%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP265^18 : 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 : n009.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 08:16:35 AM UTC 2026
% Result : Theorem 0.27s 0.27s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 178 ( 32 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 236 ( 7 ~; 2 |; 0 &; 197 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 35 usr; 11 con; 0-4 aty)
% ( 11 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 55 ( 40 ^; 15 !; 0 ?; 55 :)
% 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,
'#i_alice': mindex ).
thf(func_def_2,type,
'#i_bob': mindex ).
thf(func_def_3,type,
'#b_alice': mindex ).
thf(func_def_4,type,
'#b_bob': mindex ).
thf(func_def_5,type,
mactual: mworld ).
thf(func_def_6,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_8,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_16,type,
bigcity: $i > mworld > $o ).
thf(func_def_17,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_19,type,
vNOT: $o > $o ).
thf(func_def_20,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
vAND: $o > $o > $o ).
thf(func_def_22,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
vOR: $o > $o > $o ).
thf(func_def_24,type,
vIMP: $o > $o > $o ).
thf(func_def_25,type,
vIFF: $o > $o > $o ).
thf(func_def_26,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_27,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_28,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_31,type,
sK0: mworld ).
thf(func_def_32,type,
sK1: mworld ).
thf(func_def_33,type,
sK2: mworld > mworld ).
thf(func_def_34,type,
sK3: mworld > mworld ).
thf(func_def_35,type,
sK4: mworld > mworld ).
thf(func_def_36,type,
sK5: mworld > mworld ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_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(f11,axiom,
! [X0: mworld,X1: mworld] : ( mrel @ '#b_alice' @ X0 @ X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#b_alice_universal') ).
thf(f15,axiom,
mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(f17,conjecture,
mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f18,negated_conjecture,
~ ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
thf(f19,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f30,plain,
( mbox
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f31,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f30]) ).
thf(f38,plain,
! [X0: mworld,X1: mworld] : ( mrel @ '#b_alice' @ X0 @ X1 ),
inference(rectify,[],[f11]) ).
thf(f39,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ '#b_alice' @ X0 @ X1 )
= $true ),
inference(fool_elimination,[],[f38]) ).
thf(f46,plain,
mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ),
inference(rectify,[],[f15]) ).
thf(f47,plain,
( ( mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) )
= $true ),
inference(fool_elimination,[],[f46]) ).
thf(f50,plain,
~ ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) ),
inference(rectify,[],[f18]) ).
thf(f51,plain,
( ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) )
!= $true ),
inference(fool_elimination,[],[f50]) ).
thf(f52,plain,
( ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) )
!= $true ),
inference(flattening,[],[f51]) ).
thf(f53,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f59,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f63,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ '#b_alice' @ X0 @ X1 )
= $true ),
inference(cnf_transformation,[],[f39]) ).
thf(f67,plain,
( ( mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) )
= $true ),
inference(cnf_transformation,[],[f47]) ).
thf(f69,plain,
( ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f52]) ).
thf(f74,plain,
( $true
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b_alice'
@ ( bigcity @ portland ) ) ) ),
inference(definition_unfolding,[],[f67,f53,f59]) ).
thf(f76,plain,
( $true
!= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#i_alice'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b_bob'
@ ( bigcity @ portland ) ) ) ) ),
inference(definition_unfolding,[],[f69,f53,f59,f59]) ).
thf(f77,plain,
( $true
!= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#i_alice' @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b_bob' @ Y0 @ Y1 )
=> ( bigcity @ portland @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f76]) ).
thf(f78,plain,
( $false
= ( ^ [Y0: mworld] :
( ( mrel @ '#i_alice' @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b_bob' @ Y0 @ Y1 )
=> ( bigcity @ portland @ Y1 ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f77]) ).
thf(f79,plain,
( $false
= ( ( mrel @ '#i_alice' @ mactual @ sK0 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_bob' @ sK0 @ Y0 )
=> ( bigcity @ portland @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f78]) ).
thf(f80,plain,
( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_bob' @ sK0 @ Y0 )
=> ( bigcity @ portland @ Y0 ) ) ) ),
inference(imp_proxy_clausification,[],[f79]) ).
thf(f82,plain,
( $false
= ( ^ [Y0: mworld] :
( ( mrel @ '#b_bob' @ sK0 @ Y0 )
=> ( bigcity @ portland @ Y0 ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f80]) ).
thf(f83,plain,
( $false
= ( ( mrel @ '#b_bob' @ sK0 @ sK1 )
=> ( bigcity @ portland @ sK1 ) ) ),
inference(beta-eta_normalization,[],[f82]) ).
thf(f84,plain,
( $false
= ( bigcity @ portland @ sK1 ) ),
inference(imp_proxy_clausification,[],[f83]) ).
thf(f94,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_alice' @ mactual @ Y0 )
=> ( bigcity @ portland @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f74]) ).
thf(f95,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#b_alice' @ mactual @ Y0 )
=> ( bigcity @ portland @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f94]) ).
thf(f96,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ '#b_alice' @ mactual @ X1 )
=> ( bigcity @ portland @ X1 ) ) ),
inference(beta-eta_normalization,[],[f95]) ).
thf(f97,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#b_alice' @ mactual @ X1 ) )
| ( $true
= ( bigcity @ portland @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f96]) ).
thf(f155,plain,
! [X1: mworld] :
( ( $true = $false )
| ( $true
= ( bigcity @ portland @ X1 ) ) ),
inference(forward_demodulation,[],[f97,f63]) ).
thf(f156,plain,
! [X1: mworld] :
( $true
= ( bigcity @ portland @ X1 ) ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f158,plain,
$true = $false,
inference(constrained_superposition,[],[f84,f156]) ).
thf(f159,plain,
$false,
inference(trivial_inequality_removal,[],[f158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP265^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n009.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 11:43:30 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.27/0.27 % (3894910)Will run a generic schedule for satisfiability detection.
% 0.27/0.27 % (3894916)% WARNING: option uhcvi not known.
% 0.27/0.27 % (3894918)dis+10_1_sil=32000:sp=arity:random_seed=2899174605:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.27/0.27 % (3894915)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2080528961_2999 on theBenchmark for (2999ds/0Mi)
% 0.27/0.27 % (3894917)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3726043334:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.27/0.27 % (3894916)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3421957135:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.27/0.27 % (3894916)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.27/0.27 % Exception at run slice level
% 0.27/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.27/0.27 % (3894916)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.27/0.27 % (3894918) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3894910-3894918"...
% 0.27/0.27 % (3894916) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3894910-3894916"...
% 0.27/0.27 % (3894918)...printing done.
% 0.27/0.27 % (3894917) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3894910-3894917"...
% 0.27/0.27 % (3894921)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1884414403:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.27/0.27 % (3894916)...printing done.
% 0.27/0.27 % (3894918)Refutation found. Thanks to Tanya!
% 0.27/0.27 % SZS status Theorem for theBenchmark
% 0.27/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.27 % (3894918)------------------------------
% 0.27/0.27 % (3894918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.27 % (3894918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.27 % (3894918)CaDiCaL version: 2.1.3
% 0.27/0.27 % (3894918)Termination reason: Refutation
% 0.27/0.27 % (3894918)Time elapsed: 0.007 s
% 0.27/0.27 % (3894918)Peak memory usage: 12 MB
% 0.27/0.27 % (3894918)Instructions burned: 12 (million)
% 0.27/0.27 % (3894910)Success in time 0.036 s
% 0.27/0.27 % Vampire exiting
%------------------------------------------------------------------------------