%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PUZ007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 02:02:04 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.58s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of clauses : 72 ( 12 unt; 13 nHn; 66 RR)
% Number of literals : 152 ( 2 equ; 87 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 : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(liars_make_false_statements,axiom,
( ~ a_truth(X2)
| ~ says(X1,X2)
| ~ liar(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',liars_make_false_statements) ).
cnf(a_says_hes_from_mars,hypothesis,
says(a,a_from_mars),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_says_hes_from_mars) ).
cnf(marsian_females_are_liars,axiom,
( ~ female(X1)
| ~ from_mars(X1)
| liar(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',a_from_mars2) ).
cnf(venusian_males_are_liars,axiom,
( ~ male(X1)
| ~ from_venus(X1)
| liar(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',venusian_males_are_liars) ).
cnf(truthtellers_make_true_statements,axiom,
( ~ says(X1,X2)
| ~ truthteller(X1)
| a_truth(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',truthtellers_make_true_statements) ).
cnf(male_or_female,axiom,
( female(X1)
| male(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).
cnf(b_says_a_lies,hypothesis,
says(b,a_has_lied),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_lies) ).
cnf(venusian_female_are_truthtellers,axiom,
( ~ female(X1)
| ~ from_venus(X1)
| truthteller(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',venusian_female_are_truthtellers) ).
cnf(different_sex2,hypothesis,
( ~ male(a)
| female(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',different_sex2) ).
cnf(a_from_mars1,hypothesis,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_from_mars1) ).
cnf(from_mars_or_venus,axiom,
( from_venus(X1)
| from_mars(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',from_mars_or_venus) ).
cnf(one_from_mars,negated_conjecture,
( from_mars(a)
| from_mars(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_from_mars) ).
cnf(truth_of_bs_statement,hypothesis,
( a_truth(statement_by(b))
| a_truth(a_from_mars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_of_bs_statement) ).
cnf(b_states,hypothesis,
statement_by(b) = a_has_lied,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_states) ).
cnf(not_truthteller_and_liar,axiom,
( ~ liar(X1)
| ~ truthteller(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',not_truthteller_and_liar) ).
cnf(a_from_mars3,hypothesis,
( ~ a_truth(statement_by(b))
| ~ a_truth(a_from_mars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_from_mars3) ).
cnf(false_statements_made_by_liars,axiom,
( liar(X1)
| a_truth(statement_by(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',false_statements_made_by_liars) ).
cnf(one_from_venus,negated_conjecture,
( from_venus(b)
| from_venus(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_from_venus) ).
cnf(c_0_19,plain,
( ~ a_truth(X2)
| ~ says(X1,X2)
| ~ liar(X1) ),
inference(fof_simplification,[status(thm)],[liars_make_false_statements]) ).
cnf(c_0_20,plain,
( ~ a_truth(X2)
| ~ says(X1,X2)
| ~ liar(X1) ),
c_0_19 ).
cnf(c_0_21,hypothesis,
says(a,a_from_mars),
a_says_hes_from_mars ).
cnf(c_0_22,plain,
( ~ female(X1)
| ~ from_mars(X1)
| liar(X1) ),
inference(fof_simplification,[status(thm)],[marsian_females_are_liars]) ).
cnf(c_0_23,hypothesis,
( ~ a_truth(a_from_mars)
| from_mars(a) ),
inference(fof_simplification,[status(thm)],[a_from_mars2]) ).
cnf(c_0_24,plain,
( ~ male(X1)
| ~ from_venus(X1)
| liar(X1) ),
inference(fof_simplification,[status(thm)],[venusian_males_are_liars]) ).
cnf(c_0_25,hypothesis,
( ~ liar(a)
| ~ a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( ~ female(X1)
| ~ from_mars(X1)
| liar(X1) ),
c_0_22 ).
cnf(c_0_27,hypothesis,
( ~ a_truth(a_from_mars)
| from_mars(a) ),
c_0_23 ).
cnf(c_0_28,plain,
( ~ says(X1,X2)
| ~ truthteller(X1)
| a_truth(X2) ),
inference(fof_simplification,[status(thm)],[truthtellers_make_true_statements]) ).
cnf(c_0_29,plain,
( ~ male(X1)
| ~ from_venus(X1)
| liar(X1) ),
c_0_24 ).
cnf(c_0_30,hypothesis,
( ~ female(a)
| ~ a_truth(a_from_mars) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_31,axiom,
( female(X1)
| male(X1) ),
male_or_female ).
cnf(c_0_32,hypothesis,
says(b,a_has_lied),
b_says_a_lies ).
cnf(c_0_33,plain,
( ~ says(X1,X2)
| ~ truthteller(X1)
| a_truth(X2) ),
c_0_28 ).
cnf(c_0_34,plain,
( ~ female(X1)
| ~ from_venus(X1)
| truthteller(X1) ),
inference(fof_simplification,[status(thm)],[venusian_female_are_truthtellers]) ).
cnf(c_0_35,hypothesis,
( ~ from_venus(a)
| ~ male(a)
| ~ a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_25,c_0_29]) ).
cnf(c_0_36,hypothesis,
( ~ a_truth(a_from_mars)
| male(a) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,hypothesis,
( ~ liar(b)
| ~ a_truth(a_has_lied) ),
inference(spm,[status(thm)],[c_0_20,c_0_32]) ).
cnf(c_0_38,hypothesis,
( ~ male(a)
| female(b) ),
inference(fof_simplification,[status(thm)],[different_sex2]) ).
cnf(c_0_39,hypothesis,
( ~ truthteller(a)
| a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_33,c_0_21]) ).
cnf(c_0_40,plain,
( ~ female(X1)
| ~ from_venus(X1)
| truthteller(X1) ),
c_0_34 ).
cnf(c_0_41,hypothesis,
( ~ from_venus(a)
| ~ a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,hypothesis,
( ~ from_mars(b)
| ~ female(b)
| ~ a_truth(a_has_lied) ),
inference(spm,[status(thm)],[c_0_37,c_0_26]) ).
cnf(c_0_43,hypothesis,
( ~ male(a)
| female(b) ),
c_0_38 ).
cnf(c_0_44,hypothesis,
( ~ from_venus(a)
| ~ female(a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_45,hypothesis,
( ~ from_mars(b)
| ~ male(a)
| ~ a_truth(a_has_lied) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,hypothesis,
( ~ from_venus(a)
| male(a) ),
inference(spm,[status(thm)],[c_0_44,c_0_31]) ).
cnf(c_0_47,hypothesis,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
inference(fof_simplification,[status(thm)],[a_from_mars1]) ).
cnf(c_0_48,hypothesis,
( ~ from_mars(b)
| ~ from_venus(a)
| ~ a_truth(a_has_lied) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,axiom,
( from_venus(X1)
| from_mars(X1) ),
from_mars_or_venus ).
cnf(c_0_50,negated_conjecture,
( from_mars(a)
| from_mars(b) ),
one_from_mars ).
cnf(c_0_51,hypothesis,
( a_truth(statement_by(b))
| a_truth(a_from_mars) ),
truth_of_bs_statement ).
cnf(c_0_52,hypothesis,
statement_by(b) = a_has_lied,
b_states ).
cnf(c_0_53,plain,
( ~ liar(X1)
| ~ truthteller(X1) ),
inference(fof_simplification,[status(thm)],[not_truthteller_and_liar]) ).
cnf(c_0_54,hypothesis,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
c_0_47 ).
cnf(c_0_55,hypothesis,
( ~ a_truth(a_has_lied)
| from_mars(a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_56,hypothesis,
( a_truth(a_from_mars)
| a_truth(a_has_lied) ),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,hypothesis,
( ~ a_truth(statement_by(b))
| ~ a_truth(a_from_mars) ),
inference(fof_simplification,[status(thm)],[a_from_mars3]) ).
cnf(c_0_58,plain,
( ~ liar(X1)
| ~ truthteller(X1) ),
c_0_53 ).
cnf(c_0_59,axiom,
( liar(X1)
| a_truth(statement_by(X1)) ),
false_statements_made_by_liars ).
cnf(c_0_60,hypothesis,
a_truth(a_from_mars),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_61,negated_conjecture,
( from_venus(b)
| from_venus(a) ),
one_from_venus ).
cnf(c_0_62,hypothesis,
( ~ a_truth(statement_by(b))
| ~ a_truth(a_from_mars) ),
c_0_57 ).
cnf(c_0_63,plain,
( ~ truthteller(X1)
| a_truth(statement_by(X1)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,hypothesis,
male(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_60])]) ).
cnf(c_0_65,negated_conjecture,
( ~ a_truth(a_from_mars)
| from_venus(b) ),
inference(spm,[status(thm)],[c_0_41,c_0_61]) ).
cnf(c_0_66,hypothesis,
( ~ a_truth(a_has_lied)
| ~ a_truth(a_from_mars) ),
inference(rw,[status(thm)],[c_0_62,c_0_52]) ).
cnf(c_0_67,plain,
( ~ from_venus(X1)
| ~ female(X1)
| a_truth(statement_by(X1)) ),
inference(spm,[status(thm)],[c_0_63,c_0_40]) ).
cnf(c_0_68,hypothesis,
female(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_64])]) ).
cnf(c_0_69,negated_conjecture,
from_venus(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_60])]) ).
cnf(c_0_70,hypothesis,
~ a_truth(a_has_lied),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_60])]) ).
cnf(c_0_71,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_52]),c_0_69])]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.47 % Computer : n007.cluster.edu
% 0.16/0.47 % Model : x86_64 x86_64
% 0.16/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.47 % Memory : 8046.5625MB
% 0.16/0.47 % OS : Linux 6.8.0-71-generic
% 0.16/0.47 % CPULimit : 300
% 0.16/0.47 % WCLimit : 300
% 0.16/0.47 % DateTime : Mon Sep 21 03:42:50 UTC 2026
% 0.16/0.48 % CPUTime :
% 0.16/0.48 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.55 Running first-order theorem proving
% 0.22/0.55 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.22/0.58 % Version: 3.5.1
% 0.22/0.58 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.58 % Starting sh5l with 300s (1) cores
% 0.22/0.58 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 98383 completed with status 0
% 0.22/0.58 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.58 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.58 % No SInE strategy applied
% 0.22/0.58 % Search class: FGHSF-FFSM11-SFFFFFNN
% 0.22/0.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.58 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.58 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.22/0.58 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.58 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.58 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 98385 completed with status 0
% 0.22/0.58 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.58 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.58 % No SInE strategy applied
% 0.22/0.58 % Search class: FGHSF-FFSM11-SFFFFFNN
% 0.22/0.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.58 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.58 % Preprocessing time : 0.001 s
% 0.22/0.58 % Presaturation interreduction done
% 0.22/0.58
% 0.22/0.58 % Proof found!
% 0.22/0.58 % SZS status Unsatisfiable
% 0.22/0.58 % SZS output start CNFRefutation
% See solution above
% 0.22/0.58 % Parsed axioms : 28
% 0.22/0.58 % Removed by relevancy pruning/SinE : 0
% 0.22/0.58 % Initial clauses : 28
% 0.22/0.58 % Removed in clause preprocessing : 1
% 0.22/0.58 % Initial clauses in saturation : 27
% 0.22/0.58 % Processed clauses : 141
% 0.22/0.58 % ...of these trivial : 6
% 0.22/0.58 % ...subsumed : 29
% 0.22/0.58 % ...remaining for further processing : 106
% 0.22/0.58 % Other redundant clauses eliminated : 0
% 0.22/0.58 % Clauses deleted for lack of memory : 0
% 0.22/0.58 % Backward-subsumed : 19
% 0.22/0.58 % Backward-rewritten : 18
% 0.22/0.58 % Generated clauses : 117
% 0.22/0.58 % ...of the previous two non-redundant : 103
% 0.22/0.58 % ...aggressively subsumed : 0
% 0.22/0.58 % Contextual simplify-reflections : 5
% 0.22/0.58 % Paramodulations : 114
% 0.22/0.58 % Factorizations : 0
% 0.22/0.58 % NegExts : 0
% 0.22/0.58 % Equation resolutions : 0
% 0.22/0.58 % Disequality decompositions : 0
% 0.22/0.58 % Total rewrite steps : 60
% 0.22/0.58 % ...of those cached : 54
% 0.22/0.58 % Propositional unsat checks : 0
% 0.22/0.58 % Propositional check models : 0
% 0.22/0.58 % Propositional check unsatisfiable : 0
% 0.22/0.58 % Propositional clauses : 0
% 0.22/0.58 % Propositional clauses after purity: 0
% 0.22/0.58 % Propositional unsat core size : 0
% 0.22/0.58 % Propositional preprocessing time : 0.000
% 0.22/0.58 % Propositional encoding time : 0.000
% 0.22/0.58 % Propositional solver time : 0.000
% 0.22/0.58 % Success case prop preproc time : 0.000
% 0.22/0.58 % Success case prop encoding time : 0.000
% 0.22/0.58 % Success case prop solver time : 0.000
% 0.22/0.58 % Current number of processed clauses : 39
% 0.22/0.58 % Positive orientable unit clauses : 10
% 0.22/0.58 % Positive unorientable unit clauses: 0
% 0.22/0.58 % Negative unit clauses : 6
% 0.22/0.58 % Non-unit-clauses : 23
% 0.22/0.58 % Current number of unprocessed clauses: 12
% 0.22/0.58 % ...number of literals in the above : 30
% 0.22/0.58 % Current number of archived formulas : 0
% 0.22/0.58 % Current number of archived clauses : 67
% 0.22/0.58 % Clause-clause subsumption calls (NU) : 667
% 0.22/0.58 % Rec. Clause-clause subsumption calls : 435
% 0.22/0.58 % Non-unit clause-clause subsumptions : 33
% 0.22/0.58 % Unit Clause-clause subsumption calls : 98
% 0.22/0.58 % Rewrite failures with RHS unbound : 0
% 0.22/0.58 % BW rewrite match attempts : 4
% 0.22/0.58 % BW rewrite match successes : 4
% 0.22/0.58 % Condensation attempts : 0
% 0.22/0.58 % Condensation successes : 0
% 0.22/0.58 % Termbank termtop insertions : 1664
% 0.22/0.58 % Search garbage collected termcells : 41
% 0.22/0.58
% 0.22/0.58 % -------------------------------------------------
% 0.22/0.58 % User time : 0.007 s
% 0.22/0.58 % System time : 0.003 s
% 0.22/0.58 % Total time : 0.011 s
% 0.22/0.58 % Maximum resident set size: 3644 pages
% 0.22/0.58
% 0.22/0.58 % -------------------------------------------------
% 0.22/0.58 % User time : 0.034 s
% 0.22/0.58 % System time : 0.013 s
% 0.22/0.58 % Total time : 0.047 s
% 0.22/0.58 % Maximum resident set size: 4864 pages
% 0.22/0.58 % E exiting
%------------------------------------------------------------------------------