TSTP Solution File: LCL736^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL736^5 : 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 : Sun Jul 17 12:26:20 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 25 unt; 8 typ; 0 def)
% Number of atoms : 320 ( 108 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1358 ( 127 ~; 91 |; 4 &;1124 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 514 ( 514 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 442 ( 186 ^ 230 !; 26 ?; 442 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_b,type,
b: $tType ).
thf(tp_sK1_Xp,type,
sK1_Xp: ( ( b > $o ) > b ) > b > $o ).
thf(tp_sK2_SY11,type,
sK2_SY11: ( ( b > $o ) > b ) > b ).
thf(tp_sK3_Xf,type,
sK3_Xf: ( ( b > $o ) > b > b > $o ) > ( ( b > $o ) > b > b > $o ) > ( b > $o ) > b ).
thf(tp_sK4_SY14,type,
sK4_SY14: ( b > $o ) > ( ( b > $o ) > b > b > $o ) > ( ( b > $o ) > b > b > $o ) > b ).
thf(tp_sK5_SY13,type,
sK5_SY13: ( b > $o ) > ( ( b > $o ) > b > b > $o ) > ( ( b > $o ) > b > b > $o ) > b ).
thf(tp_sK6_Xx,type,
sK6_Xx: ( ( b > $o ) > b > b > $o ) > ( ( b > $o ) > b > b > $o ) > b > $o ).
thf(tp_sK7_Eigen,type,
sK7_Eigen: ( b > $o ) > b ).
thf(1,conjecture,
( ! [Xr_41: ( b > $o ) > b > b > $o,Xr_42: ( b > $o ) > b > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b,Xw_11: b] :
( ( Xr_41 @ Xx @ Xy @ Xw_11 )
| ( Xr_42 @ Xx @ Xy @ Xw_11 ) )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] :
? [Xw_11: b] :
( ( Xr_41 @ Xx @ ( Xf @ Xx ) @ Xw_11 )
| ( Xr_42 @ Xx @ ( Xf @ Xx ) @ Xw_11 ) ) )
=> ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX5310D) ).
thf(2,negated_conjecture,
( ( ! [Xr_41: ( b > $o ) > b > b > $o,Xr_42: ( b > $o ) > b > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b,Xw_11: b] :
( ( Xr_41 @ Xx @ Xy @ Xw_11 )
| ( Xr_42 @ Xx @ Xy @ Xw_11 ) )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] :
? [Xw_11: b] :
( ( Xr_41 @ Xx @ ( Xf @ Xx ) @ Xw_11 )
| ( Xr_42 @ Xx @ ( Xf @ Xx ) @ Xw_11 ) ) )
=> ? [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_41: ( b > $o ) > b > b > $o,Xr_42: ( b > $o ) > b > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b,Xw_11: b] :
( ( Xr_41 @ Xx @ Xy @ Xw_11 )
| ( Xr_42 @ Xx @ Xy @ Xw_11 ) )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] :
? [Xw_11: b] :
( ( Xr_41 @ Xx @ ( Xf @ Xx ) @ Xw_11 )
| ( Xr_42 @ Xx @ ( Xf @ Xx ) @ Xw_11 ) ) )
=> ? [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_41: ( b > $o ) > b > b > $o,Xr_42: ( b > $o ) > b > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b,Xw_11: b] :
( ( Xr_41 @ Xx @ Xy @ Xw_11 )
| ( Xr_42 @ Xx @ Xy @ Xw_11 ) )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] :
? [Xw_11: b] :
( ( Xr_41 @ Xx @ ( Xf @ Xx ) @ Xw_11 )
| ( Xr_42 @ Xx @ ( Xf @ Xx ) @ Xw_11 ) ) ) )
= $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_SY11 @ Xj ) )
& ~ ( sK1_Xp @ Xj @ ( Xj @ ( sK1_Xp @ Xj ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [Xr_41: ( b > $o ) > b > b > $o,Xr_42: ( b > $o ) > b > b > $o] :
( ( ! [SY15: b,SY16: b] :
~ ( Xr_41 @ ( sK6_Xx @ Xr_42 @ Xr_41 ) @ SY15 @ SY16 )
& ! [SY17: b,SY18: b] :
~ ( Xr_42 @ ( sK6_Xx @ Xr_42 @ Xr_41 ) @ SY17 @ SY18 ) )
| ! [SY12: b > $o] :
( ( Xr_41 @ SY12 @ ( sK3_Xf @ Xr_42 @ Xr_41 @ SY12 ) @ ( sK5_SY13 @ SY12 @ Xr_42 @ Xr_41 ) )
| ( Xr_42 @ SY12 @ ( sK3_Xf @ Xr_42 @ Xr_41 @ SY12 ) @ ( sK4_SY14 @ SY12 @ Xr_42 @ Xr_41 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [Xr_41: ( b > $o ) > b > b > $o,Xr_42: ( b > $o ) > b > b > $o] :
( ( ! [SY15: b,SY16: b] :
~ ( Xr_41 @ ( sK6_Xx @ Xr_42 @ Xr_41 ) @ SY15 @ SY16 )
& ! [SY17: b,SY18: b] :
~ ( Xr_42 @ ( sK6_Xx @ Xr_42 @ Xr_41 ) @ SY17 @ SY18 ) )
| ! [SY12: b > $o] :
( ( Xr_41 @ SY12 @ ( sK3_Xf @ Xr_42 @ Xr_41 @ SY12 ) @ ( sK5_SY13 @ SY12 @ Xr_42 @ Xr_41 ) )
| ( Xr_42 @ SY12 @ ( sK3_Xf @ Xr_42 @ Xr_41 @ SY12 ) @ ( sK4_SY14 @ SY12 @ Xr_42 @ Xr_41 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [Xj: ( b > $o ) > b] :
( ( sK1_Xp @ Xj @ ( sK2_SY11 @ Xj ) )
& ~ ( sK1_Xp @ Xj @ ( Xj @ ( sK1_Xp @ Xj ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: ( b > $o ) > b > b > $o,SX1: ( b > $o ) > b > b > $o] :
( ~ ( ~ ! [SX2: b,SX3: b] :
~ ( SX0 @ ( sK6_Xx @ SX1 @ SX0 ) @ SX2 @ SX3 )
| ~ ! [SX2: b,SX3: b] :
~ ( SX1 @ ( sK6_Xx @ SX1 @ SX0 ) @ SX2 @ SX3 ) )
| ! [SX2: b > $o] :
( ( SX0 @ SX2 @ ( sK3_Xf @ SX1 @ SX0 @ SX2 ) @ ( sK5_SY13 @ SX2 @ SX1 @ SX0 ) )
| ( SX1 @ SX2 @ ( sK3_Xf @ SX1 @ SX0 @ SX2 ) @ ( sK4_SY14 @ SX2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [SX0: ( b > $o ) > b] :
~ ( ~ ( sK1_Xp @ SX0 @ ( sK2_SY11 @ SX0 ) )
| ~ ~ ( sK1_Xp @ SX0 @ ( SX0 @ ( sK1_Xp @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: ( b > $o ) > b > b > $o] :
( ( ! [SY19: ( b > $o ) > b > b > $o] :
( ~ ( ~ ! [SY20: b,SY21: b] :
~ ( SV1 @ ( sK6_Xx @ SY19 @ SV1 ) @ SY20 @ SY21 )
| ~ ! [SY22: b,SY23: b] :
~ ( SY19 @ ( sK6_Xx @ SY19 @ SV1 ) @ SY22 @ SY23 ) )
| ! [SY24: b > $o] :
( ( SV1 @ SY24 @ ( sK3_Xf @ SY19 @ SV1 @ SY24 ) @ ( sK5_SY13 @ SY24 @ SY19 @ SV1 ) )
| ( SY19 @ SY24 @ ( sK3_Xf @ SY19 @ SV1 @ SY24 ) @ ( sK4_SY14 @ SY24 @ SY19 @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( ~ ( sK1_Xp @ SV2 @ ( sK2_SY11 @ SV2 ) )
| ~ ~ ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV3: ( b > $o ) > b > b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ~ ( ~ ! [SY25: b,SY26: b] :
~ ( SV1 @ ( sK6_Xx @ SV3 @ SV1 ) @ SY25 @ SY26 )
| ~ ! [SY27: b,SY28: b] :
~ ( SV3 @ ( sK6_Xx @ SV3 @ SV1 ) @ SY27 @ SY28 ) )
| ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( sK1_Xp @ SV2 @ ( sK2_SY11 @ SV2 ) )
| ~ ~ ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV3: ( b > $o ) > b > b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( ~ ( ~ ! [SY25: b,SY26: b] :
~ ( SV1 @ ( sK6_Xx @ SV3 @ SV1 ) @ SY25 @ SY26 )
| ~ ! [SY27: b,SY28: b] :
~ ( SV3 @ ( sK6_Xx @ SV3 @ SV1 ) @ SY27 @ SY28 ) ) )
= $true )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( sK1_Xp @ SV2 @ ( sK2_SY11 @ 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 > b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( ~ ! [SY25: b,SY26: b] :
~ ( SV1 @ ( sK6_Xx @ SV3 @ SV1 ) @ SY25 @ SY26 )
| ~ ! [SY27: b,SY28: b] :
~ ( SV3 @ ( sK6_Xx @ SV3 @ SV1 ) @ SY27 @ SY28 ) )
= $false )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: ( b > $o ) > b] :
( ( sK1_Xp @ SV2 @ ( sK2_SY11 @ 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 > b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( ~ ! [SY25: b,SY26: b] :
~ ( SV1 @ ( sK6_Xx @ SV3 @ SV1 ) @ SY25 @ SY26 ) )
= $false )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: ( b > $o ) > b > b > $o,SV3: ( b > $o ) > b > b > $o] :
( ( ( ~ ! [SY27: b,SY28: b] :
~ ( SV3 @ ( sK6_Xx @ SV3 @ SV1 ) @ SY27 @ SY28 ) )
= $false )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $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 > b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( ! [SY25: b,SY26: b] :
~ ( SV1 @ ( sK6_Xx @ SV3 @ SV1 ) @ SY25 @ SY26 ) )
= $true )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: ( b > $o ) > b > b > $o,SV3: ( b > $o ) > b > b > $o] :
( ( ( ! [SY27: b,SY28: b] :
~ ( SV3 @ ( sK6_Xx @ SV3 @ SV1 ) @ SY27 @ SY28 ) )
= $true )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV4: b,SV3: ( b > $o ) > b > b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( ! [SY30: b] :
~ ( SV1 @ ( sK6_Xx @ SV3 @ SV1 ) @ SV4 @ SY30 ) )
= $true )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV5: b,SV1: ( b > $o ) > b > b > $o,SV3: ( b > $o ) > b > b > $o] :
( ( ( ! [SY31: b] :
~ ( SV3 @ ( sK6_Xx @ SV3 @ SV1 ) @ SV5 @ SY31 ) )
= $true )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV6: b,SV4: b,SV3: ( b > $o ) > b > b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( ~ ( SV1 @ ( sK6_Xx @ SV3 @ SV1 ) @ SV4 @ SV6 ) )
= $true )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV7: b,SV5: b,SV1: ( b > $o ) > b > b > $o,SV3: ( b > $o ) > b > b > $o] :
( ( ( ~ ( SV3 @ ( sK6_Xx @ SV3 @ SV1 ) @ SV5 @ SV7 ) )
= $true )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV6: b,SV4: b,SV3: ( b > $o ) > b > b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( SV1 @ ( sK6_Xx @ SV3 @ SV1 ) @ SV4 @ SV6 )
= $false )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV7: b,SV5: b,SV1: ( b > $o ) > b > b > $o,SV3: ( b > $o ) > b > b > $o] :
( ( ( SV3 @ ( sK6_Xx @ SV3 @ SV1 ) @ SV5 @ SV7 )
= $false )
| ( ( ! [SY29: b > $o] :
( ( SV1 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK5_SY13 @ SY29 @ SV3 @ SV1 ) )
| ( SV3 @ SY29 @ ( sK3_Xf @ SV3 @ SV1 @ SY29 ) @ ( sK4_SY14 @ SY29 @ SV3 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV6: b,SV4: b,SV3: ( b > $o ) > b > b > $o,SV8: b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( ( SV1 @ SV8 @ ( sK3_Xf @ SV3 @ SV1 @ SV8 ) @ ( sK5_SY13 @ SV8 @ SV3 @ SV1 ) )
| ( SV3 @ SV8 @ ( sK3_Xf @ SV3 @ SV1 @ SV8 ) @ ( sK4_SY14 @ SV8 @ SV3 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK6_Xx @ SV3 @ SV1 ) @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(35,plain,
! [SV7: b,SV5: b,SV3: ( b > $o ) > b > b > $o,SV9: b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( ( SV1 @ SV9 @ ( sK3_Xf @ SV3 @ SV1 @ SV9 ) @ ( sK5_SY13 @ SV9 @ SV3 @ SV1 ) )
| ( SV3 @ SV9 @ ( sK3_Xf @ SV3 @ SV1 @ SV9 ) @ ( sK4_SY14 @ SV9 @ SV3 @ SV1 ) ) )
= $true )
| ( ( SV3 @ ( sK6_Xx @ SV3 @ SV1 ) @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(36,plain,
! [SV6: b,SV4: b,SV3: ( b > $o ) > b > b > $o,SV8: b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( SV1 @ SV8 @ ( sK3_Xf @ SV3 @ SV1 @ SV8 ) @ ( sK5_SY13 @ SV8 @ SV3 @ SV1 ) )
= $true )
| ( ( SV3 @ SV8 @ ( sK3_Xf @ SV3 @ SV1 @ SV8 ) @ ( sK4_SY14 @ SV8 @ SV3 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK6_Xx @ SV3 @ SV1 ) @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV7: b,SV5: b,SV3: ( b > $o ) > b > b > $o,SV9: b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( SV1 @ SV9 @ ( sK3_Xf @ SV3 @ SV1 @ SV9 ) @ ( sK5_SY13 @ SV9 @ SV3 @ SV1 ) )
= $true )
| ( ( SV3 @ SV9 @ ( sK3_Xf @ SV3 @ SV1 @ SV9 ) @ ( sK4_SY14 @ SV9 @ SV3 @ SV1 ) )
= $true )
| ( ( SV3 @ ( sK6_Xx @ SV3 @ SV1 ) @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(38,plain,
( ( sK1_Xp @ sK7_Eigen @ ( sK7_Eigen @ ( sK1_Xp @ sK7_Eigen ) ) )
= $false ),
inference(instantiate,[status(thm)],[25:[bind(SV2,$thf( sK7_Eigen ))]]) ).
thf(39,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ~ ! [SV10: b] :
~ ( sK1_Xp @ SV2 @ SV10 )
| ( sK1_Xp @ SV2 @ ( sK7_Eigen @ ( sK1_Xp @ SV2 ) ) ) )
= $true ),
inference(choice,[status(thm)],[25]) ).
thf(40,plain,
! [SV11: ( b > $o ) > b] :
( ( ~ ~ ! [SX0: b] :
~ ( sK1_Xp @ SV11 @ SX0 )
| ( sK1_Xp @ SV11 @ ( sK7_Eigen @ ( sK1_Xp @ SV11 ) ) ) )
= $true ),
inference(rename,[status(thm)],[39]) ).
thf(41,plain,
! [SV11: ( b > $o ) > b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( sK1_Xp @ SV11 @ SX0 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ ( sK7_Eigen @ ( sK1_Xp @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(42,plain,
! [SV11: ( b > $o ) > b] :
( ( ( ~ ! [SX0: b] :
~ ( sK1_Xp @ SV11 @ SX0 ) )
= $false )
| ( ( sK1_Xp @ SV11 @ ( sK7_Eigen @ ( sK1_Xp @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV11: ( b > $o ) > b] :
( ( ( ! [SX0: b] :
~ ( sK1_Xp @ SV11 @ SX0 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ ( sK7_Eigen @ ( sK1_Xp @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(44,plain,
! [SV12: b,SV11: ( b > $o ) > b] :
( ( ( ~ ( sK1_Xp @ SV11 @ SV12 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ ( sK7_Eigen @ ( sK1_Xp @ SV11 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(45,plain,
! [SV12: b,SV11: ( b > $o ) > b] :
( ( ( sK1_Xp @ SV11 @ SV12 )
= $false )
| ( ( sK1_Xp @ SV11 @ ( sK7_Eigen @ ( sK1_Xp @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV6: b,SV4: b,SV8: b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( SV1 @ SV8
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false
@ SV1
@ SV8 )
@ ( sK5_SY13 @ SV8
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false
@ SV1 ) )
= $true )
| ( $false = $true )
| ( ( SV1
@ ( sK6_Xx
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false
@ SV1 )
@ SV4
@ SV6 )
= $false ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV3,$thf( ^ [SV17: b > $o] : ^ [SV18: b] : ^ [SV19: b] : $false ))]]) ).
thf(48,plain,
! [SV6: b,SV4: b,SV16: ( b > $o ) > b > b > $o,SV8: b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( SV1 @ SV8
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1
@ SV8 )
@ ( sK5_SY13 @ SV8
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV16 @ SV8
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1
@ SV8 )
@ ( sK4_SY14 @ SV8
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK6_Xx
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 )
@ SV4
@ SV6 )
= $false ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV3,$thf( ^ [SV13: b > $o] : ^ [SV14: b] : ^ [SV15: b] : ~ ( SV16 @ SV13 @ SV14 @ SV15 ) ))]]) ).
thf(51,plain,
! [SV6: b,SV4: b,SV3: ( b > $o ) > b > b > $o,SV8: b > $o,SV26: ( b > $o ) > b > b > $o] :
( ( ( ~ ( SV26 @ SV8
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 )
@ SV8 )
@ ( sK5_SY13 @ SV8 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) ) ) )
= $true )
| ( ( SV3 @ SV8
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 )
@ SV8 )
@ ( sK4_SY14 @ SV8 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) ) )
= $true )
| ( ( ~ ( SV26
@ ( sK6_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) )
@ SV4
@ SV6 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV1,$thf( ^ [SV23: b > $o] : ^ [SV24: b] : ^ [SV25: b] : ~ ( SV26 @ SV23 @ SV24 @ SV25 ) ))]]) ).
thf(54,plain,
! [SV7: b,SV5: b,SV16: ( b > $o ) > b > b > $o,SV9: b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( SV1 @ SV9
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1
@ SV9 )
@ ( sK5_SY13 @ SV9
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV16 @ SV9
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1
@ SV9 )
@ ( sK4_SY14 @ SV9
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( SV16
@ ( sK6_Xx
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 )
@ SV5
@ SV7 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV3,$thf( ^ [SV13: b > $o] : ^ [SV14: b] : ^ [SV15: b] : ~ ( SV16 @ SV13 @ SV14 @ SV15 ) ))]]) ).
thf(56,plain,
! [SV7: b,SV5: b,SV9: b > $o,SV3: ( b > $o ) > b > b > $o] :
( ( $false = $true )
| ( ( SV3 @ SV9
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false
@ SV9 )
@ ( sK4_SY14 @ SV9 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false ) )
= $true )
| ( ( SV3
@ ( sK6_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false )
@ SV5
@ SV7 )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV1,$thf( ^ [SV27: b > $o] : ^ [SV28: b] : ^ [SV29: b] : $false ))]]) ).
thf(57,plain,
! [SV7: b,SV5: b,SV3: ( b > $o ) > b > b > $o,SV9: b > $o,SV26: ( b > $o ) > b > b > $o] :
( ( ( ~ ( SV26 @ SV9
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 )
@ SV9 )
@ ( sK5_SY13 @ SV9 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) ) ) )
= $true )
| ( ( SV3 @ SV9
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 )
@ SV9 )
@ ( sK4_SY14 @ SV9 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) ) )
= $true )
| ( ( SV3
@ ( sK6_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) )
@ SV5
@ SV7 )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV1,$thf( ^ [SV23: b > $o] : ^ [SV24: b] : ^ [SV25: b] : ~ ( SV26 @ SV23 @ SV24 @ SV25 ) ))]]) ).
thf(58,plain,
! [SV6: b,SV4: b,SV1: ( b > $o ) > b > b > $o,SV8: b > $o,SV16: ( b > $o ) > b > b > $o] :
( ( ( SV16 @ SV8
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1
@ SV8 )
@ ( sK4_SY14 @ SV8
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV8
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1
@ SV8 )
@ ( sK5_SY13 @ SV8
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK6_Xx
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 )
@ SV4
@ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(59,plain,
! [SV6: b,SV4: b,SV3: ( b > $o ) > b > b > $o,SV8: b > $o,SV26: ( b > $o ) > b > b > $o] :
( ( ( SV26 @ SV8
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 )
@ SV8 )
@ ( sK5_SY13 @ SV8 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) ) )
= $false )
| ( ( SV3 @ SV8
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 )
@ SV8 )
@ ( sK4_SY14 @ SV8 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) ) )
= $true )
| ( ( ~ ( SV26
@ ( sK6_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) )
@ SV4
@ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV7: b,SV5: b,SV1: ( b > $o ) > b > b > $o,SV9: b > $o,SV16: ( b > $o ) > b > b > $o] :
( ( ( SV16 @ SV9
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1
@ SV9 )
@ ( sK4_SY14 @ SV9
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 ) )
= $false )
| ( ( SV1 @ SV9
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1
@ SV9 )
@ ( sK5_SY13 @ SV9
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 ) )
= $true )
| ( ( ~ ( SV16
@ ( sK6_Xx
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 )
@ SV5
@ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV7: b,SV5: b,SV3: ( b > $o ) > b > b > $o,SV9: b > $o,SV26: ( b > $o ) > b > b > $o] :
( ( ( SV26 @ SV9
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 )
@ SV9 )
@ ( sK5_SY13 @ SV9 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) ) )
= $false )
| ( ( SV3 @ SV9
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 )
@ SV9 )
@ ( sK4_SY14 @ SV9 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) ) )
= $true )
| ( ( SV3
@ ( sK6_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) )
@ SV5
@ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV8: b > $o,SV6: b,SV4: b,SV3: ( b > $o ) > b > b > $o,SV26: ( b > $o ) > b > b > $o] :
( ( ( SV26
@ ( sK6_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) )
@ SV4
@ SV6 )
= $true )
| ( ( SV3 @ SV8
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 )
@ SV8 )
@ ( sK4_SY14 @ SV8 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) ) )
= $true )
| ( ( SV26 @ SV8
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 )
@ SV8 )
@ ( sK5_SY13 @ SV8 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV26 @ SX0 @ SX1 @ SX2 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(63,plain,
! [SV9: b > $o,SV7: b,SV5: b,SV1: ( b > $o ) > b > b > $o,SV16: ( b > $o ) > b > b > $o] :
( ( ( SV16
@ ( sK6_Xx
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 )
@ SV5
@ SV7 )
= $true )
| ( ( SV1 @ SV9
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1
@ SV9 )
@ ( sK5_SY13 @ SV9
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 ) )
= $true )
| ( ( SV16 @ SV9
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1
@ SV9 )
@ ( sK4_SY14 @ SV9
@ ^ [SX0: b > $o,SX1: b,SX2: b] :
~ ( SV16 @ SX0 @ SX1 @ SX2 )
@ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(64,plain,
! [SV6: b,SV4: b,SV8: b > $o,SV1: ( b > $o ) > b > b > $o] :
( ( ( SV1 @ SV8
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false
@ SV1
@ SV8 )
@ ( sK5_SY13 @ SV8
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK6_Xx
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false
@ SV1 )
@ SV4
@ SV6 )
= $false ) ),
inference(sim,[status(thm)],[47]) ).
thf(65,plain,
! [SV7: b,SV5: b,SV9: b > $o,SV3: ( b > $o ) > b > b > $o] :
( ( ( SV3 @ SV9
@ ( sK3_Xf @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false
@ SV9 )
@ ( sK4_SY14 @ SV9 @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false ) )
= $true )
| ( ( SV3
@ ( sK6_Xx @ SV3
@ ^ [SX0: b > $o,SX1: b,SX2: b] : $false )
@ SV5
@ SV7 )
= $false ) ),
inference(sim,[status(thm)],[56]) ).
thf(66,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,65,64,63,62,61,58,45,38,37,36,25]) ).
thf(67,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL736^5 : 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 : n010.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 : Mon Jul 4 12:31:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 0
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.35 (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)...
% 0.19/0.39
% 0.19/0.39 *** Modified list of choice operators: sK7_Eigen ***
% 0.19/0.40 .
% 0.19/0.55
% 0.19/0.55 ********************************
% 0.19/0.55 * All subproblems solved! *
% 0.19/0.55 ********************************
% 0.19/0.55 % 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:66,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.38/0.56
% 0.38/0.56 %**** Beginning of derivation protocol ****
% 0.38/0.56 % SZS output start CNFRefutation
% See solution above
% 0.38/0.56
% 0.38/0.56 %**** End of derivation protocol ****
% 0.38/0.56 %**** no. of clauses in derivation: 61 ****
% 0.38/0.56 %**** clause counter: 66 ****
% 0.38/0.56
% 0.38/0.56 % 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:66,loop_count:0,foatp_calls:2,translation:fof_full)
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