%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% 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 08:21:17 AM UTC 2026
% Result : Theorem 0.08s 0.17s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 23 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 43 ( 10 ~; 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,
~ ( marys_hobbies @ beer_drinking ),
inference(rectify,[],[f6]) ).
thf(f14,plain,
( ( marys_hobbies @ beer_drinking )
!= $true ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
peters_hobbies @ beer_drinking,
inference(rectify,[],[f7]) ).
thf(f16,plain,
( ( peters_hobbies @ beer_drinking )
= $true ),
inference(fool_elimination,[],[f15]) ).
thf(f19,plain,
( ( marys_hobbies @ beer_drinking )
!= $true ),
inference(flattening,[],[f14]) ).
thf(f20,plain,
peters_hobbies = marys_hobbies,
inference(flattening,[],[f10]) ).
thf(f25,plain,
( peters_hobbies
= ( has_hobby @ peter ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f26,plain,
( marys_hobbies
= ( has_hobby @ mary ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f28,plain,
( ( marys_hobbies @ beer_drinking )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f29,plain,
( ( peters_hobbies @ beer_drinking )
= $true ),
inference(cnf_transformation,[],[f16]) ).
thf(f31,plain,
peters_hobbies = marys_hobbies,
inference(cnf_transformation,[],[f20]) ).
thf(f35,plain,
( $true
!= ( has_hobby @ mary @ beer_drinking ) ),
inference(definition_unfolding,[],[f28,f26]) ).
thf(f36,plain,
( $true
= ( has_hobby @ peter @ beer_drinking ) ),
inference(definition_unfolding,[],[f29,f25]) ).
thf(f38,plain,
( ( has_hobby @ peter )
= ( has_hobby @ mary ) ),
inference(definition_unfolding,[],[f31,f25,f26]) ).
thf(f39,plain,
! [X1: hobby] :
( ( has_hobby @ peter @ X1 )
= ( has_hobby @ mary @ X1 ) ),
inference(argument_congruence,[],[f38]) ).
thf(f41,plain,
! [X1: hobby] :
( ( $true
= ( has_hobby @ mary @ X1 ) )
| ( $false
= ( has_hobby @ peter @ X1 ) ) ),
inference(iff_proxy_clausification,[],[f39]) ).
thf(f59,plain,
( ( $true != $true )
| ( $false
= ( has_hobby @ peter @ beer_drinking ) ) ),
inference(constrained_superposition,[],[f35,f41]) ).
thf(f63,plain,
( $false
= ( has_hobby @ peter @ beer_drinking ) ),
inference(trivial_inequality_removal,[],[f59]) ).
thf(f67,plain,
$true = $false,
inference(constrained_superposition,[],[f63,f36]) ).
thf(f68,plain,
$false,
inference(trivial_inequality_removal,[],[f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ146^1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 13:27:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % (94927)Will run a generic schedule for satisfiability detection.
% 0.08/0.17 % (94933)% WARNING: option uhcvi not known.
% 0.08/0.17 % (94932)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=614194685_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.17 % (94933)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1827033460:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.17 % (94935)dis+10_1_sil=32000:sp=arity:random_seed=1286639038:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.17 % (94934)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2649370498:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.17 % (94936)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2678616512:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.17 % (94937)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1307533751:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.17 % (94933)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.17 % (94936)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.17 % (94938)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1542499383:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.17 % Exception at run slice level
% 0.08/0.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.17 % (94933)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.17 % (94936) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-94927-94936"...
% 0.08/0.17 % (94937) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-94927-94937"...
% 0.08/0.17 % (94938) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-94927-94938"...
% 0.08/0.17 % (94935) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-94927-94935"...
% 0.08/0.17 % (94933) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-94927-94933"...
% 0.08/0.17 % (94937)...printing done.
% 0.08/0.17 % (94936)...printing done.
% 0.08/0.17 % (94938)...printing done.
% 0.08/0.17 % (94934) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-94927-94934"...
% 0.08/0.17 % (94935)...printing done.
% 0.08/0.17 % (94933)...printing done.
% 0.08/0.17 % (94937)Refutation found. Thanks to Tanya!
% 0.08/0.17 % SZS status Theorem for theBenchmark
% 0.08/0.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.17 % (94937)------------------------------
% 0.08/0.17 % (94937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.17 % (94937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.17 % (94937)CaDiCaL version: 2.1.3
% 0.08/0.17 % (94937)Termination reason: Refutation
% 0.08/0.17 % (94937)Time elapsed: 0.001 s
% 0.08/0.17 % (94937)Peak memory usage: 12 MB
% 0.08/0.17 % (94937)Instructions burned: 3 (million)
% 0.08/0.17 % (94927)Success in time 0.038 s
% 0.08/0.17 % Vampire exiting
%------------------------------------------------------------------------------