%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU810^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:48:38 AM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 57 ( 31 unt; 0 typ; 4 def)
% Number of atoms : 364 ( 165 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 462 ( 98 ~; 104 |; 4 &; 230 @)
% ( 3 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 162 ( 1 ^; 161 !; 0 ?; 162 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_emptysetE,type,
emptysetE: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_in__Cong,type,
in__Cong: $o ).
thf(tp_omega,type,
omega: $i ).
thf(tp_omegaS,type,
omegaS: $i > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i ).
thf(tp_setadjoin,type,
setadjoin: $i > $i > $i ).
thf(tp_setadjoinIL,type,
setadjoinIL: $o ).
thf(emptysetE,definition,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE) ).
thf(in__Cong,definition,
( in__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in__Cong) ).
thf(omegaS,definition,
( omegaS
= ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omegaS) ).
thf(setadjoinIL,definition,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL) ).
thf(1,conjecture,
( emptysetE
=> ( setadjoinIL
=> ( in__Cong
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( ( omegaS @ Xx )
!= emptyset ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peano0notS) ).
thf(2,negated_conjecture,
( ( emptysetE
=> ( setadjoinIL
=> ( in__Cong
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ( ( omegaS @ Xx )
!= emptyset ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi )
=> ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) )
=> ! [SY0: $i] :
( ( in @ SY0 @ omega )
=> ( ( setadjoin @ SY0 @ SY0 )
!= emptyset ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,emptysetE,in__Cong,omegaS,setadjoinIL]) ).
thf(4,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [SY0: $i] :
( ( in @ SY0 @ omega )
=> ( ( setadjoin @ SY0 @ SY0 )
!= emptyset ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ~ ! [SY0: $i] :
( ( in @ SY0 @ omega )
=> ( ( setadjoin @ SY0 @ SY0 )
!= emptyset ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ( in @ sK1_SY0 @ omega )
& ( ( setadjoin @ sK1_SY0 @ sK1_SY0 )
= emptyset ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
| ! [Xphi: $o] : Xphi )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(11,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xx @ A )
| ( in @ Xy @ B ) )
& ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xy @ B )
| ( in @ Xx @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(12,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xx @ A )
| ( in @ Xy @ B ) )
& ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xy @ B )
| ( in @ Xx @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(14,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
| ! [Xphi: $o] : Xphi )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ( in @ sK1_SY0 @ omega )
& ( ( setadjoin @ sK1_SY0 @ sK1_SY0 )
= emptyset ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( in @ SX2 @ SX0 )
| ( in @ SX3 @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( in @ SX3 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,emptysetE,in__Cong,omegaS,setadjoinIL]) ).
thf(17,plain,
( ( ~ ( ~ ( in @ sK1_SY0 @ omega )
| ( ( setadjoin @ sK1_SY0 @ sK1_SY0 )
!= emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,emptysetE,in__Cong,omegaS,setadjoinIL]) ).
thf(18,plain,
! [SV1: $i] :
( ( ! [SY10: $i] : ( in @ SV1 @ ( setadjoin @ SV1 @ SY10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(19,plain,
( ( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(20,plain,
! [SV2: $i] :
( ( ! [SY11: $i] :
( ( SV2 != SY11 )
| ~ ( ~ ! [SY12: $i,SY13: $i] :
( ( SY12 != SY13 )
| ~ ( in @ SY12 @ SV2 )
| ( in @ SY13 @ SY11 ) )
| ~ ! [SY14: $i,SY15: $i] :
( ( SY14 != SY15 )
| ~ ( in @ SY15 @ SY11 )
| ( in @ SY14 @ SV2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
( ( ~ ( in @ sK1_SY0 @ omega )
| ( ( setadjoin @ sK1_SY0 @ sK1_SY0 )
!= emptyset ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(22,plain,
! [SV3: $i,SV1: $i] :
( ( in @ SV1 @ ( setadjoin @ SV1 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV4: $i] :
( ( ( ~ ( in @ SV4 @ emptyset ) )
= $true )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 != SV5 )
| ~ ( ~ ! [SY16: $i,SY17: $i] :
( ( SY16 != SY17 )
| ~ ( in @ SY16 @ SV2 )
| ( in @ SY17 @ SV5 ) )
| ~ ! [SY18: $i,SY19: $i] :
( ( SY18 != SY19 )
| ~ ( in @ SY19 @ SV5 )
| ( in @ SY18 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( in @ sK1_SY0 @ omega ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ( setadjoin @ sK1_SY0 @ sK1_SY0 )
!= emptyset )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(27,plain,
! [SV4: $i] :
( ( ( in @ SV4 @ emptyset )
= $false )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 != SV5 )
= $true )
| ( ( ~ ( ~ ! [SY16: $i,SY17: $i] :
( ( SY16 != SY17 )
| ~ ( in @ SY16 @ SV2 )
| ( in @ SY17 @ SV5 ) )
| ~ ! [SY18: $i,SY19: $i] :
( ( SY18 != SY19 )
| ~ ( in @ SY19 @ SV5 )
| ( in @ SY18 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(29,plain,
( ( in @ sK1_SY0 @ omega )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ( setadjoin @ sK1_SY0 @ sK1_SY0 )
= emptyset )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(31,plain,
! [SV4: $i,SV6: $o] :
( ( SV6 = $true )
| ( ( in @ SV4 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV4: $i] :
( ( $true = $true )
| ( ( in @ SV4 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV4: $i] :
( ( $false = $true )
| ( ( in @ SV4 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[27]) ).
thf(34,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 = SV5 )
= $false )
| ( ( ~ ( ~ ! [SY16: $i,SY17: $i] :
( ( SY16 != SY17 )
| ~ ( in @ SY16 @ SV2 )
| ( in @ SY17 @ SV5 ) )
| ~ ! [SY18: $i,SY19: $i] :
( ( SY18 != SY19 )
| ~ ( in @ SY19 @ SV5 )
| ( in @ SY18 @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ! [SY16: $i,SY17: $i] :
( ( SY16 != SY17 )
| ~ ( in @ SY16 @ SV2 )
| ( in @ SY17 @ SV5 ) )
| ~ ! [SY18: $i,SY19: $i] :
( ( SY18 != SY19 )
| ~ ( in @ SY19 @ SV5 )
| ( in @ SY18 @ SV2 ) ) )
= $false )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(36,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ! [SY16: $i,SY17: $i] :
( ( SY16 != SY17 )
| ~ ( in @ SY16 @ SV2 )
| ( in @ SY17 @ SV5 ) ) )
= $false )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(37,plain,
! [SV2: $i,SV5: $i] :
( ( ( ~ ! [SY18: $i,SY19: $i] :
( ( SY18 != SY19 )
| ~ ( in @ SY19 @ SV5 )
| ( in @ SY18 @ SV2 ) ) )
= $false )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(38,plain,
! [SV5: $i,SV2: $i] :
( ( ( ! [SY16: $i,SY17: $i] :
( ( SY16 != SY17 )
| ~ ( in @ SY16 @ SV2 )
| ( in @ SY17 @ SV5 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(39,plain,
! [SV2: $i,SV5: $i] :
( ( ( ! [SY18: $i,SY19: $i] :
( ( SY18 != SY19 )
| ~ ( in @ SY19 @ SV5 )
| ( in @ SY18 @ SV2 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(40,plain,
! [SV5: $i,SV2: $i,SV7: $i] :
( ( ( ! [SY20: $i] :
( ( SV7 != SY20 )
| ~ ( in @ SV7 @ SV2 )
| ( in @ SY20 @ SV5 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV2: $i,SV5: $i,SV8: $i] :
( ( ( ! [SY21: $i] :
( ( SV8 != SY21 )
| ~ ( in @ SY21 @ SV5 )
| ( in @ SV8 @ SV2 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV5: $i,SV2: $i,SV9: $i,SV7: $i] :
( ( ( ( SV7 != SV9 )
| ~ ( in @ SV7 @ SV2 )
| ( in @ SV9 @ SV5 ) )
= $true )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV2: $i,SV5: $i,SV10: $i,SV8: $i] :
( ( ( ( SV8 != SV10 )
| ~ ( in @ SV10 @ SV5 )
| ( in @ SV8 @ SV2 ) )
= $true )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV5: $i,SV2: $i,SV9: $i,SV7: $i] :
( ( ( SV7 != SV9 )
= $true )
| ( ( ~ ( in @ SV7 @ SV2 )
| ( in @ SV9 @ SV5 ) )
= $true )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV2: $i,SV5: $i,SV10: $i,SV8: $i] :
( ( ( SV8 != SV10 )
= $true )
| ( ( ~ ( in @ SV10 @ SV5 )
| ( in @ SV8 @ SV2 ) )
= $true )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV5: $i,SV2: $i,SV9: $i,SV7: $i] :
( ( ( SV7 = SV9 )
= $false )
| ( ( ~ ( in @ SV7 @ SV2 )
| ( in @ SV9 @ SV5 ) )
= $true )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV2: $i,SV5: $i,SV10: $i,SV8: $i] :
( ( ( SV8 = SV10 )
= $false )
| ( ( ~ ( in @ SV10 @ SV5 )
| ( in @ SV8 @ SV2 ) )
= $true )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV5: $i,SV9: $i,SV2: $i,SV7: $i] :
( ( ( ~ ( in @ SV7 @ SV2 ) )
= $true )
| ( ( in @ SV9 @ SV5 )
= $true )
| ( ( SV7 = SV9 )
= $false )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV2: $i,SV8: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( in @ SV10 @ SV5 ) )
= $true )
| ( ( in @ SV8 @ SV2 )
= $true )
| ( ( SV8 = SV10 )
= $false )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV5: $i,SV9: $i,SV2: $i,SV7: $i] :
( ( ( in @ SV7 @ SV2 )
= $false )
| ( ( in @ SV9 @ SV5 )
= $true )
| ( ( SV7 = SV9 )
= $false )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV2: $i,SV8: $i,SV5: $i,SV10: $i] :
( ( ( in @ SV10 @ SV5 )
= $false )
| ( ( in @ SV8 @ SV2 )
= $true )
| ( ( SV8 = SV10 )
= $false )
| ( ( SV2 = SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(52,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,51,50,33,32,31,30,29]) ).
thf(53,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU810^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Oct 6 15:35:14 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.23
% 0.09/0.23 No.of.Axioms: 0
% 0.09/0.23
% 0.09/0.23 Length.of.Defs: 661
% 0.09/0.23
% 0.09/0.23 Contains.Choice.Funs: false
% 0.09/0.23 .
% 0.09/0.23
% 0.09/0.23 ********************************
% 0.09/0.23 * All subproblems solved! *
% 0.09/0.23 ********************************
% 0.09/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:52,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.23
% 0.09/0.23 %**** Beginning of derivation protocol ****
% 0.09/0.23 % SZS output start CNFRefutation
% See solution above
% 0.09/0.23
% 0.09/0.23 %**** End of derivation protocol ****
% 0.09/0.23 %**** no. of clauses in derivation: 53 ****
% 0.09/0.23 %**** clause counter: 52 ****
% 0.09/0.23
% 0.09/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:52,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------