TSTP Solution File: PUZ141^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ141^1 : TPTP v8.1.0. Released v6.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.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 18:19:41 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 27
% Syntax : Number of formulae : 122 ( 54 unt; 15 typ; 2 def)
% Number of atoms : 544 ( 229 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 712 ( 99 ~; 109 |; 0 &; 496 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 97 ( 0 ^ 93 !; 4 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_direction,type,
direction: $tType ).
thf(tp_movelist,type,
movelist: $tType ).
thf(tp_position,type,
position: $tType ).
thf(tp_bottom,type,
bottom: direction ).
thf(tp_c00,type,
c00: position ).
thf(tp_c10,type,
c10: position ).
thf(tp_c20,type,
c20: position ).
thf(tp_left,type,
left: direction ).
thf(tp_movedir,type,
movedir: movelist > direction > movelist ).
thf(tp_next,type,
next: position > direction > position ).
thf(tp_nomove,type,
nomove: movelist ).
thf(tp_playerpos,type,
playerpos: movelist > position ).
thf(tp_right,type,
right: direction ).
thf(tp_top,type,
top: direction ).
thf(tp_wall,type,
wall: position > $o ).
thf(c10,definition,
( c10
= ( next @ c00 @ right ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
thf(c20,definition,
( c20
= ( next @ c10 @ right ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c20) ).
thf(1,axiom,
( ( playerpos @ nomove )
= c00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_axiom) ).
thf(2,axiom,
( ( wall @ c20 )
= $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c20_axiom) ).
thf(3,axiom,
( ( wall @ c10 )
= $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10_axiom) ).
thf(4,axiom,
( ( wall @ c00 )
= $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c00_axiom) ).
thf(5,axiom,
! [PO: position,M: movelist,D: direction] :
( ( ( playerpos @ M )
= PO )
=> ( ( wall @ ( next @ PO @ D ) )
=> ( ( playerpos @ ( movedir @ M @ D ) )
= PO ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',player_move_illegal) ).
thf(6,axiom,
! [PO: position,M: movelist,D: direction] :
( ( ( playerpos @ M )
= PO )
=> ( ~ ( wall @ ( next @ PO @ D ) )
=> ( ( playerpos @ ( movedir @ M @ D ) )
= ( next @ PO @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',player_move_legal) ).
thf(7,axiom,
! [P: position] :
( ( next @ ( next @ P @ top ) @ bottom )
= P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',top_bottom) ).
thf(8,axiom,
! [P: position] :
( ( next @ ( next @ P @ left ) @ right )
= P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_right) ).
thf(9,axiom,
! [D1: direction,D2: direction,P: position] :
( ( next @ ( next @ P @ D1 ) @ D2 )
= ( next @ ( next @ P @ D2 ) @ D1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',next_comm) ).
thf(10,conjecture,
? [M: movelist] :
( ( playerpos @ M )
= c20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exercise) ).
thf(11,negated_conjecture,
( ( ? [M: movelist] :
( ( playerpos @ M )
= c20 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[10]) ).
thf(12,plain,
( ( ? [SY1: movelist] :
( ( playerpos @ SY1 )
= ( next @ ( next @ c00 @ right ) @ right ) ) )
= $false ),
inference(unfold_def,[status(thm)],[11,c10,c20]) ).
thf(13,plain,
( ( ( playerpos @ nomove )
= c00 )
= $true ),
inference(unfold_def,[status(thm)],[1,c10,c20]) ).
thf(14,plain,
( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $false )
= $true ),
inference(unfold_def,[status(thm)],[2,c10,c20]) ).
thf(15,plain,
( ( ( wall @ ( next @ c00 @ right ) )
= $false )
= $true ),
inference(unfold_def,[status(thm)],[3,c10,c20]) ).
thf(16,plain,
( ( ( wall @ c00 )
= $false )
= $true ),
inference(unfold_def,[status(thm)],[4,c10,c20]) ).
thf(17,plain,
( ( ! [PO: position,M: movelist,D: direction] :
( ( ( playerpos @ M )
= PO )
=> ( ( wall @ ( next @ PO @ D ) )
=> ( ( playerpos @ ( movedir @ M @ D ) )
= PO ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,c10,c20]) ).
thf(18,plain,
( ( ! [PO: position,M: movelist,D: direction] :
( ( ( playerpos @ M )
= PO )
=> ( ~ ( wall @ ( next @ PO @ D ) )
=> ( ( playerpos @ ( movedir @ M @ D ) )
= ( next @ PO @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,c10,c20]) ).
thf(19,plain,
( ( ! [P: position] :
( ( next @ ( next @ P @ top ) @ bottom )
= P ) )
= $true ),
inference(unfold_def,[status(thm)],[7,c10,c20]) ).
thf(20,plain,
( ( ! [P: position] :
( ( next @ ( next @ P @ left ) @ right )
= P ) )
= $true ),
inference(unfold_def,[status(thm)],[8,c10,c20]) ).
thf(21,plain,
( ( ! [D1: direction,D2: direction,P: position] :
( ( next @ ( next @ P @ D1 ) @ D2 )
= ( next @ ( next @ P @ D2 ) @ D1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,c10,c20]) ).
thf(22,plain,
( ( ~ ? [SY1: movelist] :
( ( playerpos @ SY1 )
= ( next @ ( next @ c00 @ right ) @ right ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(23,plain,
( ( ! [SY1: movelist] :
( ( playerpos @ SY1 )
!= ( next @ ( next @ c00 @ right ) @ right ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(24,plain,
( ( ! [PO: position,M: movelist] :
( ( ( playerpos @ M )
!= PO )
| ! [D: direction] :
( ~ ( wall @ ( next @ PO @ D ) )
| ( ( playerpos @ ( movedir @ M @ D ) )
= PO ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(25,plain,
( ( ! [PO: position,M: movelist] :
( ( ( playerpos @ M )
!= PO )
| ! [D: direction] :
( ( wall @ ( next @ PO @ D ) )
| ( ( playerpos @ ( movedir @ M @ D ) )
= ( next @ PO @ D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(26,plain,
( ( ! [D1: direction,D2: direction,P: position] :
( ( next @ ( next @ P @ D1 ) @ D2 )
= ( next @ ( next @ P @ D2 ) @ D1 ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(27,plain,
( ( ! [P: position] :
( ( next @ ( next @ P @ left ) @ right )
= P ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(28,plain,
( ( ! [P: position] :
( ( next @ ( next @ P @ top ) @ bottom )
= P ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(29,plain,
( ( ! [PO: position,M: movelist] :
( ( ( playerpos @ M )
!= PO )
| ! [D: direction] :
( ( wall @ ( next @ PO @ D ) )
| ( ( playerpos @ ( movedir @ M @ D ) )
= ( next @ PO @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(30,plain,
( ( ! [PO: position,M: movelist] :
( ( ( playerpos @ M )
!= PO )
| ! [D: direction] :
( ~ ( wall @ ( next @ PO @ D ) )
| ( ( playerpos @ ( movedir @ M @ D ) )
= PO ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(31,plain,
( ( ( wall @ c00 )
= $false )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(32,plain,
( ( ( wall @ ( next @ c00 @ right ) )
= $false )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(33,plain,
( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $false )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(34,plain,
( ( ( playerpos @ nomove )
= c00 )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(35,plain,
( ( ! [SY1: movelist] :
( ( playerpos @ SY1 )
!= ( next @ ( next @ c00 @ right ) @ right ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(36,plain,
! [SV1: direction] :
( ( ! [SY14: direction,SY15: position] :
( ( next @ ( next @ SY15 @ SV1 ) @ SY14 )
= ( next @ ( next @ SY15 @ SY14 ) @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(37,plain,
! [SV2: position] :
( ( ( next @ ( next @ SV2 @ left ) @ right )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(38,plain,
! [SV3: position] :
( ( ( next @ ( next @ SV3 @ top ) @ bottom )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(39,plain,
! [SV4: position] :
( ( ! [SY16: movelist] :
( ( ( playerpos @ SY16 )
!= SV4 )
| ! [SY17: direction] :
( ( wall @ ( next @ SV4 @ SY17 ) )
| ( ( playerpos @ ( movedir @ SY16 @ SY17 ) )
= ( next @ SV4 @ SY17 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(40,plain,
! [SV5: position] :
( ( ! [SY18: movelist] :
( ( ( playerpos @ SY18 )
!= SV5 )
| ! [SY19: direction] :
( ~ ( wall @ ( next @ SV5 @ SY19 ) )
| ( ( playerpos @ ( movedir @ SY18 @ SY19 ) )
= SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(41,plain,
( ( ~ ( ( wall @ c00 )
| $false )
| ~ ( ~ ( wall @ c00 )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[31]) ).
thf(42,plain,
( ( ( wall @ c00 )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[31]) ).
thf(43,plain,
( ( ~ ( ( wall @ ( next @ c00 @ right ) )
| $false )
| ~ ( ~ ( wall @ ( next @ c00 @ right ) )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[32]) ).
thf(44,plain,
( ( ( wall @ ( next @ c00 @ right ) )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[32]) ).
thf(45,plain,
( ( ~ ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
| $false )
| ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
| ~ $false ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[33]) ).
thf(46,plain,
( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $false )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[33]) ).
thf(47,plain,
! [SV6: movelist] :
( ( ( ( playerpos @ SV6 )
!= ( next @ ( next @ c00 @ right ) @ right ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(48,plain,
! [SV7: direction,SV1: direction] :
( ( ! [SY20: position] :
( ( next @ ( next @ SY20 @ SV1 ) @ SV7 )
= ( next @ ( next @ SY20 @ SV7 ) @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(49,plain,
! [SV4: position,SV8: movelist] :
( ( ( ( playerpos @ SV8 )
!= SV4 )
| ! [SY21: direction] :
( ( wall @ ( next @ SV4 @ SY21 ) )
| ( ( playerpos @ ( movedir @ SV8 @ SY21 ) )
= ( next @ SV4 @ SY21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(50,plain,
! [SV5: position,SV9: movelist] :
( ( ( ( playerpos @ SV9 )
!= SV5 )
| ! [SY22: direction] :
( ~ ( wall @ ( next @ SV5 @ SY22 ) )
| ( ( playerpos @ ( movedir @ SV9 @ SY22 ) )
= SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(51,plain,
( ( ( ~ ( ( wall @ c00 )
| $false ) )
= $true )
| ( ( ~ ( ~ ( wall @ c00 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(52,plain,
( ( ( ~ ( ( wall @ ( next @ c00 @ right ) )
| $false ) )
= $true )
| ( ( ~ ( ~ ( wall @ ( next @ c00 @ right ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(53,plain,
( ( ( ~ ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
| $false ) )
= $true )
| ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV6: movelist] :
( ( ( playerpos @ SV6 )
= ( next @ ( next @ c00 @ right ) @ right ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV7: direction,SV1: direction,SV10: position] :
( ( ( next @ ( next @ SV10 @ SV1 ) @ SV7 )
= ( next @ ( next @ SV10 @ SV7 ) @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV4: position,SV8: movelist] :
( ( ( ( ( playerpos @ SV8 )
!= SV4 ) )
= $true )
| ( ( ! [SY21: direction] :
( ( wall @ ( next @ SV4 @ SY21 ) )
| ( ( playerpos @ ( movedir @ SV8 @ SY21 ) )
= ( next @ SV4 @ SY21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV5: position,SV9: movelist] :
( ( ( ( ( playerpos @ SV9 )
!= SV5 ) )
= $true )
| ( ( ! [SY22: direction] :
( ~ ( wall @ ( next @ SV5 @ SY22 ) )
| ( ( playerpos @ ( movedir @ SV9 @ SY22 ) )
= SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(58,plain,
( ( ( ( wall @ c00 )
| $false )
= $false )
| ( ( ~ ( ~ ( wall @ c00 )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(59,plain,
( ( ( ( wall @ ( next @ c00 @ right ) )
| $false )
= $false )
| ( ( ~ ( ~ ( wall @ ( next @ c00 @ right ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(60,plain,
( ( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
| $false )
= $false )
| ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV4: position,SV8: movelist] :
( ( ( ( playerpos @ SV8 )
= SV4 )
= $false )
| ( ( ! [SY21: direction] :
( ( wall @ ( next @ SV4 @ SY21 ) )
| ( ( playerpos @ ( movedir @ SV8 @ SY21 ) )
= ( next @ SV4 @ SY21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(62,plain,
! [SV5: position,SV9: movelist] :
( ( ( ( playerpos @ SV9 )
= SV5 )
= $false )
| ( ( ! [SY22: direction] :
( ~ ( wall @ ( next @ SV5 @ SY22 ) )
| ( ( playerpos @ ( movedir @ SV9 @ SY22 ) )
= SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(63,plain,
( ( ( wall @ c00 )
= $false )
| ( ( ~ ( ~ ( wall @ c00 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(64,plain,
( ( $false = $false )
| ( ( ~ ( ~ ( wall @ c00 )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(65,plain,
( ( ( wall @ ( next @ c00 @ right ) )
= $false )
| ( ( ~ ( ~ ( wall @ ( next @ c00 @ right ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(66,plain,
( ( $false = $false )
| ( ( ~ ( ~ ( wall @ ( next @ c00 @ right ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(67,plain,
( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $false )
| ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(68,plain,
( ( $false = $false )
| ( ( ~ ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
| ~ $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(69,plain,
! [SV8: movelist,SV11: direction,SV4: position] :
( ( ( ( wall @ ( next @ SV4 @ SV11 ) )
| ( ( playerpos @ ( movedir @ SV8 @ SV11 ) )
= ( next @ SV4 @ SV11 ) ) )
= $true )
| ( ( ( playerpos @ SV8 )
= SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV9: movelist,SV12: direction,SV5: position] :
( ( ( ~ ( wall @ ( next @ SV5 @ SV12 ) )
| ( ( playerpos @ ( movedir @ SV9 @ SV12 ) )
= SV5 ) )
= $true )
| ( ( ( playerpos @ SV9 )
= SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(71,plain,
( ( ( ~ ( wall @ c00 )
| ~ $false )
= $false )
| ( ( wall @ c00 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(72,plain,
( ( ( ~ ( wall @ c00 )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(73,plain,
( ( ( ~ ( wall @ ( next @ c00 @ right ) )
| ~ $false )
= $false )
| ( ( wall @ ( next @ c00 @ right ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(74,plain,
( ( ( ~ ( wall @ ( next @ c00 @ right ) )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(75,plain,
( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
| ~ $false )
= $false )
| ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(76,plain,
( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
| ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(77,plain,
! [SV8: movelist,SV11: direction,SV4: position] :
( ( ( wall @ ( next @ SV4 @ SV11 ) )
= $true )
| ( ( ( playerpos @ ( movedir @ SV8 @ SV11 ) )
= ( next @ SV4 @ SV11 ) )
= $true )
| ( ( ( playerpos @ SV8 )
= SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(78,plain,
! [SV9: movelist,SV12: direction,SV5: position] :
( ( ( ~ ( wall @ ( next @ SV5 @ SV12 ) ) )
= $true )
| ( ( ( playerpos @ ( movedir @ SV9 @ SV12 ) )
= SV5 )
= $true )
| ( ( ( playerpos @ SV9 )
= SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(79,plain,
( ( ( ~ ( wall @ c00 ) )
= $false )
| ( ( wall @ c00 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(80,plain,
( ( ( ~ $false )
= $false )
| ( ( wall @ c00 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(81,plain,
( ( ( ~ ( wall @ c00 ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(82,plain,
( ( ( ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(83,plain,
( ( ( ~ ( wall @ ( next @ c00 @ right ) ) )
= $false )
| ( ( wall @ ( next @ c00 @ right ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(84,plain,
( ( ( ~ $false )
= $false )
| ( ( wall @ ( next @ c00 @ right ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(85,plain,
( ( ( ~ ( wall @ ( next @ c00 @ right ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(86,plain,
( ( ( ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(87,plain,
( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) ) )
= $false )
| ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(88,plain,
( ( ( ~ $false )
= $false )
| ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(89,plain,
( ( ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) ) )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(90,plain,
( ( ( ~ $false )
= $false )
| ( $false = $false ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(91,plain,
! [SV9: movelist,SV12: direction,SV5: position] :
( ( ( wall @ ( next @ SV5 @ SV12 ) )
= $false )
| ( ( ( playerpos @ ( movedir @ SV9 @ SV12 ) )
= SV5 )
= $true )
| ( ( ( playerpos @ SV9 )
= SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(92,plain,
( ( ( wall @ c00 )
= $true )
| ( ( wall @ c00 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(93,plain,
( ( $false = $true )
| ( ( wall @ c00 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(94,plain,
( ( ( wall @ c00 )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(95,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(96,plain,
( ( ( wall @ ( next @ c00 @ right ) )
= $true )
| ( ( wall @ ( next @ c00 @ right ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(97,plain,
( ( $false = $true )
| ( ( wall @ ( next @ c00 @ right ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(98,plain,
( ( ( wall @ ( next @ c00 @ right ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(99,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(100,plain,
( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $true )
| ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(101,plain,
( ( $false = $true )
| ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(102,plain,
( ( ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
= $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(103,plain,
( ( $false = $true )
| ( $false = $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(104,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[34,103,102,101,100,99,98,97,96,95,94,93,92,91,77,55,54,46,44,42,38,37]) ).
thf(105,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ141^1 : TPTP v8.1.0. Released v6.2.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 03:22:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 9
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 224
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:11,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.18/0.52
% 0.18/0.52 ********************************
% 0.18/0.52 * All subproblems solved! *
% 0.18/0.52 ********************************
% 0.18/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:104,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.52
% 0.18/0.52 %**** Beginning of derivation protocol ****
% 0.18/0.52 % SZS output start CNFRefutation
% See solution above
% 0.18/0.52
% 0.18/0.52 %**** End of derivation protocol ****
% 0.18/0.52 %**** no. of clauses in derivation: 105 ****
% 0.18/0.52 %**** clause counter: 104 ****
% 0.18/0.52
% 0.18/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:104,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------