TSTP Solution File: SET201^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET201^5 : 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 : n017.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 03:00:48 EDT 2022
% Result : Theorem 0.22s 0.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 30 unt; 6 typ; 0 def)
% Number of atoms : 180 ( 43 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 243 ( 47 ~; 26 |; 26 &; 116 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 ^ 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cV,type,
cV: a > $o ).
thf(tp_sK1_X,type,
sK1_X: a > $o ).
thf(tp_sK2_SY6,type,
sK2_SY6: a > $o ).
thf(tp_sK3_SY11,type,
sK3_SY11: a > $o ).
thf(tp_sK4_SY17,type,
sK4_SY17: a ).
thf(1,conjecture,
! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) )
& ! [Xx: a] :
( ( Z @ Xx )
=> ( cV @ Xx ) ) )
=> ! [Xx: a] :
( ( ( X @ Xx )
& ( Z @ Xx ) )
=> ( ( Y @ Xx )
& ( cV @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_41_pme) ).
thf(2,negated_conjecture,
( ( ! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) )
& ! [Xx: a] :
( ( Z @ Xx )
=> ( cV @ Xx ) ) )
=> ! [Xx: a] :
( ( ( X @ Xx )
& ( Z @ Xx ) )
=> ( ( Y @ Xx )
& ( cV @ Xx ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: a > $o,Y: a > $o,Z: a > $o] :
( ( ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) )
& ! [Xx: a] :
( ( Z @ Xx )
=> ( cV @ Xx ) ) )
=> ! [Xx: a] :
( ( ( X @ Xx )
& ( Z @ Xx ) )
=> ( ( Y @ Xx )
& ( cV @ Xx ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY6: a > $o,SY7: a > $o] :
( ( ! [SY8: a] :
( ( sK1_X @ SY8 )
=> ( SY6 @ SY8 ) )
& ! [Xx: a] :
( ( SY7 @ Xx )
=> ( cV @ Xx ) ) )
=> ! [SY10: a] :
( ( ( sK1_X @ SY10 )
& ( SY7 @ SY10 ) )
=> ( ( SY6 @ SY10 )
& ( cV @ SY10 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY11: a > $o] :
( ( ! [SY12: a] :
( ( sK1_X @ SY12 )
=> ( sK2_SY6 @ SY12 ) )
& ! [Xx: a] :
( ( SY11 @ Xx )
=> ( cV @ Xx ) ) )
=> ! [SY14: a] :
( ( ( sK1_X @ SY14 )
& ( SY11 @ SY14 ) )
=> ( ( sK2_SY6 @ SY14 )
& ( cV @ SY14 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ! [SY12: a] :
( ( sK1_X @ SY12 )
=> ( sK2_SY6 @ SY12 ) )
& ! [SY16: a] :
( ( sK3_SY11 @ SY16 )
=> ( cV @ SY16 ) ) )
=> ! [SY17: a] :
( ( ( sK1_X @ SY17 )
& ( sK3_SY11 @ SY17 ) )
=> ( ( sK2_SY6 @ SY17 )
& ( cV @ SY17 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY12: a] :
( ( sK1_X @ SY12 )
=> ( sK2_SY6 @ SY12 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY16: a] :
( ( sK3_SY11 @ SY16 )
=> ( cV @ SY16 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ! [SY17: a] :
( ( ( sK1_X @ SY17 )
& ( sK3_SY11 @ SY17 ) )
=> ( ( sK2_SY6 @ SY17 )
& ( cV @ SY17 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(10,plain,
( ( ~ ! [SY17: a] :
( ( ( sK1_X @ SY17 )
& ( sK3_SY11 @ SY17 ) )
=> ( ( sK2_SY6 @ SY17 )
& ( cV @ SY17 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ( sK1_X @ sK4_SY17 )
& ( sK3_SY11 @ sK4_SY17 )
& ( ~ ( cV @ sK4_SY17 )
| ~ ( sK2_SY6 @ sK4_SY17 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY12: a] :
( ~ ( sK1_X @ SY12 )
| ( sK2_SY6 @ SY12 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [SY16: a] :
( ~ ( sK3_SY11 @ SY16 )
| ( cV @ SY16 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(14,plain,
( ( ! [SY16: a] :
( ~ ( sK3_SY11 @ SY16 )
| ( cV @ SY16 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [SY12: a] :
( ~ ( sK1_X @ SY12 )
| ( sK2_SY6 @ SY12 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(16,plain,
( ( ( sK1_X @ sK4_SY17 )
& ( sK3_SY11 @ sK4_SY17 )
& ( ~ ( cV @ sK4_SY17 )
| ~ ( sK2_SY6 @ sK4_SY17 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(17,plain,
( ( ~ ( ~ ~ ( ~ ( sK1_X @ sK4_SY17 )
| ~ ( sK3_SY11 @ sK4_SY17 ) )
| ~ ( ~ ( cV @ sK4_SY17 )
| ~ ( sK2_SY6 @ sK4_SY17 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: a] :
( ( ~ ( sK3_SY11 @ SV1 )
| ( cV @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(19,plain,
! [SV2: a] :
( ( ~ ( sK1_X @ SV2 )
| ( sK2_SY6 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(20,plain,
( ( ~ ~ ( ~ ( sK1_X @ sK4_SY17 )
| ~ ( sK3_SY11 @ sK4_SY17 ) )
| ~ ( ~ ( cV @ sK4_SY17 )
| ~ ( sK2_SY6 @ sK4_SY17 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: a] :
( ( ( ~ ( sK3_SY11 @ SV1 ) )
= $true )
| ( ( cV @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: a] :
( ( ( ~ ( sK1_X @ SV2 ) )
= $true )
| ( ( sK2_SY6 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ~ ( ~ ( sK1_X @ sK4_SY17 )
| ~ ( sK3_SY11 @ sK4_SY17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ( ~ ( cV @ sK4_SY17 )
| ~ ( sK2_SY6 @ sK4_SY17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: a] :
( ( ( sK3_SY11 @ SV1 )
= $false )
| ( ( cV @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV2: a] :
( ( ( sK1_X @ SV2 )
= $false )
| ( ( sK2_SY6 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ( ~ ( sK1_X @ sK4_SY17 )
| ~ ( sK3_SY11 @ sK4_SY17 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( cV @ sK4_SY17 )
| ~ ( sK2_SY6 @ sK4_SY17 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ~ ( sK1_X @ sK4_SY17 )
| ~ ( sK3_SY11 @ sK4_SY17 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
( ( ( ~ ( cV @ sK4_SY17 ) )
= $true )
| ( ( ~ ( sK2_SY6 @ sK4_SY17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(31,plain,
( ( ~ ( sK1_X @ sK4_SY17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(32,plain,
( ( ~ ( sK3_SY11 @ sK4_SY17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(33,plain,
( ( ( cV @ sK4_SY17 )
= $false )
| ( ( ~ ( sK2_SY6 @ sK4_SY17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( sK1_X @ sK4_SY17 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(35,plain,
( ( sK3_SY11 @ sK4_SY17 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
( ( ( sK2_SY6 @ sK4_SY17 )
= $false )
| ( ( cV @ sK4_SY17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,36,35,34,26]) ).
thf(38,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET201^5 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.15 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 9 19:05:32 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37
% 0.14/0.37 No.of.Axioms: 0
% 0.14/0.37
% 0.14/0.37 Length.of.Defs: 0
% 0.14/0.37
% 0.14/0.37 Contains.Choice.Funs: false
% 0.14/0.37 (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).
% 0.22/0.40
% 0.22/0.40 ********************************
% 0.22/0.40 * All subproblems solved! *
% 0.22/0.40 ********************************
% 0.22/0.40 % SZS status Theorem for /export/starexec/sandbox2/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:37,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.22/0.40
% 0.22/0.40 %**** Beginning of derivation protocol ****
% 0.22/0.40 % SZS output start CNFRefutation
% See solution above
% 0.22/0.40
% 0.22/0.40 %**** End of derivation protocol ****
% 0.22/0.40 %**** no. of clauses in derivation: 38 ****
% 0.22/0.40 %**** clause counter: 37 ****
% 0.22/0.40
% 0.22/0.40 % SZS status Theorem for /export/starexec/sandbox2/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:37,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------