%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO500_8.002 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:26:42 PM UTC 2026
% Result : Theorem 3.06s 1.08s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 29
% Syntax : Number of formulae : 251 ( 12 unt; 0 typ; 27 def)
% Number of atoms : 964 ( 86 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 731 ( 307 ~; 386 |; 9 &)
% ( 28 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 295 ( 289 fml; 6 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 33 ( 30 usr; 30 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
bG0: $o ).
tff(func_def_3,type,
bG1: $o ).
tff(func_def_4,type,
bG2: $o ).
tff(func_def_5,type,
bG3: $o ).
tff(func_def_6,type,
bG4: $o ).
tff(func_def_7,type,
bG5: $o ).
tff(func_def_8,type,
bG6: $o ).
tff(func_def_9,type,
bG7: $o ).
tff(pred_def_2,type,
f0: $o > $o ).
tff(pred_def_3,type,
f1: $o > $o ).
tff(f1,conjecture,
f0(f0(f0(f1(x)))) = f0(f1(f1(f1(x)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski2) ).
tff(f2,negated_conjecture,
f0(f0(f0(f1(x)))) != f0(f1(f1(f1(x)))),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,definition,
( x
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f4,definition,
( f1(bG0)
<=> ( $true = bG1 ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f5,definition,
( f0(bG1)
<=> ( $true = bG2 ) ),
introduced(definition,[new_symbols(definition,[bG2])],[fool_formula_definition]) ).
tff(f6,definition,
( f0(bG2)
<=> ( $true = bG3 ) ),
introduced(definition,[new_symbols(definition,[bG3])],[fool_formula_definition]) ).
tff(f7,definition,
( x
<=> ( $true = bG4 ) ),
introduced(definition,[new_symbols(definition,[bG4])],[fool_formula_definition]) ).
tff(f8,definition,
( f1(bG4)
<=> ( $true = bG5 ) ),
introduced(definition,[new_symbols(definition,[bG5])],[fool_formula_definition]) ).
tff(f9,definition,
( f1(bG5)
<=> ( $true = bG6 ) ),
introduced(definition,[new_symbols(definition,[bG6])],[fool_formula_definition]) ).
tff(f10,definition,
( f1(bG6)
<=> ( $true = bG7 ) ),
introduced(definition,[new_symbols(definition,[bG7])],[fool_formula_definition]) ).
tff(f11,plain,
~ ( f0(bG3)
<=> f0(bG7) ),
inference(fool_elimination,[],[f2,f10,f9,f8,f7,f6,f5,f4,f3]) ).
tff(f12,plain,
( f0(bG3)
<~> f0(bG7) ),
inference(ennf_transformation,[],[f11]) ).
tff(f13,plain,
( ( f1(bG6)
| ( $true != bG7 ) )
& ( ( $true = bG7 )
| ~ f1(bG6) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f14,plain,
( ( f1(bG5)
| ( $true != bG6 ) )
& ( ( $true = bG6 )
| ~ f1(bG5) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f15,plain,
( ( f1(bG4)
| ( $true != bG5 ) )
& ( ( $true = bG5 )
| ~ f1(bG4) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f16,plain,
( ( x
| ( $true != bG4 ) )
& ( ( $true = bG4 )
| ~ x ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f17,plain,
( ( f0(bG2)
| ( $true != bG3 ) )
& ( ( $true = bG3 )
| ~ f0(bG2) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f18,plain,
( ( f0(bG1)
| ( $true != bG2 ) )
& ( ( $true = bG2 )
| ~ f0(bG1) ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f19,plain,
( ( f1(bG0)
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ f1(bG0) ) ),
inference(nnf_transformation,[],[f4]) ).
tff(f20,plain,
( ( x
| ( bG0 != $true ) )
& ( ( bG0 = $true )
| ~ x ) ),
inference(nnf_transformation,[],[f3]) ).
tff(f21,plain,
( ( ~ f0(bG7)
| ~ f0(bG3) )
& ( f0(bG7)
| f0(bG3) ) ),
inference(nnf_transformation,[],[f12]) ).
tff(f22,plain,
( ( $true = bG7 )
| ~ f1(bG6) ),
inference(cnf_transformation,[],[f13]) ).
tff(f23,plain,
( f1(bG6)
| ( $true != bG7 ) ),
inference(cnf_transformation,[],[f13]) ).
tff(f24,plain,
( ( $true = bG6 )
| ~ f1(bG5) ),
inference(cnf_transformation,[],[f14]) ).
tff(f25,plain,
( f1(bG5)
| ( $true != bG6 ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f26,plain,
( ( $true = bG5 )
| ~ f1(bG4) ),
inference(cnf_transformation,[],[f15]) ).
tff(f27,plain,
( f1(bG4)
| ( $true != bG5 ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f28,plain,
( ( $true = bG4 )
| ~ x ),
inference(cnf_transformation,[],[f16]) ).
tff(f29,plain,
( x
| ( $true != bG4 ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f30,plain,
( ( $true = bG3 )
| ~ f0(bG2) ),
inference(cnf_transformation,[],[f17]) ).
tff(f31,plain,
( f0(bG2)
| ( $true != bG3 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f32,plain,
( ( $true = bG2 )
| ~ f0(bG1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f33,plain,
( f0(bG1)
| ( $true != bG2 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f34,plain,
( ( $true = bG1 )
| ~ f1(bG0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f35,plain,
( f1(bG0)
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f36,plain,
( ( bG0 = $true )
| ~ x ),
inference(cnf_transformation,[],[f20]) ).
tff(f37,plain,
( x
| ( bG0 != $true ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f38,plain,
( f0(bG7)
| f0(bG3) ),
inference(cnf_transformation,[],[f21]) ).
tff(f39,plain,
( ~ f0(bG7)
| ~ f0(bG3) ),
inference(cnf_transformation,[],[f21]) ).
tff(f41,plain,
! [X0: $o] :
( ( $false = (X0) )
| ( $true = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f43,definition,
( spl8_1
<=> f0(bG3) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
tff(f44,plain,
( ~ f0(bG3)
| spl8_1 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f45,plain,
( f0(bG3)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f47,definition,
( spl8_2
<=> f0(bG7) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
tff(f48,plain,
( ~ f0(bG7)
| spl8_2 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f49,plain,
( f0(bG7)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f50,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f38,f47,f43]) ).
tff(f51,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f39,f47,f43]) ).
tff(f53,definition,
( spl8_3
<=> x ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
tff(f57,definition,
( spl8_4
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
tff(f59,plain,
( ( bG0 = $true )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f60,plain,
( ~ spl8_3
| spl8_4 ),
inference(avatar_split_clause,[],[f36,f57,f53]) ).
tff(f61,plain,
( ~ spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f37,f53,f57]) ).
tff(f63,definition,
( spl8_5
<=> f1(bG0) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
tff(f64,plain,
( f1(bG0)
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f63]) ).
tff(f65,plain,
( ~ f1(bG0)
| spl8_5 ),
inference(avatar_component_clause,[],[f63]) ).
tff(f67,definition,
( spl8_6
<=> ( $true = bG1 ) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
tff(f68,plain,
( ( $true != bG1 )
| spl8_6 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f69,plain,
( ( $true = bG1 )
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f70,plain,
( ~ spl8_5
| spl8_6 ),
inference(avatar_split_clause,[],[f34,f67,f63]) ).
tff(f71,plain,
( ~ spl8_6
| spl8_5 ),
inference(avatar_split_clause,[],[f35,f63,f67]) ).
tff(f73,definition,
( spl8_7
<=> f0(bG1) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
tff(f74,plain,
( f0(bG1)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f73]) ).
tff(f75,plain,
( ~ f0(bG1)
| spl8_7 ),
inference(avatar_component_clause,[],[f73]) ).
tff(f77,definition,
( spl8_8
<=> ( $true = bG2 ) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
tff(f78,plain,
( ( $true != bG2 )
| spl8_8 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f79,plain,
( ( $true = bG2 )
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f80,plain,
( ~ spl8_7
| spl8_8 ),
inference(avatar_split_clause,[],[f32,f77,f73]) ).
tff(f81,plain,
( ~ spl8_8
| spl8_7 ),
inference(avatar_split_clause,[],[f33,f73,f77]) ).
tff(f83,definition,
( spl8_9
<=> f0(bG2) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
tff(f84,plain,
( f0(bG2)
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f83]) ).
tff(f85,plain,
( ~ f0(bG2)
| spl8_9 ),
inference(avatar_component_clause,[],[f83]) ).
tff(f87,definition,
( spl8_10
<=> ( $true = bG3 ) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
tff(f89,plain,
( ( $true = bG3 )
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f87]) ).
tff(f90,plain,
( ~ spl8_9
| spl8_10 ),
inference(avatar_split_clause,[],[f30,f87,f83]) ).
tff(f91,plain,
( ~ spl8_10
| spl8_9 ),
inference(avatar_split_clause,[],[f31,f83,f87]) ).
tff(f93,definition,
( spl8_11
<=> ( $true = bG4 ) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
tff(f94,plain,
( ( $true != bG4 )
| spl8_11 ),
inference(avatar_component_clause,[],[f93]) ).
tff(f95,plain,
( ( $true = bG4 )
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f93]) ).
tff(f96,plain,
( ~ spl8_3
| spl8_11 ),
inference(avatar_split_clause,[],[f28,f93,f53]) ).
tff(f97,plain,
( ~ spl8_11
| spl8_3 ),
inference(avatar_split_clause,[],[f29,f53,f93]) ).
tff(f99,definition,
( spl8_12
<=> f1(bG4) ),
introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).
tff(f100,plain,
( f1(bG4)
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f101,plain,
( ~ f1(bG4)
| spl8_12 ),
inference(avatar_component_clause,[],[f99]) ).
tff(f103,definition,
( spl8_13
<=> ( $true = bG5 ) ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
tff(f104,plain,
( ( $true != bG5 )
| spl8_13 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f105,plain,
( ( $true = bG5 )
| ~ spl8_13 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f106,plain,
( ~ spl8_12
| spl8_13 ),
inference(avatar_split_clause,[],[f26,f103,f99]) ).
tff(f107,plain,
( ~ spl8_13
| spl8_12 ),
inference(avatar_split_clause,[],[f27,f99,f103]) ).
tff(f109,definition,
( spl8_14
<=> f1(bG5) ),
introduced(definition,[new_symbols(definition,[spl8_14])],[avatar_definition]) ).
tff(f110,plain,
( f1(bG5)
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f111,plain,
( ~ f1(bG5)
| spl8_14 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f113,definition,
( spl8_15
<=> ( $true = bG6 ) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
tff(f114,plain,
( ( $true != bG6 )
| spl8_15 ),
inference(avatar_component_clause,[],[f113]) ).
tff(f115,plain,
( ( $true = bG6 )
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f113]) ).
tff(f116,plain,
( ~ spl8_14
| spl8_15 ),
inference(avatar_split_clause,[],[f24,f113,f109]) ).
tff(f117,plain,
( ~ spl8_15
| spl8_14 ),
inference(avatar_split_clause,[],[f25,f109,f113]) ).
tff(f119,definition,
( spl8_16
<=> f1(bG6) ),
introduced(definition,[new_symbols(definition,[spl8_16])],[avatar_definition]) ).
tff(f120,plain,
( f1(bG6)
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f119]) ).
tff(f121,plain,
( ~ f1(bG6)
| spl8_16 ),
inference(avatar_component_clause,[],[f119]) ).
tff(f123,definition,
( spl8_17
<=> ( $true = bG7 ) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
tff(f124,plain,
( ( $true != bG7 )
| spl8_17 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f125,plain,
( ( $true = bG7 )
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f126,plain,
( ~ spl8_16
| spl8_17 ),
inference(avatar_split_clause,[],[f22,f123,f119]) ).
tff(f127,plain,
( ~ spl8_17
| spl8_16 ),
inference(avatar_split_clause,[],[f23,f119,f123]) ).
tff(f130,plain,
( ~ f1($false)
| ( bG0 = $true )
| spl8_5 ),
inference(superposition,[],[f65,f41]) ).
tff(f134,plain,
( ~ f0($false)
| ( $true = bG2 )
| spl8_9 ),
inference(superposition,[],[f85,f41]) ).
tff(f136,plain,
( ~ f0($false)
| ( $true = bG3 )
| spl8_1 ),
inference(superposition,[],[f44,f41]) ).
tff(f138,plain,
( ~ f1($false)
| ( $true = bG4 )
| spl8_12 ),
inference(superposition,[],[f101,f41]) ).
tff(f140,plain,
( ~ f1($false)
| ( $true = bG5 )
| spl8_14 ),
inference(superposition,[],[f111,f41]) ).
tff(f144,plain,
( f0($false)
| ( $true = bG7 )
| ~ spl8_2 ),
inference(superposition,[],[f49,f41]) ).
tff(f146,plain,
( f0($false)
| ~ spl8_2
| spl8_17 ),
inference(forward_subsumption_resolution,[],[f144,f124]) ).
tff(f148,plain,
( ~ f1($false)
| spl8_13
| spl8_14 ),
inference(forward_subsumption_resolution,[],[f140,f104]) ).
tff(f149,plain,
( ~ f1($false)
| spl8_11
| spl8_12 ),
inference(forward_subsumption_resolution,[],[f138,f94]) ).
tff(f151,plain,
( ~ f0($false)
| spl8_8
| spl8_9 ),
inference(forward_subsumption_resolution,[],[f134,f78]) ).
tff(f154,plain,
( ! [X0: $o] :
( f0((X0))
| ( $true = (X0) ) )
| ~ spl8_2
| spl8_17 ),
inference(superposition,[],[f146,f41]) ).
tff(f157,plain,
( ( $true = bG3 )
| spl8_1
| ~ spl8_2
| spl8_17 ),
inference(forward_subsumption_resolution,[],[f136,f146]) ).
tff(f158,plain,
( spl8_10
| spl8_1
| ~ spl8_2
| spl8_17 ),
inference(avatar_split_clause,[],[f157,f123,f47,f43,f87]) ).
tff(f161,plain,
( ( $true = bG1 )
| ~ spl8_2
| spl8_7
| spl8_17 ),
inference(resolution,[],[f154,f75]) ).
tff(f162,plain,
( $false
| ~ spl8_2
| spl8_6
| spl8_7
| spl8_17 ),
inference(forward_subsumption_resolution,[],[f161,f68]) ).
tff(f163,plain,
( ~ spl8_2
| spl8_6
| spl8_7
| spl8_17 ),
inference(avatar_contradiction_clause,[],[f162]) ).
tff(f165,definition,
( spl8_18
<=> f0($false) ),
introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition]) ).
tff(f166,plain,
( ~ f0($false)
| spl8_18 ),
inference(avatar_component_clause,[],[f165]) ).
tff(f172,plain,
( ~ spl8_18
| spl8_8
| spl8_9 ),
inference(avatar_split_clause,[],[f151,f83,f77,f165]) ).
tff(f177,plain,
( f1($false)
| ( $true = bG6 )
| ~ spl8_16 ),
inference(superposition,[],[f120,f41]) ).
tff(f178,plain,
( f1($false)
| spl8_15
| ~ spl8_16 ),
inference(forward_subsumption_resolution,[],[f177,f114]) ).
tff(f184,plain,
( f0($true)
| ~ spl8_2
| ~ spl8_17 ),
inference(superposition,[],[f49,f125]) ).
tff(f187,plain,
( $false
| spl8_13
| spl8_14
| spl8_15
| ~ spl8_16 ),
inference(forward_subsumption_resolution,[],[f178,f148]) ).
tff(f188,plain,
( spl8_13
| spl8_14
| spl8_15
| ~ spl8_16 ),
inference(avatar_contradiction_clause,[],[f187]) ).
tff(f190,definition,
( spl8_19
<=> f1($false) ),
introduced(definition,[new_symbols(definition,[spl8_19])],[avatar_definition]) ).
tff(f201,plain,
( spl8_4
| ~ spl8_19
| spl8_5 ),
inference(avatar_split_clause,[],[f130,f63,f190,f57]) ).
tff(f206,plain,
( ~ f1($true)
| ~ spl8_4
| spl8_5 ),
inference(superposition,[],[f65,f59]) ).
tff(f209,plain,
( f1($true)
| ~ spl8_11
| ~ spl8_12 ),
inference(superposition,[],[f100,f95]) ).
tff(f211,plain,
( $false
| ~ spl8_4
| spl8_5
| ~ spl8_11
| ~ spl8_12 ),
inference(forward_subsumption_resolution,[],[f209,f206]) ).
tff(f212,plain,
( ~ spl8_4
| spl8_5
| ~ spl8_11
| ~ spl8_12 ),
inference(avatar_contradiction_clause,[],[f211]) ).
tff(f213,plain,
( f1($true)
| ~ spl8_4
| ~ spl8_5 ),
inference(forward_demodulation,[],[f64,f59]) ).
tff(f215,plain,
( ~ f0($true)
| ~ spl8_6
| spl8_7 ),
inference(superposition,[],[f75,f69]) ).
tff(f217,plain,
( $false
| ~ spl8_2
| ~ spl8_6
| spl8_7
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f215,f184]) ).
tff(f218,plain,
( ~ spl8_2
| ~ spl8_6
| spl8_7
| ~ spl8_17 ),
inference(avatar_contradiction_clause,[],[f217]) ).
tff(f219,plain,
( ~ f0($true)
| spl8_2
| ~ spl8_17 ),
inference(forward_demodulation,[],[f48,f125]) ).
tff(f229,plain,
( f0($false)
| ( $true = bG2 )
| ~ spl8_9 ),
inference(superposition,[],[f84,f41]) ).
tff(f233,plain,
( f0($true)
| ~ spl8_1
| ~ spl8_10 ),
inference(superposition,[],[f45,f89]) ).
tff(f235,plain,
( $false
| ~ spl8_1
| spl8_2
| ~ spl8_10
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f233,f219]) ).
tff(f236,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_10
| ~ spl8_17 ),
inference(avatar_contradiction_clause,[],[f235]) ).
tff(f241,plain,
( f0($true)
| ~ spl8_6
| ~ spl8_7 ),
inference(forward_demodulation,[],[f74,f69]) ).
tff(f242,plain,
( spl8_8
| spl8_18
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f229,f83,f165,f77]) ).
tff(f247,plain,
( f0($true)
| ~ spl8_8
| ~ spl8_9 ),
inference(superposition,[],[f84,f79]) ).
tff(f254,plain,
( f1($true)
| ~ spl8_13
| ~ spl8_14 ),
inference(superposition,[],[f110,f105]) ).
tff(f257,plain,
( ~ f1($true)
| ~ spl8_15
| spl8_16 ),
inference(superposition,[],[f121,f115]) ).
tff(f259,plain,
( $false
| ~ spl8_4
| ~ spl8_5
| ~ spl8_15
| spl8_16 ),
inference(forward_subsumption_resolution,[],[f257,f213]) ).
tff(f260,plain,
( ~ spl8_4
| ~ spl8_5
| ~ spl8_15
| spl8_16 ),
inference(avatar_contradiction_clause,[],[f259]) ).
tff(f261,plain,
( ~ f1($true)
| ~ spl8_13
| spl8_14 ),
inference(forward_demodulation,[],[f111,f105]) ).
tff(f262,plain,
( $false
| ~ spl8_4
| ~ spl8_5
| ~ spl8_13
| spl8_14 ),
inference(forward_subsumption_resolution,[],[f261,f213]) ).
tff(f263,plain,
( ~ spl8_4
| ~ spl8_5
| ~ spl8_13
| spl8_14 ),
inference(avatar_contradiction_clause,[],[f262]) ).
tff(f264,plain,
( ~ f1($true)
| ~ spl8_11
| spl8_12 ),
inference(forward_demodulation,[],[f101,f95]) ).
tff(f265,plain,
( $false
| ~ spl8_4
| ~ spl8_5
| ~ spl8_11
| spl8_12 ),
inference(forward_subsumption_resolution,[],[f264,f213]) ).
tff(f266,plain,
( ~ spl8_4
| ~ spl8_5
| ~ spl8_11
| spl8_12 ),
inference(avatar_contradiction_clause,[],[f265]) ).
tff(f269,plain,
( f0($false)
| ( $true = bG1 )
| ~ spl8_7 ),
inference(superposition,[],[f74,f41]) ).
tff(f272,plain,
( ~ f0($true)
| spl8_1
| ~ spl8_10 ),
inference(forward_demodulation,[],[f44,f89]) ).
tff(f273,plain,
( spl8_6
| spl8_18
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f269,f73,f165,f67]) ).
tff(f279,plain,
( $false
| spl8_1
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10 ),
inference(forward_subsumption_resolution,[],[f247,f272]) ).
tff(f280,plain,
( spl8_1
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10 ),
inference(avatar_contradiction_clause,[],[f279]) ).
tff(f281,plain,
( ~ f0($true)
| ~ spl8_8
| spl8_9 ),
inference(forward_demodulation,[],[f85,f79]) ).
tff(f284,plain,
( ~ f0($false)
| ( $true = bG7 )
| spl8_2 ),
inference(superposition,[],[f48,f41]) ).
tff(f299,plain,
( f1($true)
| ~ spl8_15
| ~ spl8_16 ),
inference(superposition,[],[f120,f115]) ).
tff(f301,plain,
( $false
| ~ spl8_11
| spl8_12
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_subsumption_resolution,[],[f299,f264]) ).
tff(f302,plain,
( ~ spl8_11
| spl8_12
| ~ spl8_15
| ~ spl8_16 ),
inference(avatar_contradiction_clause,[],[f301]) ).
tff(f303,plain,
( $false
| spl8_2
| ~ spl8_6
| ~ spl8_7
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f241,f219]) ).
tff(f304,plain,
( spl8_2
| ~ spl8_6
| ~ spl8_7
| ~ spl8_17 ),
inference(avatar_contradiction_clause,[],[f303]) ).
tff(f310,plain,
( ~ spl8_19
| spl8_11
| spl8_12 ),
inference(avatar_split_clause,[],[f149,f99,f93,f190]) ).
tff(f312,plain,
( spl8_17
| ~ spl8_18
| spl8_2 ),
inference(avatar_split_clause,[],[f284,f47,f165,f123]) ).
tff(f315,plain,
( ! [X0: $o] :
( ~ f0((X0))
| ( $true = (X0) ) )
| spl8_18 ),
inference(superposition,[],[f166,f41]) ).
tff(f318,plain,
( ( $true = bG3 )
| ~ spl8_1
| spl8_18 ),
inference(resolution,[],[f315,f45]) ).
tff(f319,plain,
( spl8_10
| ~ spl8_1
| spl8_18 ),
inference(avatar_split_clause,[],[f318,f165,f43,f87]) ).
tff(f324,plain,
( f1($false)
| ( bG0 = $true )
| ~ spl8_5 ),
inference(superposition,[],[f64,f41]) ).
tff(f325,plain,
( spl8_4
| spl8_19
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f324,f63,f190,f57]) ).
tff(f331,plain,
( f1($false)
| ( $true = bG6 )
| ~ spl8_16 ),
inference(superposition,[],[f120,f41]) ).
tff(f332,plain,
( spl8_15
| spl8_19
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f331,f119,f190,f113]) ).
tff(f334,plain,
( $false
| ~ spl8_2
| ~ spl8_8
| spl8_9
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f281,f184]) ).
tff(f335,plain,
( ~ spl8_2
| ~ spl8_8
| spl8_9
| ~ spl8_17 ),
inference(avatar_contradiction_clause,[],[f334]) ).
tff(f341,plain,
( ~ f1($false)
| ( $true = bG6 )
| spl8_16 ),
inference(superposition,[],[f121,f41]) ).
tff(f342,plain,
( spl8_15
| ~ spl8_19
| spl8_16 ),
inference(avatar_split_clause,[],[f341,f119,f190,f113]) ).
tff(f344,plain,
( f1($false)
| ( $true = bG4 )
| ~ spl8_12 ),
inference(superposition,[],[f100,f41]) ).
tff(f345,plain,
( spl8_11
| spl8_19
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f344,f99,f190,f93]) ).
tff(f349,plain,
( f1($false)
| ( $true = bG5 )
| ~ spl8_14 ),
inference(superposition,[],[f110,f41]) ).
tff(f350,plain,
( spl8_13
| spl8_19
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f349,f109,f190,f103]) ).
tff(f356,plain,
( $false
| ~ spl8_13
| ~ spl8_14
| ~ spl8_15
| spl8_16 ),
inference(forward_subsumption_resolution,[],[f257,f254]) ).
tff(f357,plain,
( ~ spl8_13
| ~ spl8_14
| ~ spl8_15
| spl8_16 ),
inference(avatar_contradiction_clause,[],[f356]) ).
cnf(s1,plain,
( spl8_1
| spl8_2 ),
inference(sat_conversion,[],[f50]) ).
cnf(s2,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f51]) ).
cnf(s3,plain,
( ~ spl8_3
| spl8_4 ),
inference(sat_conversion,[],[f60]) ).
cnf(s4,plain,
( spl8_3
| ~ spl8_4 ),
inference(sat_conversion,[],[f61]) ).
cnf(s5,plain,
( ~ spl8_5
| spl8_6 ),
inference(sat_conversion,[],[f70]) ).
cnf(s6,plain,
( spl8_5
| ~ spl8_6 ),
inference(sat_conversion,[],[f71]) ).
cnf(s7,plain,
( ~ spl8_7
| spl8_8 ),
inference(sat_conversion,[],[f80]) ).
cnf(s8,plain,
( spl8_7
| ~ spl8_8 ),
inference(sat_conversion,[],[f81]) ).
cnf(s9,plain,
( ~ spl8_9
| spl8_10 ),
inference(sat_conversion,[],[f90]) ).
cnf(s10,plain,
( spl8_9
| ~ spl8_10 ),
inference(sat_conversion,[],[f91]) ).
cnf(s11,plain,
( ~ spl8_3
| spl8_11 ),
inference(sat_conversion,[],[f96]) ).
cnf(s12,plain,
( spl8_3
| ~ spl8_11 ),
inference(sat_conversion,[],[f97]) ).
cnf(s13,plain,
( ~ spl8_12
| spl8_13 ),
inference(sat_conversion,[],[f106]) ).
cnf(s14,plain,
( spl8_12
| ~ spl8_13 ),
inference(sat_conversion,[],[f107]) ).
cnf(s15,plain,
( ~ spl8_14
| spl8_15 ),
inference(sat_conversion,[],[f116]) ).
cnf(s16,plain,
( spl8_14
| ~ spl8_15 ),
inference(sat_conversion,[],[f117]) ).
cnf(s17,plain,
( ~ spl8_16
| spl8_17 ),
inference(sat_conversion,[],[f126]) ).
cnf(s18,plain,
( spl8_16
| ~ spl8_17 ),
inference(sat_conversion,[],[f127]) ).
cnf(s20,plain,
( spl8_1
| ~ spl8_2
| spl8_10
| spl8_17 ),
inference(sat_conversion,[],[f158]) ).
cnf(s21,plain,
( ~ spl8_2
| spl8_6
| spl8_7
| spl8_17 ),
inference(sat_conversion,[],[f163]) ).
cnf(s26,plain,
( spl8_8
| spl8_9
| ~ spl8_18 ),
inference(sat_conversion,[],[f172]) ).
cnf(s30,plain,
( spl8_13
| spl8_14
| spl8_15
| ~ spl8_16 ),
inference(sat_conversion,[],[f188]) ).
cnf(s37,plain,
( spl8_4
| spl8_5
| ~ spl8_19 ),
inference(sat_conversion,[],[f201]) ).
cnf(s39,plain,
( ~ spl8_4
| spl8_5
| ~ spl8_11
| ~ spl8_12 ),
inference(sat_conversion,[],[f212]) ).
cnf(s40,plain,
( ~ spl8_2
| ~ spl8_6
| spl8_7
| ~ spl8_17 ),
inference(sat_conversion,[],[f218]) ).
cnf(s45,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_10
| ~ spl8_17 ),
inference(sat_conversion,[],[f236]) ).
cnf(s48,plain,
( spl8_8
| ~ spl8_9
| spl8_18 ),
inference(sat_conversion,[],[f242]) ).
cnf(s50,plain,
( ~ spl8_4
| ~ spl8_5
| ~ spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f260]) ).
cnf(s51,plain,
( ~ spl8_4
| ~ spl8_5
| ~ spl8_13
| spl8_14 ),
inference(sat_conversion,[],[f263]) ).
cnf(s52,plain,
( ~ spl8_4
| ~ spl8_5
| ~ spl8_11
| spl8_12 ),
inference(sat_conversion,[],[f266]) ).
cnf(s56,plain,
( spl8_6
| ~ spl8_7
| spl8_18 ),
inference(sat_conversion,[],[f273]) ).
cnf(s58,plain,
( spl8_1
| ~ spl8_8
| ~ spl8_9
| ~ spl8_10 ),
inference(sat_conversion,[],[f280]) ).
cnf(s63,plain,
( ~ spl8_11
| spl8_12
| ~ spl8_15
| ~ spl8_16 ),
inference(sat_conversion,[],[f302]) ).
cnf(s64,plain,
( spl8_2
| ~ spl8_6
| ~ spl8_7
| ~ spl8_17 ),
inference(sat_conversion,[],[f304]) ).
cnf(s68,plain,
( spl8_11
| spl8_12
| ~ spl8_19 ),
inference(sat_conversion,[],[f310]) ).
cnf(s70,plain,
( spl8_2
| spl8_17
| ~ spl8_18 ),
inference(sat_conversion,[],[f312]) ).
cnf(s72,plain,
( ~ spl8_1
| spl8_10
| spl8_18 ),
inference(sat_conversion,[],[f319]) ).
cnf(s74,plain,
( spl8_4
| ~ spl8_5
| spl8_19 ),
inference(sat_conversion,[],[f325]) ).
cnf(s78,plain,
( spl8_15
| ~ spl8_16
| spl8_19 ),
inference(sat_conversion,[],[f332]) ).
cnf(s79,plain,
( ~ spl8_2
| ~ spl8_8
| spl8_9
| ~ spl8_17 ),
inference(sat_conversion,[],[f335]) ).
cnf(s82,plain,
( spl8_15
| spl8_16
| ~ spl8_19 ),
inference(sat_conversion,[],[f342]) ).
cnf(s83,plain,
( spl8_11
| ~ spl8_12
| spl8_19 ),
inference(sat_conversion,[],[f345]) ).
cnf(s84,plain,
( spl8_13
| ~ spl8_14
| spl8_19 ),
inference(sat_conversion,[],[f350]) ).
cnf(s85,plain,
( ~ spl8_13
| ~ spl8_14
| ~ spl8_15
| spl8_16 ),
inference(sat_conversion,[],[f357]) ).
cnf(s86,plain,
( spl8_5
| spl8_3
| spl8_1 ),
inference(rat,[],[s58,s7,s10,s21,s20,s18,s78,s16,s84,s14,s83,s6,s37,s1,s12,s4]) ).
cnf(s87,plain,
( ~ spl8_9
| ~ spl8_8
| spl8_1 ),
inference(rat,[],[s58,s9]) ).
cnf(s88,plain,
( ~ spl8_8
| spl8_1 ),
inference(rat,[],[s20,s79,s10,s87,s1]) ).
cnf(s89,plain,
( spl8_3
| spl8_1 ),
inference(rat,[],[s85,s16,s82,s17,s40,s13,s68,s5,s74,s86,s4,s12,s1,s7,s88]) ).
cnf(s90,plain,
( spl8_17
| spl8_1 ),
inference(rat,[],[s51,s15,s13,s50,s52,s6,s21,s17,s1,s7,s88,s11,s3,s89]) ).
cnf(s91,plain,
( spl8_12
| ~ spl8_16
| ~ spl8_11 ),
inference(rat,[],[s30,s15,s14,s63]) ).
cnf(s92,plain,
spl8_1,
inference(rat,[],[s91,s39,s5,s40,s18,s90,s3,s11,s89,s7,s88,s1]) ).
cnf(s93,plain,
~ spl8_2,
inference(rat,[],[s2,s92]) ).
cnf(s94,plain,
( ~ spl8_12
| spl8_11
| ~ spl8_7 ),
inference(rat,[],[s85,s16,s82,s17,s64,s5,s37,s83,s13,s4,s11,s93]) ).
cnf(s95,plain,
( spl8_11
| ~ spl8_7 ),
inference(rat,[],[s70,s18,s56,s78,s6,s16,s74,s84,s68,s14,s94,s4,s11,s93]) ).
cnf(s96,plain,
( ~ spl8_12
| ~ spl8_7 ),
inference(rat,[],[s17,s50,s64,s15,s5,s51,s39,s13,s3,s12,s95,s93]) ).
cnf(s97,plain,
~ spl8_7,
inference(rat,[],[s56,s70,s6,s18,s52,s91,s96,s3,s12,s95,s93]) ).
cnf(s98,plain,
~ spl8_8,
inference(rat,[],[s8,s97]) ).
cnf(s99,plain,
spl8_10,
inference(rat,[],[s26,s9,s72,s98,s92]) ).
cnf(s100,plain,
spl8_9,
inference(rat,[],[s10,s99]) ).
cnf(s101,plain,
~ spl8_17,
inference(rat,[],[s45,s92,s93,s99]) ).
cnf(s102,plain,
spl8_18,
inference(rat,[],[s48,s98,s100]) ).
cnf(s104,plain,
$false,
inference(rat,[],[s70,s93,s101,s102]) ).
tff(f358,plain,
$false,
inference(avatar_sat_refutation,[],[s104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500_8.002 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n006.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 17:46:10 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.06/1.08 % (4191493)Detected formulas, will run a generic FOF schedule.
% 3.06/1.08 % (4191548)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1550399161:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 3.06/1.08 % (4191548)Refutation not found, incomplete strategy
% 3.06/1.08 % (4191548)------------------------------
% 3.06/1.08 % (4191548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.08 % (4191548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.08 % (4191548)CaDiCaL version: 2.1.3
% 3.06/1.08 % (4191548)Termination reason: Refutation not found, incomplete strategy
% 3.06/1.08 % (4191548)Time elapsed: 0.001 s
% 3.06/1.08 % (4191548)Peak memory usage: 88 MB
% 3.06/1.08 % (4191548)Instructions burned: 1 (million)
% 3.06/1.08 % (4191546)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=1807664564:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 3.06/1.08 % (4191545)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=2906691047:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 3.06/1.08 % (4191550)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=727976204:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 3.06/1.08 % (4191549)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2588246417:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 3.06/1.08 % (4191547)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=1889882749:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 3.06/1.08 % (4191551)dis-21_1_sil=8000:lcm=predicate:random_seed=4041867233:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 3.06/1.08 % (4191551)Refutation not found, incomplete strategy
% 3.06/1.08 % (4191551)------------------------------
% 3.06/1.08 % (4191551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.08 % (4191551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.08 % (4191551)CaDiCaL version: 2.1.3
% 3.06/1.08 % (4191551)Termination reason: Refutation not found, incomplete strategy
% 3.06/1.08 % (4191551)Time elapsed: 0.002 s
% 3.06/1.08 % (4191551)Peak memory usage: 88 MB
% 3.06/1.08 % (4191551)Instructions burned: 1 (million)
% 3.06/1.08 % (4191550)First to succeed.
% 3.06/1.08 % (4191550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4191493"
% 3.06/1.08 % (4191549)Instruction limit reached!
% 3.06/1.08 % (4191549)------------------------------
% 3.06/1.08 % (4191549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.08 % (4191549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.08 % (4191549)CaDiCaL version: 2.1.3
% 3.06/1.08 % (4191549)Termination reason: Instruction limit
% 3.06/1.08 % (4191549)Termination phase: Saturation
% 3.06/1.08 % (4191549)Time elapsed: 0.060 s
% 3.06/1.08 % (4191549)Peak memory usage: 88 MB
% 3.06/1.08 % (4191549)Instructions burned: 120 (million)
% 3.06/1.08 % (4191548)------------------------------
% 3.06/1.08 % (4191548)------------------------------
% 3.06/1.08 % (4191560)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1992485589:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.06/1.08 % (4191559)lrs+10_1_sil=8000:sp=occurrence:random_seed=947643229:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.06/1.08 % (4191559)Also succeeded, but the first one will report.
% 3.06/1.08 % (4191560)Instruction limit reached!
% 3.06/1.08 % (4191560)------------------------------
% 3.06/1.08 % (4191560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.08 % (4191560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.08 % (4191560)CaDiCaL version: 2.1.3
% 3.06/1.08 % (4191560)Termination reason: Instruction limit
% 3.06/1.08 % (4191560)Termination phase: Saturation
% 3.06/1.08 % (4191560)Time elapsed: 0.037 s
% 3.06/1.08 % (4191560)Peak memory usage: 89 MB
% 3.06/1.08 % (4191560)Instructions burned: 159 (million)
% 3.06/1.08 % (4191551)------------------------------
% 3.06/1.08 % (4191551)------------------------------
% 3.06/1.08 % (4191550)Refutation found. Thanks to Tanya!
% 3.06/1.08 % SZS status Theorem for theBenchmark
% 3.06/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.28 % (4191550)------------------------------
% 3.61/1.28 % (4191550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.28 % (4191550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.28 % (4191550)CaDiCaL version: 2.1.3
% 3.61/1.28 % (4191550)Termination reason: Refutation
% 3.61/1.28 % (4191550)Time elapsed: 0.010 s
% 3.61/1.28 % (4191550)Peak memory usage: 90 MB
% 3.61/1.28 % (4191550)Instructions burned: 11 (million)
% 3.61/1.28 % (4191550)------------------------------
% 3.61/1.28 % (4191550)------------------------------
% 3.61/1.28 % (4191493)Success in time 0.417 s
% 3.61/1.28 % Vampire exiting
%------------------------------------------------------------------------------