%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ006-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 : 300s
% DateTime : Sat Jun 21 05:23:07 AM UTC 2025
% Result : Unsatisfiable 0.21s 0.38s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 64
% Syntax : Number of formulae : 149 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 625 ( 30 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 910 ( 442 ~; 409 |; 0 &)
% ( 59 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 8 ( 8 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 171 ( 160 !; 0 ?; 171 :)
% Comments :
%------------------------------------------------------------------------------
tff(from_venus_type,type,
from_venus: $i > $o ).
tff(ork_type,type,
ork: $i ).
tff(from_mars_type,type,
from_mars: $i > $o ).
tff(a_truth_type,type,
a_truth: $i > $o ).
tff(ork_is_from_mars_type,type,
ork_is_from_mars: $i ).
tff(liar_type,type,
liar: $i > $o ).
tff(bog_type,type,
bog: $i ).
tff(bog_is_from_venus_type,type,
bog_is_from_venus: $i ).
tff(bog_is_male_type,type,
bog_is_male: $i ).
tff(statement_by_type,type,
statement_by: $i > $i ).
tff(says_type,type,
says: ( $i * $i ) > $o ).
tff(male_type,type,
male: $i > $o ).
tff(female_type,type,
female: $i > $o ).
tff(ork_is_female_type,type,
ork_is_female: $i ).
tff(1,plain,
( says(ork,bog_is_from_venus)
<=> says(ork,bog_is_from_venus) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
says(ork,bog_is_from_venus),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_from_venus) ).
tff(3,plain,
says(ork,bog_is_from_venus),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [Y: $i,X: $i] :
refl(( ( ~ says(X,Y)
| ( Y = statement_by(X) ) )
<=> ( ~ says(X,Y)
| ( Y = statement_by(X) ) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) )
<=> ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) )
<=> ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,axiom,
! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',people_say_their_statements) ).
tff(8,plain,
! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) )
| ~ says(ork,bog_is_from_venus)
| ( bog_is_from_venus = statement_by(ork) ) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) )
| ~ says(ork,bog_is_from_venus)
| ( bog_is_from_venus = statement_by(ork) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ~ ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) )
| ~ says(ork,bog_is_from_venus)
| ( bog_is_from_venus = statement_by(ork) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(13,plain,
( ~ ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) )
| ~ says(ork,bog_is_from_venus)
| ( bog_is_from_venus = statement_by(ork) ) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
bog_is_from_venus = statement_by(ork),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,plain,
statement_by(ork) = bog_is_from_venus,
inference(symmetry,[status(thm)],[14]) ).
tff(16,plain,
( says(ork,bog_is_male)
<=> says(ork,bog_is_male) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
says(ork,bog_is_male),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_male) ).
tff(18,plain,
says(ork,bog_is_male),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) )
| ~ says(ork,bog_is_male)
| ( bog_is_male = statement_by(ork) ) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) )
| ~ says(ork,bog_is_male)
| ( bog_is_male = statement_by(ork) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ~ ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) )
| ~ says(ork,bog_is_male)
| ( bog_is_male = statement_by(ork) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(21,plain,
( ~ ! [Y: $i,X: $i] :
( ~ says(X,Y)
| ( Y = statement_by(X) ) )
| ~ says(ork,bog_is_male)
| ( bog_is_male = statement_by(ork) ) ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
bog_is_male = statement_by(ork),
inference(unit_resolution,[status(thm)],[21,10,18]) ).
tff(23,plain,
bog_is_male = bog_is_from_venus,
inference(transitivity,[status(thm)],[22,15]) ).
tff(24,plain,
( a_truth(bog_is_male)
<=> a_truth(bog_is_from_venus) ),
inference(monotonicity,[status(thm)],[23]) ).
tff(25,plain,
( ~ female(bog)
<=> ~ female(bog) ),
inference(rewrite,[status(thm)],[]) ).
tff(26,axiom,
~ female(bog),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_bog_is_female) ).
tff(27,plain,
~ female(bog),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
^ [X: $i] :
refl(( ( female(X)
| male(X) )
<=> ( female(X)
| male(X) ) )),
inference(bind,[status(th)],[]) ).
tff(29,plain,
( ! [X: $i] :
( female(X)
| male(X) )
<=> ! [X: $i] :
( female(X)
| male(X) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
( ! [X: $i] :
( female(X)
| male(X) )
<=> ! [X: $i] :
( female(X)
| male(X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,plain,
^ [X: $i] :
rewrite(( ( male(X)
| female(X) )
<=> ( female(X)
| male(X) ) )),
inference(bind,[status(th)],[]) ).
tff(32,plain,
( ! [X: $i] :
( male(X)
| female(X) )
<=> ! [X: $i] :
( female(X)
| male(X) ) ),
inference(quant_intro,[status(thm)],[31]) ).
tff(33,axiom,
! [X: $i] :
( male(X)
| female(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).
tff(34,plain,
! [X: $i] :
( female(X)
| male(X) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
! [X: $i] :
( female(X)
| male(X) ),
inference(modus_ponens,[status(thm)],[34,30]) ).
tff(36,plain,
! [X: $i] :
( female(X)
| male(X) ),
inference(skolemize,[status(sab)],[35]) ).
tff(37,plain,
! [X: $i] :
( female(X)
| male(X) ),
inference(modus_ponens,[status(thm)],[36,29]) ).
tff(38,plain,
( ( ~ ! [X: $i] :
( female(X)
| male(X) )
| female(bog)
| male(bog) )
<=> ( ~ ! [X: $i] :
( female(X)
| male(X) )
| female(bog)
| male(bog) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(39,plain,
( ~ ! [X: $i] :
( female(X)
| male(X) )
| female(bog)
| male(bog) ),
inference(quant_inst,[status(thm)],[]) ).
tff(40,plain,
( ~ ! [X: $i] :
( female(X)
| male(X) )
| female(bog)
| male(bog) ),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
male(bog),
inference(unit_resolution,[status(thm)],[40,37,27]) ).
tff(42,plain,
( ( a_truth(bog_is_male)
| ~ male(bog) )
<=> ( a_truth(bog_is_male)
| ~ male(bog) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,plain,
( ( ~ male(bog)
| a_truth(bog_is_male) )
<=> ( a_truth(bog_is_male)
| ~ male(bog) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,axiom,
( ~ male(bog)
| a_truth(bog_is_male) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_male2) ).
tff(45,plain,
( a_truth(bog_is_male)
| ~ male(bog) ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
( a_truth(bog_is_male)
| ~ male(bog) ),
inference(modus_ponens,[status(thm)],[45,42]) ).
tff(47,plain,
a_truth(bog_is_male),
inference(unit_resolution,[status(thm)],[46,41]) ).
tff(48,plain,
a_truth(bog_is_from_venus),
inference(modus_ponens,[status(thm)],[47,24]) ).
tff(49,plain,
( ( ~ a_truth(bog_is_from_venus)
| from_venus(bog) )
<=> ( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,axiom,
( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_from_venus1) ).
tff(51,plain,
( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ),
inference(modus_ponens,[status(thm)],[51,49]) ).
tff(53,plain,
( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ),
inference(modus_ponens,[status(thm)],[52,49]) ).
tff(54,plain,
( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ),
inference(modus_ponens,[status(thm)],[53,49]) ).
tff(55,plain,
( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ),
inference(modus_ponens,[status(thm)],[54,49]) ).
tff(56,plain,
from_venus(bog),
inference(unit_resolution,[status(thm)],[55,48]) ).
tff(57,plain,
^ [X: $i] :
refl(( ( ~ from_venus(X)
| liar(X)
| ~ male(X) )
<=> ( ~ from_venus(X)
| liar(X)
| ~ male(X) ) )),
inference(bind,[status(th)],[]) ).
tff(58,plain,
( ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
<=> ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) ) ),
inference(quant_intro,[status(thm)],[57]) ).
tff(59,plain,
( ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
<=> ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,plain,
^ [X: $i] :
rewrite(( ( ~ from_venus(X)
| ~ male(X)
| liar(X) )
<=> ( ~ from_venus(X)
| liar(X)
| ~ male(X) ) )),
inference(bind,[status(th)],[]) ).
tff(61,plain,
( ! [X: $i] :
( ~ from_venus(X)
| ~ male(X)
| liar(X) )
<=> ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) ) ),
inference(quant_intro,[status(thm)],[60]) ).
tff(62,axiom,
! [X: $i] :
( ~ from_venus(X)
| ~ male(X)
| liar(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',venusian_males_are_liars) ).
tff(63,plain,
! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) ),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) ),
inference(modus_ponens,[status(thm)],[63,59]) ).
tff(65,plain,
! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) ),
inference(skolemize,[status(sab)],[64]) ).
tff(66,plain,
! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) ),
inference(modus_ponens,[status(thm)],[65,58]) ).
tff(67,plain,
( ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(bog)
| ~ male(bog)
| liar(bog) )
<=> ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(bog)
| ~ male(bog)
| liar(bog) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(68,plain,
( ( ~ from_venus(bog)
| liar(bog)
| ~ male(bog) )
<=> ( ~ from_venus(bog)
| ~ male(bog)
| liar(bog) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,plain,
( ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(bog)
| liar(bog)
| ~ male(bog) )
<=> ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(bog)
| ~ male(bog)
| liar(bog) ) ),
inference(monotonicity,[status(thm)],[68]) ).
tff(70,plain,
( ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(bog)
| liar(bog)
| ~ male(bog) )
<=> ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(bog)
| ~ male(bog)
| liar(bog) ) ),
inference(transitivity,[status(thm)],[69,67]) ).
tff(71,plain,
( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(bog)
| liar(bog)
| ~ male(bog) ),
inference(quant_inst,[status(thm)],[]) ).
tff(72,plain,
( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(bog)
| ~ male(bog)
| liar(bog) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
( ~ from_venus(bog)
| liar(bog) ),
inference(unit_resolution,[status(thm)],[72,66,41]) ).
tff(74,plain,
liar(bog),
inference(unit_resolution,[status(thm)],[73,56]) ).
tff(75,plain,
( says(bog,ork_is_from_mars)
<=> says(bog,ork_is_from_mars) ),
inference(rewrite,[status(thm)],[]) ).
tff(76,axiom,
says(bog,ork_is_from_mars),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_from_mar) ).
tff(77,plain,
says(bog,ork_is_from_mars),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
^ [Y: $i,X: $i] :
refl(( ( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
<=> ( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) ) )),
inference(bind,[status(th)],[]) ).
tff(79,plain,
( ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
<=> ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) ) ),
inference(quant_intro,[status(thm)],[78]) ).
tff(80,plain,
( ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
<=> ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(81,plain,
^ [Y: $i,X: $i] :
rewrite(( ( ~ liar(X)
| ~ says(X,Y)
| ~ a_truth(Y) )
<=> ( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) ) )),
inference(bind,[status(th)],[]) ).
tff(82,plain,
( ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ says(X,Y)
| ~ a_truth(Y) )
<=> ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) ) ),
inference(quant_intro,[status(thm)],[81]) ).
tff(83,axiom,
! [Y: $i,X: $i] :
( ~ liar(X)
| ~ says(X,Y)
| ~ a_truth(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',liars_make_false_statements) ).
tff(84,plain,
! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) ),
inference(modus_ponens,[status(thm)],[84,80]) ).
tff(86,plain,
! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) ),
inference(skolemize,[status(sab)],[85]) ).
tff(87,plain,
! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) ),
inference(modus_ponens,[status(thm)],[86,79]) ).
tff(88,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(ork_is_from_mars)
| ~ liar(bog)
| ~ says(bog,ork_is_from_mars) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(ork_is_from_mars)
| ~ liar(bog)
| ~ says(bog,ork_is_from_mars) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(89,plain,
( ( ~ liar(bog)
| ~ a_truth(ork_is_from_mars)
| ~ says(bog,ork_is_from_mars) )
<=> ( ~ a_truth(ork_is_from_mars)
| ~ liar(bog)
| ~ says(bog,ork_is_from_mars) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(90,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ liar(bog)
| ~ a_truth(ork_is_from_mars)
| ~ says(bog,ork_is_from_mars) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(ork_is_from_mars)
| ~ liar(bog)
| ~ says(bog,ork_is_from_mars) ) ),
inference(monotonicity,[status(thm)],[89]) ).
tff(91,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ liar(bog)
| ~ a_truth(ork_is_from_mars)
| ~ says(bog,ork_is_from_mars) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(ork_is_from_mars)
| ~ liar(bog)
| ~ says(bog,ork_is_from_mars) ) ),
inference(transitivity,[status(thm)],[90,88]) ).
tff(92,plain,
( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ liar(bog)
| ~ a_truth(ork_is_from_mars)
| ~ says(bog,ork_is_from_mars) ),
inference(quant_inst,[status(thm)],[]) ).
tff(93,plain,
( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(ork_is_from_mars)
| ~ liar(bog)
| ~ says(bog,ork_is_from_mars) ),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
( ~ a_truth(ork_is_from_mars)
| ~ liar(bog) ),
inference(unit_resolution,[status(thm)],[93,87,77]) ).
tff(95,plain,
~ a_truth(ork_is_from_mars),
inference(unit_resolution,[status(thm)],[94,74]) ).
tff(96,plain,
( ( a_truth(ork_is_from_mars)
| ~ from_mars(ork) )
<=> ( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(97,plain,
( ( ~ from_mars(ork)
| a_truth(ork_is_from_mars) )
<=> ( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(98,axiom,
( ~ from_mars(ork)
| a_truth(ork_is_from_mars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_from_mars2) ).
tff(99,plain,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
inference(modus_ponens,[status(thm)],[98,97]) ).
tff(100,plain,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
inference(modus_ponens,[status(thm)],[99,96]) ).
tff(101,plain,
~ from_mars(ork),
inference(unit_resolution,[status(thm)],[100,95]) ).
tff(102,plain,
^ [X: $i] :
refl(( ( from_mars(X)
| from_venus(X) )
<=> ( from_mars(X)
| from_venus(X) ) )),
inference(bind,[status(th)],[]) ).
tff(103,plain,
( ! [X: $i] :
( from_mars(X)
| from_venus(X) )
<=> ! [X: $i] :
( from_mars(X)
| from_venus(X) ) ),
inference(quant_intro,[status(thm)],[102]) ).
tff(104,plain,
( ! [X: $i] :
( from_mars(X)
| from_venus(X) )
<=> ! [X: $i] :
( from_mars(X)
| from_venus(X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(105,axiom,
! [X: $i] :
( from_mars(X)
| from_venus(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',from_mars_or_venus) ).
tff(106,plain,
! [X: $i] :
( from_mars(X)
| from_venus(X) ),
inference(modus_ponens,[status(thm)],[105,104]) ).
tff(107,plain,
! [X: $i] :
( from_mars(X)
| from_venus(X) ),
inference(skolemize,[status(sab)],[106]) ).
tff(108,plain,
! [X: $i] :
( from_mars(X)
| from_venus(X) ),
inference(modus_ponens,[status(thm)],[107,103]) ).
tff(109,plain,
( ( ~ ! [X: $i] :
( from_mars(X)
| from_venus(X) )
| from_mars(ork)
| from_venus(ork) )
<=> ( ~ ! [X: $i] :
( from_mars(X)
| from_venus(X) )
| from_mars(ork)
| from_venus(ork) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(110,plain,
( ~ ! [X: $i] :
( from_mars(X)
| from_venus(X) )
| from_mars(ork)
| from_venus(ork) ),
inference(quant_inst,[status(thm)],[]) ).
tff(111,plain,
( ~ ! [X: $i] :
( from_mars(X)
| from_venus(X) )
| from_mars(ork)
| from_venus(ork) ),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
from_venus(ork),
inference(unit_resolution,[status(thm)],[111,108,101]) ).
tff(113,plain,
( says(bog,ork_is_female)
<=> says(bog,ork_is_female) ),
inference(rewrite,[status(thm)],[]) ).
tff(114,axiom,
says(bog,ork_is_female),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_female) ).
tff(115,plain,
says(bog,ork_is_female),
inference(modus_ponens,[status(thm)],[114,113]) ).
tff(116,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(ork_is_female)
| ~ liar(bog)
| ~ says(bog,ork_is_female) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(ork_is_female)
| ~ liar(bog)
| ~ says(bog,ork_is_female) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(117,plain,
( ( ~ liar(bog)
| ~ a_truth(ork_is_female)
| ~ says(bog,ork_is_female) )
<=> ( ~ a_truth(ork_is_female)
| ~ liar(bog)
| ~ says(bog,ork_is_female) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(118,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ liar(bog)
| ~ a_truth(ork_is_female)
| ~ says(bog,ork_is_female) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(ork_is_female)
| ~ liar(bog)
| ~ says(bog,ork_is_female) ) ),
inference(monotonicity,[status(thm)],[117]) ).
tff(119,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ liar(bog)
| ~ a_truth(ork_is_female)
| ~ says(bog,ork_is_female) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(ork_is_female)
| ~ liar(bog)
| ~ says(bog,ork_is_female) ) ),
inference(transitivity,[status(thm)],[118,116]) ).
tff(120,plain,
( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ liar(bog)
| ~ a_truth(ork_is_female)
| ~ says(bog,ork_is_female) ),
inference(quant_inst,[status(thm)],[]) ).
tff(121,plain,
( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(ork_is_female)
| ~ liar(bog)
| ~ says(bog,ork_is_female) ),
inference(modus_ponens,[status(thm)],[120,119]) ).
tff(122,plain,
( ~ a_truth(ork_is_female)
| ~ liar(bog) ),
inference(unit_resolution,[status(thm)],[121,87,115]) ).
tff(123,plain,
~ a_truth(ork_is_female),
inference(unit_resolution,[status(thm)],[122,74]) ).
tff(124,plain,
( ( a_truth(ork_is_female)
| ~ female(ork) )
<=> ( a_truth(ork_is_female)
| ~ female(ork) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(125,plain,
( ( ~ female(ork)
| a_truth(ork_is_female) )
<=> ( a_truth(ork_is_female)
| ~ female(ork) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(126,axiom,
( ~ female(ork)
| a_truth(ork_is_female) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_female2) ).
tff(127,plain,
( a_truth(ork_is_female)
| ~ female(ork) ),
inference(modus_ponens,[status(thm)],[126,125]) ).
tff(128,plain,
( a_truth(ork_is_female)
| ~ female(ork) ),
inference(modus_ponens,[status(thm)],[127,124]) ).
tff(129,plain,
~ female(ork),
inference(unit_resolution,[status(thm)],[128,123]) ).
tff(130,plain,
( ( ~ ! [X: $i] :
( female(X)
| male(X) )
| female(ork)
| male(ork) )
<=> ( ~ ! [X: $i] :
( female(X)
| male(X) )
| female(ork)
| male(ork) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(131,plain,
( ~ ! [X: $i] :
( female(X)
| male(X) )
| female(ork)
| male(ork) ),
inference(quant_inst,[status(thm)],[]) ).
tff(132,plain,
( ~ ! [X: $i] :
( female(X)
| male(X) )
| female(ork)
| male(ork) ),
inference(modus_ponens,[status(thm)],[131,130]) ).
tff(133,plain,
male(ork),
inference(unit_resolution,[status(thm)],[132,37,129]) ).
tff(134,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(bog_is_male)
| ~ liar(ork)
| ~ says(ork,bog_is_male) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(bog_is_male)
| ~ liar(ork)
| ~ says(ork,bog_is_male) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(135,plain,
( ( ~ liar(ork)
| ~ a_truth(bog_is_male)
| ~ says(ork,bog_is_male) )
<=> ( ~ a_truth(bog_is_male)
| ~ liar(ork)
| ~ says(ork,bog_is_male) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(136,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ liar(ork)
| ~ a_truth(bog_is_male)
| ~ says(ork,bog_is_male) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(bog_is_male)
| ~ liar(ork)
| ~ says(ork,bog_is_male) ) ),
inference(monotonicity,[status(thm)],[135]) ).
tff(137,plain,
( ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ liar(ork)
| ~ a_truth(bog_is_male)
| ~ says(ork,bog_is_male) )
<=> ( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(bog_is_male)
| ~ liar(ork)
| ~ says(ork,bog_is_male) ) ),
inference(transitivity,[status(thm)],[136,134]) ).
tff(138,plain,
( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ liar(ork)
| ~ a_truth(bog_is_male)
| ~ says(ork,bog_is_male) ),
inference(quant_inst,[status(thm)],[]) ).
tff(139,plain,
( ~ ! [Y: $i,X: $i] :
( ~ liar(X)
| ~ a_truth(Y)
| ~ says(X,Y) )
| ~ a_truth(bog_is_male)
| ~ liar(ork)
| ~ says(ork,bog_is_male) ),
inference(modus_ponens,[status(thm)],[138,137]) ).
tff(140,plain,
( ~ a_truth(bog_is_male)
| ~ liar(ork) ),
inference(unit_resolution,[status(thm)],[139,87,18]) ).
tff(141,plain,
~ liar(ork),
inference(unit_resolution,[status(thm)],[140,47]) ).
tff(142,plain,
( ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| liar(ork)
| ~ from_venus(ork)
| ~ male(ork) )
<=> ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| liar(ork)
| ~ from_venus(ork)
| ~ male(ork) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(143,plain,
( ( ~ from_venus(ork)
| liar(ork)
| ~ male(ork) )
<=> ( liar(ork)
| ~ from_venus(ork)
| ~ male(ork) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(144,plain,
( ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(ork)
| liar(ork)
| ~ male(ork) )
<=> ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| liar(ork)
| ~ from_venus(ork)
| ~ male(ork) ) ),
inference(monotonicity,[status(thm)],[143]) ).
tff(145,plain,
( ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(ork)
| liar(ork)
| ~ male(ork) )
<=> ( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| liar(ork)
| ~ from_venus(ork)
| ~ male(ork) ) ),
inference(transitivity,[status(thm)],[144,142]) ).
tff(146,plain,
( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| ~ from_venus(ork)
| liar(ork)
| ~ male(ork) ),
inference(quant_inst,[status(thm)],[]) ).
tff(147,plain,
( ~ ! [X: $i] :
( ~ from_venus(X)
| liar(X)
| ~ male(X) )
| liar(ork)
| ~ from_venus(ork)
| ~ male(ork) ),
inference(modus_ponens,[status(thm)],[146,145]) ).
tff(148,plain,
( ~ from_venus(ork)
| ~ male(ork) ),
inference(unit_resolution,[status(thm)],[147,66,141]) ).
tff(149,plain,
$false,
inference(unit_resolution,[status(thm)],[148,133,112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PUZ006-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n001.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 : 300
% 0.12/0.34 % DateTime : Fri Jun 20 02:43:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.21/0.38 % SZS status Unsatisfiable
% 0.21/0.38 % SZS output start Proof
% See solution above
% 0.21/0.39 % E exiting
%------------------------------------------------------------------------------