TSTP Solution File: SET599^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET599^5 : 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 : n009.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 03:03:17 EDT 2022
% Result : Theorem 0.16s 0.34s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 22 unt; 4 typ; 0 def)
% Number of atoms : 120 ( 29 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 183 ( 46 ~; 26 |; 24 &; 81 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 ^ 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_X,type,
sK1_X: a > $o ).
thf(tp_sK2_SY3,type,
sK2_SY3: a > $o ).
thf(tp_sK3_SY5,type,
sK3_SY5: a ).
thf(1,conjecture,
! [X: a > $o,Y: a > $o,Xx: a] :
( ( ( X @ Xx )
& ~ ( Y @ Xx ) )
=> ( ( ( X @ Xx )
& ~ ( Y @ Xx ) )
| ( ( Y @ Xx )
& ~ ( X @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_58_pme) ).
thf(2,negated_conjecture,
( ( ! [X: a > $o,Y: a > $o,Xx: a] :
( ( ( X @ Xx )
& ~ ( Y @ Xx ) )
=> ( ( ( X @ Xx )
& ~ ( Y @ Xx ) )
| ( ( Y @ Xx )
& ~ ( X @ Xx ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: a > $o,Y: a > $o,Xx: a] :
( ( ( X @ Xx )
& ~ ( Y @ Xx ) )
=> ( ( ( X @ Xx )
& ~ ( Y @ Xx ) )
| ( ( Y @ Xx )
& ~ ( X @ Xx ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY3: a > $o,SY4: a] :
( ( ( sK1_X @ SY4 )
& ~ ( SY3 @ SY4 ) )
=> ( ( ( sK1_X @ SY4 )
& ~ ( SY3 @ SY4 ) )
| ( ( SY3 @ SY4 )
& ~ ( sK1_X @ SY4 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY5: a] :
( ( ( sK1_X @ SY5 )
& ~ ( sK2_SY3 @ SY5 ) )
=> ( ( ( sK1_X @ SY5 )
& ~ ( sK2_SY3 @ SY5 ) )
| ( ( sK2_SY3 @ SY5 )
& ~ ( sK1_X @ SY5 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ( sK1_X @ sK3_SY5 )
& ~ ( sK2_SY3 @ sK3_SY5 ) )
=> ( ( ( sK1_X @ sK3_SY5 )
& ~ ( sK2_SY3 @ sK3_SY5 ) )
| ( ( sK2_SY3 @ sK3_SY5 )
& ~ ( sK1_X @ sK3_SY5 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( sK1_X @ sK3_SY5 )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ( sK2_SY3 @ sK3_SY5 ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ( ( sK1_X @ sK3_SY5 )
& ~ ( sK2_SY3 @ sK3_SY5 ) )
| ( ( sK2_SY3 @ sK3_SY5 )
& ~ ( sK1_X @ sK3_SY5 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(10,plain,
( ( ~ ( ( ( sK1_X @ sK3_SY5 )
& ~ ( sK2_SY3 @ sK3_SY5 ) )
| ( ( sK2_SY3 @ sK3_SY5 )
& ~ ( sK1_X @ sK3_SY5 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ( ~ ( sK1_X @ sK3_SY5 )
| ( sK2_SY3 @ sK3_SY5 ) )
& ( ~ ( sK2_SY3 @ sK3_SY5 )
| ( sK1_X @ sK3_SY5 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ~ ( sK2_SY3 @ sK3_SY5 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( sK1_X @ sK3_SY5 )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(14,plain,
( ( ( ~ ( sK1_X @ sK3_SY5 )
| ( sK2_SY3 @ sK3_SY5 ) )
& ( ~ ( sK2_SY3 @ sK3_SY5 )
| ( sK1_X @ sK3_SY5 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ( ~ ( ~ ( sK1_X @ sK3_SY5 )
| ( sK2_SY3 @ sK3_SY5 ) )
| ~ ( ~ ( sK2_SY3 @ sK3_SY5 )
| ( sK1_X @ sK3_SY5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( sK2_SY3 @ sK3_SY5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(17,plain,
( ( ~ ( ~ ( sK1_X @ sK3_SY5 )
| ( sK2_SY3 @ sK3_SY5 ) )
| ~ ( ~ ( sK2_SY3 @ sK3_SY5 )
| ( sK1_X @ sK3_SY5 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( ~ ( sK1_X @ sK3_SY5 )
| ( sK2_SY3 @ sK3_SY5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(19,plain,
( ( ~ ( ~ ( sK2_SY3 @ sK3_SY5 )
| ( sK1_X @ sK3_SY5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ( sK1_X @ sK3_SY5 )
| ( sK2_SY3 @ sK3_SY5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ( sK2_SY3 @ sK3_SY5 )
| ( sK1_X @ sK3_SY5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ~ ( sK1_X @ sK3_SY5 ) )
= $true )
| ( ( sK2_SY3 @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ( ~ ( sK2_SY3 @ sK3_SY5 ) )
= $true )
| ( ( sK1_X @ sK3_SY5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ( sK1_X @ sK3_SY5 )
= $false )
| ( ( sK2_SY3 @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
( ( ( sK2_SY3 @ sK3_SY5 )
= $false )
| ( ( sK1_X @ sK3_SY5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(26,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,25,24,16]) ).
thf(27,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET599^5 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Mon Jul 11 06:14:07 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.10/0.32
% 0.10/0.32 No.of.Axioms: 0
% 0.10/0.32
% 0.10/0.32 Length.of.Defs: 0
% 0.10/0.32
% 0.10/0.32 Contains.Choice.Funs: false
% 0.10/0.32 (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)
% 0.16/0.34 ********************************
% 0.16/0.34 * All subproblems solved! *
% 0.16/0.34 ********************************
% 0.16/0.34 % 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:26,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.16/0.34
% 0.16/0.34 %**** Beginning of derivation protocol ****
% 0.16/0.34 % SZS output start CNFRefutation
% See solution above
% 0.16/0.34
% 0.16/0.34 %**** End of derivation protocol ****
% 0.16/0.34 %**** no. of clauses in derivation: 27 ****
% 0.16/0.34 %**** clause counter: 26 ****
% 0.16/0.34
% 0.16/0.34 % 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:26,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------