TSTP Solution File: SEU808^2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU808^2 : 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 : 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 12:14:54 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 21 unt; 6 typ; 2 def)
% Number of atoms : 90 ( 24 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 156 ( 18 ~; 7 |; 2 &; 118 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 1 ^ 13 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_omega,type,
omega: $i ).
thf(tp_omegaS,type,
omegaS: $i > $i ).
thf(tp_omegaSAx,type,
omegaSAx: $o ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i ).
thf(tp_setadjoin,type,
setadjoin: $i > $i > $i ).
thf(omegaS,definition,
( omegaS
= ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaS) ).
thf(omegaSAx,definition,
( omegaSAx
= ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaSAx) ).
thf(1,conjecture,
( omegaSAx
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( omegaS @ Xx ) @ omega ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaSp) ).
thf(2,negated_conjecture,
( ( omegaSAx
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( omegaS @ Xx ) @ omega ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) )
=> ! [SY0: $i] :
( ( in @ SY0 @ omega )
=> ( in @ ( setadjoin @ SY0 @ SY0 ) @ omega ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,omegaS,omegaSAx]) ).
thf(4,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY0: $i] :
( ( in @ SY0 @ omega )
=> ( in @ ( setadjoin @ SY0 @ SY0 ) @ omega ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [SY0: $i] :
( ( in @ SY0 @ omega )
=> ( in @ ( setadjoin @ SY0 @ SY0 ) @ omega ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ( in @ sK1_SY0 @ omega )
& ~ ( in @ ( setadjoin @ sK1_SY0 @ sK1_SY0 ) @ omega ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [Xx: $i] :
( ~ ( in @ Xx @ omega )
| ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [Xx: $i] :
( ~ ( in @ Xx @ omega )
| ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ( in @ sK1_SY0 @ omega )
& ~ ( in @ ( setadjoin @ sK1_SY0 @ sK1_SY0 ) @ omega ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ ( in @ sK1_SY0 @ omega )
| ~ ~ ( in @ ( setadjoin @ sK1_SY0 @ sK1_SY0 ) @ omega ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,omegaS,omegaSAx]) ).
thf(12,plain,
! [SV1: $i] :
( ( ~ ( in @ SV1 @ omega )
| ( in @ ( setadjoin @ SV1 @ SV1 ) @ omega ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( in @ sK1_SY0 @ omega )
| ~ ~ ( in @ ( setadjoin @ sK1_SY0 @ sK1_SY0 ) @ omega ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i] :
( ( ( ~ ( in @ SV1 @ omega ) )
= $true )
| ( ( in @ ( setadjoin @ SV1 @ SV1 ) @ omega )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( in @ sK1_SY0 @ omega ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( in @ ( setadjoin @ sK1_SY0 @ sK1_SY0 ) @ omega ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: $i] :
( ( ( in @ SV1 @ omega )
= $false )
| ( ( in @ ( setadjoin @ SV1 @ SV1 ) @ omega )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( in @ sK1_SY0 @ omega )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( in @ ( setadjoin @ sK1_SY0 @ sK1_SY0 ) @ omega ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( in @ ( setadjoin @ sK1_SY0 @ sK1_SY0 ) @ omega )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(21,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[17,20,18]) ).
thf(22,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU808^2 : TPTP v8.1.0. Released v3.7.0.
% 0.07/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 20 00:21:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 0
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 308
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.36 (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)
% 0.13/0.39 ********************************
% 0.13/0.39 * All subproblems solved! *
% 0.13/0.39 ********************************
% 0.13/0.39 % 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:21,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.39
% 0.13/0.39 %**** Beginning of derivation protocol ****
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
% 0.13/0.39
% 0.13/0.39 %**** End of derivation protocol ****
% 0.13/0.39 %**** no. of clauses in derivation: 22 ****
% 0.13/0.39 %**** clause counter: 21 ****
% 0.13/0.39
% 0.13/0.39 % 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:21,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------