%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR153^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 07:47:23 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 17 unt; 0 typ; 3 def)
% Number of atoms : 295 ( 93 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 239 ( 79 ~; 42 |; 11 &; 94 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 57 ( 53 usr; 9 con; 0-4 aty)
% ( 10 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 61 ( 0 sgn 39 !; 4 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_2,type,
before_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_3,type,
brother_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_5,type,
disjoint_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_6,type,
domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).
thf(func_def_7,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_8,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(func_def_12,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_13,type,
instance_THFTYPE_IIIiioIIiioIoIioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $o ).
thf(func_def_14,type,
instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).
thf(func_def_15,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(func_def_16,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(func_def_17,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_19,type,
lBeginFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_24,type,
lEndFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_44,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_46,type,
located_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_47,type,
meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_50,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_51,type,
part_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_53,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_55,type,
sibling_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_56,type,
sister_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_57,type,
subProcess_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_58,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_59,type,
subrelation_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_60,type,
subrelation_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(func_def_61,type,
subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_62,type,
subrelation_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_63,type,
temporalPart_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_65,type,
vNOT: $o > $o ).
thf(func_def_68,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_69,type,
vAND: $o > $o > $o ).
thf(func_def_70,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_71,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_72,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_73,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_74,type,
sK0: $i > $i > $i ).
thf(func_def_75,type,
sK1: ( $i > $i > $o ) > $i ).
thf(func_def_76,type,
sK2: ( $i > $i > $o ) > $i ).
thf(func_def_77,type,
sK3: ( $i > $i > $o ) > $i ).
thf(func_def_78,type,
sK4: $i > $i ).
thf(func_def_79,type,
sK5: ( $i > $i > $o ) > $i ).
thf(func_def_80,type,
sK6: ( $i > $i > $o ) > $i ).
thf(func_def_81,type,
sK7: $i > $i ).
thf(func_def_82,type,
sK8: $i > $i ).
thf(func_def_83,type,
sK9: ( $i > $i > $o ) > $i ).
thf(f3,axiom,
lBob_THFTYPE_i != lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(f22,axiom,
( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
& ( lSue_THFTYPE_i != lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_021) ).
thf(f129,conjecture,
? [X0: $i > $i > $o] :
( ~ ! [X1: $i,X2: $i] : ( X0 @ X1 @ X2 )
& ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f130,negated_conjecture,
~ ? [X0: $i > $i > $o] :
( ~ ! [X1: $i,X2: $i] : ( X0 @ X1 @ X2 )
& ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f129]) ).
thf(f135,plain,
lBob_THFTYPE_i != lBill_THFTYPE_i,
inference(rectify,[],[f3]) ).
thf(f136,plain,
( $true
= ( lBob_THFTYPE_i != lBill_THFTYPE_i ) ),
inference(fool_elimination,[],[f135]) ).
thf(f171,plain,
( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
& ( lSue_THFTYPE_i != lBill_THFTYPE_i ) ),
inference(rectify,[],[f22]) ).
thf(f172,plain,
( ( $true
= ( lBob_THFTYPE_i != lSue_THFTYPE_i ) )
& ( $true
= ( lBill_THFTYPE_i != lSue_THFTYPE_i ) ) ),
inference(fool_elimination,[],[f171]) ).
thf(f385,plain,
~ ? [X0: $i > $i > $o] :
( ~ ! [X1: $i,X2: $i] : ( X0 @ X1 @ X2 )
& ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f130]) ).
thf(f386,plain,
~ ? [X0: $i > $i > $o] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
& ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $true )
& ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f385]) ).
thf(f428,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f386]) ).
thf(f447,plain,
( $true
= ( lBob_THFTYPE_i != lBill_THFTYPE_i ) ),
inference(cnf_transformation,[],[f136]) ).
thf(f473,plain,
( $true
= ( lBob_THFTYPE_i != lSue_THFTYPE_i ) ),
inference(cnf_transformation,[],[f172]) ).
thf(f593,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f428]) ).
thf(f600,plain,
! [X0: $i > $i > $o] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) )
| ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f593]) ).
thf(f601,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) )
@ X1 ) )
| ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f600]) ).
thf(f602,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( X0 @ Y0 @ X1 ) ) )
| ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f601]) ).
thf(f603,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i] : ( X0 @ Y0 @ X1 )
@ X2 ) )
| ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f602]) ).
thf(f604,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true )
| ( ( X0 @ X2 @ X1 )
= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f603]) ).
thf(f618,plain,
( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[],[f473]) ).
thf(f619,plain,
lBob_THFTYPE_i != lSue_THFTYPE_i,
inference(equality_proxy_clausification,[],[f618]) ).
thf(f642,plain,
( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[],[f447]) ).
thf(f643,plain,
lBob_THFTYPE_i != lBill_THFTYPE_i,
inference(equality_proxy_clausification,[],[f642]) ).
thf(f647,plain,
! [X2: $i,X1: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ lSue_THFTYPE_i
@ lBob_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X2
@ X1 ) )
| ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ lBob_THFTYPE_i
@ lBill_THFTYPE_i ) ) ),
inference(primitive_instantiation,[],[f604]) ).
thf(f661,plain,
! [X2: $i,X1: $i] :
( ( $true
!= ( lSue_THFTYPE_i != lBob_THFTYPE_i ) )
| ( $true
= ( X2 != X1 ) )
| ( $true
!= ( lBob_THFTYPE_i != lBill_THFTYPE_i ) ) ),
inference(beta-eta_normalization,[],[f647]) ).
thf(f662,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( lSue_THFTYPE_i = lBob_THFTYPE_i ) )
| ( $true
= ( X2 != X1 ) )
| ( $true
!= ( lBob_THFTYPE_i != lBill_THFTYPE_i ) ) ),
inference(not_proxy_clausification,[],[f661]) ).
thf(f663,plain,
! [X2: $i,X1: $i] :
( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
| ( $true
= ( X2 != X1 ) )
| ( $true
!= ( lBob_THFTYPE_i != lBill_THFTYPE_i ) ) ),
inference(equality_proxy_clausification,[],[f662]) ).
thf(f664,plain,
! [X2: $i,X1: $i] :
( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
| ( $false
= ( X2 = X1 ) )
| ( $true
!= ( lBob_THFTYPE_i != lBill_THFTYPE_i ) ) ),
inference(not_proxy_clausification,[],[f663]) ).
thf(f665,plain,
! [X2: $i,X1: $i] :
( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
| ( X1 != X2 )
| ( $true
!= ( lBob_THFTYPE_i != lBill_THFTYPE_i ) ) ),
inference(equality_proxy_clausification,[],[f664]) ).
thf(f666,plain,
! [X2: $i,X1: $i] :
( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
| ( X1 != X2 )
| ( $true
= ( lBob_THFTYPE_i = lBill_THFTYPE_i ) ) ),
inference(not_proxy_clausification,[],[f665]) ).
thf(f667,plain,
! [X2: $i,X1: $i] :
( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
| ( X1 != X2 )
| ( lBob_THFTYPE_i = lBill_THFTYPE_i ) ),
inference(equality_proxy_clausification,[],[f666]) ).
thf(f673,definition,
( spl10_1
<=> ( lBob_THFTYPE_i = lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
thf(f675,plain,
( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f673]) ).
thf(f677,definition,
( spl10_2
<=> ! [X2: $i,X1: $i] : ( X1 != X2 ) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
thf(f678,plain,
( ! [X2: $i,X1: $i] : ( X1 != X2 )
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f677]) ).
thf(f680,definition,
( spl10_3
<=> ( lBob_THFTYPE_i = lSue_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
thf(f682,plain,
( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f680]) ).
thf(f683,plain,
( spl10_1
| spl10_2
| spl10_3 ),
inference(avatar_split_clause,[],[f667,f680,f677,f673]) ).
thf(f684,plain,
( $false
| ~ spl10_2 ),
inference(flex-flex_simplification,[],[f678]) ).
thf(f685,plain,
~ spl10_2,
inference(avatar_contradiction_clause,[],[f684]) ).
thf(f688,plain,
( ( lBob_THFTYPE_i != lBob_THFTYPE_i )
| ~ spl10_3 ),
inference(constrained_superposition,[],[f619,f682]) ).
thf(f690,plain,
( $false
| ~ spl10_3 ),
inference(trivial_inequality_removal,[],[f688]) ).
thf(f691,plain,
~ spl10_3,
inference(avatar_contradiction_clause,[],[f690]) ).
thf(f693,plain,
( ( lBill_THFTYPE_i != lBill_THFTYPE_i )
| ~ spl10_1 ),
inference(constrained_superposition,[],[f643,f675]) ).
thf(f694,plain,
( $false
| ~ spl10_1 ),
inference(trivial_inequality_removal,[],[f693]) ).
thf(f695,plain,
~ spl10_1,
inference(avatar_contradiction_clause,[],[f694]) ).
cnf(s1,plain,
( spl10_1
| spl10_2
| spl10_3 ),
inference(sat_conversion,[],[f683]) ).
cnf(s2,plain,
~ spl10_2,
inference(sat_conversion,[],[f685]) ).
cnf(s3,plain,
~ spl10_3,
inference(sat_conversion,[],[f691]) ).
cnf(s4,plain,
~ spl10_1,
inference(sat_conversion,[],[f695]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s2,s4]) ).
thf(f696,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR153^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n002.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 18:00:38 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.20/0.27 % (1644581)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (1644587)% WARNING: option uhcvi not known.
% 0.20/0.27 % (1644592)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=926711156:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (1644586)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=712809460_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (1644587)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1338004409:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (1644588)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1876158182:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (1644589)dis+10_1_sil=32000:sp=arity:random_seed=2417419283:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (1644590)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1067703653:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (1644591)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=286967864:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (1644587)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.27 % (1644592) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1644581-1644592"...
% 0.20/0.27 % (1644587)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.27 % Exception at run slice level
% 0.20/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.27 % (1644592)...printing done.
% 0.20/0.27 % (1644592)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (1644592)------------------------------
% 0.20/0.27 % (1644592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (1644592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (1644592)CaDiCaL version: 2.1.3
% 0.20/0.27 % (1644592)Termination reason: Refutation
% 0.20/0.27 % (1644592)Time elapsed: 0.007 s
% 0.20/0.27 % (1644592)Peak memory usage: 13 MB
% 0.20/0.27 % (1644592)Instructions burned: 27 (million)
% 0.20/0.27 % (1644581)Success in time 0.039 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------