TSTP Solution File: SYO169^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO169^5 : 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 : Thu Jul 21 17:32:31 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 34 unt; 6 typ; 0 def)
% Number of atoms : 346 ( 77 equ; 0 cnn)
% Maximal formula atoms : 9 ( 7 avg)
% Number of connectives : 782 ( 109 ~; 114 |; 15 &; 530 @)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-3 aty)
% Number of variables : 226 ( 0 ^ 226 !; 0 ?; 226 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_ab,type,
ab: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_cP,type,
cP: $i > $i > $i > $o ).
thf(tp_cPx,type,
cPx: $i > $i > $o ).
thf(tp_e,type,
e: $i ).
thf(1,conjecture,
( ( ! [Xx: $i] : ( cP @ e @ Xx @ Xx )
& ! [Xy: $i] : ( cP @ Xy @ e @ Xy )
& ! [Xz: $i] : ( cP @ Xz @ Xz @ e )
& ! [Xx: $i,Xy: $i,Xz: $i,Xxy: $i,Xyz: $i,Xxyz: $i] :
( ( ( cP @ Xx @ Xy @ Xxy )
& ( cP @ Xy @ Xz @ Xyz ) )
=> ( ( cP @ Xxy @ Xz @ Xxyz )
<=> ( cPx @ Xyz @ Xxyz ) ) ) )
=> ( ( cP @ a @ b @ ab )
=> ( cP @ b @ a @ ab ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGRP_COMM) ).
thf(2,negated_conjecture,
( ( ( ! [Xx: $i] : ( cP @ e @ Xx @ Xx )
& ! [Xy: $i] : ( cP @ Xy @ e @ Xy )
& ! [Xz: $i] : ( cP @ Xz @ Xz @ e )
& ! [Xx: $i,Xy: $i,Xz: $i,Xxy: $i,Xyz: $i,Xxyz: $i] :
( ( ( cP @ Xx @ Xy @ Xxy )
& ( cP @ Xy @ Xz @ Xyz ) )
=> ( ( cP @ Xxy @ Xz @ Xxyz )
<=> ( cPx @ Xyz @ Xxyz ) ) ) )
=> ( ( cP @ a @ b @ ab )
=> ( cP @ b @ a @ ab ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xx: $i] : ( cP @ e @ Xx @ Xx )
& ! [Xy: $i] : ( cP @ Xy @ e @ Xy )
& ! [Xz: $i] : ( cP @ Xz @ Xz @ e )
& ! [Xx: $i,Xy: $i,Xz: $i,Xxy: $i,Xyz: $i,Xxyz: $i] :
( ( ( cP @ Xx @ Xy @ Xxy )
& ( cP @ Xy @ Xz @ Xyz ) )
=> ( ( cP @ Xxy @ Xz @ Xxyz )
<=> ( cPx @ Xyz @ Xxyz ) ) ) )
=> ( ( cP @ a @ b @ ab )
=> ( cP @ b @ a @ ab ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: $i] : ( cP @ e @ Xx @ Xx ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xy: $i] : ( cP @ Xy @ e @ Xy ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xz: $i] : ( cP @ Xz @ Xz @ e ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i,Xxy: $i,Xyz: $i,Xxyz: $i] :
( ( ( cP @ Xx @ Xy @ Xxy )
& ( cP @ Xy @ Xz @ Xyz ) )
=> ( ( cP @ Xxy @ Xz @ Xxyz )
<=> ( cPx @ Xyz @ Xxyz ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( cP @ a @ b @ ab )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( cP @ b @ a @ ab )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ ( cP @ b @ a @ ab ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i,Xxy: $i] :
( ! [Xyz: $i] :
( ~ ( cP @ Xx @ Xy @ Xxy )
| ~ ( cP @ Xy @ Xz @ Xyz )
| ! [Xxyz: $i] :
( ~ ( cP @ Xxy @ Xz @ Xxyz )
| ( cPx @ Xyz @ Xxyz ) ) )
& ! [Xyz: $i] :
( ~ ( cP @ Xx @ Xy @ Xxy )
| ~ ( cP @ Xy @ Xz @ Xyz )
| ! [Xxyz: $i] :
( ~ ( cPx @ Xyz @ Xxyz )
| ( cP @ Xxy @ Xz @ Xxyz ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(12,plain,
( ( cP @ a @ b @ ab )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i,Xxy: $i] :
( ! [Xyz: $i] :
( ~ ( cP @ Xx @ Xy @ Xxy )
| ~ ( cP @ Xy @ Xz @ Xyz )
| ! [Xxyz: $i] :
( ~ ( cP @ Xxy @ Xz @ Xxyz )
| ( cPx @ Xyz @ Xxyz ) ) )
& ! [Xyz: $i] :
( ~ ( cP @ Xx @ Xy @ Xxy )
| ~ ( cP @ Xy @ Xz @ Xyz )
| ! [Xxyz: $i] :
( ~ ( cPx @ Xyz @ Xxyz )
| ( cP @ Xxy @ Xz @ Xxyz ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [Xz: $i] : ( cP @ Xz @ Xz @ e ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(15,plain,
( ( ! [Xy: $i] : ( cP @ Xy @ e @ Xy ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [Xx: $i] : ( cP @ e @ Xx @ Xx ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(17,plain,
( ( ~ ( cP @ b @ a @ ab ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(18,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ! [SX4: $i] :
( ~ ( cP @ SX0 @ SX1 @ SX3 )
| ~ ( cP @ SX1 @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( cP @ SX3 @ SX2 @ SX5 )
| ( cPx @ SX4 @ SX5 ) ) )
| ~ ! [SX4: $i] :
( ~ ( cP @ SX0 @ SX1 @ SX3 )
| ~ ( cP @ SX1 @ SX2 @ SX4 )
| ! [SX5: $i] :
( ~ ( cPx @ SX4 @ SX5 )
| ( cP @ SX3 @ SX2 @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(19,plain,
! [SV1: $i] :
( ( cP @ SV1 @ SV1 @ e )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(20,plain,
! [SV2: $i] :
( ( cP @ SV2 @ e @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV3: $i] :
( ( cP @ e @ SV3 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
( ( cP @ b @ a @ ab )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(23,plain,
! [SV4: $i] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
~ ( ~ ! [SY12: $i] :
( ~ ( cP @ SV4 @ SY9 @ SY11 )
| ~ ( cP @ SY9 @ SY10 @ SY12 )
| ! [SX5: $i] :
( ~ ( cP @ SY11 @ SY10 @ SX5 )
| ( cPx @ SY12 @ SX5 ) ) )
| ~ ! [SY14: $i] :
( ~ ( cP @ SV4 @ SY9 @ SY11 )
| ~ ( cP @ SY9 @ SY10 @ SY14 )
| ! [SX5: $i] :
( ~ ( cPx @ SY14 @ SX5 )
| ( cP @ SY11 @ SY10 @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(24,plain,
! [SV5: $i,SV4: $i] :
( ( ! [SY16: $i,SY17: $i] :
~ ( ~ ! [SY18: $i] :
( ~ ( cP @ SV4 @ SV5 @ SY17 )
| ~ ( cP @ SV5 @ SY16 @ SY18 )
| ! [SX5: $i] :
( ~ ( cP @ SY17 @ SY16 @ SX5 )
| ( cPx @ SY18 @ SX5 ) ) )
| ~ ! [SY20: $i] :
( ~ ( cP @ SV4 @ SV5 @ SY17 )
| ~ ( cP @ SV5 @ SY16 @ SY20 )
| ! [SX5: $i] :
( ~ ( cPx @ SY20 @ SX5 )
| ( cP @ SY17 @ SY16 @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(25,plain,
! [SV6: $i,SV5: $i,SV4: $i] :
( ( ! [SY22: $i] :
~ ( ~ ! [SY23: $i] :
( ~ ( cP @ SV4 @ SV5 @ SY22 )
| ~ ( cP @ SV5 @ SV6 @ SY23 )
| ! [SY24: $i] :
( ~ ( cP @ SY22 @ SV6 @ SY24 )
| ( cPx @ SY23 @ SY24 ) ) )
| ~ ! [SY25: $i] :
( ~ ( cP @ SV4 @ SV5 @ SY22 )
| ~ ( cP @ SV5 @ SV6 @ SY25 )
| ! [SY26: $i] :
( ~ ( cPx @ SY25 @ SY26 )
| ( cP @ SY22 @ SV6 @ SY26 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(26,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ~ ( ~ ! [SY27: $i] :
( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SY27 )
| ! [SY28: $i] :
( ~ ( cP @ SV7 @ SV6 @ SY28 )
| ( cPx @ SY27 @ SY28 ) ) )
| ~ ! [SY29: $i] :
( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SY29 )
| ! [SY30: $i] :
( ~ ( cPx @ SY29 @ SY30 )
| ( cP @ SV7 @ SV6 @ SY30 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(27,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ~ ! [SY27: $i] :
( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SY27 )
| ! [SY28: $i] :
( ~ ( cP @ SV7 @ SV6 @ SY28 )
| ( cPx @ SY27 @ SY28 ) ) )
| ~ ! [SY29: $i] :
( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SY29 )
| ! [SY30: $i] :
( ~ ( cPx @ SY29 @ SY30 )
| ( cP @ SV7 @ SV6 @ SY30 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(28,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ~ ! [SY27: $i] :
( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SY27 )
| ! [SY28: $i] :
( ~ ( cP @ SV7 @ SV6 @ SY28 )
| ( cPx @ SY27 @ SY28 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(29,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ~ ! [SY29: $i] :
( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SY29 )
| ! [SY30: $i] :
( ~ ( cPx @ SY29 @ SY30 )
| ( cP @ SV7 @ SV6 @ SY30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ! [SY27: $i] :
( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SY27 )
| ! [SY28: $i] :
( ~ ( cP @ SV7 @ SV6 @ SY28 )
| ( cPx @ SY27 @ SY28 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(31,plain,
! [SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ! [SY29: $i] :
( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SY29 )
| ! [SY30: $i] :
( ~ ( cPx @ SY29 @ SY30 )
| ( cP @ SV7 @ SV6 @ SY30 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(32,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SV8 )
| ! [SY31: $i] :
( ~ ( cP @ SV7 @ SV6 @ SY31 )
| ( cPx @ SV8 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV9: $i,SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SV9 )
| ! [SY32: $i] :
( ~ ( cPx @ SV9 @ SY32 )
| ( cP @ SV7 @ SV6 @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SV8 ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( cP @ SV7 @ SV6 @ SY31 )
| ( cPx @ SV8 @ SY31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(35,plain,
! [SV9: $i,SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( cP @ SV4 @ SV5 @ SV7 )
| ~ ( cP @ SV5 @ SV6 @ SV9 ) )
= $true )
| ( ( ! [SY32: $i] :
( ~ ( cPx @ SV9 @ SY32 )
| ( cP @ SV7 @ SV6 @ SY32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(36,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( cP @ SV4 @ SV5 @ SV7 ) )
= $true )
| ( ( ~ ( cP @ SV5 @ SV6 @ SV8 ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( cP @ SV7 @ SV6 @ SY31 )
| ( cPx @ SV8 @ SY31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV9: $i,SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( cP @ SV4 @ SV5 @ SV7 ) )
= $true )
| ( ( ~ ( cP @ SV5 @ SV6 @ SV9 ) )
= $true )
| ( ( ! [SY32: $i] :
( ~ ( cPx @ SV9 @ SY32 )
| ( cP @ SV7 @ SV6 @ SY32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV8: $i,SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ( cP @ SV4 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( cP @ SV5 @ SV6 @ SV8 ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( cP @ SV7 @ SV6 @ SY31 )
| ( cPx @ SV8 @ SY31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV9: $i,SV6: $i,SV7: $i,SV5: $i,SV4: $i] :
( ( ( cP @ SV4 @ SV5 @ SV7 )
= $false )
| ( ( ~ ( cP @ SV5 @ SV6 @ SV9 ) )
= $true )
| ( ( ! [SY32: $i] :
( ~ ( cPx @ SV9 @ SY32 )
| ( cP @ SV7 @ SV6 @ SY32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV7: $i,SV4: $i,SV8: $i,SV6: $i,SV5: $i] :
( ( ( cP @ SV5 @ SV6 @ SV8 )
= $false )
| ( ( cP @ SV4 @ SV5 @ SV7 )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( cP @ SV7 @ SV6 @ SY31 )
| ( cPx @ SV8 @ SY31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV7: $i,SV4: $i,SV9: $i,SV6: $i,SV5: $i] :
( ( ( cP @ SV5 @ SV6 @ SV9 )
= $false )
| ( ( cP @ SV4 @ SV5 @ SV7 )
= $false )
| ( ( ! [SY32: $i] :
( ~ ( cPx @ SV9 @ SY32 )
| ( cP @ SV7 @ SV6 @ SY32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV5: $i,SV4: $i,SV8: $i,SV10: $i,SV6: $i,SV7: $i] :
( ( ( ~ ( cP @ SV7 @ SV6 @ SV10 )
| ( cPx @ SV8 @ SV10 ) )
= $true )
| ( ( cP @ SV4 @ SV5 @ SV7 )
= $false )
| ( ( cP @ SV5 @ SV6 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV5: $i,SV4: $i,SV6: $i,SV7: $i,SV11: $i,SV9: $i] :
( ( ( ~ ( cPx @ SV9 @ SV11 )
| ( cP @ SV7 @ SV6 @ SV11 ) )
= $true )
| ( ( cP @ SV4 @ SV5 @ SV7 )
= $false )
| ( ( cP @ SV5 @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV5: $i,SV4: $i,SV8: $i,SV10: $i,SV6: $i,SV7: $i] :
( ( ( ~ ( cP @ SV7 @ SV6 @ SV10 ) )
= $true )
| ( ( cPx @ SV8 @ SV10 )
= $true )
| ( ( cP @ SV4 @ SV5 @ SV7 )
= $false )
| ( ( cP @ SV5 @ SV6 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV5: $i,SV4: $i,SV6: $i,SV7: $i,SV11: $i,SV9: $i] :
( ( ( ~ ( cPx @ SV9 @ SV11 ) )
= $true )
| ( ( cP @ SV7 @ SV6 @ SV11 )
= $true )
| ( ( cP @ SV4 @ SV5 @ SV7 )
= $false )
| ( ( cP @ SV5 @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV5: $i,SV4: $i,SV8: $i,SV10: $i,SV6: $i,SV7: $i] :
( ( ( cP @ SV7 @ SV6 @ SV10 )
= $false )
| ( ( cPx @ SV8 @ SV10 )
= $true )
| ( ( cP @ SV4 @ SV5 @ SV7 )
= $false )
| ( ( cP @ SV5 @ SV6 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV5: $i,SV4: $i,SV6: $i,SV7: $i,SV11: $i,SV9: $i] :
( ( ( cPx @ SV9 @ SV11 )
= $false )
| ( ( cP @ SV7 @ SV6 @ SV11 )
= $true )
| ( ( cP @ SV4 @ SV5 @ SV7 )
= $false )
| ( ( cP @ SV5 @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(48,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,47,46,22,21,20,19]) ).
thf(49,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO169^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 17:35:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 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)....
% 0.19/0.41
% 0.19/0.41 ********************************
% 0.19/0.41 * All subproblems solved! *
% 0.19/0.41 ********************************
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,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:48,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.41
% 0.19/0.41 %**** Beginning of derivation protocol ****
% 0.19/0.41 % SZS output start CNFRefutation
% See solution above
% 0.19/0.41
% 0.19/0.41 %**** End of derivation protocol ****
% 0.19/0.41 %**** no. of clauses in derivation: 49 ****
% 0.19/0.41 %**** clause counter: 48 ****
% 0.19/0.41
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,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:48,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------