rat,X1: rat] :
( ~ less(X0,X1)
| ~ is(X0,X1)
| more(X0,X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f110]) ).
tff(f112,plain,
( ~ spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f33,f110,f73]) ).
tff(f114,definition,
( spl0_16
<=> ! [X0: rat,X1: rat] :
( less(X0,X1)
| is(X0,X1)
| ~ more(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
tff(f115,plain,
( ! [X0: rat,X1: rat] :
( less(X0,X1)
| is(X0,X1)
| ~ more(X0,X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f114]) ).
tff(f116,plain,
( ~ spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f32,f114,f78]) ).
tff(f118,definition,
( spl0_17
<=> ! [X0: rat,X1: rat] :
( less(X0,X1)
| ~ is(X0,X1)
| ~ more(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
tff(f119,plain,
( ! [X0: rat,X1: rat] :
( ~ more(X0,X1)
| ~ is(X0,X1)
| less(X0,X1) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f118]) ).
tff(f120,plain,
( ~ spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f31,f118,f83]) ).
tff(f122,definition,
( spl0_18
<=> ! [X0: rat,X1: rat] :
( less(X0,X1)
| is(X0,X1)
| more(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
tff(f123,plain,
( ! [X0: rat,X1: rat] :
( less(X0,X1)
| is(X0,X1)
| more(X0,X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f122]) ).
tff(f124,plain,
( ~ spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f30,f122,f88]) ).
tff(f126,definition,
( spl0_19
<=> ! [X0: rat,X1: rat] :
( less(X0,X1)
| ~ is(X0,X1)
| more(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
tff(f127,plain,
( ! [X0: rat,X1: rat] :
( ~ is(X0,X1)
| less(X0,X1)
| more(X0,X1) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f126]) ).
tff(f128,plain,
( ~ spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f29,f126,f93]) ).
tff(f129,plain,
( ~ is(x0,y0)
| ~ more(x0,y0)
| ~ spl0_4
| ~ spl0_13 ),
inference(resolution,[],[f103,f59]) ).
tff(f130,plain,
( ~ more(x0,y0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f129,f52]) ).
tff(f131,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f130,f55]) ).
tff(f132,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f131]) ).
tff(f133,plain,
( ~ is(x0,y0)
| less(x0,y0)
| ~ spl0_3
| ~ spl0_17 ),
inference(resolution,[],[f119,f55]) ).
tff(f134,plain,
( less(x0,y0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f133,f52]) ).
tff(f135,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f134,f60]) ).
tff(f136,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f135]) ).
tff(f141,plain,
( less(x0,y0)
| more(x0,y0)
| ~ spl0_2
| ~ spl0_19 ),
inference(resolution,[],[f127,f52]) ).
tff(f142,plain,
( more(x0,y0)
| ~ spl0_2
| spl0_4
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f141,f60]) ).
tff(f143,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f142,f56]) ).
tff(f144,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f143]) ).
tff(f149,plain,
( is(x0,y0)
| more(x0,y0)
| spl0_4
| ~ spl0_18 ),
inference(resolution,[],[f123,f60]) ).
tff(f150,plain,
( more(x0,y0)
| spl0_2
| spl0_4
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f149,f51]) ).
tff(f154,plain,
( spl0_3
| spl0_2
| spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f150,f122,f58,f50,f54]) ).
tff(f158,plain,
( is(x0,y0)
| ~ more(x0,y0)
| spl0_4
| ~ spl0_16 ),
inference(resolution,[],[f115,f60]) ).
tff(f159,plain,
( ~ more(x0,y0)
| spl0_2
| spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f158,f51]) ).
tff(f160,plain,
( $false
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f159,f55]) ).
tff(f161,plain,
( spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f160]) ).
tff(f166,plain,
( is(x0,y0)
| ~ more(x0,y0)
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[],[f99,f59]) ).
tff(f170,plain,
( ~ spl0_3
| spl0_2
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f166,f98,f58,f50,f54]) ).
tff(f171,plain,
( ~ is(x0,y0)
| more(x0,y0)
| ~ spl0_4
| ~ spl0_15 ),
inference(resolution,[],[f111,f59]) ).
tff(f172,plain,
( more(x0,y0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f171,f52]) ).
tff(f173,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f172,f56]) ).
tff(f174,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f173]) ).
tff(f179,plain,
( is(x0,y0)
| more(x0,y0)
| ~ spl0_4
| ~ spl0_14 ),
inference(resolution,[],[f107,f59]) ).
tff(f180,plain,
( more(x0,y0)
| spl0_2
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f179,f51]) ).
tff(f181,plain,
( $false
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f180,f56]) ).
tff(f182,plain,
( spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f181]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f61]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f66]) ).
cnf(s3,plain,
( spl0_2
| spl0_3
| ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f71]) ).
cnf(s4,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f76]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_3
| spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f81]) ).
cnf(s6,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f86]) ).
cnf(s7,plain,
( spl0_2
| spl0_3
| spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f91]) ).
cnf(s8,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f96]) ).
cnf(s9,plain,
( ~ spl0_1
| spl0_12 ),
inference(sat_conversion,[],[f100]) ).
cnf(s10,plain,
( ~ spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f104]) ).
cnf(s11,plain,
( ~ spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f108]) ).
cnf(s12,plain,
( ~ spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f112]) ).
cnf(s13,plain,
( ~ spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f116]) ).
cnf(s14,plain,
( ~ spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f120]) ).
cnf(s15,plain,
( ~ spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f124]) ).
cnf(s16,plain,
( ~ spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f128]) ).
cnf(s17,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13 ),
inference(sat_conversion,[],[f132]) ).
cnf(s18,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_17 ),
inference(sat_conversion,[],[f136]) ).
cnf(s20,plain,
( ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_19 ),
inference(sat_conversion,[],[f144]) ).
cnf(s23,plain,
( spl0_2
| spl0_3
| spl0_4
| ~ spl0_18 ),
inference(sat_conversion,[],[f154]) ).
cnf(s25,plain,
( spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_16 ),
inference(sat_conversion,[],[f161]) ).
cnf(s28,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(sat_conversion,[],[f170]) ).
cnf(s29,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_15 ),
inference(sat_conversion,[],[f174]) ).
cnf(s31,plain,
( spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_14 ),
inference(sat_conversion,[],[f182]) ).
cnf(s32,plain,
( spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s15,s23,s7]) ).
cnf(s33,plain,
( ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s11,s3,s31]) ).
cnf(s34,plain,
( spl0_3
| spl0_2 ),
inference(rat,[],[s33,s32]) ).
cnf(s35,plain,
( spl0_4
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s13,s5,s25]) ).
cnf(s36,plain,
( ~ spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s35,s1]) ).
cnf(s37,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s36,s34]) ).
cnf(s38,plain,
( spl0_4
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s16,s8,s20]) ).
cnf(s39,plain,
( ~ spl0_4
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s12,s4,s29]) ).
cnf(s40,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s39,s38]) ).
cnf(s41,plain,
( spl0_4
| ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s14,s6,s18]) ).
cnf(s42,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s10,s2,s17]) ).
cnf(s43,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s42,s41]) ).
cnf(s44,plain,
~ spl0_2,
inference(rat,[],[s43,s40]) ).
cnf(s45,plain,
spl0_3,
inference(rat,[],[s34,s44]) ).
cnf(s46,plain,
spl0_1,
inference(rat,[],[s37,s44]) ).
cnf(s47,plain,
spl0_4,
inference(rat,[],[s35,s44,s45]) ).
cnf(s48,plain,
spl0_12,
inference(rat,[],[s9,s46]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s28,s45,s44,s48,s47]) ).
tff(f183,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM783_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 21:22:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.46 % (565273)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (565278)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1512562964_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % Detected minimum model sizes of [1,1]
% 0.10/0.46 % Detected maximum model sizes of [2,2]
% 0.10/0.46 % TRYING [1,1]
% 0.10/0.46 % TRYING [1,2]
% 0.10/0.46 % (565278)Cannot enumerate next child to try in an incomplete setup
% 0.10/0.46 % (565278)Refutation not found, incomplete strategy
% 0.10/0.46 % (565278)------------------------------
% 0.10/0.46 % (565278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (565278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (565278)CaDiCaL version: 2.1.3
% 0.10/0.46 % (565278)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.46 % (565278)Time elapsed: 0.001 s
% 0.10/0.46 % (565278)Peak memory usage: 11 MB
% 0.10/0.46 % (565278)Instructions burned: 3 (million)
% 0.10/0.46 % (565278)------------------------------
% 0.10/0.46 % (565278)------------------------------
% 0.10/0.46 % (565279)% WARNING: option uhcvi not known.
% 0.10/0.46 % (565279)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=372575269:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (565280)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=804941686:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (565281)dis+10_1_sil=32000:sp=arity:random_seed=4062053487:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (565282)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1931801940:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (565283)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3641071923:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (565284)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=866913651:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (565279) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-565273-565279"...
% 0.10/0.46 % (565282) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-565273-565282"...
% 0.10/0.46 % (565286)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1476756402:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.10/0.46 % (565279)...printing done.
% 0.10/0.46 % (565282)...printing done.
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (565279)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Theorem for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (565279)------------------------------
% 0.10/0.46 % (565279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (565279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (565279)CaDiCaL version: 2.1.3
% 0.10/0.46 % (565279)Termination reason: Refutation
% 0.10/0.46 % (565279)Time elapsed: 0.005 s
% 0.10/0.46 % (565279)Peak memory usage: 12 MB
% 0.10/0.46 % (565279)Instructions burned: 5 (million)
% 0.10/0.46 % (565273)Success in time 0.04 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------