%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NLP265^17 : 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 : n007.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 : ContradictoryAxioms 0.26s 0.35s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 6 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 106 ( 12 ~; 6 |; 0 &; 83 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 30 ( 12 ^; 18 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mindex: $tType ).
thf(decl_sort2,type,
mworld: $tType ).
thf(decl_23,type,
mrel: mindex > mworld > mworld > $o ).
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_30,type,
mnot: ( mworld > $o ) > mworld > $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(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.b1Bx7fzfv7/E---3.1_3252692.p',mlocal_def) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [X2: mworld > $o,X3: mworld] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.b1Bx7fzfv7/E---3.1_3252692.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.b1Bx7fzfv7/E---3.1_3252692.p',mbox_def) ).
thf(axiom_3,axiom,
mlocal @ ( mbox @ '#b_alice' @ ( mbox @ '#b_bob' @ ( mnot @ ( bigcity @ portland ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.b1Bx7fzfv7/E---3.1_3252692.p',axiom_3) ).
thf(axiom_2,axiom,
mlocal @ ( mbox @ '#b_alice' @ ( bigcity @ portland ) ),
file('/export/starexec/sandbox2/tmp/tmp.b1Bx7fzfv7/E---3.1_3252692.p',axiom_2) ).
thf('mrel_#b_bob_reflexive',axiom,
! [X3: mworld] : ( mrel @ '#b_bob' @ X3 @ X3 ),
file('/export/starexec/sandbox2/tmp/tmp.b1Bx7fzfv7/E---3.1_3252692.p','mrel_#b_bob_reflexive') ).
thf('mrel_#b_alice_reflexive',axiom,
! [X3: mworld] : ( mrel @ '#b_alice' @ X3 @ X3 ),
file('/export/starexec/sandbox2/tmp/tmp.b1Bx7fzfv7/E---3.1_3252692.p','mrel_#b_alice_reflexive') ).
thf(c_0_7,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_8,plain,
( mnot
= ( ^ [Z0: mworld > $o,Z1: mworld] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot_def]) ).
thf(c_0_9,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_10,plain,
! [X36: mworld] :
( ( mrel @ '#b_alice' @ mactual @ X36 )
=> ! [X35: mworld] :
( ( mrel @ '#b_bob' @ X36 @ X35 )
=> ~ ( bigcity @ portland @ X35 ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_3,c_0_7]),c_0_8]),c_0_9])]) ).
thf(c_0_11,plain,
! [X34: mworld] :
( ( mrel @ '#b_alice' @ mactual @ X34 )
=> ( bigcity @ portland @ X34 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_2,c_0_7]),c_0_9]) ).
thf(c_0_12,plain,
! [X66: mworld,X67: mworld] :
( ~ ( mrel @ '#b_alice' @ mactual @ X66 )
| ~ ( mrel @ '#b_bob' @ X66 @ X67 )
| ~ ( bigcity @ portland @ X67 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
thf(c_0_13,plain,
! [X51: mworld] : ( mrel @ '#b_bob' @ X51 @ X51 ),
inference(variable_rename,[status(thm)],['mrel_#b_bob_reflexive']) ).
thf(c_0_14,plain,
! [X65: mworld] :
( ~ ( mrel @ '#b_alice' @ mactual @ X65 )
| ( bigcity @ portland @ X65 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
thf(c_0_15,plain,
! [X3: mworld,X6: mworld] :
( ~ ( mrel @ '#b_alice' @ mactual @ X3 )
| ~ ( mrel @ '#b_bob' @ X3 @ X6 )
| ~ ( bigcity @ portland @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_16,plain,
! [X3: mworld] : ( mrel @ '#b_bob' @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,plain,
! [X3: mworld] :
( ( bigcity @ portland @ X3 )
| ~ ( mrel @ '#b_alice' @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_18,plain,
! [X47: mworld] : ( mrel @ '#b_alice' @ X47 @ X47 ),
inference(variable_rename,[status(thm)],['mrel_#b_alice_reflexive']) ).
thf(c_0_19,plain,
! [X3: mworld] :
~ ( mrel @ '#b_alice' @ mactual @ X3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
thf(c_0_20,plain,
! [X3: mworld] : ( mrel @ '#b_alice' @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_21,plain,
$false,
inference(spm,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NLP265^17 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 % Computer : n007.cluster.edu
% 0.09/0.25 % Model : x86_64 x86_64
% 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25 % Memory : 8046.5625MB
% 0.09/0.25 % OS : Linux 6.8.0-71-generic
% 0.09/0.25 % CPULimit : 300
% 0.09/0.25 % WCLimit : 300
% 0.09/0.25 % DateTime : Tue Sep 29 11:41:10 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.25 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running higher-order theorem proving
% 0.26/0.32 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.b1Bx7fzfv7/E---3.1_3252692.p
% 0.26/0.35 % Version: 3.5.1-ho
% 0.26/0.35 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.26/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.35 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.26/0.35 % Starting post_as_ho3 with 300s (1) cores
% 0.26/0.35 % Starting post_as_ho11 with 300s (1) cores
% 0.26/0.35 % Starting full_lambda_8 with 300s (1) cores
% 0.26/0.35 % post_as_ho3 with pid 3252709 completed with status 0
% 0.26/0.35 % Result found by post_as_ho3
% 0.26/0.35 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.26/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.35 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.26/0.35 % Starting post_as_ho3 with 300s (1) cores
% 0.26/0.35 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.35 % No SInE strategy applied
% 0.26/0.35 % Search class: HGHNM-FFMF11-SHSSMFNN
% 0.26/0.35 % partial match(1): HGHNF-FFMF11-SHSSMFNN
% 0.26/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.35 % SubtermCWHack with pid 3252712 completed with status 0
% 0.26/0.35 % Result found by SubtermCWHack
% 0.26/0.35 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.26/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.35 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.26/0.35 % Starting post_as_ho3 with 300s (1) cores
% 0.26/0.35 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.35 % No SInE strategy applied
% 0.26/0.35 % Search class: HGHNM-FFMF11-SHSSMFNN
% 0.26/0.35 % partial match(1): HGHNF-FFMF11-SHSSMFNN
% 0.26/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.35 % Preprocessing time : 0.001 s
% 0.26/0.35
% 0.26/0.35 % Proof found!
% 0.26/0.35 % SZS status ContradictoryAxioms
% 0.26/0.35 % SZS output start CNFRefutation
% See solution above
% 0.26/0.35 % Parsed axioms : 39
% 0.26/0.35 % Removed by relevancy pruning/SinE : 0
% 0.26/0.35 % Initial clauses : 37
% 0.26/0.35 % Removed in clause preprocessing : 18
% 0.26/0.35 % Initial clauses in saturation : 19
% 0.26/0.35 % Processed clauses : 13
% 0.26/0.35 % ...of these trivial : 0
% 0.26/0.35 % ...subsumed : 1
% 0.26/0.35 % ...remaining for further processing : 12
% 0.26/0.35 % Other redundant clauses eliminated : 0
% 0.26/0.35 % Clauses deleted for lack of memory : 0
% 0.26/0.35 % Backward-subsumed : 3
% 0.26/0.35 % Backward-rewritten : 0
% 0.26/0.35 % Generated clauses : 6
% 0.26/0.35 % ...of the previous two non-redundant : 5
% 0.26/0.35 % ...aggressively subsumed : 0
% 0.26/0.35 % Contextual simplify-reflections : 1
% 0.26/0.35 % Paramodulations : 6
% 0.26/0.35 % Factorizations : 0
% 0.26/0.35 % NegExts : 0
% 0.26/0.35 % Equation resolutions : 0
% 0.26/0.35 % Disequality decompositions : 0
% 0.26/0.35 % Total rewrite steps : 0
% 0.26/0.35 % ...of those cached : 0
% 0.26/0.35 % Propositional unsat checks : 0
% 0.26/0.35 % Propositional check models : 0
% 0.26/0.35 % Propositional check unsatisfiable : 0
% 0.26/0.35 % Propositional clauses : 0
% 0.26/0.35 % Propositional clauses after purity: 0
% 0.26/0.35 % Propositional unsat core size : 0
% 0.26/0.35 % Propositional preprocessing time : 0.000
% 0.26/0.35 % Propositional encoding time : 0.000
% 0.26/0.35 % Propositional solver time : 0.000
% 0.26/0.35 % Success case prop preproc time : 0.000
% 0.26/0.35 % Success case prop encoding time : 0.000
% 0.26/0.35 % Success case prop solver time : 0.000
% 0.26/0.35 % Current number of processed clauses : 9
% 0.26/0.35 % Positive orientable unit clauses : 6
% 0.26/0.35 % Positive unorientable unit clauses: 0
% 0.26/0.35 % Negative unit clauses : 2
% 0.26/0.35 % Non-unit-clauses : 1
% 0.26/0.35 % Current number of unprocessed clauses: 11
% 0.26/0.35 % ...number of literals in the above : 49
% 0.26/0.35 % Current number of archived formulas : 0
% 0.26/0.35 % Current number of archived clauses : 3
% 0.26/0.35 % Clause-clause subsumption calls (NU) : 2
% 0.26/0.35 % Rec. Clause-clause subsumption calls : 2
% 0.26/0.35 % Non-unit clause-clause subsumptions : 1
% 0.26/0.35 % Unit Clause-clause subsumption calls : 3
% 0.26/0.35 % Rewrite failures with RHS unbound : 0
% 0.26/0.35 % BW rewrite match attempts : 2
% 0.26/0.35 % BW rewrite match successes : 0
% 0.26/0.35 % Condensation attempts : 0
% 0.26/0.35 % Condensation successes : 0
% 0.26/0.35 % Termbank termtop insertions : 2893
% 0.26/0.35 % Search garbage collected termcells : 853
% 0.26/0.35
% 0.26/0.35 % -------------------------------------------------
% 0.26/0.35 % User time : 0.005 s
% 0.26/0.35 % System time : 0.003 s
% 0.26/0.35 % Total time : 0.007 s
% 0.26/0.35 % Maximum resident set size: 3608 pages
% 0.26/0.35
% 0.26/0.35 % -------------------------------------------------
% 0.26/0.35 % User time : 0.006 s
% 0.26/0.35 % System time : 0.009 s
% 0.26/0.35 % Total time : 0.014 s
% 0.26/0.35 % Maximum resident set size: 4608 pages
% 0.26/0.35 % E exiting
%------------------------------------------------------------------------------