TSTP Solution File: MSC002-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MSC002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n008.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 22:50:18 EDT 2022
% Result : Unsatisfiable 0.21s 0.47s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 140 ( 75 unt; 14 typ; 0 def)
% Number of atoms : 612 ( 163 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1101 ( 128 ~; 160 |; 0 &; 813 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 339 ( 0 ^ 339 !; 0 ?; 339 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_answer,type,
answer: $i > $o ).
thf(tp_at,type,
at: $i > $i > $i > $o ).
thf(tp_go,type,
go: $i > $i > $i ).
thf(tp_grabbed,type,
grabbed: $i > $i > $o ).
thf(tp_hand_at,type,
hand_at: $i > $i > $o ).
thf(tp_held,type,
held: $i > $i > $o ).
thf(tp_here,type,
here: $i ).
thf(tp_let_go,type,
let_go: $i > $i ).
thf(tp_now,type,
now: $i ).
thf(tp_pick_up,type,
pick_up: $i > $i ).
thf(tp_put,type,
put: $i > $i > $i > $o ).
thf(tp_red,type,
red: $i > $o ).
thf(tp_something,type,
something: $i ).
thf(tp_there,type,
there: $i ).
thf(1,axiom,
! [Place: $i,Situation: $i,Thing: $i] :
( ~ ( hand_at @ Place @ Situation )
| ~ ( at @ Thing @ Place @ Situation )
| ( held @ Thing @ ( pick_up @ Situation ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thing_picked_up_by_hand) ).
thf(2,axiom,
! [One_place: $i,Situation: $i,Thing: $i,Place: $i] :
( ~ ( hand_at @ One_place @ Situation )
| ~ ( held @ Thing @ Situation )
| ( at @ Thing @ Place @ ( go @ Place @ Situation ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thing_goes_in_hand) ).
thf(3,axiom,
! [Thing: $i,Situation: $i,Place: $i,Another_place: $i] :
( ( held @ Thing @ Situation )
| ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( go @ Another_place @ Situation ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thing_either_held_or_went_there) ).
thf(4,axiom,
! [Thing: $i,Place: $i,Situation: $i,Another_place: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ~ ( grabbed @ Thing @ Situation )
| ( put @ Thing @ Another_place @ ( go @ Another_place @ Situation ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',can_put_somewhere_if_grab_and_go_there) ).
thf(5,axiom,
! [Thing: $i,Situation: $i] :
( ~ ( red @ Thing )
| ~ ( put @ Thing @ there @ Situation )
| ( answer @ Situation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',answer_if_red_and_put_there) ).
thf(6,axiom,
! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( grabbed @ Thing @ ( pick_up @ ( go @ Place @ ( let_go @ Situation ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',can_grab_if_previously_let_go) ).
thf(7,axiom,
! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( pick_up @ Situation ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',situation_pick_up) ).
thf(8,axiom,
! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( let_go @ Situation ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',situation_let_go) ).
thf(9,axiom,
! [Thing: $i,Situation: $i] :
( ~ ( at @ Thing @ here @ Situation )
| ( red @ Thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everything_is_red) ).
thf(10,axiom,
! [Thing: $i,Situation: $i] :
~ ( held @ Thing @ ( let_go @ Situation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cant_hold_and_let_go) ).
thf(11,axiom,
! [Place: $i,Situation: $i,Another_place: $i] :
( ~ ( hand_at @ Place @ Situation )
| ( hand_at @ Another_place @ ( go @ Another_place @ Situation ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hand_go) ).
thf(12,axiom,
! [Place: $i,Situation: $i] :
( ~ ( hand_at @ Place @ Situation )
| ( hand_at @ Place @ ( let_go @ Situation ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hand_let_go) ).
thf(13,axiom,
at @ something @ here @ now,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_is_here_now) ).
thf(14,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(15,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[14]) ).
thf(16,negated_conjecture,
! [Situation: $i] :
~ ( answer @ Situation ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer_situation) ).
thf(17,plain,
$false = $false,
inference(unfold_def,[status(thm)],[15]) ).
thf(18,plain,
( ( ! [Place: $i,Situation: $i,Thing: $i] :
( ~ ( hand_at @ Place @ Situation )
| ~ ( at @ Thing @ Place @ Situation )
| ( held @ Thing @ ( pick_up @ Situation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(19,plain,
( ( ! [One_place: $i,Situation: $i,Thing: $i,Place: $i] :
( ~ ( hand_at @ One_place @ Situation )
| ~ ( held @ Thing @ Situation )
| ( at @ Thing @ Place @ ( go @ Place @ Situation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(20,plain,
( ( ! [Thing: $i,Situation: $i,Place: $i,Another_place: $i] :
( ( held @ Thing @ Situation )
| ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( go @ Another_place @ Situation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(21,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i,Another_place: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ~ ( grabbed @ Thing @ Situation )
| ( put @ Thing @ Another_place @ ( go @ Another_place @ Situation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(22,plain,
( ( ! [Thing: $i,Situation: $i] :
( ~ ( red @ Thing )
| ~ ( put @ Thing @ there @ Situation )
| ( answer @ Situation ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(23,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( grabbed @ Thing @ ( pick_up @ ( go @ Place @ ( let_go @ Situation ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(24,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( pick_up @ Situation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(25,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( let_go @ Situation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(26,plain,
( ( ! [Thing: $i,Situation: $i] :
( ~ ( at @ Thing @ here @ Situation )
| ( red @ Thing ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(27,plain,
( ( ! [Thing: $i,Situation: $i] :
~ ( held @ Thing @ ( let_go @ Situation ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(28,plain,
( ( ! [Place: $i,Situation: $i,Another_place: $i] :
( ~ ( hand_at @ Place @ Situation )
| ( hand_at @ Another_place @ ( go @ Another_place @ Situation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(29,plain,
( ( ! [Place: $i,Situation: $i] :
( ~ ( hand_at @ Place @ Situation )
| ( hand_at @ Place @ ( let_go @ Situation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(30,plain,
( ( at @ something @ here @ now )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(31,plain,
( ( ! [Situation: $i] :
~ ( answer @ Situation ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(32,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(33,plain,
( ( ! [Place: $i,Situation: $i] :
( ~ ( hand_at @ Place @ Situation )
| ! [Thing: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( held @ Thing @ ( pick_up @ Situation ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(34,plain,
( ( ! [One_place: $i,Situation: $i] :
( ~ ( hand_at @ One_place @ Situation )
| ! [Thing: $i] :
( ~ ( held @ Thing @ Situation )
| ! [Place: $i] : ( at @ Thing @ Place @ ( go @ Place @ Situation ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(35,plain,
( ( ! [Thing: $i,Situation: $i] :
( ( held @ Thing @ Situation )
| ! [Place: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ! [Another_place: $i] : ( at @ Thing @ Place @ ( go @ Another_place @ Situation ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(36,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ~ ( grabbed @ Thing @ Situation )
| ! [Another_place: $i] : ( put @ Thing @ Another_place @ ( go @ Another_place @ Situation ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(37,plain,
( ( ! [Thing: $i] :
( ~ ( red @ Thing )
| ! [Situation: $i] :
( ~ ( put @ Thing @ there @ Situation )
| ( answer @ Situation ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(38,plain,
( ( ! [Thing: $i] :
( ! [Situation: $i] :
~ ( at @ Thing @ here @ Situation )
| ( red @ Thing ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(39,plain,
( ( ! [Place: $i,Situation: $i] :
( ~ ( hand_at @ Place @ Situation )
| ! [Another_place: $i] : ( hand_at @ Another_place @ ( go @ Another_place @ Situation ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(40,plain,
( ( ! [Situation: $i] :
~ ( answer @ Situation ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(41,plain,
( ( at @ something @ here @ now )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(42,plain,
( ( ! [Place: $i,Situation: $i] :
( ~ ( hand_at @ Place @ Situation )
| ( hand_at @ Place @ ( let_go @ Situation ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(43,plain,
( ( ! [Place: $i,Situation: $i] :
( ~ ( hand_at @ Place @ Situation )
| ! [Another_place: $i] : ( hand_at @ Another_place @ ( go @ Another_place @ Situation ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(44,plain,
( ( ! [Thing: $i,Situation: $i] :
~ ( held @ Thing @ ( let_go @ Situation ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(45,plain,
( ( ! [Thing: $i] :
( ! [Situation: $i] :
~ ( at @ Thing @ here @ Situation )
| ( red @ Thing ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(46,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( let_go @ Situation ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(47,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( pick_up @ Situation ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(48,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( grabbed @ Thing @ ( pick_up @ ( go @ Place @ ( let_go @ Situation ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(49,plain,
( ( ! [Thing: $i] :
( ~ ( red @ Thing )
| ! [Situation: $i] :
( ~ ( put @ Thing @ there @ Situation )
| ( answer @ Situation ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(50,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ~ ( grabbed @ Thing @ Situation )
| ! [Another_place: $i] : ( put @ Thing @ Another_place @ ( go @ Another_place @ Situation ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(51,plain,
( ( ! [Thing: $i,Situation: $i] :
( ( held @ Thing @ Situation )
| ! [Place: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ! [Another_place: $i] : ( at @ Thing @ Place @ ( go @ Another_place @ Situation ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(52,plain,
( ( ! [One_place: $i,Situation: $i] :
( ~ ( hand_at @ One_place @ Situation )
| ! [Thing: $i] :
( ~ ( held @ Thing @ Situation )
| ! [Place: $i] : ( at @ Thing @ Place @ ( go @ Place @ Situation ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(53,plain,
( ( ! [Place: $i,Situation: $i] :
( ~ ( hand_at @ Place @ Situation )
| ! [Thing: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( held @ Thing @ ( pick_up @ Situation ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(54,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(55,plain,
! [SV1: $i] :
( ( ~ ( answer @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(56,plain,
! [SV2: $i] :
( ( ! [SY36: $i] :
( ~ ( hand_at @ SV2 @ SY36 )
| ( hand_at @ SV2 @ ( let_go @ SY36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(57,plain,
! [SV3: $i] :
( ( ! [SY37: $i] :
( ~ ( hand_at @ SV3 @ SY37 )
| ! [Another_place: $i] : ( hand_at @ Another_place @ ( go @ Another_place @ SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(58,plain,
! [SV4: $i] :
( ( ! [SY39: $i] :
~ ( held @ SV4 @ ( let_go @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(59,plain,
! [SV5: $i] :
( ( ! [SY40: $i] :
~ ( at @ SV5 @ here @ SY40 )
| ( red @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(60,plain,
! [SV6: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ~ ( at @ SV6 @ SY41 @ SY42 )
| ( at @ SV6 @ SY41 @ ( let_go @ SY42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(61,plain,
! [SV7: $i] :
( ( ! [SY43: $i,SY44: $i] :
( ~ ( at @ SV7 @ SY43 @ SY44 )
| ( at @ SV7 @ SY43 @ ( pick_up @ SY44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(62,plain,
! [SV8: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ~ ( at @ SV8 @ SY45 @ SY46 )
| ( grabbed @ SV8 @ ( pick_up @ ( go @ SY45 @ ( let_go @ SY46 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(63,plain,
! [SV9: $i] :
( ( ~ ( red @ SV9 )
| ! [SY47: $i] :
( ~ ( put @ SV9 @ there @ SY47 )
| ( answer @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(64,plain,
! [SV10: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ( at @ SV10 @ SY48 @ SY49 )
| ~ ( grabbed @ SV10 @ SY49 )
| ! [SY50: $i] : ( put @ SV10 @ SY50 @ ( go @ SY50 @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(65,plain,
! [SV11: $i] :
( ( ! [SY51: $i] :
( ( held @ SV11 @ SY51 )
| ! [SY52: $i] :
( ~ ( at @ SV11 @ SY52 @ SY51 )
| ! [SY53: $i] : ( at @ SV11 @ SY52 @ ( go @ SY53 @ SY51 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(66,plain,
! [SV12: $i] :
( ( ! [SY54: $i] :
( ~ ( hand_at @ SV12 @ SY54 )
| ! [Thing: $i] :
( ~ ( held @ Thing @ SY54 )
| ! [Place: $i] : ( at @ Thing @ Place @ ( go @ Place @ SY54 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(67,plain,
! [SV13: $i] :
( ( ! [SY57: $i] :
( ~ ( hand_at @ SV13 @ SY57 )
| ! [SY58: $i] :
( ~ ( at @ SY58 @ SV13 @ SY57 )
| ( held @ SY58 @ ( pick_up @ SY57 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(68,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(69,plain,
! [SV1: $i] :
( ( answer @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(70,plain,
! [SV14: $i,SV2: $i] :
( ( ~ ( hand_at @ SV2 @ SV14 )
| ( hand_at @ SV2 @ ( let_go @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(71,plain,
! [SV15: $i,SV3: $i] :
( ( ~ ( hand_at @ SV3 @ SV15 )
| ! [SY59: $i] : ( hand_at @ SY59 @ ( go @ SY59 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(72,plain,
! [SV16: $i,SV4: $i] :
( ( ~ ( held @ SV4 @ ( let_go @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ! [SY40: $i] :
~ ( at @ SV5 @ here @ SY40 ) )
= $true )
| ( ( red @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(74,plain,
! [SV17: $i,SV6: $i] :
( ( ! [SY60: $i] :
( ~ ( at @ SV6 @ SV17 @ SY60 )
| ( at @ SV6 @ SV17 @ ( let_go @ SY60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(75,plain,
! [SV18: $i,SV7: $i] :
( ( ! [SY61: $i] :
( ~ ( at @ SV7 @ SV18 @ SY61 )
| ( at @ SV7 @ SV18 @ ( pick_up @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(76,plain,
! [SV19: $i,SV8: $i] :
( ( ! [SY62: $i] :
( ~ ( at @ SV8 @ SV19 @ SY62 )
| ( grabbed @ SV8 @ ( pick_up @ ( go @ SV19 @ ( let_go @ SY62 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(77,plain,
! [SV9: $i] :
( ( ( ~ ( red @ SV9 ) )
= $true )
| ( ( ! [SY47: $i] :
( ~ ( put @ SV9 @ there @ SY47 )
| ( answer @ SY47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(78,plain,
! [SV20: $i,SV10: $i] :
( ( ! [SY63: $i] :
( ~ ( at @ SV10 @ SV20 @ SY63 )
| ~ ( grabbed @ SV10 @ SY63 )
| ! [SY50: $i] : ( put @ SV10 @ SY50 @ ( go @ SY50 @ SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(79,plain,
! [SV21: $i,SV11: $i] :
( ( ( held @ SV11 @ SV21 )
| ! [SY65: $i] :
( ~ ( at @ SV11 @ SY65 @ SV21 )
| ! [SY66: $i] : ( at @ SV11 @ SY65 @ ( go @ SY66 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(80,plain,
! [SV22: $i,SV12: $i] :
( ( ~ ( hand_at @ SV12 @ SV22 )
| ! [SY67: $i] :
( ~ ( held @ SY67 @ SV22 )
| ! [SY68: $i] : ( at @ SY67 @ SY68 @ ( go @ SY68 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(81,plain,
! [SV23: $i,SV13: $i] :
( ( ~ ( hand_at @ SV13 @ SV23 )
| ! [SY69: $i] :
( ~ ( at @ SY69 @ SV13 @ SV23 )
| ( held @ SY69 @ ( pick_up @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(82,plain,
! [SV14: $i,SV2: $i] :
( ( ( ~ ( hand_at @ SV2 @ SV14 ) )
= $true )
| ( ( hand_at @ SV2 @ ( let_go @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(83,plain,
! [SV15: $i,SV3: $i] :
( ( ( ~ ( hand_at @ SV3 @ SV15 ) )
= $true )
| ( ( ! [SY59: $i] : ( hand_at @ SY59 @ ( go @ SY59 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(84,plain,
! [SV16: $i,SV4: $i] :
( ( held @ SV4 @ ( let_go @ SV16 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(85,plain,
! [SV24: $i,SV5: $i] :
( ( ( ~ ( at @ SV5 @ here @ SV24 ) )
= $true )
| ( ( red @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(86,plain,
! [SV25: $i,SV17: $i,SV6: $i] :
( ( ~ ( at @ SV6 @ SV17 @ SV25 )
| ( at @ SV6 @ SV17 @ ( let_go @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV26: $i,SV18: $i,SV7: $i] :
( ( ~ ( at @ SV7 @ SV18 @ SV26 )
| ( at @ SV7 @ SV18 @ ( pick_up @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(88,plain,
! [SV27: $i,SV19: $i,SV8: $i] :
( ( ~ ( at @ SV8 @ SV19 @ SV27 )
| ( grabbed @ SV8 @ ( pick_up @ ( go @ SV19 @ ( let_go @ SV27 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV9: $i] :
( ( ( red @ SV9 )
= $false )
| ( ( ! [SY47: $i] :
( ~ ( put @ SV9 @ there @ SY47 )
| ( answer @ SY47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV28: $i,SV20: $i,SV10: $i] :
( ( ~ ( at @ SV10 @ SV20 @ SV28 )
| ~ ( grabbed @ SV10 @ SV28 )
| ! [SY70: $i] : ( put @ SV10 @ SY70 @ ( go @ SY70 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV21: $i,SV11: $i] :
( ( ( held @ SV11 @ SV21 )
= $true )
| ( ( ! [SY65: $i] :
( ~ ( at @ SV11 @ SY65 @ SV21 )
| ! [SY66: $i] : ( at @ SV11 @ SY65 @ ( go @ SY66 @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV22: $i,SV12: $i] :
( ( ( ~ ( hand_at @ SV12 @ SV22 ) )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( held @ SY67 @ SV22 )
| ! [SY68: $i] : ( at @ SY67 @ SY68 @ ( go @ SY68 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV23: $i,SV13: $i] :
( ( ( ~ ( hand_at @ SV13 @ SV23 ) )
= $true )
| ( ( ! [SY69: $i] :
( ~ ( at @ SY69 @ SV13 @ SV23 )
| ( held @ SY69 @ ( pick_up @ SV23 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV14: $i,SV2: $i] :
( ( ( hand_at @ SV2 @ SV14 )
= $false )
| ( ( hand_at @ SV2 @ ( let_go @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV15: $i,SV3: $i] :
( ( ( hand_at @ SV3 @ SV15 )
= $false )
| ( ( ! [SY59: $i] : ( hand_at @ SY59 @ ( go @ SY59 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV24: $i,SV5: $i] :
( ( ( at @ SV5 @ here @ SV24 )
= $false )
| ( ( red @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(97,plain,
! [SV25: $i,SV17: $i,SV6: $i] :
( ( ( ~ ( at @ SV6 @ SV17 @ SV25 ) )
= $true )
| ( ( at @ SV6 @ SV17 @ ( let_go @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(98,plain,
! [SV26: $i,SV18: $i,SV7: $i] :
( ( ( ~ ( at @ SV7 @ SV18 @ SV26 ) )
= $true )
| ( ( at @ SV7 @ SV18 @ ( pick_up @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(99,plain,
! [SV27: $i,SV19: $i,SV8: $i] :
( ( ( ~ ( at @ SV8 @ SV19 @ SV27 ) )
= $true )
| ( ( grabbed @ SV8 @ ( pick_up @ ( go @ SV19 @ ( let_go @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(100,plain,
! [SV29: $i,SV9: $i] :
( ( ( ~ ( put @ SV9 @ there @ SV29 )
| ( answer @ SV29 ) )
= $true )
| ( ( red @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(101,plain,
! [SV28: $i,SV20: $i,SV10: $i] :
( ( ( ~ ( at @ SV10 @ SV20 @ SV28 ) )
= $true )
| ( ( ~ ( grabbed @ SV10 @ SV28 )
| ! [SY70: $i] : ( put @ SV10 @ SY70 @ ( go @ SY70 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV21: $i,SV30: $i,SV11: $i] :
( ( ( ~ ( at @ SV11 @ SV30 @ SV21 )
| ! [SY71: $i] : ( at @ SV11 @ SV30 @ ( go @ SY71 @ SV21 ) ) )
= $true )
| ( ( held @ SV11 @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV22: $i,SV12: $i] :
( ( ( hand_at @ SV12 @ SV22 )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( held @ SY67 @ SV22 )
| ! [SY68: $i] : ( at @ SY67 @ SY68 @ ( go @ SY68 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV23: $i,SV13: $i] :
( ( ( hand_at @ SV13 @ SV23 )
= $false )
| ( ( ! [SY69: $i] :
( ~ ( at @ SY69 @ SV13 @ SV23 )
| ( held @ SY69 @ ( pick_up @ SV23 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV3: $i,SV15: $i,SV31: $i] :
( ( ( hand_at @ SV31 @ ( go @ SV31 @ SV15 ) )
= $true )
| ( ( hand_at @ SV3 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(106,plain,
! [SV25: $i,SV17: $i,SV6: $i] :
( ( ( at @ SV6 @ SV17 @ SV25 )
= $false )
| ( ( at @ SV6 @ SV17 @ ( let_go @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(107,plain,
! [SV26: $i,SV18: $i,SV7: $i] :
( ( ( at @ SV7 @ SV18 @ SV26 )
= $false )
| ( ( at @ SV7 @ SV18 @ ( pick_up @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(108,plain,
! [SV27: $i,SV19: $i,SV8: $i] :
( ( ( at @ SV8 @ SV19 @ SV27 )
= $false )
| ( ( grabbed @ SV8 @ ( pick_up @ ( go @ SV19 @ ( let_go @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(109,plain,
! [SV29: $i,SV9: $i] :
( ( ( ~ ( put @ SV9 @ there @ SV29 ) )
= $true )
| ( ( answer @ SV29 )
= $true )
| ( ( red @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(110,plain,
! [SV28: $i,SV20: $i,SV10: $i] :
( ( ( at @ SV10 @ SV20 @ SV28 )
= $false )
| ( ( ~ ( grabbed @ SV10 @ SV28 )
| ! [SY70: $i] : ( put @ SV10 @ SY70 @ ( go @ SY70 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(111,plain,
! [SV21: $i,SV30: $i,SV11: $i] :
( ( ( ~ ( at @ SV11 @ SV30 @ SV21 ) )
= $true )
| ( ( ! [SY71: $i] : ( at @ SV11 @ SV30 @ ( go @ SY71 @ SV21 ) ) )
= $true )
| ( ( held @ SV11 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(112,plain,
! [SV12: $i,SV22: $i,SV32: $i] :
( ( ( ~ ( held @ SV32 @ SV22 )
| ! [SY72: $i] : ( at @ SV32 @ SY72 @ ( go @ SY72 @ SV22 ) ) )
= $true )
| ( ( hand_at @ SV12 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(113,plain,
! [SV23: $i,SV13: $i,SV33: $i] :
( ( ( ~ ( at @ SV33 @ SV13 @ SV23 )
| ( held @ SV33 @ ( pick_up @ SV23 ) ) )
= $true )
| ( ( hand_at @ SV13 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(114,plain,
! [SV29: $i,SV9: $i] :
( ( ( put @ SV9 @ there @ SV29 )
= $false )
| ( ( answer @ SV29 )
= $true )
| ( ( red @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(115,plain,
! [SV20: $i,SV28: $i,SV10: $i] :
( ( ( ~ ( grabbed @ SV10 @ SV28 ) )
= $true )
| ( ( ! [SY70: $i] : ( put @ SV10 @ SY70 @ ( go @ SY70 @ SV28 ) ) )
= $true )
| ( ( at @ SV10 @ SV20 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(116,plain,
! [SV21: $i,SV30: $i,SV11: $i] :
( ( ( at @ SV11 @ SV30 @ SV21 )
= $false )
| ( ( ! [SY71: $i] : ( at @ SV11 @ SV30 @ ( go @ SY71 @ SV21 ) ) )
= $true )
| ( ( held @ SV11 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(117,plain,
! [SV12: $i,SV22: $i,SV32: $i] :
( ( ( ~ ( held @ SV32 @ SV22 ) )
= $true )
| ( ( ! [SY72: $i] : ( at @ SV32 @ SY72 @ ( go @ SY72 @ SV22 ) ) )
= $true )
| ( ( hand_at @ SV12 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(118,plain,
! [SV23: $i,SV13: $i,SV33: $i] :
( ( ( ~ ( at @ SV33 @ SV13 @ SV23 ) )
= $true )
| ( ( held @ SV33 @ ( pick_up @ SV23 ) )
= $true )
| ( ( hand_at @ SV13 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(119,plain,
! [SV20: $i,SV28: $i,SV10: $i] :
( ( ( grabbed @ SV10 @ SV28 )
= $false )
| ( ( ! [SY70: $i] : ( put @ SV10 @ SY70 @ ( go @ SY70 @ SV28 ) ) )
= $true )
| ( ( at @ SV10 @ SV20 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(120,plain,
! [SV21: $i,SV34: $i,SV30: $i,SV11: $i] :
( ( ( at @ SV11 @ SV30 @ ( go @ SV34 @ SV21 ) )
= $true )
| ( ( at @ SV11 @ SV30 @ SV21 )
= $false )
| ( ( held @ SV11 @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(121,plain,
! [SV12: $i,SV22: $i,SV32: $i] :
( ( ( held @ SV32 @ SV22 )
= $false )
| ( ( ! [SY72: $i] : ( at @ SV32 @ SY72 @ ( go @ SY72 @ SV22 ) ) )
= $true )
| ( ( hand_at @ SV12 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(122,plain,
! [SV23: $i,SV13: $i,SV33: $i] :
( ( ( at @ SV33 @ SV13 @ SV23 )
= $false )
| ( ( held @ SV33 @ ( pick_up @ SV23 ) )
= $true )
| ( ( hand_at @ SV13 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(123,plain,
! [SV20: $i,SV28: $i,SV35: $i,SV10: $i] :
( ( ( put @ SV10 @ SV35 @ ( go @ SV35 @ SV28 ) )
= $true )
| ( ( grabbed @ SV10 @ SV28 )
= $false )
| ( ( at @ SV10 @ SV20 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(124,plain,
! [SV12: $i,SV22: $i,SV36: $i,SV32: $i] :
( ( ( at @ SV32 @ SV36 @ ( go @ SV36 @ SV22 ) )
= $true )
| ( ( held @ SV32 @ SV22 )
= $false )
| ( ( hand_at @ SV12 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(125,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[41,124,123,122,120,114,108,107,106,105,96,94,84,69,68]) ).
thf(126,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MSC002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 1 15:04:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36
% 0.14/0.36 No.of.Axioms: 14
% 0.14/0.36
% 0.14/0.36 Length.of.Defs: 0
% 0.14/0.36
% 0.14/0.36 Contains.Choice.Funs: false
% 0.14/0.37 (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).......
% 0.21/0.47
% 0.21/0.47 ********************************
% 0.21/0.47 * All subproblems solved! *
% 0.21/0.47 ********************************
% 0.21/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/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:125,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.47
% 0.21/0.47 %**** Beginning of derivation protocol ****
% 0.21/0.47 % SZS output start CNFRefutation
% See solution above
% 0.21/0.47
% 0.21/0.47 %**** End of derivation protocol ****
% 0.21/0.47 %**** no. of clauses in derivation: 126 ****
% 0.21/0.47 %**** clause counter: 125 ****
% 0.21/0.47
% 0.21/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/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:125,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------