%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR140^2 : 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 : n014.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 07:47:19 AM UTC 2026
% Result : Theorem 0.06s 0.25s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 11 unt; 0 typ; 2 def)
% Number of atoms : 135 ( 33 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 111 ( 35 ~; 16 |; 4 &; 54 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 7 con; 0-4 aty)
% Number of variables : 37 ( 0 sgn 21 !; 12 ?; 37 :)
% 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(f5,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(f27,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_026) ).
thf(f45,conjecture,
? [X0: $i > $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X0 @ X1 @ lAnna_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f46,negated_conjecture,
~ ? [X0: $i > $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X0 @ X1 @ lAnna_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
thf(f55,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(rectify,[],[f5]) ).
thf(f56,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f55]) ).
thf(f99,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(rectify,[],[f27]) ).
thf(f100,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f99]) ).
thf(f135,plain,
~ ? [X0: $i > $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X0 @ X1 @ lAnna_THFTYPE_i ) ),
inference(rectify,[],[f46]) ).
thf(f136,plain,
~ ? [X0: $i > $i > $o,X1: $i,X2: $i] :
( ( ( ~ ( X0 @ X2 @ lAnna_THFTYPE_i ) )
= $true )
& ( ( X0 @ X1 @ lAnna_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f135]) ).
thf(f155,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i] :
( ( ( ~ ( X0 @ X2 @ lAnna_THFTYPE_i ) )
!= $true )
| ( ( X0 @ X1 @ lAnna_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f136]) ).
thf(f161,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f56]) ).
thf(f183,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[],[f100]) ).
thf(f201,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( ( ~ ( X0 @ X2 @ lAnna_THFTYPE_i ) )
!= $true )
| ( ( X0 @ X1 @ lAnna_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f155]) ).
thf(f206,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ X1 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X0 @ X2 @ lAnna_THFTYPE_i )
= $true ) ),
inference(not_proxy_clausification,[],[f201]) ).
thf(f207,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[],[f183]) ).
thf(f218,plain,
! [X2: $i,X1: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X1
@ lAnna_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X2
@ lAnna_THFTYPE_i ) ) ),
inference(primitive_instantiation,[],[f206]) ).
thf(f235,plain,
! [X2: $i,X1: $i] :
( ( $true
!= ( X1 = lAnna_THFTYPE_i ) )
| ( $true
= ( X2 = lAnna_THFTYPE_i ) ) ),
inference(beta-eta_normalization,[],[f218]) ).
thf(f236,plain,
! [X2: $i,X1: $i] :
( ( lAnna_THFTYPE_i != X1 )
| ( $true
= ( X2 = lAnna_THFTYPE_i ) ) ),
inference(equality_proxy_clausification,[],[f235]) ).
thf(f237,plain,
! [X2: $i,X1: $i] :
( ( lAnna_THFTYPE_i != X1 )
| ( lAnna_THFTYPE_i = X2 ) ),
inference(equality_proxy_clausification,[],[f236]) ).
thf(f239,definition,
( spl1_1
<=> ! [X2: $i] : ( lAnna_THFTYPE_i != X2 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f240,plain,
( ! [X2: $i] : ( lAnna_THFTYPE_i != X2 )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f239]) ).
thf(f242,definition,
( spl1_2
<=> ! [X1: $i] : ( lAnna_THFTYPE_i = X1 ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
thf(f243,plain,
( ! [X1: $i] : ( lAnna_THFTYPE_i = X1 )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f242]) ).
thf(f245,plain,
( spl1_2
| spl1_1 ),
inference(avatar_split_clause,[],[f237,f239,f242]) ).
thf(f286,plain,
( ( $true
= ( parent_THFTYPE_IiioI @ lAnna_THFTYPE_i @ lAnna_THFTYPE_i ) )
| ~ spl1_2 ),
inference(forward_demodulation,[],[f161,f243]) ).
thf(f387,plain,
( ( $false
= ( parent_THFTYPE_IiioI @ lAnna_THFTYPE_i @ lAnna_THFTYPE_i ) )
| ~ spl1_2 ),
inference(forward_demodulation,[],[f207,f243]) ).
thf(f392,plain,
( ( $true = $false )
| ~ spl1_2 ),
inference(constrained_superposition,[],[f387,f286]) ).
thf(f414,plain,
( $false
| ~ spl1_2 ),
inference(trivial_inequality_removal,[],[f392]) ).
thf(f415,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f414]) ).
thf(f423,plain,
( $false
| ~ spl1_1 ),
inference(equality_resolution,[],[f240]) ).
thf(f424,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f423]) ).
cnf(s2,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f245]) ).
cnf(s8,plain,
~ spl1_2,
inference(sat_conversion,[],[f415]) ).
cnf(s9,plain,
~ spl1_1,
inference(sat_conversion,[],[f424]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s2,s8,s9]) ).
thf(f425,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR140^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n014.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 17:56:15 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20 Running first-order model finding
% 0.06/0.20 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
% 0.06/0.25 % (2999652)Will run a generic schedule for satisfiability detection.
% 0.06/0.25 % (2999662)% WARNING: option uhcvi not known.
% 0.06/0.25 % (2999662)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2471723869:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.25 % (2999662)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.06/0.25 % (2999662)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.06/0.25 % (2999662) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2999652-2999662"...
% 0.06/0.25 % (2999662)...printing done.
% 0.06/0.25 % (2999661)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=221464501_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.25 % (2999662)Refutation found. Thanks to Tanya!
% 0.06/0.25 % SZS status Theorem for theBenchmark
% 0.06/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.25 % (2999662)------------------------------
% 0.06/0.25 % (2999662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.25 % (2999662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.25 % (2999662)CaDiCaL version: 2.1.3
% 0.06/0.25 % (2999662)Termination reason: Refutation
% 0.06/0.25 % (2999662)Time elapsed: 0.006 s
% 0.06/0.25 % (2999662)Peak memory usage: 13 MB
% 0.06/0.25 % (2999662)Instructions burned: 18 (million)
% 0.06/0.25 % (2999652)Success in time 0.038 s
% 0.06/0.25 % Vampire exiting
%------------------------------------------------------------------------------