%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ146^1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 08:20:59 AM UTC 2026
% Result : Theorem 0.13s 0.24s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 71 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 42 ( 9 ~; 2 |; 0 &; 31 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
hobby: $tType ).
thf(type_def_6,type,
earthling: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
peter: earthling ).
thf(func_def_1,type,
mary: earthling ).
thf(func_def_2,type,
beer_drinking: hobby ).
thf(func_def_3,type,
belly_dancing: hobby ).
thf(func_def_4,type,
weight_lifting: hobby ).
thf(func_def_5,type,
has_hobby: earthling > hobby > $o ).
thf(func_def_6,type,
peters_hobbies: hobby > $o ).
thf(func_def_7,type,
marys_hobbies: hobby > $o ).
thf(func_def_11,type,
vNOT: $o > $o ).
thf(f3,axiom,
( peters_hobbies
= ( has_hobby @ peter ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peters_hobbies_001) ).
thf(f4,axiom,
( marys_hobbies
= ( has_hobby @ mary ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',marys_hobbies_002) ).
thf(f6,axiom,
~ ( marys_hobbies @ beer_drinking ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mary_does_not_do_beer_drinking) ).
thf(f7,axiom,
peters_hobbies @ beer_drinking,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peter_does_beer_drinking) ).
thf(f9,conjecture,
peters_hobbies != marys_hobbies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peter_and_mary_have_different_hobbies) ).
thf(f10,negated_conjecture,
~ ( ( peters_hobbies != marys_hobbies ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
thf(f13,plain,
peters_hobbies @ beer_drinking,
inference(rectify,[],[f7]) ).
thf(f14,plain,
( ( peters_hobbies @ beer_drinking )
= $true ),
inference(fool_elimination,[],[f13]) ).
thf(f17,plain,
~ ( marys_hobbies @ beer_drinking ),
inference(rectify,[],[f6]) ).
thf(f18,plain,
( ( marys_hobbies @ beer_drinking )
!= $true ),
inference(fool_elimination,[],[f17]) ).
thf(f19,plain,
peters_hobbies = marys_hobbies,
inference(flattening,[],[f10]) ).
thf(f20,plain,
( ( marys_hobbies @ beer_drinking )
!= $true ),
inference(flattening,[],[f18]) ).
thf(f21,plain,
( peters_hobbies
= ( has_hobby @ peter ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f23,plain,
( ( peters_hobbies @ beer_drinking )
= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f24,plain,
( marys_hobbies
= ( has_hobby @ mary ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f25,plain,
peters_hobbies = marys_hobbies,
inference(cnf_transformation,[],[f19]) ).
thf(f31,plain,
( ( marys_hobbies @ beer_drinking )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f35,plain,
( $true
= ( has_hobby @ peter @ beer_drinking ) ),
inference(definition_unfolding,[],[f23,f21]) ).
thf(f36,plain,
( ( has_hobby @ peter )
= ( has_hobby @ mary ) ),
inference(definition_unfolding,[],[f25,f21,f24]) ).
thf(f38,plain,
( $true
!= ( has_hobby @ mary @ beer_drinking ) ),
inference(definition_unfolding,[],[f31,f24]) ).
thf(f39,plain,
! [X1: hobby] :
( ( has_hobby @ mary @ X1 )
= ( has_hobby @ peter @ X1 ) ),
inference(argument_congruence,[],[f36]) ).
thf(f40,plain,
! [X1: hobby] :
( ( ( has_hobby @ peter @ X1 )
= $false )
| ( $true
= ( has_hobby @ mary @ X1 ) ) ),
inference(iff_proxy_clausification,[],[f39]) ).
thf(f44,plain,
( ( $true
= ( has_hobby @ mary @ beer_drinking ) )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f35,f40]) ).
thf(f46,plain,
( $true
= ( has_hobby @ mary @ beer_drinking ) ),
inference(trivial_inequality_removal,[],[f44]) ).
thf(f50,plain,
$false,
inference(forward_subsumption_resolution,[],[f46,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ146^1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.16 % Computer : n003.cluster.edu
% 0.13/0.16 % Model : x86_64 x86_64
% 0.13/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.16 % Memory : 8046.5625MB
% 0.13/0.16 % OS : Linux 6.8.0-71-generic
% 0.13/0.16 % CPULimit : 300
% 0.13/0.16 % WCLimit : 300
% 0.13/0.16 % DateTime : Tue Sep 29 13:29:13 UTC 2026
% 0.13/0.16 % CPUTime :
% 0.13/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.19 Running higher-order theorem proving
% 0.13/0.20 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
% 0.13/0.24 % (2495096)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.13/0.24 % (2495102)lrs+10_16_si=on:nwc=1.5:random_seed=848681252:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.13/0.24 % (2495102) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2495096-2495102"...
% 0.13/0.24 % (2495102)...printing done.
% 0.13/0.24 % (2495102)Refutation found. Thanks to Tanya!
% 0.13/0.24 % SZS status Theorem for theBenchmark
% 0.13/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.24 % (2495102)------------------------------
% 0.13/0.24 % (2495102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.24 % (2495102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.24 % (2495102)CaDiCaL version: 2.1.3
% 0.13/0.24 % (2495102)Termination reason: Refutation
% 0.13/0.24 % (2495102)Time elapsed: 0.001 s
% 0.13/0.24 % (2495102)Peak memory usage: 12 MB
% 0.13/0.24 % (2495102)Instructions burned: 2 (million)
% 0.13/0.24 % (2495096)Success in time 0.03 s
% 0.13/0.24 % Vampire exiting
%------------------------------------------------------------------------------