TSTP Solution File: MGT014+1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT014+1 : TPTP v8.1.0. Released v2.0.0.
% 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 22:17:09 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 154 ( 74 unt; 13 typ; 0 def)
% Number of atoms : 1317 ( 386 equ; 0 cnn)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 2301 ( 359 ~; 396 |; 104 &;1420 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 9 con; 0-3 aty)
% Number of variables : 460 ( 0 ^ 460 !; 0 ?; 460 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_complexity,type,
complexity: $i > $i > $i > $o ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_organization,type,
organization: $i > $i > $o ).
thf(tp_reorganization_free,type,
reorganization_free: $i > $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY33,type,
sK2_SY33: $i ).
thf(tp_sK3_SY39,type,
sK3_SY39: $i ).
thf(tp_sK4_SY44,type,
sK4_SY44: $i ).
thf(tp_sK5_SY48,type,
sK5_SY48: $i ).
thf(tp_sK6_SY51,type,
sK6_SY51: $i ).
thf(tp_sK7_SY53,type,
sK7_SY53: $i ).
thf(tp_size,type,
size: $i > $i > $i > $o ).
thf(tp_time,type,
time: $i > $o ).
thf(1,axiom,
! [X: $i,S1: $i,S2: $i,T1: $i,T2: $i] :
( ( ( organization @ X @ T1 )
& ( organization @ X @ T2 )
& ( size @ X @ S1 @ T1 )
& ( size @ X @ S2 @ T2 )
& ( T1 = T2 ) )
=> ( S1 = S2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp19) ).
thf(2,axiom,
! [X: $i,T1: $i,T2: $i] :
( ( reorganization_free @ X @ T1 @ T2 )
=> ( reorganization_free @ X @ T2 @ T1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp17) ).
thf(3,axiom,
! [T1: $i,T2: $i] :
( ( ( time @ T1 )
& ( time @ T2 ) )
=> ( ( greater @ T1 @ T2 )
| ( T1 = T2 )
| ( greater @ T2 @ T1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp16) ).
thf(4,axiom,
! [X: $i,T: $i] :
( ( organization @ X @ T )
=> ( time @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp15) ).
thf(5,axiom,
! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( greater @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2) ).
thf(6,axiom,
! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1) ).
thf(7,axiom,
! [X: $i,C1: $i,C2: $i,T1: $i,T2: $i] :
( ( ( organization @ X @ T1 )
& ( organization @ X @ T2 )
& ( reorganization_free @ X @ T1 @ T2 )
& ( complexity @ X @ C1 @ T1 )
& ( complexity @ X @ C2 @ T2 )
& ( greater @ T2 @ T1 ) )
=> ~ ( greater @ C1 @ C2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL) ).
thf(8,axiom,
! [X: $i,S1: $i,S2: $i,T1: $i,T2: $i] :
( ( ( organization @ X @ T1 )
& ( organization @ X @ T2 )
& ( reorganization_free @ X @ T1 @ T2 )
& ( size @ X @ S1 @ T1 )
& ( size @ X @ S2 @ T2 )
& ( greater @ T2 @ T1 ) )
=> ~ ( greater @ S1 @ S2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL) ).
thf(9,conjecture,
! [X: $i,C1: $i,C2: $i,S1: $i,S2: $i,T1: $i,T2: $i] :
( ( ( organization @ X @ T1 )
& ( organization @ X @ T2 )
& ( reorganization_free @ X @ T1 @ T2 )
& ( complexity @ X @ C1 @ T1 )
& ( complexity @ X @ C2 @ T2 )
& ( size @ X @ S1 @ T1 )
& ( size @ X @ S2 @ T2 )
& ( greater @ S2 @ S1 ) )
=> ~ ( greater @ C1 @ C2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_FOL) ).
thf(10,negated_conjecture,
( ( ! [X: $i,C1: $i,C2: $i,S1: $i,S2: $i,T1: $i,T2: $i] :
( ( ( organization @ X @ T1 )
& ( organization @ X @ T2 )
& ( reorganization_free @ X @ T1 @ T2 )
& ( complexity @ X @ C1 @ T1 )
& ( complexity @ X @ C2 @ T2 )
& ( size @ X @ S1 @ T1 )
& ( size @ X @ S2 @ T2 )
& ( greater @ S2 @ S1 ) )
=> ~ ( greater @ C1 @ C2 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ! [X: $i,C1: $i,C2: $i,S1: $i,S2: $i,T1: $i,T2: $i] :
( ( ( organization @ X @ T1 )
& ( organization @ X @ T2 )
& ( reorganization_free @ X @ T1 @ T2 )
& ( complexity @ X @ C1 @ T1 )
& ( complexity @ X @ C2 @ T2 )
& ( size @ X @ S1 @ T1 )
& ( size @ X @ S2 @ T2 )
& ( greater @ S2 @ S1 ) )
=> ~ ( greater @ C1 @ C2 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [X: $i,S1: $i,S2: $i,T1: $i,T2: $i] :
( ( ( organization @ X @ T1 )
& ( organization @ X @ T2 )
& ( size @ X @ S1 @ T1 )
& ( size @ X @ S2 @ T2 )
& ( T1 = T2 ) )
=> ( S1 = S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [X: $i,T1: $i,T2: $i] :
( ( reorganization_free @ X @ T1 @ T2 )
=> ( reorganization_free @ X @ T2 @ T1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( ! [T1: $i,T2: $i] :
( ( ( time @ T1 )
& ( time @ T2 ) )
=> ( ( greater @ T1 @ T2 )
| ( T1 = T2 )
| ( greater @ T2 @ T1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [X: $i,T: $i] :
( ( organization @ X @ T )
=> ( time @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( ! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( greater @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i] :
~ ( ( greater @ X @ Y )
& ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(18,plain,
( ( ! [X: $i,C1: $i,C2: $i,T1: $i,T2: $i] :
( ( ( organization @ X @ T1 )
& ( organization @ X @ T2 )
& ( reorganization_free @ X @ T1 @ T2 )
& ( complexity @ X @ C1 @ T1 )
& ( complexity @ X @ C2 @ T2 )
& ( greater @ T2 @ T1 ) )
=> ~ ( greater @ C1 @ C2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( ! [X: $i,S1: $i,S2: $i,T1: $i,T2: $i] :
( ( ( organization @ X @ T1 )
& ( organization @ X @ T2 )
& ( reorganization_free @ X @ T1 @ T2 )
& ( size @ X @ S1 @ T1 )
& ( size @ X @ S2 @ T2 )
& ( greater @ T2 @ T1 ) )
=> ~ ( greater @ S1 @ S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(20,plain,
( ( ! [SY33: $i,SY34: $i,SY35: $i,SY36: $i,SY37: $i,SY38: $i] :
( ( ( organization @ sK1_X @ SY37 )
& ( organization @ sK1_X @ SY38 )
& ( reorganization_free @ sK1_X @ SY37 @ SY38 )
& ( complexity @ sK1_X @ SY33 @ SY37 )
& ( complexity @ sK1_X @ SY34 @ SY38 )
& ( size @ sK1_X @ SY35 @ SY37 )
& ( size @ sK1_X @ SY36 @ SY38 )
& ( greater @ SY36 @ SY35 ) )
=> ~ ( greater @ SY33 @ SY34 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(21,plain,
( ( ! [SY39: $i,SY40: $i,SY41: $i,SY42: $i,SY43: $i] :
( ( ( organization @ sK1_X @ SY42 )
& ( organization @ sK1_X @ SY43 )
& ( reorganization_free @ sK1_X @ SY42 @ SY43 )
& ( complexity @ sK1_X @ sK2_SY33 @ SY42 )
& ( complexity @ sK1_X @ SY39 @ SY43 )
& ( size @ sK1_X @ SY40 @ SY42 )
& ( size @ sK1_X @ SY41 @ SY43 )
& ( greater @ SY41 @ SY40 ) )
=> ~ ( greater @ sK2_SY33 @ SY39 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(22,plain,
( ( ! [SY44: $i,SY45: $i,SY46: $i,SY47: $i] :
( ( ( organization @ sK1_X @ SY46 )
& ( organization @ sK1_X @ SY47 )
& ( reorganization_free @ sK1_X @ SY46 @ SY47 )
& ( complexity @ sK1_X @ sK2_SY33 @ SY46 )
& ( complexity @ sK1_X @ sK3_SY39 @ SY47 )
& ( size @ sK1_X @ SY44 @ SY46 )
& ( size @ sK1_X @ SY45 @ SY47 )
& ( greater @ SY45 @ SY44 ) )
=> ~ ( greater @ sK2_SY33 @ sK3_SY39 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(23,plain,
( ( ! [SY48: $i,SY49: $i,SY50: $i] :
( ( ( organization @ sK1_X @ SY49 )
& ( organization @ sK1_X @ SY50 )
& ( reorganization_free @ sK1_X @ SY49 @ SY50 )
& ( complexity @ sK1_X @ sK2_SY33 @ SY49 )
& ( complexity @ sK1_X @ sK3_SY39 @ SY50 )
& ( size @ sK1_X @ sK4_SY44 @ SY49 )
& ( size @ sK1_X @ SY48 @ SY50 )
& ( greater @ SY48 @ sK4_SY44 ) )
=> ~ ( greater @ sK2_SY33 @ sK3_SY39 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[22]) ).
thf(24,plain,
( ( ! [SY51: $i,SY52: $i] :
( ( ( organization @ sK1_X @ SY51 )
& ( organization @ sK1_X @ SY52 )
& ( reorganization_free @ sK1_X @ SY51 @ SY52 )
& ( complexity @ sK1_X @ sK2_SY33 @ SY51 )
& ( complexity @ sK1_X @ sK3_SY39 @ SY52 )
& ( size @ sK1_X @ sK4_SY44 @ SY51 )
& ( size @ sK1_X @ sK5_SY48 @ SY52 )
& ( greater @ sK5_SY48 @ sK4_SY44 ) )
=> ~ ( greater @ sK2_SY33 @ sK3_SY39 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(25,plain,
( ( ! [SY53: $i] :
( ( ( organization @ sK1_X @ sK6_SY51 )
& ( organization @ sK1_X @ SY53 )
& ( reorganization_free @ sK1_X @ sK6_SY51 @ SY53 )
& ( complexity @ sK1_X @ sK2_SY33 @ sK6_SY51 )
& ( complexity @ sK1_X @ sK3_SY39 @ SY53 )
& ( size @ sK1_X @ sK4_SY44 @ sK6_SY51 )
& ( size @ sK1_X @ sK5_SY48 @ SY53 )
& ( greater @ sK5_SY48 @ sK4_SY44 ) )
=> ~ ( greater @ sK2_SY33 @ sK3_SY39 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(26,plain,
( ( ( ( organization @ sK1_X @ sK6_SY51 )
& ( organization @ sK1_X @ sK7_SY53 )
& ( reorganization_free @ sK1_X @ sK6_SY51 @ sK7_SY53 )
& ( complexity @ sK1_X @ sK2_SY33 @ sK6_SY51 )
& ( complexity @ sK1_X @ sK3_SY39 @ sK7_SY53 )
& ( size @ sK1_X @ sK4_SY44 @ sK6_SY51 )
& ( size @ sK1_X @ sK5_SY48 @ sK7_SY53 )
& ( greater @ sK5_SY48 @ sK4_SY44 ) )
=> ~ ( greater @ sK2_SY33 @ sK3_SY39 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[25]) ).
thf(27,plain,
( ( organization @ sK1_X @ sK6_SY51 )
= $true ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(28,plain,
( ( organization @ sK1_X @ sK7_SY53 )
= $true ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(29,plain,
( ( reorganization_free @ sK1_X @ sK6_SY51 @ sK7_SY53 )
= $true ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(30,plain,
( ( complexity @ sK1_X @ sK2_SY33 @ sK6_SY51 )
= $true ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(31,plain,
( ( complexity @ sK1_X @ sK3_SY39 @ sK7_SY53 )
= $true ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(32,plain,
( ( size @ sK1_X @ sK4_SY44 @ sK6_SY51 )
= $true ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(33,plain,
( ( size @ sK1_X @ sK5_SY48 @ sK7_SY53 )
= $true ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(34,plain,
( ( greater @ sK5_SY48 @ sK4_SY44 )
= $true ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(35,plain,
( ( ~ ( greater @ sK2_SY33 @ sK3_SY39 ) )
= $false ),
inference(standard_cnf,[status(thm)],[26]) ).
thf(36,plain,
( ( greater @ sK2_SY33 @ sK3_SY39 )
= $true ),
inference(polarity_switch,[status(thm)],[35]) ).
thf(37,plain,
( ( ! [X: $i,S1: $i,S2: $i] :
( ! [T1: $i,T2: $i] :
( ~ ( organization @ X @ T1 )
| ~ ( organization @ X @ T2 )
| ~ ( size @ X @ S1 @ T1 )
| ~ ( size @ X @ S2 @ T2 )
| ( T1 != T2 ) )
| ( S1 = S2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(38,plain,
( ( ! [X: $i,T1: $i,T2: $i] :
( ~ ( reorganization_free @ X @ T1 @ T2 )
| ( reorganization_free @ X @ T2 @ T1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(39,plain,
( ( ! [T1: $i,T2: $i] :
( ~ ( time @ T1 )
| ~ ( time @ T2 )
| ( greater @ T2 @ T1 )
| ( T1 = T2 )
| ( greater @ T1 @ T2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(40,plain,
( ( ! [X: $i,T: $i] :
( ~ ( organization @ X @ T )
| ( time @ T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ~ ( greater @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(43,plain,
( ( ! [X: $i,C1: $i,C2: $i] :
( ! [T1: $i,T2: $i] :
( ~ ( organization @ X @ T1 )
| ~ ( organization @ X @ T2 )
| ~ ( reorganization_free @ X @ T1 @ T2 )
| ~ ( complexity @ X @ C1 @ T1 )
| ~ ( complexity @ X @ C2 @ T2 )
| ~ ( greater @ T2 @ T1 ) )
| ~ ( greater @ C1 @ C2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(44,plain,
( ( ! [X: $i,S1: $i,S2: $i] :
( ! [T1: $i,T2: $i] :
( ~ ( organization @ X @ T1 )
| ~ ( organization @ X @ T2 )
| ~ ( reorganization_free @ X @ T1 @ T2 )
| ~ ( size @ X @ S1 @ T1 )
| ~ ( size @ X @ S2 @ T2 )
| ~ ( greater @ T2 @ T1 ) )
| ~ ( greater @ S1 @ S2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(45,plain,
( ( ! [X: $i,S1: $i,S2: $i] :
( ! [T1: $i,T2: $i] :
( ~ ( organization @ X @ T1 )
| ~ ( organization @ X @ T2 )
| ~ ( reorganization_free @ X @ T1 @ T2 )
| ~ ( size @ X @ S1 @ T1 )
| ~ ( size @ X @ S2 @ T2 )
| ~ ( greater @ T2 @ T1 ) )
| ~ ( greater @ S1 @ S2 ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(46,plain,
( ( ! [X: $i,C1: $i,C2: $i] :
( ! [T1: $i,T2: $i] :
( ~ ( organization @ X @ T1 )
| ~ ( organization @ X @ T2 )
| ~ ( reorganization_free @ X @ T1 @ T2 )
| ~ ( complexity @ X @ C1 @ T1 )
| ~ ( complexity @ X @ C2 @ T2 )
| ~ ( greater @ T2 @ T1 ) )
| ~ ( greater @ C1 @ C2 ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ~ ( greater @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( greater @ X @ Y )
| ~ ( greater @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(49,plain,
( ( ! [X: $i,T: $i] :
( ~ ( organization @ X @ T )
| ( time @ T ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(50,plain,
( ( ! [T1: $i,T2: $i] :
( ~ ( time @ T1 )
| ~ ( time @ T2 )
| ( greater @ T2 @ T1 )
| ( T1 = T2 )
| ( greater @ T1 @ T2 ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(51,plain,
( ( ! [X: $i,T1: $i,T2: $i] :
( ~ ( reorganization_free @ X @ T1 @ T2 )
| ( reorganization_free @ X @ T2 @ T1 ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(52,plain,
( ( ! [X: $i,S1: $i,S2: $i] :
( ! [T1: $i,T2: $i] :
( ~ ( organization @ X @ T1 )
| ~ ( organization @ X @ T2 )
| ~ ( size @ X @ S1 @ T1 )
| ~ ( size @ X @ S2 @ T2 )
| ( T1 != T2 ) )
| ( S1 = S2 ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(53,plain,
( ( greater @ sK5_SY48 @ sK4_SY44 )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(54,plain,
( ( size @ sK1_X @ sK5_SY48 @ sK7_SY53 )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(55,plain,
( ( size @ sK1_X @ sK4_SY44 @ sK6_SY51 )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(56,plain,
( ( complexity @ sK1_X @ sK3_SY39 @ sK7_SY53 )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(57,plain,
( ( complexity @ sK1_X @ sK2_SY33 @ sK6_SY51 )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(58,plain,
( ( reorganization_free @ sK1_X @ sK6_SY51 @ sK7_SY53 )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(59,plain,
( ( organization @ sK1_X @ sK7_SY53 )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(60,plain,
( ( organization @ sK1_X @ sK6_SY51 )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(61,plain,
( ( greater @ sK2_SY33 @ sK3_SY39 )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(62,plain,
! [SV1: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ! [SY56: $i,SY57: $i] :
( ~ ( organization @ SV1 @ SY56 )
| ~ ( organization @ SV1 @ SY57 )
| ~ ( reorganization_free @ SV1 @ SY56 @ SY57 )
| ~ ( size @ SV1 @ SY54 @ SY56 )
| ~ ( size @ SV1 @ SY55 @ SY57 )
| ~ ( greater @ SY57 @ SY56 ) )
| ~ ( greater @ SY54 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(63,plain,
! [SV2: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ! [SY60: $i,SY61: $i] :
( ~ ( organization @ SV2 @ SY60 )
| ~ ( organization @ SV2 @ SY61 )
| ~ ( reorganization_free @ SV2 @ SY60 @ SY61 )
| ~ ( complexity @ SV2 @ SY58 @ SY60 )
| ~ ( complexity @ SV2 @ SY59 @ SY61 )
| ~ ( greater @ SY61 @ SY60 ) )
| ~ ( greater @ SY58 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(64,plain,
! [SV3: $i] :
( ( ! [SY62: $i] :
( ( SV3 != SY62 )
| ~ ( greater @ SV3 @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(65,plain,
! [SV4: $i] :
( ( ! [SY63: $i] :
( ~ ( greater @ SV4 @ SY63 )
| ~ ( greater @ SY63 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(66,plain,
! [SV5: $i] :
( ( ! [SY64: $i] :
( ~ ( organization @ SV5 @ SY64 )
| ( time @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(67,plain,
! [SV6: $i] :
( ( ! [SY65: $i] :
( ~ ( time @ SV6 )
| ~ ( time @ SY65 )
| ( greater @ SY65 @ SV6 )
| ( SV6 = SY65 )
| ( greater @ SV6 @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(68,plain,
! [SV7: $i] :
( ( ! [SY66: $i,SY67: $i] :
( ~ ( reorganization_free @ SV7 @ SY66 @ SY67 )
| ( reorganization_free @ SV7 @ SY67 @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(69,plain,
! [SV8: $i] :
( ( ! [SY68: $i,SY69: $i] :
( ! [SY70: $i,SY71: $i] :
( ~ ( organization @ SV8 @ SY70 )
| ~ ( organization @ SV8 @ SY71 )
| ~ ( size @ SV8 @ SY68 @ SY70 )
| ~ ( size @ SV8 @ SY69 @ SY71 )
| ( SY70 != SY71 ) )
| ( SY68 = SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(70,plain,
! [SV9: $i,SV1: $i] :
( ( ! [SY72: $i] :
( ! [SY73: $i,SY74: $i] :
( ~ ( organization @ SV1 @ SY73 )
| ~ ( organization @ SV1 @ SY74 )
| ~ ( reorganization_free @ SV1 @ SY73 @ SY74 )
| ~ ( size @ SV1 @ SV9 @ SY73 )
| ~ ( size @ SV1 @ SY72 @ SY74 )
| ~ ( greater @ SY74 @ SY73 ) )
| ~ ( greater @ SV9 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(71,plain,
! [SV10: $i,SV2: $i] :
( ( ! [SY75: $i] :
( ! [SY76: $i,SY77: $i] :
( ~ ( organization @ SV2 @ SY76 )
| ~ ( organization @ SV2 @ SY77 )
| ~ ( reorganization_free @ SV2 @ SY76 @ SY77 )
| ~ ( complexity @ SV2 @ SV10 @ SY76 )
| ~ ( complexity @ SV2 @ SY75 @ SY77 )
| ~ ( greater @ SY77 @ SY76 ) )
| ~ ( greater @ SV10 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(72,plain,
! [SV11: $i,SV3: $i] :
( ( ( SV3 != SV11 )
| ~ ( greater @ SV3 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(73,plain,
! [SV12: $i,SV4: $i] :
( ( ~ ( greater @ SV4 @ SV12 )
| ~ ( greater @ SV12 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(74,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( organization @ SV5 @ SV13 )
| ( time @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(75,plain,
! [SV14: $i,SV6: $i] :
( ( ~ ( time @ SV6 )
| ~ ( time @ SV14 )
| ( greater @ SV14 @ SV6 )
| ( SV6 = SV14 )
| ( greater @ SV6 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(76,plain,
! [SV15: $i,SV7: $i] :
( ( ! [SY78: $i] :
( ~ ( reorganization_free @ SV7 @ SV15 @ SY78 )
| ( reorganization_free @ SV7 @ SY78 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(77,plain,
! [SV16: $i,SV8: $i] :
( ( ! [SY79: $i] :
( ! [SY80: $i,SY81: $i] :
( ~ ( organization @ SV8 @ SY80 )
| ~ ( organization @ SV8 @ SY81 )
| ~ ( size @ SV8 @ SV16 @ SY80 )
| ~ ( size @ SV8 @ SY79 @ SY81 )
| ( SY80 != SY81 ) )
| ( SV16 = SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(78,plain,
! [SV17: $i,SV9: $i,SV1: $i] :
( ( ! [SY82: $i,SY83: $i] :
( ~ ( organization @ SV1 @ SY82 )
| ~ ( organization @ SV1 @ SY83 )
| ~ ( reorganization_free @ SV1 @ SY82 @ SY83 )
| ~ ( size @ SV1 @ SV9 @ SY82 )
| ~ ( size @ SV1 @ SV17 @ SY83 )
| ~ ( greater @ SY83 @ SY82 ) )
| ~ ( greater @ SV9 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(79,plain,
! [SV18: $i,SV10: $i,SV2: $i] :
( ( ! [SY84: $i,SY85: $i] :
( ~ ( organization @ SV2 @ SY84 )
| ~ ( organization @ SV2 @ SY85 )
| ~ ( reorganization_free @ SV2 @ SY84 @ SY85 )
| ~ ( complexity @ SV2 @ SV10 @ SY84 )
| ~ ( complexity @ SV2 @ SV18 @ SY85 )
| ~ ( greater @ SY85 @ SY84 ) )
| ~ ( greater @ SV10 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(80,plain,
! [SV11: $i,SV3: $i] :
( ( ( ( SV3 != SV11 ) )
= $true )
| ( ( ~ ( greater @ SV3 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV12: $i,SV4: $i] :
( ( ( ~ ( greater @ SV4 @ SV12 ) )
= $true )
| ( ( ~ ( greater @ SV12 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV13: $i,SV5: $i] :
( ( ( ~ ( organization @ SV5 @ SV13 ) )
= $true )
| ( ( time @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(83,plain,
! [SV14: $i,SV6: $i] :
( ( ( ~ ( time @ SV6 )
| ~ ( time @ SV14 ) )
= $true )
| ( ( ( greater @ SV14 @ SV6 )
| ( SV6 = SV14 )
| ( greater @ SV6 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV19: $i,SV15: $i,SV7: $i] :
( ( ~ ( reorganization_free @ SV7 @ SV15 @ SV19 )
| ( reorganization_free @ SV7 @ SV19 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV20: $i,SV16: $i,SV8: $i] :
( ( ! [SY86: $i,SY87: $i] :
( ~ ( organization @ SV8 @ SY86 )
| ~ ( organization @ SV8 @ SY87 )
| ~ ( size @ SV8 @ SV16 @ SY86 )
| ~ ( size @ SV8 @ SV20 @ SY87 )
| ( SY86 != SY87 ) )
| ( SV16 = SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(86,plain,
! [SV17: $i,SV9: $i,SV1: $i] :
( ( ( ! [SY82: $i,SY83: $i] :
( ~ ( organization @ SV1 @ SY82 )
| ~ ( organization @ SV1 @ SY83 )
| ~ ( reorganization_free @ SV1 @ SY82 @ SY83 )
| ~ ( size @ SV1 @ SV9 @ SY82 )
| ~ ( size @ SV1 @ SV17 @ SY83 )
| ~ ( greater @ SY83 @ SY82 ) ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(87,plain,
! [SV18: $i,SV10: $i,SV2: $i] :
( ( ( ! [SY84: $i,SY85: $i] :
( ~ ( organization @ SV2 @ SY84 )
| ~ ( organization @ SV2 @ SY85 )
| ~ ( reorganization_free @ SV2 @ SY84 @ SY85 )
| ~ ( complexity @ SV2 @ SV10 @ SY84 )
| ~ ( complexity @ SV2 @ SV18 @ SY85 )
| ~ ( greater @ SY85 @ SY84 ) ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(88,plain,
! [SV11: $i,SV3: $i] :
( ( ( SV3 = SV11 )
= $false )
| ( ( ~ ( greater @ SV3 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(89,plain,
! [SV12: $i,SV4: $i] :
( ( ( greater @ SV4 @ SV12 )
= $false )
| ( ( ~ ( greater @ SV12 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(90,plain,
! [SV13: $i,SV5: $i] :
( ( ( organization @ SV5 @ SV13 )
= $false )
| ( ( time @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(91,plain,
! [SV14: $i,SV6: $i] :
( ( ( ~ ( time @ SV6 ) )
= $true )
| ( ( ~ ( time @ SV14 ) )
= $true )
| ( ( ( greater @ SV14 @ SV6 )
| ( SV6 = SV14 )
| ( greater @ SV6 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(92,plain,
! [SV19: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( reorganization_free @ SV7 @ SV15 @ SV19 ) )
= $true )
| ( ( reorganization_free @ SV7 @ SV19 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(93,plain,
! [SV20: $i,SV16: $i,SV8: $i] :
( ( ( ! [SY86: $i,SY87: $i] :
( ~ ( organization @ SV8 @ SY86 )
| ~ ( organization @ SV8 @ SY87 )
| ~ ( size @ SV8 @ SV16 @ SY86 )
| ~ ( size @ SV8 @ SV20 @ SY87 )
| ( SY86 != SY87 ) ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(94,plain,
! [SV17: $i,SV9: $i,SV21: $i,SV1: $i] :
( ( ( ! [SY88: $i] :
( ~ ( organization @ SV1 @ SV21 )
| ~ ( organization @ SV1 @ SY88 )
| ~ ( reorganization_free @ SV1 @ SV21 @ SY88 )
| ~ ( size @ SV1 @ SV9 @ SV21 )
| ~ ( size @ SV1 @ SV17 @ SY88 )
| ~ ( greater @ SY88 @ SV21 ) ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(95,plain,
! [SV18: $i,SV10: $i,SV22: $i,SV2: $i] :
( ( ( ! [SY89: $i] :
( ~ ( organization @ SV2 @ SV22 )
| ~ ( organization @ SV2 @ SY89 )
| ~ ( reorganization_free @ SV2 @ SV22 @ SY89 )
| ~ ( complexity @ SV2 @ SV10 @ SV22 )
| ~ ( complexity @ SV2 @ SV18 @ SY89 )
| ~ ( greater @ SY89 @ SV22 ) ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(96,plain,
! [SV11: $i,SV3: $i] :
( ( ( greater @ SV3 @ SV11 )
= $false )
| ( ( SV3 = SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(97,plain,
! [SV4: $i,SV12: $i] :
( ( ( greater @ SV12 @ SV4 )
= $false )
| ( ( greater @ SV4 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV14: $i,SV6: $i] :
( ( ( time @ SV6 )
= $false )
| ( ( ~ ( time @ SV14 ) )
= $true )
| ( ( ( greater @ SV14 @ SV6 )
| ( SV6 = SV14 )
| ( greater @ SV6 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(99,plain,
! [SV19: $i,SV15: $i,SV7: $i] :
( ( ( reorganization_free @ SV7 @ SV15 @ SV19 )
= $false )
| ( ( reorganization_free @ SV7 @ SV19 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(100,plain,
! [SV20: $i,SV16: $i,SV23: $i,SV8: $i] :
( ( ( ! [SY90: $i] :
( ~ ( organization @ SV8 @ SV23 )
| ~ ( organization @ SV8 @ SY90 )
| ~ ( size @ SV8 @ SV16 @ SV23 )
| ~ ( size @ SV8 @ SV20 @ SY90 )
| ( SV23 != SY90 ) ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(101,plain,
! [SV17: $i,SV9: $i,SV24: $i,SV21: $i,SV1: $i] :
( ( ( ~ ( organization @ SV1 @ SV21 )
| ~ ( organization @ SV1 @ SV24 )
| ~ ( reorganization_free @ SV1 @ SV21 @ SV24 )
| ~ ( size @ SV1 @ SV9 @ SV21 )
| ~ ( size @ SV1 @ SV17 @ SV24 )
| ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(102,plain,
! [SV18: $i,SV10: $i,SV25: $i,SV22: $i,SV2: $i] :
( ( ( ~ ( organization @ SV2 @ SV22 )
| ~ ( organization @ SV2 @ SV25 )
| ~ ( reorganization_free @ SV2 @ SV22 @ SV25 )
| ~ ( complexity @ SV2 @ SV10 @ SV22 )
| ~ ( complexity @ SV2 @ SV18 @ SV25 )
| ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(103,plain,
! [SV6: $i,SV14: $i] :
( ( ( time @ SV14 )
= $false )
| ( ( time @ SV6 )
= $false )
| ( ( ( greater @ SV14 @ SV6 )
| ( SV6 = SV14 )
| ( greater @ SV6 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(104,plain,
! [SV20: $i,SV16: $i,SV26: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( organization @ SV8 @ SV23 )
| ~ ( organization @ SV8 @ SV26 )
| ~ ( size @ SV8 @ SV16 @ SV23 )
| ~ ( size @ SV8 @ SV20 @ SV26 )
| ( SV23 != SV26 ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV17: $i,SV9: $i,SV24: $i,SV21: $i,SV1: $i] :
( ( ( ~ ( organization @ SV1 @ SV21 )
| ~ ( organization @ SV1 @ SV24 )
| ~ ( reorganization_free @ SV1 @ SV21 @ SV24 )
| ~ ( size @ SV1 @ SV9 @ SV21 )
| ~ ( size @ SV1 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV18: $i,SV10: $i,SV25: $i,SV22: $i,SV2: $i] :
( ( ( ~ ( organization @ SV2 @ SV22 )
| ~ ( organization @ SV2 @ SV25 )
| ~ ( reorganization_free @ SV2 @ SV22 @ SV25 )
| ~ ( complexity @ SV2 @ SV10 @ SV22 )
| ~ ( complexity @ SV2 @ SV18 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV6: $i,SV14: $i] :
( ( ( greater @ SV14 @ SV6 )
= $true )
| ( ( ( SV6 = SV14 )
| ( greater @ SV6 @ SV14 ) )
= $true )
| ( ( time @ SV6 )
= $false )
| ( ( time @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(108,plain,
! [SV20: $i,SV16: $i,SV26: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( organization @ SV8 @ SV23 )
| ~ ( organization @ SV8 @ SV26 )
| ~ ( size @ SV8 @ SV16 @ SV23 )
| ~ ( size @ SV8 @ SV20 @ SV26 ) )
= $true )
| ( ( ( SV23 != SV26 ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(109,plain,
! [SV17: $i,SV9: $i,SV24: $i,SV21: $i,SV1: $i] :
( ( ( ~ ( organization @ SV1 @ SV21 )
| ~ ( organization @ SV1 @ SV24 )
| ~ ( reorganization_free @ SV1 @ SV21 @ SV24 )
| ~ ( size @ SV1 @ SV9 @ SV21 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV18: $i,SV10: $i,SV25: $i,SV22: $i,SV2: $i] :
( ( ( ~ ( organization @ SV2 @ SV22 )
| ~ ( organization @ SV2 @ SV25 )
| ~ ( reorganization_free @ SV2 @ SV22 @ SV25 )
| ~ ( complexity @ SV2 @ SV10 @ SV22 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV18 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV14: $i,SV6: $i] :
( ( ( SV6 = SV14 )
= $true )
| ( ( greater @ SV6 @ SV14 )
= $true )
| ( ( greater @ SV14 @ SV6 )
= $true )
| ( ( time @ SV6 )
= $false )
| ( ( time @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV20: $i,SV16: $i,SV26: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( organization @ SV8 @ SV23 )
| ~ ( organization @ SV8 @ SV26 )
| ~ ( size @ SV8 @ SV16 @ SV23 ) )
= $true )
| ( ( ~ ( size @ SV8 @ SV20 @ SV26 ) )
= $true )
| ( ( ( SV23 != SV26 ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV17: $i,SV9: $i,SV24: $i,SV21: $i,SV1: $i] :
( ( ( ~ ( organization @ SV1 @ SV21 )
| ~ ( organization @ SV1 @ SV24 )
| ~ ( reorganization_free @ SV1 @ SV21 @ SV24 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV9 @ SV21 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV18: $i,SV10: $i,SV25: $i,SV22: $i,SV2: $i] :
( ( ( ~ ( organization @ SV2 @ SV22 )
| ~ ( organization @ SV2 @ SV25 )
| ~ ( reorganization_free @ SV2 @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV10 @ SV22 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV18 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV20: $i,SV16: $i,SV26: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( organization @ SV8 @ SV23 )
| ~ ( organization @ SV8 @ SV26 ) )
= $true )
| ( ( ~ ( size @ SV8 @ SV16 @ SV23 ) )
= $true )
| ( ( ~ ( size @ SV8 @ SV20 @ SV26 ) )
= $true )
| ( ( ( SV23 != SV26 ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(116,plain,
! [SV17: $i,SV9: $i,SV24: $i,SV21: $i,SV1: $i] :
( ( ( ~ ( organization @ SV1 @ SV21 )
| ~ ( organization @ SV1 @ SV24 ) )
= $true )
| ( ( ~ ( reorganization_free @ SV1 @ SV21 @ SV24 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV9 @ SV21 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(117,plain,
! [SV18: $i,SV10: $i,SV25: $i,SV22: $i,SV2: $i] :
( ( ( ~ ( organization @ SV2 @ SV22 )
| ~ ( organization @ SV2 @ SV25 ) )
= $true )
| ( ( ~ ( reorganization_free @ SV2 @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV10 @ SV22 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV18 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV20: $i,SV16: $i,SV26: $i,SV23: $i,SV8: $i] :
( ( ( ~ ( organization @ SV8 @ SV23 ) )
= $true )
| ( ( ~ ( organization @ SV8 @ SV26 ) )
= $true )
| ( ( ~ ( size @ SV8 @ SV16 @ SV23 ) )
= $true )
| ( ( ~ ( size @ SV8 @ SV20 @ SV26 ) )
= $true )
| ( ( ( SV23 != SV26 ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(119,plain,
! [SV17: $i,SV9: $i,SV24: $i,SV21: $i,SV1: $i] :
( ( ( ~ ( organization @ SV1 @ SV21 ) )
= $true )
| ( ( ~ ( organization @ SV1 @ SV24 ) )
= $true )
| ( ( ~ ( reorganization_free @ SV1 @ SV21 @ SV24 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV9 @ SV21 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(120,plain,
! [SV18: $i,SV10: $i,SV25: $i,SV22: $i,SV2: $i] :
( ( ( ~ ( organization @ SV2 @ SV22 ) )
= $true )
| ( ( ~ ( organization @ SV2 @ SV25 ) )
= $true )
| ( ( ~ ( reorganization_free @ SV2 @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV10 @ SV22 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV18 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(121,plain,
! [SV20: $i,SV16: $i,SV26: $i,SV23: $i,SV8: $i] :
( ( ( organization @ SV8 @ SV23 )
= $false )
| ( ( ~ ( organization @ SV8 @ SV26 ) )
= $true )
| ( ( ~ ( size @ SV8 @ SV16 @ SV23 ) )
= $true )
| ( ( ~ ( size @ SV8 @ SV20 @ SV26 ) )
= $true )
| ( ( ( SV23 != SV26 ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(122,plain,
! [SV17: $i,SV9: $i,SV24: $i,SV21: $i,SV1: $i] :
( ( ( organization @ SV1 @ SV21 )
= $false )
| ( ( ~ ( organization @ SV1 @ SV24 ) )
= $true )
| ( ( ~ ( reorganization_free @ SV1 @ SV21 @ SV24 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV9 @ SV21 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(123,plain,
! [SV18: $i,SV10: $i,SV25: $i,SV22: $i,SV2: $i] :
( ( ( organization @ SV2 @ SV22 )
= $false )
| ( ( ~ ( organization @ SV2 @ SV25 ) )
= $true )
| ( ( ~ ( reorganization_free @ SV2 @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV10 @ SV22 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV18 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(124,plain,
! [SV20: $i,SV16: $i,SV23: $i,SV26: $i,SV8: $i] :
( ( ( organization @ SV8 @ SV26 )
= $false )
| ( ( organization @ SV8 @ SV23 )
= $false )
| ( ( ~ ( size @ SV8 @ SV16 @ SV23 ) )
= $true )
| ( ( ~ ( size @ SV8 @ SV20 @ SV26 ) )
= $true )
| ( ( ( SV23 != SV26 ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(125,plain,
! [SV17: $i,SV9: $i,SV21: $i,SV24: $i,SV1: $i] :
( ( ( organization @ SV1 @ SV24 )
= $false )
| ( ( organization @ SV1 @ SV21 )
= $false )
| ( ( ~ ( reorganization_free @ SV1 @ SV21 @ SV24 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV9 @ SV21 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(126,plain,
! [SV18: $i,SV10: $i,SV22: $i,SV25: $i,SV2: $i] :
( ( ( organization @ SV2 @ SV25 )
= $false )
| ( ( organization @ SV2 @ SV22 )
= $false )
| ( ( ~ ( reorganization_free @ SV2 @ SV22 @ SV25 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV10 @ SV22 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV18 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(127,plain,
! [SV20: $i,SV26: $i,SV23: $i,SV16: $i,SV8: $i] :
( ( ( size @ SV8 @ SV16 @ SV23 )
= $false )
| ( ( organization @ SV8 @ SV23 )
= $false )
| ( ( organization @ SV8 @ SV26 )
= $false )
| ( ( ~ ( size @ SV8 @ SV20 @ SV26 ) )
= $true )
| ( ( ( SV23 != SV26 ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(128,plain,
! [SV17: $i,SV9: $i,SV24: $i,SV21: $i,SV1: $i] :
( ( ( reorganization_free @ SV1 @ SV21 @ SV24 )
= $false )
| ( ( organization @ SV1 @ SV21 )
= $false )
| ( ( organization @ SV1 @ SV24 )
= $false )
| ( ( ~ ( size @ SV1 @ SV9 @ SV21 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(129,plain,
! [SV18: $i,SV10: $i,SV25: $i,SV22: $i,SV2: $i] :
( ( ( reorganization_free @ SV2 @ SV22 @ SV25 )
= $false )
| ( ( organization @ SV2 @ SV22 )
= $false )
| ( ( organization @ SV2 @ SV25 )
= $false )
| ( ( ~ ( complexity @ SV2 @ SV10 @ SV22 ) )
= $true )
| ( ( ~ ( complexity @ SV2 @ SV18 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(130,plain,
! [SV16: $i,SV23: $i,SV26: $i,SV20: $i,SV8: $i] :
( ( ( size @ SV8 @ SV20 @ SV26 )
= $false )
| ( ( organization @ SV8 @ SV26 )
= $false )
| ( ( organization @ SV8 @ SV23 )
= $false )
| ( ( size @ SV8 @ SV16 @ SV23 )
= $false )
| ( ( ( SV23 != SV26 ) )
= $true )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(131,plain,
! [SV17: $i,SV24: $i,SV21: $i,SV9: $i,SV1: $i] :
( ( ( size @ SV1 @ SV9 @ SV21 )
= $false )
| ( ( organization @ SV1 @ SV24 )
= $false )
| ( ( organization @ SV1 @ SV21 )
= $false )
| ( ( reorganization_free @ SV1 @ SV21 @ SV24 )
= $false )
| ( ( ~ ( size @ SV1 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(132,plain,
! [SV18: $i,SV25: $i,SV22: $i,SV10: $i,SV2: $i] :
( ( ( complexity @ SV2 @ SV10 @ SV22 )
= $false )
| ( ( organization @ SV2 @ SV25 )
= $false )
| ( ( organization @ SV2 @ SV22 )
= $false )
| ( ( reorganization_free @ SV2 @ SV22 @ SV25 )
= $false )
| ( ( ~ ( complexity @ SV2 @ SV18 @ SV25 ) )
= $true )
| ( ( ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(133,plain,
! [SV20: $i,SV16: $i,SV8: $i,SV26: $i,SV23: $i] :
( ( ( SV23 = SV26 )
= $false )
| ( ( size @ SV8 @ SV16 @ SV23 )
= $false )
| ( ( organization @ SV8 @ SV23 )
= $false )
| ( ( organization @ SV8 @ SV26 )
= $false )
| ( ( size @ SV8 @ SV20 @ SV26 )
= $false )
| ( ( SV16 = SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(134,plain,
! [SV9: $i,SV21: $i,SV24: $i,SV17: $i,SV1: $i] :
( ( ( size @ SV1 @ SV17 @ SV24 )
= $false )
| ( ( reorganization_free @ SV1 @ SV21 @ SV24 )
= $false )
| ( ( organization @ SV1 @ SV21 )
= $false )
| ( ( organization @ SV1 @ SV24 )
= $false )
| ( ( size @ SV1 @ SV9 @ SV21 )
= $false )
| ( ( ~ ( greater @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(135,plain,
! [SV10: $i,SV22: $i,SV25: $i,SV18: $i,SV2: $i] :
( ( ( complexity @ SV2 @ SV18 @ SV25 )
= $false )
| ( ( reorganization_free @ SV2 @ SV22 @ SV25 )
= $false )
| ( ( organization @ SV2 @ SV22 )
= $false )
| ( ( organization @ SV2 @ SV25 )
= $false )
| ( ( complexity @ SV2 @ SV10 @ SV22 )
= $false )
| ( ( ~ ( greater @ SV25 @ SV22 ) )
= $true )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(136,plain,
! [SV17: $i,SV9: $i,SV1: $i,SV21: $i,SV24: $i] :
( ( ( greater @ SV24 @ SV21 )
= $false )
| ( ( size @ SV1 @ SV9 @ SV21 )
= $false )
| ( ( organization @ SV1 @ SV24 )
= $false )
| ( ( organization @ SV1 @ SV21 )
= $false )
| ( ( reorganization_free @ SV1 @ SV21 @ SV24 )
= $false )
| ( ( size @ SV1 @ SV17 @ SV24 )
= $false )
| ( ( ~ ( greater @ SV9 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(137,plain,
! [SV18: $i,SV10: $i,SV2: $i,SV22: $i,SV25: $i] :
( ( ( greater @ SV25 @ SV22 )
= $false )
| ( ( complexity @ SV2 @ SV10 @ SV22 )
= $false )
| ( ( organization @ SV2 @ SV25 )
= $false )
| ( ( organization @ SV2 @ SV22 )
= $false )
| ( ( reorganization_free @ SV2 @ SV22 @ SV25 )
= $false )
| ( ( complexity @ SV2 @ SV18 @ SV25 )
= $false )
| ( ( ~ ( greater @ SV10 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(138,plain,
! [SV21: $i,SV24: $i,SV1: $i,SV17: $i,SV9: $i] :
( ( ( greater @ SV9 @ SV17 )
= $false )
| ( ( size @ SV1 @ SV17 @ SV24 )
= $false )
| ( ( reorganization_free @ SV1 @ SV21 @ SV24 )
= $false )
| ( ( organization @ SV1 @ SV21 )
= $false )
| ( ( organization @ SV1 @ SV24 )
= $false )
| ( ( size @ SV1 @ SV9 @ SV21 )
= $false )
| ( ( greater @ SV24 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(139,plain,
! [SV22: $i,SV25: $i,SV2: $i,SV18: $i,SV10: $i] :
( ( ( greater @ SV10 @ SV18 )
= $false )
| ( ( complexity @ SV2 @ SV18 @ SV25 )
= $false )
| ( ( reorganization_free @ SV2 @ SV22 @ SV25 )
= $false )
| ( ( organization @ SV2 @ SV22 )
= $false )
| ( ( organization @ SV2 @ SV25 )
= $false )
| ( ( complexity @ SV2 @ SV10 @ SV22 )
= $false )
| ( ( greater @ SV25 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(140,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[53,139,138,133,111,99,97,96,90,61,60,59,58,57,56,55,54]) ).
thf(141,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT014+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 11:32:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.36
% 0.19/0.36 No.of.Axioms: 8
% 0.19/0.36
% 0.19/0.36 Length.of.Defs: 0
% 0.19/0.36
% 0.19/0.36 Contains.Choice.Funs: false
% 0.19/0.39 (rf:0,axioms:8,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:10,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.19/0.50
% 0.19/0.50 ********************************
% 0.19/0.50 * All subproblems solved! *
% 0.19/0.50 ********************************
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,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:140,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.51
% 0.19/0.51 %**** Beginning of derivation protocol ****
% 0.19/0.51 % SZS output start CNFRefutation
% See solution above
% 0.19/0.51
% 0.19/0.51 %**** End of derivation protocol ****
% 0.19/0.51 %**** no. of clauses in derivation: 141 ****
% 0.19/0.51 %**** clause counter: 140 ****
% 0.19/0.51
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,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:140,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------