TSTP Solution File: SYO001^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO001^1 : 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 : n024.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 17:31:17 EDT 2022
% Result : Theorem 0.18s 0.37s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 27 unt; 5 typ; 1 def)
% Number of atoms : 89 ( 34 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 144 ( 22 ~; 12 |; 8 &; 79 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 2 ^ 39 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_leibeq,type,
leibeq: $i > $i > $o ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i ).
thf(tp_sK2_SY18,type,
sK2_SY18: $i ).
thf(tp_sK3_SY23,type,
sK3_SY23: $i ).
thf(tp_sK4_SY29,type,
sK4_SY29: $i > $o ).
thf(leibeq,definition,
( leibeq
= ( ^ [X: $i,Y: $i] :
! [P: $i > $o] :
( ( P @ X )
=> ( P @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leibeq) ).
thf(1,conjecture,
! [X: $i,Y: $i,Z: $i] :
( ( ( leibeq @ X @ Y )
& ( leibeq @ Y @ Z ) )
=> ( leibeq @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leibeq @ X @ Y )
& ( leibeq @ Y @ Z ) )
=> ( leibeq @ X @ Z ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY0: $i,SY1: $i,SY2: $i] :
( ( ! [SY5: $i > $o] :
( ( SY5 @ SY0 )
=> ( SY5 @ SY1 ) )
& ! [SY8: $i > $o] :
( ( SY8 @ SY1 )
=> ( SY8 @ SY2 ) ) )
=> ! [SY11: $i > $o] :
( ( SY11 @ SY0 )
=> ( SY11 @ SY2 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,leibeq]) ).
thf(4,plain,
( ( ! [SY18: $i,SY19: $i] :
( ( ! [SY20: $i > $o] :
( ( SY20 @ sK1_SY0 )
=> ( SY20 @ SY18 ) )
& ! [SY8: $i > $o] :
( ( SY8 @ SY18 )
=> ( SY8 @ SY19 ) ) )
=> ! [SY22: $i > $o] :
( ( SY22 @ sK1_SY0 )
=> ( SY22 @ SY19 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY23: $i] :
( ( ! [SY24: $i > $o] :
( ( SY24 @ sK1_SY0 )
=> ( SY24 @ sK2_SY18 ) )
& ! [SY25: $i > $o] :
( ( SY25 @ sK2_SY18 )
=> ( SY25 @ SY23 ) ) )
=> ! [SY22: $i > $o] :
( ( SY22 @ sK1_SY0 )
=> ( SY22 @ SY23 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ! [SY24: $i > $o] :
( ( SY24 @ sK1_SY0 )
=> ( SY24 @ sK2_SY18 ) )
& ! [SY28: $i > $o] :
( ( SY28 @ sK2_SY18 )
=> ( SY28 @ sK3_SY23 ) ) )
=> ! [SY29: $i > $o] :
( ( SY29 @ sK1_SY0 )
=> ( SY29 @ sK3_SY23 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY24: $i > $o] :
( ( SY24 @ sK1_SY0 )
=> ( SY24 @ sK2_SY18 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY28: $i > $o] :
( ( SY28 @ sK2_SY18 )
=> ( SY28 @ sK3_SY23 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ! [SY29: $i > $o] :
( ( SY29 @ sK1_SY0 )
=> ( SY29 @ sK3_SY23 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(10,plain,
( ( ~ ! [SY29: $i > $o] :
( ( SY29 @ sK1_SY0 )
=> ( SY29 @ sK3_SY23 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ( sK4_SY29 @ sK1_SY0 )
& ~ ( sK4_SY29 @ sK3_SY23 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY24: $i > $o] :
( ~ ( SY24 @ sK1_SY0 )
| ( SY24 @ sK2_SY18 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [SY28: $i > $o] :
( ~ ( SY28 @ sK2_SY18 )
| ( SY28 @ sK3_SY23 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(14,plain,
( ( ! [SY28: $i > $o] :
( ~ ( SY28 @ sK2_SY18 )
| ( SY28 @ sK3_SY23 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [SY24: $i > $o] :
( ~ ( SY24 @ sK1_SY0 )
| ( SY24 @ sK2_SY18 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(16,plain,
( ( ( sK4_SY29 @ sK1_SY0 )
& ~ ( sK4_SY29 @ sK3_SY23 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(17,plain,
( ( ~ ( ~ ( sK4_SY29 @ sK1_SY0 )
| ~ ~ ( sK4_SY29 @ sK3_SY23 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,leibeq]) ).
thf(18,plain,
! [SV1: $i > $o] :
( ( ~ ( SV1 @ sK2_SY18 )
| ( SV1 @ sK3_SY23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(19,plain,
! [SV2: $i > $o] :
( ( ~ ( SV2 @ sK1_SY0 )
| ( SV2 @ sK2_SY18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(20,plain,
( ( ~ ( sK4_SY29 @ sK1_SY0 )
| ~ ~ ( sK4_SY29 @ sK3_SY23 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i > $o] :
( ( ( ~ ( SV1 @ sK2_SY18 ) )
= $true )
| ( ( SV1 @ sK3_SY23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: $i > $o] :
( ( ( ~ ( SV2 @ sK1_SY0 ) )
= $true )
| ( ( SV2 @ sK2_SY18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( sK4_SY29 @ sK1_SY0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ~ ( sK4_SY29 @ sK3_SY23 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ sK2_SY18 )
= $false )
| ( ( SV1 @ sK3_SY23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV2: $i > $o] :
( ( ( SV2 @ sK1_SY0 )
= $false )
| ( ( SV2 @ sK2_SY18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( sK4_SY29 @ sK1_SY0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( sK4_SY29 @ sK3_SY23 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( sK4_SY29 @ sK3_SY23 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(30,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,29,27,26]) ).
thf(31,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO001^1 : TPTP v8.1.0. Released v3.7.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n024.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
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 600
% 0.18/0.34 % DateTime : Sat Jul 9 07:11:43 EDT 2022
% 0.18/0.34 % CPUTime :
% 0.18/0.34
% 0.18/0.34 No.of.Axioms: 0
% 0.18/0.34
% 0.18/0.34 Length.of.Defs: 150
% 0.18/0.34
% 0.18/0.34 Contains.Choice.Funs: false
% 0.18/0.34 (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).
% 0.18/0.37
% 0.18/0.37 ********************************
% 0.18/0.37 * All subproblems solved! *
% 0.18/0.37 ********************************
% 0.18/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:30,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.37
% 0.18/0.37 %**** Beginning of derivation protocol ****
% 0.18/0.37 % SZS output start CNFRefutation
% See solution above
% 0.18/0.37
% 0.18/0.37 %**** End of derivation protocol ****
% 0.18/0.37 %**** no. of clauses in derivation: 31 ****
% 0.18/0.37 %**** clause counter: 30 ****
% 0.18/0.37
% 0.18/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:30,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------