%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ007-1 : 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 : 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 : 300s
% DateTime : Tue May 5 05:02:05 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.71s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of clauses : 69 ( 15 unt; 12 nHn; 65 RR)
% Number of literals : 141 ( 2 equ; 82 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(a_says_hes_from_mars,hypothesis,
says(a,a_from_mars),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_hes_from_mars) ).
cnf(marsian_females_are_liars,axiom,
( liar(X1)
| ~ from_mars(X1)
| ~ female(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',marsian_females_are_liars) ).
cnf(a_from_mars2,hypothesis,
( from_mars(a)
| ~ a_truth(a_from_mars) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars2) ).
cnf(not_truthteller_and_liar,axiom,
( ~ truthteller(X1)
| ~ liar(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',not_truthteller_and_liar) ).
cnf(false_statements_made_by_liars,axiom,
( a_truth(statement_by(X1))
| liar(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',false_statements_made_by_liars) ).
cnf(male_or_female,axiom,
( male(X1)
| female(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).
cnf(venusian_female_are_truthtellers,axiom,
( truthteller(X1)
| ~ from_venus(X1)
| ~ female(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',venusian_female_are_truthtellers) ).
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(b_says_a_lies,hypothesis,
says(b,a_has_lied),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_lies) ).
cnf(different_sex2,hypothesis,
( female(b)
| ~ male(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_sex2) ).
cnf(b_states,hypothesis,
statement_by(b) = a_has_lied,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_states) ).
cnf(one_from_venus,negated_conjecture,
( from_venus(a)
| from_venus(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_venus) ).
cnf(truth_of_bs_statement,hypothesis,
( a_truth(a_from_mars)
| a_truth(statement_by(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truth_of_bs_statement) ).
cnf(a_from_mars3,hypothesis,
( ~ a_truth(a_from_mars)
| ~ a_truth(statement_by(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars3) ).
cnf(a_from_mars1,hypothesis,
( a_truth(a_from_mars)
| ~ from_mars(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars1) ).
cnf(one_from_mars,negated_conjecture,
( from_mars(b)
| from_mars(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_mars) ).
cnf(true_statements_made_by_truthtellers,axiom,
( truthteller(X1)
| ~ a_truth(statement_by(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',true_statements_made_by_truthtellers) ).
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(c_0_19,axiom,
( ~ liar(X1)
| ~ says(X1,X2)
| ~ a_truth(X2) ),
liars_make_false_statements ).
cnf(c_0_20,hypothesis,
says(a,a_from_mars),
a_says_hes_from_mars ).
cnf(c_0_21,hypothesis,
( ~ a_truth(a_from_mars)
| ~ liar(a) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,axiom,
( liar(X1)
| ~ from_mars(X1)
| ~ female(X1) ),
marsian_females_are_liars ).
cnf(c_0_23,hypothesis,
( from_mars(a)
| ~ a_truth(a_from_mars) ),
a_from_mars2 ).
cnf(c_0_24,axiom,
( ~ truthteller(X1)
| ~ liar(X1) ),
not_truthteller_and_liar ).
cnf(c_0_25,axiom,
( a_truth(statement_by(X1))
| liar(X1) ),
false_statements_made_by_liars ).
cnf(c_0_26,hypothesis,
( ~ a_truth(a_from_mars)
| ~ female(a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_27,axiom,
( male(X1)
| female(X1) ),
male_or_female ).
cnf(c_0_28,plain,
( a_truth(statement_by(X1))
| ~ truthteller(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,axiom,
( truthteller(X1)
| ~ from_venus(X1)
| ~ female(X1) ),
venusian_female_are_truthtellers ).
cnf(c_0_30,axiom,
( liar(X1)
| ~ from_venus(X1)
| ~ male(X1) ),
venusian_males_are_liars ).
cnf(c_0_31,hypothesis,
( male(a)
| ~ a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,hypothesis,
says(b,a_has_lied),
b_says_a_lies ).
cnf(c_0_33,plain,
( a_truth(statement_by(X1))
| ~ female(X1)
| ~ from_venus(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,hypothesis,
( female(b)
| ~ male(a) ),
different_sex2 ).
cnf(c_0_35,hypothesis,
statement_by(b) = a_has_lied,
b_states ).
cnf(c_0_36,hypothesis,
( ~ a_truth(a_from_mars)
| ~ from_venus(a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_30]),c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( from_venus(a)
| from_venus(b) ),
one_from_venus ).
cnf(c_0_38,hypothesis,
( a_truth(a_from_mars)
| a_truth(statement_by(b)) ),
truth_of_bs_statement ).
cnf(c_0_39,hypothesis,
( ~ a_truth(a_has_lied)
| ~ liar(b) ),
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
cnf(c_0_40,hypothesis,
( ~ a_truth(a_from_mars)
| ~ a_truth(statement_by(b)) ),
a_from_mars3 ).
cnf(c_0_41,hypothesis,
( a_truth(a_has_lied)
| ~ male(a)
| ~ from_venus(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( from_venus(b)
| ~ a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,hypothesis,
( a_truth(a_has_lied)
| a_truth(a_from_mars) ),
inference(rw,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_44,hypothesis,
( ~ a_truth(a_has_lied)
| ~ female(b)
| ~ from_mars(b) ),
inference(spm,[status(thm)],[c_0_39,c_0_22]) ).
cnf(c_0_45,hypothesis,
( a_truth(a_from_mars)
| ~ from_mars(a) ),
a_from_mars1 ).
cnf(c_0_46,negated_conjecture,
( from_mars(b)
| from_mars(a) ),
one_from_mars ).
cnf(c_0_47,hypothesis,
( ~ a_truth(a_from_mars)
| ~ a_truth(a_has_lied) ),
inference(rw,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_48,hypothesis,
a_truth(a_has_lied),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_31]),c_0_42]),c_0_43]) ).
cnf(c_0_49,hypothesis,
( male(b)
| ~ a_truth(a_has_lied)
| ~ from_mars(b) ),
inference(spm,[status(thm)],[c_0_44,c_0_27]) ).
cnf(c_0_50,negated_conjecture,
( a_truth(a_from_mars)
| from_mars(b) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,hypothesis,
~ a_truth(a_from_mars),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_52,hypothesis,
( ~ a_truth(a_has_lied)
| ~ male(b)
| ~ from_venus(b) ),
inference(spm,[status(thm)],[c_0_39,c_0_30]) ).
cnf(c_0_53,hypothesis,
( male(b)
| ~ from_mars(b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_48])]) ).
cnf(c_0_54,negated_conjecture,
from_mars(b),
inference(sr,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
( ~ truthteller(X1)
| ~ female(X1)
| ~ from_mars(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_56,axiom,
( truthteller(X1)
| ~ a_truth(statement_by(X1)) ),
true_statements_made_by_truthtellers ).
cnf(c_0_57,hypothesis,
( ~ male(b)
| ~ from_venus(b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_48])]) ).
cnf(c_0_58,hypothesis,
male(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
cnf(c_0_59,plain,
( ~ a_truth(statement_by(X1))
| ~ female(X1)
| ~ from_mars(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,axiom,
( a_truth(X2)
| ~ truthteller(X1)
| ~ says(X1,X2) ),
truthtellers_make_true_statements ).
cnf(c_0_61,hypothesis,
~ from_venus(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_62,hypothesis,
( ~ a_truth(a_has_lied)
| ~ male(a)
| ~ from_mars(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_34]),c_0_35]) ).
cnf(c_0_63,hypothesis,
( a_truth(a_from_mars)
| ~ truthteller(a) ),
inference(spm,[status(thm)],[c_0_60,c_0_20]) ).
cnf(c_0_64,negated_conjecture,
from_venus(a),
inference(sr,[status(thm)],[c_0_37,c_0_61]) ).
cnf(c_0_65,hypothesis,
( ~ male(a)
| ~ from_mars(b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_48])]) ).
cnf(c_0_66,hypothesis,
~ female(a),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_29]),c_0_64])]),c_0_51]) ).
cnf(c_0_67,hypothesis,
~ male(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_54])]) ).
cnf(c_0_68,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_27]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ007-1 : 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
% 0.14/0.32 % Computer : n020.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 01:33:05 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.24/1.71 % Version : CSE_E---1.7
% 1.24/1.71 % Problem : theBenchmark.p
% 1.24/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.71 % SZS output start CNFRefutation
% See solution above
% 1.24/1.71 % Total time : 1.373s
%------------------------------------------------------------------------------