%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ140^1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 0.23s 0.27s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 52 ( 6 ~; 2 |; 2 &; 42 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 2 ^; 16 !; 4 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
beverage: $tType ).
thf(decl_sort2,type,
syrup: $tType ).
thf(decl_23,type,
coffee: beverage ).
thf(decl_24,type,
heat: beverage > beverage ).
thf(decl_25,type,
hot: beverage > $o ).
thf(decl_26,type,
mix: beverage > syrup > beverage ).
thf(decl_27,type,
hot_mixture: beverage > syrup > beverage ).
thf(decl_29,type,
esk1_1: ( beverage > syrup > beverage ) > syrup ).
thf(hot_coffee,conjecture,
? [X3: beverage > syrup > beverage] :
! [X2: syrup] :
? [X1: beverage] :
( ( ( X3 @ coffee @ X2 )
= X1 )
& ( hot @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.TmJv4zLXYL/E---3.1_340337.p',hot_coffee) ).
thf(hot_mixture_definition,axiom,
( hot_mixture
= ( ^ [X1: beverage,X2: syrup] : ( heat @ ( mix @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TmJv4zLXYL/E---3.1_340337.p',hot_mixture_definition) ).
thf(its_hot,axiom,
! [X1: beverage] : ( hot @ ( heat @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.TmJv4zLXYL/E---3.1_340337.p',its_hot) ).
thf(c_0_3,negated_conjecture,
~ ? [X3: beverage > syrup > beverage] :
! [X2: syrup] :
? [X1: beverage] :
( ( ( X3 @ coffee @ X2 )
= X1 )
& ( hot @ X1 ) ),
inference(assume_negation,[status(cth)],[hot_coffee]) ).
thf(c_0_4,negated_conjecture,
! [X17: beverage > syrup > beverage,X19: beverage] :
( ( ( X17 @ coffee @ ( esk1_1 @ X17 ) )
!= X19 )
| ~ ( hot @ X19 ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
thf(c_0_5,plain,
! [X10: beverage,X11: syrup] :
( ( hot_mixture @ X10 @ X11 )
= ( heat @ ( mix @ X10 @ X11 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[hot_mixture_definition])]) ).
thf(c_0_6,negated_conjecture,
! [X3: beverage > syrup > beverage,X1: beverage] :
( ( ( X3 @ coffee @ ( esk1_1 @ X3 ) )
!= X1 )
| ~ ( hot @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X15: beverage,X16: syrup] :
( ( hot_mixture @ X15 @ X16 )
= ( heat @ ( mix @ X15 @ X16 ) ) ),
inference(variable_rename,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X12: beverage] : ( hot @ ( heat @ X12 ) ),
inference(variable_rename,[status(thm)],[its_hot]) ).
thf(c_0_9,negated_conjecture,
! [X3: beverage > syrup > beverage] :
~ ( hot @ ( X3 @ coffee @ ( esk1_1 @ X3 ) ) ),
inference(er,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X1: beverage,X2: syrup] :
( ( hot_mixture @ X1 @ X2 )
= ( heat @ ( mix @ X1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X1: beverage] : ( hot @ ( heat @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ140^1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:32:04 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.TmJv4zLXYL/E---3.1_340337.p
% 0.23/0.27 % Version: 3.5.1-ho
% 0.23/0.27 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.23/0.27 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting post_as_ho12 with 300s (1) cores
% 0.23/0.27 % Starting new_bool_9 with 300s (1) cores
% 0.23/0.27 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.27 % Starting post_as_ho4 with 300s (1) cores
% 0.23/0.27 % Starting post_as_ho2 with 300s (1) cores
% 0.23/0.27 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.23/0.27 % Starting full_lambda_10 with 300s (1) cores
% 0.23/0.27 % Starting new_ho_8 with 300s (1) cores
% 0.23/0.27 % post_as_ho1 with pid 340352 completed with status 0
% 0.23/0.27 % Result found by post_as_ho1
% 0.23/0.27 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.23/0.27 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting post_as_ho12 with 300s (1) cores
% 0.23/0.27 % Starting new_bool_9 with 300s (1) cores
% 0.23/0.27 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.27 % No SInE strategy applied
% 0.23/0.27 % Search class: HUHSS-FFSF21-SSSFFSNN
% 0.23/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.27 % SubtermCWHack with pid 340358 completed with status 0
% 0.23/0.27 % Result found by SubtermCWHack
% 0.23/0.27 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.23/0.27 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting post_as_ho12 with 300s (1) cores
% 0.23/0.27 % Starting new_bool_9 with 300s (1) cores
% 0.23/0.27 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.27 % No SInE strategy applied
% 0.23/0.27 % Search class: HUHSS-FFSF21-SSSFFSNN
% 0.23/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.27 % Preprocessing time : 0.001 s
% 0.23/0.27
% 0.23/0.27 % Proof found!
% 0.23/0.27 % SZS status Theorem
% 0.23/0.27 % SZS output start CNFRefutation
% See solution above
% 0.23/0.27 % Parsed axioms : 12
% 0.23/0.27 % Removed by relevancy pruning/SinE : 0
% 0.23/0.27 % Initial clauses : 12
% 0.23/0.27 % Removed in clause preprocessing : 8
% 0.23/0.27 % Initial clauses in saturation : 4
% 0.23/0.27 % Processed clauses : 5
% 0.23/0.27 % ...of these trivial : 0
% 0.23/0.27 % ...subsumed : 0
% 0.23/0.27 % ...remaining for further processing : 5
% 0.23/0.27 % Other redundant clauses eliminated : 1
% 0.23/0.27 % Clauses deleted for lack of memory : 0
% 0.23/0.27 % Backward-subsumed : 0
% 0.23/0.27 % Backward-rewritten : 0
% 0.23/0.27 % Generated clauses : 3
% 0.23/0.27 % ...of the previous two non-redundant : 2
% 0.23/0.27 % ...aggressively subsumed : 0
% 0.23/0.27 % Contextual simplify-reflections : 0
% 0.23/0.27 % Paramodulations : 2
% 0.23/0.27 % Factorizations : 0
% 0.23/0.27 % NegExts : 0
% 0.23/0.27 % Equation resolutions : 1
% 0.23/0.27 % Disequality decompositions : 0
% 0.23/0.27 % Total rewrite steps : 1
% 0.23/0.27 % ...of those cached : 0
% 0.23/0.27 % Propositional unsat checks : 0
% 0.23/0.27 % Propositional check models : 0
% 0.23/0.27 % Propositional check unsatisfiable : 0
% 0.23/0.27 % Propositional clauses : 0
% 0.23/0.27 % Propositional clauses after purity: 0
% 0.23/0.27 % Propositional unsat core size : 0
% 0.23/0.27 % Propositional preprocessing time : 0.000
% 0.23/0.27 % Propositional encoding time : 0.000
% 0.23/0.27 % Propositional solver time : 0.000
% 0.23/0.27 % Success case prop preproc time : 0.000
% 0.23/0.27 % Success case prop encoding time : 0.000
% 0.23/0.27 % Success case prop solver time : 0.000
% 0.23/0.27 % Current number of processed clauses : 4
% 0.23/0.27 % Positive orientable unit clauses : 3
% 0.23/0.27 % Positive unorientable unit clauses: 0
% 0.23/0.27 % Negative unit clauses : 1
% 0.23/0.27 % Non-unit-clauses : 0
% 0.23/0.27 % Current number of unprocessed clauses: 0
% 0.23/0.27 % ...number of literals in the above : 0
% 0.23/0.27 % Current number of archived formulas : 0
% 0.23/0.27 % Current number of archived clauses : 0
% 0.23/0.27 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.27 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.27 % Non-unit clause-clause subsumptions : 0
% 0.23/0.27 % Unit Clause-clause subsumption calls : 0
% 0.23/0.27 % Rewrite failures with RHS unbound : 0
% 0.23/0.27 % BW rewrite match attempts : 0
% 0.23/0.27 % BW rewrite match successes : 0
% 0.23/0.27 % Condensation attempts : 0
% 0.23/0.27 % Condensation successes : 0
% 0.23/0.27 % Termbank termtop insertions : 383
% 0.23/0.27 % Search garbage collected termcells : 55
% 0.23/0.27
% 0.23/0.27 % -------------------------------------------------
% 0.23/0.27 % User time : 0.002 s
% 0.23/0.27 % System time : 0.001 s
% 0.23/0.27 % Total time : 0.003 s
% 0.23/0.27 % Maximum resident set size: 3584 pages
% 0.23/0.27
% 0.23/0.27 % -------------------------------------------------
% 0.23/0.27 % User time : 0.004 s
% 0.23/0.27 % System time : 0.006 s
% 0.23/0.27 % Total time : 0.010 s
% 0.23/0.27 % Maximum resident set size: 4864 pages
% 0.23/0.27 % E exiting
%------------------------------------------------------------------------------