%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:01:21 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of clauses : 72 ( 13 unt; 12 nHn; 68 RR)
% Number of literals : 151 ( 2 equ; 88 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 : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(liars_make_false_statements,axiom,
( ~ a_truth(X2)
| ~ says(X1,X2)
| ~ liar(X1) ),
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,
( ~ female(X1)
| ~ from_mars(X1)
| liar(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',marsian_females_are_liars) ).
cnf(a_from_mars2,hypothesis,
( ~ a_truth(a_from_mars)
| from_mars(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars2) ).
cnf(truthtellers_make_true_statements,axiom,
( ~ says(X1,X2)
| ~ truthteller(X1)
| a_truth(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',truthtellers_make_true_statements) ).
cnf(b_says_a_lies,hypothesis,
says(b,a_has_lied),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_lies) ).
cnf(venusian_female_are_truthtellers,axiom,
( ~ female(X1)
| ~ from_venus(X1)
| truthteller(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',venusian_female_are_truthtellers) ).
cnf(venusian_males_are_liars,axiom,
( ~ male(X1)
| ~ from_venus(X1)
| liar(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',venusian_males_are_liars) ).
cnf(male_or_female,axiom,
( female(X1)
| male(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).
cnf(different_sex2,hypothesis,
( ~ male(a)
| female(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_sex2) ).
cnf(a_from_mars3,hypothesis,
( ~ a_truth(statement_by(b))
| ~ a_truth(a_from_mars) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars3) ).
cnf(one_from_venus,negated_conjecture,
( from_venus(b)
| from_venus(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_venus) ).
cnf(truth_of_bs_statement,hypothesis,
( a_truth(statement_by(b))
| a_truth(a_from_mars) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truth_of_bs_statement) ).
cnf(b_states,hypothesis,
statement_by(b) = a_has_lied,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_states) ).
cnf(a_from_mars1,hypothesis,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars1) ).
cnf(one_from_mars,negated_conjecture,
( from_mars(a)
| from_mars(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_mars) ).
cnf(not_from_mars_and_venus,axiom,
( ~ from_venus(X1)
| ~ from_mars(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',not_from_mars_and_venus) ).
cnf(from_mars_or_venus,axiom,
( from_venus(X1)
| from_mars(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',from_mars_or_venus) ).
cnf(c_0_18,plain,
( ~ a_truth(X2)
| ~ says(X1,X2)
| ~ liar(X1) ),
inference(fof_simplification,[status(thm)],[liars_make_false_statements]) ).
cnf(c_0_19,plain,
( ~ a_truth(X2)
| ~ says(X1,X2)
| ~ liar(X1) ),
c_0_18 ).
cnf(c_0_20,hypothesis,
says(a,a_from_mars),
a_says_hes_from_mars ).
cnf(c_0_21,plain,
( ~ female(X1)
| ~ from_mars(X1)
| liar(X1) ),
inference(fof_simplification,[status(thm)],[marsian_females_are_liars]) ).
cnf(c_0_22,hypothesis,
( ~ a_truth(a_from_mars)
| from_mars(a) ),
inference(fof_simplification,[status(thm)],[a_from_mars2]) ).
cnf(c_0_23,plain,
( ~ says(X1,X2)
| ~ truthteller(X1)
| a_truth(X2) ),
inference(fof_simplification,[status(thm)],[truthtellers_make_true_statements]) ).
cnf(c_0_24,hypothesis,
( ~ liar(a)
| ~ a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( ~ female(X1)
| ~ from_mars(X1)
| liar(X1) ),
c_0_21 ).
cnf(c_0_26,hypothesis,
( ~ a_truth(a_from_mars)
| from_mars(a) ),
c_0_22 ).
cnf(c_0_27,plain,
( ~ says(X1,X2)
| ~ truthteller(X1)
| a_truth(X2) ),
c_0_23 ).
cnf(c_0_28,hypothesis,
says(b,a_has_lied),
b_says_a_lies ).
cnf(c_0_29,plain,
( ~ female(X1)
| ~ from_venus(X1)
| truthteller(X1) ),
inference(fof_simplification,[status(thm)],[venusian_female_are_truthtellers]) ).
cnf(c_0_30,plain,
( ~ male(X1)
| ~ from_venus(X1)
| liar(X1) ),
inference(fof_simplification,[status(thm)],[venusian_males_are_liars]) ).
cnf(c_0_31,hypothesis,
( ~ female(a)
| ~ a_truth(a_from_mars) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_32,axiom,
( female(X1)
| male(X1) ),
male_or_female ).
cnf(c_0_33,hypothesis,
( ~ truthteller(b)
| a_truth(a_has_lied) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
( ~ female(X1)
| ~ from_venus(X1)
| truthteller(X1) ),
c_0_29 ).
cnf(c_0_35,hypothesis,
( ~ male(a)
| female(b) ),
inference(fof_simplification,[status(thm)],[different_sex2]) ).
cnf(c_0_36,plain,
( ~ male(X1)
| ~ from_venus(X1)
| liar(X1) ),
c_0_30 ).
cnf(c_0_37,hypothesis,
( ~ a_truth(a_from_mars)
| male(a) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,hypothesis,
( ~ a_truth(statement_by(b))
| ~ a_truth(a_from_mars) ),
inference(fof_simplification,[status(thm)],[a_from_mars3]) ).
cnf(c_0_39,hypothesis,
( ~ from_venus(b)
| ~ female(b)
| a_truth(a_has_lied) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,hypothesis,
( ~ male(a)
| female(b) ),
c_0_35 ).
cnf(c_0_41,hypothesis,
( ~ from_venus(a)
| ~ a_truth(a_from_mars) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_36]),c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( from_venus(b)
| from_venus(a) ),
one_from_venus ).
cnf(c_0_43,hypothesis,
( a_truth(statement_by(b))
| a_truth(a_from_mars) ),
truth_of_bs_statement ).
cnf(c_0_44,hypothesis,
statement_by(b) = a_has_lied,
b_states ).
cnf(c_0_45,hypothesis,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
inference(fof_simplification,[status(thm)],[a_from_mars1]) ).
cnf(c_0_46,hypothesis,
( ~ a_truth(statement_by(b))
| ~ a_truth(a_from_mars) ),
c_0_38 ).
cnf(c_0_47,hypothesis,
( ~ from_venus(b)
| ~ male(a)
| a_truth(a_has_lied) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,negated_conjecture,
( ~ a_truth(a_from_mars)
| from_venus(b) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,hypothesis,
( a_truth(a_from_mars)
| a_truth(a_has_lied) ),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,hypothesis,
( ~ liar(b)
| ~ a_truth(a_has_lied) ),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_51,hypothesis,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
c_0_45 ).
cnf(c_0_52,negated_conjecture,
( from_mars(a)
| from_mars(b) ),
one_from_mars ).
cnf(c_0_53,hypothesis,
( ~ a_truth(a_has_lied)
| ~ a_truth(a_from_mars) ),
inference(rw,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_54,hypothesis,
a_truth(a_has_lied),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_37]),c_0_48]),c_0_49]) ).
cnf(c_0_55,plain,
( ~ from_venus(X1)
| ~ from_mars(X1) ),
inference(fof_simplification,[status(thm)],[not_from_mars_and_venus]) ).
cnf(c_0_56,hypothesis,
( ~ from_mars(b)
| ~ female(b)
| ~ a_truth(a_has_lied) ),
inference(spm,[status(thm)],[c_0_50,c_0_25]) ).
cnf(c_0_57,negated_conjecture,
( from_mars(b)
| a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,hypothesis,
~ a_truth(a_from_mars),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
cnf(c_0_59,hypothesis,
( ~ truthteller(a)
| a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_27,c_0_20]) ).
cnf(c_0_60,plain,
( ~ from_venus(X1)
| ~ from_mars(X1) ),
c_0_55 ).
cnf(c_0_61,hypothesis,
( ~ from_mars(b)
| ~ male(a)
| ~ a_truth(a_has_lied) ),
inference(spm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_62,negated_conjecture,
from_mars(b),
inference(sr,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,hypothesis,
( ~ from_venus(a)
| ~ female(a)
| a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_59,c_0_34]) ).
cnf(c_0_64,negated_conjecture,
( ~ from_mars(a)
| from_venus(b) ),
inference(spm,[status(thm)],[c_0_60,c_0_42]) ).
cnf(c_0_65,hypothesis,
~ male(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_54])]),c_0_62])]) ).
cnf(c_0_66,hypothesis,
( ~ from_venus(a)
| male(a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_32]),c_0_41]) ).
cnf(c_0_67,negated_conjecture,
( ~ from_mars(a)
| ~ from_mars(b) ),
inference(spm,[status(thm)],[c_0_60,c_0_64]) ).
cnf(c_0_68,hypothesis,
~ from_venus(a),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,axiom,
( from_venus(X1)
| from_mars(X1) ),
from_mars_or_venus ).
cnf(c_0_70,negated_conjecture,
~ from_mars(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_62])]) ).
cnf(c_0_71,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 03:45:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42 % Version: 3.5.1
% 0.14/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.42 % Starting sh5l with 300s (1) cores
% 0.14/0.42 % new_bool_3 with pid 1615310 completed with status 0
% 0.14/0.42 % Result found by new_bool_3
% 0.14/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.42 % Search class: FGHSF-FFSM11-SFFFFFNN
% 0.14/0.42 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.42 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.42 % SubtermCWHack with pid 1615315 completed with status 0
% 0.14/0.42 % Result found by SubtermCWHack
% 0.14/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.42 % Search class: FGHSF-FFSM11-SFFFFFNN
% 0.14/0.42 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.42 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.42 % Preprocessing time : 0.001 s
% 0.14/0.42
% 0.14/0.42 % Proof found!
% 0.14/0.42 % SZS status Unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation
% See solution above
% 0.14/0.42 % Parsed axioms : 28
% 0.14/0.42 % Removed by relevancy pruning/SinE : 0
% 0.14/0.42 % Initial clauses : 28
% 0.14/0.42 % Removed in clause preprocessing : 1
% 0.14/0.42 % Initial clauses in saturation : 27
% 0.14/0.42 % Processed clauses : 85
% 0.14/0.42 % ...of these trivial : 0
% 0.14/0.42 % ...subsumed : 15
% 0.14/0.42 % ...remaining for further processing : 70
% 0.14/0.42 % Other redundant clauses eliminated : 0
% 0.14/0.42 % Clauses deleted for lack of memory : 0
% 0.14/0.42 % Backward-subsumed : 16
% 0.14/0.42 % Backward-rewritten : 16
% 0.14/0.42 % Generated clauses : 101
% 0.14/0.42 % ...of the previous two non-redundant : 82
% 0.14/0.42 % ...aggressively subsumed : 0
% 0.14/0.42 % Contextual simplify-reflections : 5
% 0.14/0.42 % Paramodulations : 98
% 0.14/0.42 % Factorizations : 0
% 0.14/0.42 % NegExts : 0
% 0.14/0.42 % Equation resolutions : 0
% 0.14/0.42 % Disequality decompositions : 0
% 0.14/0.42 % Total rewrite steps : 43
% 0.14/0.42 % ...of those cached : 37
% 0.14/0.42 % Propositional unsat checks : 0
% 0.14/0.42 % Propositional check models : 0
% 0.14/0.42 % Propositional check unsatisfiable : 0
% 0.14/0.42 % Propositional clauses : 0
% 0.14/0.42 % Propositional clauses after purity: 0
% 0.14/0.42 % Propositional unsat core size : 0
% 0.14/0.42 % Propositional preprocessing time : 0.000
% 0.14/0.42 % Propositional encoding time : 0.000
% 0.14/0.42 % Propositional solver time : 0.000
% 0.14/0.42 % Success case prop preproc time : 0.000
% 0.14/0.42 % Success case prop encoding time : 0.000
% 0.14/0.42 % Success case prop solver time : 0.000
% 0.14/0.42 % Current number of processed clauses : 35
% 0.14/0.42 % Positive orientable unit clauses : 8
% 0.14/0.42 % Positive unorientable unit clauses: 0
% 0.14/0.42 % Negative unit clauses : 5
% 0.14/0.42 % Non-unit-clauses : 22
% 0.14/0.42 % Current number of unprocessed clauses: 23
% 0.14/0.42 % ...number of literals in the above : 59
% 0.14/0.42 % Current number of archived formulas : 0
% 0.14/0.42 % Current number of archived clauses : 35
% 0.14/0.42 % Clause-clause subsumption calls (NU) : 458
% 0.14/0.42 % Rec. Clause-clause subsumption calls : 321
% 0.14/0.42 % Non-unit clause-clause subsumptions : 20
% 0.14/0.42 % Unit Clause-clause subsumption calls : 92
% 0.14/0.42 % Rewrite failures with RHS unbound : 0
% 0.14/0.42 % BW rewrite match attempts : 3
% 0.14/0.42 % BW rewrite match successes : 3
% 0.14/0.42 % Condensation attempts : 0
% 0.14/0.42 % Condensation successes : 0
% 0.14/0.42 % Termbank termtop insertions : 1419
% 0.14/0.42 % Search garbage collected termcells : 41
% 0.14/0.42
% 0.14/0.42 % -------------------------------------------------
% 0.14/0.42 % User time : 0.004 s
% 0.14/0.42 % System time : 0.001 s
% 0.14/0.42 % Total time : 0.005 s
% 0.14/0.42 % Maximum resident set size: 3592 pages
% 0.14/0.42
% 0.14/0.42 % -------------------------------------------------
% 0.14/0.42 % User time : 0.007 s
% 0.14/0.42 % System time : 0.004 s
% 0.14/0.42 % Total time : 0.011 s
% 0.14/0.42 % Maximum resident set size: 4864 pages
% 0.14/0.42 % E exiting
%------------------------------------------------------------------------------