%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP265^17 : 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 : n011.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 : ContradictoryAxioms 0.26s 0.37s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 239 ( 53 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 299 ( 12 ~; 13 |; 0 &; 244 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 35 usr; 11 con; 0-4 aty)
% ( 11 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 76 ( 50 ^; 26 !; 0 ?; 76 :)
% 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(f2,axiom,
( mnot
= ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_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(f13,axiom,
! [X0: mworld] : ( mrel @ '#b_alice' @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#b_alice_reflexive') ).
thf(f15,axiom,
! [X0: mworld] : ( mrel @ '#b_bob' @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#b_bob_reflexive') ).
thf(f19,axiom,
mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(f20,axiom,
mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(f23,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f24,plain,
( mnot
= ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f25,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f34,plain,
( mbox
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f35,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f34]) ).
thf(f46,plain,
! [X0: mworld] : ( mrel @ '#b_alice' @ X0 @ X0 ),
inference(rectify,[],[f13]) ).
thf(f47,plain,
! [X0: mworld] :
( ( mrel @ '#b_alice' @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f46]) ).
thf(f50,plain,
! [X0: mworld] : ( mrel @ '#b_bob' @ X0 @ X0 ),
inference(rectify,[],[f15]) ).
thf(f51,plain,
! [X0: mworld] :
( ( mrel @ '#b_bob' @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f50]) ).
thf(f58,plain,
mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ),
inference(rectify,[],[f19]) ).
thf(f59,plain,
( ( mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) )
= $true ),
inference(fool_elimination,[],[f58]) ).
thf(f60,plain,
mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ),
inference(rectify,[],[f20]) ).
thf(f61,plain,
( ( mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f60]) ).
thf(f73,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f74,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f79,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f35]) ).
thf(f85,plain,
! [X0: mworld] :
( ( mrel @ '#b_alice' @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f47]) ).
thf(f87,plain,
! [X0: mworld] :
( ( mrel @ '#b_bob' @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f51]) ).
thf(f91,plain,
( ( mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ) )
= $true ),
inference(cnf_transformation,[],[f59]) ).
thf(f92,plain,
( ( mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f61]) ).
thf(f98,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,[],[f91,f73,f79]) ).
thf(f99,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'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b_bob'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ ( bigcity @ portland ) ) ) ) ) ),
inference(definition_unfolding,[],[f92,f73,f79,f79,f74]) ).
thf(f110,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_alice' @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b_bob' @ Y0 @ Y1 )
=> ~ ( bigcity @ portland @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f99]) ).
thf(f111,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#b_alice' @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b_bob' @ Y0 @ Y1 )
=> ~ ( bigcity @ portland @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f110]) ).
thf(f112,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ '#b_alice' @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_bob' @ X1 @ Y0 )
=> ~ ( bigcity @ portland @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f111]) ).
thf(f113,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#b_alice' @ mactual @ X1 ) )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_bob' @ X1 @ Y0 )
=> ~ ( bigcity @ portland @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f112]) ).
thf(f114,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( mrel @ '#b_alice' @ mactual @ X1 ) )
| ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#b_bob' @ X1 @ Y0 )
=> ~ ( bigcity @ portland @ Y0 ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f113]) ).
thf(f115,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( mrel @ '#b_alice' @ mactual @ X1 ) )
| ( $true
= ( ( mrel @ '#b_bob' @ X1 @ X2 )
=> ~ ( bigcity @ portland @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f114]) ).
thf(f116,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( mrel @ '#b_alice' @ mactual @ X1 ) )
| ( $false
= ( mrel @ '#b_bob' @ X1 @ X2 ) )
| ( $true
= ( ~ ( bigcity @ portland @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f115]) ).
thf(f117,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( mrel @ '#b_bob' @ X1 @ X2 ) )
| ( $false
= ( mrel @ '#b_alice' @ mactual @ X1 ) )
| ( $false
= ( bigcity @ portland @ X2 ) ) ),
inference(not_proxy_clausification,[],[f116]) ).
thf(f118,plain,
( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b_alice' @ mactual @ Y0 )
=> ( bigcity @ portland @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f98]) ).
thf(f119,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#b_alice' @ mactual @ Y0 )
=> ( bigcity @ portland @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f118]) ).
thf(f120,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ '#b_alice' @ mactual @ X1 )
=> ( bigcity @ portland @ X1 ) ) ),
inference(beta-eta_normalization,[],[f119]) ).
thf(f121,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#b_alice' @ mactual @ X1 ) )
| ( $true
= ( bigcity @ portland @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f120]) ).
thf(f181,plain,
( ( $true = $false )
| ( $true
= ( bigcity @ portland @ mactual ) ) ),
inference(constrained_superposition,[],[f85,f121]) ).
thf(f182,plain,
( $true
= ( bigcity @ portland @ mactual ) ),
inference(trivial_inequality_removal,[],[f181]) ).
thf(f189,plain,
! [X0: mworld] :
( ( $true = $false )
| ( $false
= ( mrel @ '#b_alice' @ mactual @ X0 ) )
| ( $false
= ( bigcity @ portland @ X0 ) ) ),
inference(constrained_superposition,[],[f87,f117]) ).
thf(f190,plain,
! [X0: mworld] :
( ( $false
= ( mrel @ '#b_alice' @ mactual @ X0 ) )
| ( $false
= ( bigcity @ portland @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f189]) ).
thf(f197,plain,
( ( $true = $false )
| ( $false
= ( bigcity @ portland @ mactual ) ) ),
inference(constrained_superposition,[],[f85,f190]) ).
thf(f198,plain,
( $false
= ( bigcity @ portland @ mactual ) ),
inference(trivial_inequality_removal,[],[f197]) ).
thf(f203,plain,
$true = $false,
inference(constrained_superposition,[],[f182,f198]) ).
thf(f204,plain,
$false,
inference(trivial_inequality_removal,[],[f203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NLP265^17 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.26 % Computer : n011.cluster.edu
% 0.13/0.26 % Model : x86_64 x86_64
% 0.13/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.26 % Memory : 8046.5625MB
% 0.13/0.26 % OS : Linux 6.8.0-71-generic
% 0.13/0.26 % CPULimit : 300
% 0.13/0.26 % WCLimit : 300
% 0.13/0.26 % DateTime : Tue Sep 29 11:43:01 UTC 2026
% 0.13/0.26 % CPUTime :
% 0.13/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 Running first-order model finding
% 0.26/0.31 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
% 0.26/0.37 % (4167378)Will run a generic schedule for satisfiability detection.
% 0.26/0.37 % (4167387)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3832651047:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.37 % (4167387)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.26/0.37 % (4167384)% WARNING: option uhcvi not known.
% 0.26/0.37 % (4167385)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3397426592:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.37 % (4167383)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1288389120_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.37 % (4167386)dis+10_1_sil=32000:sp=arity:random_seed=1630357625:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.37 % (4167389)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1805060302:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.37 % (4167388)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2480125662:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.37 % (4167384)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2145329171:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.37 % (4167384)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.26/0.37 % Exception at run slice level
% 0.26/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.26/0.37 % (4167384)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.26/0.37 % (4167389) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4167378-4167389"...
% 0.26/0.37 % (4167385) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4167378-4167385"...
% 0.26/0.37 % (4167389)...printing done.
% 0.26/0.37 % (4167385)...printing done.
% 0.26/0.37 % (4167389)Refutation found. Thanks to Tanya!
% 0.26/0.37 % SZS status ContradictoryAxioms for theBenchmark
% 0.26/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.37 % (4167389)------------------------------
% 0.26/0.37 % (4167389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.37 % (4167389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.37 % (4167389)CaDiCaL version: 2.1.3
% 0.26/0.37 % (4167389)Termination reason: Refutation
% 0.26/0.37 % (4167389)Time elapsed: 0.015 s
% 0.26/0.37 % (4167389)Peak memory usage: 12 MB
% 0.26/0.37 % (4167389)Instructions burned: 16 (million)
% 0.26/0.37 % (4167378)Success in time 0.054 s
% 0.26/0.37 % Vampire exiting
%------------------------------------------------------------------------------