TSTP Solution File: SYO006^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO006^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n014.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 : Thu Jul 21 17:31:19 EDT 2022
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 73 ( 46 unt; 3 typ; 1 def)
% Number of atoms : 307 ( 92 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 162 ( 65 ~; 41 |; 4 &; 32 @)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 2 ^ 21 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_leibeq,type,
leibeq: $o > $o > $o ).
thf(tp_sK1_SY0,type,
sK1_SY0: $o ).
thf(tp_sK2_SY8,type,
sK2_SY8: $o ).
thf(leibeq,definition,
( leibeq
= ( ^ [U: $o,V: $o] :
! [Q: $o > $o] :
( ( Q @ U )
=> ( Q @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leibeq) ).
thf(1,conjecture,
! [A: $o,B: $o] :
( ( leibeq @ A @ B )
=> ( A
<=> B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
( ( ! [A: $o,B: $o] :
( ( leibeq @ A @ B )
=> ( A
<=> B ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY0: $o,SY1: $o] :
( ! [SY4: $o > $o] :
( ( SY4 @ SY0 )
=> ( SY4 @ SY1 ) )
=> ( SY0
<=> SY1 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,leibeq]) ).
thf(4,plain,
( ( ! [SY8: $o] :
( ! [SY9: $o > $o] :
( ( SY9 @ sK1_SY0 )
=> ( SY9 @ SY8 ) )
=> ( sK1_SY0
<=> SY8 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY10: $o > $o] :
( ( SY10 @ sK1_SY0 )
=> ( SY10 @ sK2_SY8 ) )
=> ( sK1_SY0
<=> sK2_SY8 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY10: $o > $o] :
( ( SY10 @ sK1_SY0 )
=> ( SY10 @ sK2_SY8 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( sK1_SY0
<=> sK2_SY8 )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( sK1_SY0
=> sK2_SY8 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(9,plain,
( ( sK2_SY8
=> sK1_SY0 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(10,plain,
( ( ~ ( sK1_SY0
=> sK2_SY8 ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( sK2_SY8
=> sK1_SY0 ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(12,plain,
( ( sK1_SY0
& ~ sK2_SY8 )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(13,plain,
( ( sK2_SY8
& ~ sK1_SY0 )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(14,plain,
( ( ! [SY10: $o > $o] :
( ~ ( SY10 @ sK1_SY0 )
| ( SY10 @ sK2_SY8 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(15,plain,
( ( ! [SY10: $o > $o] :
( ~ ( SY10 @ sK1_SY0 )
| ( SY10 @ sK2_SY8 ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,plain,
( ( sK1_SY0
& ~ sK2_SY8 )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(17,plain,
( ( ~ ( ~ sK1_SY0
| ~ ~ sK2_SY8 ) )
= $true ),
inference(unfold_def,[status(thm)],[16,leibeq]) ).
thf(18,plain,
! [SV1: $o > $o] :
( ( ~ ( SV1 @ sK1_SY0 )
| ( SV1 @ sK2_SY8 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ $true
| $true )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[15]) ).
thf(20,plain,
( ( ~ $false
| $false )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[15]) ).
thf(21,plain,
( ( ~ sK1_SY0
| sK2_SY8 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[15]) ).
thf(22,plain,
( ( ~ ~ sK1_SY0
| ~ sK2_SY8 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[15]) ).
thf(23,plain,
( ( ~ sK1_SY0
| ~ ~ sK2_SY8 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(24,plain,
! [SV1: $o > $o] :
( ( ( ~ ( SV1 @ sK1_SY0 ) )
= $true )
| ( ( SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(25,plain,
( ( ( ~ $true )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(26,plain,
( ( ( ~ $false )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(27,plain,
( ( ( ~ sK1_SY0 )
= $true )
| ( sK2_SY8 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(28,plain,
( ( ( ~ ~ sK1_SY0 )
= $true )
| ( ( ~ sK2_SY8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(29,plain,
( ( ~ sK1_SY0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(30,plain,
( ( ~ ~ sK2_SY8 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(31,plain,
! [SV1: $o > $o] :
( ( ( SV1 @ sK1_SY0 )
= $false )
| ( ( SV1 @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(32,plain,
( ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(33,plain,
( ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(34,plain,
( ( sK1_SY0 = $false )
| ( sK2_SY8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(35,plain,
( ( ( ~ sK1_SY0 )
= $false )
| ( ( ~ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(36,plain,
sK1_SY0 = $true,
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(37,plain,
( ( ~ sK2_SY8 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(38,plain,
( ( sK1_SY0 = $true )
| ( ( ~ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(39,plain,
sK2_SY8 = $false,
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
( ( sK2_SY8 = $false )
| ( sK1_SY0 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(41,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[31,40,39,36,34,33,32]) ).
thf(42,plain,
( ( ! [SY10: $o > $o] :
( ~ ( SY10 @ sK1_SY0 )
| ( SY10 @ sK2_SY8 ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(43,plain,
( ( sK2_SY8
& ~ sK1_SY0 )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(44,plain,
( ( ~ ( ~ sK2_SY8
| ~ ~ sK1_SY0 ) )
= $true ),
inference(unfold_def,[status(thm)],[43,leibeq]) ).
thf(45,plain,
! [SV3: $o > $o] :
( ( ~ ( SV3 @ sK1_SY0 )
| ( SV3 @ sK2_SY8 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[42]) ).
thf(46,plain,
( ( ~ $true
| $true )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[42]) ).
thf(47,plain,
( ( ~ $false
| $false )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[42]) ).
thf(48,plain,
( ( ~ sK1_SY0
| sK2_SY8 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[42]) ).
thf(49,plain,
( ( ~ ~ sK1_SY0
| ~ sK2_SY8 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[42]) ).
thf(50,plain,
( ( ~ sK2_SY8
| ~ ~ sK1_SY0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV3: $o > $o] :
( ( ( ~ ( SV3 @ sK1_SY0 ) )
= $true )
| ( ( SV3 @ sK2_SY8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(52,plain,
( ( ( ~ $true )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(53,plain,
( ( ( ~ $false )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(54,plain,
( ( ( ~ sK1_SY0 )
= $true )
| ( sK2_SY8 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(55,plain,
( ( ( ~ ~ sK1_SY0 )
= $true )
| ( ( ~ sK2_SY8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(56,plain,
( ( ~ sK2_SY8 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(57,plain,
( ( ~ ~ sK1_SY0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(58,plain,
! [SV3: $o > $o] :
( ( ( SV3 @ sK1_SY0 )
= $false )
| ( ( SV3 @ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(59,plain,
( ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(60,plain,
( ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(61,plain,
( ( sK1_SY0 = $false )
| ( sK2_SY8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(62,plain,
( ( ( ~ sK1_SY0 )
= $false )
| ( ( ~ sK2_SY8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
sK2_SY8 = $true,
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(64,plain,
( ( ~ sK1_SY0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(65,plain,
( ( sK1_SY0 = $true )
| ( ( ~ sK2_SY8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(66,plain,
sK1_SY0 = $false,
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(67,plain,
( ( sK2_SY8 = $false )
| ( sK1_SY0 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(68,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[58,67,66,63,61,60,59]) ).
thf(69,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[68,41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO006^1 : TPTP v8.1.0. Released v3.7.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 15:21:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35
% 0.14/0.35 No.of.Axioms: 0
% 0.14/0.35
% 0.14/0.35 Length.of.Defs: 150
% 0.14/0.35
% 0.14/0.35 Contains.Choice.Funs: false
% 0.14/0.35 (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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.14/0.40
% 0.14/0.40 ********************************
% 0.14/0.40 * All subproblems solved! *
% 0.14/0.40 ********************************
% 0.14/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:68,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.40
% 0.14/0.40 %**** Beginning of derivation protocol ****
% 0.14/0.40 % SZS output start CNFRefutation
% See solution above
% 0.14/0.40
% 0.14/0.40 %**** End of derivation protocol ****
% 0.14/0.40 %**** no. of clauses in derivation: 69 ****
% 0.14/0.40 %**** clause counter: 68 ****
% 0.14/0.40
% 0.14/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:68,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------