%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ150^18 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:20:38 AM UTC 2026
% Result : Theorem 0.24s 0.34s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 8 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 109 ( 11 ~; 2 |; 7 &; 85 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 35 ( 18 ^; 13 !; 4 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mindex: $tType ).
thf(decl_sort2,type,
mworld: $tType ).
thf(decl_23,type,
mrel: mindex > mworld > mworld > $o ).
thf(decl_24,type,
'#c': mindex ).
thf(decl_25,type,
'#b': mindex ).
thf(decl_26,type,
'#a': mindex ).
thf(decl_27,type,
mactual: mworld ).
thf(decl_28,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_29,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(decl_34,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(decl_35,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(decl_41,type,
a0: mworld > $o ).
thf(decl_46,type,
esk1_0: mworld ).
thf(decl_47,type,
esk2_0: mworld ).
thf(decl_48,type,
esk3_0: mworld ).
thf(con,conjecture,
mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9a3PUMuyhL/E---3.1_704241.p',con) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9a3PUMuyhL/E---3.1_704241.p',mlocal_def) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [X2: mworld > $o,X3: mworld] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9a3PUMuyhL/E---3.1_704241.p',mnot_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X5: mindex,X1: mworld > $o,X3: mworld] :
! [X6: mworld] :
( ( mrel @ X5 @ X3 @ X6 )
=> ( X1 @ X6 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9a3PUMuyhL/E---3.1_704241.p',mbox_def) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [X5: mindex,X1: mworld > $o,X3: mworld] :
? [X6: mworld] :
( ( mrel @ X5 @ X3 @ X6 )
& ( X1 @ X6 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9a3PUMuyhL/E---3.1_704241.p',mdia_def) ).
thf('mrel_#c_universal',axiom,
! [X3: mworld,X6: mworld] : ( mrel @ '#c' @ X3 @ X6 ),
file('/export/starexec/sandbox2/tmp/tmp.9a3PUMuyhL/E---3.1_704241.p','mrel_#c_universal') ).
thf(axiom_a0,axiom,
mlocal @ a0,
file('/export/starexec/sandbox2/tmp/tmp.9a3PUMuyhL/E---3.1_704241.p',axiom_a0) ).
thf(c_0_7,negated_conjecture,
~ ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_8,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_9,plain,
( mnot
= ( ^ [Z0: mworld > $o,Z1: mworld] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot_def]) ).
thf(c_0_10,plain,
( mbox
= ( ^ [Z0: mindex,Z1: mworld > $o,Z2: mworld] :
! [X6: mworld] :
( ( mrel @ Z0 @ Z2 @ X6 )
=> ( Z1 @ X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_11,plain,
( mdia
= ( ^ [Z0: mindex,Z1: mworld > $o,Z2: mworld] :
? [X6: mworld] :
( ( mrel @ Z0 @ Z2 @ X6 )
& ( Z1 @ X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia_def]) ).
thf(c_0_12,negated_conjecture,
~ ! [X51: mworld] :
( ( mrel @ '#b' @ mactual @ X51 )
=> ~ ? [X50: mworld] :
( ( mrel @ '#a' @ X51 @ X50 )
& ? [X49: mworld] :
( ( mrel @ '#b' @ X50 @ X49 )
& ! [X48: mworld] :
( ( mrel @ '#c' @ X49 @ X48 )
=> ~ ( a0 @ X48 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),c_0_11])]) ).
thf(c_0_13,negated_conjecture,
! [X96: mworld] :
( ( mrel @ '#b' @ mactual @ esk1_0 )
& ( mrel @ '#a' @ esk1_0 @ esk2_0 )
& ( mrel @ '#b' @ esk2_0 @ esk3_0 )
& ( ~ ( mrel @ '#c' @ esk3_0 @ X96 )
| ~ ( a0 @ X96 ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
thf(c_0_14,plain,
! [X52: mworld,X53: mworld] : ( mrel @ '#c' @ X52 @ X53 ),
inference(variable_rename,[status(thm)],['mrel_#c_universal']) ).
thf(c_0_15,plain,
a0 @ mactual,
inference(apply_def,[status(thm)],[axiom_a0,c_0_8]) ).
thf(c_0_16,negated_conjecture,
! [X3: mworld] :
( ~ ( mrel @ '#c' @ esk3_0 @ X3 )
| ~ ( a0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,plain,
! [X3: mworld,X6: mworld] : ( mrel @ '#c' @ X3 @ X6 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_18,plain,
a0 @ mactual,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_19,negated_conjecture,
! [X3: mworld] :
~ ( a0 @ X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
thf(c_0_20,plain,
$false,
inference(sr,[status(thm)],[c_0_18,c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ150^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n006.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 13:27:24 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.30 Running higher-order theorem proving
% 0.24/0.32 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.9a3PUMuyhL/E---3.1_704241.p
% 0.24/0.34 % Version: 3.5.1-ho
% 0.24/0.34 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.24/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.34 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.24/0.34 % Starting post_as_ho3 with 300s (1) cores
% 0.24/0.34 % Starting post_as_ho11 with 300s (1) cores
% 0.24/0.34 % Starting full_lambda_8 with 300s (1) cores
% 0.24/0.34 % post_as_ho3 with pid 704255 completed with status 0
% 0.24/0.34 % Result found by post_as_ho3
% 0.24/0.34 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.24/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.34 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.24/0.34 % Starting post_as_ho3 with 300s (1) cores
% 0.24/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.34 % No SInE strategy applied
% 0.24/0.34 % Search class: HGHNS-FFMS00-SHSSMFNN
% 0.24/0.34 % partial match(2): HGHNF-FFSS00-SHSSMFNN
% 0.24/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.34 % SubtermCWHack with pid 704263 completed with status 0
% 0.24/0.34 % Result found by SubtermCWHack
% 0.24/0.34 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.24/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.34 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.24/0.34 % Starting post_as_ho3 with 300s (1) cores
% 0.24/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.34 % No SInE strategy applied
% 0.24/0.34 % Search class: HGHNS-FFMS00-SHSSMFNN
% 0.24/0.34 % partial match(2): HGHNF-FFSS00-SHSSMFNN
% 0.24/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.34 % Preprocessing time : 0.002 s
% 0.24/0.34
% 0.24/0.34 % Proof found!
% 0.24/0.34 % SZS status Theorem
% 0.24/0.34 % SZS output start CNFRefutation
% See solution above
% 0.24/0.34 % Parsed axioms : 45
% 0.24/0.34 % Removed by relevancy pruning/SinE : 0
% 0.24/0.34 % Initial clauses : 40
% 0.24/0.34 % Removed in clause preprocessing : 25
% 0.24/0.34 % Initial clauses in saturation : 15
% 0.24/0.34 % Processed clauses : 8
% 0.24/0.34 % ...of these trivial : 0
% 0.24/0.34 % ...subsumed : 0
% 0.24/0.34 % ...remaining for further processing : 8
% 0.24/0.34 % Other redundant clauses eliminated : 0
% 0.24/0.34 % Clauses deleted for lack of memory : 0
% 0.24/0.34 % Backward-subsumed : 0
% 0.24/0.34 % Backward-rewritten : 3
% 0.24/0.34 % Generated clauses : 1
% 0.24/0.34 % ...of the previous two non-redundant : 0
% 0.24/0.34 % ...aggressively subsumed : 0
% 0.24/0.34 % Contextual simplify-reflections : 0
% 0.24/0.34 % Paramodulations : 0
% 0.24/0.34 % Factorizations : 0
% 0.24/0.34 % NegExts : 0
% 0.24/0.34 % Equation resolutions : 0
% 0.24/0.34 % Disequality decompositions : 0
% 0.24/0.34 % Total rewrite steps : 4
% 0.24/0.34 % ...of those cached : 0
% 0.24/0.34 % Propositional unsat checks : 0
% 0.24/0.34 % Propositional check models : 0
% 0.24/0.34 % Propositional check unsatisfiable : 0
% 0.24/0.34 % Propositional clauses : 0
% 0.24/0.34 % Propositional clauses after purity: 0
% 0.24/0.34 % Propositional unsat core size : 0
% 0.24/0.34 % Propositional preprocessing time : 0.000
% 0.24/0.34 % Propositional encoding time : 0.000
% 0.24/0.34 % Propositional solver time : 0.000
% 0.24/0.34 % Success case prop preproc time : 0.000
% 0.24/0.34 % Success case prop encoding time : 0.000
% 0.24/0.34 % Success case prop solver time : 0.000
% 0.24/0.34 % Current number of processed clauses : 4
% 0.24/0.34 % Positive orientable unit clauses : 3
% 0.24/0.34 % Positive unorientable unit clauses: 0
% 0.24/0.34 % Negative unit clauses : 1
% 0.24/0.34 % Non-unit-clauses : 0
% 0.24/0.34 % Current number of unprocessed clauses: 7
% 0.24/0.34 % ...number of literals in the above : 56
% 0.24/0.34 % Current number of archived formulas : 0
% 0.24/0.34 % Current number of archived clauses : 4
% 0.24/0.34 % Clause-clause subsumption calls (NU) : 0
% 0.24/0.34 % Rec. Clause-clause subsumption calls : 0
% 0.24/0.34 % Non-unit clause-clause subsumptions : 0
% 0.24/0.34 % Unit Clause-clause subsumption calls : 0
% 0.24/0.34 % Rewrite failures with RHS unbound : 0
% 0.24/0.34 % BW rewrite match attempts : 3
% 0.24/0.34 % BW rewrite match successes : 3
% 0.24/0.34 % Condensation attempts : 0
% 0.24/0.34 % Condensation successes : 0
% 0.24/0.34 % Termbank termtop insertions : 4113
% 0.24/0.34 % Search garbage collected termcells : 1536
% 0.24/0.34
% 0.24/0.34 % -------------------------------------------------
% 0.24/0.34 % User time : 0.006 s
% 0.24/0.34 % System time : 0.004 s
% 0.24/0.34 % Total time : 0.010 s
% 0.24/0.34 % Maximum resident set size: 3920 pages
% 0.24/0.34
% 0.24/0.34 % -------------------------------------------------
% 0.24/0.34 % User time : 0.008 s
% 0.24/0.34 % System time : 0.008 s
% 0.24/0.34 % Total time : 0.017 s
% 0.24/0.34 % Maximum resident set size: 4864 pages
% 0.24/0.34 % E exiting
%------------------------------------------------------------------------------