TSTP Solution File: MSC002-2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MSC002-2 : 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 : n016.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 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 100 ( 56 unt; 13 typ; 0 def)
% Number of atoms : 399 ( 107 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 707 ( 81 ~; 98 |; 0 &; 528 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 217 ( 0 ^ 217 !; 0 ?; 217 :)
% 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_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,
! [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(2,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(3,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(4,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(5,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(6,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(7,axiom,
! [Thing: $i,Situation: $i] :
( ~ ( at @ Thing @ here @ Situation )
| ( red @ Thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everything_is_red) ).
thf(8,axiom,
! [Thing: $i,Situation: $i] :
~ ( held @ Thing @ ( let_go @ Situation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cant_hold_and_let_go) ).
thf(9,axiom,
at @ something @ here @ now,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_is_here_now) ).
thf(10,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(11,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[10]) ).
thf(12,negated_conjecture,
! [Situation: $i] :
~ ( answer @ Situation ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer_situation) ).
thf(13,plain,
$false = $false,
inference(unfold_def,[status(thm)],[11]) ).
thf(14,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)],[1]) ).
thf(15,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)],[2]) ).
thf(16,plain,
( ( ! [Thing: $i,Situation: $i] :
( ~ ( red @ Thing )
| ~ ( put @ Thing @ there @ Situation )
| ( answer @ Situation ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,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)],[4]) ).
thf(18,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( pick_up @ Situation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( let_go @ Situation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
( ( ! [Thing: $i,Situation: $i] :
( ~ ( at @ Thing @ here @ Situation )
| ( red @ Thing ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [Thing: $i,Situation: $i] :
~ ( held @ Thing @ ( let_go @ Situation ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(22,plain,
( ( at @ something @ here @ now )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(23,plain,
( ( ! [Situation: $i] :
~ ( answer @ Situation ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(24,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(25,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)],[14]) ).
thf(26,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)],[15]) ).
thf(27,plain,
( ( ! [Thing: $i] :
( ~ ( red @ Thing )
| ! [Situation: $i] :
( ~ ( put @ Thing @ there @ Situation )
| ( answer @ Situation ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(28,plain,
( ( ! [Thing: $i] :
( ! [Situation: $i] :
~ ( at @ Thing @ here @ Situation )
| ( red @ Thing ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(29,plain,
( ( ! [Situation: $i] :
~ ( answer @ Situation ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(30,plain,
( ( at @ something @ here @ now )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(31,plain,
( ( ! [Thing: $i,Situation: $i] :
~ ( held @ Thing @ ( let_go @ Situation ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(32,plain,
( ( ! [Thing: $i] :
( ! [Situation: $i] :
~ ( at @ Thing @ here @ Situation )
| ( red @ Thing ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(33,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( let_go @ Situation ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(34,plain,
( ( ! [Thing: $i,Place: $i,Situation: $i] :
( ~ ( at @ Thing @ Place @ Situation )
| ( at @ Thing @ Place @ ( pick_up @ Situation ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(35,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)],[17]) ).
thf(36,plain,
( ( ! [Thing: $i] :
( ~ ( red @ Thing )
| ! [Situation: $i] :
( ~ ( put @ Thing @ there @ Situation )
| ( answer @ Situation ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(37,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)],[26]) ).
thf(38,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)],[25]) ).
thf(39,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(40,plain,
! [SV1: $i] :
( ( ~ ( answer @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(41,plain,
! [SV2: $i] :
( ( ! [SY24: $i] :
~ ( held @ SV2 @ ( let_go @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(42,plain,
! [SV3: $i] :
( ( ! [SY25: $i] :
~ ( at @ SV3 @ here @ SY25 )
| ( red @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(43,plain,
! [SV4: $i] :
( ( ! [SY26: $i,SY27: $i] :
( ~ ( at @ SV4 @ SY26 @ SY27 )
| ( at @ SV4 @ SY26 @ ( let_go @ SY27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(44,plain,
! [SV5: $i] :
( ( ! [SY28: $i,SY29: $i] :
( ~ ( at @ SV5 @ SY28 @ SY29 )
| ( at @ SV5 @ SY28 @ ( pick_up @ SY29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(45,plain,
! [SV6: $i] :
( ( ! [SY30: $i,SY31: $i] :
( ~ ( at @ SV6 @ SY30 @ SY31 )
| ( grabbed @ SV6 @ ( pick_up @ ( go @ SY30 @ ( let_go @ SY31 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(46,plain,
! [SV7: $i] :
( ( ~ ( red @ SV7 )
| ! [SY32: $i] :
( ~ ( put @ SV7 @ there @ SY32 )
| ( answer @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(47,plain,
! [SV8: $i] :
( ( ! [SY33: $i,SY34: $i] :
( ~ ( at @ SV8 @ SY33 @ SY34 )
| ~ ( grabbed @ SV8 @ SY34 )
| ! [SY35: $i] : ( put @ SV8 @ SY35 @ ( go @ SY35 @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(48,plain,
! [SV9: $i] :
( ( ! [SY36: $i] :
( ( held @ SV9 @ SY36 )
| ! [SY37: $i] :
( ~ ( at @ SV9 @ SY37 @ SY36 )
| ! [SY38: $i] : ( at @ SV9 @ SY37 @ ( go @ SY38 @ SY36 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(49,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(50,plain,
! [SV1: $i] :
( ( answer @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(51,plain,
! [SV10: $i,SV2: $i] :
( ( ~ ( held @ SV2 @ ( let_go @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(52,plain,
! [SV3: $i] :
( ( ( ! [SY25: $i] :
~ ( at @ SV3 @ here @ SY25 ) )
= $true )
| ( ( red @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(53,plain,
! [SV11: $i,SV4: $i] :
( ( ! [SY39: $i] :
( ~ ( at @ SV4 @ SV11 @ SY39 )
| ( at @ SV4 @ SV11 @ ( let_go @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(54,plain,
! [SV12: $i,SV5: $i] :
( ( ! [SY40: $i] :
( ~ ( at @ SV5 @ SV12 @ SY40 )
| ( at @ SV5 @ SV12 @ ( pick_up @ SY40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(55,plain,
! [SV13: $i,SV6: $i] :
( ( ! [SY41: $i] :
( ~ ( at @ SV6 @ SV13 @ SY41 )
| ( grabbed @ SV6 @ ( pick_up @ ( go @ SV13 @ ( let_go @ SY41 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(56,plain,
! [SV7: $i] :
( ( ( ~ ( red @ SV7 ) )
= $true )
| ( ( ! [SY32: $i] :
( ~ ( put @ SV7 @ there @ SY32 )
| ( answer @ SY32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(57,plain,
! [SV14: $i,SV8: $i] :
( ( ! [SY42: $i] :
( ~ ( at @ SV8 @ SV14 @ SY42 )
| ~ ( grabbed @ SV8 @ SY42 )
| ! [SY35: $i] : ( put @ SV8 @ SY35 @ ( go @ SY35 @ SY42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(58,plain,
! [SV15: $i,SV9: $i] :
( ( ( held @ SV9 @ SV15 )
| ! [SY44: $i] :
( ~ ( at @ SV9 @ SY44 @ SV15 )
| ! [SY45: $i] : ( at @ SV9 @ SY44 @ ( go @ SY45 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(59,plain,
! [SV10: $i,SV2: $i] :
( ( held @ SV2 @ ( let_go @ SV10 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( at @ SV3 @ here @ SV16 ) )
= $true )
| ( ( red @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV17: $i,SV11: $i,SV4: $i] :
( ( ~ ( at @ SV4 @ SV11 @ SV17 )
| ( at @ SV4 @ SV11 @ ( let_go @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(62,plain,
! [SV18: $i,SV12: $i,SV5: $i] :
( ( ~ ( at @ SV5 @ SV12 @ SV18 )
| ( at @ SV5 @ SV12 @ ( pick_up @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV19: $i,SV13: $i,SV6: $i] :
( ( ~ ( at @ SV6 @ SV13 @ SV19 )
| ( grabbed @ SV6 @ ( pick_up @ ( go @ SV13 @ ( let_go @ SV19 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV7: $i] :
( ( ( red @ SV7 )
= $false )
| ( ( ! [SY32: $i] :
( ~ ( put @ SV7 @ there @ SY32 )
| ( answer @ SY32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV20: $i,SV14: $i,SV8: $i] :
( ( ~ ( at @ SV8 @ SV14 @ SV20 )
| ~ ( grabbed @ SV8 @ SV20 )
| ! [SY46: $i] : ( put @ SV8 @ SY46 @ ( go @ SY46 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV15: $i,SV9: $i] :
( ( ( held @ SV9 @ SV15 )
= $true )
| ( ( ! [SY44: $i] :
( ~ ( at @ SV9 @ SY44 @ SV15 )
| ! [SY45: $i] : ( at @ SV9 @ SY44 @ ( go @ SY45 @ SV15 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(67,plain,
! [SV16: $i,SV3: $i] :
( ( ( at @ SV3 @ here @ SV16 )
= $false )
| ( ( red @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV17: $i,SV11: $i,SV4: $i] :
( ( ( ~ ( at @ SV4 @ SV11 @ SV17 ) )
= $true )
| ( ( at @ SV4 @ SV11 @ ( let_go @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV18: $i,SV12: $i,SV5: $i] :
( ( ( ~ ( at @ SV5 @ SV12 @ SV18 ) )
= $true )
| ( ( at @ SV5 @ SV12 @ ( pick_up @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV19: $i,SV13: $i,SV6: $i] :
( ( ( ~ ( at @ SV6 @ SV13 @ SV19 ) )
= $true )
| ( ( grabbed @ SV6 @ ( pick_up @ ( go @ SV13 @ ( let_go @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV21: $i,SV7: $i] :
( ( ( ~ ( put @ SV7 @ there @ SV21 )
| ( answer @ SV21 ) )
= $true )
| ( ( red @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV20: $i,SV14: $i,SV8: $i] :
( ( ( ~ ( at @ SV8 @ SV14 @ SV20 ) )
= $true )
| ( ( ~ ( grabbed @ SV8 @ SV20 )
| ! [SY46: $i] : ( put @ SV8 @ SY46 @ ( go @ SY46 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV15: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( at @ SV9 @ SV22 @ SV15 )
| ! [SY47: $i] : ( at @ SV9 @ SV22 @ ( go @ SY47 @ SV15 ) ) )
= $true )
| ( ( held @ SV9 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV17: $i,SV11: $i,SV4: $i] :
( ( ( at @ SV4 @ SV11 @ SV17 )
= $false )
| ( ( at @ SV4 @ SV11 @ ( let_go @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(75,plain,
! [SV18: $i,SV12: $i,SV5: $i] :
( ( ( at @ SV5 @ SV12 @ SV18 )
= $false )
| ( ( at @ SV5 @ SV12 @ ( pick_up @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(76,plain,
! [SV19: $i,SV13: $i,SV6: $i] :
( ( ( at @ SV6 @ SV13 @ SV19 )
= $false )
| ( ( grabbed @ SV6 @ ( pick_up @ ( go @ SV13 @ ( let_go @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(77,plain,
! [SV21: $i,SV7: $i] :
( ( ( ~ ( put @ SV7 @ there @ SV21 ) )
= $true )
| ( ( answer @ SV21 )
= $true )
| ( ( red @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV20: $i,SV14: $i,SV8: $i] :
( ( ( at @ SV8 @ SV14 @ SV20 )
= $false )
| ( ( ~ ( grabbed @ SV8 @ SV20 )
| ! [SY46: $i] : ( put @ SV8 @ SY46 @ ( go @ SY46 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV15: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( at @ SV9 @ SV22 @ SV15 ) )
= $true )
| ( ( ! [SY47: $i] : ( at @ SV9 @ SV22 @ ( go @ SY47 @ SV15 ) ) )
= $true )
| ( ( held @ SV9 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(80,plain,
! [SV21: $i,SV7: $i] :
( ( ( put @ SV7 @ there @ SV21 )
= $false )
| ( ( answer @ SV21 )
= $true )
| ( ( red @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(81,plain,
! [SV14: $i,SV20: $i,SV8: $i] :
( ( ( ~ ( grabbed @ SV8 @ SV20 ) )
= $true )
| ( ( ! [SY46: $i] : ( put @ SV8 @ SY46 @ ( go @ SY46 @ SV20 ) ) )
= $true )
| ( ( at @ SV8 @ SV14 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(82,plain,
! [SV15: $i,SV22: $i,SV9: $i] :
( ( ( at @ SV9 @ SV22 @ SV15 )
= $false )
| ( ( ! [SY47: $i] : ( at @ SV9 @ SV22 @ ( go @ SY47 @ SV15 ) ) )
= $true )
| ( ( held @ SV9 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(83,plain,
! [SV14: $i,SV20: $i,SV8: $i] :
( ( ( grabbed @ SV8 @ SV20 )
= $false )
| ( ( ! [SY46: $i] : ( put @ SV8 @ SY46 @ ( go @ SY46 @ SV20 ) ) )
= $true )
| ( ( at @ SV8 @ SV14 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(84,plain,
! [SV15: $i,SV23: $i,SV22: $i,SV9: $i] :
( ( ( at @ SV9 @ SV22 @ ( go @ SV23 @ SV15 ) )
= $true )
| ( ( at @ SV9 @ SV22 @ SV15 )
= $false )
| ( ( held @ SV9 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(85,plain,
! [SV14: $i,SV20: $i,SV24: $i,SV8: $i] :
( ( ( put @ SV8 @ SV24 @ ( go @ SV24 @ SV20 ) )
= $true )
| ( ( grabbed @ SV8 @ SV20 )
= $false )
| ( ( at @ SV8 @ SV14 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(86,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,85,84,80,76,75,74,67,59,50,49]) ).
thf(87,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MSC002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jul 1 15:29:42 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33
% 0.12/0.33 No.of.Axioms: 10
% 0.12/0.33
% 0.12/0.33 Length.of.Defs: 0
% 0.12/0.33
% 0.12/0.33 Contains.Choice.Funs: false
% 0.12/0.33 (rf:0,axioms:10,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:12,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.19/0.39
% 0.19/0.39 ********************************
% 0.19/0.39 * All subproblems solved! *
% 0.19/0.39 ********************************
% 0.19/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:10,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:86,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.39
% 0.19/0.39 %**** Beginning of derivation protocol ****
% 0.19/0.39 % SZS output start CNFRefutation
% See solution above
% 0.19/0.39
% 0.19/0.39 %**** End of derivation protocol ****
% 0.19/0.39 %**** no. of clauses in derivation: 87 ****
% 0.19/0.39 %**** clause counter: 86 ****
% 0.19/0.39
% 0.19/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:10,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:86,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------