%------------------------------------------------------------------------------
% File : Vampire---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 THM
% 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 07:47:13 AM UTC 2026
% Result : Theorem 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 255 ( 89 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 209 ( 63 ~; 31 |; 11 &; 94 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 54 ( 50 usr; 6 con; 0-4 aty)
% ( 10 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 61 ( 18 ^; 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 > $o ) > $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 ).
thf(func_def_78,type,
sK4: $i > $i ).
thf(func_def_79,type,
sK5: $i > $i ).
thf(func_def_80,type,
sK6: ( $i > $i > $o ) > $i ).
thf(func_def_81,type,
sK7: ( $i > $i > $o ) > $i ).
thf(func_def_82,type,
sK8: ( $i > $i > $o ) > $i ).
thf(func_def_83,type,
sK9: $i > $i > $i ).
thf(f2,axiom,
lBob_THFTYPE_i != lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
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(f267,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(f268,plain,
~ ? [X0: $i > $i > $o] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) )
= $true )
& ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
& ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f267]) ).
thf(f323,plain,
( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
& ( lSue_THFTYPE_i != lBill_THFTYPE_i ) ),
inference(rectify,[],[f22]) ).
thf(f324,plain,
( ( ( lBob_THFTYPE_i != lSue_THFTYPE_i )
= $true )
& ( ( lBill_THFTYPE_i != lSue_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f323]) ).
thf(f333,plain,
lBob_THFTYPE_i != lBill_THFTYPE_i,
inference(rectify,[],[f2]) ).
thf(f334,plain,
( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f333]) ).
thf(f398,plain,
! [X0: $i > $i > $o] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) )
!= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f268]) ).
thf(f486,plain,
( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f334]) ).
thf(f529,plain,
( ( lBob_THFTYPE_i != lSue_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f324]) ).
thf(f556,plain,
! [X0: $i > $i > $o] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) )
!= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f398]) ).
thf(f614,plain,
( $false
= ( lBob_THFTYPE_i = lBill_THFTYPE_i ) ),
inference(not_proxy_clausification,[],[f486]) ).
thf(f615,plain,
lBob_THFTYPE_i != lBill_THFTYPE_i,
inference(equality_proxy_clausification,[],[f614]) ).
thf(f641,plain,
! [X0: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) )
= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f556]) ).
thf(f642,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) )
@ X1 )
= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f641]) ).
thf(f643,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] : ( X0 @ Y0 @ X1 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f642]) ).
thf(f644,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
!= $true )
| ( ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( $true
= ( ^ [Y0: $i] : ( X0 @ Y0 @ X1 )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f643]) ).
thf(f645,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,[],[f644]) ).
thf(f654,plain,
( $false
= ( lBob_THFTYPE_i = lSue_THFTYPE_i ) ),
inference(not_proxy_clausification,[],[f529]) ).
thf(f655,plain,
lBob_THFTYPE_i != lSue_THFTYPE_i,
inference(equality_proxy_clausification,[],[f654]) ).
thf(f661,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ X2
@ X1 )
= $true )
| ( ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ lSue_THFTYPE_i
@ lBob_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
@ lBob_THFTYPE_i
@ lBill_THFTYPE_i )
!= $true ) ),
inference(primitive_instantiation,[],[f645]) ).
thf(f678,plain,
! [X2: $i,X1: $i] :
( ( ( X2 != X1 )
= $true )
| ( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
!= $true )
| ( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f661]) ).
thf(f679,plain,
! [X2: $i,X1: $i] :
( ( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
!= $true )
| ( $false
= ( X2 = X1 ) )
| ( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f678]) ).
thf(f680,plain,
! [X2: $i,X1: $i] :
( ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
= $true )
| ( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
!= $true )
| ( $false
= ( X2 = X1 ) ) ),
inference(not_proxy_clausification,[],[f679]) ).
thf(f681,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( X2 = X1 ) )
| ( lBob_THFTYPE_i = lSue_THFTYPE_i )
| ( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
!= $true ) ),
inference(equality_proxy_clausification,[],[f680]) ).
thf(f682,plain,
! [X2: $i,X1: $i] :
( ( X1 != X2 )
| ( lBob_THFTYPE_i = lSue_THFTYPE_i )
| ( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
!= $true ) ),
inference(equality_proxy_clausification,[],[f681]) ).
thf(f683,plain,
! [X2: $i,X1: $i] :
( ( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
= $true )
| ( X1 != X2 )
| ( lBob_THFTYPE_i = lSue_THFTYPE_i ) ),
inference(not_proxy_clausification,[],[f682]) ).
thf(f684,plain,
! [X2: $i,X1: $i] :
( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
| ( X1 != X2 )
| ( lBob_THFTYPE_i = lBill_THFTYPE_i ) ),
inference(equality_proxy_clausification,[],[f683]) ).
thf(f687,plain,
! [X2: $i,X1: $i] :
( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
| ( X1 != X2 ) ),
inference(forward_subsumption_resolution,[],[f684,f655]) ).
thf(f688,plain,
! [X2: $i,X1: $i] : ( X1 != X2 ),
inference(forward_subsumption_resolution,[],[f687,f615]) ).
thf(f689,plain,
$false,
inference(flex-flex_simplification,[],[f688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR153^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n011.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 17:58:01 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.26 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
% 0.20/0.32 % (444652)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.32 % (444661)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2421178918:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.32 % (444663)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.32 % (444663)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.32 % (444661) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-444652-444661"...
% 0.20/0.32 % (444661)...printing done.
% 0.20/0.32 % (444659)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3119469113:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.32 % (444657)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1891574258:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.32 % (444658)lrs+10_16_si=on:nwc=1.5:random_seed=3424243645:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.32 % (444660)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1351459777:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.32 % (444662)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1286372892:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.32 % (444661)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Theorem for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32 % (444661)------------------------------
% 0.20/0.32 % (444661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (444661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (444661)CaDiCaL version: 2.1.3
% 0.20/0.32 % (444661)Termination reason: Refutation
% 0.20/0.32 % (444661)Time elapsed: 0.006 s
% 0.20/0.32 % (444661)Peak memory usage: 12 MB
% 0.20/0.32 % (444661)Instructions burned: 23 (million)
% 0.20/0.32 % (444652)Success in time 0.051 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------