TSTP Solution File: PUZ002-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:19:14 EDT 2022
% Result : Unsatisfiable 0.18s 0.37s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 88 ( 46 unt; 12 typ; 0 def)
% Number of atoms : 301 ( 82 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 246 ( 56 ~; 61 |; 0 &; 129 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 0 ^ 61 !; 0 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_avoided,type,
avoided: $i > $o ).
thf(tp_carnivore,type,
carnivore: $i > $o ).
thf(tp_cat,type,
cat: $i > $o ).
thf(tp_detested,type,
detested: $i > $o ).
thf(tp_gazer,type,
gazer: $i > $o ).
thf(tp_in_house,type,
in_house: $i > $o ).
thf(tp_kangaroo,type,
kangaroo: $i > $o ).
thf(tp_mouse_killer,type,
mouse_killer: $i > $o ).
thf(tp_prowler,type,
prowler: $i > $o ).
thf(tp_suitable_pet,type,
suitable_pet: $i > $o ).
thf(tp_takes_to_me,type,
takes_to_me: $i > $o ).
thf(tp_the_kangaroo,type,
the_kangaroo: $i ).
thf(1,axiom,
kangaroo @ the_kangaroo,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kangaroo_is_a_kangaroo) ).
thf(2,axiom,
! [Prowler: $i] :
( ~ ( prowler @ Prowler )
| ( gazer @ Prowler ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prowlers_are_gazers) ).
thf(3,axiom,
! [Animal: $i] :
( ( takes_to_me @ Animal )
| ( detested @ Animal ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',takes_to_me_or_detested) ).
thf(4,axiom,
! [Killer: $i] :
( ~ ( mouse_killer @ Killer )
| ( carnivore @ Killer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mouse_killers_are_carnivores) ).
thf(5,axiom,
! [Kangaroo: $i] :
( ~ ( kangaroo @ Kangaroo )
| ~ ( suitable_pet @ Kangaroo ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kangaroos_are_not_pets) ).
thf(6,axiom,
! [Taken_animal: $i] :
( ~ ( takes_to_me @ Taken_animal )
| ( in_house @ Taken_animal ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_house_if_takes_to_me) ).
thf(7,axiom,
! [Cat: $i] :
( ~ ( cat @ Cat )
| ( mouse_killer @ Cat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cats_are_mice_killers) ).
thf(8,axiom,
! [Carnivore: $i] :
( ~ ( carnivore @ Carnivore )
| ( prowler @ Carnivore ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',carnivores_are_prowlers) ).
thf(9,axiom,
! [Detested: $i] :
( ~ ( detested @ Detested )
| ( avoided @ Detested ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',avoid_detested) ).
thf(10,axiom,
! [Gazer: $i] :
( ~ ( gazer @ Gazer )
| ( suitable_pet @ Gazer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gazers_are_suitable_pets) ).
thf(11,axiom,
! [Cat: $i] :
( ~ ( in_house @ Cat )
| ( cat @ Cat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_cats_in_house) ).
thf(12,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(13,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,negated_conjecture,
~ ( avoided @ the_kangaroo ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',avoid_kangaroo) ).
thf(15,plain,
$false = $false,
inference(unfold_def,[status(thm)],[13]) ).
thf(16,plain,
( ( kangaroo @ the_kangaroo )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(17,plain,
( ( ! [Prowler: $i] :
( ~ ( prowler @ Prowler )
| ( gazer @ Prowler ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(18,plain,
( ( ! [Animal: $i] :
( ( takes_to_me @ Animal )
| ( detested @ Animal ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(19,plain,
( ( ! [Killer: $i] :
( ~ ( mouse_killer @ Killer )
| ( carnivore @ Killer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(20,plain,
( ( ! [Kangaroo: $i] :
( ~ ( kangaroo @ Kangaroo )
| ~ ( suitable_pet @ Kangaroo ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(21,plain,
( ( ! [Taken_animal: $i] :
( ~ ( takes_to_me @ Taken_animal )
| ( in_house @ Taken_animal ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(22,plain,
( ( ! [Cat: $i] :
( ~ ( cat @ Cat )
| ( mouse_killer @ Cat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(23,plain,
( ( ! [Carnivore: $i] :
( ~ ( carnivore @ Carnivore )
| ( prowler @ Carnivore ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(24,plain,
( ( ! [Detested: $i] :
( ~ ( detested @ Detested )
| ( avoided @ Detested ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(25,plain,
( ( ! [Gazer: $i] :
( ~ ( gazer @ Gazer )
| ( suitable_pet @ Gazer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(26,plain,
( ( ! [Cat: $i] :
( ~ ( in_house @ Cat )
| ( cat @ Cat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(27,plain,
( ( ~ ( avoided @ the_kangaroo ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(28,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(29,plain,
( ( ! [Animal: $i] :
( ( detested @ Animal )
| ( takes_to_me @ Animal ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(30,plain,
( ( ~ ( avoided @ the_kangaroo ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(31,plain,
( ( ! [Cat: $i] :
( ~ ( in_house @ Cat )
| ( cat @ Cat ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(32,plain,
( ( ! [Gazer: $i] :
( ~ ( gazer @ Gazer )
| ( suitable_pet @ Gazer ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(33,plain,
( ( ! [Detested: $i] :
( ~ ( detested @ Detested )
| ( avoided @ Detested ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(34,plain,
( ( ! [Carnivore: $i] :
( ~ ( carnivore @ Carnivore )
| ( prowler @ Carnivore ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(35,plain,
( ( ! [Cat: $i] :
( ~ ( cat @ Cat )
| ( mouse_killer @ Cat ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(36,plain,
( ( ! [Taken_animal: $i] :
( ~ ( takes_to_me @ Taken_animal )
| ( in_house @ Taken_animal ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(37,plain,
( ( ! [Kangaroo: $i] :
( ~ ( kangaroo @ Kangaroo )
| ~ ( suitable_pet @ Kangaroo ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(38,plain,
( ( ! [Killer: $i] :
( ~ ( mouse_killer @ Killer )
| ( carnivore @ Killer ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(39,plain,
( ( ! [Animal: $i] :
( ( detested @ Animal )
| ( takes_to_me @ Animal ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(40,plain,
( ( ! [Prowler: $i] :
( ~ ( prowler @ Prowler )
| ( gazer @ Prowler ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(41,plain,
( ( kangaroo @ the_kangaroo )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(42,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(43,plain,
( ( avoided @ the_kangaroo )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(44,plain,
! [SV1: $i] :
( ( ~ ( in_house @ SV1 )
| ( cat @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(45,plain,
! [SV2: $i] :
( ( ~ ( gazer @ SV2 )
| ( suitable_pet @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(46,plain,
! [SV3: $i] :
( ( ~ ( detested @ SV3 )
| ( avoided @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(47,plain,
! [SV4: $i] :
( ( ~ ( carnivore @ SV4 )
| ( prowler @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(48,plain,
! [SV5: $i] :
( ( ~ ( cat @ SV5 )
| ( mouse_killer @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(49,plain,
! [SV6: $i] :
( ( ~ ( takes_to_me @ SV6 )
| ( in_house @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(50,plain,
! [SV7: $i] :
( ( ~ ( kangaroo @ SV7 )
| ~ ( suitable_pet @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(51,plain,
! [SV8: $i] :
( ( ~ ( mouse_killer @ SV8 )
| ( carnivore @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(52,plain,
! [SV9: $i] :
( ( ( detested @ SV9 )
| ( takes_to_me @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(53,plain,
! [SV10: $i] :
( ( ~ ( prowler @ SV10 )
| ( gazer @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(54,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(55,plain,
! [SV1: $i] :
( ( ( ~ ( in_house @ SV1 ) )
= $true )
| ( ( cat @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(56,plain,
! [SV2: $i] :
( ( ( ~ ( gazer @ SV2 ) )
= $true )
| ( ( suitable_pet @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(57,plain,
! [SV3: $i] :
( ( ( ~ ( detested @ SV3 ) )
= $true )
| ( ( avoided @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(58,plain,
! [SV4: $i] :
( ( ( ~ ( carnivore @ SV4 ) )
= $true )
| ( ( prowler @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(59,plain,
! [SV5: $i] :
( ( ( ~ ( cat @ SV5 ) )
= $true )
| ( ( mouse_killer @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(60,plain,
! [SV6: $i] :
( ( ( ~ ( takes_to_me @ SV6 ) )
= $true )
| ( ( in_house @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(61,plain,
! [SV7: $i] :
( ( ( ~ ( kangaroo @ SV7 ) )
= $true )
| ( ( ~ ( suitable_pet @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(62,plain,
! [SV8: $i] :
( ( ( ~ ( mouse_killer @ SV8 ) )
= $true )
| ( ( carnivore @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(63,plain,
! [SV9: $i] :
( ( ( detested @ SV9 )
= $true )
| ( ( takes_to_me @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(64,plain,
! [SV10: $i] :
( ( ( ~ ( prowler @ SV10 ) )
= $true )
| ( ( gazer @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(65,plain,
! [SV1: $i] :
( ( ( in_house @ SV1 )
= $false )
| ( ( cat @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(66,plain,
! [SV2: $i] :
( ( ( gazer @ SV2 )
= $false )
| ( ( suitable_pet @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(67,plain,
! [SV3: $i] :
( ( ( detested @ SV3 )
= $false )
| ( ( avoided @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(68,plain,
! [SV4: $i] :
( ( ( carnivore @ SV4 )
= $false )
| ( ( prowler @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(69,plain,
! [SV5: $i] :
( ( ( cat @ SV5 )
= $false )
| ( ( mouse_killer @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(70,plain,
! [SV6: $i] :
( ( ( takes_to_me @ SV6 )
= $false )
| ( ( in_house @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV7: $i] :
( ( ( kangaroo @ SV7 )
= $false )
| ( ( ~ ( suitable_pet @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV8: $i] :
( ( ( mouse_killer @ SV8 )
= $false )
| ( ( carnivore @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV10: $i] :
( ( ( prowler @ SV10 )
= $false )
| ( ( gazer @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(74,plain,
! [SV7: $i] :
( ( ( suitable_pet @ SV7 )
= $false )
| ( ( kangaroo @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(75,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[41,74,73,72,70,69,68,67,66,65,63,54,43]) ).
thf(76,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : PUZ002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 02:13:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 12
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (rf:0,axioms:12,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:14,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.18/0.37
% 0.18/0.37 ********************************
% 0.18/0.37 * All subproblems solved! *
% 0.18/0.37 ********************************
% 0.18/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:12,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:75,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.37
% 0.18/0.37 %**** Beginning of derivation protocol ****
% 0.18/0.37 % SZS output start CNFRefutation
% See solution above
% 0.18/0.38
% 0.18/0.38 %**** End of derivation protocol ****
% 0.18/0.38 %**** no. of clauses in derivation: 76 ****
% 0.18/0.38 %**** clause counter: 75 ****
% 0.18/0.38
% 0.18/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:12,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:75,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------