%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR136^1 : 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 : n007.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 07:47:07 AM UTC 2026
% Result : Theorem 0.22s 0.26s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 16 unt; 0 typ; 3 def)
% Number of atoms : 222 ( 39 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 217 ( 45 ~; 25 |; 8 &; 126 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 15 usr; 9 con; 0-4 aty)
% ( 10 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 30 ( 0 sgn 16 !; 4 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_6,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_7,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_9,type,
vNOT: $o > $o ).
thf(func_def_12,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_13,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_17,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(f2,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(f3,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(f9,conjecture,
? [X0: $i > $i > $o] :
( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [X2: $i,X1: $i] : ( X0 @ X1 @ X2 )
& ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f10,negated_conjecture,
~ ? [X0: $i > $i > $o] :
( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [X2: $i,X1: $i] : ( X0 @ X1 @ X2 )
& ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
thf(f15,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(rectify,[],[f2]) ).
thf(f16,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f15]) ).
thf(f19,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(rectify,[],[f3]) ).
thf(f20,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f19]) ).
thf(f23,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(rectify,[],[f1]) ).
thf(f24,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f23]) ).
thf(f27,plain,
~ ? [X0: $i > $i > $o] :
( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [X1: $i,X2: $i] : ( X0 @ X2 @ X1 )
& ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f10]) ).
thf(f28,plain,
~ ? [X0: $i > $i > $o] :
( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
& ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
& ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f27]) ).
thf(f29,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f28]) ).
thf(f30,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f33,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f24]) ).
thf(f35,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[],[f16]) ).
thf(f37,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f40,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[],[f35]) ).
thf(f41,plain,
! [X0: $i > $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
= $true )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f30]) ).
thf(f42,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f43,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( !! @ $i @ ( X0 @ X1 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ X1 @ X2 )
= $true )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f43]) ).
thf(f56,definition,
( spl0_3
<=> ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f58,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
thf(f59,plain,
spl0_3,
inference(avatar_split_clause,[],[f33,f56]) ).
thf(f76,definition,
( spl0_7
<=> ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f78,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f79,plain,
spl0_7,
inference(avatar_split_clause,[],[f40,f76]) ).
thf(f81,definition,
( spl0_8
<=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f84,plain,
spl0_8,
inference(avatar_split_clause,[],[f37,f81]) ).
thf(f141,plain,
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( $false = $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ~ spl0_7 ),
inference(superposition,[],[f78,f44]) ).
thf(f143,plain,
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f141]) ).
thf(f145,plain,
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f143,f58]) ).
thf(f155,plain,
( ~ spl0_8
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f145,f76,f56,f81]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f59]) ).
cnf(s7,plain,
spl0_7,
inference(sat_conversion,[],[f79]) ).
cnf(s8,plain,
spl0_8,
inference(sat_conversion,[],[f84]) ).
cnf(s19,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f155]) ).
cnf(s22,plain,
~ spl0_3,
inference(rat,[],[s19,s8,s7]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s3,s22]) ).
thf(f156,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR136^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:53:56 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 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
% 0.22/0.26 % (3715858)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.26 % (3715866)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=3130519115: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)
% 0.22/0.26 % (3715866) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3715858-3715866"...
% 0.22/0.26 % (3715866)...printing done.
% 0.22/0.26 % (3715866)Refutation found. Thanks to Tanya!
% 0.22/0.26 % SZS status Theorem for theBenchmark
% 0.22/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.26 % (3715866)------------------------------
% 0.22/0.26 % (3715866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.26 % (3715866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.26 % (3715866)CaDiCaL version: 2.1.3
% 0.22/0.26 % (3715866)Termination reason: Refutation
% 0.22/0.26 % (3715866)Time elapsed: 0.003 s
% 0.22/0.26 % (3715866)Peak memory usage: 13 MB
% 0.22/0.26 % (3715866)Instructions burned: 6 (million)
% 0.22/0.26 % (3715858)Success in time 0.032 s
% 0.22/0.26 % Vampire exiting
%------------------------------------------------------------------------------