%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ146^1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 : Wed Sep 30 08:20:37 AM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 8 ~; 1 |; 0 &; 26 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
earthling: $tType ).
thf(decl_sort2,type,
hobby: $tType ).
thf(decl_23,type,
peter: earthling ).
thf(decl_24,type,
mary: earthling ).
thf(decl_25,type,
beer_drinking: hobby ).
thf(decl_28,type,
has_hobby: earthling > hobby > $o ).
thf(decl_29,type,
peters_hobbies: hobby > $o ).
thf(decl_30,type,
marys_hobbies: hobby > $o ).
thf(peter_and_mary_have_different_hobbies,conjecture,
peters_hobbies != marys_hobbies,
file('/export/starexec/sandbox/tmp/tmp.sVossuakUi/E---3.1_582854.p',peter_and_mary_have_different_hobbies) ).
thf(peters_hobbies_001,axiom,
( peters_hobbies
= ( has_hobby @ peter ) ),
file('/export/starexec/sandbox/tmp/tmp.sVossuakUi/E---3.1_582854.p',peters_hobbies_001) ).
thf(marys_hobbies_002,axiom,
( marys_hobbies
= ( has_hobby @ mary ) ),
file('/export/starexec/sandbox/tmp/tmp.sVossuakUi/E---3.1_582854.p',marys_hobbies_002) ).
thf(mary_does_not_do_beer_drinking,axiom,
~ ( marys_hobbies @ beer_drinking ),
file('/export/starexec/sandbox/tmp/tmp.sVossuakUi/E---3.1_582854.p',mary_does_not_do_beer_drinking) ).
thf(peter_does_beer_drinking,axiom,
peters_hobbies @ beer_drinking,
file('/export/starexec/sandbox/tmp/tmp.sVossuakUi/E---3.1_582854.p',peter_does_beer_drinking) ).
thf(c_0_5,negated_conjecture,
~ ( ( peters_hobbies != marys_hobbies ) ),
inference(assume_negation,[status(cth)],[peter_and_mary_have_different_hobbies]) ).
thf(c_0_6,negated_conjecture,
( ( has_hobby @ peter )
= ( has_hobby @ mary ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5,peters_hobbies_001]),marys_hobbies_002])]) ).
thf(c_0_7,plain,
~ ( has_hobby @ mary @ beer_drinking ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[mary_does_not_do_beer_drinking,marys_hobbies_002])]) ).
thf(c_0_8,negated_conjecture,
( ( has_hobby @ peter )
= ( has_hobby @ mary ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
~ ( has_hobby @ mary @ beer_drinking ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
thf(c_0_10,negated_conjecture,
! [X1: hobby] :
( ( has_hobby @ mary @ X1 )
<=> ( has_hobby @ peter @ X1 ) ),
inference(arg_cong,[status(thm)],[c_0_8]) ).
thf(c_0_11,plain,
has_hobby @ peter @ beer_drinking,
inference(apply_def,[status(thm)],[peter_does_beer_drinking,peters_hobbies_001]) ).
thf(c_0_12,plain,
~ ( has_hobby @ mary @ beer_drinking ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,negated_conjecture,
! [X1: hobby] :
( ( has_hobby @ mary @ X1 )
| ~ ( has_hobby @ peter @ X1 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_10]) ).
thf(c_0_14,plain,
has_hobby @ peter @ beer_drinking,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ146^1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n026.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 13:30:12 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.sVossuakUi/E---3.1_582854.p
% 0.07/0.26 % Version: 3.5.1-ho
% 0.07/0.26 % Preprocessing class: HSSSSMSSSLSNSSN.
% 0.07/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.26 % Starting ehoh_best3_fo with 1500s (5) cores
% 0.07/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.07/0.26 % Starting post_as_ho4 with 300s (1) cores
% 0.07/0.26 % Starting ehoh_best6_lambda with 300s (1) cores
% 0.07/0.26 % post_as_ho12 with pid 582868 completed with status 0
% 0.07/0.26 % Result found by post_as_ho12
% 0.07/0.26 % Preprocessing class: HSSSSMSSSLSNSSN.
% 0.07/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.26 % Starting ehoh_best3_fo with 1500s (5) cores
% 0.07/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.07/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.26 % No SInE strategy applied
% 0.07/0.26 % Search class: HUUSF-FFSS00-SSSFMFNN
% 0.07/0.26 % partial match(2): HUUSF-FFSF00-SSSFFFNN
% 0.07/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.07/0.26 % SubtermCWHack with pid 582872 completed with status 0
% 0.07/0.26 % Result found by SubtermCWHack
% 0.07/0.26 % Preprocessing class: HSSSSMSSSLSNSSN.
% 0.07/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.26 % Starting ehoh_best3_fo with 1500s (5) cores
% 0.07/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.07/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.26 % No SInE strategy applied
% 0.07/0.26 % Search class: HUUSF-FFSS00-SSSFMFNN
% 0.07/0.26 % partial match(2): HUUSF-FFSF00-SSSFFFNN
% 0.07/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.07/0.26 % Preprocessing time : 0.001 s
% 0.07/0.26
% 0.07/0.26 % Proof found!
% 0.07/0.26 % SZS status Theorem
% 0.07/0.26 % SZS output start CNFRefutation
% See solution above
% 0.07/0.26 % Parsed axioms : 19
% 0.07/0.26 % Removed by relevancy pruning/SinE : 0
% 0.07/0.26 % Initial clauses : 19
% 0.07/0.26 % Removed in clause preprocessing : 10
% 0.07/0.26 % Initial clauses in saturation : 9
% 0.07/0.26 % Processed clauses : 11
% 0.07/0.26 % ...of these trivial : 0
% 0.07/0.26 % ...subsumed : 0
% 0.07/0.26 % ...remaining for further processing : 11
% 0.07/0.26 % Other redundant clauses eliminated : 0
% 0.07/0.26 % Clauses deleted for lack of memory : 0
% 0.07/0.26 % Backward-subsumed : 0
% 0.07/0.26 % Backward-rewritten : 0
% 0.07/0.26 % Generated clauses : 4
% 0.07/0.26 % ...of the previous two non-redundant : 3
% 0.07/0.26 % ...aggressively subsumed : 0
% 0.07/0.26 % Contextual simplify-reflections : 0
% 0.07/0.26 % Paramodulations : 1
% 0.07/0.26 % Factorizations : 0
% 0.07/0.26 % NegExts : 0
% 0.07/0.26 % Equation resolutions : 0
% 0.07/0.26 % Disequality decompositions : 0
% 0.07/0.26 % Total rewrite steps : 1
% 0.07/0.26 % ...of those cached : 0
% 0.07/0.26 % Propositional unsat checks : 0
% 0.07/0.26 % Propositional check models : 0
% 0.07/0.26 % Propositional check unsatisfiable : 0
% 0.07/0.26 % Propositional clauses : 0
% 0.07/0.26 % Propositional clauses after purity: 0
% 0.07/0.26 % Propositional unsat core size : 0
% 0.07/0.26 % Propositional preprocessing time : 0.000
% 0.07/0.26 % Propositional encoding time : 0.000
% 0.07/0.26 % Propositional solver time : 0.000
% 0.07/0.26 % Success case prop preproc time : 0.000
% 0.07/0.26 % Success case prop encoding time : 0.000
% 0.07/0.26 % Success case prop solver time : 0.000
% 0.07/0.26 % Current number of processed clauses : 10
% 0.07/0.26 % Positive orientable unit clauses : 4
% 0.07/0.26 % Positive unorientable unit clauses: 0
% 0.07/0.26 % Negative unit clauses : 5
% 0.07/0.26 % Non-unit-clauses : 1
% 0.07/0.26 % Current number of unprocessed clauses: 1
% 0.07/0.26 % ...number of literals in the above : 2
% 0.07/0.26 % Current number of archived formulas : 0
% 0.07/0.26 % Current number of archived clauses : 1
% 0.07/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.07/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.07/0.26 % Non-unit clause-clause subsumptions : 0
% 0.07/0.26 % Unit Clause-clause subsumption calls : 0
% 0.07/0.26 % Rewrite failures with RHS unbound : 0
% 0.07/0.26 % BW rewrite match attempts : 0
% 0.07/0.26 % BW rewrite match successes : 0
% 0.07/0.26 % Condensation attempts : 0
% 0.07/0.26 % Condensation successes : 0
% 0.07/0.26 % Termbank termtop insertions : 494
% 0.07/0.26 % Search garbage collected termcells : 29
% 0.07/0.26
% 0.07/0.26 % -------------------------------------------------
% 0.07/0.26 % User time : 0.004 s
% 0.07/0.26 % System time : 0.001 s
% 0.07/0.26 % Total time : 0.005 s
% 0.07/0.26 % Maximum resident set size: 3628 pages
% 0.07/0.26
% 0.07/0.26 % -------------------------------------------------
% 0.07/0.26 % User time : 0.006 s
% 0.07/0.26 % System time : 0.005 s
% 0.07/0.26 % Total time : 0.011 s
% 0.07/0.26 % Maximum resident set size: 4864 pages
% 0.07/0.26 % E exiting
%------------------------------------------------------------------------------