TSTP Solution File: SYO007^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO007^1 : 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 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 32 unt; 4 typ; 1 def)
% Number of atoms : 206 ( 56 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 115 ( 35 ~; 28 |; 4 &; 31 @)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 2 ^ 13 !; 0 ?; 15 :)
% 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(tp_sK3_SY10,type,
sK3_SY10: $o > $o ).
thf(leibeq,definition,
( leibeq
= ( ^ [U: $o,V: $o] :
! [Q: $o > $o] :
( ( Q @ U )
=> ( Q @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leibeq) ).
thf(1,conjecture,
! [A: $o,B: $o] :
( ( A
<=> B )
=> ( leibeq @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
( ( ! [A: $o,B: $o] :
( ( A
<=> B )
=> ( leibeq @ A @ B ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY0: $o,SY1: $o] :
( ( SY0
<=> SY1 )
=> ! [SY4: $o > $o] :
( ( SY4 @ SY0 )
=> ( SY4 @ SY1 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,leibeq]) ).
thf(4,plain,
( ( ! [SY8: $o] :
( ( sK1_SY0
<=> SY8 )
=> ! [SY9: $o > $o] :
( ( SY9 @ sK1_SY0 )
=> ( SY9 @ SY8 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( sK1_SY0
<=> sK2_SY8 )
=> ! [SY10: $o > $o] :
( ( SY10 @ sK1_SY0 )
=> ( SY10 @ sK2_SY8 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( sK1_SY0
<=> sK2_SY8 )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY10: $o > $o] :
( ( SY10 @ sK1_SY0 )
=> ( SY10 @ sK2_SY8 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ! [SY10: $o > $o] :
( ( SY10 @ sK1_SY0 )
=> ( SY10 @ sK2_SY8 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ( sK3_SY10 @ sK1_SY0 )
& ~ ( sK3_SY10 @ sK2_SY8 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ( ~ sK1_SY0
| sK2_SY8 )
& ( ~ sK2_SY8
| sK1_SY0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ( ~ sK1_SY0
| sK2_SY8 )
& ( ~ sK2_SY8
| sK1_SY0 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ( sK3_SY10 @ sK1_SY0 )
& ~ ( sK3_SY10 @ sK2_SY8 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( ~ ( sK3_SY10 @ sK1_SY0 )
| ~ ~ ( sK3_SY10 @ sK2_SY8 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,leibeq]) ).
thf(14,plain,
( ( ~ ( ~ ( ~ sK1_SY0
| sK2_SY8 )
| ~ ( ~ sK2_SY8
| sK1_SY0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,leibeq]) ).
thf(15,plain,
( ( ~ ( sK3_SY10 @ sK1_SY0 )
| ~ ~ ( sK3_SY10 @ sK2_SY8 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ sK1_SY0
| sK2_SY8 )
| ~ ( ~ sK2_SY8
| sK1_SY0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( sK3_SY10 @ sK1_SY0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( sK3_SY10 @ sK2_SY8 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( ~ sK1_SY0
| sK2_SY8 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( ~ sK2_SY8
| sK1_SY0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(21,plain,
( ( sK3_SY10 @ sK1_SY0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ( sK3_SY10 @ sK2_SY8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ sK1_SY0
| sK2_SY8 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ sK2_SY8
| sK1_SY0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( sK3_SY10 @ sK2_SY8 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ( ~ sK1_SY0 )
= $true )
| ( sK2_SY8 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ( ~ sK2_SY8 )
= $true )
| ( sK1_SY0 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( sK1_SY0 = $false )
| ( sK2_SY8 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(29,plain,
( ( sK2_SY8 = $false )
| ( sK1_SY0 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
( ( ( sK3_SY10 @ sK2_SY8 )
= ( sK3_SY10 @ sK1_SY0 ) )
= $false ),
inference(res,[status(thm)],[25,21]) ).
thf(31,plain,
( ( sK2_SY8 = $true )
| ( sK1_SY0 = $true ) ),
inference(extuni,[status(esa)],[30]) ).
thf(32,plain,
( ( sK2_SY8 = $false )
| ( sK1_SY0 = $false ) ),
inference(extuni,[status(esa)],[30]) ).
thf(46,plain,
( ( ( sK2_SY8 = sK2_SY8 )
= $false )
| ( sK1_SY0 = $true )
| ( sK1_SY0 = $true ) ),
inference(res,[status(thm)],[31,29]) ).
thf(53,plain,
( ( sK1_SY0 = $true )
| ( sK1_SY0 = $true ) ),
inference(extuni,[status(esa)],[46]) ).
thf(55,plain,
sK1_SY0 = $true,
inference(sim,[status(thm)],[53]) ).
thf(63,plain,
( ( ( sK2_SY8 = sK2_SY8 )
= $false )
| ( sK1_SY0 = $false )
| ( sK1_SY0 = $false ) ),
inference(res,[status(thm)],[32,28]) ).
thf(67,plain,
( ( sK1_SY0 = $false )
| ( sK1_SY0 = $false ) ),
inference(extuni,[status(esa)],[63]) ).
thf(71,plain,
sK1_SY0 = $false,
inference(sim,[status(thm)],[67]) ).
thf(83,plain,
( ( sK1_SY0 = sK1_SY0 )
= $false ),
inference(res,[status(thm)],[71,55]) ).
thf(86,plain,
$false = $true,
inference(extuni,[status(esa)],[83]) ).
thf(87,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO007^1 : TPTP v8.1.0. Released v3.7.0.
% 0.12/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 05:07:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36
% 0.14/0.36 No.of.Axioms: 0
% 0.14/0.36
% 0.14/0.36 Length.of.Defs: 151
% 0.14/0.36
% 0.14/0.36 Contains.Choice.Funs: false
% 0.14/0.36 (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: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)..
% 0.14/0.39
% 0.14/0.39 ********************************
% 0.14/0.39 * All subproblems solved! *
% 0.14/0.39 ********************************
% 0.14/0.39 % SZS status Theorem for /export/starexec/sandbox2/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:86,loop_count:9,foatp_calls:1,translation:fof_full)
% 0.14/0.39
% 0.14/0.39 %**** Beginning of derivation protocol ****
% 0.14/0.39 % SZS output start CNFRefutation
% See solution above
% 0.14/0.39
% 0.14/0.39 %**** End of derivation protocol ****
% 0.14/0.39 %**** no. of clauses in derivation: 41 ****
% 0.14/0.39 %**** clause counter: 86 ****
% 0.14/0.39
% 0.14/0.39 % SZS status Theorem for /export/starexec/sandbox2/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:86,loop_count:9,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------