TSTP Solution File: PUZ035-3 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ035-3 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n020.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 18:19:21 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 27
% Syntax : Number of formulae : 146 ( 65 unt; 10 typ; 0 def)
% Number of atoms : 746 ( 201 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1159 ( 175 ~; 208 |; 0 &; 776 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 227 ( 0 ^ 227 !; 0 ?; 227 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_asked,type,
asked: $i ).
thf(tp_isa,type,
isa: $i > $i > $i ).
thf(tp_knave,type,
knave: $i ).
thf(tp_knight,type,
knight: $i ).
thf(tp_not,type,
not: $i > $i ).
thf(tp_or,type,
or: $i > $i > $i ).
thf(tp_other,type,
other: $i ).
thf(tp_person,type,
person: $i > $o ).
thf(tp_says,type,
says: $i > $i > $o ).
thf(tp_truth,type,
truth: $i > $o ).
thf(1,axiom,
person @ other,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',other_person) ).
thf(2,axiom,
person @ asked,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',asked_person) ).
thf(3,axiom,
! [S2: $i,Anything: $i] :
( ~ ( truth @ S2 )
| ~ ( truth @ ( not @ ( or @ Anything @ S2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not2) ).
thf(4,axiom,
! [S1: $i,Anything: $i] :
( ~ ( truth @ S1 )
| ~ ( truth @ ( not @ ( or @ S1 @ Anything ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1) ).
thf(5,axiom,
! [S1: $i,S2: $i] :
( ( truth @ S1 )
| ( truth @ S2 )
| ~ ( truth @ ( or @ S1 @ S2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_def) ).
thf(6,axiom,
! [S: $i] :
( ~ ( truth @ S )
| ~ ( truth @ ( not @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',statements_are_true_or_false3) ).
thf(7,axiom,
! [S: $i,Anyone: $i] :
( ( truth @ S )
| ( truth @ ( not @ S ) )
| ~ ( says @ Anyone @ ( not @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',statements_are_true_or_false2) ).
thf(8,axiom,
! [S: $i,Anyone: $i] :
( ( truth @ S )
| ( truth @ ( not @ S ) )
| ~ ( says @ Anyone @ S ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',statements_are_true_or_false) ).
thf(9,axiom,
( ( says @ asked @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) )
| ( says @ asked @ ( not @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_is_knight_answer) ).
thf(10,axiom,
! [P: $i,S: $i] :
( ( truth @ ( isa @ P @ knave ) )
| ~ ( says @ P @ S )
| ~ ( truth @ ( not @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knaves_make_false_statements2) ).
thf(11,axiom,
! [S: $i,P: $i] :
( ( truth @ ( not @ S ) )
| ~ ( says @ P @ S )
| ~ ( truth @ ( isa @ P @ knave ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knaves_make_false_statements1) ).
thf(12,axiom,
! [P: $i,S: $i] :
( ( truth @ ( isa @ P @ knight ) )
| ~ ( says @ P @ S )
| ~ ( truth @ S ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_make_true_statements2) ).
thf(13,axiom,
! [S: $i,P: $i] :
( ( truth @ S )
| ~ ( says @ P @ S )
| ~ ( truth @ ( isa @ P @ knight ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_make_true_statements1) ).
thf(14,axiom,
! [P: $i] :
( ~ ( truth @ ( isa @ P @ knight ) )
| ~ ( truth @ ( isa @ P @ knave ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_both_a_knight_and_knave) ).
thf(15,axiom,
! [P: $i] :
( ~ ( person @ P )
| ( truth @ ( isa @ P @ knight ) )
| ( truth @ ( isa @ P @ knave ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
thf(16,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(17,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[16]) ).
thf(18,negated_conjecture,
! [P1: $i,P2: $i,S: $i] :
( ~ ( truth @ ( isa @ asked @ P1 ) )
| ~ ( truth @ ( isa @ other @ P2 ) )
| ~ ( says @ asked @ S ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_answer) ).
thf(19,plain,
$false = $false,
inference(unfold_def,[status(thm)],[17]) ).
thf(20,plain,
( ( person @ other )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(21,plain,
( ( person @ asked )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(22,plain,
( ( ! [S2: $i,Anything: $i] :
( ~ ( truth @ S2 )
| ~ ( truth @ ( not @ ( or @ Anything @ S2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(23,plain,
( ( ! [S1: $i,Anything: $i] :
( ~ ( truth @ S1 )
| ~ ( truth @ ( not @ ( or @ S1 @ Anything ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(24,plain,
( ( ! [S1: $i,S2: $i] :
( ( truth @ S1 )
| ( truth @ S2 )
| ~ ( truth @ ( or @ S1 @ S2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(25,plain,
( ( ! [S: $i] :
( ~ ( truth @ S )
| ~ ( truth @ ( not @ S ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(26,plain,
( ( ! [S: $i,Anyone: $i] :
( ( truth @ S )
| ( truth @ ( not @ S ) )
| ~ ( says @ Anyone @ ( not @ S ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(27,plain,
( ( ! [S: $i,Anyone: $i] :
( ( truth @ S )
| ( truth @ ( not @ S ) )
| ~ ( says @ Anyone @ S ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(28,plain,
( ( ( says @ asked @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) )
| ( says @ asked @ ( not @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(29,plain,
( ( ! [P: $i,S: $i] :
( ( truth @ ( isa @ P @ knave ) )
| ~ ( says @ P @ S )
| ~ ( truth @ ( not @ S ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(30,plain,
( ( ! [S: $i,P: $i] :
( ( truth @ ( not @ S ) )
| ~ ( says @ P @ S )
| ~ ( truth @ ( isa @ P @ knave ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(31,plain,
( ( ! [P: $i,S: $i] :
( ( truth @ ( isa @ P @ knight ) )
| ~ ( says @ P @ S )
| ~ ( truth @ S ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(32,plain,
( ( ! [S: $i,P: $i] :
( ( truth @ S )
| ~ ( says @ P @ S )
| ~ ( truth @ ( isa @ P @ knight ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(33,plain,
( ( ! [P: $i] :
( ~ ( truth @ ( isa @ P @ knight ) )
| ~ ( truth @ ( isa @ P @ knave ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(34,plain,
( ( ! [P: $i] :
( ~ ( person @ P )
| ( truth @ ( isa @ P @ knight ) )
| ( truth @ ( isa @ P @ knave ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(35,plain,
( ( ! [P1: $i,P2: $i,S: $i] :
( ~ ( truth @ ( isa @ asked @ P1 ) )
| ~ ( truth @ ( isa @ other @ P2 ) )
| ~ ( says @ asked @ S ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(36,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(37,plain,
( ( ! [S2: $i] :
( ~ ( truth @ S2 )
| ! [Anything: $i] :
~ ( truth @ ( not @ ( or @ Anything @ S2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(38,plain,
( ( ! [S1: $i] :
( ~ ( truth @ S1 )
| ! [Anything: $i] :
~ ( truth @ ( not @ ( or @ S1 @ Anything ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(39,plain,
( ( ! [S1: $i] :
( ( truth @ S1 )
| ! [S2: $i] :
( ( truth @ S2 )
| ~ ( truth @ ( or @ S1 @ S2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(40,plain,
( ( ! [S: $i] :
( ( truth @ S )
| ( truth @ ( not @ S ) )
| ! [Anyone: $i] :
~ ( says @ Anyone @ ( not @ S ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(41,plain,
( ( ! [S: $i] :
( ( truth @ S )
| ( truth @ ( not @ S ) )
| ! [Anyone: $i] :
~ ( says @ Anyone @ S ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(42,plain,
( ( ! [P: $i] :
( ( truth @ ( isa @ P @ knave ) )
| ! [S: $i] :
( ~ ( says @ P @ S )
| ~ ( truth @ ( not @ S ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(43,plain,
( ( ! [S: $i] :
( ( truth @ ( not @ S ) )
| ! [P: $i] :
( ~ ( says @ P @ S )
| ~ ( truth @ ( isa @ P @ knave ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(44,plain,
( ( ! [P: $i] :
( ( truth @ ( isa @ P @ knight ) )
| ! [S: $i] :
( ~ ( says @ P @ S )
| ~ ( truth @ S ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(45,plain,
( ( ! [S: $i] :
( ( truth @ S )
| ! [P: $i] :
( ~ ( says @ P @ S )
| ~ ( truth @ ( isa @ P @ knight ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(46,plain,
( ( ! [P1: $i] :
( ~ ( truth @ ( isa @ asked @ P1 ) )
| ! [P2: $i] :
~ ( truth @ ( isa @ other @ P2 ) )
| ! [S: $i] :
~ ( says @ asked @ S ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(47,plain,
( ( ! [P1: $i] :
( ~ ( truth @ ( isa @ asked @ P1 ) )
| ! [P2: $i] :
~ ( truth @ ( isa @ other @ P2 ) )
| ! [S: $i] :
~ ( says @ asked @ S ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(48,plain,
( ( ! [P: $i] :
( ~ ( person @ P )
| ( truth @ ( isa @ P @ knight ) )
| ( truth @ ( isa @ P @ knave ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(49,plain,
( ( ! [P: $i] :
( ~ ( truth @ ( isa @ P @ knight ) )
| ~ ( truth @ ( isa @ P @ knave ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(50,plain,
( ( ! [S: $i] :
( ( truth @ S )
| ! [P: $i] :
( ~ ( says @ P @ S )
| ~ ( truth @ ( isa @ P @ knight ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(51,plain,
( ( ! [P: $i] :
( ( truth @ ( isa @ P @ knight ) )
| ! [S: $i] :
( ~ ( says @ P @ S )
| ~ ( truth @ S ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(52,plain,
( ( ! [S: $i] :
( ( truth @ ( not @ S ) )
| ! [P: $i] :
( ~ ( says @ P @ S )
| ~ ( truth @ ( isa @ P @ knave ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(53,plain,
( ( ! [P: $i] :
( ( truth @ ( isa @ P @ knave ) )
| ! [S: $i] :
( ~ ( says @ P @ S )
| ~ ( truth @ ( not @ S ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(54,plain,
( ( ( says @ asked @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) )
| ( says @ asked @ ( not @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(55,plain,
( ( ! [S: $i] :
( ( truth @ S )
| ( truth @ ( not @ S ) )
| ! [Anyone: $i] :
~ ( says @ Anyone @ S ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(56,plain,
( ( ! [S: $i] :
( ( truth @ S )
| ( truth @ ( not @ S ) )
| ! [Anyone: $i] :
~ ( says @ Anyone @ ( not @ S ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(57,plain,
( ( ! [S: $i] :
( ~ ( truth @ S )
| ~ ( truth @ ( not @ S ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(58,plain,
( ( ! [S1: $i] :
( ( truth @ S1 )
| ! [S2: $i] :
( ( truth @ S2 )
| ~ ( truth @ ( or @ S1 @ S2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(59,plain,
( ( ! [S1: $i] :
( ~ ( truth @ S1 )
| ! [Anything: $i] :
~ ( truth @ ( not @ ( or @ S1 @ Anything ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(60,plain,
( ( ! [S2: $i] :
( ~ ( truth @ S2 )
| ! [Anything: $i] :
~ ( truth @ ( not @ ( or @ Anything @ S2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(61,plain,
( ( person @ asked )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(62,plain,
( ( person @ other )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(63,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(64,plain,
! [SV1: $i] :
( ( ~ ( truth @ ( isa @ asked @ SV1 ) )
| ! [P2: $i] :
~ ( truth @ ( isa @ other @ P2 ) )
| ! [S: $i] :
~ ( says @ asked @ S ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(65,plain,
! [SV2: $i] :
( ( ~ ( person @ SV2 )
| ( truth @ ( isa @ SV2 @ knight ) )
| ( truth @ ( isa @ SV2 @ knave ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(66,plain,
! [SV3: $i] :
( ( ~ ( truth @ ( isa @ SV3 @ knight ) )
| ~ ( truth @ ( isa @ SV3 @ knave ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(67,plain,
! [SV4: $i] :
( ( ( truth @ SV4 )
| ! [SY26: $i] :
( ~ ( says @ SY26 @ SV4 )
| ~ ( truth @ ( isa @ SY26 @ knight ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(68,plain,
! [SV5: $i] :
( ( ( truth @ ( isa @ SV5 @ knight ) )
| ! [SY27: $i] :
( ~ ( says @ SV5 @ SY27 )
| ~ ( truth @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(69,plain,
! [SV6: $i] :
( ( ( truth @ ( not @ SV6 ) )
| ! [SY28: $i] :
( ~ ( says @ SY28 @ SV6 )
| ~ ( truth @ ( isa @ SY28 @ knave ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(70,plain,
! [SV7: $i] :
( ( ( truth @ ( isa @ SV7 @ knave ) )
| ! [SY29: $i] :
( ~ ( says @ SV7 @ SY29 )
| ~ ( truth @ ( not @ SY29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(71,plain,
( ( ( says @ asked @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) )
= $true )
| ( ( says @ asked @ ( not @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(72,plain,
! [SV8: $i] :
( ( ( truth @ SV8 )
| ( truth @ ( not @ SV8 ) )
| ! [SY30: $i] :
~ ( says @ SY30 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(73,plain,
! [SV9: $i] :
( ( ( truth @ SV9 )
| ( truth @ ( not @ SV9 ) )
| ! [SY31: $i] :
~ ( says @ SY31 @ ( not @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(74,plain,
! [SV10: $i] :
( ( ~ ( truth @ SV10 )
| ~ ( truth @ ( not @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(75,plain,
! [SV11: $i] :
( ( ( truth @ SV11 )
| ! [SY32: $i] :
( ( truth @ SY32 )
| ~ ( truth @ ( or @ SV11 @ SY32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(76,plain,
! [SV12: $i] :
( ( ~ ( truth @ SV12 )
| ! [SY33: $i] :
~ ( truth @ ( not @ ( or @ SV12 @ SY33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(77,plain,
! [SV13: $i] :
( ( ~ ( truth @ SV13 )
| ! [SY34: $i] :
~ ( truth @ ( not @ ( or @ SY34 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(78,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(79,plain,
! [SV1: $i] :
( ( ( ~ ( truth @ ( isa @ asked @ SV1 ) ) )
= $true )
| ( ( ! [P2: $i] :
~ ( truth @ ( isa @ other @ P2 ) )
| ! [S: $i] :
~ ( says @ asked @ S ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(80,plain,
! [SV2: $i] :
( ( ( ~ ( person @ SV2 ) )
= $true )
| ( ( ( truth @ ( isa @ SV2 @ knight ) )
| ( truth @ ( isa @ SV2 @ knave ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(81,plain,
! [SV3: $i] :
( ( ( ~ ( truth @ ( isa @ SV3 @ knight ) ) )
= $true )
| ( ( ~ ( truth @ ( isa @ SV3 @ knave ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(82,plain,
! [SV4: $i] :
( ( ( truth @ SV4 )
= $true )
| ( ( ! [SY26: $i] :
( ~ ( says @ SY26 @ SV4 )
| ~ ( truth @ ( isa @ SY26 @ knight ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(83,plain,
! [SV5: $i] :
( ( ( truth @ ( isa @ SV5 @ knight ) )
= $true )
| ( ( ! [SY27: $i] :
( ~ ( says @ SV5 @ SY27 )
| ~ ( truth @ SY27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(84,plain,
! [SV6: $i] :
( ( ( truth @ ( not @ SV6 ) )
= $true )
| ( ( ! [SY28: $i] :
( ~ ( says @ SY28 @ SV6 )
| ~ ( truth @ ( isa @ SY28 @ knave ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(85,plain,
! [SV7: $i] :
( ( ( truth @ ( isa @ SV7 @ knave ) )
= $true )
| ( ( ! [SY29: $i] :
( ~ ( says @ SV7 @ SY29 )
| ~ ( truth @ ( not @ SY29 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(86,plain,
! [SV8: $i] :
( ( ( truth @ SV8 )
= $true )
| ( ( ( truth @ ( not @ SV8 ) )
| ! [SY30: $i] :
~ ( says @ SY30 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(87,plain,
! [SV9: $i] :
( ( ( truth @ SV9 )
= $true )
| ( ( ( truth @ ( not @ SV9 ) )
| ! [SY31: $i] :
~ ( says @ SY31 @ ( not @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(88,plain,
! [SV10: $i] :
( ( ( ~ ( truth @ SV10 ) )
= $true )
| ( ( ~ ( truth @ ( not @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(89,plain,
! [SV11: $i] :
( ( ( truth @ SV11 )
= $true )
| ( ( ! [SY32: $i] :
( ( truth @ SY32 )
| ~ ( truth @ ( or @ SV11 @ SY32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(90,plain,
! [SV12: $i] :
( ( ( ~ ( truth @ SV12 ) )
= $true )
| ( ( ! [SY33: $i] :
~ ( truth @ ( not @ ( or @ SV12 @ SY33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(91,plain,
! [SV13: $i] :
( ( ( ~ ( truth @ SV13 ) )
= $true )
| ( ( ! [SY34: $i] :
~ ( truth @ ( not @ ( or @ SY34 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(92,plain,
! [SV1: $i] :
( ( ( truth @ ( isa @ asked @ SV1 ) )
= $false )
| ( ( ! [P2: $i] :
~ ( truth @ ( isa @ other @ P2 ) )
| ! [S: $i] :
~ ( says @ asked @ S ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(93,plain,
! [SV2: $i] :
( ( ( person @ SV2 )
= $false )
| ( ( ( truth @ ( isa @ SV2 @ knight ) )
| ( truth @ ( isa @ SV2 @ knave ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(94,plain,
! [SV3: $i] :
( ( ( truth @ ( isa @ SV3 @ knight ) )
= $false )
| ( ( ~ ( truth @ ( isa @ SV3 @ knave ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(95,plain,
! [SV4: $i,SV14: $i] :
( ( ( ~ ( says @ SV14 @ SV4 )
| ~ ( truth @ ( isa @ SV14 @ knight ) ) )
= $true )
| ( ( truth @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(96,plain,
! [SV15: $i,SV5: $i] :
( ( ( ~ ( says @ SV5 @ SV15 )
| ~ ( truth @ SV15 ) )
= $true )
| ( ( truth @ ( isa @ SV5 @ knight ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(97,plain,
! [SV6: $i,SV16: $i] :
( ( ( ~ ( says @ SV16 @ SV6 )
| ~ ( truth @ ( isa @ SV16 @ knave ) ) )
= $true )
| ( ( truth @ ( not @ SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(98,plain,
! [SV17: $i,SV7: $i] :
( ( ( ~ ( says @ SV7 @ SV17 )
| ~ ( truth @ ( not @ SV17 ) ) )
= $true )
| ( ( truth @ ( isa @ SV7 @ knave ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(99,plain,
! [SV8: $i] :
( ( ( truth @ ( not @ SV8 ) )
= $true )
| ( ( ! [SY30: $i] :
~ ( says @ SY30 @ SV8 ) )
= $true )
| ( ( truth @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(100,plain,
! [SV9: $i] :
( ( ( truth @ ( not @ SV9 ) )
= $true )
| ( ( ! [SY31: $i] :
~ ( says @ SY31 @ ( not @ SV9 ) ) )
= $true )
| ( ( truth @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(101,plain,
! [SV10: $i] :
( ( ( truth @ SV10 )
= $false )
| ( ( ~ ( truth @ ( not @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(102,plain,
! [SV11: $i,SV18: $i] :
( ( ( ( truth @ SV18 )
| ~ ( truth @ ( or @ SV11 @ SV18 ) ) )
= $true )
| ( ( truth @ SV11 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(103,plain,
! [SV12: $i] :
( ( ( truth @ SV12 )
= $false )
| ( ( ! [SY33: $i] :
~ ( truth @ ( not @ ( or @ SV12 @ SY33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(104,plain,
! [SV13: $i] :
( ( ( truth @ SV13 )
= $false )
| ( ( ! [SY34: $i] :
~ ( truth @ ( not @ ( or @ SY34 @ SV13 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(105,plain,
! [SV1: $i] :
( ( ( ! [P2: $i] :
~ ( truth @ ( isa @ other @ P2 ) ) )
= $true )
| ( ( ! [S: $i] :
~ ( says @ asked @ S ) )
= $true )
| ( ( truth @ ( isa @ asked @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(106,plain,
! [SV2: $i] :
( ( ( truth @ ( isa @ SV2 @ knight ) )
= $true )
| ( ( truth @ ( isa @ SV2 @ knave ) )
= $true )
| ( ( person @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(107,plain,
! [SV3: $i] :
( ( ( truth @ ( isa @ SV3 @ knave ) )
= $false )
| ( ( truth @ ( isa @ SV3 @ knight ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(108,plain,
! [SV4: $i,SV14: $i] :
( ( ( ~ ( says @ SV14 @ SV4 ) )
= $true )
| ( ( ~ ( truth @ ( isa @ SV14 @ knight ) ) )
= $true )
| ( ( truth @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(109,plain,
! [SV15: $i,SV5: $i] :
( ( ( ~ ( says @ SV5 @ SV15 ) )
= $true )
| ( ( ~ ( truth @ SV15 ) )
= $true )
| ( ( truth @ ( isa @ SV5 @ knight ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(110,plain,
! [SV6: $i,SV16: $i] :
( ( ( ~ ( says @ SV16 @ SV6 ) )
= $true )
| ( ( ~ ( truth @ ( isa @ SV16 @ knave ) ) )
= $true )
| ( ( truth @ ( not @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(111,plain,
! [SV17: $i,SV7: $i] :
( ( ( ~ ( says @ SV7 @ SV17 ) )
= $true )
| ( ( ~ ( truth @ ( not @ SV17 ) ) )
= $true )
| ( ( truth @ ( isa @ SV7 @ knave ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV8: $i,SV19: $i] :
( ( ( ~ ( says @ SV19 @ SV8 ) )
= $true )
| ( ( truth @ ( not @ SV8 ) )
= $true )
| ( ( truth @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(113,plain,
! [SV9: $i,SV20: $i] :
( ( ( ~ ( says @ SV20 @ ( not @ SV9 ) ) )
= $true )
| ( ( truth @ ( not @ SV9 ) )
= $true )
| ( ( truth @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(114,plain,
! [SV10: $i] :
( ( ( truth @ ( not @ SV10 ) )
= $false )
| ( ( truth @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(115,plain,
! [SV11: $i,SV18: $i] :
( ( ( truth @ SV18 )
= $true )
| ( ( ~ ( truth @ ( or @ SV11 @ SV18 ) ) )
= $true )
| ( ( truth @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV21: $i,SV12: $i] :
( ( ( ~ ( truth @ ( not @ ( or @ SV12 @ SV21 ) ) ) )
= $true )
| ( ( truth @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV13: $i,SV22: $i] :
( ( ( ~ ( truth @ ( not @ ( or @ SV22 @ SV13 ) ) ) )
= $true )
| ( ( truth @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV1: $i,SV23: $i] :
( ( ( ~ ( truth @ ( isa @ other @ SV23 ) ) )
= $true )
| ( ( ! [S: $i] :
~ ( says @ asked @ S ) )
= $true )
| ( ( truth @ ( isa @ asked @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(119,plain,
! [SV4: $i,SV14: $i] :
( ( ( says @ SV14 @ SV4 )
= $false )
| ( ( ~ ( truth @ ( isa @ SV14 @ knight ) ) )
= $true )
| ( ( truth @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(120,plain,
! [SV15: $i,SV5: $i] :
( ( ( says @ SV5 @ SV15 )
= $false )
| ( ( ~ ( truth @ SV15 ) )
= $true )
| ( ( truth @ ( isa @ SV5 @ knight ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(121,plain,
! [SV6: $i,SV16: $i] :
( ( ( says @ SV16 @ SV6 )
= $false )
| ( ( ~ ( truth @ ( isa @ SV16 @ knave ) ) )
= $true )
| ( ( truth @ ( not @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(122,plain,
! [SV17: $i,SV7: $i] :
( ( ( says @ SV7 @ SV17 )
= $false )
| ( ( ~ ( truth @ ( not @ SV17 ) ) )
= $true )
| ( ( truth @ ( isa @ SV7 @ knave ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(123,plain,
! [SV8: $i,SV19: $i] :
( ( ( says @ SV19 @ SV8 )
= $false )
| ( ( truth @ ( not @ SV8 ) )
= $true )
| ( ( truth @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(124,plain,
! [SV9: $i,SV20: $i] :
( ( ( says @ SV20 @ ( not @ SV9 ) )
= $false )
| ( ( truth @ ( not @ SV9 ) )
= $true )
| ( ( truth @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(125,plain,
! [SV18: $i,SV11: $i] :
( ( ( truth @ ( or @ SV11 @ SV18 ) )
= $false )
| ( ( truth @ SV18 )
= $true )
| ( ( truth @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(126,plain,
! [SV21: $i,SV12: $i] :
( ( ( truth @ ( not @ ( or @ SV12 @ SV21 ) ) )
= $false )
| ( ( truth @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(127,plain,
! [SV13: $i,SV22: $i] :
( ( ( truth @ ( not @ ( or @ SV22 @ SV13 ) ) )
= $false )
| ( ( truth @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(128,plain,
! [SV1: $i,SV23: $i] :
( ( ( truth @ ( isa @ other @ SV23 ) )
= $false )
| ( ( ! [S: $i] :
~ ( says @ asked @ S ) )
= $true )
| ( ( truth @ ( isa @ asked @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(129,plain,
! [SV4: $i,SV14: $i] :
( ( ( truth @ ( isa @ SV14 @ knight ) )
= $false )
| ( ( says @ SV14 @ SV4 )
= $false )
| ( ( truth @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(130,plain,
! [SV5: $i,SV15: $i] :
( ( ( truth @ SV15 )
= $false )
| ( ( says @ SV5 @ SV15 )
= $false )
| ( ( truth @ ( isa @ SV5 @ knight ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(131,plain,
! [SV6: $i,SV16: $i] :
( ( ( truth @ ( isa @ SV16 @ knave ) )
= $false )
| ( ( says @ SV16 @ SV6 )
= $false )
| ( ( truth @ ( not @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(132,plain,
! [SV7: $i,SV17: $i] :
( ( ( truth @ ( not @ SV17 ) )
= $false )
| ( ( says @ SV7 @ SV17 )
= $false )
| ( ( truth @ ( isa @ SV7 @ knave ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(133,plain,
! [SV1: $i,SV23: $i,SV24: $i] :
( ( ( ~ ( says @ asked @ SV24 ) )
= $true )
| ( ( truth @ ( isa @ other @ SV23 ) )
= $false )
| ( ( truth @ ( isa @ asked @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(134,plain,
! [SV1: $i,SV23: $i,SV24: $i] :
( ( ( says @ asked @ SV24 )
= $false )
| ( ( truth @ ( isa @ other @ SV23 ) )
= $false )
| ( ( truth @ ( isa @ asked @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(135,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[61,134,132,131,130,129,127,126,125,124,123,114,107,106,78,71,62]) ).
thf(136,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ035-3 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n020.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 19:57:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 16
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.37 (rf:0,axioms:16,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:18,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.19/0.43
% 0.19/0.43 ********************************
% 0.19/0.43 * All subproblems solved! *
% 0.19/0.43 ********************************
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,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:135,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.43
% 0.19/0.43 %**** Beginning of derivation protocol ****
% 0.19/0.43 % SZS output start CNFRefutation
% See solution above
% 0.19/0.43
% 0.19/0.43 %**** End of derivation protocol ****
% 0.19/0.43 %**** no. of clauses in derivation: 136 ****
% 0.19/0.43 %**** clause counter: 135 ****
% 0.19/0.43
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,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:135,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------