%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR139^2 : 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 : n012.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 0.08s 0.18s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 183 ( 75 equ; 8 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 144 ( 38 ~; 24 |; 8 &; 74 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 24 usr; 8 con; 0-4 aty)
% Number of variables : 71 ( 20 ^; 39 !; 12 ?; 71 :)
% 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,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_30,type,
sK0: $i > $i ).
thf(func_def_31,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f27,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_026) ).
thf(f30,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_029) ).
thf(f45,conjecture,
? [X1: $i > $i > $o,X0: $i > $i > $o,X2: $i] :
( ( X1 != X0 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f46,negated_conjecture,
~ ? [X1: $i > $i > $o,X0: $i > $i > $o,X2: $i] :
( ( X1 != X0 )
& ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X1 @ X2 @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
thf(f63,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
inference(rectify,[],[f30]) ).
thf(f64,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f63]) ).
thf(f73,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(rectify,[],[f27]) ).
thf(f74,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f73]) ).
thf(f91,plain,
~ ? [X0: $i > $i > $o,X1: $i > $i > $o,X2: $i] :
( ( X1 != X0 )
& ( X1 @ X2 @ lAnna_THFTYPE_i )
& ( X0 @ X2 @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f46]) ).
thf(f92,plain,
~ ? [X0: $i > $i > $o,X2: $i,X1: $i > $i > $o] :
( ( ( X0 @ X2 @ lBill_THFTYPE_i )
= $true )
& ( $true
= ( X1 @ X2 @ lAnna_THFTYPE_i ) )
& ( $true
= ( X0 != X1 ) ) ),
inference(fool_elimination,[],[f91]) ).
thf(f149,plain,
! [X0: $i > $i > $o,X2: $i,X1: $i > $i > $o] :
( ( $true
!= ( X0 != X1 ) )
| ( $true
!= ( X1 @ X2 @ lAnna_THFTYPE_i ) )
| ( ( X0 @ X2 @ lBill_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f92]) ).
thf(f158,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i > $i > $o] :
( ( ( X0 != X2 )
!= $true )
| ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
inference(rectify,[],[f149]) ).
thf(f170,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f64]) ).
thf(f182,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[],[f74]) ).
thf(f186,plain,
! [X2: $i > $i > $o,X0: $i > $i > $o,X1: $i] :
( ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( ( X0 != X2 )
!= $true ) ),
inference(cnf_transformation,[],[f158]) ).
thf(f215,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[],[f182]) ).
thf(f216,plain,
! [X2: $i > $i > $o,X0: $i > $i > $o,X1: $i] :
( ( ( X0 = X2 )
= $true )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) ) ),
inference(not_proxy_clausification,[],[f186]) ).
thf(f217,plain,
! [X2: $i > $i > $o,X0: $i > $i > $o,X1: $i] :
( ( $true
!= ( X2 @ X1 @ lAnna_THFTYPE_i ) )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( X0 = X2 ) ),
inference(equality_proxy_clausification,[],[f216]) ).
thf(f225,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) )
= X0 )
| ( ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X1
@ lAnna_THFTYPE_i )
!= $true )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
inference(primitive_instantiation,[],[f217]) ).
thf(f237,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( ( X1 = lAnna_THFTYPE_i )
!= $true )
| ( (=) = X0 )
| ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) ) ),
inference(beta-eta_normalization,[],[f225]) ).
thf(f238,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( $true
!= ( X0 @ X1 @ lBill_THFTYPE_i ) )
| ( (=) = X0 )
| ( lAnna_THFTYPE_i != X1 ) ),
inference(equality_proxy_clausification,[],[f237]) ).
thf(f245,plain,
! [X1: $i] :
( ( lAnna_THFTYPE_i != X1 )
| ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true
@ X1
@ lBill_THFTYPE_i )
!= $true ) ),
inference(primitive_instantiation,[],[f238]) ).
thf(f252,plain,
! [X1: $i] :
( ( $true != $true )
| ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ( lAnna_THFTYPE_i != X1 ) ),
inference(beta-eta_normalization,[],[f245]) ).
thf(f253,plain,
! [X1: $i] :
( ( lAnna_THFTYPE_i != X1 )
| ( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
inference(trivial_inequality_removal,[],[f252]) ).
thf(f262,plain,
( (=)
= ( ^ [Y0: $i,Y1: $i] : $true ) ),
inference(equality_resolution,[],[f253]) ).
thf(f264,plain,
! [X1: $i] :
( ( ^ [Y0: $i,Y1: $i] : $true
@ X1 )
= ( (=) @ X1 ) ),
inference(argument_congruence,[],[f262]) ).
thf(f265,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : $true )
= ( (=) @ X1 ) ),
inference(beta-eta_normalization,[],[f264]) ).
thf(f266,plain,
! [X2: $i,X1: $i] :
( ( X1 = X2 )
= ( ^ [Y0: $i] : $true
@ X2 ) ),
inference(argument_congruence,[],[f265]) ).
thf(f267,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] : $true
@ X2 ) )
| ( ( X1 = X2 )
= $true ) ),
inference(iff_proxy_clausification,[],[f266]) ).
thf(f271,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] : $true
@ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f267]) ).
thf(f272,plain,
! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( $false = $true ) ),
inference(beta-eta_normalization,[],[f271]) ).
thf(f273,plain,
! [X2: $i,X1: $i] : ( X1 = X2 ),
inference(trivial_inequality_removal,[],[f272]) ).
thf(f297,plain,
! [X0: $i] :
( $true
= ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ X0 ) ),
inference(superposition,[],[f170,f273]) ).
thf(f301,plain,
! [X0: $i,X1: $i] :
( ( parent_THFTYPE_IiioI @ X0 @ X1 )
= $true ),
inference(superposition,[],[f297,f273]) ).
thf(f598,plain,
$false = $true,
inference(forward_demodulation,[],[f215,f301]) ).
thf(f599,plain,
$false,
inference(trivial_inequality_removal,[],[f598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR139^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 17:56:03 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running higher-order theorem proving
% 0.08/0.14 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
% 0.08/0.18 % (463466)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.18 % (463478)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.18 % (463478)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
% 0.08/0.18 % (463472)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2579394475:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.18 % (463473)lrs+10_16_si=on:nwc=1.5:random_seed=2831513008:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.18 % (463476)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1521439810:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.18 % (463474)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1456809117:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.18 % (463475)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=1810135150: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)
% 0.08/0.18 % (463478)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1494319753:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.08/0.18 % (463477)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3969995501:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.18 % (463474)Instruction limit reached!
% 0.08/0.18 % (463474)------------------------------
% 0.08/0.18 % (463474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18 % (463474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18 % (463474)CaDiCaL version: 2.1.3
% 0.08/0.18 % (463474)Termination reason: Instruction limit
% 0.08/0.18 % (463474)Termination phase: Property scanning
% 0.08/0.18 % (463474)Time elapsed: 0.001 s
% 0.08/0.18 % (463474)Peak memory usage: 10 MB
% 0.08/0.18 % (463474)Instructions burned: 4 (million)
% 0.08/0.18 % (463473)Instruction limit reached!
% 0.08/0.18 % (463473)------------------------------
% 0.08/0.18 % (463473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18 % (463473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18 % (463473)CaDiCaL version: 2.1.3
% 0.08/0.18 % (463473)Termination reason: Instruction limit
% 0.08/0.18 % (463473)Termination phase: Saturation
% 0.08/0.18 % (463473)Time elapsed: 0.005 s
% 0.08/0.18 % (463473)Peak memory usage: 12 MB
% 0.08/0.18 % (463473)Instructions burned: 20 (million)
% 0.08/0.18 % (463476) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-463466-463476"...
% 0.08/0.18 % (463476)...printing done.
% 0.08/0.18 % (463476)Refutation found. Thanks to Tanya!
% 0.08/0.18 % SZS status Theorem for theBenchmark
% 0.08/0.18 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.18 % (463476)------------------------------
% 0.08/0.18 % (463476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18 % (463476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18 % (463476)CaDiCaL version: 2.1.3
% 0.08/0.18 % (463476)Termination reason: Refutation
% 0.08/0.18 % (463476)Time elapsed: 0.006 s
% 0.08/0.18 % (463476)Peak memory usage: 12 MB
% 0.08/0.18 % (463476)Instructions burned: 21 (million)
% 0.08/0.18 % (463466)Success in time 0.034 s
% 0.08/0.18 % Vampire exiting
%------------------------------------------------------------------------------