%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV416^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 : Wed Sep 30 08:39:29 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 105 ( 9 unt; 0 typ; 6 def)
% Number of atoms : 873 ( 197 equ; 0 cnn)
% Maximal formula atoms : 11 ( 8 avg)
% Number of connectives : 572 ( 138 ~; 194 |; 24 &; 178 @)
% ( 6 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 12 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 21 !; 9 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cG: $o ).
thf(func_def_1,type,
cB: $i > $o ).
thf(func_def_2,type,
cA: $i > $o ).
thf(f1,conjecture,
( ( ( ! [X0: $i] :
( ( cA @ X0 )
=> ( cB @ X0 ) )
=> cG )
| ( ( ! [X0: $i] :
( ( cA @ X0 )
=> ( cB @ X0 ) )
& ! [X0: $i] :
( ( cA @ X0 )
=> ( cB @ X0 ) ) )
=> cG ) )
=> ( ! [X0: $i] :
( ( cA @ X0 )
=> ( cB @ X0 ) )
=> cG ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDUAL_EG3_pme) ).
thf(f2,negated_conjecture,
~ ( ( ( ! [X0: $i] :
( ( cA @ X0 )
=> ( cB @ X0 ) )
=> cG )
| ( ( ! [X0: $i] :
( ( cA @ X0 )
=> ( cB @ X0 ) )
& ! [X0: $i] :
( ( cA @ X0 )
=> ( cB @ X0 ) ) )
=> cG ) )
=> ( ! [X0: $i] :
( ( cA @ X0 )
=> ( cB @ X0 ) )
=> cG ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ( ! [X0: $i] :
( ( cA @ X0 )
=> ( cB @ X0 ) )
=> cG )
| ( ( ! [X1: $i] :
( ( cA @ X1 )
=> ( cB @ X1 ) )
& ! [X2: $i] :
( ( cA @ X2 )
=> ( cB @ X2 ) ) )
=> cG ) )
=> ( ! [X3: $i] :
( ( cA @ X3 )
=> ( cB @ X3 ) )
=> cG ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( ! [X0: $i] :
( ( ( cA @ X0 )
= $true )
=> ( ( cB @ X0 )
= $true ) )
=> ( cG = $true ) )
| ( ( ! [X1: $i] :
( ( ( cA @ X1 )
= $true )
=> ( ( cB @ X1 )
= $true ) )
& ! [X2: $i] :
( ( ( cA @ X2 )
= $true )
=> ( ( cB @ X2 )
= $true ) ) )
=> ( cG = $true ) ) )
=> ( ! [X3: $i] :
( ( ( cA @ X3 )
= $true )
=> ( ( cB @ X3 )
= $true ) )
=> ( cG = $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( cG != $true )
& ! [X3: $i] :
( ( ( cB @ X3 )
= $true )
| ( ( cA @ X3 )
!= $true ) )
& ( ( cG = $true )
| ? [X0: $i] :
( ( ( cB @ X0 )
!= $true )
& ( ( cA @ X0 )
= $true ) )
| ( cG = $true )
| ? [X1: $i] :
( ( ( cB @ X1 )
!= $true )
& ( ( cA @ X1 )
= $true ) )
| ? [X2: $i] :
( ( ( cB @ X2 )
!= $true )
& ( ( cA @ X2 )
= $true ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( cG != $true )
& ! [X3: $i] :
( ( ( cB @ X3 )
= $true )
| ( ( cA @ X3 )
!= $true ) )
& ( ( cG = $true )
| ? [X0: $i] :
( ( ( cB @ X0 )
!= $true )
& ( ( cA @ X0 )
= $true ) )
| ( cG = $true )
| ? [X1: $i] :
( ( ( cB @ X1 )
!= $true )
& ( ( cA @ X1 )
= $true ) )
| ? [X2: $i] :
( ( ( cB @ X2 )
!= $true )
& ( ( cA @ X2 )
= $true ) ) ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ( cG != $true )
& ! [X0: $i] :
( ( ( cB @ X0 )
= $true )
| ( ( cA @ X0 )
!= $true ) )
& ( ( cG = $true )
| ? [X1: $i] :
( ( ( cB @ X1 )
!= $true )
& ( ( cA @ X1 )
= $true ) )
| ( cG = $true )
| ? [X2: $i] :
( ( ( cB @ X2 )
!= $true )
& ( ( cA @ X2 )
= $true ) )
| ? [X3: $i] :
( ( ( cB @ X3 )
!= $true )
& ( ( cA @ X3 )
= $true ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
( ( cG != $true )
& ! [X0: $i] :
( ( ( cB @ X0 )
= $true )
| ( ( cA @ X0 )
!= $true ) )
& ( ( cG = $true )
| ( ( $true
!= ( cB @ sK0 ) )
& ( $true
= ( cA @ sK0 ) ) )
| ( cG = $true )
| ( ( $true
!= ( cB @ sK1 ) )
& ( $true
= ( cA @ sK1 ) ) )
| ( ( $true
!= ( cB @ sK2 ) )
& ( $true
= ( cA @ sK2 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0),skolemize(X2,sK1),skolemize(X3,sK2)],[f7]) ).
thf(f9,plain,
( ( cG = $true )
| ( $true
= ( cA @ sK0 ) )
| ( cG = $true )
| ( $true
= ( cA @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f10,plain,
( ( cG = $true )
| ( $true
= ( cA @ sK0 ) )
| ( cG = $true )
| ( $true
= ( cA @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f11,plain,
( ( cG = $true )
| ( $true
= ( cA @ sK0 ) )
| ( cG = $true )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f12,plain,
( ( cG = $true )
| ( $true
= ( cA @ sK0 ) )
| ( cG = $true )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f13,plain,
( ( cG = $true )
| ( $true
!= ( cB @ sK0 ) )
| ( cG = $true )
| ( $true
= ( cA @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f14,plain,
( ( cG = $true )
| ( $true
!= ( cB @ sK0 ) )
| ( cG = $true )
| ( $true
= ( cA @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f15,plain,
( ( cG = $true )
| ( $true
!= ( cB @ sK0 ) )
| ( cG = $true )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f16,plain,
( ( cG = $true )
| ( $true
!= ( cB @ sK0 ) )
| ( cG = $true )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f17,plain,
! [X0: $i] :
( ( ( cA @ X0 )
!= $true )
| ( ( cB @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f18,plain,
cG != $true,
inference(cnf_transformation,[],[f8]) ).
thf(f21,plain,
( ( cG = $true )
| ( $true
= ( cA @ sK0 ) )
| ( $true
= ( cA @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f9]) ).
thf(f22,plain,
( ( cG = $true )
| ( $true
= ( cA @ sK0 ) )
| ( $true
= ( cA @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f10]) ).
thf(f23,plain,
( ( cG = $true )
| ( $true
= ( cA @ sK0 ) )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f11]) ).
thf(f24,plain,
( ( cG = $true )
| ( $true
= ( cA @ sK0 ) )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f12]) ).
thf(f25,plain,
( ( cG = $true )
| ( $true
!= ( cB @ sK0 ) )
| ( $true
= ( cA @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f13]) ).
thf(f26,plain,
( ( cG = $true )
| ( $true
!= ( cB @ sK0 ) )
| ( $true
= ( cA @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f14]) ).
thf(f27,plain,
( ( cG = $true )
| ( $true
!= ( cB @ sK0 ) )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f15]) ).
thf(f28,plain,
( ( cG = $true )
| ( $true
!= ( cB @ sK0 ) )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f16]) ).
thf(f35,plain,
( ( $true
= ( cA @ sK0 ) )
| ( $true
= ( cA @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(forward_subsumption_resolution,[],[f21,f18]) ).
thf(f41,definition,
( spl3_3
<=> ( $true
= ( cA @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
thf(f42,plain,
( ( $true
!= ( cA @ sK2 ) )
| spl3_3 ),
inference(avatar_component_clause,[],[f41]) ).
thf(f43,plain,
( ( $true
= ( cA @ sK2 ) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f41]) ).
thf(f45,definition,
( spl3_4
<=> ( $true
= ( cA @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
thf(f46,plain,
( ( $true
!= ( cA @ sK1 ) )
| spl3_4 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f47,plain,
( ( $true
= ( cA @ sK1 ) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f49,definition,
( spl3_5
<=> ( $true
= ( cA @ sK0 ) ) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
thf(f50,plain,
( ( $true
!= ( cA @ sK0 ) )
| spl3_5 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f51,plain,
( ( $true
= ( cA @ sK0 ) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f52,plain,
( spl3_3
| spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f35,f49,f45,f41]) ).
thf(f53,plain,
( ( $true != $true )
| ( $true
= ( cB @ sK2 ) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f17,f43]) ).
thf(f54,plain,
( ( $true
= ( cB @ sK2 ) )
| ~ spl3_3 ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f55,plain,
( ( $true
= ( cA @ sK0 ) )
| ( $true
= ( cA @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(forward_subsumption_resolution,[],[f22,f18]) ).
thf(f58,plain,
( ( $true != $true )
| ( $true
= ( cB @ sK1 ) )
| ~ spl3_4 ),
inference(constrained_superposition,[],[f17,f47]) ).
thf(f59,plain,
( ( $true
= ( cB @ sK1 ) )
| ~ spl3_4 ),
inference(trivial_inequality_removal,[],[f58]) ).
thf(f60,plain,
( ( $true
= ( cA @ sK0 ) )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(forward_subsumption_resolution,[],[f24,f18]) ).
thf(f64,plain,
( ( $true != $true )
| ( $true
= ( cB @ sK0 ) )
| ~ spl3_5 ),
inference(constrained_superposition,[],[f17,f51]) ).
thf(f65,plain,
( ( $true
= ( cB @ sK0 ) )
| ~ spl3_5 ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f66,plain,
( ( $true
!= ( cB @ sK0 ) )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(forward_subsumption_resolution,[],[f28,f18]) ).
thf(f72,definition,
( spl3_6
<=> ( $true
= ( cB @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
thf(f73,plain,
( ( $true
= ( cB @ sK2 ) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f74,plain,
( ( $true
!= ( cB @ sK2 ) )
| spl3_6 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f76,definition,
( spl3_7
<=> ( $true
= ( cB @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
thf(f77,plain,
( ( $true
= ( cB @ sK1 ) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f80,definition,
( spl3_8
<=> ( $true
= ( cB @ sK0 ) ) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
thf(f81,plain,
( ( $true
= ( cB @ sK0 ) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f83,plain,
( ~ spl3_6
| ~ spl3_7
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f66,f80,f76,f72]) ).
thf(f84,plain,
( $false
| ~ spl3_3
| spl3_6 ),
inference(forward_subsumption_resolution,[],[f54,f74]) ).
thf(f85,plain,
( ~ spl3_3
| spl3_6 ),
inference(avatar_contradiction_clause,[],[f84]) ).
thf(f86,plain,
( ( $true
!= ( cB @ sK0 ) )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(forward_subsumption_resolution,[],[f27,f18]) ).
thf(f87,plain,
( spl3_7
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f59,f45,f76]) ).
thf(f88,plain,
( spl3_8
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f65,f49,f80]) ).
thf(f89,plain,
( ( $true
!= ( cB @ sK1 ) )
| ( $true
= ( cA @ sK2 ) )
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f86,f81]) ).
thf(f90,plain,
( ( $true
= ( cA @ sK2 ) )
| ~ spl3_7
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f89,f77]) ).
thf(f91,plain,
( $false
| spl3_3
| ~ spl3_7
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f90,f42]) ).
thf(f92,plain,
( spl3_3
| ~ spl3_7
| ~ spl3_8 ),
inference(avatar_contradiction_clause,[],[f91]) ).
thf(f94,plain,
( ( $true
= ( cA @ sK0 ) )
| ( $true
!= ( cB @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(forward_subsumption_resolution,[],[f23,f18]) ).
thf(f96,plain,
( ( $true
= ( cA @ sK0 ) )
| ( $true
= ( cA @ sK2 ) )
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f94,f77]) ).
thf(f97,plain,
( ( $true
= ( cA @ sK0 ) )
| spl3_3
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f96,f42]) ).
thf(f98,plain,
( $false
| spl3_3
| spl3_5
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f97,f50]) ).
thf(f99,plain,
( spl3_3
| spl3_5
| ~ spl3_7 ),
inference(avatar_contradiction_clause,[],[f98]) ).
thf(f100,plain,
( ( $true
!= ( cB @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) )
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f60,f50]) ).
thf(f102,plain,
( ( $true
!= ( cB @ sK2 ) )
| spl3_5
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f100,f77]) ).
thf(f103,plain,
( ~ spl3_6
| spl3_5
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f102,f76,f49,f72]) ).
thf(f105,plain,
( ( $true
= ( cA @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) )
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f55,f50]) ).
thf(f108,plain,
( ( $true
!= ( cB @ sK2 ) )
| spl3_4
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f105,f46]) ).
thf(f109,plain,
( $false
| spl3_4
| spl3_5
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f108,f73]) ).
thf(f110,plain,
( spl3_4
| spl3_5
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f109]) ).
thf(f111,plain,
( ( $true
!= ( cB @ sK0 ) )
| ( $true
= ( cA @ sK1 ) )
| ( $true
!= ( cB @ sK2 ) ) ),
inference(forward_subsumption_resolution,[],[f26,f18]) ).
thf(f113,plain,
( ( $true
!= ( cB @ sK0 ) )
| ( $true
!= ( cB @ sK2 ) )
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f111,f46]) ).
thf(f115,plain,
( ( $true
!= ( cB @ sK0 ) )
| spl3_4
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f113,f73]) ).
thf(f116,plain,
( ~ spl3_8
| spl3_4
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f115,f72,f45,f80]) ).
thf(f117,plain,
( ( $true
!= ( cB @ sK0 ) )
| ( $true
= ( cA @ sK1 ) )
| ( $true
= ( cA @ sK2 ) ) ),
inference(forward_subsumption_resolution,[],[f25,f18]) ).
thf(f118,plain,
( ( $true
!= ( cB @ sK0 ) )
| ( $true
= ( cA @ sK2 ) )
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f117,f46]) ).
thf(f121,plain,
( ( $true
= ( cA @ sK2 ) )
| spl3_4
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f118,f81]) ).
thf(f122,plain,
( $false
| spl3_3
| spl3_4
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f121,f42]) ).
thf(f123,plain,
( spl3_3
| spl3_4
| ~ spl3_8 ),
inference(avatar_contradiction_clause,[],[f122]) ).
cnf(s23,plain,
( spl3_3
| spl3_4
| spl3_5 ),
inference(sat_conversion,[],[f52]) ).
cnf(s42,plain,
( ~ spl3_6
| ~ spl3_7
| ~ spl3_8 ),
inference(sat_conversion,[],[f83]) ).
cnf(s45,plain,
( ~ spl3_3
| spl3_6 ),
inference(sat_conversion,[],[f85]) ).
cnf(s50,plain,
( ~ spl3_4
| spl3_7 ),
inference(sat_conversion,[],[f87]) ).
cnf(s54,plain,
( ~ spl3_5
| spl3_8 ),
inference(sat_conversion,[],[f88]) ).
cnf(s57,plain,
( spl3_3
| ~ spl3_7
| ~ spl3_8 ),
inference(sat_conversion,[],[f92]) ).
cnf(s64,plain,
( spl3_3
| spl3_5
| ~ spl3_7 ),
inference(sat_conversion,[],[f99]) ).
cnf(s70,plain,
( spl3_5
| ~ spl3_6
| ~ spl3_7 ),
inference(sat_conversion,[],[f103]) ).
cnf(s81,plain,
( spl3_4
| spl3_5
| ~ spl3_6 ),
inference(sat_conversion,[],[f110]) ).
cnf(s87,plain,
( spl3_4
| ~ spl3_6
| ~ spl3_8 ),
inference(sat_conversion,[],[f116]) ).
cnf(s98,plain,
( spl3_3
| spl3_4
| ~ spl3_8 ),
inference(sat_conversion,[],[f123]) ).
cnf(s99,plain,
( spl3_4
| spl3_3 ),
inference(rat,[],[s54,s23,s98]) ).
cnf(s100,plain,
( ~ spl3_7
| spl3_3 ),
inference(rat,[],[s54,s57,s64]) ).
cnf(s101,plain,
spl3_3,
inference(rat,[],[s100,s50,s99]) ).
cnf(s102,plain,
spl3_6,
inference(rat,[],[s45,s101]) ).
cnf(s103,plain,
~ spl3_8,
inference(rat,[],[s50,s87,s42,s102]) ).
cnf(s104,plain,
~ spl3_5,
inference(rat,[],[s54,s103]) ).
cnf(s105,plain,
~ spl3_7,
inference(rat,[],[s70,s102,s104]) ).
cnf(s106,plain,
spl3_4,
inference(rat,[],[s81,s102,s104]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s50,s105,s106]) ).
thf(f124,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV416^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n003.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 15:47:29 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.19/0.27 % (2663498)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (2663505)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4079978849:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (2663504)% WARNING: option uhcvi not known.
% 0.19/0.27 % (2663505) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2663498-2663505"...
% 0.19/0.27 % (2663505)...printing done.
% 0.19/0.27 % (2663505)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (2663505)------------------------------
% 0.19/0.27 % (2663505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2663505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2663505)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2663505)Termination reason: Refutation
% 0.19/0.27 % (2663505)Time elapsed: 0.004 s
% 0.19/0.27 % (2663505)Peak memory usage: 12 MB
% 0.19/0.27 % (2663505)Instructions burned: 9 (million)
% 0.19/0.27 % (2663498)Success in time 0.033 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------