%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NLP265^18 : 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 08:16:01 AM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 85 ( 6 ~; 2 |; 2 &; 70 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 22 ( 8 ^; 14 !; 0 ?; 22 :)
% 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,
'#i_alice': mindex ).
thf(decl_26,type,
'#b_alice': mindex ).
thf(decl_27,type,
'#b_bob': mindex ).
thf(decl_28,type,
mactual: mworld ).
thf(decl_29,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_35,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(decl_37,type,
portland: $i ).
thf(decl_38,type,
bigcity: $i > mworld > $o ).
thf(decl_43,type,
esk5_0: mworld ).
thf(decl_44,type,
esk6_0: mworld ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CT60A7ZEGO/E---3.1_606899.p',mlocal_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.CT60A7ZEGO/E---3.1_606899.p',mbox_def) ).
thf(con,conjecture,
mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CT60A7ZEGO/E---3.1_606899.p',con) ).
thf(axiom_2,axiom,
mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ),
file('/export/starexec/sandbox2/tmp/tmp.CT60A7ZEGO/E---3.1_606899.p',axiom_2) ).
thf('mrel_#b_alice_universal',axiom,
! [X3: mworld,X6: mworld] : ( mrel @ '#b_alice' @ X3 @ X6 ),
file('/export/starexec/sandbox2/tmp/tmp.CT60A7ZEGO/E---3.1_606899.p','mrel_#b_alice_universal') ).
thf(c_0_5,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_6,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_7,negated_conjecture,
~ ( mlocal @ ( mbox @ '#i_alice' @ ( mbox @ '#b_bob' @ ( bigcity @ portland ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_8,plain,
! [X25: mworld] :
( ( mrel @ '#b_alice' @ mactual @ X25 )
=> ( bigcity @ portland @ X25 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_2,c_0_5]),c_0_6]) ).
thf(c_0_9,negated_conjecture,
~ ! [X29: mworld] :
( ( mrel @ '#i_alice' @ mactual @ X29 )
=> ! [X28: mworld] :
( ( mrel @ '#b_bob' @ X29 @ X28 )
=> ( bigcity @ portland @ X28 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_7,c_0_5]),c_0_6]) ).
thf(c_0_10,plain,
! [X48: mworld] :
( ~ ( mrel @ '#b_alice' @ mactual @ X48 )
| ( bigcity @ portland @ X48 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
thf(c_0_11,plain,
! [X34: mworld,X35: mworld] : ( mrel @ '#b_alice' @ X34 @ X35 ),
inference(variable_rename,[status(thm)],['mrel_#b_alice_universal']) ).
thf(c_0_12,negated_conjecture,
( ( mrel @ '#i_alice' @ mactual @ esk5_0 )
& ( mrel @ '#b_bob' @ esk5_0 @ esk6_0 )
& ~ ( bigcity @ portland @ esk6_0 ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
thf(c_0_13,plain,
! [X3: mworld] :
( ( bigcity @ portland @ X3 )
| ~ ( mrel @ '#b_alice' @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,plain,
! [X3: mworld,X6: mworld] : ( mrel @ '#b_alice' @ X3 @ X6 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_15,negated_conjecture,
~ ( bigcity @ portland @ esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_16,plain,
! [X3: mworld] : ( bigcity @ portland @ X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
thf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP265^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n006.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 11:43:39 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.22 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.CT60A7ZEGO/E---3.1_606899.p
% 0.08/0.24 % Version: 3.5.1-ho
% 0.08/0.24 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.24 % Starting post_as_ho3 with 300s (1) cores
% 0.08/0.24 % Starting post_as_ho11 with 300s (1) cores
% 0.08/0.24 % Starting full_lambda_8 with 300s (1) cores
% 0.08/0.24 % post_as_ho3 with pid 606913 completed with status 0
% 0.08/0.24 % Result found by post_as_ho3
% 0.08/0.24 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.24 % Starting post_as_ho3 with 300s (1) cores
% 0.08/0.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.24 % No SInE strategy applied
% 0.08/0.24 % Search class: HGHNM-FFSF11-SHSSMFNN
% 0.08/0.24 % partial match(1): HGHNF-FFSF11-SHSSMFNN
% 0.08/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.24 % SubtermCWHack with pid 606918 completed with status 0
% 0.08/0.24 % Result found by SubtermCWHack
% 0.08/0.24 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.24 % Starting post_as_ho3 with 300s (1) cores
% 0.08/0.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.24 % No SInE strategy applied
% 0.08/0.24 % Search class: HGHNM-FFSF11-SHSSMFNN
% 0.08/0.24 % partial match(1): HGHNF-FFSF11-SHSSMFNN
% 0.08/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.24 % Preprocessing time : 0.001 s
% 0.08/0.24
% 0.08/0.24 % Proof found!
% 0.08/0.24 % SZS status Theorem
% 0.08/0.24 % SZS output start CNFRefutation
% See solution above
% 0.08/0.24 % Parsed axioms : 35
% 0.08/0.24 % Removed by relevancy pruning/SinE : 0
% 0.08/0.24 % Initial clauses : 33
% 0.08/0.24 % Removed in clause preprocessing : 18
% 0.08/0.24 % Initial clauses in saturation : 15
% 0.08/0.24 % Processed clauses : 8
% 0.08/0.24 % ...of these trivial : 0
% 0.08/0.24 % ...subsumed : 0
% 0.08/0.24 % ...remaining for further processing : 8
% 0.08/0.24 % Other redundant clauses eliminated : 0
% 0.08/0.24 % Clauses deleted for lack of memory : 0
% 0.08/0.24 % Backward-subsumed : 0
% 0.08/0.24 % Backward-rewritten : 3
% 0.08/0.24 % Generated clauses : 0
% 0.08/0.24 % ...of the previous two non-redundant : 0
% 0.08/0.24 % ...aggressively subsumed : 0
% 0.08/0.24 % Contextual simplify-reflections : 0
% 0.08/0.24 % Paramodulations : 0
% 0.08/0.24 % Factorizations : 0
% 0.08/0.24 % NegExts : 0
% 0.08/0.24 % Equation resolutions : 0
% 0.08/0.24 % Disequality decompositions : 0
% 0.08/0.24 % Total rewrite steps : 4
% 0.08/0.24 % ...of those cached : 0
% 0.08/0.24 % Propositional unsat checks : 0
% 0.08/0.24 % Propositional check models : 0
% 0.08/0.24 % Propositional check unsatisfiable : 0
% 0.08/0.24 % Propositional clauses : 0
% 0.08/0.24 % Propositional clauses after purity: 0
% 0.08/0.24 % Propositional unsat core size : 0
% 0.08/0.24 % Propositional preprocessing time : 0.000
% 0.08/0.24 % Propositional encoding time : 0.000
% 0.08/0.24 % Propositional solver time : 0.000
% 0.08/0.24 % Success case prop preproc time : 0.000
% 0.08/0.24 % Success case prop encoding time : 0.000
% 0.08/0.24 % Success case prop solver time : 0.000
% 0.08/0.24 % Current number of processed clauses : 5
% 0.08/0.24 % Positive orientable unit clauses : 5
% 0.08/0.24 % Positive unorientable unit clauses: 0
% 0.08/0.24 % Negative unit clauses : 0
% 0.08/0.24 % Non-unit-clauses : 0
% 0.08/0.24 % Current number of unprocessed clauses: 7
% 0.08/0.24 % ...number of literals in the above : 39
% 0.08/0.24 % Current number of archived formulas : 0
% 0.08/0.24 % Current number of archived clauses : 3
% 0.08/0.24 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.24 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.24 % Non-unit clause-clause subsumptions : 0
% 0.08/0.24 % Unit Clause-clause subsumption calls : 0
% 0.08/0.24 % Rewrite failures with RHS unbound : 0
% 0.08/0.24 % BW rewrite match attempts : 3
% 0.08/0.24 % BW rewrite match successes : 3
% 0.08/0.24 % Condensation attempts : 0
% 0.08/0.24 % Condensation successes : 0
% 0.08/0.24 % Termbank termtop insertions : 2321
% 0.08/0.24 % Search garbage collected termcells : 729
% 0.08/0.24
% 0.08/0.24 % -------------------------------------------------
% 0.08/0.24 % User time : 0.007 s
% 0.08/0.24 % System time : 0.000 s
% 0.08/0.24 % Total time : 0.007 s
% 0.08/0.24 % Maximum resident set size: 3656 pages
% 0.08/0.24
% 0.08/0.24 % -------------------------------------------------
% 0.08/0.24 % User time : 0.007 s
% 0.08/0.24 % System time : 0.006 s
% 0.08/0.24 % Total time : 0.013 s
% 0.08/0.24 % Maximum resident set size: 4864 pages
% 0.08/0.24 % E exiting
%------------------------------------------------------------------------------