%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR146^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 07:47:10 AM UTC 2026
% Result : Theorem 0.20s 0.26s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 75 ( 19 unt; 0 typ; 4 def)
% Number of atoms : 355 ( 76 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 310 ( 57 ~; 52 |; 4 &; 188 @)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 92 ( 31 sgn 54 !; 7 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_3,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_5,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_6,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_7,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_9,type,
vNOT: $o > $o ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_13,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(f2,axiom,
! [X1: $i > $i > $o,X0: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X3: $i,X2: $i] :
( ( X0 @ X3 @ X2 )
<=> ( X1 @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(f3,axiom,
! [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(f4,axiom,
? [X0: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(f5,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(f6,conjecture,
? [X0: $i > $i > $o] :
( ( ( ^ [X1: $i,X2: $i] : $true )
!= X0 )
& ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f7,negated_conjecture,
~ ? [X0: $i > $i > $o] :
( ( ( ^ [X1: $i,X2: $i] : $true )
!= X0 )
& ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
thf(f8,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(rectify,[],[f1]) ).
thf(f9,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
~ ? [X0: $i > $i > $o] :
( ( ( ^ [X1: $i,X2: $i] : $true )
!= X0 )
& ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
~ ? [X0: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
& ( $true
= ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X0 ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
<=> ( X0 @ X3 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f13,plain,
! [X1: $i > $i > $o,X0: $i > $i > $o] :
( ( $true
= ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 ) )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ),
inference(rectify,[],[f3]) ).
thf(f17,plain,
! [X0: $i] :
( $true
= ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
? [X0: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0 ),
inference(rectify,[],[f4]) ).
thf(f19,plain,
? [X0: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0 ) )
= $true ),
inference(fool_elimination,[],[f18]) ).
thf(f20,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
| ( $true
!= ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 ) ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f21,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X0 ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
!= $true ) ),
inference(ennf_transformation,[],[f11]) ).
thf(f22,plain,
( ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 ) )
= $true ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
thf(f23,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[],[f15]) ).
thf(f24,plain,
( ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 ) )
= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f25,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(cnf_transformation,[],[f9]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
!= ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 ) )
| ( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f27,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X0 ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
!= $true ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f28,plain,
! [X0: $i] :
( $true
= ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f31,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
!= ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 ) )
| ( ( X0 @ X3 @ X2 )
= $false )
| ( ( X1 @ X2 @ X3 )
= $true ) ),
inference(iff_proxy_clausification,[],[f26]) ).
thf(f32,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( $true
!= ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 ) )
| ( ( X1 @ X2 @ X3 )
= $false )
| ( ( X0 @ X3 @ X2 )
= $true ) ),
inference(iff_proxy_clausification,[],[f26]) ).
thf(f33,plain,
! [X0: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
!= $true )
| ( $true
= ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ) ),
inference(not_proxy_clausification,[],[f27]) ).
thf(f34,plain,
! [X0: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(equality_proxy_clausification,[],[f33]) ).
thf(f35,plain,
( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 )
= $false ),
inference(not_proxy_clausification,[],[f24]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( husband_THFTYPE_IiioI @ X0 @ X1 )
= $false )
| ( ( wife_THFTYPE_IiioI @ X1 @ X0 )
= $true ) ),
inference(constrained_superposition,[],[f31,f25]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( ( husband_THFTYPE_IiioI @ X0 @ X1 )
= $false )
| ( ( wife_THFTYPE_IiioI @ X1 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f36]) ).
thf(f38,plain,
( ( $true
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) )
| ( husband_THFTYPE_IiioI
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(constrained_superposition,[],[f34,f37]) ).
thf(f40,definition,
( spl1_1
<=> ( $true
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f42,plain,
( ( $true
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) )
| spl1_1 ),
inference(avatar_component_clause,[],[f40]) ).
thf(f44,definition,
( spl1_2
<=> ( husband_THFTYPE_IiioI
= ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
thf(f46,plain,
( ( husband_THFTYPE_IiioI
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f48,definition,
( spl1_3
<=> ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
thf(f50,plain,
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f51,plain,
( ~ spl1_1
| spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f38,f48,f44,f40]) ).
thf(f52,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( husband_THFTYPE_IiioI @ X1 @ X0 ) )
| ( ( wife_THFTYPE_IiioI @ X0 @ X1 )
= $false )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f32,f25]) ).
thf(f53,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( husband_THFTYPE_IiioI @ X1 @ X0 ) )
| ( ( wife_THFTYPE_IiioI @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f52]) ).
thf(f57,plain,
( ( $true
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false )
| ( husband_THFTYPE_IiioI
= ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
inference(constrained_superposition,[],[f34,f53]) ).
thf(f63,plain,
( ( husband_THFTYPE_IiioI
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(forward_subsumption_resolution,[],[f57,f28]) ).
thf(f65,definition,
( spl1_4
<=> ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
thf(f67,plain,
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f65]) ).
thf(f68,plain,
( spl1_4
| spl1_2 ),
inference(avatar_split_clause,[],[f63,f44,f65]) ).
thf(f69,plain,
( ( $true
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) )
| ~ spl1_4 ),
inference(constrained_superposition,[],[f23,f67]) ).
thf(f70,plain,
( $false
| spl1_1
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f69,f42]) ).
thf(f71,plain,
( spl1_1
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f70]) ).
thf(f72,plain,
( ! [X1: $i] :
( ( husband_THFTYPE_IiioI @ X1 )
= ( ^ [Y0: $i,Y1: $i] : $true
@ X1 ) )
| ~ spl1_2 ),
inference(argument_congruence,[],[f46]) ).
thf(f73,plain,
( ! [X1: $i] :
( ( husband_THFTYPE_IiioI @ X1 )
= ( ^ [Y0: $i] : $true ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f72]) ).
thf(f74,plain,
( ! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] : $true
@ X2 )
= ( husband_THFTYPE_IiioI @ X1 @ X2 ) )
| ~ spl1_2 ),
inference(argument_congruence,[],[f73]) ).
thf(f76,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] : $true
@ X2 ) )
| ( $true
= ( husband_THFTYPE_IiioI @ X1 @ X2 ) ) )
| ~ spl1_2 ),
inference(iff_proxy_clausification,[],[f74]) ).
thf(f77,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( husband_THFTYPE_IiioI @ X1 @ X2 ) )
| ( $false = $true ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f76]) ).
thf(f78,plain,
( ! [X2: $i,X1: $i] :
( $true
= ( husband_THFTYPE_IiioI @ X1 @ X2 ) )
| ~ spl1_2 ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f83,plain,
( ( $false = $true )
| ~ spl1_2 ),
inference(constrained_superposition,[],[f35,f78]) ).
thf(f88,plain,
( $false
| ~ spl1_2 ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f89,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f88]) ).
thf(f91,plain,
( ( $false = $true )
| ~ spl1_3
| ~ spl1_4 ),
inference(forward_demodulation,[],[f67,f50]) ).
thf(f92,plain,
( $false
| ~ spl1_3
| ~ spl1_4 ),
inference(trivial_inequality_removal,[],[f91]) ).
thf(f93,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f92]) ).
cnf(s1,plain,
( ~ spl1_1
| spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
( spl1_2
| spl1_4 ),
inference(sat_conversion,[],[f68]) ).
cnf(s3,plain,
( spl1_1
| ~ spl1_4 ),
inference(sat_conversion,[],[f71]) ).
cnf(s5,plain,
~ spl1_2,
inference(sat_conversion,[],[f89]) ).
cnf(s6,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f93]) ).
cnf(s7,plain,
spl1_4,
inference(rat,[],[s2,s5]) ).
cnf(s8,plain,
~ spl1_3,
inference(rat,[],[s6,s7]) ).
cnf(s9,plain,
spl1_1,
inference(rat,[],[s3,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s8,s5,s9]) ).
thf(f94,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR146^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 17:59:27 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.26 % (428827)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.26 % (428834)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1628548000:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.26 % (428834) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-428827-428834"...
% 0.20/0.26 % (428834)...printing done.
% 0.20/0.26 % (428834)Refutation found. Thanks to Tanya!
% 0.20/0.26 % SZS status Theorem for theBenchmark
% 0.20/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (428834)------------------------------
% 0.20/0.27 % (428834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (428834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (428834)CaDiCaL version: 2.1.3
% 0.20/0.27 % (428834)Termination reason: Refutation
% 0.20/0.27 % (428834)Time elapsed: 0.003 s
% 0.20/0.27 % (428834)Peak memory usage: 13 MB
% 0.20/0.27 % (428834)Instructions burned: 7 (million)
% 0.20/0.27 % (428827)Success in time 0.019 s
% 0.20/0.27 % Vampire exiting
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