TSTP Solution File: PUZ128+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.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 18:19:39 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 28 unt; 6 typ; 0 def)
% Number of atoms : 161 ( 42 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 189 ( 32 ~; 30 |; 12 &; 115 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 0 ^ 20 !; 8 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_iokaste,type,
iokaste: $i ).
thf(tp_oedipus,type,
oedipus: $i ).
thf(tp_parent_of,type,
parent_of: $i > $i > $o ).
thf(tp_patricide,type,
patricide: $i > $o ).
thf(tp_polyneikes,type,
polyneikes: $i ).
thf(tp_thersandros,type,
thersandros: $i ).
thf(1,axiom,
~ ( patricide @ thersandros ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thersandros_not_patricidal) ).
thf(2,axiom,
patricide @ oedipus,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oedipus_patricidal) ).
thf(3,axiom,
parent_of @ polyneikes @ thersandros,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',polyneikes_thersandros) ).
thf(4,axiom,
parent_of @ oedipus @ polyneikes,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oedipus_polyneikes) ).
thf(5,axiom,
parent_of @ iokaste @ polyneikes,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iokaste_polyneikes) ).
thf(6,axiom,
parent_of @ iokaste @ oedipus,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iokaste_oedipus) ).
thf(7,conjecture,
? [P: $i,NP: $i] :
( ( parent_of @ iokaste @ P )
& ( patricide @ P )
& ( parent_of @ P @ NP )
& ~ ( patricide @ NP ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iokaste_parent_particide_parent_not_patricide) ).
thf(8,negated_conjecture,
( ( ? [P: $i,NP: $i] :
( ( parent_of @ iokaste @ P )
& ( patricide @ P )
& ( parent_of @ P @ NP )
& ~ ( patricide @ NP ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
( ( ? [P: $i,NP: $i] :
( ( parent_of @ iokaste @ P )
& ( patricide @ P )
& ( parent_of @ P @ NP )
& ~ ( patricide @ NP ) ) )
= $false ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ( patricide @ thersandros ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(11,plain,
( ( patricide @ oedipus )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(12,plain,
( ( parent_of @ polyneikes @ thersandros )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(13,plain,
( ( parent_of @ oedipus @ polyneikes )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(14,plain,
( ( parent_of @ iokaste @ polyneikes )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(15,plain,
( ( parent_of @ iokaste @ oedipus )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(16,plain,
( ( ~ ? [P: $i,NP: $i] :
( ( parent_of @ iokaste @ P )
& ( patricide @ P )
& ( parent_of @ P @ NP )
& ~ ( patricide @ NP ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [P: $i,NP: $i] :
( ~ ( parent_of @ iokaste @ P )
| ~ ( patricide @ P )
| ~ ( parent_of @ P @ NP )
| ( patricide @ NP ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(18,plain,
( ( parent_of @ iokaste @ oedipus )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(19,plain,
( ( parent_of @ iokaste @ polyneikes )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(20,plain,
( ( parent_of @ oedipus @ polyneikes )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(21,plain,
( ( parent_of @ polyneikes @ thersandros )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(22,plain,
( ( patricide @ oedipus )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(23,plain,
( ( ~ ( patricide @ thersandros ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(24,plain,
( ( ! [P: $i,NP: $i] :
( ~ ( parent_of @ iokaste @ P )
| ~ ( patricide @ P )
| ~ ( parent_of @ P @ NP )
| ( patricide @ NP ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(25,plain,
( ( patricide @ thersandros )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV1: $i] :
( ( ! [SY2: $i] :
( ~ ( parent_of @ iokaste @ SV1 )
| ~ ( patricide @ SV1 )
| ~ ( parent_of @ SV1 @ SY2 )
| ( patricide @ SY2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( parent_of @ iokaste @ SV1 )
| ~ ( patricide @ SV1 )
| ~ ( parent_of @ SV1 @ SV2 )
| ( patricide @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(28,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( parent_of @ iokaste @ SV1 )
| ~ ( patricide @ SV1 )
| ~ ( parent_of @ SV1 @ SV2 ) )
= $true )
| ( ( patricide @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(29,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( parent_of @ iokaste @ SV1 )
| ~ ( patricide @ SV1 ) )
= $true )
| ( ( ~ ( parent_of @ SV1 @ SV2 ) )
= $true )
| ( ( patricide @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(30,plain,
! [SV2: $i,SV1: $i] :
( ( ( ~ ( parent_of @ iokaste @ SV1 ) )
= $true )
| ( ( ~ ( patricide @ SV1 ) )
= $true )
| ( ( ~ ( parent_of @ SV1 @ SV2 ) )
= $true )
| ( ( patricide @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(31,plain,
! [SV2: $i,SV1: $i] :
( ( ( parent_of @ iokaste @ SV1 )
= $false )
| ( ( ~ ( patricide @ SV1 ) )
= $true )
| ( ( ~ ( parent_of @ SV1 @ SV2 ) )
= $true )
| ( ( patricide @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(32,plain,
! [SV2: $i,SV1: $i] :
( ( ( patricide @ SV1 )
= $false )
| ( ( parent_of @ iokaste @ SV1 )
= $false )
| ( ( ~ ( parent_of @ SV1 @ SV2 ) )
= $true )
| ( ( patricide @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(33,plain,
! [SV2: $i,SV1: $i] :
( ( ( parent_of @ SV1 @ SV2 )
= $false )
| ( ( parent_of @ iokaste @ SV1 )
= $false )
| ( ( patricide @ SV1 )
= $false )
| ( ( patricide @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(34,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,33,25,22,21,20,19]) ).
thf(35,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 00:03:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 6
% 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: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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:8,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.12/0.37 ********************************
% 0.12/0.37 * All subproblems solved! *
% 0.12/0.37 ********************************
% 0.12/0.37 % SZS status Theorem for /export/starexec/sandbox2/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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:34,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.37
% 0.12/0.37 %**** Beginning of derivation protocol ****
% 0.12/0.37 % SZS output start CNFRefutation
% See solution above
% 0.12/0.37
% 0.12/0.37 %**** End of derivation protocol ****
% 0.12/0.37 %**** no. of clauses in derivation: 35 ****
% 0.12/0.37 %**** clause counter: 34 ****
% 0.12/0.37
% 0.12/0.37 % SZS status Theorem for /export/starexec/sandbox2/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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:34,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------