TSTP Solution File: PUZ001+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.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 : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 100 ( 67 unt; 9 typ; 0 def)
% Number of atoms : 358 ( 133 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 370 ( 59 ~; 59 |; 4 &; 234 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 80 ( 0 ^ 76 !; 4 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_agatha,type,
agatha: $i ).
thf(tp_butler,type,
butler: $i ).
thf(tp_charles,type,
charles: $i ).
thf(tp_hates,type,
hates: $i > $i > $o ).
thf(tp_killed,type,
killed: $i > $i > $o ).
thf(tp_lives,type,
lives: $i > $o ).
thf(tp_richer,type,
richer: $i > $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_X,type,
sK2_X: $i ).
thf(1,axiom,
agatha != butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_11) ).
thf(2,axiom,
! [X: $i] :
? [Y: $i] :
~ ( hates @ X @ Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_10) ).
thf(3,axiom,
! [X: $i] :
( ( hates @ agatha @ X )
=> ( hates @ butler @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_9) ).
thf(4,axiom,
! [X: $i] :
( ~ ( richer @ X @ agatha )
=> ( hates @ butler @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_8) ).
thf(5,axiom,
! [X: $i] :
( ( X != butler )
=> ( hates @ agatha @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_7) ).
thf(6,axiom,
! [X: $i] :
( ( hates @ agatha @ X )
=> ~ ( hates @ charles @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_6) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( killed @ X @ Y )
=> ~ ( richer @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_5) ).
thf(8,axiom,
! [X: $i,Y: $i] :
( ( killed @ X @ Y )
=> ( hates @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_4) ).
thf(9,axiom,
! [X: $i] :
( ( lives @ X )
=> ( ( X = agatha )
| ( X = butler )
| ( X = charles ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_3) ).
thf(10,axiom,
lives @ charles,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_2_3) ).
thf(11,axiom,
lives @ butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_2_2) ).
thf(12,axiom,
lives @ agatha,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_2_1) ).
thf(13,axiom,
? [X: $i] :
( ( lives @ X )
& ( killed @ X @ agatha ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_1) ).
thf(14,conjecture,
killed @ agatha @ agatha,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55) ).
thf(15,negated_conjecture,
( ( killed @ agatha @ agatha )
= $false ),
inference(negate_conjecture,[status(cth)],[14]) ).
thf(16,plain,
( ( killed @ agatha @ agatha )
= $false ),
inference(unfold_def,[status(thm)],[15]) ).
thf(17,plain,
( ( ( agatha != butler ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(18,plain,
( ( ! [X: $i] :
? [Y: $i] :
~ ( hates @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(19,plain,
( ( ! [X: $i] :
( ( hates @ agatha @ X )
=> ( hates @ butler @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(20,plain,
( ( ! [X: $i] :
( ~ ( richer @ X @ agatha )
=> ( hates @ butler @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(21,plain,
( ( ! [X: $i] :
( ( X != butler )
=> ( hates @ agatha @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(22,plain,
( ( ! [X: $i] :
( ( hates @ agatha @ X )
=> ~ ( hates @ charles @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i] :
( ( killed @ X @ Y )
=> ~ ( richer @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i] :
( ( killed @ X @ Y )
=> ( hates @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(25,plain,
( ( ! [X: $i] :
( ( lives @ X )
=> ( ( X = agatha )
| ( X = butler )
| ( X = charles ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(26,plain,
( ( lives @ charles )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(27,plain,
( ( lives @ butler )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(28,plain,
( ( lives @ agatha )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(29,plain,
( ( ? [X: $i] :
( ( lives @ X )
& ( killed @ X @ agatha ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(30,plain,
( ( ~ ( killed @ agatha @ agatha ) )
= $true ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(31,plain,
( ( ( agatha != butler ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(32,plain,
( ( ! [X: $i] :
~ ( hates @ X @ ( sK1_Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(33,plain,
( ( ! [X: $i] :
( ~ ( hates @ agatha @ X )
| ( hates @ butler @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(34,plain,
( ( ! [X: $i] :
( ( richer @ X @ agatha )
| ( hates @ butler @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(35,plain,
( ( ! [X: $i] :
( ( X = butler )
| ( hates @ agatha @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(36,plain,
( ( ! [X: $i] :
( ~ ( hates @ agatha @ X )
| ~ ( hates @ charles @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(37,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( killed @ X @ Y )
| ~ ( richer @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(38,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( killed @ X @ Y )
| ( hates @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(39,plain,
( ( ! [X: $i] :
( ~ ( lives @ X )
| ( X = charles )
| ( X = agatha )
| ( X = butler ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(40,plain,
( ( ( killed @ sK2_X @ agatha )
& ( lives @ sK2_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(41,plain,
( ( ( killed @ sK2_X @ agatha )
& ( lives @ sK2_X ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(42,plain,
( ( lives @ agatha )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(43,plain,
( ( lives @ butler )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(44,plain,
( ( lives @ charles )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(45,plain,
( ( ! [X: $i] :
( ~ ( lives @ X )
| ( X = charles )
| ( X = agatha )
| ( X = butler ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( killed @ X @ Y )
| ( hates @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( killed @ X @ Y )
| ~ ( richer @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(48,plain,
( ( ! [X: $i] :
( ~ ( hates @ agatha @ X )
| ~ ( hates @ charles @ X ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(49,plain,
( ( ! [X: $i] :
( ( X = butler )
| ( hates @ agatha @ X ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(50,plain,
( ( ! [X: $i] :
( ( richer @ X @ agatha )
| ( hates @ butler @ X ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(51,plain,
( ( ! [X: $i] :
( ~ ( hates @ agatha @ X )
| ( hates @ butler @ X ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(52,plain,
( ( ! [X: $i] :
~ ( hates @ X @ ( sK1_Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(53,plain,
( ( ( agatha != butler ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(54,plain,
( ( ~ ( killed @ agatha @ agatha ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(55,plain,
( ( ~ ( ~ ( killed @ sK2_X @ agatha )
| ~ ( lives @ sK2_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(56,plain,
! [SV1: $i] :
( ( ~ ( lives @ SV1 )
| ( SV1 = charles )
| ( SV1 = agatha )
| ( SV1 = butler ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(57,plain,
! [SV2: $i] :
( ( ! [SY12: $i] :
( ~ ( killed @ SV2 @ SY12 )
| ( hates @ SV2 @ SY12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(58,plain,
! [SV3: $i] :
( ( ! [SY13: $i] :
( ~ ( killed @ SV3 @ SY13 )
| ~ ( richer @ SV3 @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(59,plain,
! [SV4: $i] :
( ( ~ ( hates @ agatha @ SV4 )
| ~ ( hates @ charles @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(60,plain,
! [SV5: $i] :
( ( ( SV5 = butler )
| ( hates @ agatha @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(61,plain,
! [SV6: $i] :
( ( ( richer @ SV6 @ agatha )
| ( hates @ butler @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(62,plain,
! [SV7: $i] :
( ( ~ ( hates @ agatha @ SV7 )
| ( hates @ butler @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(63,plain,
! [SV8: $i] :
( ( ~ ( hates @ SV8 @ ( sK1_Y @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(64,plain,
( ( agatha = butler )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(65,plain,
( ( killed @ agatha @ agatha )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(66,plain,
( ( ~ ( killed @ sK2_X @ agatha )
| ~ ( lives @ sK2_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(67,plain,
! [SV1: $i] :
( ( ( ~ ( lives @ SV1 ) )
= $true )
| ( ( ( SV1 = charles )
| ( SV1 = agatha )
| ( SV1 = butler ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(68,plain,
! [SV9: $i,SV2: $i] :
( ( ~ ( killed @ SV2 @ SV9 )
| ( hates @ SV2 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(69,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( killed @ SV3 @ SV10 )
| ~ ( richer @ SV3 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(70,plain,
! [SV4: $i] :
( ( ( ~ ( hates @ agatha @ SV4 ) )
= $true )
| ( ( ~ ( hates @ charles @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(71,plain,
! [SV5: $i] :
( ( ( SV5 = butler )
= $true )
| ( ( hates @ agatha @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(72,plain,
! [SV6: $i] :
( ( ( richer @ SV6 @ agatha )
= $true )
| ( ( hates @ butler @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(73,plain,
! [SV7: $i] :
( ( ( ~ ( hates @ agatha @ SV7 ) )
= $true )
| ( ( hates @ butler @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(74,plain,
! [SV8: $i] :
( ( hates @ SV8 @ ( sK1_Y @ SV8 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(75,plain,
( ( ~ ( killed @ sK2_X @ agatha ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(76,plain,
( ( ~ ( lives @ sK2_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(77,plain,
! [SV1: $i] :
( ( ( lives @ SV1 )
= $false )
| ( ( ( SV1 = charles )
| ( SV1 = agatha )
| ( SV1 = butler ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(78,plain,
! [SV9: $i,SV2: $i] :
( ( ( ~ ( killed @ SV2 @ SV9 ) )
= $true )
| ( ( hates @ SV2 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(79,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( killed @ SV3 @ SV10 ) )
= $true )
| ( ( ~ ( richer @ SV3 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(80,plain,
! [SV4: $i] :
( ( ( hates @ agatha @ SV4 )
= $false )
| ( ( ~ ( hates @ charles @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(81,plain,
! [SV7: $i] :
( ( ( hates @ agatha @ SV7 )
= $false )
| ( ( hates @ butler @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(82,plain,
( ( killed @ sK2_X @ agatha )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(83,plain,
( ( lives @ sK2_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(84,plain,
! [SV1: $i] :
( ( ( SV1 = charles )
= $true )
| ( ( ( SV1 = agatha )
| ( SV1 = butler ) )
= $true )
| ( ( lives @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(85,plain,
! [SV9: $i,SV2: $i] :
( ( ( killed @ SV2 @ SV9 )
= $false )
| ( ( hates @ SV2 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(86,plain,
! [SV10: $i,SV3: $i] :
( ( ( killed @ SV3 @ SV10 )
= $false )
| ( ( ~ ( richer @ SV3 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(87,plain,
! [SV4: $i] :
( ( ( hates @ charles @ SV4 )
= $false )
| ( ( hates @ agatha @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(88,plain,
! [SV1: $i] :
( ( ( SV1 = agatha )
= $true )
| ( ( SV1 = butler )
= $true )
| ( ( SV1 = charles )
= $true )
| ( ( lives @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV10: $i,SV3: $i] :
( ( ( richer @ SV3 @ SV10 )
= $false )
| ( ( killed @ SV3 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(90,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[42,89,88,87,85,83,82,81,74,72,71,65,64,44,43]) ).
thf(91,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat May 28 22:23:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 13
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:13,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:15,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.13/0.40
% 0.13/0.40 ********************************
% 0.13/0.40 * All subproblems solved! *
% 0.13/0.40 ********************************
% 0.13/0.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,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:90,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.41
% 0.13/0.41 %**** Beginning of derivation protocol ****
% 0.13/0.41 % SZS output start CNFRefutation
% See solution above
% 0.13/0.41
% 0.13/0.41 %**** End of derivation protocol ****
% 0.13/0.41 %**** no. of clauses in derivation: 91 ****
% 0.13/0.41 %**** clause counter: 90 ****
% 0.13/0.41
% 0.13/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,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:90,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------