%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP267^18 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 08:16:36 AM UTC 2026
% Result : Theorem 0.08s 0.16s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 389 ( 74 equ; 0 cnn)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 416 ( 7 ~; 20 |; 15 &; 341 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 32 usr; 10 con; 0-4 aty)
% ( 8 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 101 ( 71 ^; 30 !; 0 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(type_def_6,type,
mindex: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
mrel: mindex > mworld > mworld > $o ).
thf(func_def_1,type,
'#b_u': mindex ).
thf(func_def_2,type,
'#b_s': mindex ).
thf(func_def_3,type,
mactual: mworld ).
thf(func_def_4,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_6,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_18,type,
price: $i > mworld > $o ).
thf(func_def_19,type,
dest: $i > mworld > $o ).
thf(func_def_20,type,
class: $i > mworld > $o ).
thf(func_def_21,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_23,type,
vNOT: $o > $o ).
thf(func_def_24,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_25,type,
vAND: $o > $o > $o ).
thf(func_def_26,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
vOR: $o > $o > $o ).
thf(func_def_28,type,
vIMP: $o > $o > $o ).
thf(func_def_29,type,
vIFF: $o > $o > $o ).
thf(func_def_30,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_31,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_35,type,
sK0: mworld ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(f3,axiom,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def) ).
thf(f5,axiom,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).
thf(f7,axiom,
( mbox
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).
thf(f10,axiom,
! [X0: mworld,X1: mworld] : ( mrel @ '#b_s' @ X0 @ X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#b_s_universal') ).
thf(f12,axiom,
mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(f17,axiom,
mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(f18,conjecture,
mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f19,negated_conjecture,
~ ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
thf(f20,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f23,plain,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f24,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f27,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f28,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f27]) ).
thf(f31,plain,
( mbox
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f32,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f37,plain,
! [X0: mworld,X1: mworld] : ( mrel @ '#b_s' @ X0 @ X1 ),
inference(rectify,[],[f10]) ).
thf(f38,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ '#b_s' @ X0 @ X1 )
= $true ),
inference(fool_elimination,[],[f37]) ).
thf(f41,plain,
mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
inference(rectify,[],[f12]) ).
thf(f42,plain,
( ( mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
= $true ),
inference(fool_elimination,[],[f41]) ).
thf(f51,plain,
mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ),
inference(rectify,[],[f17]) ).
thf(f52,plain,
( ( mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) )
= $true ),
inference(fool_elimination,[],[f51]) ).
thf(f53,plain,
~ ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) ),
inference(rectify,[],[f19]) ).
thf(f54,plain,
( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
!= $true ),
inference(fool_elimination,[],[f53]) ).
thf(f55,plain,
( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
!= $true ),
inference(flattening,[],[f54]) ).
thf(f56,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f58,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f60,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f28]) ).
thf(f62,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f65,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ '#b_s' @ X0 @ X1 )
= $true ),
inference(cnf_transformation,[],[f38]) ).
thf(f67,plain,
( ( mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
= $true ),
inference(cnf_transformation,[],[f42]) ).
thf(f72,plain,
( ( mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) )
= $true ),
inference(cnf_transformation,[],[f52]) ).
thf(f73,plain,
( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
!= $true ),
inference(cnf_transformation,[],[f55]) ).
thf(f77,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b_s'
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ ( dest @ paris )
@ ( class @ second ) )
@ ( price @ seventy ) ) ) ) ),
inference(definition_unfolding,[],[f67,f56,f62,f60,f58]) ).
thf(f82,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b_s'
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ ( dest @ paris )
@ ( class @ second ) ) ) ) ),
inference(definition_unfolding,[],[f72,f56,f62,f58]) ).
thf(f83,plain,
( $true
!= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b_s'
@ ( price @ seventy ) ) ) ),
inference(definition_unfolding,[],[f73,f56,f62]) ).
thf(f84,plain,
( $true
!= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_s' @ mactual @ Y0 )
=> ( price @ seventy @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f83]) ).
thf(f85,plain,
( $false
= ( ^ [Y0: mworld] :
( ( mrel @ '#b_s' @ mactual @ Y0 )
=> ( price @ seventy @ Y0 ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f84]) ).
thf(f86,plain,
( $false
= ( ( mrel @ '#b_s' @ mactual @ sK0 )
=> ( price @ seventy @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f85]) ).
thf(f87,plain,
( $false
= ( price @ seventy @ sK0 ) ),
inference(imp_proxy_clausification,[],[f86]) ).
thf(f89,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_s' @ mactual @ Y0 )
=> ( ( dest @ paris @ Y0 )
& ( class @ second @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f82]) ).
thf(f90,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#b_s' @ mactual @ Y0 )
=> ( ( dest @ paris @ Y0 )
& ( class @ second @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f89]) ).
thf(f91,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ '#b_s' @ mactual @ X1 )
=> ( ( dest @ paris @ X1 )
& ( class @ second @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f90]) ).
thf(f92,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#b_s' @ mactual @ X1 ) )
| ( $true
= ( ( dest @ paris @ X1 )
& ( class @ second @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f91]) ).
thf(f93,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#b_s' @ mactual @ X1 ) )
| ( $true
= ( class @ second @ X1 ) ) ),
inference(and_proxy_clausification,[],[f92]) ).
thf(f94,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#b_s' @ mactual @ X1 ) )
| ( $true
= ( dest @ paris @ X1 ) ) ),
inference(and_proxy_clausification,[],[f92]) ).
thf(f119,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_s' @ mactual @ Y0 )
=> ( ( ( dest @ paris @ Y0 )
& ( class @ second @ Y0 ) )
=> ( price @ seventy @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f77]) ).
thf(f120,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#b_s' @ mactual @ Y0 )
=> ( ( ( dest @ paris @ Y0 )
& ( class @ second @ Y0 ) )
=> ( price @ seventy @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f119]) ).
thf(f121,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ '#b_s' @ mactual @ X1 )
=> ( ( ( dest @ paris @ X1 )
& ( class @ second @ X1 ) )
=> ( price @ seventy @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f120]) ).
thf(f122,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#b_s' @ mactual @ X1 ) )
| ( $true
= ( ( ( dest @ paris @ X1 )
& ( class @ second @ X1 ) )
=> ( price @ seventy @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f121]) ).
thf(f123,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#b_s' @ mactual @ X1 ) )
| ( $false
= ( ( dest @ paris @ X1 )
& ( class @ second @ X1 ) ) )
| ( $true
= ( price @ seventy @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f122]) ).
thf(f124,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#b_s' @ mactual @ X1 ) )
| ( $false
= ( class @ second @ X1 ) )
| ( $true
= ( price @ seventy @ X1 ) )
| ( $false
= ( dest @ paris @ X1 ) ) ),
inference(and_proxy_clausification,[],[f123]) ).
thf(f140,plain,
! [X1: mworld] :
( ( $true = $false )
| ( $true
= ( class @ second @ X1 ) ) ),
inference(forward_demodulation,[],[f93,f65]) ).
thf(f141,plain,
! [X1: mworld] :
( $true
= ( class @ second @ X1 ) ),
inference(trivial_inequality_removal,[],[f140]) ).
thf(f146,plain,
! [X1: mworld] :
( ( $true = $false )
| ( $true
= ( dest @ paris @ X1 ) ) ),
inference(forward_demodulation,[],[f94,f65]) ).
thf(f147,plain,
! [X1: mworld] :
( $true
= ( dest @ paris @ X1 ) ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f154,plain,
! [X1: mworld] :
( ( $true = $false )
| ( $false
= ( class @ second @ X1 ) )
| ( $true
= ( price @ seventy @ X1 ) )
| ( $false
= ( dest @ paris @ X1 ) ) ),
inference(forward_demodulation,[],[f124,f65]) ).
thf(f155,plain,
! [X1: mworld] :
( ( $false
= ( class @ second @ X1 ) )
| ( $true
= ( price @ seventy @ X1 ) )
| ( $false
= ( dest @ paris @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f154]) ).
thf(f156,plain,
! [X1: mworld] :
( ( $true = $false )
| ( $true
= ( price @ seventy @ X1 ) )
| ( $false
= ( dest @ paris @ X1 ) ) ),
inference(forward_demodulation,[],[f155,f141]) ).
thf(f157,plain,
! [X1: mworld] :
( ( $true
= ( price @ seventy @ X1 ) )
| ( $false
= ( dest @ paris @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f156]) ).
thf(f158,plain,
! [X1: mworld] :
( ( $true = $false )
| ( $true
= ( price @ seventy @ X1 ) ) ),
inference(forward_demodulation,[],[f157,f147]) ).
thf(f159,plain,
! [X1: mworld] :
( $true
= ( price @ seventy @ X1 ) ),
inference(trivial_inequality_removal,[],[f158]) ).
thf(f161,plain,
$true = $false,
inference(constrained_superposition,[],[f87,f159]) ).
thf(f162,plain,
$false,
inference(trivial_inequality_removal,[],[f161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NLP267^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 11:48:33 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.13 Running first-order model finding
% 0.08/0.13 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
% 0.08/0.16 % (4186032)Will run a generic schedule for satisfiability detection.
% 0.08/0.16 % (4186038)% WARNING: option uhcvi not known.
% 0.08/0.16 % (4186039)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3292341557:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.16 % (4186038)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=557442138:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.16 % (4186040)dis+10_1_sil=32000:sp=arity:random_seed=1110950778:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.16 % (4186037)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1828119390_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.16 % (4186038)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.16 % Exception at run slice level% (4186038)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.16
% 0.08/0.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.16 % (4186040) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4186032-4186040"...
% 0.08/0.16 % (4186039) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4186032-4186039"...
% 0.08/0.16 % (4186040)...printing done.
% 0.08/0.16 % (4186038) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4186032-4186038"...
% 0.08/0.16 % (4186039)...printing done.
% 0.08/0.16 % (4186040)Refutation found. Thanks to Tanya!
% 0.08/0.16 % SZS status Theorem for theBenchmark
% 0.08/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.17 % (4186040)------------------------------
% 0.08/0.17 % (4186040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.17 % (4186040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.17 % (4186040)CaDiCaL version: 2.1.3
% 0.08/0.17 % (4186040)Termination reason: Refutation
% 0.08/0.17 % (4186040)Time elapsed: 0.004 s
% 0.08/0.17 % (4186040)Peak memory usage: 11 MB
% 0.08/0.17 % (4186040)Instructions burned: 12 (million)
% 0.08/0.17 % (4186032)Success in time 0.032 s
% 0.08/0.17 % Vampire exiting
%------------------------------------------------------------------------------