%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ020-1 : 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 : n018.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 02:01:35 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 10 unt; 5 nHn; 21 RR)
% Number of literals : 38 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(knight_wife_means_truthful_husband,hypothesis,
( ~ knight(wife)
| a_truth(statement_by(husband)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knight_wife_means_truthful_husband) ).
cnf(knaves_do_not_say_the_truth,axiom,
( ~ a_truth(X2)
| ~ says(X1,X2)
| ~ knave(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knaves_do_not_say_the_truth) ).
cnf(knight_wife_or_truthful_husband,hypothesis,
( knight(wife)
| a_truth(statement_by(husband)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knight_wife_or_truthful_husband) ).
cnf(husband_makes_statements,hypothesis,
says(husband,statement_by(husband)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband_makes_statements) ).
cnf(everyone_a_knight_or_knave,axiom,
( ~ person(X1)
| knave(X1)
| knight(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
cnf(prove_knight_husband,negated_conjecture,
~ knight(husband),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_knight_husband) ).
cnf(husband,hypothesis,
person(husband),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband) ).
cnf(c_0_7,hypothesis,
( ~ knight(wife)
| a_truth(statement_by(husband)) ),
inference(fof_simplification,[status(thm)],[knight_wife_means_truthful_husband]) ).
cnf(c_0_8,plain,
( ~ a_truth(X2)
| ~ says(X1,X2)
| ~ knave(X1) ),
inference(fof_simplification,[status(thm)],[knaves_do_not_say_the_truth]) ).
cnf(c_0_9,hypothesis,
( ~ knight(wife)
| a_truth(statement_by(husband)) ),
c_0_7 ).
cnf(c_0_10,hypothesis,
( knight(wife)
| a_truth(statement_by(husband)) ),
knight_wife_or_truthful_husband ).
cnf(c_0_11,plain,
( ~ a_truth(X2)
| ~ says(X1,X2)
| ~ knave(X1) ),
c_0_8 ).
cnf(c_0_12,hypothesis,
says(husband,statement_by(husband)),
husband_makes_statements ).
cnf(c_0_13,hypothesis,
a_truth(statement_by(husband)),
inference(csr,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( ~ person(X1)
| knave(X1)
| knight(X1) ),
inference(fof_simplification,[status(thm)],[everyone_a_knight_or_knave]) ).
cnf(c_0_15,negated_conjecture,
~ knight(husband),
inference(fof_simplification,[status(thm)],[prove_knight_husband]) ).
cnf(c_0_16,hypothesis,
~ knave(husband),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_17,plain,
( ~ person(X1)
| knave(X1)
| knight(X1) ),
c_0_14 ).
cnf(c_0_18,hypothesis,
person(husband),
husband ).
cnf(c_0_19,negated_conjecture,
~ knight(husband),
c_0_15 ).
cnf(c_0_20,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ020-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 03:47:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.43 % Version: 3.5.1
% 0.10/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.43 % Starting sh5l with 300s (1) cores
% 0.10/0.43 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 896554 completed with status 0
% 0.10/0.43 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.43 % No SInE strategy applied
% 0.10/0.43 % Search class: FGHSF-FFSS11-SFFFFFNN
% 0.10/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.10/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.10/0.43 % new_bool_1 with pid 896562 completed with status 0
% 0.10/0.43 % Result found by new_bool_1
% 0.10/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.43 % No SInE strategy applied
% 0.10/0.43 % Search class: FGHSF-FFSS11-SFFFFFNN
% 0.10/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.10/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.10/0.43 % Preprocessing time : 0.001 s
% 0.10/0.43 % Presaturation interreduction done
% 0.10/0.43
% 0.10/0.43 % Proof found!
% 0.10/0.43 % SZS status Unsatisfiable
% 0.10/0.43 % SZS output start CNFRefutation
% See solution above
% 0.10/0.43 % Parsed axioms : 19
% 0.10/0.43 % Removed by relevancy pruning/SinE : 0
% 0.10/0.43 % Initial clauses : 19
% 0.10/0.43 % Removed in clause preprocessing : 1
% 0.10/0.43 % Initial clauses in saturation : 18
% 0.10/0.43 % Processed clauses : 32
% 0.10/0.43 % ...of these trivial : 0
% 0.10/0.43 % ...subsumed : 2
% 0.10/0.43 % ...remaining for further processing : 30
% 0.10/0.43 % Other redundant clauses eliminated : 2
% 0.10/0.43 % Clauses deleted for lack of memory : 0
% 0.10/0.43 % Backward-subsumed : 1
% 0.10/0.43 % Backward-rewritten : 0
% 0.10/0.43 % Generated clauses : 5
% 0.10/0.43 % ...of the previous two non-redundant : 3
% 0.10/0.43 % ...aggressively subsumed : 0
% 0.10/0.43 % Contextual simplify-reflections : 1
% 0.10/0.43 % Paramodulations : 3
% 0.10/0.43 % Factorizations : 0
% 0.10/0.43 % NegExts : 0
% 0.10/0.43 % Equation resolutions : 2
% 0.10/0.43 % Disequality decompositions : 0
% 0.10/0.43 % Total rewrite steps : 2
% 0.10/0.43 % ...of those cached : 0
% 0.10/0.43 % Propositional unsat checks : 0
% 0.10/0.43 % Propositional check models : 0
% 0.10/0.43 % Propositional check unsatisfiable : 0
% 0.10/0.43 % Propositional clauses : 0
% 0.10/0.43 % Propositional clauses after purity: 0
% 0.10/0.43 % Propositional unsat core size : 0
% 0.10/0.43 % Propositional preprocessing time : 0.000
% 0.10/0.43 % Propositional encoding time : 0.000
% 0.10/0.43 % Propositional solver time : 0.000
% 0.10/0.43 % Success case prop preproc time : 0.000
% 0.10/0.43 % Success case prop encoding time : 0.000
% 0.10/0.43 % Success case prop solver time : 0.000
% 0.10/0.43 % Current number of processed clauses : 12
% 0.10/0.43 % Positive orientable unit clauses : 4
% 0.10/0.43 % Positive unorientable unit clauses: 0
% 0.10/0.43 % Negative unit clauses : 5
% 0.10/0.43 % Non-unit-clauses : 3
% 0.10/0.43 % Current number of unprocessed clauses: 4
% 0.10/0.43 % ...number of literals in the above : 11
% 0.10/0.43 % Current number of archived formulas : 0
% 0.10/0.43 % Current number of archived clauses : 16
% 0.10/0.43 % Clause-clause subsumption calls (NU) : 3
% 0.10/0.43 % Rec. Clause-clause subsumption calls : 1
% 0.10/0.43 % Non-unit clause-clause subsumptions : 1
% 0.10/0.43 % Unit Clause-clause subsumption calls : 2
% 0.10/0.43 % Rewrite failures with RHS unbound : 0
% 0.10/0.43 % BW rewrite match attempts : 1
% 0.10/0.43 % BW rewrite match successes : 1
% 0.10/0.43 % Condensation attempts : 0
% 0.10/0.43 % Condensation successes : 0
% 0.10/0.43 % Termbank termtop insertions : 548
% 0.10/0.43 % Search garbage collected termcells : 37
% 0.10/0.43
% 0.10/0.43 % -------------------------------------------------
% 0.10/0.43 % User time : 0.002 s
% 0.10/0.43 % System time : 0.002 s
% 0.10/0.43 % Total time : 0.004 s
% 0.10/0.43 % Maximum resident set size: 3636 pages
% 0.10/0.43
% 0.10/0.43 % -------------------------------------------------
% 0.10/0.43 % User time : 0.011 s
% 0.10/0.43 % System time : 0.009 s
% 0.10/0.43 % Total time : 0.020 s
% 0.10/0.43 % Maximum resident set size: 4864 pages
% 0.10/0.43 % E exiting
%------------------------------------------------------------------------------