%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM783_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:16:59 PM UTC 2026
% Result : Theorem 4.13s 1.70s
% Output : Refutation 6.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 28
% Syntax : Number of formulae : 238 ( 20 unt; 0 typ; 25 def)
% Number of atoms : 1037 ( 102 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 732 ( 327 ~; 369 |; 6 &)
% ( 28 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 396 ( 394 fml; 2 var)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 33 ( 30 usr; 21 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
rat: $tType ).
tff(func_def_0,type,
x0: rat ).
tff(func_def_1,type,
y0: rat ).
tff(func_def_4,type,
bG0: ( rat * rat ) > $o ).
tff(func_def_5,type,
bG1: ( rat * rat ) > $o ).
tff(func_def_6,type,
bG2: ( rat * rat ) > $o ).
tff(func_def_7,type,
bG3: ( rat * rat ) > $o ).
tff(func_def_8,type,
bG4: ( rat * rat ) > $o ).
tff(func_def_9,type,
bG5: ( rat * rat ) > $o ).
tff(func_def_10,type,
bG6: $o ).
tff(func_def_11,type,
bG7: $o ).
tff(func_def_12,type,
bG8: $o ).
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/sandbox/benchmark/theBenchmark.p',satz81) ).
tff(f3,conjecture,
or3(is(x0,y0),more(x0,y0),less(x0,y0)),
file('/export/starexec/sandbox/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,definition,
! [X1: rat,X0: rat] :
( is(X0,X1)
<=> ( $true = bG0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f8,definition,
! [X1: rat,X0: rat] :
( more(X0,X1)
<=> ( $true = bG1(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f9,definition,
! [X1: rat,X0: rat] :
( less(X0,X1)
<=> ( $true = bG2(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[bG2])],[fool_formula_definition]) ).
tff(f10,definition,
! [X1: rat,X0: rat] :
( is(X0,X1)
<=> ( $true = bG3(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[bG3])],[fool_formula_definition]) ).
tff(f11,definition,
! [X1: rat,X0: rat] :
( more(X0,X1)
<=> ( $true = bG4(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[bG4])],[fool_formula_definition]) ).
tff(f12,definition,
! [X1: rat,X0: rat] :
( less(X0,X1)
<=> ( $true = bG5(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[bG5])],[fool_formula_definition]) ).
tff(f13,plain,
! [X0: rat,X1: rat] :
~ ( or3(bG3(X1,X0),bG4(X1,X0),bG5(X1,X0))
=> ~ ec3(bG0(X1,X0),bG1(X1,X0),bG2(X1,X0)) ),
inference(fool_elimination,[],[f2,f12,f11,f10,f9,f8,f7]) ).
tff(f14,definition,
( is(x0,y0)
<=> ( $true = bG6 ) ),
introduced(definition,[new_symbols(definition,[bG6])],[fool_formula_definition]) ).
tff(f15,definition,
( more(x0,y0)
<=> ( $true = bG7 ) ),
introduced(definition,[new_symbols(definition,[bG7])],[fool_formula_definition]) ).
tff(f16,definition,
( less(x0,y0)
<=> ( $true = bG8 ) ),
introduced(definition,[new_symbols(definition,[bG8])],[fool_formula_definition]) ).
tff(f17,plain,
~ or3(bG6,bG7,bG8),
inference(fool_elimination,[],[f4,f16,f15,f14]) ).
tff(f18,plain,
~ or3(bG6,bG7,bG8),
inference(flattening,[],[f17]) ).
tff(f22,plain,
! [X0: rat,X1: rat] :
( is(X1,X0)
<=> ( $true = bG3(X0,X1) ) ),
inference(rectify,[],[f10]) ).
tff(f23,plain,
! [X0: rat,X1: rat] :
( more(X1,X0)
<=> ( $true = bG4(X0,X1) ) ),
inference(rectify,[],[f11]) ).
tff(f24,plain,
! [X0: rat,X1: rat] :
( less(X1,X0)
<=> ( $true = bG5(X0,X1) ) ),
inference(rectify,[],[f12]) ).
tff(f26,plain,
! [X0: rat,X1: rat] :
~ ~ or3(bG3(X1,X0),bG4(X1,X0),bG5(X1,X0)),
inference(pure_predicate_removal,[],[f13]) ).
tff(f27,plain,
! [X0: rat,X1: rat] : or3(bG3(X1,X0),bG4(X1,X0),bG5(X1,X0)),
inference(ennf_transformation,[],[f26]) ).
tff(f29,plain,
( ( is(x0,y0)
| ( $true != bG6 ) )
& ( ( $true = bG6 )
| ~ is(x0,y0) ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f30,plain,
( ( more(x0,y0)
| ( $true != bG7 ) )
& ( ( $true = bG7 )
| ~ more(x0,y0) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f31,plain,
( ( less(x0,y0)
| ( $true != bG8 ) )
& ( ( $true = bG8 )
| ~ less(x0,y0) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f35,plain,
! [X0: rat,X1: rat] :
( ( is(X1,X0)
| ( $true != bG3(X0,X1) ) )
& ( ( $true = bG3(X0,X1) )
| ~ is(X1,X0) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f36,plain,
! [X0: rat,X1: rat] :
( ( more(X1,X0)
| ( $true != bG4(X0,X1) ) )
& ( ( $true = bG4(X0,X1) )
| ~ more(X1,X0) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f37,plain,
! [X0: rat,X1: rat] :
( ( less(X1,X0)
| ( $true != bG5(X0,X1) ) )
& ( ( $true = bG5(X0,X1) )
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f24]) ).
tff(f38,plain,
~ or3(bG6,bG7,bG8),
inference(cnf_transformation,[],[f18]) ).
tff(f39,plain,
! [X0: rat,X1: rat] : or3(bG3(X1,X0),bG4(X1,X0),bG5(X1,X0)),
inference(cnf_transformation,[],[f27]) ).
tff(f40,plain,
( ( $true = bG6 )
| ~ is(x0,y0) ),
inference(cnf_transformation,[],[f29]) ).
tff(f41,plain,
( is(x0,y0)
| ( $true != bG6 ) ),
inference(cnf_transformation,[],[f29]) ).
tff(f42,plain,
( ( $true = bG7 )
| ~ more(x0,y0) ),
inference(cnf_transformation,[],[f30]) ).
tff(f43,plain,
( more(x0,y0)
| ( $true != bG7 ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f44,plain,
( ( $true = bG8 )
| ~ less(x0,y0) ),
inference(cnf_transformation,[],[f31]) ).
tff(f45,plain,
( less(x0,y0)
| ( $true != bG8 ) ),
inference(cnf_transformation,[],[f31]) ).
tff(f52,plain,
! [X0: rat,X1: rat] :
( ~ is(X1,X0)
| ( $true = bG3(X0,X1) ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f53,plain,
! [X0: rat,X1: rat] :
( ( $true != bG3(X0,X1) )
| is(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
tff(f54,plain,
! [X0: rat,X1: rat] :
( ~ more(X1,X0)
| ( $true = bG4(X0,X1) ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f55,plain,
! [X0: rat,X1: rat] :
( ( $true != bG4(X0,X1) )
| more(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
tff(f56,plain,
! [X0: rat,X1: rat] :
( ~ less(X1,X0)
| ( $true = bG5(X0,X1) ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f57,plain,
! [X0: rat,X1: rat] :
( ( $true != bG5(X0,X1) )
| less(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
tff(f60,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f63,definition,
( spl9_1
<=> less(x0,y0) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
tff(f64,plain,
( less(x0,y0)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f63]) ).
tff(f65,plain,
( ~ less(x0,y0)
| spl9_1 ),
inference(avatar_component_clause,[],[f63]) ).
tff(f67,definition,
( spl9_2
<=> ( $true = bG8 ) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
tff(f68,plain,
( ( $true != bG8 )
| spl9_2 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f69,plain,
( ( $true = bG8 )
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f70,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f44,f67,f63]) ).
tff(f71,plain,
( ~ spl9_2
| spl9_1 ),
inference(avatar_split_clause,[],[f45,f63,f67]) ).
tff(f73,definition,
( spl9_3
<=> more(x0,y0) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
tff(f74,plain,
( more(x0,y0)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f73]) ).
tff(f75,plain,
( ~ more(x0,y0)
| spl9_3 ),
inference(avatar_component_clause,[],[f73]) ).
tff(f77,definition,
( spl9_4
<=> ( $true = bG7 ) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
tff(f78,plain,
( ( $true != bG7 )
| spl9_4 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f79,plain,
( ( $true = bG7 )
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f80,plain,
( ~ spl9_3
| spl9_4 ),
inference(avatar_split_clause,[],[f42,f77,f73]) ).
tff(f81,plain,
( ~ spl9_4
| spl9_3 ),
inference(avatar_split_clause,[],[f43,f73,f77]) ).
tff(f83,definition,
( spl9_5
<=> is(x0,y0) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
tff(f84,plain,
( is(x0,y0)
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f83]) ).
tff(f85,plain,
( ~ is(x0,y0)
| spl9_5 ),
inference(avatar_component_clause,[],[f83]) ).
tff(f87,definition,
( spl9_6
<=> ( $true = bG6 ) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
tff(f88,plain,
( ( $true != bG6 )
| spl9_6 ),
inference(avatar_component_clause,[],[f87]) ).
tff(f89,plain,
( ( $true = bG6 )
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f87]) ).
tff(f90,plain,
( ~ spl9_5
| spl9_6 ),
inference(avatar_split_clause,[],[f40,f87,f83]) ).
tff(f91,plain,
( ~ spl9_6
| spl9_5 ),
inference(avatar_split_clause,[],[f41,f83,f87]) ).
tff(f94,plain,
( ( $true != $true )
| ( bG6 = $false )
| spl9_6 ),
inference(superposition,[],[f88,f60]) ).
tff(f95,plain,
( ~ or3($true,bG7,bG8)
| ( bG6 = $false ) ),
inference(superposition,[],[f38,f60]) ).
tff(f96,plain,
( ( $true != $true )
| ( bG7 = $false )
| spl9_4 ),
inference(superposition,[],[f78,f60]) ).
tff(f97,plain,
( ~ or3(bG6,$true,bG8)
| ( bG7 = $false ) ),
inference(superposition,[],[f38,f60]) ).
tff(f98,plain,
( ( $true != $true )
| ( bG8 = $false )
| spl9_2 ),
inference(superposition,[],[f68,f60]) ).
tff(f99,plain,
( ~ or3(bG6,bG7,$true)
| ( bG8 = $false ) ),
inference(superposition,[],[f38,f60]) ).
tff(f101,plain,
( ( bG8 = $false )
| spl9_2 ),
inference(trivial_inequality_removal,[],[f98]) ).
tff(f102,plain,
( ( bG7 = $false )
| spl9_4 ),
inference(trivial_inequality_removal,[],[f96]) ).
tff(f103,plain,
( ( bG6 = $false )
| spl9_6 ),
inference(trivial_inequality_removal,[],[f94]) ).
tff(f105,definition,
( spl9_7
<=> ( bG8 = $false ) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
tff(f107,plain,
( ( bG8 = $false )
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f105]) ).
tff(f109,definition,
( spl9_8
<=> or3(bG6,bG7,$true) ),
introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).
tff(f111,plain,
( ~ or3(bG6,bG7,$true)
| spl9_8 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f112,plain,
( spl9_7
| ~ spl9_8 ),
inference(avatar_split_clause,[],[f99,f109,f105]) ).
tff(f113,plain,
( spl9_7
| spl9_2 ),
inference(avatar_split_clause,[],[f101,f67,f105]) ).
tff(f115,definition,
( spl9_9
<=> ( bG7 = $false ) ),
introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition]) ).
tff(f117,plain,
( ( bG7 = $false )
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f115]) ).
tff(f119,definition,
( spl9_10
<=> or3(bG6,$true,bG8) ),
introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition]) ).
tff(f121,plain,
( ~ or3(bG6,$true,bG8)
| spl9_10 ),
inference(avatar_component_clause,[],[f119]) ).
tff(f122,plain,
( spl9_9
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f97,f119,f115]) ).
tff(f123,plain,
( spl9_9
| spl9_4 ),
inference(avatar_split_clause,[],[f102,f77,f115]) ).
tff(f125,definition,
( spl9_11
<=> ( bG6 = $false ) ),
introduced(definition,[new_symbols(definition,[spl9_11])],[avatar_definition]) ).
tff(f127,plain,
( ( bG6 = $false )
| ~ spl9_11 ),
inference(avatar_component_clause,[],[f125]) ).
tff(f129,definition,
( spl9_12
<=> or3($true,bG7,bG8) ),
introduced(definition,[new_symbols(definition,[spl9_12])],[avatar_definition]) ).
tff(f131,plain,
( ~ or3($true,bG7,bG8)
| spl9_12 ),
inference(avatar_component_clause,[],[f129]) ).
tff(f132,plain,
( spl9_11
| ~ spl9_12 ),
inference(avatar_split_clause,[],[f95,f129,f125]) ).
tff(f133,plain,
( spl9_11
| spl9_6 ),
inference(avatar_split_clause,[],[f103,f87,f125]) ).
tff(f134,plain,
( ~ or3($true,bG7,$true)
| ~ spl9_6
| spl9_8 ),
inference(forward_demodulation,[],[f111,f89]) ).
tff(f136,plain,
( ~ or3($true,$false,$true)
| ~ spl9_6
| spl9_8
| ~ spl9_9 ),
inference(forward_demodulation,[],[f134,f117]) ).
tff(f163,plain,
( ( $true = bG3(y0,x0) )
| ~ spl9_5 ),
inference(resolution,[],[f52,f84]) ).
tff(f164,plain,
! [X0: rat,X1: rat] :
( ( $true != $true )
| is(X1,X0)
| ( bG3(X0,X1) = $false ) ),
inference(superposition,[],[f53,f60]) ).
tff(f165,plain,
! [X0: rat,X1: rat] :
( is(X1,X0)
| ( bG3(X0,X1) = $false ) ),
inference(trivial_inequality_removal,[],[f164]) ).
tff(f168,plain,
! [X0: rat,X1: rat] :
( ( $true != $true )
| more(X1,X0)
| ( bG4(X0,X1) = $false ) ),
inference(superposition,[],[f55,f60]) ).
tff(f169,plain,
! [X0: rat,X1: rat] :
( more(X1,X0)
| ( bG4(X0,X1) = $false ) ),
inference(trivial_inequality_removal,[],[f168]) ).
tff(f170,plain,
( ( $true = bG5(y0,x0) )
| ~ spl9_1 ),
inference(resolution,[],[f56,f64]) ).
tff(f172,plain,
! [X0: rat,X1: rat] :
( ( $true != $true )
| less(X1,X0)
| ( bG5(X0,X1) = $false ) ),
inference(superposition,[],[f57,f60]) ).
tff(f173,plain,
! [X0: rat,X1: rat] :
( less(X1,X0)
| ( bG5(X0,X1) = $false ) ),
inference(trivial_inequality_removal,[],[f172]) ).
tff(f180,plain,
( or3(bG3(y0,x0),bG4(y0,x0),$true)
| ~ spl9_1 ),
inference(superposition,[],[f39,f170]) ).
tff(f181,plain,
! [X0: rat,X1: rat] :
( or3(bG3(X0,X1),bG4(X0,X1),$true)
| ( bG5(X0,X1) = $false ) ),
inference(superposition,[],[f39,f60]) ).
tff(f182,plain,
( or3($true,bG4(y0,x0),$true)
| ~ spl9_1
| ~ spl9_5 ),
inference(forward_demodulation,[],[f180,f163]) ).
tff(f184,plain,
( or3($true,$true,$true)
| ( $false = bG4(y0,x0) )
| ~ spl9_1
| ~ spl9_5 ),
inference(superposition,[],[f182,f60]) ).
tff(f187,definition,
( spl9_13
<=> ( $false = bG4(y0,x0) ) ),
introduced(definition,[new_symbols(definition,[spl9_13])],[avatar_definition]) ).
tff(f189,plain,
( ( $false = bG4(y0,x0) )
| ~ spl9_13 ),
inference(avatar_component_clause,[],[f187]) ).
tff(f191,definition,
( spl9_14
<=> or3($true,$true,$true) ),
introduced(definition,[new_symbols(definition,[spl9_14])],[avatar_definition]) ).
tff(f193,plain,
( or3($true,$true,$true)
| ~ spl9_14 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f194,plain,
( spl9_13
| spl9_14
| ~ spl9_1
| ~ spl9_5 ),
inference(avatar_split_clause,[],[f184,f83,f63,f191,f187]) ).
tff(f217,plain,
( ( $false = bG3(y0,x0) )
| spl9_5 ),
inference(resolution,[],[f165,f85]) ).
tff(f218,plain,
( ( $false = bG4(y0,x0) )
| spl9_3 ),
inference(resolution,[],[f169,f75]) ).
tff(f221,plain,
( spl9_13
| spl9_3 ),
inference(avatar_split_clause,[],[f218,f73,f187]) ).
tff(f222,plain,
( ( $true = $false )
| ~ spl9_4
| ~ spl9_9 ),
inference(forward_demodulation,[],[f79,f117]) ).
tff(f223,plain,
( $false
| ~ spl9_4
| ~ spl9_9 ),
inference(trivial_inequality_removal,[],[f222]) ).
tff(f224,plain,
( ~ spl9_4
| ~ spl9_9 ),
inference(avatar_contradiction_clause,[],[f223]) ).
tff(f225,plain,
( ~ or3(bG6,$true,$true)
| ~ spl9_2
| spl9_10 ),
inference(forward_demodulation,[],[f121,f69]) ).
tff(f228,plain,
( ~ or3($false,$true,$true)
| ~ spl9_2
| spl9_10
| ~ spl9_11 ),
inference(forward_demodulation,[],[f225,f127]) ).
tff(f230,plain,
( ( $true = bG4(y0,x0) )
| ~ spl9_3 ),
inference(resolution,[],[f74,f54]) ).
tff(f243,plain,
( or3(bG3(y0,x0),$true,bG5(y0,x0))
| ~ spl9_3 ),
inference(superposition,[],[f39,f230]) ).
tff(f246,plain,
( or3(bG3(y0,x0),$true,$true)
| ~ spl9_1
| ~ spl9_3 ),
inference(forward_demodulation,[],[f243,f170]) ).
tff(f247,plain,
( or3($false,$true,$true)
| ~ spl9_1
| ~ spl9_3
| spl9_5 ),
inference(forward_demodulation,[],[f246,f217]) ).
tff(f248,plain,
( $false
| ~ spl9_1
| ~ spl9_2
| ~ spl9_3
| spl9_5
| spl9_10
| ~ spl9_11 ),
inference(forward_subsumption_resolution,[],[f247,f228]) ).
tff(f249,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3
| spl9_5
| spl9_10
| ~ spl9_11 ),
inference(avatar_contradiction_clause,[],[f248]) ).
tff(f257,plain,
( ( $true = bG3(y0,x0) )
| ~ spl9_5 ),
inference(resolution,[],[f84,f52]) ).
tff(f272,plain,
( ~ or3($true,bG7,$false)
| ~ spl9_7
| spl9_12 ),
inference(forward_demodulation,[],[f131,f107]) ).
tff(f273,plain,
( ~ or3(bG6,$true,$false)
| ~ spl9_7
| spl9_10 ),
inference(forward_demodulation,[],[f121,f107]) ).
tff(f280,plain,
( ~ or3($true,$true,$false)
| ~ spl9_6
| ~ spl9_7
| spl9_10 ),
inference(forward_demodulation,[],[f273,f89]) ).
tff(f300,plain,
( ( $false = bG5(y0,x0) )
| spl9_1 ),
inference(resolution,[],[f173,f65]) ).
tff(f552,plain,
( or3($true,bG4(y0,x0),$true)
| ( $false = bG5(y0,x0) )
| ~ spl9_5 ),
inference(superposition,[],[f181,f257]) ).
tff(f586,plain,
( or3(bG3(y0,x0),bG4(y0,x0),$false)
| spl9_1 ),
inference(superposition,[],[f39,f300]) ).
tff(f591,plain,
( or3(bG3(y0,x0),$true,$false)
| spl9_1
| ~ spl9_3 ),
inference(forward_demodulation,[],[f586,f230]) ).
tff(f593,plain,
( or3($true,$true,$false)
| spl9_1
| ~ spl9_3
| ~ spl9_5 ),
inference(forward_demodulation,[],[f591,f257]) ).
tff(f599,plain,
( $false
| spl9_1
| ~ spl9_3
| ~ spl9_5
| ~ spl9_6
| ~ spl9_7
| spl9_10 ),
inference(forward_subsumption_resolution,[],[f593,f280]) ).
tff(f600,plain,
( spl9_1
| ~ spl9_3
| ~ spl9_5
| ~ spl9_6
| ~ spl9_7
| spl9_10 ),
inference(avatar_contradiction_clause,[],[f599]) ).
tff(f609,plain,
( ~ or3(bG6,$true,$true)
| ~ spl9_2
| spl9_10 ),
inference(forward_demodulation,[],[f121,f69]) ).
tff(f621,plain,
( or3($true,$false,$true)
| ( $false = bG5(y0,x0) )
| ~ spl9_5
| ~ spl9_13 ),
inference(forward_demodulation,[],[f552,f189]) ).
tff(f624,plain,
( ~ or3($true,$true,$true)
| ~ spl9_2
| ~ spl9_6
| spl9_10 ),
inference(forward_demodulation,[],[f609,f89]) ).
tff(f633,plain,
( ( $false = bG5(y0,x0) )
| ~ spl9_5
| ~ spl9_6
| spl9_8
| ~ spl9_9
| ~ spl9_13 ),
inference(forward_subsumption_resolution,[],[f621,f136]) ).
tff(f634,plain,
( $false
| ~ spl9_2
| ~ spl9_6
| spl9_10
| ~ spl9_14 ),
inference(forward_subsumption_resolution,[],[f624,f193]) ).
tff(f635,plain,
( ~ spl9_2
| ~ spl9_6
| spl9_10
| ~ spl9_14 ),
inference(avatar_contradiction_clause,[],[f634]) ).
tff(f646,plain,
( ~ or3(bG6,$false,bG8)
| ~ spl9_9 ),
inference(superposition,[],[f38,f117]) ).
tff(f650,plain,
( ~ or3(bG6,$false,$true)
| ~ spl9_2
| ~ spl9_9 ),
inference(forward_demodulation,[],[f646,f69]) ).
tff(f652,plain,
( ( $true = bG5(y0,x0) )
| ~ spl9_1 ),
inference(resolution,[],[f64,f56]) ).
tff(f654,plain,
( ( $true = $false )
| ~ spl9_1
| ~ spl9_5
| ~ spl9_6
| spl9_8
| ~ spl9_9
| ~ spl9_13 ),
inference(forward_demodulation,[],[f652,f633]) ).
tff(f655,plain,
( $false
| ~ spl9_1
| ~ spl9_5
| ~ spl9_6
| spl9_8
| ~ spl9_9
| ~ spl9_13 ),
inference(trivial_inequality_removal,[],[f654]) ).
tff(f656,plain,
( ~ spl9_1
| ~ spl9_5
| ~ spl9_6
| spl9_8
| ~ spl9_9
| ~ spl9_13 ),
inference(avatar_contradiction_clause,[],[f655]) ).
tff(f657,plain,
( ~ or3($true,$false,$false)
| ~ spl9_7
| ~ spl9_9
| spl9_12 ),
inference(forward_demodulation,[],[f272,f117]) ).
tff(f664,definition,
( spl9_15
<=> ( $false = bG5(y0,x0) ) ),
introduced(definition,[new_symbols(definition,[spl9_15])],[avatar_definition]) ).
tff(f665,plain,
( ( $false != bG5(y0,x0) )
| spl9_15 ),
inference(avatar_component_clause,[],[f664]) ).
tff(f666,plain,
( ( $false = bG5(y0,x0) )
| ~ spl9_15 ),
inference(avatar_component_clause,[],[f664]) ).
tff(f696,plain,
( ~ or3($false,$false,$true)
| ~ spl9_2
| ~ spl9_9
| ~ spl9_11 ),
inference(forward_demodulation,[],[f650,f127]) ).
tff(f697,plain,
( ~ or3($false,$true,$false)
| ~ spl9_7
| spl9_10
| ~ spl9_11 ),
inference(forward_demodulation,[],[f273,f127]) ).
tff(f717,plain,
( ( $true = $false )
| ~ spl9_2
| ~ spl9_7 ),
inference(superposition,[],[f69,f107]) ).
tff(f728,plain,
( $false
| ~ spl9_2
| ~ spl9_7 ),
inference(trivial_inequality_removal,[],[f717]) ).
tff(f729,plain,
( ~ spl9_2
| ~ spl9_7 ),
inference(avatar_contradiction_clause,[],[f728]) ).
tff(f781,plain,
( ( $false = bG3(y0,x0) )
| spl9_5 ),
inference(resolution,[],[f85,f165]) ).
tff(f791,plain,
( or3(bG3(y0,x0),bG4(y0,x0),$true)
| ~ spl9_1 ),
inference(superposition,[],[f39,f652]) ).
tff(f796,plain,
( or3(bG3(y0,x0),$false,$true)
| ~ spl9_1
| ~ spl9_13 ),
inference(forward_demodulation,[],[f791,f189]) ).
tff(f799,plain,
( or3($false,$false,$true)
| ~ spl9_1
| spl9_5
| ~ spl9_13 ),
inference(forward_demodulation,[],[f796,f781]) ).
tff(f800,plain,
( $false
| ~ spl9_1
| ~ spl9_2
| spl9_5
| ~ spl9_9
| ~ spl9_11
| ~ spl9_13 ),
inference(forward_subsumption_resolution,[],[f799,f696]) ).
tff(f801,plain,
( ~ spl9_1
| ~ spl9_2
| spl9_5
| ~ spl9_9
| ~ spl9_11
| ~ spl9_13 ),
inference(avatar_contradiction_clause,[],[f800]) ).
tff(f803,plain,
( ( $true = $false )
| ~ spl9_6
| ~ spl9_11 ),
inference(forward_demodulation,[],[f89,f127]) ).
tff(f804,plain,
( $false
| ~ spl9_6
| ~ spl9_11 ),
inference(trivial_inequality_removal,[],[f803]) ).
tff(f805,plain,
( ~ spl9_6
| ~ spl9_11 ),
inference(avatar_contradiction_clause,[],[f804]) ).
tff(f813,plain,
( ~ or3(bG6,$false,$false)
| ~ spl9_7
| ~ spl9_9 ),
inference(forward_demodulation,[],[f646,f107]) ).
tff(f824,plain,
( ~ or3($false,$false,$false)
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11 ),
inference(forward_demodulation,[],[f813,f127]) ).
tff(f826,definition,
( spl9_18
<=> or3($false,$false,$false) ),
introduced(definition,[new_symbols(definition,[spl9_18])],[avatar_definition]) ).
tff(f828,plain,
( ~ or3($false,$false,$false)
| spl9_18 ),
inference(avatar_component_clause,[],[f826]) ).
tff(f840,plain,
( ~ spl9_18
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f824,f125,f115,f105,f826]) ).
tff(f871,plain,
( ( $false = bG5(y0,x0) )
| spl9_1 ),
inference(resolution,[],[f65,f173]) ).
tff(f912,plain,
( ( $true = bG3(y0,x0) )
| ~ spl9_5 ),
inference(resolution,[],[f84,f52]) ).
tff(f944,plain,
( or3($true,bG4(y0,x0),bG5(y0,x0))
| ~ spl9_5 ),
inference(superposition,[],[f39,f912]) ).
tff(f949,plain,
( or3($true,bG4(y0,x0),$false)
| ~ spl9_5
| ~ spl9_15 ),
inference(forward_demodulation,[],[f944,f666]) ).
tff(f952,plain,
( or3($true,$false,$false)
| ~ spl9_5
| ~ spl9_13
| ~ spl9_15 ),
inference(forward_demodulation,[],[f949,f189]) ).
tff(f953,plain,
( $false
| ~ spl9_5
| ~ spl9_7
| ~ spl9_9
| spl9_12
| ~ spl9_13
| ~ spl9_15 ),
inference(forward_subsumption_resolution,[],[f952,f657]) ).
tff(f954,plain,
( ~ spl9_5
| ~ spl9_7
| ~ spl9_9
| spl9_12
| ~ spl9_13
| ~ spl9_15 ),
inference(avatar_contradiction_clause,[],[f953]) ).
tff(f957,plain,
( $false
| spl9_1
| spl9_15 ),
inference(forward_subsumption_resolution,[],[f871,f665]) ).
tff(f958,plain,
( spl9_1
| spl9_15 ),
inference(avatar_contradiction_clause,[],[f957]) ).
tff(f980,plain,
( ( $false = bG3(y0,x0) )
| spl9_5 ),
inference(resolution,[],[f85,f165]) ).
tff(f1039,plain,
( or3(bG3(y0,x0),bG4(y0,x0),$false)
| ~ spl9_15 ),
inference(superposition,[],[f39,f666]) ).
tff(f1044,plain,
( or3(bG3(y0,x0),$false,$false)
| ~ spl9_13
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1039,f189]) ).
tff(f1045,plain,
( or3($false,$false,$false)
| spl9_5
| ~ spl9_13
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1044,f980]) ).
tff(f1046,plain,
( $false
| spl9_5
| ~ spl9_13
| ~ spl9_15
| spl9_18 ),
inference(forward_subsumption_resolution,[],[f1045,f828]) ).
tff(f1047,plain,
( spl9_5
| ~ spl9_13
| ~ spl9_15
| spl9_18 ),
inference(avatar_contradiction_clause,[],[f1046]) ).
tff(f1087,plain,
( ( $true = bG4(y0,x0) )
| ~ spl9_3 ),
inference(resolution,[],[f74,f54]) ).
tff(f1089,plain,
( ( $true = $false )
| ~ spl9_3
| ~ spl9_13 ),
inference(forward_demodulation,[],[f1087,f189]) ).
tff(f1090,plain,
( $false
| ~ spl9_3
| ~ spl9_13 ),
inference(trivial_inequality_removal,[],[f1089]) ).
tff(f1091,plain,
( ~ spl9_3
| ~ spl9_13 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
tff(f1092,plain,
( or3($false,bG4(y0,x0),$false)
| spl9_5
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1039,f980]) ).
tff(f1094,plain,
( or3($false,$true,$false)
| ~ spl9_3
| spl9_5
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1092,f1087]) ).
tff(f1096,plain,
( $false
| ~ spl9_3
| spl9_5
| ~ spl9_7
| spl9_10
| ~ spl9_11
| ~ spl9_15 ),
inference(forward_subsumption_resolution,[],[f1094,f697]) ).
tff(f1097,plain,
( ~ spl9_3
| spl9_5
| ~ spl9_7
| spl9_10
| ~ spl9_11
| ~ spl9_15 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
cnf(s1,plain,
( ~ spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f70]) ).
cnf(s2,plain,
( spl9_1
| ~ spl9_2 ),
inference(sat_conversion,[],[f71]) ).
cnf(s3,plain,
( ~ spl9_3
| spl9_4 ),
inference(sat_conversion,[],[f80]) ).
cnf(s4,plain,
( spl9_3
| ~ spl9_4 ),
inference(sat_conversion,[],[f81]) ).
cnf(s5,plain,
( ~ spl9_5
| spl9_6 ),
inference(sat_conversion,[],[f90]) ).
cnf(s6,plain,
( spl9_5
| ~ spl9_6 ),
inference(sat_conversion,[],[f91]) ).
cnf(s7,plain,
( spl9_7
| ~ spl9_8 ),
inference(sat_conversion,[],[f112]) ).
cnf(s8,plain,
( spl9_2
| spl9_7 ),
inference(sat_conversion,[],[f113]) ).
cnf(s9,plain,
( spl9_9
| ~ spl9_10 ),
inference(sat_conversion,[],[f122]) ).
cnf(s10,plain,
( spl9_4
| spl9_9 ),
inference(sat_conversion,[],[f123]) ).
cnf(s11,plain,
( spl9_11
| ~ spl9_12 ),
inference(sat_conversion,[],[f132]) ).
cnf(s12,plain,
( spl9_6
| spl9_11 ),
inference(sat_conversion,[],[f133]) ).
cnf(s13,plain,
( ~ spl9_1
| ~ spl9_5
| spl9_13
| spl9_14 ),
inference(sat_conversion,[],[f194]) ).
cnf(s15,plain,
( spl9_3
| spl9_13 ),
inference(sat_conversion,[],[f221]) ).
cnf(s16,plain,
( ~ spl9_4
| ~ spl9_9 ),
inference(sat_conversion,[],[f224]) ).
cnf(s18,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3
| spl9_5
| spl9_10
| ~ spl9_11 ),
inference(sat_conversion,[],[f249]) ).
cnf(s25,plain,
( spl9_1
| ~ spl9_3
| ~ spl9_5
| ~ spl9_6
| ~ spl9_7
| spl9_10 ),
inference(sat_conversion,[],[f600]) ).
cnf(s31,plain,
( ~ spl9_2
| ~ spl9_6
| spl9_10
| ~ spl9_14 ),
inference(sat_conversion,[],[f635]) ).
cnf(s32,plain,
( ~ spl9_1
| ~ spl9_5
| ~ spl9_6
| spl9_8
| ~ spl9_9
| ~ spl9_13 ),
inference(sat_conversion,[],[f656]) ).
cnf(s43,plain,
( ~ spl9_2
| ~ spl9_7 ),
inference(sat_conversion,[],[f729]) ).
cnf(s44,plain,
( ~ spl9_1
| ~ spl9_2
| spl9_5
| ~ spl9_9
| ~ spl9_11
| ~ spl9_13 ),
inference(sat_conversion,[],[f801]) ).
cnf(s48,plain,
( ~ spl9_6
| ~ spl9_11 ),
inference(sat_conversion,[],[f805]) ).
cnf(s51,plain,
( ~ spl9_7
| ~ spl9_9
| ~ spl9_11
| ~ spl9_18 ),
inference(sat_conversion,[],[f840]) ).
cnf(s57,plain,
( ~ spl9_5
| ~ spl9_7
| ~ spl9_9
| spl9_12
| ~ spl9_13
| ~ spl9_15 ),
inference(sat_conversion,[],[f954]) ).
cnf(s59,plain,
( spl9_1
| spl9_15 ),
inference(sat_conversion,[],[f958]) ).
cnf(s62,plain,
( spl9_5
| ~ spl9_13
| ~ spl9_15
| spl9_18 ),
inference(sat_conversion,[],[f1047]) ).
cnf(s63,plain,
( ~ spl9_3
| ~ spl9_13 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s64,plain,
( ~ spl9_3
| spl9_5
| ~ spl9_7
| spl9_10
| ~ spl9_11
| ~ spl9_15 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s66,plain,
( spl9_5
| spl9_3
| spl9_1 ),
inference(rat,[],[s12,s51,s6,s62,s59,s8,s2,s15,s10,s4]) ).
cnf(s67,plain,
( spl9_3
| spl9_1 ),
inference(rat,[],[s11,s48,s57,s5,s66,s10,s4,s15,s59,s8,s2]) ).
cnf(s68,plain,
( spl9_5
| ~ spl9_15
| ~ spl9_7
| ~ spl9_3
| spl9_10 ),
inference(rat,[],[s12,s6,s64]) ).
cnf(s69,plain,
spl9_1,
inference(rat,[],[s25,s5,s68,s9,s16,s3,s67,s8,s2,s59]) ).
cnf(s70,plain,
spl9_2,
inference(rat,[],[s1,s69]) ).
cnf(s71,plain,
~ spl9_7,
inference(rat,[],[s43,s70]) ).
cnf(s72,plain,
~ spl9_8,
inference(rat,[],[s7,s71]) ).
cnf(s73,plain,
( spl9_5
| ~ spl9_3 ),
inference(rat,[],[s12,s18,s6,s9,s16,s3,s69,s70]) ).
cnf(s74,plain,
~ spl9_3,
inference(rat,[],[s31,s5,s13,s73,s9,s16,s3,s63,s70,s69]) ).
cnf(s75,plain,
spl9_13,
inference(rat,[],[s15,s74]) ).
cnf(s76,plain,
~ spl9_4,
inference(rat,[],[s4,s74]) ).
cnf(s77,plain,
spl9_9,
inference(rat,[],[s10,s76]) ).
cnf(s78,plain,
spl9_5,
inference(rat,[],[s12,s44,s6,s69,s70,s77,s75]) ).
cnf(s79,plain,
spl9_6,
inference(rat,[],[s5,s78]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s32,s72,s69,s77,s75,s78,s79]) ).
tff(f1100,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM783_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:18:50 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.13/1.70 % (2945918)Detected formulas, will run a generic FOF schedule.
% 4.13/1.70 % (2946025)dis-21_1_sil=8000:lcm=predicate:random_seed=2711812601:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.13/1.70 % (2946025)Refutation not found, incomplete strategy
% 4.13/1.70 % (2946025)------------------------------
% 4.13/1.70 % (2946025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.70 % (2946025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.70 % (2946025)CaDiCaL version: 2.1.3
% 4.13/1.70 % (2946025)Termination reason: Refutation not found, incomplete strategy
% 4.13/1.70 % (2946025)Time elapsed: 0.002 s
% 4.13/1.70 % (2946025)Peak memory usage: 88 MB
% 4.13/1.70 % (2946025)Instructions burned: 2 (million)
% 4.13/1.70 % (2946020)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1890132920:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.13/1.70 % (2946021)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3496704976:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.13/1.70 % (2946019)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=89991938:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.13/1.70 % (2946022)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1047694149:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.13/1.70 % (2946018)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3655304152:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.13/1.70 % (2946021)Refutation not found, incomplete strategy
% 4.13/1.70 % (2946021)------------------------------
% 4.13/1.70 % (2946021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.70 % (2946021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.70 % (2946021)CaDiCaL version: 2.1.3
% 4.13/1.70 % (2946021)Termination reason: Refutation not found, incomplete strategy
% 4.13/1.70 % (2946021)Time elapsed: 0.001 s
% 4.13/1.70 % (2946021)Peak memory usage: 88 MB
% 4.13/1.70 % (2946024)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=756671987:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.13/1.70 % (2946022)Instruction limit reached!
% 4.13/1.70 % (2946022)------------------------------
% 4.13/1.70 % (2946022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.70 % (2946022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.70 % (2946022)CaDiCaL version: 2.1.3
% 4.13/1.70 % (2946022)Termination reason: Instruction limit
% 4.13/1.70 % (2946022)Termination phase: Saturation
% 4.13/1.70 % (2946022)Time elapsed: 0.053 s
% 4.13/1.70 % (2946022)Peak memory usage: 87 MB
% 4.13/1.70 % (2946022)Instructions burned: 122 (million)
% 4.13/1.70 % (2946024)Instruction limit reached!
% 4.13/1.70 % (2946024)------------------------------
% 4.13/1.70 % (2946024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.70 % (2946024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.70 % (2946024)CaDiCaL version: 2.1.3
% 4.13/1.70 % (2946024)Termination reason: Instruction limit
% 4.13/1.70 % (2946024)Termination phase: Saturation
% 4.13/1.70 % (2946024)Time elapsed: 0.087 s
% 4.13/1.70 % (2946024)Peak memory usage: 90 MB
% 4.13/1.70 % (2946024)Instructions burned: 140 (million)
% 4.13/1.70 % (2946025)------------------------------
% 4.13/1.70 % (2946025)------------------------------
% 4.13/1.70 % (2946038)lrs+10_1_sil=8000:sp=occurrence:random_seed=57398086:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.13/1.70 % (2946038)First to succeed.
% 4.13/1.70 % (2946038)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2945918"
% 4.13/1.70 % (2946042)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1758565127:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.13/1.70 % (2946042)Instruction limit reached!
% 4.13/1.70 % (2946042)------------------------------
% 4.13/1.70 % (2946042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.70 % (2946042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.70 % (2946042)CaDiCaL version: 2.1.3
% 4.13/1.70 % (2946042)Termination reason: Instruction limit
% 4.13/1.70 % (2946042)Termination phase: Saturation
% 4.13/1.70 % (2946042)Time elapsed: 0.061 s
% 4.13/1.70 % (2946042)Peak memory usage: 88 MB
% 4.13/1.70 % (2946042)Instructions burned: 157 (million)
% 4.13/1.70 % (2946021)------------------------------
% 4.13/1.70 % (2946021)------------------------------
% 4.13/1.70 % (2946045)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2627494192:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.13/1.70 % (2946072)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1851030908:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.13/1.70 % (2946076)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1658727479:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.13/1.70 % (2946076)Refutation not found, incomplete strategy
% 4.13/1.70 % (2946076)------------------------------
% 4.13/1.70 % (2946076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.70 % (2946076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.70 % (2946076)CaDiCaL version: 2.1.3
% 4.13/1.70 % (2946076)Termination reason: Refutation not found, incomplete strategy
% 4.13/1.70 % (2946076)Time elapsed: 0.010 s
% 4.13/1.70 % (2946076)Peak memory usage: 88 MB
% 4.13/1.70 % (2946076)Instructions burned: 8 (million)
% 4.13/1.70 % (2946072)Also succeeded, but the first one will report.
% 4.13/1.70 % (2946045)Instruction limit reached!
% 4.13/1.70 % (2946045)------------------------------
% 4.13/1.70 % (2946045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.70 % (2946045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.70 % (2946045)CaDiCaL version: 2.1.3
% 4.13/1.70 % (2946045)Termination reason: Instruction limit
% 4.13/1.70 % (2946045)Termination phase: Saturation
% 4.13/1.70 % (2946045)Time elapsed: 0.265 s
% 4.13/1.70 % (2946045)Peak memory usage: 89 MB
% 4.13/1.70 % (2946045)Instructions burned: 326 (million)
% 4.13/1.70 % (2946038)Refutation found. Thanks to Tanya!
% 4.13/1.70 % SZS status Theorem for theBenchmark
% 4.13/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 6.41/1.94 % (2946038)------------------------------
% 6.41/1.94 % (2946038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.94 % (2946038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.94 % (2946038)CaDiCaL version: 2.1.3
% 6.41/1.94 % (2946038)Termination reason: Refutation
% 6.41/1.94 % (2946038)Time elapsed: 0.023 s
% 6.41/1.94 % (2946038)Peak memory usage: 90 MB
% 6.41/1.94 % (2946038)Instructions burned: 34 (million)
% 6.41/1.94 % (2946038)------------------------------
% 6.41/1.94 % (2946038)------------------------------
% 6.41/1.94 % (2945918)Success in time 0.816 s
% 6.41/1.94 % Vampire exiting
%------------------------------------------------------------------------------