TSTP Solution File: LCL734^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL734^5 : 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 : n003.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 : Sun Jul 17 12:26:20 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 65 ( 25 unt; 6 typ; 0 def)
% Number of atoms : 306 ( 104 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 892 ( 105 ~; 87 |; 4 &; 684 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 374 ( 374 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 274 ( 76 ^ 180 !; 18 ?; 274 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_b,type,
b: $tType ).
thf(tp_sK1_Xp,type,
sK1_Xp: ( ( b > $o ) > b ) > b > $o ).
thf(tp_sK2_SY9,type,
sK2_SY9: ( ( b > $o ) > b ) > b ).
thf(tp_sK3_Xf,type,
sK3_Xf: ( ( b > $o ) > b > $o ) > ( ( b > $o ) > b > $o ) > ( b > $o ) > b ).
thf(tp_sK4_Xx,type,
sK4_Xx: ( ( b > $o ) > b > $o ) > ( ( b > $o ) > b > $o ) > b > $o ).
thf(tp_sK5_Eigen,type,
sK5_Eigen: ( b > $o ) > b ).
thf(1,conjecture,
( ! [Xr_3: ( b > $o ) > b > $o,Xr_4: ( b > $o ) > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b] :
( ( Xr_3 @ Xx @ Xy )
| ( Xr_4 @ Xx @ Xy ) )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] :
( ( Xr_3 @ Xx @ ( Xf @ Xx ) )
| ( Xr_4 @ Xx @ ( Xf @ Xx ) ) ) )
=> ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX5310B) ).
thf(2,negated_conjecture,
( ( ! [Xr_3: ( b > $o ) > b > $o,Xr_4: ( b > $o ) > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b] :
( ( Xr_3 @ Xx @ Xy )
| ( Xr_4 @ Xx @ Xy ) )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] :
( ( Xr_3 @ Xx @ ( Xf @ Xx ) )
| ( Xr_4 @ Xx @ ( Xf @ Xx ) ) ) )
=> ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr_3: ( b > $o ) > b > $o,Xr_4: ( b > $o ) > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b] :
( ( Xr_3 @ Xx @ Xy )
| ( Xr_4 @ Xx @ Xy ) )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] :
( ( Xr_3 @ Xx @ ( Xf @ Xx ) )
| ( Xr_4 @ Xx @ ( Xf @ Xx ) ) ) )
=> ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xr_3: ( b > $o ) > b > $o,Xr_4: ( b > $o ) > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b] :
( ( Xr_3 @ Xx @ Xy )
| ( Xr_4 @ Xx @ Xy ) )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] :
( ( Xr_3 @ Xx @ ( Xf @ Xx ) )
| ( Xr_4 @ Xx @ ( Xf @ Xx ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [Xj: ( b > $o ) > b] :
( ( sK1_Xp @ Xj @ ( sK2_SY9 @ Xj ) )
& ~ ( sK1_Xp @ Xj @ ( Xj @ ( sK1_Xp @ Xj ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [Xr_3: ( b > $o ) > b > $o,Xr_4: ( b > $o ) > b > $o] :
( ( ! [SY11: b] :
~ ( Xr_3 @ ( sK4_Xx @ Xr_4 @ Xr_3 ) @ SY11 )
& ! [SY12: b] :
~ ( Xr_4 @ ( sK4_Xx @ Xr_4 @ Xr_3 ) @ SY12 ) )
| ! [SY10: b > $o] :
( ( Xr_3 @ SY10 @ ( sK3_Xf @ Xr_4 @ Xr_3 @ SY10 ) )
| ( Xr_4 @ SY10 @ ( sK3_Xf @ Xr_4 @ Xr_3 @ SY10 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [Xr_3: ( b > $o ) > b > $o,Xr_4: ( b > $o ) > b > $o] :
( ( ! [SY11: b] :
~ ( Xr_3 @ ( sK4_Xx @ Xr_4 @ Xr_3 ) @ SY11 )
& ! [SY12: b] :
~ ( Xr_4 @ ( sK4_Xx @ Xr_4 @ Xr_3 ) @ SY12 ) )
| ! [SY10: b > $o] :
( ( Xr_3 @ SY10 @ ( sK3_Xf @ Xr_4 @ Xr_3 @ SY10 ) )
| ( Xr_4 @ SY10 @ ( sK3_Xf @ Xr_4 @ Xr_3 @ SY10 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [Xj: ( b > $o ) > b] :
( ( sK1_Xp @ Xj @ ( sK2_SY9 @ Xj ) )
& ~ ( sK1_Xp @ Xj @ ( Xj @ ( sK1_Xp @ Xj ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: ( b > $o ) > b > $o,SX1: ( b > $o ) > b > $o] :
( ~ ( ~ ! [SX2: b] :
~ ( SX0 @ ( sK4_Xx @ SX1 @ SX0 ) @ SX2 )
| ~ ! [SX2: b] :
~ ( SX1 @ ( sK4_Xx @ SX1 @ SX0 ) @ SX2 ) )
| ! [SX2: b > $o] :
( ( SX0 @ SX2 @ ( sK3_Xf @ SX1 @ SX0 @ SX2 ) )
| ( SX1 @ SX2 @ ( sK3_Xf @ SX1 @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [SX0: ( b > $o ) > b] :
~ ( ~ ( sK1_Xp @ SX0 @ ( sK2_SY9 @ SX0 ) )
| ~ ~ ( sK1_Xp @ SX0 @ ( SX0 @ ( sK1_Xp @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: ( b > $o ) > b > $o] :
( ( ! [SY13: ( b > $o ) > b > $o] :
( ~ ( ~ ! [SY14: b] :
~ ( SV1 @ ( sK4_Xx @ SY13 @ SV1 ) @ SY14 )
| ~ ! [SY15: b] :
~ ( SY13 @ ( sK4_Xx @ SY13 @ SV1 ) @ SY15 ) )
| ! [SY16: b > $o] :
( ( SV1 @ SY16 @ ( sK3_Xf @ SY13 @ SV1 @ SY16 ) )
| ( SY13 @ SY16 @ ( sK3_Xf @ SY13 @ SV1 @ SY16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( ~ ( sK1_Xp @ SV2 @ ( sK2_SY9 @ SV2 ) )
| ~ ~ ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV3: ( b > $o ) > b > $o,SV1: ( b > $o ) > b > $o] :
( ( ~ ( ~ ! [SY17: b] :
~ ( SV1 @ ( sK4_Xx @ SV3 @ SV1 ) @ SY17 )
| ~ ! [SY18: b] :
~ ( SV3 @ ( sK4_Xx @ SV3 @ SV1 ) @ SY18 ) )
| ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( sK1_Xp @ SV2 @ ( sK2_SY9 @ SV2 ) )
| ~ ~ ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV3: ( b > $o ) > b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ~ ( ~ ! [SY17: b] :
~ ( SV1 @ ( sK4_Xx @ SV3 @ SV1 ) @ SY17 )
| ~ ! [SY18: b] :
~ ( SV3 @ ( sK4_Xx @ SV3 @ SV1 ) @ SY18 ) ) )
= $true )
| ( ( ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( sK1_Xp @ SV2 @ ( sK2_SY9 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ~ ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV3: ( b > $o ) > b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ~ ! [SY17: b] :
~ ( SV1 @ ( sK4_Xx @ SV3 @ SV1 ) @ SY17 )
| ~ ! [SY18: b] :
~ ( SV3 @ ( sK4_Xx @ SV3 @ SV1 ) @ SY18 ) )
= $false )
| ( ( ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: ( b > $o ) > b] :
( ( sK1_Xp @ SV2 @ ( sK2_SY9 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV3: ( b > $o ) > b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ~ ! [SY17: b] :
~ ( SV1 @ ( sK4_Xx @ SV3 @ SV1 ) @ SY17 ) )
= $false )
| ( ( ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: ( b > $o ) > b > $o,SV3: ( b > $o ) > b > $o] :
( ( ( ~ ! [SY18: b] :
~ ( SV3 @ ( sK4_Xx @ SV3 @ SV1 ) @ SY18 ) )
= $false )
| ( ( ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV2: ( b > $o ) > b] :
( ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV3: ( b > $o ) > b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ! [SY17: b] :
~ ( SV1 @ ( sK4_Xx @ SV3 @ SV1 ) @ SY17 ) )
= $true )
| ( ( ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: ( b > $o ) > b > $o,SV3: ( b > $o ) > b > $o] :
( ( ( ! [SY18: b] :
~ ( SV3 @ ( sK4_Xx @ SV3 @ SV1 ) @ SY18 ) )
= $true )
| ( ( ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV4: b,SV3: ( b > $o ) > b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ~ ( SV1 @ ( sK4_Xx @ SV3 @ SV1 ) @ SV4 ) )
= $true )
| ( ( ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV5: b,SV1: ( b > $o ) > b > $o,SV3: ( b > $o ) > b > $o] :
( ( ( ~ ( SV3 @ ( sK4_Xx @ SV3 @ SV1 ) @ SV5 ) )
= $true )
| ( ( ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV4: b,SV3: ( b > $o ) > b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ ( sK4_Xx @ SV3 @ SV1 ) @ SV4 )
= $false )
| ( ( ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV5: b,SV1: ( b > $o ) > b > $o,SV3: ( b > $o ) > b > $o] :
( ( ( SV3 @ ( sK4_Xx @ SV3 @ SV1 ) @ SV5 )
= $false )
| ( ( ! [SY19: b > $o] :
( ( SV1 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) )
| ( SV3 @ SY19 @ ( sK3_Xf @ SV3 @ SV1 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV4: b,SV3: ( b > $o ) > b > $o,SV6: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ( SV1 @ SV6 @ ( sK3_Xf @ SV3 @ SV1 @ SV6 ) )
| ( SV3 @ SV6 @ ( sK3_Xf @ SV3 @ SV1 @ SV6 ) ) )
= $true )
| ( ( SV1 @ ( sK4_Xx @ SV3 @ SV1 ) @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV5: b,SV3: ( b > $o ) > b > $o,SV7: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ( SV1 @ SV7 @ ( sK3_Xf @ SV3 @ SV1 @ SV7 ) )
| ( SV3 @ SV7 @ ( sK3_Xf @ SV3 @ SV1 @ SV7 ) ) )
= $true )
| ( ( SV3 @ ( sK4_Xx @ SV3 @ SV1 ) @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV4: b,SV3: ( b > $o ) > b > $o,SV6: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ SV6 @ ( sK3_Xf @ SV3 @ SV1 @ SV6 ) )
= $true )
| ( ( SV3 @ SV6 @ ( sK3_Xf @ SV3 @ SV1 @ SV6 ) )
= $true )
| ( ( SV1 @ ( sK4_Xx @ SV3 @ SV1 ) @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(35,plain,
! [SV5: b,SV3: ( b > $o ) > b > $o,SV7: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ SV7 @ ( sK3_Xf @ SV3 @ SV1 @ SV7 ) )
= $true )
| ( ( SV3 @ SV7 @ ( sK3_Xf @ SV3 @ SV1 @ SV7 ) )
= $true )
| ( ( SV3 @ ( sK4_Xx @ SV3 @ SV1 ) @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(36,plain,
( ( sK1_Xp @ sK5_Eigen @ ( sK5_Eigen @ ( sK1_Xp @ sK5_Eigen ) ) )
= $false ),
inference(instantiate,[status(thm)],[25:[bind(SV2,$thf( sK5_Eigen ))]]) ).
thf(37,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ~ ! [SV8: b] :
~ ( sK1_Xp @ SV2 @ SV8 )
| ( sK1_Xp @ SV2 @ ( sK5_Eigen @ ( sK1_Xp @ SV2 ) ) ) )
= $true ),
inference(choice,[status(thm)],[25]) ).
thf(38,plain,
! [SV9: ( b > $o ) > b] :
( ( ~ ~ ! [SX0: b] :
~ ( sK1_Xp @ SV9 @ SX0 )
| ( sK1_Xp @ SV9 @ ( sK5_Eigen @ ( sK1_Xp @ SV9 ) ) ) )
= $true ),
inference(rename,[status(thm)],[37]) ).
thf(39,plain,
! [SV9: ( b > $o ) > b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( sK1_Xp @ SV9 @ SX0 ) )
= $true )
| ( ( sK1_Xp @ SV9 @ ( sK5_Eigen @ ( sK1_Xp @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(40,plain,
! [SV9: ( b > $o ) > b] :
( ( ( ~ ! [SX0: b] :
~ ( sK1_Xp @ SV9 @ SX0 ) )
= $false )
| ( ( sK1_Xp @ SV9 @ ( sK5_Eigen @ ( sK1_Xp @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(41,plain,
! [SV9: ( b > $o ) > b] :
( ( ( ! [SX0: b] :
~ ( sK1_Xp @ SV9 @ SX0 ) )
= $true )
| ( ( sK1_Xp @ SV9 @ ( sK5_Eigen @ ( sK1_Xp @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(42,plain,
! [SV10: b,SV9: ( b > $o ) > b] :
( ( ( ~ ( sK1_Xp @ SV9 @ SV10 ) )
= $true )
| ( ( sK1_Xp @ SV9 @ ( sK5_Eigen @ ( sK1_Xp @ SV9 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV10: b,SV9: ( b > $o ) > b] :
( ( ( sK1_Xp @ SV9 @ SV10 )
= $false )
| ( ( sK1_Xp @ SV9 @ ( sK5_Eigen @ ( sK1_Xp @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV4: b,SV6: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ SV6
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : $false
@ SV1
@ SV6 ) )
= $true )
| ( $false = $true )
| ( ( SV1
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : $false
@ SV1 )
@ SV4 )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV3,$thf( ^ [SV14: b > $o] : ^ [SV15: b] : $false ))]]) ).
thf(46,plain,
! [SV4: b,SV13: ( b > $o ) > b > $o,SV6: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ SV6
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1
@ SV6 ) )
= $true )
| ( ( ~ ( SV13 @ SV6
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1
@ SV6 ) ) )
= $true )
| ( ( SV1
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1 )
@ SV4 )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV3,$thf( ^ [SV11: b > $o] : ^ [SV12: b] : ~ ( SV13 @ SV11 @ SV12 ) ))]]) ).
thf(49,plain,
! [SV4: b,SV3: ( b > $o ) > b > $o,SV6: b > $o,SV20: ( b > $o ) > b > $o] :
( ( ( ~ ( SV20 @ SV6
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV6 ) ) )
= $true )
| ( ( SV3 @ SV6
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV6 ) )
= $true )
| ( ( ~ ( SV20
@ ( sK4_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV4 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV1,$thf( ^ [SV18: b > $o] : ^ [SV19: b] : ~ ( SV20 @ SV18 @ SV19 ) ))]]) ).
thf(52,plain,
! [SV5: b,SV13: ( b > $o ) > b > $o,SV7: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ SV7
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1
@ SV7 ) )
= $true )
| ( ( ~ ( SV13 @ SV7
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1
@ SV7 ) ) )
= $true )
| ( ( ~ ( SV13
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1 )
@ SV5 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV3,$thf( ^ [SV11: b > $o] : ^ [SV12: b] : ~ ( SV13 @ SV11 @ SV12 ) ))]]) ).
thf(54,plain,
! [SV5: b,SV7: b > $o,SV3: ( b > $o ) > b > $o] :
( ( $false = $true )
| ( ( SV3 @ SV7
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] : $false
@ SV7 ) )
= $true )
| ( ( SV3
@ ( sK4_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b] : $false )
@ SV5 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV1,$thf( ^ [SV21: b > $o] : ^ [SV22: b] : $false ))]]) ).
thf(55,plain,
! [SV5: b,SV3: ( b > $o ) > b > $o,SV7: b > $o,SV20: ( b > $o ) > b > $o] :
( ( ( ~ ( SV20 @ SV7
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV7 ) ) )
= $true )
| ( ( SV3 @ SV7
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV7 ) )
= $true )
| ( ( SV3
@ ( sK4_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV5 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV1,$thf( ^ [SV18: b > $o] : ^ [SV19: b] : ~ ( SV20 @ SV18 @ SV19 ) ))]]) ).
thf(56,plain,
! [SV4: b,SV1: ( b > $o ) > b > $o,SV6: b > $o,SV13: ( b > $o ) > b > $o] :
( ( ( SV13 @ SV6
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1
@ SV6 ) )
= $false )
| ( ( SV1 @ SV6
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1
@ SV6 ) )
= $true )
| ( ( SV1
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1 )
@ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(57,plain,
! [SV4: b,SV3: ( b > $o ) > b > $o,SV6: b > $o,SV20: ( b > $o ) > b > $o] :
( ( ( SV20 @ SV6
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV6 ) )
= $false )
| ( ( SV3 @ SV6
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV6 ) )
= $true )
| ( ( ~ ( SV20
@ ( sK4_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV5: b,SV1: ( b > $o ) > b > $o,SV7: b > $o,SV13: ( b > $o ) > b > $o] :
( ( ( SV13 @ SV7
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1
@ SV7 ) )
= $false )
| ( ( SV1 @ SV7
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1
@ SV7 ) )
= $true )
| ( ( ~ ( SV13
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1 )
@ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV5: b,SV3: ( b > $o ) > b > $o,SV7: b > $o,SV20: ( b > $o ) > b > $o] :
( ( ( SV20 @ SV7
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV7 ) )
= $false )
| ( ( SV3 @ SV7
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV7 ) )
= $true )
| ( ( SV3
@ ( sK4_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV6: b > $o,SV4: b,SV3: ( b > $o ) > b > $o,SV20: ( b > $o ) > b > $o] :
( ( ( SV20
@ ( sK4_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV4 )
= $true )
| ( ( SV3 @ SV6
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV6 ) )
= $true )
| ( ( SV20 @ SV6
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(61,plain,
! [SV7: b > $o,SV5: b,SV1: ( b > $o ) > b > $o,SV13: ( b > $o ) > b > $o] :
( ( ( SV13
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1 )
@ SV5 )
= $true )
| ( ( SV1 @ SV7
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1
@ SV7 ) )
= $true )
| ( ( SV13 @ SV7
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV13 @ SX0 @ SX1 )
@ SV1
@ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(62,plain,
! [SV4: b,SV6: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ SV6
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : $false
@ SV1
@ SV6 ) )
= $true )
| ( ( SV1
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : $false
@ SV1 )
@ SV4 )
= $false ) ),
inference(sim,[status(thm)],[45]) ).
thf(63,plain,
! [SV5: b,SV7: b > $o,SV3: ( b > $o ) > b > $o] :
( ( ( SV3 @ SV7
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b] : $false
@ SV7 ) )
= $true )
| ( ( SV3
@ ( sK4_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b] : $false )
@ SV5 )
= $false ) ),
inference(sim,[status(thm)],[54]) ).
thf(64,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,63,62,61,60,59,56,43,36,35,34,25]) ).
thf(65,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL734^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 06:16:54 EDT 2022
% 0.12/0.33 % 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
% 0.12/0.34 (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)...
% 0.12/0.38
% 0.12/0.38 *** Modified list of choice operators: sK5_Eigen ***
% 0.19/0.50
% 0.19/0.50 ********************************
% 0.19/0.50 * All subproblems solved! *
% 0.19/0.50 ********************************
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/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:64,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.19/0.50
% 0.19/0.50 %**** Beginning of derivation protocol ****
% 0.19/0.50 % SZS output start CNFRefutation
% See solution above
% 0.19/0.50
% 0.19/0.50 %**** End of derivation protocol ****
% 0.19/0.50 %**** no. of clauses in derivation: 59 ****
% 0.19/0.50 %**** clause counter: 64 ****
% 0.19/0.50
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/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:64,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------