TSTP Solution File: SEV138^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV138^5 : 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 : n018.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 : Tue Jul 19 17:35:15 EDT 2022
% Result : Theorem 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 13
% Syntax : Number of formulae : 116 ( 37 unt; 12 typ; 0 def)
% Number of atoms : 656 ( 229 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 1695 ( 342 ~; 255 |; 73 &; 943 @)
% ( 0 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 114 ( 114 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 228 ( 0 ^ 228 !; 0 ?; 228 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY74,type,
sK10_SY74: ( a > $o ) > a ).
thf(tp_sK11_SY51,type,
sK11_SY51: ( a > $o ) > a ).
thf(tp_sK1_Xr,type,
sK1_Xr: a > a > $o ).
thf(tp_sK2_SY16,type,
sK2_SY16: a ).
thf(tp_sK3_SY31,type,
sK3_SY31: a ).
thf(tp_sK4_SY45,type,
sK4_SY45: a ).
thf(tp_sK5_SY66,type,
sK5_SY66: a > $o ).
thf(tp_sK6_SY21,type,
sK6_SY21: ( a > $o ) > a ).
thf(tp_sK7_SY73,type,
sK7_SY73: ( a > $o ) > a ).
thf(tp_sK8_SY34,type,
sK8_SY34: ( a > $o ) > a ).
thf(tp_sK9_SY25,type,
sK9_SY25: ( a > $o ) > a ).
thf(1,conjecture,
! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
( ( ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xx @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) )
& ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xy @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xz ) ) )
=> ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xx @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xz ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM150_pme) ).
thf(2,negated_conjecture,
( ( ! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
( ( ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xx @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) )
& ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xy @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xz ) ) )
=> ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xx @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xz ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
( ( ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xx @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) )
& ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xy @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xz ) ) )
=> ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xx @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xz ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY16: a,SY17: a,SY18: a] :
( ( ! [SY19: a > $o] :
( ( ! [SY20: a] :
( ( sK1_Xr @ SY16 @ SY20 )
=> ( SY19 @ SY20 ) )
& ! [SY21: a,SY22: a] :
( ( ( SY19 @ SY21 )
& ( sK1_Xr @ SY21 @ SY22 ) )
=> ( SY19 @ SY22 ) ) )
=> ( SY19 @ SY17 ) )
& ! [SY23: a > $o] :
( ( ! [SY24: a] :
( ( sK1_Xr @ SY17 @ SY24 )
=> ( SY23 @ SY24 ) )
& ! [SY25: a,SY26: a] :
( ( ( SY23 @ SY25 )
& ( sK1_Xr @ SY25 @ SY26 ) )
=> ( SY23 @ SY26 ) ) )
=> ( SY23 @ SY18 ) ) )
=> ! [SY27: a > $o] :
( ( ! [SY28: a] :
( ( sK1_Xr @ SY16 @ SY28 )
=> ( SY27 @ SY28 ) )
& ! [SY29: a,SY30: a] :
( ( ( SY27 @ SY29 )
& ( sK1_Xr @ SY29 @ SY30 ) )
=> ( SY27 @ SY30 ) ) )
=> ( SY27 @ SY18 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY31: a,SY32: a] :
( ( ! [SY33: a > $o] :
( ( ! [SY34: a] :
( ( sK1_Xr @ sK2_SY16 @ SY34 )
=> ( SY33 @ SY34 ) )
& ! [SY21: a,SY22: a] :
( ( ( SY33 @ SY21 )
& ( sK1_Xr @ SY21 @ SY22 ) )
=> ( SY33 @ SY22 ) ) )
=> ( SY33 @ SY31 ) )
& ! [SY23: a > $o] :
( ( ! [SY24: a] :
( ( sK1_Xr @ SY31 @ SY24 )
=> ( SY23 @ SY24 ) )
& ! [SY25: a,SY26: a] :
( ( ( SY23 @ SY25 )
& ( sK1_Xr @ SY25 @ SY26 ) )
=> ( SY23 @ SY26 ) ) )
=> ( SY23 @ SY32 ) ) )
=> ! [SY41: a > $o] :
( ( ! [SY42: a] :
( ( sK1_Xr @ sK2_SY16 @ SY42 )
=> ( SY41 @ SY42 ) )
& ! [SY29: a,SY30: a] :
( ( ( SY41 @ SY29 )
& ( sK1_Xr @ SY29 @ SY30 ) )
=> ( SY41 @ SY30 ) ) )
=> ( SY41 @ SY32 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY45: a] :
( ( ! [SY46: a > $o] :
( ( ! [SY34: a] :
( ( sK1_Xr @ sK2_SY16 @ SY34 )
=> ( SY46 @ SY34 ) )
& ! [SY21: a,SY22: a] :
( ( ( SY46 @ SY21 )
& ( sK1_Xr @ SY21 @ SY22 ) )
=> ( SY46 @ SY22 ) ) )
=> ( SY46 @ sK3_SY31 ) )
& ! [SY50: a > $o] :
( ( ! [SY51: a] :
( ( sK1_Xr @ sK3_SY31 @ SY51 )
=> ( SY50 @ SY51 ) )
& ! [SY25: a,SY26: a] :
( ( ( SY50 @ SY25 )
& ( sK1_Xr @ SY25 @ SY26 ) )
=> ( SY50 @ SY26 ) ) )
=> ( SY50 @ SY45 ) ) )
=> ! [SY41: a > $o] :
( ( ! [SY42: a] :
( ( sK1_Xr @ sK2_SY16 @ SY42 )
=> ( SY41 @ SY42 ) )
& ! [SY29: a,SY30: a] :
( ( ( SY41 @ SY29 )
& ( sK1_Xr @ SY29 @ SY30 ) )
=> ( SY41 @ SY30 ) ) )
=> ( SY41 @ SY45 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ( ! [SY46: a > $o] :
( ( ! [SY34: a] :
( ( sK1_Xr @ sK2_SY16 @ SY34 )
=> ( SY46 @ SY34 ) )
& ! [SY21: a,SY22: a] :
( ( ( SY46 @ SY21 )
& ( sK1_Xr @ SY21 @ SY22 ) )
=> ( SY46 @ SY22 ) ) )
=> ( SY46 @ sK3_SY31 ) )
& ! [SY62: a > $o] :
( ( ! [SY51: a] :
( ( sK1_Xr @ sK3_SY31 @ SY51 )
=> ( SY62 @ SY51 ) )
& ! [SY25: a,SY26: a] :
( ( ( SY62 @ SY25 )
& ( sK1_Xr @ SY25 @ SY26 ) )
=> ( SY62 @ SY26 ) ) )
=> ( SY62 @ sK4_SY45 ) ) )
=> ! [SY66: a > $o] :
( ( ! [SY42: a] :
( ( sK1_Xr @ sK2_SY16 @ SY42 )
=> ( SY66 @ SY42 ) )
& ! [SY29: a,SY30: a] :
( ( ( SY66 @ SY29 )
& ( sK1_Xr @ SY29 @ SY30 ) )
=> ( SY66 @ SY30 ) ) )
=> ( SY66 @ sK4_SY45 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY46: a > $o] :
( ( ! [SY34: a] :
( ( sK1_Xr @ sK2_SY16 @ SY34 )
=> ( SY46 @ SY34 ) )
& ! [SY21: a,SY22: a] :
( ( ( SY46 @ SY21 )
& ( sK1_Xr @ SY21 @ SY22 ) )
=> ( SY46 @ SY22 ) ) )
=> ( SY46 @ sK3_SY31 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY62: a > $o] :
( ( ! [SY51: a] :
( ( sK1_Xr @ sK3_SY31 @ SY51 )
=> ( SY62 @ SY51 ) )
& ! [SY25: a,SY26: a] :
( ( ( SY62 @ SY25 )
& ( sK1_Xr @ SY25 @ SY26 ) )
=> ( SY62 @ SY26 ) ) )
=> ( SY62 @ sK4_SY45 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(10,plain,
( ( ! [SY66: a > $o] :
( ( ! [SY42: a] :
( ( sK1_Xr @ sK2_SY16 @ SY42 )
=> ( SY66 @ SY42 ) )
& ! [SY29: a,SY30: a] :
( ( ( SY66 @ SY29 )
& ( sK1_Xr @ SY29 @ SY30 ) )
=> ( SY66 @ SY30 ) ) )
=> ( SY66 @ sK4_SY45 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ! [SY66: a > $o] :
( ( ! [SY42: a] :
( ( sK1_Xr @ sK2_SY16 @ SY42 )
=> ( SY66 @ SY42 ) )
& ! [SY29: a,SY30: a] :
( ( ( SY66 @ SY29 )
& ( sK1_Xr @ SY29 @ SY30 ) )
=> ( SY66 @ SY30 ) ) )
=> ( SY66 @ sK4_SY45 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [SY70: a] :
( ~ ( sK1_Xr @ sK2_SY16 @ SY70 )
| ( sK5_SY66 @ SY70 ) )
& ! [SY71: a,SY72: a] :
( ~ ( sK5_SY66 @ SY71 )
| ~ ( sK1_Xr @ SY71 @ SY72 )
| ( sK5_SY66 @ SY72 ) )
& ~ ( sK5_SY66 @ sK4_SY45 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(13,plain,
( ( ! [SY46: a > $o] :
( ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SY46 ) )
& ~ ( SY46 @ ( sK8_SY34 @ SY46 ) ) )
| ( ( SY46 @ ( sK6_SY21 @ SY46 ) )
& ( sK1_Xr @ ( sK6_SY21 @ SY46 ) @ ( sK7_SY73 @ SY46 ) )
& ~ ( SY46 @ ( sK7_SY73 @ SY46 ) ) )
| ( SY46 @ sK3_SY31 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(14,plain,
( ( ! [SY62: a > $o] :
( ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SY62 ) )
& ~ ( SY62 @ ( sK11_SY51 @ SY62 ) ) )
| ( ( SY62 @ ( sK9_SY25 @ SY62 ) )
& ( sK1_Xr @ ( sK9_SY25 @ SY62 ) @ ( sK10_SY74 @ SY62 ) )
& ~ ( SY62 @ ( sK10_SY74 @ SY62 ) ) )
| ( SY62 @ sK4_SY45 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(15,plain,
( ( ! [SY62: a > $o] :
( ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SY62 ) )
& ~ ( SY62 @ ( sK11_SY51 @ SY62 ) ) )
| ( ( SY62 @ ( sK9_SY25 @ SY62 ) )
& ( sK1_Xr @ ( sK9_SY25 @ SY62 ) @ ( sK10_SY74 @ SY62 ) )
& ~ ( SY62 @ ( sK10_SY74 @ SY62 ) ) )
| ( SY62 @ sK4_SY45 ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [SY46: a > $o] :
( ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SY46 ) )
& ~ ( SY46 @ ( sK8_SY34 @ SY46 ) ) )
| ( ( SY46 @ ( sK6_SY21 @ SY46 ) )
& ( sK1_Xr @ ( sK6_SY21 @ SY46 ) @ ( sK7_SY73 @ SY46 ) )
& ~ ( SY46 @ ( sK7_SY73 @ SY46 ) ) )
| ( SY46 @ sK3_SY31 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [SY70: a] :
( ~ ( sK1_Xr @ sK2_SY16 @ SY70 )
| ( sK5_SY66 @ SY70 ) )
& ! [SY71: a,SY72: a] :
( ~ ( sK5_SY66 @ SY71 )
| ~ ( sK1_Xr @ SY71 @ SY72 )
| ( sK5_SY66 @ SY72 ) )
& ~ ( sK5_SY66 @ sK4_SY45 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [SX0: a > $o] :
( ~ ( ~ ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK11_SY51 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( SX0 @ ( sK9_SY25 @ SX0 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SX0 ) @ ( sK10_SY74 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK10_SY74 @ SX0 ) ) )
| ( SX0 @ sK4_SY45 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(19,plain,
( ( ! [SX0: a > $o] :
( ~ ( ~ ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK8_SY34 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( SX0 @ ( sK6_SY21 @ SX0 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SX0 ) @ ( sK7_SY73 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK7_SY73 @ SX0 ) ) )
| ( SX0 @ sK3_SY31 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY16 @ SX0 )
| ( sK5_SY66 @ SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY66 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK5_SY66 @ SX1 ) ) )
| ~ ~ ( sK5_SY66 @ sK4_SY45 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: a > $o] :
( ( ~ ( ~ ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK11_SY51 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) )
| ( SV1 @ sK4_SY45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: a > $o] :
( ( ~ ( ~ ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
| ~ ~ ( SV2 @ ( sK8_SY34 @ SV2 ) ) )
| ~ ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) )
| ( SV2 @ sK3_SY31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY16 @ SX0 )
| ( sK5_SY66 @ SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY66 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK5_SY66 @ SX1 ) ) )
| ~ ~ ( sK5_SY66 @ sK4_SY45 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK11_SY51 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
| ~ ~ ( SV2 @ ( sK8_SY34 @ SV2 ) ) )
| ~ ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY16 @ SX0 )
| ( sK5_SY66 @ SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY66 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK5_SY66 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ~ ( sK5_SY66 @ sK4_SY45 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK11_SY51 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
| ~ ~ ( SV2 @ ( sK8_SY34 @ SV2 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY16 @ SX0 )
| ( sK5_SY66 @ SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY66 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK5_SY66 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ( sK5_SY66 @ sK4_SY45 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV1: a > $o] :
( ( ( ~ ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK11_SY51 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: a > $o] :
( ( ( ~ ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
| ~ ~ ( SV2 @ ( sK8_SY34 @ SV2 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY16 @ SX0 )
| ( sK5_SY66 @ SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY66 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK5_SY66 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(35,plain,
( ( sK5_SY66 @ sK4_SY45 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV1: a > $o] :
( ( ( ~ ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(37,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK11_SY51 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(38,plain,
! [SV2: a > $o] :
( ( ( ~ ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(39,plain,
! [SV2: a > $o] :
( ( ( ~ ~ ( SV2 @ ( sK8_SY34 @ SV2 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(40,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY16 @ SX0 )
| ( sK5_SY66 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(41,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK5_SY66 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK5_SY66 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(42,plain,
! [SV1: a > $o] :
( ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(43,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK11_SY51 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(44,plain,
! [SV2: a > $o] :
( ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(45,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK8_SY34 @ SV2 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(46,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY16 @ SX0 )
| ( sK5_SY66 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(47,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK5_SY66 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK5_SY66 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(48,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV2: a > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) )
= $false )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV3: a] :
( ( ~ ( sK1_Xr @ sK2_SY16 @ SV3 )
| ( sK5_SY66 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV4: a] :
( ( ! [SY75: a] :
( ~ ( sK5_SY66 @ SV4 )
| ~ ( sK1_Xr @ SV4 @ SY75 )
| ( sK5_SY66 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) ) )
= $false )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(56,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV2: a > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) ) )
= $false )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(58,plain,
! [SV2: a > $o] :
( ( ( ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) )
= $false )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(59,plain,
! [SV2: a > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV3: a] :
( ( ( ~ ( sK1_Xr @ sK2_SY16 @ SV3 ) )
= $true )
| ( ( sK5_SY66 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV5: a,SV4: a] :
( ( ~ ( sK5_SY66 @ SV4 )
| ~ ( sK1_Xr @ SV4 @ SV5 )
| ( sK5_SY66 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(62,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) ) )
= $true )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(63,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) )
= $true )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(64,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(65,plain,
! [SV1: a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(66,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) ) )
= $true )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(67,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) )
= $true )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(68,plain,
! [SV2: a > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) ) )
= $false )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(69,plain,
! [SV2: a > $o] :
( ( ( ~ ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(70,plain,
! [SV3: a] :
( ( ( sK1_Xr @ sK2_SY16 @ SV3 )
= $false )
| ( ( sK5_SY66 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV5: a,SV4: a] :
( ( ( ~ ( sK5_SY66 @ SV4 )
| ~ ( sK1_Xr @ SV4 @ SV5 ) )
= $true )
| ( ( sK5_SY66 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK10_SY74 @ SV1 ) )
= $false )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(74,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(75,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK10_SY74 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(76,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
= $false )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(77,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK7_SY73 @ SV2 ) )
= $false )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(78,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) ) )
= $true )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(79,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK7_SY73 @ SV2 ) ) )
= $true )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(80,plain,
! [SV5: a,SV4: a] :
( ( ( ~ ( sK5_SY66 @ SV4 ) )
= $true )
| ( ( ~ ( sK1_Xr @ SV4 @ SV5 ) )
= $true )
| ( ( sK5_SY66 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(81,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(82,plain,
! [SV1: a > $o] :
( ( ( ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
= $false )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(83,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) )
| ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(84,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK10_SY74 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(85,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) ) )
= $false )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(86,plain,
! [SV2: a > $o] :
( ( ( ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
= $false )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(87,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) )
| ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(88,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK7_SY73 @ SV2 ) )
= $false )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(89,plain,
! [SV5: a,SV4: a] :
( ( ( sK5_SY66 @ SV4 )
= $false )
| ( ( ~ ( sK1_Xr @ SV4 @ SV5 ) )
= $true )
| ( ( sK5_SY66 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(90,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(91,plain,
! [SV1: a > $o] :
( ( ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) )
= $true )
| ( ( sK1_Xr @ sK3_SY31 @ ( sK11_SY51 @ SV1 ) )
= $true )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(92,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK9_SY25 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(93,plain,
! [SV1: a > $o] :
( ( ( ~ ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(94,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK6_SY21 @ SV2 ) )
= $true )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(95,plain,
! [SV2: a > $o] :
( ( ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) )
= $true )
| ( ( sK1_Xr @ sK2_SY16 @ ( sK8_SY34 @ SV2 ) )
= $true )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(96,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK6_SY21 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(97,plain,
! [SV2: a > $o] :
( ( ( ~ ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) ) )
= $false )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(98,plain,
! [SV5: a,SV4: a] :
( ( ( sK1_Xr @ SV4 @ SV5 )
= $false )
| ( ( sK5_SY66 @ SV4 )
= $false )
| ( ( sK5_SY66 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(99,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(100,plain,
! [SV1: a > $o] :
( ( ( sK1_Xr @ ( sK9_SY25 @ SV1 ) @ ( sK10_SY74 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK11_SY51 @ SV1 ) )
= $false )
| ( ( SV1 @ sK4_SY45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(101,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK6_SY21 @ SV2 ) )
= $true )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(102,plain,
! [SV2: a > $o] :
( ( ( sK1_Xr @ ( sK6_SY21 @ SV2 ) @ ( sK7_SY73 @ SV2 ) )
= $true )
| ( ( SV2 @ ( sK8_SY34 @ SV2 ) )
= $false )
| ( ( SV2 @ sK3_SY31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(103,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[35,102,101,100,99,98,95,94,91,90,88,84,77,73,70]) ).
thf(104,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEV138^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n018.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 : Mon Jun 27 18:54:58 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
% 0.12/0.35 (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)....
% 0.18/0.42
% 0.18/0.42 ********************************
% 0.18/0.42 * All subproblems solved! *
% 0.18/0.42 ********************************
% 0.18/0.42 % 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:103,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.43
% 0.18/0.43 %**** Beginning of derivation protocol ****
% 0.18/0.43 % SZS output start CNFRefutation
% See solution above
% 0.18/0.43
% 0.18/0.43 %**** End of derivation protocol ****
% 0.18/0.43 %**** no. of clauses in derivation: 104 ****
% 0.18/0.43 %**** clause counter: 103 ****
% 0.18/0.43
% 0.18/0.43 % 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:103,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------