TSTP Solution File: SYN059^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN059^5 : 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 : n010.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 08:23:08 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 91 ( 65 unt; 9 typ; 0 def)
% Number of atoms : 512 ( 103 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 737 ( 210 ~; 128 |; 51 &; 303 @)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 134 ( 0 ^ 126 !; 8 ?; 134 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cF,type,
cF: $i > $o ).
thf(tp_cG,type,
cG: $i > $o ).
thf(tp_cH,type,
cH: $i > $o ).
thf(tp_cJ,type,
cJ: $i > $o ).
thf(tp_sK1_Xx,type,
sK1_Xx: $i ).
thf(tp_sK2_SY9,type,
sK2_SY9: $i ).
thf(tp_sK3_Xx,type,
sK3_Xx: $i ).
thf(tp_sK4_Xx,type,
sK4_Xx: $i ).
thf(tp_sK5_Xx,type,
sK5_Xx: $i ).
thf(1,conjecture,
( ( ? [Xx: $i] : ( cF @ Xx )
& ? [Xx: $i] : ( cG @ Xx ) )
=> ( ( ( ! [Xx: $i] :
( ( cF @ Xx )
=> ( cH @ Xx ) )
& ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) ) )
& ( ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) )
=> ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPELL29) ).
thf(2,negated_conjecture,
( ( ( ? [Xx: $i] : ( cF @ Xx )
& ? [Xx: $i] : ( cG @ Xx ) )
=> ( ( ( ! [Xx: $i] :
( ( cF @ Xx )
=> ( cH @ Xx ) )
& ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) ) )
& ( ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) )
=> ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ? [Xx: $i] : ( cF @ Xx )
& ? [Xx: $i] : ( cG @ Xx ) )
=> ( ( ( ! [Xx: $i] :
( ( cF @ Xx )
=> ( cH @ Xx ) )
& ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) ) )
& ( ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) )
=> ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [Xx: $i] : ( cF @ Xx ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ? [Xx: $i] : ( cG @ Xx ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ( ( ! [Xx: $i] :
( ( cF @ Xx )
=> ( cH @ Xx ) )
& ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) ) )
& ( ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) )
=> ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ( ! [Xx: $i] :
( ( cF @ Xx )
=> ( cH @ Xx ) )
& ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(8,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) )
=> ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[6]) ).
thf(9,plain,
( ( ~ ( ( ! [Xx: $i] :
( ( cF @ Xx )
=> ( cH @ Xx ) )
& ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ( ! [Xx: $i,Xy: $i] :
( ( ( cF @ Xx )
& ( cG @ Xy ) )
=> ( ( cH @ Xx )
& ( cJ @ Xy ) ) )
=> ! [Xx: $i] :
( ( cG @ Xx )
=> ( cJ @ Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [Xx: $i] :
( ~ ( cF @ Xx )
| ( cH @ Xx ) )
& ! [Xx: $i] :
( ~ ( cG @ Xx )
| ( cJ @ Xx ) )
& ( cF @ sK1_Xx )
& ( cG @ sK2_SY9 )
& ( ~ ( cH @ sK1_Xx )
| ~ ( cJ @ sK2_SY9 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(12,plain,
( ( ! [Xx: $i] :
( ~ ( cF @ Xx )
| ! [Xy: $i] :
~ ( cG @ Xy )
| ( cH @ Xx ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cF @ Xx )
| ~ ( cG @ Xy )
| ( cJ @ Xy ) )
& ( cG @ sK3_Xx )
& ~ ( cJ @ sK3_Xx ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(13,plain,
( ( cF @ sK4_Xx )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(14,plain,
( ( cG @ sK5_Xx )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(15,plain,
( ( cG @ sK5_Xx )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,plain,
( ( cF @ sK4_Xx )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [Xx: $i] :
( ~ ( cF @ Xx )
| ( cH @ Xx ) )
& ! [Xx: $i] :
( ~ ( cG @ Xx )
| ( cJ @ Xx ) )
& ( cF @ sK1_Xx )
& ( cG @ sK2_SY9 )
& ( ~ ( cH @ sK1_Xx )
| ~ ( cJ @ sK2_SY9 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(18,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ( cH @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cG @ SX0 )
| ( cJ @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( cF @ sK1_Xx )
| ~ ( cG @ sK2_SY9 ) )
| ~ ( ~ ( cH @ sK1_Xx )
| ~ ( cJ @ sK2_SY9 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(19,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ( cH @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cG @ SX0 )
| ( cJ @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( cF @ sK1_Xx )
| ~ ( cG @ sK2_SY9 ) )
| ~ ( ~ ( cH @ sK1_Xx )
| ~ ( cJ @ sK2_SY9 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(20,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ( cH @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cG @ SX0 )
| ( cJ @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(21,plain,
( ( ~ ~ ( ~ ~ ( ~ ( cF @ sK1_Xx )
| ~ ( cG @ sK2_SY9 ) )
| ~ ( ~ ( cH @ sK1_Xx )
| ~ ( cJ @ sK2_SY9 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ( cH @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cG @ SX0 )
| ( cJ @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ( ~ ~ ( ~ ( cF @ sK1_Xx )
| ~ ( cG @ sK2_SY9 ) )
| ~ ( ~ ( cH @ sK1_Xx )
| ~ ( cJ @ sK2_SY9 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ( cH @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cG @ SX0 )
| ( cJ @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ~ ( ~ ( cF @ sK1_Xx )
| ~ ( cG @ sK2_SY9 ) )
| ~ ( ~ ( cH @ sK1_Xx )
| ~ ( cJ @ sK2_SY9 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ( cH @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cG @ SX0 )
| ( cJ @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ~ ( ~ ( cF @ sK1_Xx )
| ~ ( cG @ sK2_SY9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( ~ ( cH @ sK1_Xx )
| ~ ( cJ @ sK2_SY9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ( cH @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ! [SX0: $i] :
( ~ ( cG @ SX0 )
| ( cJ @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ( ~ ( cF @ sK1_Xx )
| ~ ( cG @ sK2_SY9 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ ( cH @ sK1_Xx )
| ~ ( cJ @ sK2_SY9 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: $i] :
( ( ~ ( cF @ SV1 )
| ( cH @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV2: $i] :
( ( ~ ( cG @ SV2 )
| ( cJ @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ( cF @ sK1_Xx )
| ~ ( cG @ sK2_SY9 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
( ( ( ~ ( cH @ sK1_Xx ) )
= $true )
| ( ( ~ ( cJ @ sK2_SY9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV1: $i] :
( ( ( ~ ( cF @ SV1 ) )
= $true )
| ( ( cH @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV2: $i] :
( ( ( ~ ( cG @ SV2 ) )
= $true )
| ( ( cJ @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ~ ( cF @ sK1_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ( cG @ sK2_SY9 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(42,plain,
( ( ( cH @ sK1_Xx )
= $false )
| ( ( ~ ( cJ @ sK2_SY9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV1: $i] :
( ( ( cF @ SV1 )
= $false )
| ( ( cH @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV2: $i] :
( ( ( cG @ SV2 )
= $false )
| ( ( cJ @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(45,plain,
( ( cF @ sK1_Xx )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(46,plain,
( ( cG @ sK2_SY9 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(47,plain,
( ( ( cJ @ sK2_SY9 )
= $false )
| ( ( cH @ sK1_Xx )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,47,46,45,44,43,16]) ).
thf(49,plain,
( ( cG @ sK5_Xx )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(50,plain,
( ( cF @ sK4_Xx )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(51,plain,
( ( ! [Xx: $i] :
( ~ ( cF @ Xx )
| ! [Xy: $i] :
~ ( cG @ Xy )
| ( cH @ Xx ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cF @ Xx )
| ~ ( cG @ Xy )
| ( cJ @ Xy ) )
& ( cG @ sK3_Xx )
& ~ ( cJ @ sK3_Xx ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(52,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ! [SX1: $i] :
~ ( cG @ SX1 )
| ( cH @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( cF @ SX0 )
| ~ ( cG @ SX1 )
| ( cJ @ SX1 ) ) )
| ~ ~ ( ~ ( cG @ sK3_Xx )
| ~ ~ ( cJ @ sK3_Xx ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(53,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ! [SX1: $i] :
~ ( cG @ SX1 )
| ( cH @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( cF @ SX0 )
| ~ ( cG @ SX1 )
| ( cJ @ SX1 ) ) )
| ~ ~ ( ~ ( cG @ sK3_Xx )
| ~ ~ ( cJ @ sK3_Xx ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(54,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ! [SX1: $i] :
~ ( cG @ SX1 )
| ( cH @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( cF @ SX0 )
| ~ ( cG @ SX1 )
| ( cJ @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(55,plain,
( ( ~ ~ ( ~ ( cG @ sK3_Xx )
| ~ ~ ( cJ @ sK3_Xx ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(56,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ! [SX1: $i] :
~ ( cG @ SX1 )
| ( cH @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( cF @ SX0 )
| ~ ( cG @ SX1 )
| ( cJ @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(57,plain,
( ( ~ ( ~ ( cG @ sK3_Xx )
| ~ ~ ( cJ @ sK3_Xx ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(58,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ! [SX1: $i] :
~ ( cG @ SX1 )
| ( cH @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( cF @ SX0 )
| ~ ( cG @ SX1 )
| ( cJ @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(59,plain,
( ( ~ ( cG @ sK3_Xx )
| ~ ~ ( cJ @ sK3_Xx ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(60,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ! [SX1: $i] :
~ ( cG @ SX1 )
| ( cH @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(61,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( cF @ SX0 )
| ~ ( cG @ SX1 )
| ( cJ @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(62,plain,
( ( ~ ( cG @ sK3_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(63,plain,
( ( ~ ~ ( cJ @ sK3_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(64,plain,
( ( ! [SX0: $i] :
( ~ ( cF @ SX0 )
| ! [SX1: $i] :
~ ( cG @ SX1 )
| ( cH @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(65,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( cF @ SX0 )
| ~ ( cG @ SX1 )
| ( cJ @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(66,plain,
( ( cG @ sK3_Xx )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(67,plain,
( ( ~ ( cJ @ sK3_Xx ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(68,plain,
! [SV3: $i] :
( ( ~ ( cF @ SV3 )
| ! [SX1: $i] :
~ ( cG @ SX1 )
| ( cH @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(69,plain,
! [SV4: $i] :
( ( ! [SY11: $i] :
( ~ ( cF @ SV4 )
| ~ ( cG @ SY11 )
| ( cJ @ SY11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(70,plain,
( ( cJ @ sK3_Xx )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(71,plain,
! [SV3: $i] :
( ( ( ~ ( cF @ SV3 )
| ! [SX1: $i] :
~ ( cG @ SX1 ) )
= $true )
| ( ( cH @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(72,plain,
! [SV5: $i,SV4: $i] :
( ( ~ ( cF @ SV4 )
| ~ ( cG @ SV5 )
| ( cJ @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(73,plain,
! [SV3: $i] :
( ( ( ~ ( cF @ SV3 ) )
= $true )
| ( ( ! [SX1: $i] :
~ ( cG @ SX1 ) )
= $true )
| ( ( cH @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(74,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( cF @ SV4 )
| ~ ( cG @ SV5 ) )
= $true )
| ( ( cJ @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(75,plain,
! [SV3: $i] :
( ( ( cF @ SV3 )
= $false )
| ( ( ! [SX1: $i] :
~ ( cG @ SX1 ) )
= $true )
| ( ( cH @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(76,plain,
! [SV5: $i,SV4: $i] :
( ( ( ~ ( cF @ SV4 ) )
= $true )
| ( ( ~ ( cG @ SV5 ) )
= $true )
| ( ( cJ @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(77,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( cG @ SV6 ) )
= $true )
| ( ( cF @ SV3 )
= $false )
| ( ( cH @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV5: $i,SV4: $i] :
( ( ( cF @ SV4 )
= $false )
| ( ( ~ ( cG @ SV5 ) )
= $true )
| ( ( cJ @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(79,plain,
! [SV3: $i,SV6: $i] :
( ( ( cG @ SV6 )
= $false )
| ( ( cF @ SV3 )
= $false )
| ( ( cH @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV4: $i,SV5: $i] :
( ( ( cG @ SV5 )
= $false )
| ( ( cF @ SV4 )
= $false )
| ( ( cJ @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(81,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[49,80,79,70,66,50]) ).
thf(82,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[81,48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN059^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 13:53:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (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: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:81,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: 82 ****
% 0.19/0.41 %**** clause counter: 81 ****
% 0.19/0.41
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox/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:81,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------