TSTP Solution File: PUZ007-1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ007-1 : 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 : n017.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 18:19:15 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 42
% Syntax : Number of formulae : 188 ( 89 unt; 13 typ; 0 def)
% Number of atoms : 825 ( 233 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 812 ( 168 ~; 210 |; 0 &; 434 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 153 ( 0 ^ 153 !; 0 ?; 153 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_a_from_mars,type,
a_from_mars: $i ).
thf(tp_a_has_lied,type,
a_has_lied: $i ).
thf(tp_a_truth,type,
a_truth: $i > $o ).
thf(tp_b,type,
b: $i ).
thf(tp_female,type,
female: $i > $o ).
thf(tp_from_mars,type,
from_mars: $i > $o ).
thf(tp_from_venus,type,
from_venus: $i > $o ).
thf(tp_liar,type,
liar: $i > $o ).
thf(tp_male,type,
male: $i > $o ).
thf(tp_says,type,
says: $i > $i > $o ).
thf(tp_statement_by,type,
statement_by: $i > $i ).
thf(tp_truthteller,type,
truthteller: $i > $o ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ~ ( liar @ X )
| ~ ( says @ X @ Y )
| ~ ( a_truth @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liars_make_false_statements) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ~ ( truthteller @ X )
| ~ ( says @ X @ Y )
| ( a_truth @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthtellers_make_true_statements) ).
thf(3,axiom,
! [X: $i] :
( ~ ( from_mars @ X )
| ~ ( female @ X )
| ( liar @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',marsian_females_are_liars) ).
thf(4,axiom,
! [X: $i] :
( ~ ( from_mars @ X )
| ~ ( male @ X )
| ( truthteller @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',marsian_males_are_truthtellers) ).
thf(5,axiom,
! [X: $i] :
( ~ ( from_venus @ X )
| ~ ( male @ X )
| ( liar @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_males_are_liars) ).
thf(6,axiom,
! [X: $i] :
( ~ ( from_venus @ X )
| ~ ( female @ X )
| ( truthteller @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_female_are_truthtellers) ).
thf(7,axiom,
! [X: $i] :
( ( a_truth @ ( statement_by @ X ) )
| ( liar @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_statements_made_by_liars) ).
thf(8,axiom,
! [X: $i] :
( ~ ( a_truth @ ( statement_by @ X ) )
| ( truthteller @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_statements_made_by_truthtellers) ).
thf(9,axiom,
! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( Y
= ( statement_by @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',people_say_their_statements) ).
thf(10,axiom,
! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( a_truth @ Y )
| ~ ( a_truth @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',statements_are_true_or_not) ).
thf(11,axiom,
! [X: $i] :
( ~ ( truthteller @ X )
| ~ ( liar @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_truthteller_and_liar) ).
thf(12,axiom,
! [X: $i] :
( ( truthteller @ X )
| ( liar @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_or_liar) ).
thf(13,axiom,
! [X: $i] :
( ~ ( male @ X )
| ~ ( female @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_male_and_female) ).
thf(14,axiom,
! [X: $i] :
( ( male @ X )
| ( female @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',male_or_female) ).
thf(15,axiom,
! [X: $i] :
( ~ ( from_mars @ X )
| ~ ( from_venus @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_from_mars_and_venus) ).
thf(16,axiom,
! [X: $i] :
( ( from_mars @ X )
| ( from_venus @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',from_mars_or_venus) ).
thf(17,axiom,
( ~ ( male @ a )
| ( female @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_sex2) ).
thf(18,axiom,
( ~ ( female @ a )
| ( male @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_sex1) ).
thf(19,axiom,
( ( a_truth @ a_from_mars )
| ( a_truth @ ( statement_by @ b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truth_of_bs_statement) ).
thf(20,axiom,
( ( statement_by @ b )
= a_has_lied ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_states) ).
thf(21,axiom,
( ( statement_by @ a )
= a_from_mars ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_states) ).
thf(22,axiom,
( ~ ( a_truth @ a_from_mars )
| ~ ( a_truth @ ( statement_by @ b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars3) ).
thf(23,axiom,
( ( from_mars @ a )
| ~ ( a_truth @ a_from_mars ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars2) ).
thf(24,axiom,
( ~ ( from_mars @ a )
| ( a_truth @ a_from_mars ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars1) ).
thf(25,axiom,
says @ b @ a_has_lied,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_lies) ).
thf(26,axiom,
says @ a @ a_from_mars,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_hes_from_mars) ).
thf(27,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(28,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[27]) ).
thf(29,negated_conjecture,
( ( from_venus @ a )
| ( from_venus @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_venus) ).
thf(30,negated_conjecture,
( ( from_mars @ b )
| ( from_mars @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_mars) ).
thf(31,plain,
$false = $false,
inference(unfold_def,[status(thm)],[28]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( liar @ X )
| ~ ( says @ X @ Y )
| ~ ( a_truth @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( truthteller @ X )
| ~ ( says @ X @ Y )
| ( a_truth @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(34,plain,
( ( ! [X: $i] :
( ~ ( from_mars @ X )
| ~ ( female @ X )
| ( liar @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(35,plain,
( ( ! [X: $i] :
( ~ ( from_mars @ X )
| ~ ( male @ X )
| ( truthteller @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(36,plain,
( ( ! [X: $i] :
( ~ ( from_venus @ X )
| ~ ( male @ X )
| ( liar @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(37,plain,
( ( ! [X: $i] :
( ~ ( from_venus @ X )
| ~ ( female @ X )
| ( truthteller @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(38,plain,
( ( ! [X: $i] :
( ( a_truth @ ( statement_by @ X ) )
| ( liar @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(39,plain,
( ( ! [X: $i] :
( ~ ( a_truth @ ( statement_by @ X ) )
| ( truthteller @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( Y
= ( statement_by @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( a_truth @ Y )
| ~ ( a_truth @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(42,plain,
( ( ! [X: $i] :
( ~ ( truthteller @ X )
| ~ ( liar @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(43,plain,
( ( ! [X: $i] :
( ( truthteller @ X )
| ( liar @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(44,plain,
( ( ! [X: $i] :
( ~ ( male @ X )
| ~ ( female @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(45,plain,
( ( ! [X: $i] :
( ( male @ X )
| ( female @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(46,plain,
( ( ! [X: $i] :
( ~ ( from_mars @ X )
| ~ ( from_venus @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(47,plain,
( ( ! [X: $i] :
( ( from_mars @ X )
| ( from_venus @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(48,plain,
( ( ~ ( male @ a )
| ( female @ b ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(49,plain,
( ( ~ ( female @ a )
| ( male @ b ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(50,plain,
( ( ( a_truth @ a_from_mars )
| ( a_truth @ ( statement_by @ b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(51,plain,
( ( ( statement_by @ b )
= a_has_lied )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(52,plain,
( ( ( statement_by @ a )
= a_from_mars )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(53,plain,
( ( ~ ( a_truth @ a_from_mars )
| ~ ( a_truth @ ( statement_by @ b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(54,plain,
( ( ( from_mars @ a )
| ~ ( a_truth @ a_from_mars ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(55,plain,
( ( ~ ( from_mars @ a )
| ( a_truth @ a_from_mars ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(56,plain,
( ( says @ b @ a_has_lied )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(57,plain,
( ( says @ a @ a_from_mars )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(58,plain,
( ( ( from_venus @ a )
| ( from_venus @ b ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(59,plain,
( ( ( from_mars @ b )
| ( from_mars @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(60,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[31]) ).
thf(61,plain,
( ( ! [X: $i] :
( ~ ( liar @ X )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ~ ( a_truth @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(62,plain,
( ( ! [X: $i] :
( ~ ( truthteller @ X )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ( a_truth @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(63,plain,
( ( ! [X: $i,Y: $i] :
~ ( says @ X @ Y )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(64,plain,
( ( ! [X: $i] :
( ( liar @ X )
| ( truthteller @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(65,plain,
( ( ! [X: $i] :
( ( female @ X )
| ( male @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(66,plain,
( ( ( from_mars @ b )
| ( from_mars @ a ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(67,plain,
( ( ( from_venus @ a )
| ( from_venus @ b ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(68,plain,
( ( says @ a @ a_from_mars )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(69,plain,
( ( says @ b @ a_has_lied )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(70,plain,
( ( ~ ( from_mars @ a )
| ( a_truth @ a_from_mars ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(71,plain,
( ( ( from_mars @ a )
| ~ ( a_truth @ a_from_mars ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(72,plain,
( ( ~ ( a_truth @ a_from_mars )
| ~ ( a_truth @ ( statement_by @ b ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(73,plain,
( ( ( statement_by @ a )
= a_from_mars )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(74,plain,
( ( ( statement_by @ b )
= a_has_lied )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(75,plain,
( ( ( a_truth @ a_from_mars )
| ( a_truth @ ( statement_by @ b ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(76,plain,
( ( ~ ( female @ a )
| ( male @ b ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(77,plain,
( ( ~ ( male @ a )
| ( female @ b ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(78,plain,
( ( ! [X: $i] :
( ( from_mars @ X )
| ( from_venus @ X ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(79,plain,
( ( ! [X: $i] :
( ~ ( from_mars @ X )
| ~ ( from_venus @ X ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(80,plain,
( ( ! [X: $i] :
( ( female @ X )
| ( male @ X ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(81,plain,
( ( ! [X: $i] :
( ~ ( male @ X )
| ~ ( female @ X ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(82,plain,
( ( ! [X: $i] :
( ( liar @ X )
| ( truthteller @ X ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(83,plain,
( ( ! [X: $i] :
( ~ ( truthteller @ X )
| ~ ( liar @ X ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(84,plain,
( ( ! [X: $i,Y: $i] :
~ ( says @ X @ Y )
| $true )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(85,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( Y
= ( statement_by @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(86,plain,
( ( ! [X: $i] :
( ~ ( a_truth @ ( statement_by @ X ) )
| ( truthteller @ X ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(87,plain,
( ( ! [X: $i] :
( ( a_truth @ ( statement_by @ X ) )
| ( liar @ X ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(88,plain,
( ( ! [X: $i] :
( ~ ( from_venus @ X )
| ~ ( female @ X )
| ( truthteller @ X ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(89,plain,
( ( ! [X: $i] :
( ~ ( from_venus @ X )
| ~ ( male @ X )
| ( liar @ X ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(90,plain,
( ( ! [X: $i] :
( ~ ( from_mars @ X )
| ~ ( male @ X )
| ( truthteller @ X ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(91,plain,
( ( ! [X: $i] :
( ~ ( from_mars @ X )
| ~ ( female @ X )
| ( liar @ X ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(92,plain,
( ( ! [X: $i] :
( ~ ( truthteller @ X )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ( a_truth @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(93,plain,
( ( ! [X: $i] :
( ~ ( liar @ X )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ~ ( a_truth @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(94,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(95,plain,
( ( ( from_mars @ b )
= $true )
| ( ( from_mars @ a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(96,plain,
( ( ( from_venus @ a )
= $true )
| ( ( from_venus @ b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(97,plain,
( ( ( ~ ( from_mars @ a ) )
= $true )
| ( ( a_truth @ a_from_mars )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(98,plain,
( ( ( from_mars @ a )
= $true )
| ( ( ~ ( a_truth @ a_from_mars ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(99,plain,
( ( ( ~ ( a_truth @ a_from_mars ) )
= $true )
| ( ( ~ ( a_truth @ ( statement_by @ b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(100,plain,
( ( ( a_truth @ a_from_mars )
= $true )
| ( ( a_truth @ ( statement_by @ b ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(101,plain,
( ( ( ~ ( female @ a ) )
= $true )
| ( ( male @ b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(102,plain,
( ( ( ~ ( male @ a ) )
= $true )
| ( ( female @ b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(103,plain,
! [SV1: $i] :
( ( ( from_mars @ SV1 )
| ( from_venus @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(104,plain,
! [SV2: $i] :
( ( ~ ( from_mars @ SV2 )
| ~ ( from_venus @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(105,plain,
! [SV3: $i] :
( ( ( female @ SV3 )
| ( male @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(106,plain,
! [SV4: $i] :
( ( ~ ( male @ SV4 )
| ~ ( female @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(107,plain,
! [SV5: $i] :
( ( ( liar @ SV5 )
| ( truthteller @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(108,plain,
! [SV6: $i] :
( ( ~ ( truthteller @ SV6 )
| ~ ( liar @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(109,plain,
( ( ( ! [X: $i,Y: $i] :
~ ( says @ X @ Y ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(110,plain,
! [SV7: $i] :
( ( ! [SY20: $i] :
( ~ ( says @ SV7 @ SY20 )
| ( SY20
= ( statement_by @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(111,plain,
! [SV8: $i] :
( ( ~ ( a_truth @ ( statement_by @ SV8 ) )
| ( truthteller @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(112,plain,
! [SV9: $i] :
( ( ( a_truth @ ( statement_by @ SV9 ) )
| ( liar @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(113,plain,
! [SV10: $i] :
( ( ~ ( from_venus @ SV10 )
| ~ ( female @ SV10 )
| ( truthteller @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(114,plain,
! [SV11: $i] :
( ( ~ ( from_venus @ SV11 )
| ~ ( male @ SV11 )
| ( liar @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(115,plain,
! [SV12: $i] :
( ( ~ ( from_mars @ SV12 )
| ~ ( male @ SV12 )
| ( truthteller @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(116,plain,
! [SV13: $i] :
( ( ~ ( from_mars @ SV13 )
| ~ ( female @ SV13 )
| ( liar @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(117,plain,
! [SV14: $i] :
( ( ~ ( truthteller @ SV14 )
| ! [SY21: $i] :
( ~ ( says @ SV14 @ SY21 )
| ( a_truth @ SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(118,plain,
! [SV15: $i] :
( ( ~ ( liar @ SV15 )
| ! [SY22: $i] :
( ~ ( says @ SV15 @ SY22 )
| ~ ( a_truth @ SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(119,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(120,plain,
( ( ( from_mars @ a )
= $false )
| ( ( a_truth @ a_from_mars )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(121,plain,
( ( ( a_truth @ a_from_mars )
= $false )
| ( ( from_mars @ a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(122,plain,
( ( ( a_truth @ a_from_mars )
= $false )
| ( ( ~ ( a_truth @ ( statement_by @ b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(123,plain,
( ( ( female @ a )
= $false )
| ( ( male @ b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(124,plain,
( ( ( male @ a )
= $false )
| ( ( female @ b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(125,plain,
! [SV1: $i] :
( ( ( from_mars @ SV1 )
= $true )
| ( ( from_venus @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(126,plain,
! [SV2: $i] :
( ( ( ~ ( from_mars @ SV2 ) )
= $true )
| ( ( ~ ( from_venus @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(127,plain,
! [SV3: $i] :
( ( ( female @ SV3 )
= $true )
| ( ( male @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(128,plain,
! [SV4: $i] :
( ( ( ~ ( male @ SV4 ) )
= $true )
| ( ( ~ ( female @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(129,plain,
! [SV5: $i] :
( ( ( liar @ SV5 )
= $true )
| ( ( truthteller @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(130,plain,
! [SV6: $i] :
( ( ( ~ ( truthteller @ SV6 ) )
= $true )
| ( ( ~ ( liar @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(131,plain,
! [SV16: $i] :
( ( ( ! [SY23: $i] :
~ ( says @ SV16 @ SY23 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(132,plain,
! [SV17: $i,SV7: $i] :
( ( ~ ( says @ SV7 @ SV17 )
| ( SV17
= ( statement_by @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(133,plain,
! [SV8: $i] :
( ( ( ~ ( a_truth @ ( statement_by @ SV8 ) ) )
= $true )
| ( ( truthteller @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(134,plain,
! [SV9: $i] :
( ( ( a_truth @ ( statement_by @ SV9 ) )
= $true )
| ( ( liar @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(135,plain,
! [SV10: $i] :
( ( ( ~ ( from_venus @ SV10 ) )
= $true )
| ( ( ~ ( female @ SV10 )
| ( truthteller @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(136,plain,
! [SV11: $i] :
( ( ( ~ ( from_venus @ SV11 ) )
= $true )
| ( ( ~ ( male @ SV11 )
| ( liar @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(137,plain,
! [SV12: $i] :
( ( ( ~ ( from_mars @ SV12 ) )
= $true )
| ( ( ~ ( male @ SV12 )
| ( truthteller @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(138,plain,
! [SV13: $i] :
( ( ( ~ ( from_mars @ SV13 ) )
= $true )
| ( ( ~ ( female @ SV13 )
| ( liar @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(139,plain,
! [SV14: $i] :
( ( ( ~ ( truthteller @ SV14 ) )
= $true )
| ( ( ! [SY21: $i] :
( ~ ( says @ SV14 @ SY21 )
| ( a_truth @ SY21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(140,plain,
! [SV15: $i] :
( ( ( ~ ( liar @ SV15 ) )
= $true )
| ( ( ! [SY22: $i] :
( ~ ( says @ SV15 @ SY22 )
| ~ ( a_truth @ SY22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(141,plain,
( ( ( a_truth @ ( statement_by @ b ) )
= $false )
| ( ( a_truth @ a_from_mars )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(142,plain,
! [SV2: $i] :
( ( ( from_mars @ SV2 )
= $false )
| ( ( ~ ( from_venus @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(143,plain,
! [SV4: $i] :
( ( ( male @ SV4 )
= $false )
| ( ( ~ ( female @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(144,plain,
! [SV6: $i] :
( ( ( truthteller @ SV6 )
= $false )
| ( ( ~ ( liar @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(145,plain,
! [SV18: $i,SV16: $i] :
( ( ( ~ ( says @ SV16 @ SV18 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(146,plain,
! [SV17: $i,SV7: $i] :
( ( ( ~ ( says @ SV7 @ SV17 ) )
= $true )
| ( ( SV17
= ( statement_by @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(147,plain,
! [SV8: $i] :
( ( ( a_truth @ ( statement_by @ SV8 ) )
= $false )
| ( ( truthteller @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(148,plain,
! [SV10: $i] :
( ( ( from_venus @ SV10 )
= $false )
| ( ( ~ ( female @ SV10 )
| ( truthteller @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(149,plain,
! [SV11: $i] :
( ( ( from_venus @ SV11 )
= $false )
| ( ( ~ ( male @ SV11 )
| ( liar @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(150,plain,
! [SV12: $i] :
( ( ( from_mars @ SV12 )
= $false )
| ( ( ~ ( male @ SV12 )
| ( truthteller @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(151,plain,
! [SV13: $i] :
( ( ( from_mars @ SV13 )
= $false )
| ( ( ~ ( female @ SV13 )
| ( liar @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(152,plain,
! [SV14: $i] :
( ( ( truthteller @ SV14 )
= $false )
| ( ( ! [SY21: $i] :
( ~ ( says @ SV14 @ SY21 )
| ( a_truth @ SY21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(153,plain,
! [SV15: $i] :
( ( ( liar @ SV15 )
= $false )
| ( ( ! [SY22: $i] :
( ~ ( says @ SV15 @ SY22 )
| ~ ( a_truth @ SY22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(154,plain,
! [SV2: $i] :
( ( ( from_venus @ SV2 )
= $false )
| ( ( from_mars @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(155,plain,
! [SV4: $i] :
( ( ( female @ SV4 )
= $false )
| ( ( male @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(156,plain,
! [SV6: $i] :
( ( ( liar @ SV6 )
= $false )
| ( ( truthteller @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(157,plain,
! [SV18: $i,SV16: $i] :
( ( ( says @ SV16 @ SV18 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(158,plain,
! [SV17: $i,SV7: $i] :
( ( ( says @ SV7 @ SV17 )
= $false )
| ( ( SV17
= ( statement_by @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(159,plain,
! [SV10: $i] :
( ( ( ~ ( female @ SV10 ) )
= $true )
| ( ( truthteller @ SV10 )
= $true )
| ( ( from_venus @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(160,plain,
! [SV11: $i] :
( ( ( ~ ( male @ SV11 ) )
= $true )
| ( ( liar @ SV11 )
= $true )
| ( ( from_venus @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(161,plain,
! [SV12: $i] :
( ( ( ~ ( male @ SV12 ) )
= $true )
| ( ( truthteller @ SV12 )
= $true )
| ( ( from_mars @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(162,plain,
! [SV13: $i] :
( ( ( ~ ( female @ SV13 ) )
= $true )
| ( ( liar @ SV13 )
= $true )
| ( ( from_mars @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(163,plain,
! [SV19: $i,SV14: $i] :
( ( ( ~ ( says @ SV14 @ SV19 )
| ( a_truth @ SV19 ) )
= $true )
| ( ( truthteller @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(164,plain,
! [SV20: $i,SV15: $i] :
( ( ( ~ ( says @ SV15 @ SV20 )
| ~ ( a_truth @ SV20 ) )
= $true )
| ( ( liar @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(165,plain,
! [SV10: $i] :
( ( ( female @ SV10 )
= $false )
| ( ( truthteller @ SV10 )
= $true )
| ( ( from_venus @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(166,plain,
! [SV11: $i] :
( ( ( male @ SV11 )
= $false )
| ( ( liar @ SV11 )
= $true )
| ( ( from_venus @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(167,plain,
! [SV12: $i] :
( ( ( male @ SV12 )
= $false )
| ( ( truthteller @ SV12 )
= $true )
| ( ( from_mars @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(168,plain,
! [SV13: $i] :
( ( ( female @ SV13 )
= $false )
| ( ( liar @ SV13 )
= $true )
| ( ( from_mars @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(169,plain,
! [SV19: $i,SV14: $i] :
( ( ( ~ ( says @ SV14 @ SV19 ) )
= $true )
| ( ( a_truth @ SV19 )
= $true )
| ( ( truthteller @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(170,plain,
! [SV20: $i,SV15: $i] :
( ( ( ~ ( says @ SV15 @ SV20 ) )
= $true )
| ( ( ~ ( a_truth @ SV20 ) )
= $true )
| ( ( liar @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(171,plain,
! [SV19: $i,SV14: $i] :
( ( ( says @ SV14 @ SV19 )
= $false )
| ( ( a_truth @ SV19 )
= $true )
| ( ( truthteller @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(172,plain,
! [SV20: $i,SV15: $i] :
( ( ( says @ SV15 @ SV20 )
= $false )
| ( ( ~ ( a_truth @ SV20 ) )
= $true )
| ( ( liar @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(173,plain,
! [SV15: $i,SV20: $i] :
( ( ( a_truth @ SV20 )
= $false )
| ( ( says @ SV15 @ SV20 )
= $false )
| ( ( liar @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(174,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[68,173,171,168,167,166,165,158,157,156,155,154,147,141,134,129,127,125,124,123,121,120,119,100,96,95,74,73,69]) ).
thf(175,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat May 28 20:00:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 28
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (rf:0,axioms:28,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:30,loop_count:0,foatp_calls:0,translation:fof_full).....
% 0.19/0.41
% 0.19/0.41 ********************************
% 0.19/0.41 * All subproblems solved! *
% 0.19/0.41 ********************************
% 0.19/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:28,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:174,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.42
% 0.19/0.42 %**** Beginning of derivation protocol ****
% 0.19/0.42 % SZS output start CNFRefutation
% See solution above
% 0.19/0.42
% 0.19/0.42 %**** End of derivation protocol ****
% 0.19/0.42 %**** no. of clauses in derivation: 175 ****
% 0.19/0.42 %**** clause counter: 174 ****
% 0.19/0.42
% 0.19/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:28,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:174,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------