%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ006-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:02:05 PM UTC 2026
% Result : Unsatisfiable 1.21s 1.71s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of clauses : 50 ( 23 unt; 6 nHn; 44 RR)
% Number of literals : 83 ( 4 equ; 38 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(bog_is_male2,hypothesis,
( a_truth(bog_is_male)
| ~ male(bog) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_male2) ).
cnf(male_or_female,axiom,
( male(X1)
| female(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).
cnf(prove_bog_is_female,negated_conjecture,
~ female(bog),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bog_is_female) ).
cnf(liars_make_false_statements,axiom,
( ~ liar(X1)
| ~ says(X1,X2)
| ~ a_truth(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',liars_make_false_statements) ).
cnf(ork_says_bog_is_male,hypothesis,
says(ork,bog_is_male),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_says_bog_is_male) ).
cnf(truthteller_or_liar,axiom,
( truthteller(X1)
| liar(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',truthteller_or_liar) ).
cnf(bog_says_ork_is_from_mar,hypothesis,
says(bog,ork_is_from_mars),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_says_ork_is_from_mar) ).
cnf(bog_is_male1,hypothesis,
( male(bog)
| ~ a_truth(bog_is_male) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_male1) ).
cnf(truthtellers_make_true_statements,axiom,
( a_truth(X2)
| ~ truthteller(X1)
| ~ says(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',truthtellers_make_true_statements) ).
cnf(ork_says_bog_is_from_venus,hypothesis,
says(ork,bog_is_from_venus),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_says_bog_is_from_venus) ).
cnf(people_say_their_statements,axiom,
( X2 = statement_by(X1)
| ~ says(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',people_say_their_statements) ).
cnf(bog_says_ork_is_female,hypothesis,
says(bog,ork_is_female),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_says_ork_is_female) ).
cnf(venusian_males_are_liars,axiom,
( liar(X1)
| ~ from_venus(X1)
| ~ male(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',venusian_males_are_liars) ).
cnf(bog_is_from_venus1,hypothesis,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_from_venus1) ).
cnf(ork_is_female2,hypothesis,
( a_truth(ork_is_female)
| ~ female(ork) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_female2) ).
cnf(from_mars_or_venus,axiom,
( from_mars(X1)
| from_venus(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',from_mars_or_venus) ).
cnf(ork_is_from_mars2,hypothesis,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_from_mars2) ).
cnf(c_0_17,hypothesis,
( a_truth(bog_is_male)
| ~ male(bog) ),
bog_is_male2 ).
cnf(c_0_18,axiom,
( male(X1)
| female(X1) ),
male_or_female ).
cnf(c_0_19,negated_conjecture,
~ female(bog),
prove_bog_is_female ).
cnf(c_0_20,axiom,
( ~ liar(X1)
| ~ says(X1,X2)
| ~ a_truth(X2) ),
liars_make_false_statements ).
cnf(c_0_21,hypothesis,
says(ork,bog_is_male),
ork_says_bog_is_male ).
cnf(c_0_22,hypothesis,
a_truth(bog_is_male),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_23,hypothesis,
~ liar(ork),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_24,axiom,
( truthteller(X1)
| liar(X1) ),
truthteller_or_liar ).
cnf(c_0_25,hypothesis,
says(bog,ork_is_from_mars),
bog_says_ork_is_from_mar ).
cnf(c_0_26,hypothesis,
( male(bog)
| ~ a_truth(bog_is_male) ),
bog_is_male1 ).
cnf(c_0_27,axiom,
( a_truth(X2)
| ~ truthteller(X1)
| ~ says(X1,X2) ),
truthtellers_make_true_statements ).
cnf(c_0_28,hypothesis,
says(ork,bog_is_from_venus),
ork_says_bog_is_from_venus ).
cnf(c_0_29,hypothesis,
truthteller(ork),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,axiom,
( X2 = statement_by(X1)
| ~ says(X1,X2) ),
people_say_their_statements ).
cnf(c_0_31,hypothesis,
says(bog,ork_is_female),
bog_says_ork_is_female ).
cnf(c_0_32,hypothesis,
( ~ a_truth(ork_is_from_mars)
| ~ liar(bog) ),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_33,axiom,
( liar(X1)
| ~ from_venus(X1)
| ~ male(X1) ),
venusian_males_are_liars ).
cnf(c_0_34,hypothesis,
male(bog),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_22])]) ).
cnf(c_0_35,hypothesis,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
bog_is_from_venus1 ).
cnf(c_0_36,hypothesis,
a_truth(bog_is_from_venus),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_37,hypothesis,
statement_by(bog) = ork_is_female,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,hypothesis,
( ~ a_truth(ork_is_from_mars)
| ~ from_venus(bog) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_39,hypothesis,
from_venus(bog),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_40,hypothesis,
( a_truth(ork_is_female)
| ~ female(ork) ),
ork_is_female2 ).
cnf(c_0_41,hypothesis,
ork_is_female = ork_is_from_mars,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_25]),c_0_37]) ).
cnf(c_0_42,hypothesis,
~ a_truth(ork_is_from_mars),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).
cnf(c_0_43,hypothesis,
( ~ male(ork)
| ~ from_venus(ork) ),
inference(spm,[status(thm)],[c_0_23,c_0_33]) ).
cnf(c_0_44,hypothesis,
~ female(ork),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_45,hypothesis,
~ from_venus(ork),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_18]),c_0_44]) ).
cnf(c_0_46,axiom,
( from_mars(X1)
| from_venus(X1) ),
from_mars_or_venus ).
cnf(c_0_47,hypothesis,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
ork_is_from_mars2 ).
cnf(c_0_48,hypothesis,
from_mars(ork),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ006-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n016.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 01:33:21 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.21/1.71 % Version : CSE_E---1.7
% 1.21/1.71 % Problem : theBenchmark.p
% 1.21/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.21/1.71 % SZS output start CNFRefutation
% See solution above
% 1.21/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------