%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR140^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 07:47:08 AM UTC 2026
% Result : Theorem 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 88 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 85 ( 22 ~; 5 |; 4 &; 54 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 5 con; 0-4 aty)
% Number of variables : 26 ( 0 ^; 14 !; 12 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).
thf(func_def_2,type,
domain_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(func_def_4,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_5,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(func_def_6,type,
instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).
thf(func_def_7,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_17,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_20,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_21,type,
range_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_22,type,
subclass_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_23,type,
subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_24,type,
subrelation_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_26,type,
vNOT: $o > $o ).
thf(func_def_29,type,
sK0: $i > $i ).
thf(func_def_30,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_31,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_33,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f14,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_013) ).
thf(f27,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_026) ).
thf(f45,conjecture,
? [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( X0 @ X1 @ lAnna_THFTYPE_i )
& ~ ( X0 @ X2 @ lAnna_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f46,negated_conjecture,
~ ? [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( X0 @ X1 @ lAnna_THFTYPE_i )
& ~ ( X0 @ X2 @ lAnna_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
thf(f67,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(rectify,[],[f14]) ).
thf(f68,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f67]) ).
thf(f73,plain,
~ ? [X0: $i,X1: $i > $i > $o,X2: $i] :
( ( X1 @ X2 @ lAnna_THFTYPE_i )
& ~ ( X1 @ X0 @ lAnna_THFTYPE_i ) ),
inference(rectify,[],[f46]) ).
thf(f74,plain,
~ ? [X2: $i,X1: $i > $i > $o,X0: $i] :
( ( ( X1 @ X2 @ lAnna_THFTYPE_i )
= $true )
& ( $true
= ( ~ ( X1 @ X0 @ lAnna_THFTYPE_i ) ) ) ),
inference(fool_elimination,[],[f73]) ).
thf(f135,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(rectify,[],[f27]) ).
thf(f136,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f135]) ).
thf(f155,plain,
! [X0: $i,X2: $i,X1: $i > $i > $o] :
( ( ( X1 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
!= ( ~ ( X1 @ X0 @ lAnna_THFTYPE_i ) ) ) ),
inference(ennf_transformation,[],[f74]) ).
thf(f160,plain,
! [X0: $i,X1: $i,X2: $i > $i > $o] :
( ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
!= ( ~ ( X2 @ X0 @ lAnna_THFTYPE_i ) ) ) ),
inference(rectify,[],[f155]) ).
thf(f168,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f68]) ).
thf(f182,plain,
! [X2: $i > $i > $o,X0: $i,X1: $i] :
( ( $true
!= ( ~ ( X2 @ X0 @ lAnna_THFTYPE_i ) ) )
| ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) ) ),
inference(cnf_transformation,[],[f160]) ).
thf(f202,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[],[f136]) ).
thf(f215,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[],[f202]) ).
thf(f218,plain,
! [X2: $i > $i > $o,X0: $i,X1: $i] :
( ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
= ( X2 @ X0 @ lAnna_THFTYPE_i ) ) ),
inference(not_proxy_clausification,[],[f182]) ).
thf(f264,plain,
! [X0: $i] :
( ( $true != $true )
| ( $true
= ( parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i ) ) ),
inference(superposition,[],[f218,f168]) ).
thf(f265,plain,
! [X0: $i] :
( $true
= ( parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i ) ),
inference(trivial_inequality_removal,[],[f264]) ).
thf(f557,plain,
$true = $false,
inference(forward_demodulation,[],[f215,f265]) ).
thf(f558,plain,
$false,
inference(trivial_inequality_removal,[],[f557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR140^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:55:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.29 % (2444023)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (2444037)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=863509022:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.29 % (2444039)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.29 % (2444039)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
% 0.22/0.29 % (2444037) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2444023-2444037"...
% 0.22/0.29 % (2444037)...printing done.
% 0.22/0.29 % (2444033)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=851382907:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.29 % (2444034)lrs+10_16_si=on:nwc=1.5:random_seed=3772902884:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.29 % (2444035)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=357473192:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.29 % (2444037)Refutation found. Thanks to Tanya!
% 0.22/0.29 % SZS status Theorem for theBenchmark
% 0.22/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.29 % (2444037)------------------------------
% 0.22/0.29 % (2444037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (2444037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (2444037)CaDiCaL version: 2.1.3
% 0.22/0.29 % (2444037)Termination reason: Refutation
% 0.22/0.29 % (2444037)Time elapsed: 0.005 s
% 0.22/0.29 % (2444037)Peak memory usage: 12 MB
% 0.22/0.29 % (2444037)Instructions burned: 18 (million)
% 0.22/0.29 % (2444023)Success in time 0.039 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------