TSTP Solution File: SEV116^5 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV116^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% 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 : Tue Jul 19 17:35:09 EDT 2022
% Result : Theorem 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 25 unt; 5 typ; 1 def)
% Number of atoms : 142 ( 39 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 201 ( 50 ~; 27 |; 3 &; 118 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 17 ( 5 ^ 12 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cS,type,
cS: ( $i > $i > $o ) > $o ).
thf(tp_cSTRANGE_HO_ABBR,type,
cSTRANGE_HO_ABBR: ( ( $i > $i > $o ) > $o ) > $i > $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i > $i > $o ).
thf(tp_x,type,
x: $i ).
thf(tp_y,type,
y: $i ).
thf(cSTRANGE_HO_ABBR,definition,
( cSTRANGE_HO_ABBR
= ( ^ [S: ( $i > $i > $o ) > $o,Xx: $i,Xy: $i] :
! [Xp: $i > $i > $o] :
( ( ( S @ Xp )
& ( Xp @ Xx @ Xy ) )
=> ( Xp @ Xy @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSTRANGE_HO_ABBR) ).
thf(1,conjecture,
( ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
& ( cSTRANGE_HO_ABBR @ cS @ x @ y ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSTRANGE_HO_EXAMPLE) ).
thf(2,negated_conjecture,
( ( ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
& ( cSTRANGE_HO_ABBR @ cS @ x @ y ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
= $true ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(4,plain,
( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
= $true ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(5,plain,
( ( cSTRANGE_HO_ABBR @ cS @ y @ x )
= $false ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(6,plain,
( ( ~ ( cSTRANGE_HO_ABBR @ cS @ y @ x ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( cSTRANGE_HO_ABBR @ cS @ x @ y )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(8,plain,
( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(9,plain,
( ( ~ ( cSTRANGE_HO_ABBR @ cS @ y @ x ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(10,plain,
( ( cS
@ ^ [SX0: $i,SX1: $i] :
! [SX2: $i > $i > $o] :
( ~ ~ ( ~ ( cS @ SX2 )
| ~ ( SX2 @ SX0 @ SX1 ) )
| ( SX2 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,cSTRANGE_HO_ABBR]) ).
thf(11,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ~ ( ~ ( cS @ SX0 )
| ~ ( SX0 @ x @ y ) )
| ( SX0 @ y @ x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,cSTRANGE_HO_ABBR]) ).
thf(12,plain,
( ( ~ ! [SX0: $i > $i > $o] :
( ~ ~ ( ~ ( cS @ SX0 )
| ~ ( SX0 @ y @ x ) )
| ( SX0 @ x @ y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,cSTRANGE_HO_ABBR]) ).
thf(13,plain,
! [SV1: $i > $i > $o] :
( ( ~ ~ ( ~ ( cS @ SV1 )
| ~ ( SV1 @ x @ y ) )
| ( SV1 @ y @ x ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [SX0: $i > $i > $o] :
( ~ ~ ( ~ ( cS @ SX0 )
| ~ ( SX0 @ y @ x ) )
| ( SX0 @ x @ y ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( cS @ SV1 )
| ~ ( SV1 @ x @ y ) ) )
= $true )
| ( ( SV1 @ y @ x )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ( cS @ sK1_SX0 )
| ~ ( sK1_SX0 @ y @ x ) )
| ( sK1_SX0 @ x @ y ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(17,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( ~ ( cS @ SV1 )
| ~ ( SV1 @ x @ y ) ) )
= $false )
| ( ( SV1 @ y @ x )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ( cS @ sK1_SX0 )
| ~ ( sK1_SX0 @ y @ x ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( sK1_SX0 @ x @ y )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( cS @ SV1 )
| ~ ( SV1 @ x @ y ) )
= $true )
| ( ( SV1 @ y @ x )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( ~ ( cS @ sK1_SX0 )
| ~ ( sK1_SX0 @ y @ x ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: $i > $i > $o] :
( ( ( ~ ( cS @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ x @ y ) )
= $true )
| ( ( SV1 @ y @ x )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ( cS @ sK1_SX0 )
| ~ ( sK1_SX0 @ y @ x ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV1: $i > $i > $o] :
( ( ( cS @ SV1 )
= $false )
| ( ( ~ ( SV1 @ x @ y ) )
= $true )
| ( ( SV1 @ y @ x )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ( cS @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( ~ ( sK1_SX0 @ y @ x ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ x @ y )
= $false )
| ( ( cS @ SV1 )
= $false )
| ( ( SV1 @ y @ x )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( cS @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( sK1_SX0 @ y @ x )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,29,28,27,19]) ).
thf(31,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV116^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 28 13:44:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 233
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: true
% 0.13/0.35 (rf:0,axioms:0,ps:3,u:1,ude:false,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)
% 0.19/0.38 ********************************
% 0.19/0.38 * All subproblems solved! *
% 0.19/0.38 ********************************
% 0.19/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:1,ude:false,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)
% 0.19/0.38
% 0.19/0.38 %**** Beginning of derivation protocol ****
% 0.19/0.38 % SZS output start CNFRefutation
% See solution above
% 0.19/0.38
% 0.19/0.38 %**** End of derivation protocol ****
% 0.19/0.38 %**** no. of clauses in derivation: 31 ****
% 0.19/0.38 %**** clause counter: 30 ****
% 0.19/0.38
% 0.19/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:1,ude:false,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)
%------------------------------------------------------------------------------