TSTP Solution File: PUZ146^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ146^1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.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 18:19:41 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 75 ( 50 unt; 10 typ; 2 def)
% Number of atoms : 267 ( 119 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 256 ( 90 ~; 32 |; 8 &; 126 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 0 ^ 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_earthling,type,
earthling: $tType ).
thf(tp_hobby,type,
hobby: $tType ).
thf(tp_beer_drinking,type,
beer_drinking: hobby ).
thf(tp_belly_dancing,type,
belly_dancing: hobby ).
thf(tp_has_hobby,type,
has_hobby: earthling > hobby > $o ).
thf(tp_mary,type,
mary: earthling ).
thf(tp_marys_hobbies,type,
marys_hobbies: hobby > $o ).
thf(tp_peter,type,
peter: earthling ).
thf(tp_peters_hobbies,type,
peters_hobbies: hobby > $o ).
thf(tp_weight_lifting,type,
weight_lifting: hobby ).
thf(marys_hobbies,definition,
( marys_hobbies
= ( has_hobby @ mary ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',marys_hobbies) ).
thf(peters_hobbies,definition,
( peters_hobbies
= ( has_hobby @ peter ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peters_hobbies) ).
thf(1,axiom,
peters_hobbies @ weight_lifting,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peter_does_weight_lifting) ).
thf(2,axiom,
peters_hobbies @ beer_drinking,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peter_does_beer_drinking) ).
thf(3,axiom,
~ ( marys_hobbies @ beer_drinking ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mary_does_not_do_beer_drinking) ).
thf(4,axiom,
marys_hobbies @ belly_dancing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mary_does_belly_dancing) ).
thf(5,axiom,
( ( beer_drinking != belly_dancing )
& ( belly_dancing != weight_lifting )
& ( beer_drinking != weight_lifting ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_the_same_2) ).
thf(6,axiom,
peter != mary,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_the_same_1) ).
thf(7,conjecture,
peters_hobbies != marys_hobbies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peter_and_mary_have_different_hobbies) ).
thf(8,negated_conjecture,
( ( ( peters_hobbies != marys_hobbies ) )
= $false ),
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
( ( ( ( has_hobby @ peter )
!= ( has_hobby @ mary ) ) )
= $false ),
inference(unfold_def,[status(thm)],[8,marys_hobbies,peters_hobbies]) ).
thf(10,plain,
( ( has_hobby @ peter @ weight_lifting )
= $true ),
inference(unfold_def,[status(thm)],[1,marys_hobbies,peters_hobbies]) ).
thf(11,plain,
( ( has_hobby @ peter @ beer_drinking )
= $true ),
inference(unfold_def,[status(thm)],[2,marys_hobbies,peters_hobbies]) ).
thf(12,plain,
( ( ~ ( has_hobby @ mary @ beer_drinking ) )
= $true ),
inference(unfold_def,[status(thm)],[3,marys_hobbies,peters_hobbies]) ).
thf(13,plain,
( ( has_hobby @ mary @ belly_dancing )
= $true ),
inference(unfold_def,[status(thm)],[4,marys_hobbies,peters_hobbies]) ).
thf(14,plain,
( ( ( beer_drinking != belly_dancing )
& ( belly_dancing != weight_lifting )
& ( beer_drinking != weight_lifting ) )
= $true ),
inference(unfold_def,[status(thm)],[5,marys_hobbies,peters_hobbies]) ).
thf(15,plain,
( ( ( peter != mary ) )
= $true ),
inference(unfold_def,[status(thm)],[6,marys_hobbies,peters_hobbies]) ).
thf(16,plain,
( ( ~ ( ( ( has_hobby @ peter )
!= ( has_hobby @ mary ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(17,plain,
( ( ( has_hobby @ peter )
= ( has_hobby @ mary ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(18,plain,
( ( ( beer_drinking != weight_lifting )
& ( beer_drinking != belly_dancing )
& ( belly_dancing != weight_lifting ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(19,plain,
( ( ( peter != mary ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(20,plain,
( ( ( peter != mary ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(21,plain,
( ( ( beer_drinking != weight_lifting )
& ( beer_drinking != belly_dancing )
& ( belly_dancing != weight_lifting ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(22,plain,
( ( has_hobby @ mary @ belly_dancing )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(23,plain,
( ( ~ ( has_hobby @ mary @ beer_drinking ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(24,plain,
( ( has_hobby @ peter @ beer_drinking )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(25,plain,
( ( has_hobby @ peter @ weight_lifting )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(26,plain,
( ( ( has_hobby @ peter )
= ( has_hobby @ mary ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(27,plain,
( ( ~ ( ~ ( ( beer_drinking != weight_lifting ) )
| ~ ~ ( ~ ( ( beer_drinking != belly_dancing ) )
| ~ ( ( belly_dancing != weight_lifting ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21,marys_hobbies,peters_hobbies]) ).
thf(28,plain,
( ( peter = mary )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(29,plain,
( ( has_hobby @ mary @ beer_drinking )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(30,plain,
( ( ! [SV1: hobby] :
( ( has_hobby @ peter @ SV1 )
= ( has_hobby @ mary @ SV1 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( ( has_hobby @ peter )
= ( has_hobby @ mary ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[26]) ).
thf(32,plain,
( ( ~ ( ( beer_drinking != weight_lifting ) )
| ~ ~ ( ~ ( ( beer_drinking != belly_dancing ) )
| ~ ( ( belly_dancing != weight_lifting ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV2: hobby] :
( ( ( has_hobby @ peter @ SV2 )
= ( has_hobby @ mary @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ~ ( ( beer_drinking != weight_lifting ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(35,plain,
( ( ~ ~ ( ~ ( ( beer_drinking != belly_dancing ) )
| ~ ( ( belly_dancing != weight_lifting ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: hobby] :
( ( ~ ( ( has_hobby @ peter @ SV2 )
| ( has_hobby @ mary @ SV2 ) )
| ~ ( ~ ( has_hobby @ peter @ SV2 )
| ~ ( has_hobby @ mary @ SV2 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV2: hobby] :
( ( ( has_hobby @ peter @ SV2 )
= ( has_hobby @ mary @ SV2 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[33]) ).
thf(38,plain,
( ( ( beer_drinking != weight_lifting ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(39,plain,
( ( ~ ( ~ ( ( beer_drinking != belly_dancing ) )
| ~ ( ( belly_dancing != weight_lifting ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV2: hobby] :
( ( ( ~ ( ( has_hobby @ peter @ SV2 )
| ( has_hobby @ mary @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ( has_hobby @ peter @ SV2 )
| ~ ( has_hobby @ mary @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(41,plain,
( ( beer_drinking = weight_lifting )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(42,plain,
( ( ~ ( ( beer_drinking != belly_dancing ) )
| ~ ( ( belly_dancing != weight_lifting ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(43,plain,
! [SV2: hobby] :
( ( ( ( has_hobby @ peter @ SV2 )
| ( has_hobby @ mary @ SV2 ) )
= $false )
| ( ( ~ ( ~ ( has_hobby @ peter @ SV2 )
| ~ ( has_hobby @ mary @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(44,plain,
( ( ~ ( ( beer_drinking != belly_dancing ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(45,plain,
( ( ~ ( ( belly_dancing != weight_lifting ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(46,plain,
! [SV2: hobby] :
( ( ( has_hobby @ peter @ SV2 )
= $false )
| ( ( ~ ( ~ ( has_hobby @ peter @ SV2 )
| ~ ( has_hobby @ mary @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(47,plain,
! [SV2: hobby] :
( ( ( has_hobby @ mary @ SV2 )
= $false )
| ( ( ~ ( ~ ( has_hobby @ peter @ SV2 )
| ~ ( has_hobby @ mary @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(48,plain,
( ( ( beer_drinking != belly_dancing ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(49,plain,
( ( ( belly_dancing != weight_lifting ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(50,plain,
! [SV2: hobby] :
( ( ( ~ ( has_hobby @ peter @ SV2 )
| ~ ( has_hobby @ mary @ SV2 ) )
= $false )
| ( ( has_hobby @ peter @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV2: hobby] :
( ( ( ~ ( has_hobby @ peter @ SV2 )
| ~ ( has_hobby @ mary @ SV2 ) )
= $false )
| ( ( has_hobby @ mary @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(52,plain,
( ( beer_drinking = belly_dancing )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(53,plain,
( ( belly_dancing = weight_lifting )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV2: hobby] :
( ( ( ~ ( has_hobby @ peter @ SV2 ) )
= $false )
| ( ( has_hobby @ peter @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV2: hobby] :
( ( ( ~ ( has_hobby @ mary @ SV2 ) )
= $false )
| ( ( has_hobby @ peter @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(56,plain,
! [SV2: hobby] :
( ( ( ~ ( has_hobby @ peter @ SV2 ) )
= $false )
| ( ( has_hobby @ mary @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(57,plain,
! [SV2: hobby] :
( ( ( ~ ( has_hobby @ mary @ SV2 ) )
= $false )
| ( ( has_hobby @ mary @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(58,plain,
! [SV2: hobby] :
( ( ( has_hobby @ peter @ SV2 )
= $true )
| ( ( has_hobby @ peter @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(59,plain,
! [SV2: hobby] :
( ( ( has_hobby @ mary @ SV2 )
= $true )
| ( ( has_hobby @ peter @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV2: hobby] :
( ( ( has_hobby @ peter @ SV2 )
= $true )
| ( ( has_hobby @ mary @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV2: hobby] :
( ( ( has_hobby @ mary @ SV2 )
= $true )
| ( ( has_hobby @ mary @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(62,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,61,60,59,58,53,52,41,37,31,29,28,25,24]) ).
thf(63,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ146^1 : TPTP v8.1.0. Released v6.4.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 02:36:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 6
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 282
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:6,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:8,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.13/0.38 ********************************
% 0.13/0.38 * All subproblems solved! *
% 0.13/0.38 ********************************
% 0.13/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:62,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.38
% 0.13/0.38 %**** Beginning of derivation protocol ****
% 0.13/0.38 % SZS output start CNFRefutation
% See solution above
% 0.13/0.38
% 0.13/0.38 %**** End of derivation protocol ****
% 0.13/0.38 %**** no. of clauses in derivation: 63 ****
% 0.13/0.38 %**** clause counter: 62 ****
% 0.13/0.38
% 0.13/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:62,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------