TSTP Solution File: SEU569^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU569^2 : 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 : n012.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 12:12:57 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 16 unt; 5 typ; 1 def)
% Number of atoms : 110 ( 29 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 190 ( 28 ~; 17 |; 2 &; 134 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 0 ^ 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_Xx,type,
sK2_Xx: $i > $i > $i ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(tp_subsetI2,type,
subsetI2: $o ).
thf(subsetI2,definition,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI2) ).
thf(1,conjecture,
( subsetI2
=> ! [A: $i] : ( subset @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetRefl) ).
thf(2,negated_conjecture,
( ( subsetI2
=> ! [A: $i] : ( subset @ A @ A ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) )
=> ! [A: $i] : ( subset @ A @ A ) )
= $false ),
inference(unfold_def,[status(thm)],[2,subsetI2]) ).
thf(4,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ( subset @ sK1_A @ sK1_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK2_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK2_Xx @ B @ A ) @ B ) )
| ( subset @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK2_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK2_Xx @ B @ A ) @ B ) )
| ( subset @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ( subset @ sK1_A @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK2_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK2_Xx @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,subsetI2]) ).
thf(12,plain,
( ( subset @ sK1_A @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: $i] :
( ( ! [SY5: $i] :
( ~ ( ~ ( in @ ( sK2_Xx @ SY5 @ SV1 ) @ SV1 )
| ~ ~ ( in @ ( sK2_Xx @ SY5 @ SV1 ) @ SY5 ) )
| ( subset @ SV1 @ SY5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( ~ ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV1 )
| ~ ~ ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV2 ) )
| ( subset @ SV1 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( ~ ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV1 )
| ~ ~ ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV2 ) ) )
= $true )
| ( ( subset @ SV1 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(16,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV1 )
| ~ ~ ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV2 ) )
= $false )
| ( ( subset @ SV1 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(17,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV1 ) )
= $false )
| ( ( subset @ SV1 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ~ ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV2 ) )
= $false )
| ( ( subset @ SV1 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
! [SV1: $i,SV2: $i] :
( ( ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ SV1 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV2 ) )
= $true )
| ( ( subset @ SV1 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(21,plain,
! [SV1: $i,SV2: $i] :
( ( ( in @ ( sK2_Xx @ SV2 @ SV1 ) @ SV2 )
= $false )
| ( ( subset @ SV1 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(22,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,21,19]) ).
thf(23,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU569^2 : TPTP v8.1.0. Released v3.7.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 13:20:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 0
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 185
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.34 (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).
% 0.13/0.37
% 0.13/0.37 ********************************
% 0.13/0.37 * All subproblems solved! *
% 0.13/0.37 ********************************
% 0.13/0.37 % 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:22,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.37
% 0.13/0.37 %**** Beginning of derivation protocol ****
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
% 0.13/0.37
% 0.13/0.37 %**** End of derivation protocol ****
% 0.13/0.37 %**** no. of clauses in derivation: 23 ****
% 0.13/0.37 %**** clause counter: 22 ****
% 0.13/0.37
% 0.13/0.37 % 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:22,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------