TSTP Solution File: MGT053+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n027.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 22:17:33 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 336 ( 220 unt; 10 typ; 0 def)
% Number of atoms : 2059 ( 568 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 3766 ( 773 ~; 756 |; 37 &;2178 @)
% ( 16 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 944 ( 0 ^ 944 !; 0 ?; 944 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dissimilar,type,
dissimilar: $i > $i > $i > $o ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_greater_or_equal,type,
greater_or_equal: $i > $i > $o ).
thf(tp_is_aligned,type,
is_aligned: $i > $i > $o ).
thf(tp_organization,type,
organization: $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY19,type,
sK2_SY19: $i ).
thf(tp_sK3_SY21,type,
sK3_SY21: $i ).
thf(tp_smaller,type,
smaller: $i > $i > $o ).
thf(tp_smaller_or_equal,type,
smaller_or_equal: $i > $i > $o ).
thf(1,axiom,
! [X: $i,T0: $i,T: $i] :
( ( dissimilar @ X @ T0 @ T )
<=> ( ( organization @ X )
& ~ ( ( is_aligned @ X @ T0 )
<=> ( is_aligned @ X @ T ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
thf(3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
thf(4,axiom,
! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( greater @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
<=> ( greater @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( smaller_or_equal @ X @ Y )
<=> ( ( smaller @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
thf(8,conjecture,
! [X: $i,T1: $i,T2: $i] :
( ( dissimilar @ X @ T1 @ T2 )
<=> ( dissimilar @ X @ T2 @ T1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7) ).
thf(9,negated_conjecture,
( ( ! [X: $i,T1: $i,T2: $i] :
( ( dissimilar @ X @ T1 @ T2 )
<=> ( dissimilar @ X @ T2 @ T1 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( ! [X: $i,T1: $i,T2: $i] :
( ( dissimilar @ X @ T1 @ T2 )
<=> ( dissimilar @ X @ T2 @ T1 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [X: $i,T0: $i,T: $i] :
( ( dissimilar @ X @ T0 @ T )
<=> ( ( organization @ X )
& ~ ( ( is_aligned @ X @ T0 )
<=> ( is_aligned @ X @ T ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(12,plain,
( ( ! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(13,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( greater @ X @ Y )
& ( greater @ Y @ Z ) )
=> ( greater @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(14,plain,
( ( ! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( greater @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(15,plain,
( ( ! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
<=> ( greater @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i] :
( ( smaller_or_equal @ X @ Y )
<=> ( ( smaller @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(18,plain,
( ( ! [SY19: $i,SY20: $i] :
( ( dissimilar @ sK1_X @ SY19 @ SY20 )
<=> ( dissimilar @ sK1_X @ SY20 @ SY19 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(19,plain,
( ( ! [SY21: $i] :
( ( dissimilar @ sK1_X @ sK2_SY19 @ SY21 )
<=> ( dissimilar @ sK1_X @ SY21 @ sK2_SY19 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(20,plain,
( ( ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 )
<=> ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[19]) ).
thf(21,plain,
( ( ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 )
=> ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(22,plain,
( ( ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 )
=> ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(23,plain,
( ( ~ ( ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 )
=> ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ( ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 )
=> ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(25,plain,
( ( ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 )
& ~ ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(26,plain,
( ( ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 )
& ~ ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(27,plain,
( ( ! [X: $i] :
( ! [T0: $i,T: $i] :
( ~ ( organization @ X )
| ~ ( is_aligned @ X @ T0 )
| ( is_aligned @ X @ T )
| ( dissimilar @ X @ T0 @ T ) )
& ! [T0: $i,T: $i] :
( ~ ( organization @ X )
| ~ ( is_aligned @ X @ T )
| ( is_aligned @ X @ T0 )
| ( dissimilar @ X @ T0 @ T ) )
& ( ! [T0: $i,T: $i] :
~ ( dissimilar @ X @ T0 @ T )
| ( organization @ X ) )
& ! [T0: $i,T: $i] :
( ~ ( dissimilar @ X @ T0 @ T )
| ~ ( is_aligned @ X @ T0 )
| ~ ( is_aligned @ X @ T ) )
& ! [T0: $i,T: $i] :
( ~ ( dissimilar @ X @ T0 @ T )
| ( is_aligned @ X @ T0 )
| ( is_aligned @ X @ T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i] :
( ( greater @ X @ Y )
| ( X = Y )
| ( smaller @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ Z )
| ( greater @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(31,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater @ Y @ X )
| ( smaller @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( smaller @ X @ Y )
| ( greater @ Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater_or_equal @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( greater_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ( greater_or_equal @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( smaller_or_equal @ X @ Y )
| ( X = Y )
| ( smaller @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( smaller_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( smaller @ X @ Y )
| ( smaller_or_equal @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(34,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( smaller_or_equal @ X @ Y )
| ( X = Y )
| ( smaller @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( smaller_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( smaller @ X @ Y )
| ( smaller_or_equal @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(35,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater_or_equal @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( greater_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ( greater_or_equal @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(36,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater @ Y @ X )
| ( smaller @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( smaller @ X @ Y )
| ( greater @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(37,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(38,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ Z )
| ( greater @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(39,plain,
( ( ! [X: $i,Y: $i] :
( ( greater @ X @ Y )
| ( X = Y )
| ( smaller @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(40,plain,
( ( ! [X: $i] :
( ! [T0: $i,T: $i] :
( ~ ( organization @ X )
| ~ ( is_aligned @ X @ T0 )
| ( is_aligned @ X @ T )
| ( dissimilar @ X @ T0 @ T ) )
& ! [T0: $i,T: $i] :
( ~ ( organization @ X )
| ~ ( is_aligned @ X @ T )
| ( is_aligned @ X @ T0 )
| ( dissimilar @ X @ T0 @ T ) )
& ( ! [T0: $i,T: $i] :
~ ( dissimilar @ X @ T0 @ T )
| ( organization @ X ) )
& ! [T0: $i,T: $i] :
( ~ ( dissimilar @ X @ T0 @ T )
| ~ ( is_aligned @ X @ T0 )
| ~ ( is_aligned @ X @ T ) )
& ! [T0: $i,T: $i] :
( ~ ( dissimilar @ X @ T0 @ T )
| ( is_aligned @ X @ T0 )
| ( is_aligned @ X @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(41,plain,
( ( ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 )
& ~ ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(42,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(43,plain,
( ( ~ ( ~ ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 )
| ~ ~ ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(44,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( smaller @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( greater @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(45,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( smaller @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(46,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( organization @ SX0 )
| ~ ( is_aligned @ SX0 @ SX1 )
| ( is_aligned @ SX0 @ SX2 )
| ( dissimilar @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( organization @ SX0 )
| ~ ( is_aligned @ SX0 @ SX2 )
| ( is_aligned @ SX0 @ SX1 )
| ( dissimilar @ SX0 @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i,SX2: $i] :
~ ( dissimilar @ SX0 @ SX1 @ SX2 )
| ( organization @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( dissimilar @ SX0 @ SX1 @ SX2 )
| ~ ( is_aligned @ SX0 @ SX1 )
| ~ ( is_aligned @ SX0 @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( dissimilar @ SX0 @ SX1 @ SX2 )
| ( is_aligned @ SX0 @ SX1 )
| ( is_aligned @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(47,plain,
! [SV1: $i] :
( ( ! [SY22: $i] :
( ~ ( greater @ SV1 @ SY22 )
| ~ ( greater @ SY22 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(48,plain,
! [SV2: $i] :
( ( ! [SY23: $i,SY24: $i] :
( ~ ( greater @ SV2 @ SY23 )
| ~ ( greater @ SY23 @ SY24 )
| ( greater @ SV2 @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(49,plain,
! [SV3: $i] :
( ( ! [SY25: $i] :
( ( greater @ SV3 @ SY25 )
| ( SV3 = SY25 )
| ( smaller @ SV3 @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(50,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(51,plain,
( ( ~ ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 )
| ~ ~ ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(52,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( smaller @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( greater @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(53,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( smaller @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV4: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY26: $i,SY27: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY26 )
| ( is_aligned @ SV4 @ SY27 )
| ( dissimilar @ SV4 @ SY26 @ SY27 ) )
| ~ ! [SY28: $i,SY29: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY29 )
| ( is_aligned @ SV4 @ SY28 )
| ( dissimilar @ SV4 @ SY28 @ SY29 ) ) )
| ~ ~ ( ~ ( ! [SY30: $i,SY31: $i] :
~ ( dissimilar @ SV4 @ SY30 @ SY31 )
| ( organization @ SV4 ) )
| ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ~ ( dissimilar @ SV4 @ SY32 @ SY33 )
| ~ ( is_aligned @ SV4 @ SY32 )
| ~ ( is_aligned @ SV4 @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ~ ( dissimilar @ SV4 @ SY34 @ SY35 )
| ( is_aligned @ SV4 @ SY34 )
| ( is_aligned @ SV4 @ SY35 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(55,plain,
! [SV5: $i,SV1: $i] :
( ( ~ ( greater @ SV1 @ SV5 )
| ~ ( greater @ SV5 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV6: $i,SV2: $i] :
( ( ! [SY36: $i] :
( ~ ( greater @ SV2 @ SV6 )
| ~ ( greater @ SV6 @ SY36 )
| ( greater @ SV2 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV7: $i,SV3: $i] :
( ( ( greater @ SV3 @ SV7 )
| ( SV3 = SV7 )
| ( smaller @ SV3 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(58,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(59,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(60,plain,
( ( ~ ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(61,plain,
( ( ~ ~ ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(62,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( smaller @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(63,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( greater @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(64,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( smaller @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(65,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(66,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ! [SY26: $i,SY27: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY26 )
| ( is_aligned @ SV4 @ SY27 )
| ( dissimilar @ SV4 @ SY26 @ SY27 ) )
| ~ ! [SY28: $i,SY29: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY29 )
| ( is_aligned @ SV4 @ SY28 )
| ( dissimilar @ SV4 @ SY28 @ SY29 ) ) )
| ~ ~ ( ~ ( ! [SY30: $i,SY31: $i] :
~ ( dissimilar @ SV4 @ SY30 @ SY31 )
| ( organization @ SV4 ) )
| ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ~ ( dissimilar @ SV4 @ SY32 @ SY33 )
| ~ ( is_aligned @ SV4 @ SY32 )
| ~ ( is_aligned @ SV4 @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ~ ( dissimilar @ SV4 @ SY34 @ SY35 )
| ( is_aligned @ SV4 @ SY34 )
| ( is_aligned @ SV4 @ SY35 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(67,plain,
! [SV5: $i,SV1: $i] :
( ( ( ~ ( greater @ SV1 @ SV5 ) )
= $true )
| ( ( ~ ( greater @ SV5 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(68,plain,
! [SV8: $i,SV6: $i,SV2: $i] :
( ( ~ ( greater @ SV2 @ SV6 )
| ~ ( greater @ SV6 @ SV8 )
| ( greater @ SV2 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(69,plain,
! [SV7: $i,SV3: $i] :
( ( ( greater @ SV3 @ SV7 )
= $true )
| ( ( ( SV3 = SV7 )
| ( smaller @ SV3 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(70,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(71,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(72,plain,
( ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(73,plain,
( ( ~ ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(74,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( smaller @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( greater @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( smaller_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( smaller @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(77,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(78,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ! [SY26: $i,SY27: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY26 )
| ( is_aligned @ SV4 @ SY27 )
| ( dissimilar @ SV4 @ SY26 @ SY27 ) )
| ~ ! [SY28: $i,SY29: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY29 )
| ( is_aligned @ SV4 @ SY28 )
| ( dissimilar @ SV4 @ SY28 @ SY29 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(79,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ( ! [SY30: $i,SY31: $i] :
~ ( dissimilar @ SV4 @ SY30 @ SY31 )
| ( organization @ SV4 ) )
| ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ~ ( dissimilar @ SV4 @ SY32 @ SY33 )
| ~ ( is_aligned @ SV4 @ SY32 )
| ~ ( is_aligned @ SV4 @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ~ ( dissimilar @ SV4 @ SY34 @ SY35 )
| ( is_aligned @ SV4 @ SY34 )
| ( is_aligned @ SV4 @ SY35 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(80,plain,
! [SV5: $i,SV1: $i] :
( ( ( greater @ SV1 @ SV5 )
= $false )
| ( ( ~ ( greater @ SV5 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(81,plain,
! [SV8: $i,SV6: $i,SV2: $i] :
( ( ( ~ ( greater @ SV2 @ SV6 )
| ~ ( greater @ SV6 @ SV8 ) )
= $true )
| ( ( greater @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(82,plain,
! [SV7: $i,SV3: $i] :
( ( ( SV3 = SV7 )
= $true )
| ( ( smaller @ SV3 @ SV7 )
= $true )
| ( ( greater @ SV3 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(83,plain,
! [SV9: $i] :
( ( ! [SY37: $i] :
( ~ ( greater_or_equal @ SV9 @ SY37 )
| ( SV9 = SY37 )
| ( greater @ SV9 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(84,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(85,plain,
( ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(86,plain,
! [SV10: $i] :
( ( ! [SY38: $i] :
( ~ ( greater @ SY38 @ SV10 )
| ( smaller @ SV10 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV11: $i] :
( ( ! [SY39: $i] :
( ~ ( smaller @ SV11 @ SY39 )
| ( greater @ SY39 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(88,plain,
! [SV12: $i] :
( ( ! [SY40: $i] :
( ~ ( smaller_or_equal @ SV12 @ SY40 )
| ( SV12 = SY40 )
| ( smaller @ SV12 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(89,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV4: $i] :
( ( ~ ( ~ ! [SY26: $i,SY27: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY26 )
| ( is_aligned @ SV4 @ SY27 )
| ( dissimilar @ SV4 @ SY26 @ SY27 ) )
| ~ ! [SY28: $i,SY29: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY29 )
| ( is_aligned @ SV4 @ SY28 )
| ( dissimilar @ SV4 @ SY28 @ SY29 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(91,plain,
! [SV4: $i] :
( ( ~ ( ~ ( ! [SY30: $i,SY31: $i] :
~ ( dissimilar @ SV4 @ SY30 @ SY31 )
| ( organization @ SV4 ) )
| ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ~ ( dissimilar @ SV4 @ SY32 @ SY33 )
| ~ ( is_aligned @ SV4 @ SY32 )
| ~ ( is_aligned @ SV4 @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ~ ( dissimilar @ SV4 @ SY34 @ SY35 )
| ( is_aligned @ SV4 @ SY34 )
| ( is_aligned @ SV4 @ SY35 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(92,plain,
! [SV1: $i,SV5: $i] :
( ( ( greater @ SV5 @ SV1 )
= $false )
| ( ( greater @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV8: $i,SV6: $i,SV2: $i] :
( ( ( ~ ( greater @ SV2 @ SV6 ) )
= $true )
| ( ( ~ ( greater @ SV6 @ SV8 ) )
= $true )
| ( ( greater @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV13: $i,SV9: $i] :
( ( ~ ( greater_or_equal @ SV9 @ SV13 )
| ( SV9 = SV13 )
| ( greater @ SV9 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(95,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(96,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(97,plain,
! [SV10: $i,SV14: $i] :
( ( ~ ( greater @ SV14 @ SV10 )
| ( smaller @ SV10 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(98,plain,
! [SV15: $i,SV11: $i] :
( ( ~ ( smaller @ SV11 @ SV15 )
| ( greater @ SV15 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(99,plain,
! [SV16: $i,SV12: $i] :
( ( ~ ( smaller_or_equal @ SV12 @ SV16 )
| ( SV12 = SV16 )
| ( smaller @ SV12 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(100,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(101,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(102,plain,
! [SV4: $i] :
( ( ~ ! [SY26: $i,SY27: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY26 )
| ( is_aligned @ SV4 @ SY27 )
| ( dissimilar @ SV4 @ SY26 @ SY27 ) )
| ~ ! [SY28: $i,SY29: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY29 )
| ( is_aligned @ SV4 @ SY28 )
| ( dissimilar @ SV4 @ SY28 @ SY29 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(103,plain,
! [SV4: $i] :
( ( ~ ( ! [SY30: $i,SY31: $i] :
~ ( dissimilar @ SV4 @ SY30 @ SY31 )
| ( organization @ SV4 ) )
| ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ~ ( dissimilar @ SV4 @ SY32 @ SY33 )
| ~ ( is_aligned @ SV4 @ SY32 )
| ~ ( is_aligned @ SV4 @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ~ ( dissimilar @ SV4 @ SY34 @ SY35 )
| ( is_aligned @ SV4 @ SY34 )
| ( is_aligned @ SV4 @ SY35 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(104,plain,
! [SV8: $i,SV6: $i,SV2: $i] :
( ( ( greater @ SV2 @ SV6 )
= $false )
| ( ( ~ ( greater @ SV6 @ SV8 ) )
= $true )
| ( ( greater @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV13: $i,SV9: $i] :
( ( ( ~ ( greater_or_equal @ SV9 @ SV13 ) )
= $true )
| ( ( ( SV9 = SV13 )
| ( greater @ SV9 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(106,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(107,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(108,plain,
! [SV10: $i,SV14: $i] :
( ( ( ~ ( greater @ SV14 @ SV10 ) )
= $true )
| ( ( smaller @ SV10 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(109,plain,
! [SV15: $i,SV11: $i] :
( ( ( ~ ( smaller @ SV11 @ SV15 ) )
= $true )
| ( ( greater @ SV15 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(110,plain,
! [SV16: $i,SV12: $i] :
( ( ( ~ ( smaller_or_equal @ SV12 @ SV16 ) )
= $true )
| ( ( ( SV12 = SV16 )
| ( smaller @ SV12 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(111,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(112,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(113,plain,
! [SV4: $i] :
( ( ~ ! [SY26: $i,SY27: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY26 )
| ( is_aligned @ SV4 @ SY27 )
| ( dissimilar @ SV4 @ SY26 @ SY27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(114,plain,
! [SV4: $i] :
( ( ~ ! [SY28: $i,SY29: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY29 )
| ( is_aligned @ SV4 @ SY28 )
| ( dissimilar @ SV4 @ SY28 @ SY29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(115,plain,
! [SV4: $i] :
( ( ~ ( ! [SY30: $i,SY31: $i] :
~ ( dissimilar @ SV4 @ SY30 @ SY31 )
| ( organization @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(116,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ! [SY32: $i,SY33: $i] :
( ~ ( dissimilar @ SV4 @ SY32 @ SY33 )
| ~ ( is_aligned @ SV4 @ SY32 )
| ~ ( is_aligned @ SV4 @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ~ ( dissimilar @ SV4 @ SY34 @ SY35 )
| ( is_aligned @ SV4 @ SY34 )
| ( is_aligned @ SV4 @ SY35 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(117,plain,
! [SV2: $i,SV8: $i,SV6: $i] :
( ( ( greater @ SV6 @ SV8 )
= $false )
| ( ( greater @ SV2 @ SV6 )
= $false )
| ( ( greater @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV13: $i,SV9: $i] :
( ( ( greater_or_equal @ SV9 @ SV13 )
= $false )
| ( ( ( SV9 = SV13 )
| ( greater @ SV9 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(119,plain,
! [SV17: $i] :
( ( ! [SY41: $i] :
( ( SV17 != SY41 )
| ( greater_or_equal @ SV17 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(120,plain,
! [SV18: $i] :
( ( ! [SY42: $i] :
( ~ ( greater @ SV18 @ SY42 )
| ( greater_or_equal @ SV18 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(121,plain,
! [SV10: $i,SV14: $i] :
( ( ( greater @ SV14 @ SV10 )
= $false )
| ( ( smaller @ SV10 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(122,plain,
! [SV15: $i,SV11: $i] :
( ( ( smaller @ SV11 @ SV15 )
= $false )
| ( ( greater @ SV15 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(123,plain,
! [SV16: $i,SV12: $i] :
( ( ( smaller_or_equal @ SV12 @ SV16 )
= $false )
| ( ( ( SV12 = SV16 )
| ( smaller @ SV12 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV19: $i] :
( ( ! [SY43: $i] :
( ( SV19 != SY43 )
| ( smaller_or_equal @ SV19 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV20: $i] :
( ( ! [SY44: $i] :
( ~ ( smaller @ SV20 @ SY44 )
| ( smaller_or_equal @ SV20 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(126,plain,
! [SV4: $i] :
( ( ! [SY26: $i,SY27: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY26 )
| ( is_aligned @ SV4 @ SY27 )
| ( dissimilar @ SV4 @ SY26 @ SY27 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(127,plain,
! [SV4: $i] :
( ( ! [SY28: $i,SY29: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY29 )
| ( is_aligned @ SV4 @ SY28 )
| ( dissimilar @ SV4 @ SY28 @ SY29 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(128,plain,
! [SV4: $i] :
( ( ! [SY30: $i,SY31: $i] :
~ ( dissimilar @ SV4 @ SY30 @ SY31 )
| ( organization @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(129,plain,
! [SV4: $i] :
( ( ~ ( ~ ! [SY32: $i,SY33: $i] :
( ~ ( dissimilar @ SV4 @ SY32 @ SY33 )
| ~ ( is_aligned @ SV4 @ SY32 )
| ~ ( is_aligned @ SV4 @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ~ ( dissimilar @ SV4 @ SY34 @ SY35 )
| ( is_aligned @ SV4 @ SY34 )
| ( is_aligned @ SV4 @ SY35 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(130,plain,
! [SV13: $i,SV9: $i] :
( ( ( SV9 = SV13 )
= $true )
| ( ( greater @ SV9 @ SV13 )
= $true )
| ( ( greater_or_equal @ SV9 @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(131,plain,
! [SV21: $i,SV17: $i] :
( ( ( SV17 != SV21 )
| ( greater_or_equal @ SV17 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(132,plain,
! [SV22: $i,SV18: $i] :
( ( ~ ( greater @ SV18 @ SV22 )
| ( greater_or_equal @ SV18 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(133,plain,
! [SV16: $i,SV12: $i] :
( ( ( SV12 = SV16 )
= $true )
| ( ( smaller @ SV12 @ SV16 )
= $true )
| ( ( smaller_or_equal @ SV12 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(134,plain,
! [SV23: $i,SV19: $i] :
( ( ( SV19 != SV23 )
| ( smaller_or_equal @ SV19 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(135,plain,
! [SV24: $i,SV20: $i] :
( ( ~ ( smaller @ SV20 @ SV24 )
| ( smaller_or_equal @ SV20 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(136,plain,
! [SV25: $i,SV4: $i] :
( ( ! [SY45: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SV25 )
| ( is_aligned @ SV4 @ SY45 )
| ( dissimilar @ SV4 @ SV25 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(137,plain,
! [SV26: $i,SV4: $i] :
( ( ! [SY46: $i] :
( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SY46 )
| ( is_aligned @ SV4 @ SV26 )
| ( dissimilar @ SV4 @ SV26 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(138,plain,
! [SV4: $i] :
( ( ( ! [SY30: $i,SY31: $i] :
~ ( dissimilar @ SV4 @ SY30 @ SY31 ) )
= $true )
| ( ( organization @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(139,plain,
! [SV4: $i] :
( ( ~ ! [SY32: $i,SY33: $i] :
( ~ ( dissimilar @ SV4 @ SY32 @ SY33 )
| ~ ( is_aligned @ SV4 @ SY32 )
| ~ ( is_aligned @ SV4 @ SY33 ) )
| ~ ! [SY34: $i,SY35: $i] :
( ~ ( dissimilar @ SV4 @ SY34 @ SY35 )
| ( is_aligned @ SV4 @ SY34 )
| ( is_aligned @ SV4 @ SY35 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(140,plain,
! [SV21: $i,SV17: $i] :
( ( ( ( SV17 != SV21 ) )
= $true )
| ( ( greater_or_equal @ SV17 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(141,plain,
! [SV22: $i,SV18: $i] :
( ( ( ~ ( greater @ SV18 @ SV22 ) )
= $true )
| ( ( greater_or_equal @ SV18 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(142,plain,
! [SV23: $i,SV19: $i] :
( ( ( ( SV19 != SV23 ) )
= $true )
| ( ( smaller_or_equal @ SV19 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(143,plain,
! [SV24: $i,SV20: $i] :
( ( ( ~ ( smaller @ SV20 @ SV24 ) )
= $true )
| ( ( smaller_or_equal @ SV20 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(144,plain,
! [SV27: $i,SV25: $i,SV4: $i] :
( ( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SV25 )
| ( is_aligned @ SV4 @ SV27 )
| ( dissimilar @ SV4 @ SV25 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(145,plain,
! [SV26: $i,SV28: $i,SV4: $i] :
( ( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SV28 )
| ( is_aligned @ SV4 @ SV26 )
| ( dissimilar @ SV4 @ SV26 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(146,plain,
! [SV29: $i,SV4: $i] :
( ( ( ! [SY47: $i] :
~ ( dissimilar @ SV4 @ SV29 @ SY47 ) )
= $true )
| ( ( organization @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(147,plain,
! [SV4: $i] :
( ( ~ ! [SY32: $i,SY33: $i] :
( ~ ( dissimilar @ SV4 @ SY32 @ SY33 )
| ~ ( is_aligned @ SV4 @ SY32 )
| ~ ( is_aligned @ SV4 @ SY33 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(148,plain,
! [SV4: $i] :
( ( ~ ! [SY34: $i,SY35: $i] :
( ~ ( dissimilar @ SV4 @ SY34 @ SY35 )
| ( is_aligned @ SV4 @ SY34 )
| ( is_aligned @ SV4 @ SY35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(149,plain,
! [SV21: $i,SV17: $i] :
( ( ( SV17 = SV21 )
= $false )
| ( ( greater_or_equal @ SV17 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(150,plain,
! [SV22: $i,SV18: $i] :
( ( ( greater @ SV18 @ SV22 )
= $false )
| ( ( greater_or_equal @ SV18 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(151,plain,
! [SV23: $i,SV19: $i] :
( ( ( SV19 = SV23 )
= $false )
| ( ( smaller_or_equal @ SV19 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(152,plain,
! [SV24: $i,SV20: $i] :
( ( ( smaller @ SV20 @ SV24 )
= $false )
| ( ( smaller_or_equal @ SV20 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(153,plain,
! [SV27: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SV25 )
| ( is_aligned @ SV4 @ SV27 ) )
= $true )
| ( ( dissimilar @ SV4 @ SV25 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(154,plain,
! [SV26: $i,SV28: $i,SV4: $i] :
( ( ( ~ ( organization @ SV4 )
| ~ ( is_aligned @ SV4 @ SV28 )
| ( is_aligned @ SV4 @ SV26 ) )
= $true )
| ( ( dissimilar @ SV4 @ SV26 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(155,plain,
! [SV30: $i,SV29: $i,SV4: $i] :
( ( ( ~ ( dissimilar @ SV4 @ SV29 @ SV30 ) )
= $true )
| ( ( organization @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(156,plain,
! [SV4: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ~ ( dissimilar @ SV4 @ SY32 @ SY33 )
| ~ ( is_aligned @ SV4 @ SY32 )
| ~ ( is_aligned @ SV4 @ SY33 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(157,plain,
! [SV4: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ~ ( dissimilar @ SV4 @ SY34 @ SY35 )
| ( is_aligned @ SV4 @ SY34 )
| ( is_aligned @ SV4 @ SY35 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(158,plain,
! [SV27: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( organization @ SV4 ) )
= $true )
| ( ( ~ ( is_aligned @ SV4 @ SV25 )
| ( is_aligned @ SV4 @ SV27 ) )
= $true )
| ( ( dissimilar @ SV4 @ SV25 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(159,plain,
! [SV26: $i,SV28: $i,SV4: $i] :
( ( ( ~ ( organization @ SV4 ) )
= $true )
| ( ( ~ ( is_aligned @ SV4 @ SV28 )
| ( is_aligned @ SV4 @ SV26 ) )
= $true )
| ( ( dissimilar @ SV4 @ SV26 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(160,plain,
! [SV30: $i,SV29: $i,SV4: $i] :
( ( ( dissimilar @ SV4 @ SV29 @ SV30 )
= $false )
| ( ( organization @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(161,plain,
! [SV31: $i,SV4: $i] :
( ( ! [SY48: $i] :
( ~ ( dissimilar @ SV4 @ SV31 @ SY48 )
| ~ ( is_aligned @ SV4 @ SV31 )
| ~ ( is_aligned @ SV4 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(162,plain,
! [SV32: $i,SV4: $i] :
( ( ! [SY49: $i] :
( ~ ( dissimilar @ SV4 @ SV32 @ SY49 )
| ( is_aligned @ SV4 @ SV32 )
| ( is_aligned @ SV4 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(163,plain,
! [SV27: $i,SV25: $i,SV4: $i] :
( ( ( organization @ SV4 )
= $false )
| ( ( ~ ( is_aligned @ SV4 @ SV25 )
| ( is_aligned @ SV4 @ SV27 ) )
= $true )
| ( ( dissimilar @ SV4 @ SV25 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(164,plain,
! [SV26: $i,SV28: $i,SV4: $i] :
( ( ( organization @ SV4 )
= $false )
| ( ( ~ ( is_aligned @ SV4 @ SV28 )
| ( is_aligned @ SV4 @ SV26 ) )
= $true )
| ( ( dissimilar @ SV4 @ SV26 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(165,plain,
! [SV33: $i,SV31: $i,SV4: $i] :
( ( ~ ( dissimilar @ SV4 @ SV31 @ SV33 )
| ~ ( is_aligned @ SV4 @ SV31 )
| ~ ( is_aligned @ SV4 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(166,plain,
! [SV34: $i,SV32: $i,SV4: $i] :
( ( ~ ( dissimilar @ SV4 @ SV32 @ SV34 )
| ( is_aligned @ SV4 @ SV32 )
| ( is_aligned @ SV4 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(167,plain,
! [SV27: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( is_aligned @ SV4 @ SV25 ) )
= $true )
| ( ( is_aligned @ SV4 @ SV27 )
= $true )
| ( ( organization @ SV4 )
= $false )
| ( ( dissimilar @ SV4 @ SV25 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(168,plain,
! [SV26: $i,SV28: $i,SV4: $i] :
( ( ( ~ ( is_aligned @ SV4 @ SV28 ) )
= $true )
| ( ( is_aligned @ SV4 @ SV26 )
= $true )
| ( ( organization @ SV4 )
= $false )
| ( ( dissimilar @ SV4 @ SV26 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(169,plain,
! [SV33: $i,SV31: $i,SV4: $i] :
( ( ( ~ ( dissimilar @ SV4 @ SV31 @ SV33 ) )
= $true )
| ( ( ~ ( is_aligned @ SV4 @ SV31 )
| ~ ( is_aligned @ SV4 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(170,plain,
! [SV34: $i,SV32: $i,SV4: $i] :
( ( ( ~ ( dissimilar @ SV4 @ SV32 @ SV34 ) )
= $true )
| ( ( ( is_aligned @ SV4 @ SV32 )
| ( is_aligned @ SV4 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(171,plain,
! [SV27: $i,SV25: $i,SV4: $i] :
( ( ( is_aligned @ SV4 @ SV25 )
= $false )
| ( ( is_aligned @ SV4 @ SV27 )
= $true )
| ( ( organization @ SV4 )
= $false )
| ( ( dissimilar @ SV4 @ SV25 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(172,plain,
! [SV26: $i,SV28: $i,SV4: $i] :
( ( ( is_aligned @ SV4 @ SV28 )
= $false )
| ( ( is_aligned @ SV4 @ SV26 )
= $true )
| ( ( organization @ SV4 )
= $false )
| ( ( dissimilar @ SV4 @ SV26 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(173,plain,
! [SV33: $i,SV31: $i,SV4: $i] :
( ( ( dissimilar @ SV4 @ SV31 @ SV33 )
= $false )
| ( ( ~ ( is_aligned @ SV4 @ SV31 )
| ~ ( is_aligned @ SV4 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(174,plain,
! [SV34: $i,SV32: $i,SV4: $i] :
( ( ( dissimilar @ SV4 @ SV32 @ SV34 )
= $false )
| ( ( ( is_aligned @ SV4 @ SV32 )
| ( is_aligned @ SV4 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(175,plain,
! [SV33: $i,SV31: $i,SV4: $i] :
( ( ( ~ ( is_aligned @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( is_aligned @ SV4 @ SV33 ) )
= $true )
| ( ( dissimilar @ SV4 @ SV31 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(176,plain,
! [SV34: $i,SV32: $i,SV4: $i] :
( ( ( is_aligned @ SV4 @ SV32 )
= $true )
| ( ( is_aligned @ SV4 @ SV34 )
= $true )
| ( ( dissimilar @ SV4 @ SV32 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(177,plain,
! [SV33: $i,SV31: $i,SV4: $i] :
( ( ( is_aligned @ SV4 @ SV31 )
= $false )
| ( ( ~ ( is_aligned @ SV4 @ SV33 ) )
= $true )
| ( ( dissimilar @ SV4 @ SV31 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(178,plain,
! [SV31: $i,SV33: $i,SV4: $i] :
( ( ( is_aligned @ SV4 @ SV33 )
= $false )
| ( ( is_aligned @ SV4 @ SV31 )
= $false )
| ( ( dissimilar @ SV4 @ SV31 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(179,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[72,178,176,172,171,160,152,151,150,149,133,130,122,121,117,92,85,82]) ).
thf(180,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( smaller_or_equal @ X @ Y )
| ( X = Y )
| ( smaller @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( smaller_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( smaller @ X @ Y )
| ( smaller_or_equal @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(181,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater_or_equal @ X @ Y )
| ( X = Y )
| ( greater @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( greater_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ( greater_or_equal @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(182,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater @ Y @ X )
| ( smaller @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( smaller @ X @ Y )
| ( greater @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(183,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(184,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ Z )
| ( greater @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(185,plain,
( ( ! [X: $i,Y: $i] :
( ( greater @ X @ Y )
| ( X = Y )
| ( smaller @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(186,plain,
( ( ! [X: $i] :
( ! [T0: $i,T: $i] :
( ~ ( organization @ X )
| ~ ( is_aligned @ X @ T0 )
| ( is_aligned @ X @ T )
| ( dissimilar @ X @ T0 @ T ) )
& ! [T0: $i,T: $i] :
( ~ ( organization @ X )
| ~ ( is_aligned @ X @ T )
| ( is_aligned @ X @ T0 )
| ( dissimilar @ X @ T0 @ T ) )
& ( ! [T0: $i,T: $i] :
~ ( dissimilar @ X @ T0 @ T )
| ( organization @ X ) )
& ! [T0: $i,T: $i] :
( ~ ( dissimilar @ X @ T0 @ T )
| ~ ( is_aligned @ X @ T0 )
| ~ ( is_aligned @ X @ T ) )
& ! [T0: $i,T: $i] :
( ~ ( dissimilar @ X @ T0 @ T )
| ( is_aligned @ X @ T0 )
| ( is_aligned @ X @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(187,plain,
( ( ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 )
& ~ ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(188,plain,
( ( ~ ( ~ ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 )
| ~ ~ ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(189,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( organization @ SX0 )
| ~ ( is_aligned @ SX0 @ SX1 )
| ( is_aligned @ SX0 @ SX2 )
| ( dissimilar @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( organization @ SX0 )
| ~ ( is_aligned @ SX0 @ SX2 )
| ( is_aligned @ SX0 @ SX1 )
| ( dissimilar @ SX0 @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i,SX2: $i] :
~ ( dissimilar @ SX0 @ SX1 @ SX2 )
| ( organization @ SX0 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( dissimilar @ SX0 @ SX1 @ SX2 )
| ~ ( is_aligned @ SX0 @ SX1 )
| ~ ( is_aligned @ SX0 @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( dissimilar @ SX0 @ SX1 @ SX2 )
| ( is_aligned @ SX0 @ SX1 )
| ( is_aligned @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(190,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(191,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( smaller @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(192,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( smaller @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( greater @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(193,plain,
! [SV35: $i] :
( ( ! [SY50: $i] :
( ~ ( greater @ SV35 @ SY50 )
| ~ ( greater @ SY50 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(194,plain,
! [SV36: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ~ ( greater @ SV36 @ SY51 )
| ~ ( greater @ SY51 @ SY52 )
| ( greater @ SV36 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(195,plain,
! [SV37: $i] :
( ( ! [SY53: $i] :
( ( greater @ SV37 @ SY53 )
| ( SV37 = SY53 )
| ( smaller @ SV37 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(196,plain,
( ( ~ ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 )
| ~ ~ ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(197,plain,
! [SV38: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY54: $i,SY55: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY54 )
| ( is_aligned @ SV38 @ SY55 )
| ( dissimilar @ SV38 @ SY54 @ SY55 ) )
| ~ ! [SY56: $i,SY57: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY57 )
| ( is_aligned @ SV38 @ SY56 )
| ( dissimilar @ SV38 @ SY56 @ SY57 ) ) )
| ~ ~ ( ~ ( ! [SY58: $i,SY59: $i] :
~ ( dissimilar @ SV38 @ SY58 @ SY59 )
| ( organization @ SV38 ) )
| ~ ~ ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( dissimilar @ SV38 @ SY60 @ SY61 )
| ~ ( is_aligned @ SV38 @ SY60 )
| ~ ( is_aligned @ SV38 @ SY61 ) )
| ~ ! [SY62: $i,SY63: $i] :
( ~ ( dissimilar @ SV38 @ SY62 @ SY63 )
| ( is_aligned @ SV38 @ SY62 )
| ( is_aligned @ SV38 @ SY63 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(198,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(199,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( smaller @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(200,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( smaller @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( greater @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(201,plain,
! [SV39: $i,SV35: $i] :
( ( ~ ( greater @ SV35 @ SV39 )
| ~ ( greater @ SV39 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(202,plain,
! [SV40: $i,SV36: $i] :
( ( ! [SY64: $i] :
( ~ ( greater @ SV36 @ SV40 )
| ~ ( greater @ SV40 @ SY64 )
| ( greater @ SV36 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(203,plain,
! [SV41: $i,SV37: $i] :
( ( ( greater @ SV37 @ SV41 )
| ( SV37 = SV41 )
| ( smaller @ SV37 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(204,plain,
( ( ~ ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(205,plain,
( ( ~ ~ ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(206,plain,
! [SV38: $i] :
( ( ~ ~ ( ~ ! [SY54: $i,SY55: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY54 )
| ( is_aligned @ SV38 @ SY55 )
| ( dissimilar @ SV38 @ SY54 @ SY55 ) )
| ~ ! [SY56: $i,SY57: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY57 )
| ( is_aligned @ SV38 @ SY56 )
| ( dissimilar @ SV38 @ SY56 @ SY57 ) ) )
| ~ ~ ( ~ ( ! [SY58: $i,SY59: $i] :
~ ( dissimilar @ SV38 @ SY58 @ SY59 )
| ( organization @ SV38 ) )
| ~ ~ ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( dissimilar @ SV38 @ SY60 @ SY61 )
| ~ ( is_aligned @ SV38 @ SY60 )
| ~ ( is_aligned @ SV38 @ SY61 ) )
| ~ ! [SY62: $i,SY63: $i] :
( ~ ( dissimilar @ SV38 @ SY62 @ SY63 )
| ( is_aligned @ SV38 @ SY62 )
| ( is_aligned @ SV38 @ SY63 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(207,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(208,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(209,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( smaller @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(210,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(211,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( smaller @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(212,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( greater @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(213,plain,
! [SV39: $i,SV35: $i] :
( ( ( ~ ( greater @ SV35 @ SV39 ) )
= $true )
| ( ( ~ ( greater @ SV39 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(214,plain,
! [SV42: $i,SV40: $i,SV36: $i] :
( ( ~ ( greater @ SV36 @ SV40 )
| ~ ( greater @ SV40 @ SV42 )
| ( greater @ SV36 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(215,plain,
! [SV41: $i,SV37: $i] :
( ( ( greater @ SV37 @ SV41 )
= $true )
| ( ( ( SV37 = SV41 )
| ( smaller @ SV37 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(216,plain,
( ( dissimilar @ sK1_X @ sK3_SY21 @ sK2_SY19 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(217,plain,
( ( ~ ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(218,plain,
! [SV38: $i] :
( ( ~ ~ ( ~ ! [SY54: $i,SY55: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY54 )
| ( is_aligned @ SV38 @ SY55 )
| ( dissimilar @ SV38 @ SY54 @ SY55 ) )
| ~ ! [SY56: $i,SY57: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY57 )
| ( is_aligned @ SV38 @ SY56 )
| ( dissimilar @ SV38 @ SY56 @ SY57 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(219,plain,
! [SV38: $i] :
( ( ~ ~ ( ~ ( ! [SY58: $i,SY59: $i] :
~ ( dissimilar @ SV38 @ SY58 @ SY59 )
| ( organization @ SV38 ) )
| ~ ~ ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( dissimilar @ SV38 @ SY60 @ SY61 )
| ~ ( is_aligned @ SV38 @ SY60 )
| ~ ( is_aligned @ SV38 @ SY61 ) )
| ~ ! [SY62: $i,SY63: $i] :
( ~ ( dissimilar @ SV38 @ SY62 @ SY63 )
| ( is_aligned @ SV38 @ SY62 )
| ( is_aligned @ SV38 @ SY63 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(220,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( greater @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(221,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(222,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( smaller_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( smaller @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(223,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(224,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX1 @ SX0 )
| ( smaller @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(225,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( greater @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(226,plain,
! [SV39: $i,SV35: $i] :
( ( ( greater @ SV35 @ SV39 )
= $false )
| ( ( ~ ( greater @ SV39 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(227,plain,
! [SV42: $i,SV40: $i,SV36: $i] :
( ( ( ~ ( greater @ SV36 @ SV40 )
| ~ ( greater @ SV40 @ SV42 ) )
= $true )
| ( ( greater @ SV36 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(228,plain,
! [SV41: $i,SV37: $i] :
( ( ( SV37 = SV41 )
= $true )
| ( ( smaller @ SV37 @ SV41 )
= $true )
| ( ( greater @ SV37 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(229,plain,
( ( dissimilar @ sK1_X @ sK2_SY19 @ sK3_SY21 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(230,plain,
! [SV38: $i] :
( ( ~ ( ~ ! [SY54: $i,SY55: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY54 )
| ( is_aligned @ SV38 @ SY55 )
| ( dissimilar @ SV38 @ SY54 @ SY55 ) )
| ~ ! [SY56: $i,SY57: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY57 )
| ( is_aligned @ SV38 @ SY56 )
| ( dissimilar @ SV38 @ SY56 @ SY57 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(231,plain,
! [SV38: $i] :
( ( ~ ( ~ ( ! [SY58: $i,SY59: $i] :
~ ( dissimilar @ SV38 @ SY58 @ SY59 )
| ( organization @ SV38 ) )
| ~ ~ ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( dissimilar @ SV38 @ SY60 @ SY61 )
| ~ ( is_aligned @ SV38 @ SY60 )
| ~ ( is_aligned @ SV38 @ SY61 ) )
| ~ ! [SY62: $i,SY63: $i] :
( ~ ( dissimilar @ SV38 @ SY62 @ SY63 )
| ( is_aligned @ SV38 @ SY62 )
| ( is_aligned @ SV38 @ SY63 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(232,plain,
! [SV43: $i] :
( ( ! [SY65: $i] :
( ~ ( greater_or_equal @ SV43 @ SY65 )
| ( SV43 = SY65 )
| ( greater @ SV43 @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(233,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(234,plain,
! [SV44: $i] :
( ( ! [SY66: $i] :
( ~ ( smaller_or_equal @ SV44 @ SY66 )
| ( SV44 = SY66 )
| ( smaller @ SV44 @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(235,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(236,plain,
! [SV45: $i] :
( ( ! [SY67: $i] :
( ~ ( greater @ SY67 @ SV45 )
| ( smaller @ SV45 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(237,plain,
! [SV46: $i] :
( ( ! [SY68: $i] :
( ~ ( smaller @ SV46 @ SY68 )
| ( greater @ SY68 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(238,plain,
! [SV35: $i,SV39: $i] :
( ( ( greater @ SV39 @ SV35 )
= $false )
| ( ( greater @ SV35 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(239,plain,
! [SV42: $i,SV40: $i,SV36: $i] :
( ( ( ~ ( greater @ SV36 @ SV40 ) )
= $true )
| ( ( ~ ( greater @ SV40 @ SV42 ) )
= $true )
| ( ( greater @ SV36 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV38: $i] :
( ( ~ ! [SY54: $i,SY55: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY54 )
| ( is_aligned @ SV38 @ SY55 )
| ( dissimilar @ SV38 @ SY54 @ SY55 ) )
| ~ ! [SY56: $i,SY57: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY57 )
| ( is_aligned @ SV38 @ SY56 )
| ( dissimilar @ SV38 @ SY56 @ SY57 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(241,plain,
! [SV38: $i] :
( ( ~ ( ! [SY58: $i,SY59: $i] :
~ ( dissimilar @ SV38 @ SY58 @ SY59 )
| ( organization @ SV38 ) )
| ~ ~ ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( dissimilar @ SV38 @ SY60 @ SY61 )
| ~ ( is_aligned @ SV38 @ SY60 )
| ~ ( is_aligned @ SV38 @ SY61 ) )
| ~ ! [SY62: $i,SY63: $i] :
( ~ ( dissimilar @ SV38 @ SY62 @ SY63 )
| ( is_aligned @ SV38 @ SY62 )
| ( is_aligned @ SV38 @ SY63 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(242,plain,
! [SV47: $i,SV43: $i] :
( ( ~ ( greater_or_equal @ SV43 @ SV47 )
| ( SV43 = SV47 )
| ( greater @ SV43 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(243,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(244,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(245,plain,
! [SV48: $i,SV44: $i] :
( ( ~ ( smaller_or_equal @ SV44 @ SV48 )
| ( SV44 = SV48 )
| ( smaller @ SV44 @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(246,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(247,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(248,plain,
! [SV45: $i,SV49: $i] :
( ( ~ ( greater @ SV49 @ SV45 )
| ( smaller @ SV45 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(249,plain,
! [SV50: $i,SV46: $i] :
( ( ~ ( smaller @ SV46 @ SV50 )
| ( greater @ SV50 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(250,plain,
! [SV42: $i,SV40: $i,SV36: $i] :
( ( ( greater @ SV36 @ SV40 )
= $false )
| ( ( ~ ( greater @ SV40 @ SV42 ) )
= $true )
| ( ( greater @ SV36 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(251,plain,
! [SV38: $i] :
( ( ~ ! [SY54: $i,SY55: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY54 )
| ( is_aligned @ SV38 @ SY55 )
| ( dissimilar @ SV38 @ SY54 @ SY55 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(252,plain,
! [SV38: $i] :
( ( ~ ! [SY56: $i,SY57: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY57 )
| ( is_aligned @ SV38 @ SY56 )
| ( dissimilar @ SV38 @ SY56 @ SY57 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(253,plain,
! [SV38: $i] :
( ( ~ ( ! [SY58: $i,SY59: $i] :
~ ( dissimilar @ SV38 @ SY58 @ SY59 )
| ( organization @ SV38 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(254,plain,
! [SV38: $i] :
( ( ~ ~ ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( dissimilar @ SV38 @ SY60 @ SY61 )
| ~ ( is_aligned @ SV38 @ SY60 )
| ~ ( is_aligned @ SV38 @ SY61 ) )
| ~ ! [SY62: $i,SY63: $i] :
( ~ ( dissimilar @ SV38 @ SY62 @ SY63 )
| ( is_aligned @ SV38 @ SY62 )
| ( is_aligned @ SV38 @ SY63 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(255,plain,
! [SV47: $i,SV43: $i] :
( ( ( ~ ( greater_or_equal @ SV43 @ SV47 ) )
= $true )
| ( ( ( SV43 = SV47 )
| ( greater @ SV43 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(256,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(257,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( greater @ SX0 @ SX1 )
| ( greater_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(258,plain,
! [SV48: $i,SV44: $i] :
( ( ( ~ ( smaller_or_equal @ SV44 @ SV48 ) )
= $true )
| ( ( ( SV44 = SV48 )
| ( smaller @ SV44 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(259,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(260,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( smaller @ SX0 @ SX1 )
| ( smaller_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(261,plain,
! [SV45: $i,SV49: $i] :
( ( ( ~ ( greater @ SV49 @ SV45 ) )
= $true )
| ( ( smaller @ SV45 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(262,plain,
! [SV50: $i,SV46: $i] :
( ( ( ~ ( smaller @ SV46 @ SV50 ) )
= $true )
| ( ( greater @ SV50 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(263,plain,
! [SV36: $i,SV42: $i,SV40: $i] :
( ( ( greater @ SV40 @ SV42 )
= $false )
| ( ( greater @ SV36 @ SV40 )
= $false )
| ( ( greater @ SV36 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(264,plain,
! [SV38: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY54 )
| ( is_aligned @ SV38 @ SY55 )
| ( dissimilar @ SV38 @ SY54 @ SY55 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(265,plain,
! [SV38: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY57 )
| ( is_aligned @ SV38 @ SY56 )
| ( dissimilar @ SV38 @ SY56 @ SY57 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(266,plain,
! [SV38: $i] :
( ( ! [SY58: $i,SY59: $i] :
~ ( dissimilar @ SV38 @ SY58 @ SY59 )
| ( organization @ SV38 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(267,plain,
! [SV38: $i] :
( ( ~ ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( dissimilar @ SV38 @ SY60 @ SY61 )
| ~ ( is_aligned @ SV38 @ SY60 )
| ~ ( is_aligned @ SV38 @ SY61 ) )
| ~ ! [SY62: $i,SY63: $i] :
( ~ ( dissimilar @ SV38 @ SY62 @ SY63 )
| ( is_aligned @ SV38 @ SY62 )
| ( is_aligned @ SV38 @ SY63 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(268,plain,
! [SV47: $i,SV43: $i] :
( ( ( greater_or_equal @ SV43 @ SV47 )
= $false )
| ( ( ( SV43 = SV47 )
| ( greater @ SV43 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(269,plain,
! [SV51: $i] :
( ( ! [SY69: $i] :
( ( SV51 != SY69 )
| ( greater_or_equal @ SV51 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(270,plain,
! [SV52: $i] :
( ( ! [SY70: $i] :
( ~ ( greater @ SV52 @ SY70 )
| ( greater_or_equal @ SV52 @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(271,plain,
! [SV48: $i,SV44: $i] :
( ( ( smaller_or_equal @ SV44 @ SV48 )
= $false )
| ( ( ( SV44 = SV48 )
| ( smaller @ SV44 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(272,plain,
! [SV53: $i] :
( ( ! [SY71: $i] :
( ( SV53 != SY71 )
| ( smaller_or_equal @ SV53 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(273,plain,
! [SV54: $i] :
( ( ! [SY72: $i] :
( ~ ( smaller @ SV54 @ SY72 )
| ( smaller_or_equal @ SV54 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(274,plain,
! [SV45: $i,SV49: $i] :
( ( ( greater @ SV49 @ SV45 )
= $false )
| ( ( smaller @ SV45 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(275,plain,
! [SV50: $i,SV46: $i] :
( ( ( smaller @ SV46 @ SV50 )
= $false )
| ( ( greater @ SV50 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(276,plain,
! [SV55: $i,SV38: $i] :
( ( ! [SY73: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SV55 )
| ( is_aligned @ SV38 @ SY73 )
| ( dissimilar @ SV38 @ SV55 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(277,plain,
! [SV56: $i,SV38: $i] :
( ( ! [SY74: $i] :
( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SY74 )
| ( is_aligned @ SV38 @ SV56 )
| ( dissimilar @ SV38 @ SV56 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(278,plain,
! [SV38: $i] :
( ( ( ! [SY58: $i,SY59: $i] :
~ ( dissimilar @ SV38 @ SY58 @ SY59 ) )
= $true )
| ( ( organization @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(279,plain,
! [SV38: $i] :
( ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( dissimilar @ SV38 @ SY60 @ SY61 )
| ~ ( is_aligned @ SV38 @ SY60 )
| ~ ( is_aligned @ SV38 @ SY61 ) )
| ~ ! [SY62: $i,SY63: $i] :
( ~ ( dissimilar @ SV38 @ SY62 @ SY63 )
| ( is_aligned @ SV38 @ SY62 )
| ( is_aligned @ SV38 @ SY63 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(280,plain,
! [SV47: $i,SV43: $i] :
( ( ( SV43 = SV47 )
= $true )
| ( ( greater @ SV43 @ SV47 )
= $true )
| ( ( greater_or_equal @ SV43 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(281,plain,
! [SV57: $i,SV51: $i] :
( ( ( SV51 != SV57 )
| ( greater_or_equal @ SV51 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(282,plain,
! [SV58: $i,SV52: $i] :
( ( ~ ( greater @ SV52 @ SV58 )
| ( greater_or_equal @ SV52 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(283,plain,
! [SV48: $i,SV44: $i] :
( ( ( SV44 = SV48 )
= $true )
| ( ( smaller @ SV44 @ SV48 )
= $true )
| ( ( smaller_or_equal @ SV44 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(284,plain,
! [SV59: $i,SV53: $i] :
( ( ( SV53 != SV59 )
| ( smaller_or_equal @ SV53 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(285,plain,
! [SV60: $i,SV54: $i] :
( ( ~ ( smaller @ SV54 @ SV60 )
| ( smaller_or_equal @ SV54 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(286,plain,
! [SV61: $i,SV55: $i,SV38: $i] :
( ( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SV55 )
| ( is_aligned @ SV38 @ SV61 )
| ( dissimilar @ SV38 @ SV55 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(287,plain,
! [SV56: $i,SV62: $i,SV38: $i] :
( ( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SV62 )
| ( is_aligned @ SV38 @ SV56 )
| ( dissimilar @ SV38 @ SV56 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(288,plain,
! [SV63: $i,SV38: $i] :
( ( ( ! [SY75: $i] :
~ ( dissimilar @ SV38 @ SV63 @ SY75 ) )
= $true )
| ( ( organization @ SV38 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(289,plain,
! [SV38: $i] :
( ( ~ ! [SY60: $i,SY61: $i] :
( ~ ( dissimilar @ SV38 @ SY60 @ SY61 )
| ~ ( is_aligned @ SV38 @ SY60 )
| ~ ( is_aligned @ SV38 @ SY61 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(290,plain,
! [SV38: $i] :
( ( ~ ! [SY62: $i,SY63: $i] :
( ~ ( dissimilar @ SV38 @ SY62 @ SY63 )
| ( is_aligned @ SV38 @ SY62 )
| ( is_aligned @ SV38 @ SY63 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(291,plain,
! [SV57: $i,SV51: $i] :
( ( ( ( SV51 != SV57 ) )
= $true )
| ( ( greater_or_equal @ SV51 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(292,plain,
! [SV58: $i,SV52: $i] :
( ( ( ~ ( greater @ SV52 @ SV58 ) )
= $true )
| ( ( greater_or_equal @ SV52 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(293,plain,
! [SV59: $i,SV53: $i] :
( ( ( ( SV53 != SV59 ) )
= $true )
| ( ( smaller_or_equal @ SV53 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(294,plain,
! [SV60: $i,SV54: $i] :
( ( ( ~ ( smaller @ SV54 @ SV60 ) )
= $true )
| ( ( smaller_or_equal @ SV54 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(295,plain,
! [SV61: $i,SV55: $i,SV38: $i] :
( ( ( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SV55 )
| ( is_aligned @ SV38 @ SV61 ) )
= $true )
| ( ( dissimilar @ SV38 @ SV55 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(296,plain,
! [SV56: $i,SV62: $i,SV38: $i] :
( ( ( ~ ( organization @ SV38 )
| ~ ( is_aligned @ SV38 @ SV62 )
| ( is_aligned @ SV38 @ SV56 ) )
= $true )
| ( ( dissimilar @ SV38 @ SV56 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(297,plain,
! [SV64: $i,SV63: $i,SV38: $i] :
( ( ( ~ ( dissimilar @ SV38 @ SV63 @ SV64 ) )
= $true )
| ( ( organization @ SV38 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(298,plain,
! [SV38: $i] :
( ( ! [SY60: $i,SY61: $i] :
( ~ ( dissimilar @ SV38 @ SY60 @ SY61 )
| ~ ( is_aligned @ SV38 @ SY60 )
| ~ ( is_aligned @ SV38 @ SY61 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(299,plain,
! [SV38: $i] :
( ( ! [SY62: $i,SY63: $i] :
( ~ ( dissimilar @ SV38 @ SY62 @ SY63 )
| ( is_aligned @ SV38 @ SY62 )
| ( is_aligned @ SV38 @ SY63 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(300,plain,
! [SV57: $i,SV51: $i] :
( ( ( SV51 = SV57 )
= $false )
| ( ( greater_or_equal @ SV51 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(301,plain,
! [SV58: $i,SV52: $i] :
( ( ( greater @ SV52 @ SV58 )
= $false )
| ( ( greater_or_equal @ SV52 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(302,plain,
! [SV59: $i,SV53: $i] :
( ( ( SV53 = SV59 )
= $false )
| ( ( smaller_or_equal @ SV53 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(303,plain,
! [SV60: $i,SV54: $i] :
( ( ( smaller @ SV54 @ SV60 )
= $false )
| ( ( smaller_or_equal @ SV54 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(304,plain,
! [SV61: $i,SV55: $i,SV38: $i] :
( ( ( ~ ( organization @ SV38 ) )
= $true )
| ( ( ~ ( is_aligned @ SV38 @ SV55 )
| ( is_aligned @ SV38 @ SV61 ) )
= $true )
| ( ( dissimilar @ SV38 @ SV55 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(305,plain,
! [SV56: $i,SV62: $i,SV38: $i] :
( ( ( ~ ( organization @ SV38 ) )
= $true )
| ( ( ~ ( is_aligned @ SV38 @ SV62 )
| ( is_aligned @ SV38 @ SV56 ) )
= $true )
| ( ( dissimilar @ SV38 @ SV56 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(306,plain,
! [SV64: $i,SV63: $i,SV38: $i] :
( ( ( dissimilar @ SV38 @ SV63 @ SV64 )
= $false )
| ( ( organization @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(307,plain,
! [SV65: $i,SV38: $i] :
( ( ! [SY76: $i] :
( ~ ( dissimilar @ SV38 @ SV65 @ SY76 )
| ~ ( is_aligned @ SV38 @ SV65 )
| ~ ( is_aligned @ SV38 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(308,plain,
! [SV66: $i,SV38: $i] :
( ( ! [SY77: $i] :
( ~ ( dissimilar @ SV38 @ SV66 @ SY77 )
| ( is_aligned @ SV38 @ SV66 )
| ( is_aligned @ SV38 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(309,plain,
! [SV61: $i,SV55: $i,SV38: $i] :
( ( ( organization @ SV38 )
= $false )
| ( ( ~ ( is_aligned @ SV38 @ SV55 )
| ( is_aligned @ SV38 @ SV61 ) )
= $true )
| ( ( dissimilar @ SV38 @ SV55 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(310,plain,
! [SV56: $i,SV62: $i,SV38: $i] :
( ( ( organization @ SV38 )
= $false )
| ( ( ~ ( is_aligned @ SV38 @ SV62 )
| ( is_aligned @ SV38 @ SV56 ) )
= $true )
| ( ( dissimilar @ SV38 @ SV56 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(311,plain,
! [SV67: $i,SV65: $i,SV38: $i] :
( ( ~ ( dissimilar @ SV38 @ SV65 @ SV67 )
| ~ ( is_aligned @ SV38 @ SV65 )
| ~ ( is_aligned @ SV38 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(312,plain,
! [SV68: $i,SV66: $i,SV38: $i] :
( ( ~ ( dissimilar @ SV38 @ SV66 @ SV68 )
| ( is_aligned @ SV38 @ SV66 )
| ( is_aligned @ SV38 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(313,plain,
! [SV61: $i,SV55: $i,SV38: $i] :
( ( ( ~ ( is_aligned @ SV38 @ SV55 ) )
= $true )
| ( ( is_aligned @ SV38 @ SV61 )
= $true )
| ( ( organization @ SV38 )
= $false )
| ( ( dissimilar @ SV38 @ SV55 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(314,plain,
! [SV56: $i,SV62: $i,SV38: $i] :
( ( ( ~ ( is_aligned @ SV38 @ SV62 ) )
= $true )
| ( ( is_aligned @ SV38 @ SV56 )
= $true )
| ( ( organization @ SV38 )
= $false )
| ( ( dissimilar @ SV38 @ SV56 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(315,plain,
! [SV67: $i,SV65: $i,SV38: $i] :
( ( ( ~ ( dissimilar @ SV38 @ SV65 @ SV67 ) )
= $true )
| ( ( ~ ( is_aligned @ SV38 @ SV65 )
| ~ ( is_aligned @ SV38 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(316,plain,
! [SV68: $i,SV66: $i,SV38: $i] :
( ( ( ~ ( dissimilar @ SV38 @ SV66 @ SV68 ) )
= $true )
| ( ( ( is_aligned @ SV38 @ SV66 )
| ( is_aligned @ SV38 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(317,plain,
! [SV61: $i,SV55: $i,SV38: $i] :
( ( ( is_aligned @ SV38 @ SV55 )
= $false )
| ( ( is_aligned @ SV38 @ SV61 )
= $true )
| ( ( organization @ SV38 )
= $false )
| ( ( dissimilar @ SV38 @ SV55 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(318,plain,
! [SV56: $i,SV62: $i,SV38: $i] :
( ( ( is_aligned @ SV38 @ SV62 )
= $false )
| ( ( is_aligned @ SV38 @ SV56 )
= $true )
| ( ( organization @ SV38 )
= $false )
| ( ( dissimilar @ SV38 @ SV56 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(319,plain,
! [SV67: $i,SV65: $i,SV38: $i] :
( ( ( dissimilar @ SV38 @ SV65 @ SV67 )
= $false )
| ( ( ~ ( is_aligned @ SV38 @ SV65 )
| ~ ( is_aligned @ SV38 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(320,plain,
! [SV68: $i,SV66: $i,SV38: $i] :
( ( ( dissimilar @ SV38 @ SV66 @ SV68 )
= $false )
| ( ( ( is_aligned @ SV38 @ SV66 )
| ( is_aligned @ SV38 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(321,plain,
! [SV67: $i,SV65: $i,SV38: $i] :
( ( ( ~ ( is_aligned @ SV38 @ SV65 ) )
= $true )
| ( ( ~ ( is_aligned @ SV38 @ SV67 ) )
= $true )
| ( ( dissimilar @ SV38 @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(322,plain,
! [SV68: $i,SV66: $i,SV38: $i] :
( ( ( is_aligned @ SV38 @ SV66 )
= $true )
| ( ( is_aligned @ SV38 @ SV68 )
= $true )
| ( ( dissimilar @ SV38 @ SV66 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(323,plain,
! [SV67: $i,SV65: $i,SV38: $i] :
( ( ( is_aligned @ SV38 @ SV65 )
= $false )
| ( ( ~ ( is_aligned @ SV38 @ SV67 ) )
= $true )
| ( ( dissimilar @ SV38 @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(324,plain,
! [SV65: $i,SV67: $i,SV38: $i] :
( ( ( is_aligned @ SV38 @ SV67 )
= $false )
| ( ( is_aligned @ SV38 @ SV65 )
= $false )
| ( ( dissimilar @ SV38 @ SV65 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(325,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[216,324,322,318,317,306,303,302,301,300,283,280,275,274,263,238,229,228]) ).
thf(326,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[325,179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.15 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.36 % Computer : n027.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 600
% 0.12/0.36 % DateTime : Thu Jun 9 09:40:12 EDT 2022
% 0.12/0.36 % CPUTime :
% 0.19/0.37
% 0.19/0.37 No.of.Axioms: 7
% 0.19/0.37
% 0.19/0.37 Length.of.Defs: 0
% 0.19/0.37
% 0.19/0.37 Contains.Choice.Funs: false
% 0.19/0.37 (rf:0,axioms:7,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:9,loop_count:0,foatp_calls:0,translation:fof_full)..................
% 0.19/0.52
% 0.19/0.52 ********************************
% 0.19/0.52 * All subproblems solved! *
% 0.19/0.52 ********************************
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:325,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.35/0.56
% 0.35/0.56 %**** Beginning of derivation protocol ****
% 0.35/0.56 % SZS output start CNFRefutation
% See solution above
% 0.37/0.56
% 0.37/0.56 %**** End of derivation protocol ****
% 0.37/0.56 %**** no. of clauses in derivation: 326 ****
% 0.37/0.56 %**** clause counter: 325 ****
% 0.37/0.56
% 0.37/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:325,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------