TSTP Solution File: MGT011-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MGT011-1 : 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 : n024.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 22:17:07 EDT 2022
% Result : Unsatisfiable 0.35s 0.53s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 28
% Syntax : Number of formulae : 144 ( 68 unt; 13 typ; 0 def)
% Number of atoms : 1290 ( 342 equ; 0 cnn)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 2513 ( 373 ~; 531 |; 0 &;1609 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 541 ( 0 ^ 541 !; 0 ?; 541 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_class,type,
class: $i > $i > $i > $o ).
thf(tp_greater,type,
greater: $i > $i > $o ).
thf(tp_inertia,type,
inertia: $i > $i > $i > $o ).
thf(tp_organization,type,
organization: $i > $i > $o ).
thf(tp_reorganization_free,type,
reorganization_free: $i > $i > $i > $o ).
thf(tp_size,type,
size: $i > $i > $i > $o ).
thf(tp_sk1,type,
sk1: $i > $i > $i ).
thf(tp_sk2,type,
sk2: $i > $i > $i ).
thf(tp_sk3,type,
sk3: $i ).
thf(tp_sk4,type,
sk4: $i ).
thf(tp_sk5,type,
sk5: $i ).
thf(tp_sk6,type,
sk6: $i ).
thf(tp_sk7,type,
sk7: $i ).
thf(1,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( class @ A @ D @ B )
| ~ ( class @ A @ E @ C )
| ( D = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp10_24) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ~ ( organization @ A @ B )
| ( class @ A @ ( sk2 @ B @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp9_23) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_22) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1_21) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ~ ( organization @ A @ B )
| ( inertia @ A @ ( sk1 @ B @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_20) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( inertia @ A @ D @ B )
| ~ ( inertia @ A @ E @ C )
| ~ ( greater @ C @ B )
| ( greater @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_26) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ D )
| ~ ( size @ A @ F @ B )
| ~ ( size @ C @ G @ D )
| ~ ( inertia @ A @ H @ B )
| ~ ( inertia @ C @ I @ D )
| ~ ( greater @ G @ F )
| ( greater @ I @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL_25) ).
thf(8,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(9,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,negated_conjecture,
greater @ sk4 @ sk5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_33) ).
thf(11,negated_conjecture,
greater @ sk7 @ sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_32) ).
thf(12,negated_conjecture,
size @ sk3 @ sk5 @ sk7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_31) ).
thf(13,negated_conjecture,
size @ sk3 @ sk4 @ sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_30) ).
thf(14,negated_conjecture,
reorganization_free @ sk3 @ sk6 @ sk7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_29) ).
thf(15,negated_conjecture,
organization @ sk3 @ sk7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_28) ).
thf(16,negated_conjecture,
organization @ sk3 @ sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_27) ).
thf(17,plain,
$false = $false,
inference(unfold_def,[status(thm)],[9]) ).
thf(18,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( class @ A @ D @ B )
| ~ ( class @ A @ E @ C )
| ( D = E ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(19,plain,
( ( ! [A: $i,B: $i] :
( ~ ( organization @ A @ B )
| ( class @ A @ ( sk2 @ B @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(20,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(21,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(22,plain,
( ( ! [A: $i,B: $i] :
( ~ ( organization @ A @ B )
| ( inertia @ A @ ( sk1 @ B @ A ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(23,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( inertia @ A @ D @ B )
| ~ ( inertia @ A @ E @ C )
| ~ ( greater @ C @ B )
| ( greater @ E @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(24,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ D )
| ~ ( size @ A @ F @ B )
| ~ ( size @ C @ G @ D )
| ~ ( inertia @ A @ H @ B )
| ~ ( inertia @ C @ I @ D )
| ~ ( greater @ G @ F )
| ( greater @ I @ H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(25,plain,
( ( greater @ sk4 @ sk5 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(26,plain,
( ( greater @ sk7 @ sk6 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(27,plain,
( ( size @ sk3 @ sk5 @ sk7 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(28,plain,
( ( size @ sk3 @ sk4 @ sk6 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(29,plain,
( ( reorganization_free @ sk3 @ sk6 @ sk7 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(30,plain,
( ( organization @ sk3 @ sk7 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(31,plain,
( ( organization @ sk3 @ sk6 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(32,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(33,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ! [D: $i] :
( ~ ( class @ A @ D @ B )
| ! [E: $i] :
( ~ ( class @ A @ E @ C )
| ( D = E ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(35,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ! [D: $i] :
( ~ ( inertia @ A @ D @ B )
| ! [E: $i] :
( ~ ( inertia @ A @ E @ C )
| ~ ( greater @ C @ B )
| ( greater @ E @ D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(36,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ D )
| ~ ( size @ A @ F @ B )
| ~ ( size @ C @ G @ D )
| ! [H: $i] :
( ~ ( inertia @ A @ H @ B )
| ! [I: $i] :
( ~ ( inertia @ C @ I @ D )
| ~ ( greater @ G @ F )
| ( greater @ I @ H ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(37,plain,
( ( organization @ sk3 @ sk6 )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(38,plain,
( ( organization @ sk3 @ sk7 )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(39,plain,
( ( reorganization_free @ sk3 @ sk6 @ sk7 )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(40,plain,
( ( size @ sk3 @ sk4 @ sk6 )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(41,plain,
( ( size @ sk3 @ sk5 @ sk7 )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(42,plain,
( ( greater @ sk7 @ sk6 )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(43,plain,
( ( greater @ sk4 @ sk5 )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(44,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ D )
| ~ ( size @ A @ F @ B )
| ~ ( size @ C @ G @ D )
| ! [H: $i] :
( ~ ( inertia @ A @ H @ B )
| ! [I: $i] :
( ~ ( inertia @ C @ I @ D )
| ~ ( greater @ G @ F )
| ( greater @ I @ H ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(45,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ! [D: $i] :
( ~ ( inertia @ A @ D @ B )
| ! [E: $i] :
( ~ ( inertia @ A @ E @ C )
| ~ ( greater @ C @ B )
| ( greater @ E @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
( ~ ( organization @ A @ B )
| ( inertia @ A @ ( sk1 @ B @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(48,plain,
( ( ! [A: $i,B: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ~ ( organization @ A @ B )
| ( class @ A @ ( sk2 @ B @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(50,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ! [D: $i] :
( ~ ( class @ A @ D @ B )
| ! [E: $i] :
( ~ ( class @ A @ E @ C )
| ( D = E ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(51,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(52,plain,
! [SV1: $i] :
( ( ! [SY27: $i,SY28: $i,SY29: $i,SY30: $i,SY31: $i,SY32: $i] :
( ~ ( organization @ SV1 @ SY27 )
| ~ ( organization @ SY28 @ SY29 )
| ~ ( class @ SV1 @ SY30 @ SY27 )
| ~ ( class @ SY28 @ SY30 @ SY29 )
| ~ ( size @ SV1 @ SY31 @ SY27 )
| ~ ( size @ SY28 @ SY32 @ SY29 )
| ! [SY33: $i] :
( ~ ( inertia @ SV1 @ SY33 @ SY27 )
| ! [I: $i] :
( ~ ( inertia @ SY28 @ I @ SY29 )
| ~ ( greater @ SY32 @ SY31 )
| ( greater @ I @ SY33 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(53,plain,
! [SV2: $i] :
( ( ! [SY35: $i,SY36: $i] :
( ~ ( organization @ SV2 @ SY35 )
| ~ ( organization @ SV2 @ SY36 )
| ~ ( reorganization_free @ SV2 @ SY35 @ SY36 )
| ! [SY37: $i] :
( ~ ( inertia @ SV2 @ SY37 @ SY35 )
| ! [SY38: $i] :
( ~ ( inertia @ SV2 @ SY38 @ SY36 )
| ~ ( greater @ SY36 @ SY35 )
| ( greater @ SY38 @ SY37 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV3: $i] :
( ( ! [SY39: $i] :
( ~ ( organization @ SV3 @ SY39 )
| ( inertia @ SV3 @ ( sk1 @ SY39 @ SV3 ) @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(55,plain,
! [SV4: $i] :
( ( ! [SY40: $i] :
( ~ ( greater @ SV4 @ SY40 )
| ( SV4 != SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV5: $i] :
( ( ! [SY41: $i] :
( ~ ( greater @ SV5 @ SY41 )
| ~ ( greater @ SY41 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV6: $i] :
( ( ! [SY42: $i] :
( ~ ( organization @ SV6 @ SY42 )
| ( class @ SV6 @ ( sk2 @ SY42 @ SV6 ) @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV7: $i] :
( ( ! [SY43: $i,SY44: $i] :
( ~ ( organization @ SV7 @ SY43 )
| ~ ( organization @ SV7 @ SY44 )
| ~ ( reorganization_free @ SV7 @ SY43 @ SY44 )
| ! [SY45: $i] :
( ~ ( class @ SV7 @ SY45 @ SY43 )
| ! [SY46: $i] :
( ~ ( class @ SV7 @ SY46 @ SY44 )
| ( SY45 = SY46 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(59,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV8: $i,SV1: $i] :
( ( ! [SY47: $i,SY48: $i,SY49: $i,SY50: $i,SY51: $i] :
( ~ ( organization @ SV1 @ SV8 )
| ~ ( organization @ SY47 @ SY48 )
| ~ ( class @ SV1 @ SY49 @ SV8 )
| ~ ( class @ SY47 @ SY49 @ SY48 )
| ~ ( size @ SV1 @ SY50 @ SV8 )
| ~ ( size @ SY47 @ SY51 @ SY48 )
| ! [SY52: $i] :
( ~ ( inertia @ SV1 @ SY52 @ SV8 )
| ! [I: $i] :
( ~ ( inertia @ SY47 @ I @ SY48 )
| ~ ( greater @ SY51 @ SY50 )
| ( greater @ I @ SY52 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV9: $i,SV2: $i] :
( ( ! [SY54: $i] :
( ~ ( organization @ SV2 @ SV9 )
| ~ ( organization @ SV2 @ SY54 )
| ~ ( reorganization_free @ SV2 @ SV9 @ SY54 )
| ! [SY55: $i] :
( ~ ( inertia @ SV2 @ SY55 @ SV9 )
| ! [SY56: $i] :
( ~ ( inertia @ SV2 @ SY56 @ SY54 )
| ~ ( greater @ SY54 @ SV9 )
| ( greater @ SY56 @ SY55 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(62,plain,
! [SV10: $i,SV3: $i] :
( ( ~ ( organization @ SV3 @ SV10 )
| ( inertia @ SV3 @ ( sk1 @ SV10 @ SV3 ) @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV11: $i,SV4: $i] :
( ( ~ ( greater @ SV4 @ SV11 )
| ( SV4 != SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV12: $i,SV5: $i] :
( ( ~ ( greater @ SV5 @ SV12 )
| ~ ( greater @ SV12 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV13: $i,SV6: $i] :
( ( ~ ( organization @ SV6 @ SV13 )
| ( class @ SV6 @ ( sk2 @ SV13 @ SV6 ) @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV14: $i,SV7: $i] :
( ( ! [SY57: $i] :
( ~ ( organization @ SV7 @ SV14 )
| ~ ( organization @ SV7 @ SY57 )
| ~ ( reorganization_free @ SV7 @ SV14 @ SY57 )
| ! [SY58: $i] :
( ~ ( class @ SV7 @ SY58 @ SV14 )
| ! [SY46: $i] :
( ~ ( class @ SV7 @ SY46 @ SY57 )
| ( SY58 = SY46 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(67,plain,
! [SV15: $i,SV8: $i,SV1: $i] :
( ( ! [SY60: $i,SY61: $i,SY62: $i,SY63: $i] :
( ~ ( organization @ SV1 @ SV8 )
| ~ ( organization @ SV15 @ SY60 )
| ~ ( class @ SV1 @ SY61 @ SV8 )
| ~ ( class @ SV15 @ SY61 @ SY60 )
| ~ ( size @ SV1 @ SY62 @ SV8 )
| ~ ( size @ SV15 @ SY63 @ SY60 )
| ! [SY64: $i] :
( ~ ( inertia @ SV1 @ SY64 @ SV8 )
| ! [SY65: $i] :
( ~ ( inertia @ SV15 @ SY65 @ SY60 )
| ~ ( greater @ SY63 @ SY62 )
| ( greater @ SY65 @ SY64 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV16: $i,SV9: $i,SV2: $i] :
( ( ~ ( organization @ SV2 @ SV9 )
| ~ ( organization @ SV2 @ SV16 )
| ~ ( reorganization_free @ SV2 @ SV9 @ SV16 )
| ! [SY66: $i] :
( ~ ( inertia @ SV2 @ SY66 @ SV9 )
| ! [SY67: $i] :
( ~ ( inertia @ SV2 @ SY67 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SY67 @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV10: $i,SV3: $i] :
( ( ( ~ ( organization @ SV3 @ SV10 ) )
= $true )
| ( ( inertia @ SV3 @ ( sk1 @ SV10 @ SV3 ) @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV11: $i,SV4: $i] :
( ( ( ~ ( greater @ SV4 @ SV11 ) )
= $true )
| ( ( ( SV4 != SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ( greater @ SV5 @ SV12 ) )
= $true )
| ( ( ~ ( greater @ SV12 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV13: $i,SV6: $i] :
( ( ( ~ ( organization @ SV6 @ SV13 ) )
= $true )
| ( ( class @ SV6 @ ( sk2 @ SV13 @ SV6 ) @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV17: $i,SV14: $i,SV7: $i] :
( ( ~ ( organization @ SV7 @ SV14 )
| ~ ( organization @ SV7 @ SV17 )
| ~ ( reorganization_free @ SV7 @ SV14 @ SV17 )
| ! [SY68: $i] :
( ~ ( class @ SV7 @ SY68 @ SV14 )
| ! [SY69: $i] :
( ~ ( class @ SV7 @ SY69 @ SV17 )
| ( SY68 = SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV18: $i,SV15: $i,SV8: $i,SV1: $i] :
( ( ! [SY70: $i,SY71: $i,SY72: $i] :
( ~ ( organization @ SV1 @ SV8 )
| ~ ( organization @ SV15 @ SV18 )
| ~ ( class @ SV1 @ SY70 @ SV8 )
| ~ ( class @ SV15 @ SY70 @ SV18 )
| ~ ( size @ SV1 @ SY71 @ SV8 )
| ~ ( size @ SV15 @ SY72 @ SV18 )
| ! [SY73: $i] :
( ~ ( inertia @ SV1 @ SY73 @ SV8 )
| ! [SY74: $i] :
( ~ ( inertia @ SV15 @ SY74 @ SV18 )
| ~ ( greater @ SY72 @ SY71 )
| ( greater @ SY74 @ SY73 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV16: $i,SV9: $i,SV2: $i] :
( ( ( ~ ( organization @ SV2 @ SV9 ) )
= $true )
| ( ( ~ ( organization @ SV2 @ SV16 )
| ~ ( reorganization_free @ SV2 @ SV9 @ SV16 )
| ! [SY66: $i] :
( ~ ( inertia @ SV2 @ SY66 @ SV9 )
| ! [SY67: $i] :
( ~ ( inertia @ SV2 @ SY67 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SY67 @ SY66 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV10: $i,SV3: $i] :
( ( ( organization @ SV3 @ SV10 )
= $false )
| ( ( inertia @ SV3 @ ( sk1 @ SV10 @ SV3 ) @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV11: $i,SV4: $i] :
( ( ( greater @ SV4 @ SV11 )
= $false )
| ( ( ( SV4 != SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(78,plain,
! [SV12: $i,SV5: $i] :
( ( ( greater @ SV5 @ SV12 )
= $false )
| ( ( ~ ( greater @ SV12 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV13: $i,SV6: $i] :
( ( ( organization @ SV6 @ SV13 )
= $false )
| ( ( class @ SV6 @ ( sk2 @ SV13 @ SV6 ) @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(80,plain,
! [SV17: $i,SV14: $i,SV7: $i] :
( ( ( ~ ( organization @ SV7 @ SV14 ) )
= $true )
| ( ( ~ ( organization @ SV7 @ SV17 )
| ~ ( reorganization_free @ SV7 @ SV14 @ SV17 )
| ! [SY68: $i] :
( ~ ( class @ SV7 @ SY68 @ SV14 )
| ! [SY69: $i] :
( ~ ( class @ SV7 @ SY69 @ SV17 )
| ( SY68 = SY69 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(81,plain,
! [SV19: $i,SV18: $i,SV15: $i,SV8: $i,SV1: $i] :
( ( ! [SY75: $i,SY76: $i] :
( ~ ( organization @ SV1 @ SV8 )
| ~ ( organization @ SV15 @ SV18 )
| ~ ( class @ SV1 @ SV19 @ SV8 )
| ~ ( class @ SV15 @ SV19 @ SV18 )
| ~ ( size @ SV1 @ SY75 @ SV8 )
| ~ ( size @ SV15 @ SY76 @ SV18 )
| ! [SY73: $i] :
( ~ ( inertia @ SV1 @ SY73 @ SV8 )
| ! [SY74: $i] :
( ~ ( inertia @ SV15 @ SY74 @ SV18 )
| ~ ( greater @ SY76 @ SY75 )
| ( greater @ SY74 @ SY73 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(82,plain,
! [SV16: $i,SV9: $i,SV2: $i] :
( ( ( organization @ SV2 @ SV9 )
= $false )
| ( ( ~ ( organization @ SV2 @ SV16 )
| ~ ( reorganization_free @ SV2 @ SV9 @ SV16 )
| ! [SY66: $i] :
( ~ ( inertia @ SV2 @ SY66 @ SV9 )
| ! [SY67: $i] :
( ~ ( inertia @ SV2 @ SY67 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SY67 @ SY66 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(83,plain,
! [SV11: $i,SV4: $i] :
( ( ( SV4 = SV11 )
= $false )
| ( ( greater @ SV4 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(84,plain,
! [SV5: $i,SV12: $i] :
( ( ( greater @ SV12 @ SV5 )
= $false )
| ( ( greater @ SV5 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV17: $i,SV14: $i,SV7: $i] :
( ( ( organization @ SV7 @ SV14 )
= $false )
| ( ( ~ ( organization @ SV7 @ SV17 )
| ~ ( reorganization_free @ SV7 @ SV14 @ SV17 )
| ! [SY68: $i] :
( ~ ( class @ SV7 @ SY68 @ SV14 )
| ! [SY69: $i] :
( ~ ( class @ SV7 @ SY69 @ SV17 )
| ( SY68 = SY69 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(86,plain,
! [SV20: $i,SV19: $i,SV18: $i,SV15: $i,SV8: $i,SV1: $i] :
( ( ! [SY79: $i] :
( ~ ( organization @ SV1 @ SV8 )
| ~ ( organization @ SV15 @ SV18 )
| ~ ( class @ SV1 @ SV19 @ SV8 )
| ~ ( class @ SV15 @ SV19 @ SV18 )
| ~ ( size @ SV1 @ SV20 @ SV8 )
| ~ ( size @ SV15 @ SY79 @ SV18 )
| ! [SY80: $i] :
( ~ ( inertia @ SV1 @ SY80 @ SV8 )
| ! [SY81: $i] :
( ~ ( inertia @ SV15 @ SY81 @ SV18 )
| ~ ( greater @ SY79 @ SV20 )
| ( greater @ SY81 @ SY80 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV9: $i,SV16: $i,SV2: $i] :
( ( ( ~ ( organization @ SV2 @ SV16 ) )
= $true )
| ( ( ~ ( reorganization_free @ SV2 @ SV9 @ SV16 )
| ! [SY66: $i] :
( ~ ( inertia @ SV2 @ SY66 @ SV9 )
| ! [SY67: $i] :
( ~ ( inertia @ SV2 @ SY67 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SY67 @ SY66 ) ) ) )
= $true )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(88,plain,
! [SV14: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( organization @ SV7 @ SV17 ) )
= $true )
| ( ( ~ ( reorganization_free @ SV7 @ SV14 @ SV17 )
| ! [SY68: $i] :
( ~ ( class @ SV7 @ SY68 @ SV14 )
| ! [SY69: $i] :
( ~ ( class @ SV7 @ SY69 @ SV17 )
| ( SY68 = SY69 ) ) ) )
= $true )
| ( ( organization @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(89,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i,SV15: $i,SV8: $i,SV1: $i] :
( ( ~ ( organization @ SV1 @ SV8 )
| ~ ( organization @ SV15 @ SV18 )
| ~ ( class @ SV1 @ SV19 @ SV8 )
| ~ ( class @ SV15 @ SV19 @ SV18 )
| ~ ( size @ SV1 @ SV20 @ SV8 )
| ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(90,plain,
! [SV9: $i,SV16: $i,SV2: $i] :
( ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( ~ ( reorganization_free @ SV2 @ SV9 @ SV16 )
| ! [SY66: $i] :
( ~ ( inertia @ SV2 @ SY66 @ SV9 )
| ! [SY67: $i] :
( ~ ( inertia @ SV2 @ SY67 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SY67 @ SY66 ) ) ) )
= $true )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(91,plain,
! [SV14: $i,SV17: $i,SV7: $i] :
( ( ( organization @ SV7 @ SV17 )
= $false )
| ( ( ~ ( reorganization_free @ SV7 @ SV14 @ SV17 )
| ! [SY68: $i] :
( ~ ( class @ SV7 @ SY68 @ SV14 )
| ! [SY69: $i] :
( ~ ( class @ SV7 @ SY69 @ SV17 )
| ( SY68 = SY69 ) ) ) )
= $true )
| ( ( organization @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(92,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i,SV15: $i,SV8: $i,SV1: $i] :
( ( ( ~ ( organization @ SV1 @ SV8 ) )
= $true )
| ( ( ~ ( organization @ SV15 @ SV18 )
| ~ ( class @ SV1 @ SV19 @ SV8 )
| ~ ( class @ SV15 @ SV19 @ SV18 )
| ~ ( size @ SV1 @ SV20 @ SV8 )
| ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(93,plain,
! [SV16: $i,SV9: $i,SV2: $i] :
( ( ( ~ ( reorganization_free @ SV2 @ SV9 @ SV16 ) )
= $true )
| ( ( ! [SY66: $i] :
( ~ ( inertia @ SV2 @ SY66 @ SV9 )
| ! [SY67: $i] :
( ~ ( inertia @ SV2 @ SY67 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SY67 @ SY66 ) ) ) )
= $true )
| ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(94,plain,
! [SV17: $i,SV14: $i,SV7: $i] :
( ( ( ~ ( reorganization_free @ SV7 @ SV14 @ SV17 ) )
= $true )
| ( ( ! [SY68: $i] :
( ~ ( class @ SV7 @ SY68 @ SV14 )
| ! [SY69: $i] :
( ~ ( class @ SV7 @ SY69 @ SV17 )
| ( SY68 = SY69 ) ) ) )
= $true )
| ( ( organization @ SV7 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(95,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i,SV15: $i,SV8: $i,SV1: $i] :
( ( ( organization @ SV1 @ SV8 )
= $false )
| ( ( ~ ( organization @ SV15 @ SV18 )
| ~ ( class @ SV1 @ SV19 @ SV8 )
| ~ ( class @ SV15 @ SV19 @ SV18 )
| ~ ( size @ SV1 @ SV20 @ SV8 )
| ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(96,plain,
! [SV16: $i,SV9: $i,SV2: $i] :
( ( ( reorganization_free @ SV2 @ SV9 @ SV16 )
= $false )
| ( ( ! [SY66: $i] :
( ~ ( inertia @ SV2 @ SY66 @ SV9 )
| ! [SY67: $i] :
( ~ ( inertia @ SV2 @ SY67 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SY67 @ SY66 ) ) ) )
= $true )
| ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(97,plain,
! [SV17: $i,SV14: $i,SV7: $i] :
( ( ( reorganization_free @ SV7 @ SV14 @ SV17 )
= $false )
| ( ( ! [SY68: $i] :
( ~ ( class @ SV7 @ SY68 @ SV14 )
| ! [SY69: $i] :
( ~ ( class @ SV7 @ SY69 @ SV17 )
| ( SY68 = SY69 ) ) ) )
= $true )
| ( ( organization @ SV7 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(98,plain,
! [SV21: $i,SV20: $i,SV8: $i,SV19: $i,SV1: $i,SV18: $i,SV15: $i] :
( ( ( ~ ( organization @ SV15 @ SV18 ) )
= $true )
| ( ( ~ ( class @ SV1 @ SV19 @ SV8 )
| ~ ( class @ SV15 @ SV19 @ SV18 )
| ~ ( size @ SV1 @ SV20 @ SV8 )
| ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(99,plain,
! [SV16: $i,SV9: $i,SV22: $i,SV2: $i] :
( ( ( ~ ( inertia @ SV2 @ SV22 @ SV9 )
| ! [SY84: $i] :
( ~ ( inertia @ SV2 @ SY84 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SY84 @ SV22 ) ) )
= $true )
| ( ( reorganization_free @ SV2 @ SV9 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(100,plain,
! [SV17: $i,SV14: $i,SV23: $i,SV7: $i] :
( ( ( ~ ( class @ SV7 @ SV23 @ SV14 )
| ! [SY85: $i] :
( ~ ( class @ SV7 @ SY85 @ SV17 )
| ( SV23 = SY85 ) ) )
= $true )
| ( ( reorganization_free @ SV7 @ SV14 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(101,plain,
! [SV21: $i,SV20: $i,SV8: $i,SV19: $i,SV1: $i,SV18: $i,SV15: $i] :
( ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( ~ ( class @ SV1 @ SV19 @ SV8 )
| ~ ( class @ SV15 @ SV19 @ SV18 )
| ~ ( size @ SV1 @ SV20 @ SV8 )
| ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(102,plain,
! [SV16: $i,SV9: $i,SV22: $i,SV2: $i] :
( ( ( ~ ( inertia @ SV2 @ SV22 @ SV9 ) )
= $true )
| ( ( ! [SY84: $i] :
( ~ ( inertia @ SV2 @ SY84 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SY84 @ SV22 ) ) )
= $true )
| ( ( reorganization_free @ SV2 @ SV9 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(103,plain,
! [SV17: $i,SV14: $i,SV23: $i,SV7: $i] :
( ( ( ~ ( class @ SV7 @ SV23 @ SV14 ) )
= $true )
| ( ( ! [SY85: $i] :
( ~ ( class @ SV7 @ SY85 @ SV17 )
| ( SV23 = SY85 ) ) )
= $true )
| ( ( reorganization_free @ SV7 @ SV14 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(104,plain,
! [SV21: $i,SV20: $i,SV18: $i,SV15: $i,SV8: $i,SV19: $i,SV1: $i] :
( ( ( ~ ( class @ SV1 @ SV19 @ SV8 ) )
= $true )
| ( ( ~ ( class @ SV15 @ SV19 @ SV18 )
| ~ ( size @ SV1 @ SV20 @ SV8 )
| ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(105,plain,
! [SV16: $i,SV9: $i,SV22: $i,SV2: $i] :
( ( ( inertia @ SV2 @ SV22 @ SV9 )
= $false )
| ( ( ! [SY84: $i] :
( ~ ( inertia @ SV2 @ SY84 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SY84 @ SV22 ) ) )
= $true )
| ( ( reorganization_free @ SV2 @ SV9 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(106,plain,
! [SV17: $i,SV14: $i,SV23: $i,SV7: $i] :
( ( ( class @ SV7 @ SV23 @ SV14 )
= $false )
| ( ( ! [SY85: $i] :
( ~ ( class @ SV7 @ SY85 @ SV17 )
| ( SV23 = SY85 ) ) )
= $true )
| ( ( reorganization_free @ SV7 @ SV14 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(107,plain,
! [SV21: $i,SV20: $i,SV18: $i,SV15: $i,SV8: $i,SV19: $i,SV1: $i] :
( ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( ~ ( class @ SV15 @ SV19 @ SV18 )
| ~ ( size @ SV1 @ SV20 @ SV8 )
| ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(108,plain,
! [SV22: $i,SV9: $i,SV16: $i,SV24: $i,SV2: $i] :
( ( ( ~ ( inertia @ SV2 @ SV24 @ SV16 )
| ~ ( greater @ SV16 @ SV9 )
| ( greater @ SV24 @ SV22 ) )
= $true )
| ( ( inertia @ SV2 @ SV22 @ SV9 )
= $false )
| ( ( reorganization_free @ SV2 @ SV9 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(109,plain,
! [SV14: $i,SV23: $i,SV17: $i,SV25: $i,SV7: $i] :
( ( ( ~ ( class @ SV7 @ SV25 @ SV17 )
| ( SV23 = SV25 ) )
= $true )
| ( ( class @ SV7 @ SV23 @ SV14 )
= $false )
| ( ( reorganization_free @ SV7 @ SV14 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(110,plain,
! [SV21: $i,SV8: $i,SV20: $i,SV1: $i,SV18: $i,SV19: $i,SV15: $i] :
( ( ( ~ ( class @ SV15 @ SV19 @ SV18 ) )
= $true )
| ( ( ~ ( size @ SV1 @ SV20 @ SV8 )
| ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(111,plain,
! [SV22: $i,SV9: $i,SV16: $i,SV24: $i,SV2: $i] :
( ( ( ~ ( inertia @ SV2 @ SV24 @ SV16 ) )
= $true )
| ( ( ~ ( greater @ SV16 @ SV9 )
| ( greater @ SV24 @ SV22 ) )
= $true )
| ( ( inertia @ SV2 @ SV22 @ SV9 )
= $false )
| ( ( reorganization_free @ SV2 @ SV9 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(112,plain,
! [SV14: $i,SV23: $i,SV17: $i,SV25: $i,SV7: $i] :
( ( ( ~ ( class @ SV7 @ SV25 @ SV17 ) )
= $true )
| ( ( SV23 = SV25 )
= $true )
| ( ( class @ SV7 @ SV23 @ SV14 )
= $false )
| ( ( reorganization_free @ SV7 @ SV14 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(113,plain,
! [SV21: $i,SV8: $i,SV20: $i,SV1: $i,SV18: $i,SV19: $i,SV15: $i] :
( ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( ~ ( size @ SV1 @ SV20 @ SV8 )
| ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(114,plain,
! [SV22: $i,SV9: $i,SV16: $i,SV24: $i,SV2: $i] :
( ( ( inertia @ SV2 @ SV24 @ SV16 )
= $false )
| ( ( ~ ( greater @ SV16 @ SV9 )
| ( greater @ SV24 @ SV22 ) )
= $true )
| ( ( inertia @ SV2 @ SV22 @ SV9 )
= $false )
| ( ( reorganization_free @ SV2 @ SV9 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(115,plain,
! [SV14: $i,SV23: $i,SV17: $i,SV25: $i,SV7: $i] :
( ( ( class @ SV7 @ SV25 @ SV17 )
= $false )
| ( ( SV23 = SV25 )
= $true )
| ( ( class @ SV7 @ SV23 @ SV14 )
= $false )
| ( ( reorganization_free @ SV7 @ SV14 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV17 )
= $false )
| ( ( organization @ SV7 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(116,plain,
! [SV19: $i,SV18: $i,SV21: $i,SV15: $i,SV8: $i,SV20: $i,SV1: $i] :
( ( ( ~ ( size @ SV1 @ SV20 @ SV8 ) )
= $true )
| ( ( ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(117,plain,
! [SV2: $i,SV22: $i,SV24: $i,SV9: $i,SV16: $i] :
( ( ( ~ ( greater @ SV16 @ SV9 ) )
= $true )
| ( ( greater @ SV24 @ SV22 )
= $true )
| ( ( inertia @ SV2 @ SV24 @ SV16 )
= $false )
| ( ( inertia @ SV2 @ SV22 @ SV9 )
= $false )
| ( ( reorganization_free @ SV2 @ SV9 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV19: $i,SV18: $i,SV21: $i,SV15: $i,SV8: $i,SV20: $i,SV1: $i] :
( ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( ~ ( size @ SV15 @ SV21 @ SV18 )
| ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(119,plain,
! [SV2: $i,SV22: $i,SV24: $i,SV9: $i,SV16: $i] :
( ( ( greater @ SV16 @ SV9 )
= $false )
| ( ( greater @ SV24 @ SV22 )
= $true )
| ( ( inertia @ SV2 @ SV24 @ SV16 )
= $false )
| ( ( inertia @ SV2 @ SV22 @ SV9 )
= $false )
| ( ( reorganization_free @ SV2 @ SV9 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV16 )
= $false )
| ( ( organization @ SV2 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(120,plain,
! [SV19: $i,SV20: $i,SV8: $i,SV1: $i,SV18: $i,SV21: $i,SV15: $i] :
( ( ( ~ ( size @ SV15 @ SV21 @ SV18 ) )
= $true )
| ( ( ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true )
| ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(121,plain,
! [SV19: $i,SV20: $i,SV8: $i,SV1: $i,SV18: $i,SV21: $i,SV15: $i] :
( ( ( size @ SV15 @ SV21 @ SV18 )
= $false )
| ( ( ! [SY82: $i] :
( ~ ( inertia @ SV1 @ SY82 @ SV8 )
| ! [SY83: $i] :
( ~ ( inertia @ SV15 @ SY83 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY83 @ SY82 ) ) ) )
= $true )
| ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(122,plain,
! [SV19: $i,SV20: $i,SV21: $i,SV18: $i,SV15: $i,SV8: $i,SV26: $i,SV1: $i] :
( ( ( ~ ( inertia @ SV1 @ SV26 @ SV8 )
| ! [SY86: $i] :
( ~ ( inertia @ SV15 @ SY86 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY86 @ SV26 ) ) )
= $true )
| ( ( size @ SV15 @ SV21 @ SV18 )
= $false )
| ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(123,plain,
! [SV19: $i,SV20: $i,SV21: $i,SV18: $i,SV15: $i,SV8: $i,SV26: $i,SV1: $i] :
( ( ( ~ ( inertia @ SV1 @ SV26 @ SV8 ) )
= $true )
| ( ( ! [SY86: $i] :
( ~ ( inertia @ SV15 @ SY86 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY86 @ SV26 ) ) )
= $true )
| ( ( size @ SV15 @ SV21 @ SV18 )
= $false )
| ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(124,plain,
! [SV19: $i,SV20: $i,SV21: $i,SV18: $i,SV15: $i,SV8: $i,SV26: $i,SV1: $i] :
( ( ( inertia @ SV1 @ SV26 @ SV8 )
= $false )
| ( ( ! [SY86: $i] :
( ~ ( inertia @ SV15 @ SY86 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SY86 @ SV26 ) ) )
= $true )
| ( ( size @ SV15 @ SV21 @ SV18 )
= $false )
| ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(125,plain,
! [SV19: $i,SV8: $i,SV1: $i,SV26: $i,SV20: $i,SV21: $i,SV18: $i,SV27: $i,SV15: $i] :
( ( ( ~ ( inertia @ SV15 @ SV27 @ SV18 )
| ~ ( greater @ SV21 @ SV20 )
| ( greater @ SV27 @ SV26 ) )
= $true )
| ( ( inertia @ SV1 @ SV26 @ SV8 )
= $false )
| ( ( size @ SV15 @ SV21 @ SV18 )
= $false )
| ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(126,plain,
! [SV19: $i,SV8: $i,SV1: $i,SV26: $i,SV20: $i,SV21: $i,SV18: $i,SV27: $i,SV15: $i] :
( ( ( ~ ( inertia @ SV15 @ SV27 @ SV18 ) )
= $true )
| ( ( ~ ( greater @ SV21 @ SV20 )
| ( greater @ SV27 @ SV26 ) )
= $true )
| ( ( inertia @ SV1 @ SV26 @ SV8 )
= $false )
| ( ( size @ SV15 @ SV21 @ SV18 )
= $false )
| ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(127,plain,
! [SV19: $i,SV8: $i,SV1: $i,SV26: $i,SV20: $i,SV21: $i,SV18: $i,SV27: $i,SV15: $i] :
( ( ( inertia @ SV15 @ SV27 @ SV18 )
= $false )
| ( ( ~ ( greater @ SV21 @ SV20 )
| ( greater @ SV27 @ SV26 ) )
= $true )
| ( ( inertia @ SV1 @ SV26 @ SV8 )
= $false )
| ( ( size @ SV15 @ SV21 @ SV18 )
= $false )
| ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(128,plain,
! [SV19: $i,SV8: $i,SV1: $i,SV18: $i,SV15: $i,SV26: $i,SV27: $i,SV20: $i,SV21: $i] :
( ( ( ~ ( greater @ SV21 @ SV20 ) )
= $true )
| ( ( greater @ SV27 @ SV26 )
= $true )
| ( ( inertia @ SV15 @ SV27 @ SV18 )
= $false )
| ( ( inertia @ SV1 @ SV26 @ SV8 )
= $false )
| ( ( size @ SV15 @ SV21 @ SV18 )
= $false )
| ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(129,plain,
! [SV19: $i,SV8: $i,SV1: $i,SV18: $i,SV15: $i,SV26: $i,SV27: $i,SV20: $i,SV21: $i] :
( ( ( greater @ SV21 @ SV20 )
= $false )
| ( ( greater @ SV27 @ SV26 )
= $true )
| ( ( inertia @ SV15 @ SV27 @ SV18 )
= $false )
| ( ( inertia @ SV1 @ SV26 @ SV8 )
= $false )
| ( ( size @ SV15 @ SV21 @ SV18 )
= $false )
| ( ( size @ SV1 @ SV20 @ SV8 )
= $false )
| ( ( class @ SV15 @ SV19 @ SV18 )
= $false )
| ( ( class @ SV1 @ SV19 @ SV8 )
= $false )
| ( ( organization @ SV15 @ SV18 )
= $false )
| ( ( organization @ SV1 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(130,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[37,129,119,115,84,83,79,76,59,43,42,41,40,39,38]) ).
thf(131,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT011-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n024.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 10:15:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37
% 0.12/0.37 No.of.Axioms: 14
% 0.12/0.37
% 0.12/0.37 Length.of.Defs: 0
% 0.12/0.37
% 0.12/0.37 Contains.Choice.Funs: false
% 0.12/0.39 (rf:0,axioms:14,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:16,loop_count:0,foatp_calls:0,translation:fof_full)........
% 0.35/0.53
% 0.35/0.53 ********************************
% 0.35/0.53 * All subproblems solved! *
% 0.35/0.53 ********************************
% 0.35/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:14,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:130,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.35/0.53
% 0.35/0.53 %**** Beginning of derivation protocol ****
% 0.35/0.53 % SZS output start CNFRefutation
% See solution above
% 0.35/0.53
% 0.35/0.53 %**** End of derivation protocol ****
% 0.35/0.53 %**** no. of clauses in derivation: 131 ****
% 0.35/0.53 %**** clause counter: 130 ****
% 0.35/0.53
% 0.35/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:14,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:130,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------