TSTP Solution File: PUZ021-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ021-1 : 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 : n019.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 18:19:18 EDT 2022
% Result : Unsatisfiable 0.38s 0.60s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 127 ( 66 unt; 8 typ; 0 def)
% Number of atoms : 594 ( 155 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1060 ( 139 ~; 165 |; 0 &; 756 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 279 ( 0 ^ 279 !; 0 ?; 279 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_truth,type,
a_truth: $i > $i > $o ).
thf(tp_and,type,
and: $i > $i > $i ).
thf(tp_knave,type,
knave: $i > $i ).
thf(tp_knight,type,
knight: $i > $i ).
thf(tp_me,type,
me: $i ).
thf(tp_poor,type,
poor: $i > $i ).
thf(tp_rich,type,
rich: $i > $i ).
thf(tp_says,type,
says: $i > $i > $o ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( a_truth @ ( and @ X @ Y ) @ Z )
| ~ ( a_truth @ X @ Z )
| ~ ( a_truth @ Y @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction3) ).
thf(2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( a_truth @ ( and @ X @ Y ) @ Z )
| ( a_truth @ Y @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction2) ).
thf(3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( a_truth @ ( and @ X @ Y ) @ Z )
| ( a_truth @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction1) ).
thf(4,axiom,
! [X: $i,Z: $i,Y: $i] :
( ~ ( a_truth @ ( knave @ X ) @ Z )
| ( says @ X @ Y )
| ( a_truth @ Y @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knaves_lie2) ).
thf(5,axiom,
! [X: $i,Z: $i,Y: $i] :
( ~ ( a_truth @ ( knave @ X ) @ Z )
| ~ ( says @ X @ Y )
| ~ ( a_truth @ Y @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knaves_lie1) ).
thf(6,axiom,
! [X: $i,Z: $i,Y: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Z )
| ( says @ X @ Y )
| ~ ( a_truth @ Y @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_tell_truth2) ).
thf(7,axiom,
! [X: $i,Z: $i,Y: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Z )
| ~ ( says @ X @ Y )
| ( a_truth @ Y @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_tell_truth1) ).
thf(8,axiom,
! [X: $i,Y: $i] :
( ( a_truth @ ( rich @ X ) @ Y )
| ( a_truth @ ( poor @ X ) @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rich_or_poor) ).
thf(9,axiom,
! [X: $i,Y: $i] :
( ~ ( a_truth @ ( rich @ X ) @ Y )
| ~ ( a_truth @ ( poor @ X ) @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_rich_and_poor) ).
thf(10,axiom,
! [X: $i,Y: $i] :
( ( a_truth @ ( knight @ X ) @ Y )
| ( a_truth @ ( knave @ X ) @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knight_or_knave) ).
thf(11,axiom,
! [X: $i,Y: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Y )
| ~ ( a_truth @ ( knave @ X ) @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_knight_and_knave) ).
thf(12,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(13,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,negated_conjecture,
! [X: $i] :
( ( says @ me @ X )
| ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_statement_exists2) ).
thf(15,negated_conjecture,
! [X: $i] :
( ~ ( says @ me @ X )
| ~ ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_statement_exists1) ).
thf(16,plain,
$false = $false,
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( a_truth @ ( and @ X @ Y ) @ Z )
| ~ ( a_truth @ X @ Z )
| ~ ( a_truth @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(18,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( a_truth @ ( and @ X @ Y ) @ Z )
| ( a_truth @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(19,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( a_truth @ ( and @ X @ Y ) @ Z )
| ( a_truth @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(20,plain,
( ( ! [X: $i,Z: $i,Y: $i] :
( ~ ( a_truth @ ( knave @ X ) @ Z )
| ( says @ X @ Y )
| ( a_truth @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(21,plain,
( ( ! [X: $i,Z: $i,Y: $i] :
( ~ ( a_truth @ ( knave @ X ) @ Z )
| ~ ( says @ X @ Y )
| ~ ( a_truth @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(22,plain,
( ( ! [X: $i,Z: $i,Y: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Z )
| ( says @ X @ Y )
| ~ ( a_truth @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(23,plain,
( ( ! [X: $i,Z: $i,Y: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Z )
| ~ ( says @ X @ Y )
| ( a_truth @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i] :
( ( a_truth @ ( rich @ X ) @ Y )
| ( a_truth @ ( poor @ X ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( a_truth @ ( rich @ X ) @ Y )
| ~ ( a_truth @ ( poor @ X ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ( a_truth @ ( knight @ X ) @ Y )
| ( a_truth @ ( knave @ X ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Y )
| ~ ( a_truth @ ( knave @ X ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(28,plain,
( ( ! [X: $i] :
( ( says @ me @ X )
| ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(29,plain,
( ( ! [X: $i] :
( ~ ( says @ me @ X )
| ~ ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(30,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(31,plain,
( ( ! [X: $i,Z: $i] :
( ~ ( a_truth @ ( knave @ X ) @ Z )
| ! [Y: $i] :
( ( a_truth @ Y @ Z )
| ( says @ X @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(32,plain,
( ( ! [X: $i,Z: $i] :
( ~ ( a_truth @ ( knave @ X ) @ Z )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ~ ( a_truth @ Y @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(33,plain,
( ( ! [X: $i,Z: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Z )
| ! [Y: $i] :
( ( says @ X @ Y )
| ~ ( a_truth @ Y @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(34,plain,
( ( ! [X: $i,Z: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Z )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ( a_truth @ Y @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(35,plain,
( ( ! [X: $i] :
( ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ X )
| ( says @ me @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(36,plain,
( ( ! [X: $i] :
( ~ ( says @ me @ X )
| ~ ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(37,plain,
( ( ! [X: $i] :
( ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ X )
| ( says @ me @ X ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(38,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Y )
| ~ ( a_truth @ ( knave @ X ) @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(39,plain,
( ( ! [X: $i,Y: $i] :
( ( a_truth @ ( knight @ X ) @ Y )
| ( a_truth @ ( knave @ X ) @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( a_truth @ ( rich @ X ) @ Y )
| ~ ( a_truth @ ( poor @ X ) @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i] :
( ( a_truth @ ( rich @ X ) @ Y )
| ( a_truth @ ( poor @ X ) @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(42,plain,
( ( ! [X: $i,Z: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Z )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ( a_truth @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(43,plain,
( ( ! [X: $i,Z: $i] :
( ~ ( a_truth @ ( knight @ X ) @ Z )
| ! [Y: $i] :
( ( says @ X @ Y )
| ~ ( a_truth @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(44,plain,
( ( ! [X: $i,Z: $i] :
( ~ ( a_truth @ ( knave @ X ) @ Z )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ~ ( a_truth @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(45,plain,
( ( ! [X: $i,Z: $i] :
( ~ ( a_truth @ ( knave @ X ) @ Z )
| ! [Y: $i] :
( ( a_truth @ Y @ Z )
| ( says @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( a_truth @ ( and @ X @ Y ) @ Z )
| ( a_truth @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( a_truth @ ( and @ X @ Y ) @ Z )
| ( a_truth @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( a_truth @ ( and @ X @ Y ) @ Z )
| ~ ( a_truth @ X @ Z )
| ~ ( a_truth @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(49,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(50,plain,
! [SV1: $i] :
( ( ~ ( says @ me @ SV1 )
| ~ ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(51,plain,
! [SV2: $i] :
( ( ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ SV2 )
| ( says @ me @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(52,plain,
! [SV3: $i] :
( ( ! [SY31: $i] :
( ~ ( a_truth @ ( knight @ SV3 ) @ SY31 )
| ~ ( a_truth @ ( knave @ SV3 ) @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(53,plain,
! [SV4: $i] :
( ( ! [SY32: $i] :
( ( a_truth @ ( knight @ SV4 ) @ SY32 )
| ( a_truth @ ( knave @ SV4 ) @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(54,plain,
! [SV5: $i] :
( ( ! [SY33: $i] :
( ~ ( a_truth @ ( rich @ SV5 ) @ SY33 )
| ~ ( a_truth @ ( poor @ SV5 ) @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(55,plain,
! [SV6: $i] :
( ( ! [SY34: $i] :
( ( a_truth @ ( rich @ SV6 ) @ SY34 )
| ( a_truth @ ( poor @ SV6 ) @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(56,plain,
! [SV7: $i] :
( ( ! [SY35: $i] :
( ~ ( a_truth @ ( knight @ SV7 ) @ SY35 )
| ! [SY36: $i] :
( ~ ( says @ SV7 @ SY36 )
| ( a_truth @ SY36 @ SY35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(57,plain,
! [SV8: $i] :
( ( ! [SY37: $i] :
( ~ ( a_truth @ ( knight @ SV8 ) @ SY37 )
| ! [SY38: $i] :
( ( says @ SV8 @ SY38 )
| ~ ( a_truth @ SY38 @ SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(58,plain,
! [SV9: $i] :
( ( ! [SY39: $i] :
( ~ ( a_truth @ ( knave @ SV9 ) @ SY39 )
| ! [SY40: $i] :
( ~ ( says @ SV9 @ SY40 )
| ~ ( a_truth @ SY40 @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(59,plain,
! [SV10: $i] :
( ( ! [SY41: $i] :
( ~ ( a_truth @ ( knave @ SV10 ) @ SY41 )
| ! [SY42: $i] :
( ( a_truth @ SY42 @ SY41 )
| ( says @ SV10 @ SY42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(60,plain,
! [SV11: $i] :
( ( ! [SY43: $i,SY44: $i] :
( ~ ( a_truth @ ( and @ SV11 @ SY43 ) @ SY44 )
| ( a_truth @ SV11 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(61,plain,
! [SV12: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ~ ( a_truth @ ( and @ SV12 @ SY45 ) @ SY46 )
| ( a_truth @ SY45 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(62,plain,
! [SV13: $i] :
( ( ! [SY47: $i,SY48: $i] :
( ( a_truth @ ( and @ SV13 @ SY47 ) @ SY48 )
| ~ ( a_truth @ SV13 @ SY48 )
| ~ ( a_truth @ SY47 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(63,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(64,plain,
! [SV1: $i] :
( ( ( ~ ( says @ me @ SV1 ) )
= $true )
| ( ( ~ ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(65,plain,
! [SV2: $i] :
( ( ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ SV2 )
= $true )
| ( ( says @ me @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(66,plain,
! [SV14: $i,SV3: $i] :
( ( ~ ( a_truth @ ( knight @ SV3 ) @ SV14 )
| ~ ( a_truth @ ( knave @ SV3 ) @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(67,plain,
! [SV15: $i,SV4: $i] :
( ( ( a_truth @ ( knight @ SV4 ) @ SV15 )
| ( a_truth @ ( knave @ SV4 ) @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(68,plain,
! [SV16: $i,SV5: $i] :
( ( ~ ( a_truth @ ( rich @ SV5 ) @ SV16 )
| ~ ( a_truth @ ( poor @ SV5 ) @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(69,plain,
! [SV17: $i,SV6: $i] :
( ( ( a_truth @ ( rich @ SV6 ) @ SV17 )
| ( a_truth @ ( poor @ SV6 ) @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(70,plain,
! [SV18: $i,SV7: $i] :
( ( ~ ( a_truth @ ( knight @ SV7 ) @ SV18 )
| ! [SY49: $i] :
( ~ ( says @ SV7 @ SY49 )
| ( a_truth @ SY49 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(71,plain,
! [SV19: $i,SV8: $i] :
( ( ~ ( a_truth @ ( knight @ SV8 ) @ SV19 )
| ! [SY50: $i] :
( ( says @ SV8 @ SY50 )
| ~ ( a_truth @ SY50 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(72,plain,
! [SV20: $i,SV9: $i] :
( ( ~ ( a_truth @ ( knave @ SV9 ) @ SV20 )
| ! [SY51: $i] :
( ~ ( says @ SV9 @ SY51 )
| ~ ( a_truth @ SY51 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(73,plain,
! [SV21: $i,SV10: $i] :
( ( ~ ( a_truth @ ( knave @ SV10 ) @ SV21 )
| ! [SY52: $i] :
( ( a_truth @ SY52 @ SV21 )
| ( says @ SV10 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(74,plain,
! [SV22: $i,SV11: $i] :
( ( ! [SY53: $i] :
( ~ ( a_truth @ ( and @ SV11 @ SV22 ) @ SY53 )
| ( a_truth @ SV11 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(75,plain,
! [SV23: $i,SV12: $i] :
( ( ! [SY54: $i] :
( ~ ( a_truth @ ( and @ SV12 @ SV23 ) @ SY54 )
| ( a_truth @ SV23 @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(76,plain,
! [SV24: $i,SV13: $i] :
( ( ! [SY55: $i] :
( ( a_truth @ ( and @ SV13 @ SV24 ) @ SY55 )
| ~ ( a_truth @ SV13 @ SY55 )
| ~ ( a_truth @ SV24 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(77,plain,
! [SV1: $i] :
( ( ( says @ me @ SV1 )
= $false )
| ( ( ~ ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(78,plain,
! [SV14: $i,SV3: $i] :
( ( ( ~ ( a_truth @ ( knight @ SV3 ) @ SV14 ) )
= $true )
| ( ( ~ ( a_truth @ ( knave @ SV3 ) @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(79,plain,
! [SV15: $i,SV4: $i] :
( ( ( a_truth @ ( knight @ SV4 ) @ SV15 )
= $true )
| ( ( a_truth @ ( knave @ SV4 ) @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(80,plain,
! [SV16: $i,SV5: $i] :
( ( ( ~ ( a_truth @ ( rich @ SV5 ) @ SV16 ) )
= $true )
| ( ( ~ ( a_truth @ ( poor @ SV5 ) @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(81,plain,
! [SV17: $i,SV6: $i] :
( ( ( a_truth @ ( rich @ SV6 ) @ SV17 )
= $true )
| ( ( a_truth @ ( poor @ SV6 ) @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(82,plain,
! [SV18: $i,SV7: $i] :
( ( ( ~ ( a_truth @ ( knight @ SV7 ) @ SV18 ) )
= $true )
| ( ( ! [SY49: $i] :
( ~ ( says @ SV7 @ SY49 )
| ( a_truth @ SY49 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(83,plain,
! [SV19: $i,SV8: $i] :
( ( ( ~ ( a_truth @ ( knight @ SV8 ) @ SV19 ) )
= $true )
| ( ( ! [SY50: $i] :
( ( says @ SV8 @ SY50 )
| ~ ( a_truth @ SY50 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(84,plain,
! [SV20: $i,SV9: $i] :
( ( ( ~ ( a_truth @ ( knave @ SV9 ) @ SV20 ) )
= $true )
| ( ( ! [SY51: $i] :
( ~ ( says @ SV9 @ SY51 )
| ~ ( a_truth @ SY51 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(85,plain,
! [SV21: $i,SV10: $i] :
( ( ( ~ ( a_truth @ ( knave @ SV10 ) @ SV21 ) )
= $true )
| ( ( ! [SY52: $i] :
( ( a_truth @ SY52 @ SV21 )
| ( says @ SV10 @ SY52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(86,plain,
! [SV25: $i,SV22: $i,SV11: $i] :
( ( ~ ( a_truth @ ( and @ SV11 @ SV22 ) @ SV25 )
| ( a_truth @ SV11 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV26: $i,SV23: $i,SV12: $i] :
( ( ~ ( a_truth @ ( and @ SV12 @ SV23 ) @ SV26 )
| ( a_truth @ SV23 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(88,plain,
! [SV27: $i,SV24: $i,SV13: $i] :
( ( ( a_truth @ ( and @ SV13 @ SV24 ) @ SV27 )
| ~ ( a_truth @ SV13 @ SV27 )
| ~ ( a_truth @ SV24 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV1: $i] :
( ( ( a_truth @ ( and @ ( knave @ me ) @ ( rich @ me ) ) @ SV1 )
= $false )
| ( ( says @ me @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV14: $i,SV3: $i] :
( ( ( a_truth @ ( knight @ SV3 ) @ SV14 )
= $false )
| ( ( ~ ( a_truth @ ( knave @ SV3 ) @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV16: $i,SV5: $i] :
( ( ( a_truth @ ( rich @ SV5 ) @ SV16 )
= $false )
| ( ( ~ ( a_truth @ ( poor @ SV5 ) @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(92,plain,
! [SV18: $i,SV7: $i] :
( ( ( a_truth @ ( knight @ SV7 ) @ SV18 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( says @ SV7 @ SY49 )
| ( a_truth @ SY49 @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV19: $i,SV8: $i] :
( ( ( a_truth @ ( knight @ SV8 ) @ SV19 )
= $false )
| ( ( ! [SY50: $i] :
( ( says @ SV8 @ SY50 )
| ~ ( a_truth @ SY50 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV20: $i,SV9: $i] :
( ( ( a_truth @ ( knave @ SV9 ) @ SV20 )
= $false )
| ( ( ! [SY51: $i] :
( ~ ( says @ SV9 @ SY51 )
| ~ ( a_truth @ SY51 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(95,plain,
! [SV21: $i,SV10: $i] :
( ( ( a_truth @ ( knave @ SV10 ) @ SV21 )
= $false )
| ( ( ! [SY52: $i] :
( ( a_truth @ SY52 @ SV21 )
| ( says @ SV10 @ SY52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(96,plain,
! [SV25: $i,SV22: $i,SV11: $i] :
( ( ( ~ ( a_truth @ ( and @ SV11 @ SV22 ) @ SV25 ) )
= $true )
| ( ( a_truth @ SV11 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(97,plain,
! [SV26: $i,SV23: $i,SV12: $i] :
( ( ( ~ ( a_truth @ ( and @ SV12 @ SV23 ) @ SV26 ) )
= $true )
| ( ( a_truth @ SV23 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV27: $i,SV24: $i,SV13: $i] :
( ( ( a_truth @ ( and @ SV13 @ SV24 ) @ SV27 )
= $true )
| ( ( ~ ( a_truth @ SV13 @ SV27 )
| ~ ( a_truth @ SV24 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV14: $i,SV3: $i] :
( ( ( a_truth @ ( knave @ SV3 ) @ SV14 )
= $false )
| ( ( a_truth @ ( knight @ SV3 ) @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(100,plain,
! [SV16: $i,SV5: $i] :
( ( ( a_truth @ ( poor @ SV5 ) @ SV16 )
= $false )
| ( ( a_truth @ ( rich @ SV5 ) @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(101,plain,
! [SV18: $i,SV28: $i,SV7: $i] :
( ( ( ~ ( says @ SV7 @ SV28 )
| ( a_truth @ SV28 @ SV18 ) )
= $true )
| ( ( a_truth @ ( knight @ SV7 ) @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV19: $i,SV29: $i,SV8: $i] :
( ( ( ( says @ SV8 @ SV29 )
| ~ ( a_truth @ SV29 @ SV19 ) )
= $true )
| ( ( a_truth @ ( knight @ SV8 ) @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(103,plain,
! [SV20: $i,SV30: $i,SV9: $i] :
( ( ( ~ ( says @ SV9 @ SV30 )
| ~ ( a_truth @ SV30 @ SV20 ) )
= $true )
| ( ( a_truth @ ( knave @ SV9 ) @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(104,plain,
! [SV10: $i,SV21: $i,SV31: $i] :
( ( ( ( a_truth @ SV31 @ SV21 )
| ( says @ SV10 @ SV31 ) )
= $true )
| ( ( a_truth @ ( knave @ SV10 ) @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(105,plain,
! [SV25: $i,SV22: $i,SV11: $i] :
( ( ( a_truth @ ( and @ SV11 @ SV22 ) @ SV25 )
= $false )
| ( ( a_truth @ SV11 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV26: $i,SV23: $i,SV12: $i] :
( ( ( a_truth @ ( and @ SV12 @ SV23 ) @ SV26 )
= $false )
| ( ( a_truth @ SV23 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(107,plain,
! [SV24: $i,SV27: $i,SV13: $i] :
( ( ( ~ ( a_truth @ SV13 @ SV27 ) )
= $true )
| ( ( ~ ( a_truth @ SV24 @ SV27 ) )
= $true )
| ( ( a_truth @ ( and @ SV13 @ SV24 ) @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(108,plain,
! [SV18: $i,SV28: $i,SV7: $i] :
( ( ( ~ ( says @ SV7 @ SV28 ) )
= $true )
| ( ( a_truth @ SV28 @ SV18 )
= $true )
| ( ( a_truth @ ( knight @ SV7 ) @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(109,plain,
! [SV19: $i,SV29: $i,SV8: $i] :
( ( ( says @ SV8 @ SV29 )
= $true )
| ( ( ~ ( a_truth @ SV29 @ SV19 ) )
= $true )
| ( ( a_truth @ ( knight @ SV8 ) @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(110,plain,
! [SV20: $i,SV30: $i,SV9: $i] :
( ( ( ~ ( says @ SV9 @ SV30 ) )
= $true )
| ( ( ~ ( a_truth @ SV30 @ SV20 ) )
= $true )
| ( ( a_truth @ ( knave @ SV9 ) @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(111,plain,
! [SV10: $i,SV21: $i,SV31: $i] :
( ( ( a_truth @ SV31 @ SV21 )
= $true )
| ( ( says @ SV10 @ SV31 )
= $true )
| ( ( a_truth @ ( knave @ SV10 ) @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV24: $i,SV27: $i,SV13: $i] :
( ( ( a_truth @ SV13 @ SV27 )
= $false )
| ( ( ~ ( a_truth @ SV24 @ SV27 ) )
= $true )
| ( ( a_truth @ ( and @ SV13 @ SV24 ) @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(113,plain,
! [SV18: $i,SV28: $i,SV7: $i] :
( ( ( says @ SV7 @ SV28 )
= $false )
| ( ( a_truth @ SV28 @ SV18 )
= $true )
| ( ( a_truth @ ( knight @ SV7 ) @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(114,plain,
! [SV8: $i,SV19: $i,SV29: $i] :
( ( ( a_truth @ SV29 @ SV19 )
= $false )
| ( ( says @ SV8 @ SV29 )
= $true )
| ( ( a_truth @ ( knight @ SV8 ) @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(115,plain,
! [SV20: $i,SV30: $i,SV9: $i] :
( ( ( says @ SV9 @ SV30 )
= $false )
| ( ( ~ ( a_truth @ SV30 @ SV20 ) )
= $true )
| ( ( a_truth @ ( knave @ SV9 ) @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(116,plain,
! [SV13: $i,SV27: $i,SV24: $i] :
( ( ( a_truth @ SV24 @ SV27 )
= $false )
| ( ( a_truth @ SV13 @ SV27 )
= $false )
| ( ( a_truth @ ( and @ SV13 @ SV24 ) @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(117,plain,
! [SV9: $i,SV20: $i,SV30: $i] :
( ( ( a_truth @ SV30 @ SV20 )
= $false )
| ( ( says @ SV9 @ SV30 )
= $false )
| ( ( a_truth @ ( knave @ SV9 ) @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(118,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[63,117,116,114,113,111,106,105,100,99,89,81,79,65]) ).
thf(119,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 21:48:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 13
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:13,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:15,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.38/0.60
% 0.38/0.60 ********************************
% 0.38/0.60 * All subproblems solved! *
% 0.38/0.60 ********************************
% 0.38/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,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:118,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.38/0.60
% 0.38/0.60 %**** Beginning of derivation protocol ****
% 0.38/0.60 % SZS output start CNFRefutation
% See solution above
% 0.38/0.60
% 0.38/0.60 %**** End of derivation protocol ****
% 0.38/0.60 %**** no. of clauses in derivation: 119 ****
% 0.38/0.60 %**** clause counter: 118 ****
% 0.38/0.60
% 0.38/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,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:118,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------