TSTP Solution File: PLA020-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PLA020-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : Mon Jul 18 17:25:53 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 48
% Syntax : Number of formulae : 199 ( 128 unt; 16 typ; 0 def)
% Number of atoms : 875 ( 231 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 1923 ( 199 ~; 230 |; 0 &;1494 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 369 ( 0 ^ 369 !; 0 ?; 369 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_and,type,
and: $i > $i > $i ).
thf(tp_b,type,
b: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_clear,type,
clear: $i > $i ).
thf(tp_d,type,
d: $i ).
thf(tp_differ,type,
differ: $i > $i > $o ).
thf(tp_do,type,
do: $i > $i > $i ).
thf(tp_empty,type,
empty: $i ).
thf(tp_holding,type,
holding: $i > $i ).
thf(tp_holds,type,
holds: $i > $i > $o ).
thf(tp_on,type,
on: $i > $i > $i ).
thf(tp_pickup,type,
pickup: $i > $i ).
thf(tp_putdown,type,
putdown: $i > $i > $i ).
thf(tp_s0,type,
s0: $i ).
thf(tp_table,type,
table: $i ).
thf(1,axiom,
! [State: $i] : ( holds @ ( clear @ table ) @ State ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clear_table) ).
thf(2,axiom,
holds @ empty @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
thf(3,axiom,
holds @ ( clear @ c ) @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
thf(4,axiom,
holds @ ( clear @ b ) @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
thf(5,axiom,
holds @ ( clear @ a ) @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
thf(6,axiom,
holds @ ( on @ d @ table ) @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state4) ).
thf(7,axiom,
holds @ ( on @ c @ d ) @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
thf(8,axiom,
holds @ ( on @ b @ table ) @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state2) ).
thf(9,axiom,
holds @ ( on @ a @ table ) @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state1) ).
thf(10,axiom,
differ @ d @ table,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_d_table) ).
thf(11,axiom,
differ @ c @ table,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).
thf(12,axiom,
differ @ c @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_d) ).
thf(13,axiom,
differ @ b @ table,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_table) ).
thf(14,axiom,
differ @ b @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_d) ).
thf(15,axiom,
differ @ b @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
thf(16,axiom,
differ @ a @ table,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
thf(17,axiom,
differ @ a @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_d) ).
thf(18,axiom,
differ @ a @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
thf(19,axiom,
differ @ a @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
thf(20,axiom,
! [X: $i,Y: $i] :
( ( differ @ X @ Y )
| ~ ( differ @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
thf(21,axiom,
! [Z: $i,X: $i,Y: $i,State: $i] :
( ( holds @ ( clear @ Z ) @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( clear @ Z ) @ State )
| ~ ( differ @ Z @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_5) ).
thf(22,axiom,
! [X: $i,Y: $i,Z: $i,W: $i,State: $i] :
( ( holds @ ( on @ X @ Y ) @ ( do @ ( putdown @ Z @ W ) @ State ) )
| ~ ( holds @ ( on @ X @ Y ) @ State ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_4) ).
thf(23,axiom,
! [X: $i,Y: $i,State: $i] :
( ( holds @ ( clear @ X ) @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( holding @ X ) @ State )
| ~ ( holds @ ( clear @ Y ) @ State ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_3) ).
thf(24,axiom,
! [X: $i,Y: $i,State: $i] :
( ( holds @ ( on @ X @ Y ) @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( holding @ X ) @ State )
| ~ ( holds @ ( clear @ Y ) @ State ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).
thf(25,axiom,
! [X: $i,Y: $i,State: $i] :
( ( holds @ empty @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( holding @ X ) @ State )
| ~ ( holds @ ( clear @ Y ) @ State ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_1) ).
thf(26,axiom,
! [X: $i,Z: $i,State: $i] :
( ( holds @ ( clear @ X ) @ ( do @ ( pickup @ Z ) @ State ) )
| ~ ( holds @ ( clear @ X ) @ State )
| ~ ( differ @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).
thf(27,axiom,
! [X: $i,Y: $i,Z: $i,State: $i] :
( ( holds @ ( on @ X @ Y ) @ ( do @ ( pickup @ Z ) @ State ) )
| ~ ( holds @ ( on @ X @ Y ) @ State )
| ~ ( differ @ X @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_3) ).
thf(28,axiom,
! [Y: $i,X: $i,State: $i] :
( ( holds @ ( clear @ Y ) @ ( do @ ( pickup @ X ) @ State ) )
| ~ ( holds @ ( on @ X @ Y ) @ State )
| ~ ( holds @ ( clear @ X ) @ State )
| ~ ( holds @ empty @ State ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_2) ).
thf(29,axiom,
! [X: $i,State: $i] :
( ( holds @ ( holding @ X ) @ ( do @ ( pickup @ X ) @ State ) )
| ~ ( holds @ empty @ State )
| ~ ( holds @ ( clear @ X ) @ State )
| ~ ( differ @ X @ table ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).
thf(30,axiom,
! [X: $i,Y: $i,State: $i] :
( ( holds @ ( and @ X @ Y ) @ State )
| ~ ( holds @ X @ State )
| ~ ( holds @ Y @ State ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
thf(31,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(32,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[31]) ).
thf(33,negated_conjecture,
! [State: $i] :
~ ( holds @ ( clear @ d ) @ State ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_D) ).
thf(34,plain,
$false = $false,
inference(unfold_def,[status(thm)],[32]) ).
thf(35,plain,
( ( ! [State: $i] : ( holds @ ( clear @ table ) @ State ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(36,plain,
( ( holds @ empty @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(37,plain,
( ( holds @ ( clear @ c ) @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(38,plain,
( ( holds @ ( clear @ b ) @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(39,plain,
( ( holds @ ( clear @ a ) @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(40,plain,
( ( holds @ ( on @ d @ table ) @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(41,plain,
( ( holds @ ( on @ c @ d ) @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(42,plain,
( ( holds @ ( on @ b @ table ) @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(43,plain,
( ( holds @ ( on @ a @ table ) @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(44,plain,
( ( differ @ d @ table )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(45,plain,
( ( differ @ c @ table )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(46,plain,
( ( differ @ c @ d )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(47,plain,
( ( differ @ b @ table )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(48,plain,
( ( differ @ b @ d )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(49,plain,
( ( differ @ b @ c )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(50,plain,
( ( differ @ a @ table )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(51,plain,
( ( differ @ a @ d )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(52,plain,
( ( differ @ a @ c )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(53,plain,
( ( differ @ a @ b )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(54,plain,
( ( ! [X: $i,Y: $i] :
( ( differ @ X @ Y )
| ~ ( differ @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(55,plain,
( ( ! [Z: $i,X: $i,Y: $i,State: $i] :
( ( holds @ ( clear @ Z ) @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( clear @ Z ) @ State )
| ~ ( differ @ Z @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(56,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i,State: $i] :
( ( holds @ ( on @ X @ Y ) @ ( do @ ( putdown @ Z @ W ) @ State ) )
| ~ ( holds @ ( on @ X @ Y ) @ State ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i,State: $i] :
( ( holds @ ( clear @ X ) @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( holding @ X ) @ State )
| ~ ( holds @ ( clear @ Y ) @ State ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i,State: $i] :
( ( holds @ ( on @ X @ Y ) @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( holding @ X ) @ State )
| ~ ( holds @ ( clear @ Y ) @ State ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i,State: $i] :
( ( holds @ empty @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( holding @ X ) @ State )
| ~ ( holds @ ( clear @ Y ) @ State ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(60,plain,
( ( ! [X: $i,Z: $i,State: $i] :
( ( holds @ ( clear @ X ) @ ( do @ ( pickup @ Z ) @ State ) )
| ~ ( holds @ ( clear @ X ) @ State )
| ~ ( differ @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i,Z: $i,State: $i] :
( ( holds @ ( on @ X @ Y ) @ ( do @ ( pickup @ Z ) @ State ) )
| ~ ( holds @ ( on @ X @ Y ) @ State )
| ~ ( differ @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(62,plain,
( ( ! [Y: $i,X: $i,State: $i] :
( ( holds @ ( clear @ Y ) @ ( do @ ( pickup @ X ) @ State ) )
| ~ ( holds @ ( on @ X @ Y ) @ State )
| ~ ( holds @ ( clear @ X ) @ State )
| ~ ( holds @ empty @ State ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(63,plain,
( ( ! [X: $i,State: $i] :
( ( holds @ ( holding @ X ) @ ( do @ ( pickup @ X ) @ State ) )
| ~ ( holds @ empty @ State )
| ~ ( holds @ ( clear @ X ) @ State )
| ~ ( differ @ X @ table ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(64,plain,
( ( ! [X: $i,Y: $i,State: $i] :
( ( holds @ ( and @ X @ Y ) @ State )
| ~ ( holds @ X @ State )
| ~ ( holds @ Y @ State ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(65,plain,
( ( ! [State: $i] :
~ ( holds @ ( clear @ d ) @ State ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(66,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[34]) ).
thf(67,plain,
( ( ! [State: $i] :
~ ( holds @ ( clear @ d ) @ State ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(68,plain,
( ( ! [X: $i,Y: $i,State: $i] :
( ( holds @ ( and @ X @ Y ) @ State )
| ~ ( holds @ X @ State )
| ~ ( holds @ Y @ State ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(69,plain,
( ( ! [X: $i,State: $i] :
( ( holds @ ( holding @ X ) @ ( do @ ( pickup @ X ) @ State ) )
| ~ ( holds @ empty @ State )
| ~ ( holds @ ( clear @ X ) @ State )
| ~ ( differ @ X @ table ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(70,plain,
( ( ! [Y: $i,X: $i,State: $i] :
( ( holds @ ( clear @ Y ) @ ( do @ ( pickup @ X ) @ State ) )
| ~ ( holds @ ( on @ X @ Y ) @ State )
| ~ ( holds @ ( clear @ X ) @ State )
| ~ ( holds @ empty @ State ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(71,plain,
( ( ! [X: $i,Y: $i,Z: $i,State: $i] :
( ( holds @ ( on @ X @ Y ) @ ( do @ ( pickup @ Z ) @ State ) )
| ~ ( holds @ ( on @ X @ Y ) @ State )
| ~ ( differ @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(72,plain,
( ( ! [X: $i,Z: $i,State: $i] :
( ( holds @ ( clear @ X ) @ ( do @ ( pickup @ Z ) @ State ) )
| ~ ( holds @ ( clear @ X ) @ State )
| ~ ( differ @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(73,plain,
( ( ! [X: $i,Y: $i,State: $i] :
( ( holds @ empty @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( holding @ X ) @ State )
| ~ ( holds @ ( clear @ Y ) @ State ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(74,plain,
( ( ! [X: $i,Y: $i,State: $i] :
( ( holds @ ( on @ X @ Y ) @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( holding @ X ) @ State )
| ~ ( holds @ ( clear @ Y ) @ State ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(75,plain,
( ( ! [X: $i,Y: $i,State: $i] :
( ( holds @ ( clear @ X ) @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( holding @ X ) @ State )
| ~ ( holds @ ( clear @ Y ) @ State ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(76,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i,State: $i] :
( ( holds @ ( on @ X @ Y ) @ ( do @ ( putdown @ Z @ W ) @ State ) )
| ~ ( holds @ ( on @ X @ Y ) @ State ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(77,plain,
( ( ! [Z: $i,X: $i,Y: $i,State: $i] :
( ( holds @ ( clear @ Z ) @ ( do @ ( putdown @ X @ Y ) @ State ) )
| ~ ( holds @ ( clear @ Z ) @ State )
| ~ ( differ @ Z @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(78,plain,
( ( ! [X: $i,Y: $i] :
( ( differ @ X @ Y )
| ~ ( differ @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(79,plain,
( ( differ @ a @ b )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(80,plain,
( ( differ @ a @ c )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(81,plain,
( ( differ @ a @ d )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(82,plain,
( ( differ @ a @ table )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(83,plain,
( ( differ @ b @ c )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(84,plain,
( ( differ @ b @ d )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(85,plain,
( ( differ @ b @ table )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(86,plain,
( ( differ @ c @ d )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(87,plain,
( ( differ @ c @ table )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(88,plain,
( ( differ @ d @ table )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(89,plain,
( ( holds @ ( on @ a @ table ) @ s0 )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(90,plain,
( ( holds @ ( on @ b @ table ) @ s0 )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(91,plain,
( ( holds @ ( on @ c @ d ) @ s0 )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(92,plain,
( ( holds @ ( on @ d @ table ) @ s0 )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(93,plain,
( ( holds @ ( clear @ a ) @ s0 )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(94,plain,
( ( holds @ ( clear @ b ) @ s0 )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(95,plain,
( ( holds @ ( clear @ c ) @ s0 )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(96,plain,
( ( holds @ empty @ s0 )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(97,plain,
( ( ! [State: $i] : ( holds @ ( clear @ table ) @ State ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(98,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(99,plain,
! [SV1: $i] :
( ( ~ ( holds @ ( clear @ d ) @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(100,plain,
! [SV2: $i] :
( ( ! [SY37: $i,SY38: $i] :
( ( holds @ ( and @ SV2 @ SY37 ) @ SY38 )
| ~ ( holds @ SV2 @ SY38 )
| ~ ( holds @ SY37 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(101,plain,
! [SV3: $i] :
( ( ! [SY39: $i] :
( ( holds @ ( holding @ SV3 ) @ ( do @ ( pickup @ SV3 ) @ SY39 ) )
| ~ ( holds @ empty @ SY39 )
| ~ ( holds @ ( clear @ SV3 ) @ SY39 )
| ~ ( differ @ SV3 @ table ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(102,plain,
! [SV4: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ( holds @ ( clear @ SV4 ) @ ( do @ ( pickup @ SY40 ) @ SY41 ) )
| ~ ( holds @ ( on @ SY40 @ SV4 ) @ SY41 )
| ~ ( holds @ ( clear @ SY40 ) @ SY41 )
| ~ ( holds @ empty @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(103,plain,
! [SV5: $i] :
( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ( holds @ ( on @ SV5 @ SY42 ) @ ( do @ ( pickup @ SY43 ) @ SY44 ) )
| ~ ( holds @ ( on @ SV5 @ SY42 ) @ SY44 )
| ~ ( differ @ SV5 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(104,plain,
! [SV6: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ( holds @ ( clear @ SV6 ) @ ( do @ ( pickup @ SY45 ) @ SY46 ) )
| ~ ( holds @ ( clear @ SV6 ) @ SY46 )
| ~ ( differ @ SV6 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(105,plain,
! [SV7: $i] :
( ( ! [SY47: $i,SY48: $i] :
( ( holds @ empty @ ( do @ ( putdown @ SV7 @ SY47 ) @ SY48 ) )
| ~ ( holds @ ( holding @ SV7 ) @ SY48 )
| ~ ( holds @ ( clear @ SY47 ) @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(106,plain,
! [SV8: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ( holds @ ( on @ SV8 @ SY49 ) @ ( do @ ( putdown @ SV8 @ SY49 ) @ SY50 ) )
| ~ ( holds @ ( holding @ SV8 ) @ SY50 )
| ~ ( holds @ ( clear @ SY49 ) @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(107,plain,
! [SV9: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ( holds @ ( clear @ SV9 ) @ ( do @ ( putdown @ SV9 @ SY51 ) @ SY52 ) )
| ~ ( holds @ ( holding @ SV9 ) @ SY52 )
| ~ ( holds @ ( clear @ SY51 ) @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(108,plain,
! [SV10: $i] :
( ( ! [SY53: $i,SY54: $i,SY55: $i,SY56: $i] :
( ( holds @ ( on @ SV10 @ SY53 ) @ ( do @ ( putdown @ SY54 @ SY55 ) @ SY56 ) )
| ~ ( holds @ ( on @ SV10 @ SY53 ) @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(109,plain,
! [SV11: $i] :
( ( ! [SY57: $i,SY58: $i,SY59: $i] :
( ( holds @ ( clear @ SV11 ) @ ( do @ ( putdown @ SY57 @ SY58 ) @ SY59 ) )
| ~ ( holds @ ( clear @ SV11 ) @ SY59 )
| ~ ( differ @ SV11 @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(110,plain,
! [SV12: $i] :
( ( ! [SY60: $i] :
( ( differ @ SV12 @ SY60 )
| ~ ( differ @ SY60 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(111,plain,
! [SV13: $i] :
( ( holds @ ( clear @ table ) @ SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(112,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV1: $i] :
( ( holds @ ( clear @ d ) @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV14: $i,SV2: $i] :
( ( ! [SY61: $i] :
( ( holds @ ( and @ SV2 @ SV14 ) @ SY61 )
| ~ ( holds @ SV2 @ SY61 )
| ~ ( holds @ SV14 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV15: $i,SV3: $i] :
( ( ( holds @ ( holding @ SV3 ) @ ( do @ ( pickup @ SV3 ) @ SV15 ) )
| ~ ( holds @ empty @ SV15 )
| ~ ( holds @ ( clear @ SV3 ) @ SV15 )
| ~ ( differ @ SV3 @ table ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV16: $i,SV4: $i] :
( ( ! [SY62: $i] :
( ( holds @ ( clear @ SV4 ) @ ( do @ ( pickup @ SV16 ) @ SY62 ) )
| ~ ( holds @ ( on @ SV16 @ SV4 ) @ SY62 )
| ~ ( holds @ ( clear @ SV16 ) @ SY62 )
| ~ ( holds @ empty @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(117,plain,
! [SV17: $i,SV5: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ( holds @ ( on @ SV5 @ SV17 ) @ ( do @ ( pickup @ SY63 ) @ SY64 ) )
| ~ ( holds @ ( on @ SV5 @ SV17 ) @ SY64 )
| ~ ( differ @ SV5 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV18: $i,SV6: $i] :
( ( ! [SY65: $i] :
( ( holds @ ( clear @ SV6 ) @ ( do @ ( pickup @ SV18 ) @ SY65 ) )
| ~ ( holds @ ( clear @ SV6 ) @ SY65 )
| ~ ( differ @ SV6 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(119,plain,
! [SV19: $i,SV7: $i] :
( ( ! [SY66: $i] :
( ( holds @ empty @ ( do @ ( putdown @ SV7 @ SV19 ) @ SY66 ) )
| ~ ( holds @ ( holding @ SV7 ) @ SY66 )
| ~ ( holds @ ( clear @ SV19 ) @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(120,plain,
! [SV20: $i,SV8: $i] :
( ( ! [SY67: $i] :
( ( holds @ ( on @ SV8 @ SV20 ) @ ( do @ ( putdown @ SV8 @ SV20 ) @ SY67 ) )
| ~ ( holds @ ( holding @ SV8 ) @ SY67 )
| ~ ( holds @ ( clear @ SV20 ) @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(121,plain,
! [SV21: $i,SV9: $i] :
( ( ! [SY68: $i] :
( ( holds @ ( clear @ SV9 ) @ ( do @ ( putdown @ SV9 @ SV21 ) @ SY68 ) )
| ~ ( holds @ ( holding @ SV9 ) @ SY68 )
| ~ ( holds @ ( clear @ SV21 ) @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(122,plain,
! [SV22: $i,SV10: $i] :
( ( ! [SY69: $i,SY70: $i,SY71: $i] :
( ( holds @ ( on @ SV10 @ SV22 ) @ ( do @ ( putdown @ SY69 @ SY70 ) @ SY71 ) )
| ~ ( holds @ ( on @ SV10 @ SV22 ) @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(123,plain,
! [SV23: $i,SV11: $i] :
( ( ! [SY72: $i,SY73: $i] :
( ( holds @ ( clear @ SV11 ) @ ( do @ ( putdown @ SV23 @ SY72 ) @ SY73 ) )
| ~ ( holds @ ( clear @ SV11 ) @ SY73 )
| ~ ( differ @ SV11 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(124,plain,
! [SV24: $i,SV12: $i] :
( ( ( differ @ SV12 @ SV24 )
| ~ ( differ @ SV24 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(125,plain,
! [SV25: $i,SV14: $i,SV2: $i] :
( ( ( holds @ ( and @ SV2 @ SV14 ) @ SV25 )
| ~ ( holds @ SV2 @ SV25 )
| ~ ( holds @ SV14 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(126,plain,
! [SV15: $i,SV3: $i] :
( ( ( holds @ ( holding @ SV3 ) @ ( do @ ( pickup @ SV3 ) @ SV15 ) )
= $true )
| ( ( ~ ( holds @ empty @ SV15 )
| ~ ( holds @ ( clear @ SV3 ) @ SV15 )
| ~ ( differ @ SV3 @ table ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(127,plain,
! [SV26: $i,SV16: $i,SV4: $i] :
( ( ( holds @ ( clear @ SV4 ) @ ( do @ ( pickup @ SV16 ) @ SV26 ) )
| ~ ( holds @ ( on @ SV16 @ SV4 ) @ SV26 )
| ~ ( holds @ ( clear @ SV16 ) @ SV26 )
| ~ ( holds @ empty @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(128,plain,
! [SV27: $i,SV17: $i,SV5: $i] :
( ( ! [SY74: $i] :
( ( holds @ ( on @ SV5 @ SV17 ) @ ( do @ ( pickup @ SV27 ) @ SY74 ) )
| ~ ( holds @ ( on @ SV5 @ SV17 ) @ SY74 )
| ~ ( differ @ SV5 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(129,plain,
! [SV28: $i,SV18: $i,SV6: $i] :
( ( ( holds @ ( clear @ SV6 ) @ ( do @ ( pickup @ SV18 ) @ SV28 ) )
| ~ ( holds @ ( clear @ SV6 ) @ SV28 )
| ~ ( differ @ SV6 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(130,plain,
! [SV29: $i,SV19: $i,SV7: $i] :
( ( ( holds @ empty @ ( do @ ( putdown @ SV7 @ SV19 ) @ SV29 ) )
| ~ ( holds @ ( holding @ SV7 ) @ SV29 )
| ~ ( holds @ ( clear @ SV19 ) @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(131,plain,
! [SV30: $i,SV20: $i,SV8: $i] :
( ( ( holds @ ( on @ SV8 @ SV20 ) @ ( do @ ( putdown @ SV8 @ SV20 ) @ SV30 ) )
| ~ ( holds @ ( holding @ SV8 ) @ SV30 )
| ~ ( holds @ ( clear @ SV20 ) @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(132,plain,
! [SV31: $i,SV21: $i,SV9: $i] :
( ( ( holds @ ( clear @ SV9 ) @ ( do @ ( putdown @ SV9 @ SV21 ) @ SV31 ) )
| ~ ( holds @ ( holding @ SV9 ) @ SV31 )
| ~ ( holds @ ( clear @ SV21 ) @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(133,plain,
! [SV32: $i,SV22: $i,SV10: $i] :
( ( ! [SY75: $i,SY76: $i] :
( ( holds @ ( on @ SV10 @ SV22 ) @ ( do @ ( putdown @ SV32 @ SY75 ) @ SY76 ) )
| ~ ( holds @ ( on @ SV10 @ SV22 ) @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(134,plain,
! [SV33: $i,SV23: $i,SV11: $i] :
( ( ! [SY77: $i] :
( ( holds @ ( clear @ SV11 ) @ ( do @ ( putdown @ SV23 @ SV33 ) @ SY77 ) )
| ~ ( holds @ ( clear @ SV11 ) @ SY77 )
| ~ ( differ @ SV11 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(135,plain,
! [SV24: $i,SV12: $i] :
( ( ( differ @ SV12 @ SV24 )
= $true )
| ( ( ~ ( differ @ SV24 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(136,plain,
! [SV25: $i,SV14: $i,SV2: $i] :
( ( ( holds @ ( and @ SV2 @ SV14 ) @ SV25 )
= $true )
| ( ( ~ ( holds @ SV2 @ SV25 )
| ~ ( holds @ SV14 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(137,plain,
! [SV3: $i,SV15: $i] :
( ( ( ~ ( holds @ empty @ SV15 ) )
= $true )
| ( ( ~ ( holds @ ( clear @ SV3 ) @ SV15 )
| ~ ( differ @ SV3 @ table ) )
= $true )
| ( ( holds @ ( holding @ SV3 ) @ ( do @ ( pickup @ SV3 ) @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(138,plain,
! [SV26: $i,SV16: $i,SV4: $i] :
( ( ( holds @ ( clear @ SV4 ) @ ( do @ ( pickup @ SV16 ) @ SV26 ) )
= $true )
| ( ( ~ ( holds @ ( on @ SV16 @ SV4 ) @ SV26 )
| ~ ( holds @ ( clear @ SV16 ) @ SV26 )
| ~ ( holds @ empty @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(139,plain,
! [SV34: $i,SV27: $i,SV17: $i,SV5: $i] :
( ( ( holds @ ( on @ SV5 @ SV17 ) @ ( do @ ( pickup @ SV27 ) @ SV34 ) )
| ~ ( holds @ ( on @ SV5 @ SV17 ) @ SV34 )
| ~ ( differ @ SV5 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(140,plain,
! [SV28: $i,SV18: $i,SV6: $i] :
( ( ( holds @ ( clear @ SV6 ) @ ( do @ ( pickup @ SV18 ) @ SV28 ) )
= $true )
| ( ( ~ ( holds @ ( clear @ SV6 ) @ SV28 )
| ~ ( differ @ SV6 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(141,plain,
! [SV29: $i,SV19: $i,SV7: $i] :
( ( ( holds @ empty @ ( do @ ( putdown @ SV7 @ SV19 ) @ SV29 ) )
= $true )
| ( ( ~ ( holds @ ( holding @ SV7 ) @ SV29 )
| ~ ( holds @ ( clear @ SV19 ) @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(142,plain,
! [SV30: $i,SV20: $i,SV8: $i] :
( ( ( holds @ ( on @ SV8 @ SV20 ) @ ( do @ ( putdown @ SV8 @ SV20 ) @ SV30 ) )
= $true )
| ( ( ~ ( holds @ ( holding @ SV8 ) @ SV30 )
| ~ ( holds @ ( clear @ SV20 ) @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(143,plain,
! [SV31: $i,SV21: $i,SV9: $i] :
( ( ( holds @ ( clear @ SV9 ) @ ( do @ ( putdown @ SV9 @ SV21 ) @ SV31 ) )
= $true )
| ( ( ~ ( holds @ ( holding @ SV9 ) @ SV31 )
| ~ ( holds @ ( clear @ SV21 ) @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(144,plain,
! [SV35: $i,SV32: $i,SV22: $i,SV10: $i] :
( ( ! [SY78: $i] :
( ( holds @ ( on @ SV10 @ SV22 ) @ ( do @ ( putdown @ SV32 @ SV35 ) @ SY78 ) )
| ~ ( holds @ ( on @ SV10 @ SV22 ) @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(145,plain,
! [SV36: $i,SV33: $i,SV23: $i,SV11: $i] :
( ( ( holds @ ( clear @ SV11 ) @ ( do @ ( putdown @ SV23 @ SV33 ) @ SV36 ) )
| ~ ( holds @ ( clear @ SV11 ) @ SV36 )
| ~ ( differ @ SV11 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(146,plain,
! [SV12: $i,SV24: $i] :
( ( ( differ @ SV24 @ SV12 )
= $false )
| ( ( differ @ SV12 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(147,plain,
! [SV14: $i,SV25: $i,SV2: $i] :
( ( ( ~ ( holds @ SV2 @ SV25 ) )
= $true )
| ( ( ~ ( holds @ SV14 @ SV25 ) )
= $true )
| ( ( holds @ ( and @ SV2 @ SV14 ) @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(148,plain,
! [SV3: $i,SV15: $i] :
( ( ( holds @ empty @ SV15 )
= $false )
| ( ( ~ ( holds @ ( clear @ SV3 ) @ SV15 )
| ~ ( differ @ SV3 @ table ) )
= $true )
| ( ( holds @ ( holding @ SV3 ) @ ( do @ ( pickup @ SV3 ) @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(149,plain,
! [SV26: $i,SV4: $i,SV16: $i] :
( ( ( ~ ( holds @ ( on @ SV16 @ SV4 ) @ SV26 ) )
= $true )
| ( ( ~ ( holds @ ( clear @ SV16 ) @ SV26 )
| ~ ( holds @ empty @ SV26 ) )
= $true )
| ( ( holds @ ( clear @ SV4 ) @ ( do @ ( pickup @ SV16 ) @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(150,plain,
! [SV34: $i,SV27: $i,SV17: $i,SV5: $i] :
( ( ( holds @ ( on @ SV5 @ SV17 ) @ ( do @ ( pickup @ SV27 ) @ SV34 ) )
= $true )
| ( ( ~ ( holds @ ( on @ SV5 @ SV17 ) @ SV34 )
| ~ ( differ @ SV5 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(151,plain,
! [SV18: $i,SV28: $i,SV6: $i] :
( ( ( ~ ( holds @ ( clear @ SV6 ) @ SV28 ) )
= $true )
| ( ( ~ ( differ @ SV6 @ SV18 ) )
= $true )
| ( ( holds @ ( clear @ SV6 ) @ ( do @ ( pickup @ SV18 ) @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(152,plain,
! [SV19: $i,SV29: $i,SV7: $i] :
( ( ( ~ ( holds @ ( holding @ SV7 ) @ SV29 ) )
= $true )
| ( ( ~ ( holds @ ( clear @ SV19 ) @ SV29 ) )
= $true )
| ( ( holds @ empty @ ( do @ ( putdown @ SV7 @ SV19 ) @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(153,plain,
! [SV20: $i,SV30: $i,SV8: $i] :
( ( ( ~ ( holds @ ( holding @ SV8 ) @ SV30 ) )
= $true )
| ( ( ~ ( holds @ ( clear @ SV20 ) @ SV30 ) )
= $true )
| ( ( holds @ ( on @ SV8 @ SV20 ) @ ( do @ ( putdown @ SV8 @ SV20 ) @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(154,plain,
! [SV21: $i,SV31: $i,SV9: $i] :
( ( ( ~ ( holds @ ( holding @ SV9 ) @ SV31 ) )
= $true )
| ( ( ~ ( holds @ ( clear @ SV21 ) @ SV31 ) )
= $true )
| ( ( holds @ ( clear @ SV9 ) @ ( do @ ( putdown @ SV9 @ SV21 ) @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(155,plain,
! [SV37: $i,SV35: $i,SV32: $i,SV22: $i,SV10: $i] :
( ( ( holds @ ( on @ SV10 @ SV22 ) @ ( do @ ( putdown @ SV32 @ SV35 ) @ SV37 ) )
| ~ ( holds @ ( on @ SV10 @ SV22 ) @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(156,plain,
! [SV36: $i,SV33: $i,SV23: $i,SV11: $i] :
( ( ( holds @ ( clear @ SV11 ) @ ( do @ ( putdown @ SV23 @ SV33 ) @ SV36 ) )
= $true )
| ( ( ~ ( holds @ ( clear @ SV11 ) @ SV36 )
| ~ ( differ @ SV11 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(157,plain,
! [SV14: $i,SV25: $i,SV2: $i] :
( ( ( holds @ SV2 @ SV25 )
= $false )
| ( ( ~ ( holds @ SV14 @ SV25 ) )
= $true )
| ( ( holds @ ( and @ SV2 @ SV14 ) @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(158,plain,
! [SV15: $i,SV3: $i] :
( ( ( ~ ( holds @ ( clear @ SV3 ) @ SV15 ) )
= $true )
| ( ( ~ ( differ @ SV3 @ table ) )
= $true )
| ( ( holds @ empty @ SV15 )
= $false )
| ( ( holds @ ( holding @ SV3 ) @ ( do @ ( pickup @ SV3 ) @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(159,plain,
! [SV26: $i,SV4: $i,SV16: $i] :
( ( ( holds @ ( on @ SV16 @ SV4 ) @ SV26 )
= $false )
| ( ( ~ ( holds @ ( clear @ SV16 ) @ SV26 )
| ~ ( holds @ empty @ SV26 ) )
= $true )
| ( ( holds @ ( clear @ SV4 ) @ ( do @ ( pickup @ SV16 ) @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(160,plain,
! [SV27: $i,SV34: $i,SV17: $i,SV5: $i] :
( ( ( ~ ( holds @ ( on @ SV5 @ SV17 ) @ SV34 ) )
= $true )
| ( ( ~ ( differ @ SV5 @ SV27 ) )
= $true )
| ( ( holds @ ( on @ SV5 @ SV17 ) @ ( do @ ( pickup @ SV27 ) @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(161,plain,
! [SV18: $i,SV28: $i,SV6: $i] :
( ( ( holds @ ( clear @ SV6 ) @ SV28 )
= $false )
| ( ( ~ ( differ @ SV6 @ SV18 ) )
= $true )
| ( ( holds @ ( clear @ SV6 ) @ ( do @ ( pickup @ SV18 ) @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(162,plain,
! [SV19: $i,SV29: $i,SV7: $i] :
( ( ( holds @ ( holding @ SV7 ) @ SV29 )
= $false )
| ( ( ~ ( holds @ ( clear @ SV19 ) @ SV29 ) )
= $true )
| ( ( holds @ empty @ ( do @ ( putdown @ SV7 @ SV19 ) @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(163,plain,
! [SV20: $i,SV30: $i,SV8: $i] :
( ( ( holds @ ( holding @ SV8 ) @ SV30 )
= $false )
| ( ( ~ ( holds @ ( clear @ SV20 ) @ SV30 ) )
= $true )
| ( ( holds @ ( on @ SV8 @ SV20 ) @ ( do @ ( putdown @ SV8 @ SV20 ) @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(164,plain,
! [SV21: $i,SV31: $i,SV9: $i] :
( ( ( holds @ ( holding @ SV9 ) @ SV31 )
= $false )
| ( ( ~ ( holds @ ( clear @ SV21 ) @ SV31 ) )
= $true )
| ( ( holds @ ( clear @ SV9 ) @ ( do @ ( putdown @ SV9 @ SV21 ) @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(165,plain,
! [SV37: $i,SV35: $i,SV32: $i,SV22: $i,SV10: $i] :
( ( ( holds @ ( on @ SV10 @ SV22 ) @ ( do @ ( putdown @ SV32 @ SV35 ) @ SV37 ) )
= $true )
| ( ( ~ ( holds @ ( on @ SV10 @ SV22 ) @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(166,plain,
! [SV23: $i,SV33: $i,SV36: $i,SV11: $i] :
( ( ( ~ ( holds @ ( clear @ SV11 ) @ SV36 ) )
= $true )
| ( ( ~ ( differ @ SV11 @ SV33 ) )
= $true )
| ( ( holds @ ( clear @ SV11 ) @ ( do @ ( putdown @ SV23 @ SV33 ) @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(167,plain,
! [SV2: $i,SV25: $i,SV14: $i] :
( ( ( holds @ SV14 @ SV25 )
= $false )
| ( ( holds @ SV2 @ SV25 )
= $false )
| ( ( holds @ ( and @ SV2 @ SV14 ) @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(168,plain,
! [SV15: $i,SV3: $i] :
( ( ( holds @ ( clear @ SV3 ) @ SV15 )
= $false )
| ( ( ~ ( differ @ SV3 @ table ) )
= $true )
| ( ( holds @ empty @ SV15 )
= $false )
| ( ( holds @ ( holding @ SV3 ) @ ( do @ ( pickup @ SV3 ) @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(169,plain,
! [SV4: $i,SV26: $i,SV16: $i] :
( ( ( ~ ( holds @ ( clear @ SV16 ) @ SV26 ) )
= $true )
| ( ( ~ ( holds @ empty @ SV26 ) )
= $true )
| ( ( holds @ ( on @ SV16 @ SV4 ) @ SV26 )
= $false )
| ( ( holds @ ( clear @ SV4 ) @ ( do @ ( pickup @ SV16 ) @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(170,plain,
! [SV27: $i,SV34: $i,SV17: $i,SV5: $i] :
( ( ( holds @ ( on @ SV5 @ SV17 ) @ SV34 )
= $false )
| ( ( ~ ( differ @ SV5 @ SV27 ) )
= $true )
| ( ( holds @ ( on @ SV5 @ SV17 ) @ ( do @ ( pickup @ SV27 ) @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(171,plain,
! [SV28: $i,SV18: $i,SV6: $i] :
( ( ( differ @ SV6 @ SV18 )
= $false )
| ( ( holds @ ( clear @ SV6 ) @ SV28 )
= $false )
| ( ( holds @ ( clear @ SV6 ) @ ( do @ ( pickup @ SV18 ) @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(172,plain,
! [SV7: $i,SV29: $i,SV19: $i] :
( ( ( holds @ ( clear @ SV19 ) @ SV29 )
= $false )
| ( ( holds @ ( holding @ SV7 ) @ SV29 )
= $false )
| ( ( holds @ empty @ ( do @ ( putdown @ SV7 @ SV19 ) @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(173,plain,
! [SV8: $i,SV30: $i,SV20: $i] :
( ( ( holds @ ( clear @ SV20 ) @ SV30 )
= $false )
| ( ( holds @ ( holding @ SV8 ) @ SV30 )
= $false )
| ( ( holds @ ( on @ SV8 @ SV20 ) @ ( do @ ( putdown @ SV8 @ SV20 ) @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(174,plain,
! [SV9: $i,SV31: $i,SV21: $i] :
( ( ( holds @ ( clear @ SV21 ) @ SV31 )
= $false )
| ( ( holds @ ( holding @ SV9 ) @ SV31 )
= $false )
| ( ( holds @ ( clear @ SV9 ) @ ( do @ ( putdown @ SV9 @ SV21 ) @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(175,plain,
! [SV35: $i,SV32: $i,SV37: $i,SV22: $i,SV10: $i] :
( ( ( holds @ ( on @ SV10 @ SV22 ) @ SV37 )
= $false )
| ( ( holds @ ( on @ SV10 @ SV22 ) @ ( do @ ( putdown @ SV32 @ SV35 ) @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(176,plain,
! [SV23: $i,SV33: $i,SV36: $i,SV11: $i] :
( ( ( holds @ ( clear @ SV11 ) @ SV36 )
= $false )
| ( ( ~ ( differ @ SV11 @ SV33 ) )
= $true )
| ( ( holds @ ( clear @ SV11 ) @ ( do @ ( putdown @ SV23 @ SV33 ) @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(177,plain,
! [SV15: $i,SV3: $i] :
( ( ( differ @ SV3 @ table )
= $false )
| ( ( holds @ ( clear @ SV3 ) @ SV15 )
= $false )
| ( ( holds @ empty @ SV15 )
= $false )
| ( ( holds @ ( holding @ SV3 ) @ ( do @ ( pickup @ SV3 ) @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(178,plain,
! [SV4: $i,SV26: $i,SV16: $i] :
( ( ( holds @ ( clear @ SV16 ) @ SV26 )
= $false )
| ( ( ~ ( holds @ empty @ SV26 ) )
= $true )
| ( ( holds @ ( on @ SV16 @ SV4 ) @ SV26 )
= $false )
| ( ( holds @ ( clear @ SV4 ) @ ( do @ ( pickup @ SV16 ) @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(179,plain,
! [SV34: $i,SV17: $i,SV27: $i,SV5: $i] :
( ( ( differ @ SV5 @ SV27 )
= $false )
| ( ( holds @ ( on @ SV5 @ SV17 ) @ SV34 )
= $false )
| ( ( holds @ ( on @ SV5 @ SV17 ) @ ( do @ ( pickup @ SV27 ) @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(180,plain,
! [SV23: $i,SV36: $i,SV33: $i,SV11: $i] :
( ( ( differ @ SV11 @ SV33 )
= $false )
| ( ( holds @ ( clear @ SV11 ) @ SV36 )
= $false )
| ( ( holds @ ( clear @ SV11 ) @ ( do @ ( putdown @ SV23 @ SV33 ) @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(181,plain,
! [SV4: $i,SV16: $i,SV26: $i] :
( ( ( holds @ empty @ SV26 )
= $false )
| ( ( holds @ ( clear @ SV16 ) @ SV26 )
= $false )
| ( ( holds @ ( on @ SV16 @ SV4 ) @ SV26 )
= $false )
| ( ( holds @ ( clear @ SV4 ) @ ( do @ ( pickup @ SV16 ) @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(182,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[79,181,180,179,177,175,174,173,172,171,167,146,113,112,111,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80]) ).
thf(183,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PLA020-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue May 31 23:06:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 31
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 0
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: false
% 0.19/0.37 (rf:0,axioms:31,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:33,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.19/0.45
% 0.19/0.45 ********************************
% 0.19/0.45 * All subproblems solved! *
% 0.19/0.45 ********************************
% 0.19/0.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:31,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:182,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.47
% 0.19/0.47 %**** Beginning of derivation protocol ****
% 0.19/0.47 % SZS output start CNFRefutation
% See solution above
% 0.19/0.47
% 0.19/0.47 %**** End of derivation protocol ****
% 0.19/0.47 %**** no. of clauses in derivation: 183 ****
% 0.19/0.47 %**** clause counter: 182 ****
% 0.19/0.47
% 0.19/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:31,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:182,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------