TSTP Solution File: PUZ060+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ060+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.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 18:19:32 EDT 2022
% Result : Theorem 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 38 unt; 11 typ; 0 def)
% Number of atoms : 333 ( 64 equ; 0 cnn)
% Maximal formula atoms : 14 ( 6 avg)
% Number of connectives : 505 ( 27 ~; 32 |; 73 &; 324 @)
% ( 0 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 131 ( 0 ^ 121 !; 10 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_alive,type,
alive: $i > $o ).
thf(tp_eats,type,
eats: $i > $i > $o ).
thf(tp_food,type,
food: $i > $o ).
thf(tp_likes,type,
likes: $i > $i > $o ).
thf(tp_not_killed_by,type,
not_killed_by: $i > $i > $o ).
thf(tp_sK1_Peanuts,type,
sK1_Peanuts: $i ).
thf(tp_sK2_SY12,type,
sK2_SY12: $i ).
thf(tp_sK3_SY23,type,
sK3_SY23: $i ).
thf(tp_sK4_SY33,type,
sK4_SY33: $i ).
thf(tp_sK5_SY42,type,
sK5_SY42: $i ).
thf(tp_sK6_SY50,type,
sK6_SY50: $i ).
thf(1,conjecture,
! [Peanuts: $i,John: $i,Bill: $i,Sue: $i,Apples: $i,Chicken: $i] :
( ( ! [X: $i] :
( ( food @ X )
=> ( likes @ John @ X ) )
& ( food @ Apples )
& ( food @ Chicken )
& ! [X: $i] :
( ? [Y: $i] :
( ( eats @ Y @ X )
& ( not_killed_by @ Y @ X ) )
=> ( food @ X ) )
& ( eats @ Bill @ Peanuts )
& ( alive @ Bill )
& ! [X: $i] :
( ( eats @ Bill @ X )
=> ( eats @ Sue @ X ) )
& ! [Y: $i] :
( ( alive @ Y )
=> ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
=> ( likes @ John @ Peanuts ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
( ( ! [Peanuts: $i,John: $i,Bill: $i,Sue: $i,Apples: $i,Chicken: $i] :
( ( ! [X: $i] :
( ( food @ X )
=> ( likes @ John @ X ) )
& ( food @ Apples )
& ( food @ Chicken )
& ! [X: $i] :
( ? [Y: $i] :
( ( eats @ Y @ X )
& ( not_killed_by @ Y @ X ) )
=> ( food @ X ) )
& ( eats @ Bill @ Peanuts )
& ( alive @ Bill )
& ! [X: $i] :
( ( eats @ Bill @ X )
=> ( eats @ Sue @ X ) )
& ! [Y: $i] :
( ( alive @ Y )
=> ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
=> ( likes @ John @ Peanuts ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Peanuts: $i,John: $i,Bill: $i,Sue: $i,Apples: $i,Chicken: $i] :
( ( ! [X: $i] :
( ( food @ X )
=> ( likes @ John @ X ) )
& ( food @ Apples )
& ( food @ Chicken )
& ! [X: $i] :
( ? [Y: $i] :
( ( eats @ Y @ X )
& ( not_killed_by @ Y @ X ) )
=> ( food @ X ) )
& ( eats @ Bill @ Peanuts )
& ( alive @ Bill )
& ! [X: $i] :
( ( eats @ Bill @ X )
=> ( eats @ Sue @ X ) )
& ! [Y: $i] :
( ( alive @ Y )
=> ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
=> ( likes @ John @ Peanuts ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY12: $i,SY13: $i,SY14: $i,SY15: $i,SY16: $i] :
( ( ! [X: $i] :
( ( food @ X )
=> ( likes @ SY12 @ X ) )
& ( food @ SY15 )
& ( food @ SY16 )
& ! [X: $i] :
( ? [Y: $i] :
( ( eats @ Y @ X )
& ( not_killed_by @ Y @ X ) )
=> ( food @ X ) )
& ( eats @ SY13 @ sK1_Peanuts )
& ( alive @ SY13 )
& ! [X: $i] :
( ( eats @ SY13 @ X )
=> ( eats @ SY14 @ X ) )
& ! [Y: $i] :
( ( alive @ Y )
=> ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
=> ( likes @ SY12 @ sK1_Peanuts ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY23: $i,SY24: $i,SY25: $i,SY26: $i] :
( ( ! [SY27: $i] :
( ( food @ SY27 )
=> ( likes @ sK2_SY12 @ SY27 ) )
& ( food @ SY25 )
& ( food @ SY26 )
& ! [X: $i] :
( ? [Y: $i] :
( ( eats @ Y @ X )
& ( not_killed_by @ Y @ X ) )
=> ( food @ X ) )
& ( eats @ SY23 @ sK1_Peanuts )
& ( alive @ SY23 )
& ! [X: $i] :
( ( eats @ SY23 @ X )
=> ( eats @ SY24 @ X ) )
& ! [Y: $i] :
( ( alive @ Y )
=> ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
=> ( likes @ sK2_SY12 @ sK1_Peanuts ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY33: $i,SY34: $i,SY35: $i] :
( ( ! [SY27: $i] :
( ( food @ SY27 )
=> ( likes @ sK2_SY12 @ SY27 ) )
& ( food @ SY34 )
& ( food @ SY35 )
& ! [X: $i] :
( ? [Y: $i] :
( ( eats @ Y @ X )
& ( not_killed_by @ Y @ X ) )
=> ( food @ X ) )
& ( eats @ sK3_SY23 @ sK1_Peanuts )
& ( alive @ sK3_SY23 )
& ! [SY39: $i] :
( ( eats @ sK3_SY23 @ SY39 )
=> ( eats @ SY33 @ SY39 ) )
& ! [Y: $i] :
( ( alive @ Y )
=> ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
=> ( likes @ sK2_SY12 @ sK1_Peanuts ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY42: $i,SY43: $i] :
( ( ! [SY27: $i] :
( ( food @ SY27 )
=> ( likes @ sK2_SY12 @ SY27 ) )
& ( food @ SY42 )
& ( food @ SY43 )
& ! [X: $i] :
( ? [Y: $i] :
( ( eats @ Y @ X )
& ( not_killed_by @ Y @ X ) )
=> ( food @ X ) )
& ( eats @ sK3_SY23 @ sK1_Peanuts )
& ( alive @ sK3_SY23 )
& ! [SY47: $i] :
( ( eats @ sK3_SY23 @ SY47 )
=> ( eats @ sK4_SY33 @ SY47 ) )
& ! [Y: $i] :
( ( alive @ Y )
=> ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
=> ( likes @ sK2_SY12 @ sK1_Peanuts ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY50: $i] :
( ( ! [SY27: $i] :
( ( food @ SY27 )
=> ( likes @ sK2_SY12 @ SY27 ) )
& ( food @ sK5_SY42 )
& ( food @ SY50 )
& ! [X: $i] :
( ? [Y: $i] :
( ( eats @ Y @ X )
& ( not_killed_by @ Y @ X ) )
=> ( food @ X ) )
& ( eats @ sK3_SY23 @ sK1_Peanuts )
& ( alive @ sK3_SY23 )
& ! [SY47: $i] :
( ( eats @ sK3_SY23 @ SY47 )
=> ( eats @ sK4_SY33 @ SY47 ) )
& ! [Y: $i] :
( ( alive @ Y )
=> ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
=> ( likes @ sK2_SY12 @ sK1_Peanuts ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(9,plain,
( ( ( ! [SY27: $i] :
( ( food @ SY27 )
=> ( likes @ sK2_SY12 @ SY27 ) )
& ( food @ sK5_SY42 )
& ( food @ sK6_SY50 )
& ! [X: $i] :
( ? [Y: $i] :
( ( eats @ Y @ X )
& ( not_killed_by @ Y @ X ) )
=> ( food @ X ) )
& ( eats @ sK3_SY23 @ sK1_Peanuts )
& ( alive @ sK3_SY23 )
& ! [SY47: $i] :
( ( eats @ sK3_SY23 @ SY47 )
=> ( eats @ sK4_SY33 @ SY47 ) )
& ! [Y: $i] :
( ( alive @ Y )
=> ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
=> ( likes @ sK2_SY12 @ sK1_Peanuts ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY27: $i] :
( ( food @ SY27 )
=> ( likes @ sK2_SY12 @ SY27 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(11,plain,
( ( food @ sK5_SY42 )
= $true ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(12,plain,
( ( food @ sK6_SY50 )
= $true ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(13,plain,
( ( ! [X: $i] :
( ? [Y: $i] :
( ( eats @ Y @ X )
& ( not_killed_by @ Y @ X ) )
=> ( food @ X ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(14,plain,
( ( eats @ sK3_SY23 @ sK1_Peanuts )
= $true ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(15,plain,
( ( alive @ sK3_SY23 )
= $true ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(16,plain,
( ( ! [SY47: $i] :
( ( eats @ sK3_SY23 @ SY47 )
=> ( eats @ sK4_SY33 @ SY47 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [Y: $i] :
( ( alive @ Y )
=> ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(18,plain,
( ( likes @ sK2_SY12 @ sK1_Peanuts )
= $false ),
inference(standard_cnf,[status(thm)],[9]) ).
thf(19,plain,
( ( ~ ( likes @ sK2_SY12 @ sK1_Peanuts ) )
= $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [SY27: $i] :
( ~ ( food @ SY27 )
| ( likes @ sK2_SY12 @ SY27 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(21,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
( ~ ( eats @ Y @ X )
| ~ ( not_killed_by @ Y @ X ) )
| ( food @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(22,plain,
( ( ! [SY47: $i] :
( ~ ( eats @ sK3_SY23 @ SY47 )
| ( eats @ sK4_SY33 @ SY47 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(23,plain,
( ( ! [Y: $i] :
( ~ ( alive @ Y )
| ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(24,plain,
( ( ! [Y: $i] :
( ~ ( alive @ Y )
| ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(25,plain,
( ( ! [SY47: $i] :
( ~ ( eats @ sK3_SY23 @ SY47 )
| ( eats @ sK4_SY33 @ SY47 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(26,plain,
( ( alive @ sK3_SY23 )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(27,plain,
( ( eats @ sK3_SY23 @ sK1_Peanuts )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(28,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
( ~ ( eats @ Y @ X )
| ~ ( not_killed_by @ Y @ X ) )
| ( food @ X ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(29,plain,
( ( food @ sK6_SY50 )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(30,plain,
( ( food @ sK5_SY42 )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(31,plain,
( ( ! [SY27: $i] :
( ~ ( food @ SY27 )
| ( likes @ sK2_SY12 @ SY27 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(32,plain,
( ( ~ ( likes @ sK2_SY12 @ sK1_Peanuts ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(33,plain,
! [SV1: $i] :
( ( ~ ( alive @ SV1 )
| ! [SY63: $i] : ( not_killed_by @ SV1 @ SY63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(34,plain,
! [SV2: $i] :
( ( ~ ( eats @ sK3_SY23 @ SV2 )
| ( eats @ sK4_SY33 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(35,plain,
! [SV3: $i] :
( ( ! [SY64: $i] :
( ~ ( eats @ SY64 @ SV3 )
| ~ ( not_killed_by @ SY64 @ SV3 ) )
| ( food @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
! [SV4: $i] :
( ( ~ ( food @ SV4 )
| ( likes @ sK2_SY12 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(37,plain,
( ( likes @ sK2_SY12 @ sK1_Peanuts )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV1: $i] :
( ( ( ~ ( alive @ SV1 ) )
= $true )
| ( ( ! [SY63: $i] : ( not_killed_by @ SV1 @ SY63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(39,plain,
! [SV2: $i] :
( ( ( ~ ( eats @ sK3_SY23 @ SV2 ) )
= $true )
| ( ( eats @ sK4_SY33 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV3: $i] :
( ( ( ! [SY64: $i] :
( ~ ( eats @ SY64 @ SV3 )
| ~ ( not_killed_by @ SY64 @ SV3 ) ) )
= $true )
| ( ( food @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV4: $i] :
( ( ( ~ ( food @ SV4 ) )
= $true )
| ( ( likes @ sK2_SY12 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV1: $i] :
( ( ( alive @ SV1 )
= $false )
| ( ( ! [SY63: $i] : ( not_killed_by @ SV1 @ SY63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV2: $i] :
( ( ( eats @ sK3_SY23 @ SV2 )
= $false )
| ( ( eats @ sK4_SY33 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV3: $i,SV5: $i] :
( ( ( ~ ( eats @ SV5 @ SV3 )
| ~ ( not_killed_by @ SV5 @ SV3 ) )
= $true )
| ( ( food @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV4: $i] :
( ( ( food @ SV4 )
= $false )
| ( ( likes @ sK2_SY12 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV6: $i,SV1: $i] :
( ( ( not_killed_by @ SV1 @ SV6 )
= $true )
| ( ( alive @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV3: $i,SV5: $i] :
( ( ( ~ ( eats @ SV5 @ SV3 ) )
= $true )
| ( ( ~ ( not_killed_by @ SV5 @ SV3 ) )
= $true )
| ( ( food @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV3: $i,SV5: $i] :
( ( ( eats @ SV5 @ SV3 )
= $false )
| ( ( ~ ( not_killed_by @ SV5 @ SV3 ) )
= $true )
| ( ( food @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(49,plain,
! [SV3: $i,SV5: $i] :
( ( ( not_killed_by @ SV5 @ SV3 )
= $false )
| ( ( eats @ SV5 @ SV3 )
= $false )
| ( ( food @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(50,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,49,46,45,43,37,30,29,27]) ).
thf(51,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ060+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n023.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 01:21:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.20/0.41
% 0.20/0.41 ********************************
% 0.20/0.41 * All subproblems solved! *
% 0.20/0.41 ********************************
% 0.20/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,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:50,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.41
% 0.20/0.41 %**** Beginning of derivation protocol ****
% 0.20/0.41 % SZS output start CNFRefutation
% See solution above
% 0.20/0.41
% 0.20/0.41 %**** End of derivation protocol ****
% 0.20/0.41 %**** no. of clauses in derivation: 51 ****
% 0.20/0.41 %**** clause counter: 50 ****
% 0.20/0.41
% 0.20/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,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:50,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------