%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO886^6 : 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 : n010.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 08:44:55 AM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 8 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 75 ( 6 ~; 2 |; 2 &; 58 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 32 ( 20 ^; 12 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_23,type,
mrel: mworld > mworld > $o ).
thf(decl_24,type,
mactual: mworld ).
thf(decl_25,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_29,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_31,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(decl_33,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(decl_35,type,
f: $i > mworld > $o ).
thf(decl_37,type,
esk2_0: mworld ).
thf(decl_38,type,
esk3_0: $i ).
thf(con,conjecture,
( mlocal
@ ( mimplies
@ ( mforall_di
@ ^ [X7: $i] : ( mbox @ ( f @ X7 ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [X7: $i] : ( f @ X7 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wITUkPzW8l/E---3.1_3170724.p',con) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wITUkPzW8l/E---3.1_3170724.p',mlocal_def) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wITUkPzW8l/E---3.1_3170724.p',mimplies_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wITUkPzW8l/E---3.1_3170724.p',mbox_def) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [X6: $i > mworld > $o,X3: mworld] :
! [X7: $i] : ( X6 @ X7 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wITUkPzW8l/E---3.1_3170724.p',mforall_di_def) ).
thf(c_0_5,negated_conjecture,
~ ( mlocal
@ ( mimplies
@ ( mforall_di
@ ^ [X7: $i] : ( mbox @ ( f @ X7 ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [X7: $i] : ( f @ X7 ) ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_6,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_7,plain,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_8,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_9,plain,
( mforall_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
! [X7: $i] : ( Z0 @ X7 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mforall_di_def]) ).
thf(c_0_10,negated_conjecture,
~ ( ! [X12: $i,X11: mworld] :
( ( mrel @ mactual @ X11 )
=> ( f @ X12 @ X11 ) )
=> ! [X14: mworld] :
( ( mrel @ mactual @ X14 )
=> ! [X13: $i] : ( f @ X13 @ X14 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5]),c_0_6]),c_0_7]),c_0_8]),c_0_9]) ).
thf(c_0_11,negated_conjecture,
! [X17: $i,X18: mworld] :
( ( ~ ( mrel @ mactual @ X18 )
| ( f @ X17 @ X18 ) )
& ( mrel @ mactual @ esk2_0 )
& ~ ( f @ esk3_0 @ esk2_0 ) ),
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_10])])])])]) ).
thf(c_0_12,negated_conjecture,
~ ( f @ esk3_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_13,negated_conjecture,
! [X7: $i,X3: mworld] :
( ( f @ X7 @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_14,negated_conjecture,
mrel @ mactual @ esk2_0,
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
% 0.00/0.03 % Problem : SYO886^6 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:25:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 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.wITUkPzW8l/E---3.1_3170724.p
% 0.21/0.27 % Version: 3.5.1-ho
% 0.21/0.27 % Preprocessing class: HSSSSMSSMLMNHSN.
% 0.21/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.27 % Starting sh5l with 300s (1) cores
% 0.21/0.27 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.27 % Starting new_bool_2 with 300s (1) cores
% 0.21/0.27 % new_ho_10 with pid 3170737 completed with status 0
% 0.21/0.27 % Result found by new_ho_10
% 0.21/0.27 % Preprocessing class: HSSSSMSSMLMNHSN.
% 0.21/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.27 % No SInE strategy applied
% 0.21/0.27 % Search class: HHUNF-FFSF11-SHSSMFNN
% 0.21/0.27 % partial match(1): HHHNF-FFSF11-SHSSMFNN
% 0.21/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.27 % Starting new_ho_10 with 151s (1) cores
% 0.21/0.27 % Starting lpo1_def_fix with 136s (1) cores
% 0.21/0.27 % Starting lpo1_lambda_fix with 136s (1) cores
% 0.21/0.27 % Starting new_ho_7 with 136s (1) cores
% 0.21/0.27 % SubtermCWHack with pid 3170741 completed with status 0
% 0.21/0.27 % Result found by SubtermCWHack
% 0.21/0.27 % Preprocessing class: HSSSSMSSMLMNHSN.
% 0.21/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.27 % No SInE strategy applied
% 0.21/0.27 % Search class: HHUNF-FFSF11-SHSSMFNN
% 0.21/0.27 % partial match(1): HHHNF-FFSF11-SHSSMFNN
% 0.21/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.27 % Preprocessing time : 0.001 s
% 0.21/0.27
% 0.21/0.27 % Proof found!
% 0.21/0.27 % SZS status Theorem
% 0.21/0.27 % SZS output start CNFRefutation
% See solution above
% 0.21/0.27 % Parsed axioms : 26
% 0.21/0.27 % Removed by relevancy pruning/SinE : 0
% 0.21/0.27 % Initial clauses : 18
% 0.21/0.27 % Removed in clause preprocessing : 14
% 0.21/0.27 % Initial clauses in saturation : 4
% 0.21/0.27 % Processed clauses : 4
% 0.21/0.27 % ...of these trivial : 0
% 0.21/0.27 % ...subsumed : 0
% 0.21/0.27 % ...remaining for further processing : 4
% 0.21/0.27 % Other redundant clauses eliminated : 0
% 0.21/0.27 % Clauses deleted for lack of memory : 0
% 0.21/0.27 % Backward-subsumed : 0
% 0.21/0.27 % Backward-rewritten : 0
% 0.21/0.27 % Generated clauses : 1
% 0.21/0.27 % ...of the previous two non-redundant : 0
% 0.21/0.27 % ...aggressively subsumed : 0
% 0.21/0.27 % Contextual simplify-reflections : 0
% 0.21/0.27 % Paramodulations : 1
% 0.21/0.27 % Factorizations : 0
% 0.21/0.27 % NegExts : 0
% 0.21/0.27 % Equation resolutions : 0
% 0.21/0.27 % Disequality decompositions : 0
% 0.21/0.27 % Total rewrite steps : 1
% 0.21/0.27 % ...of those cached : 0
% 0.21/0.27 % Propositional unsat checks : 0
% 0.21/0.27 % Propositional check models : 0
% 0.21/0.27 % Propositional check unsatisfiable : 0
% 0.21/0.27 % Propositional clauses : 0
% 0.21/0.27 % Propositional clauses after purity: 0
% 0.21/0.27 % Propositional unsat core size : 0
% 0.21/0.27 % Propositional preprocessing time : 0.000
% 0.21/0.27 % Propositional encoding time : 0.000
% 0.21/0.27 % Propositional solver time : 0.000
% 0.21/0.27 % Success case prop preproc time : 0.000
% 0.21/0.27 % Success case prop encoding time : 0.000
% 0.21/0.27 % Success case prop solver time : 0.000
% 0.21/0.27 % Current number of processed clauses : 4
% 0.21/0.27 % Positive orientable unit clauses : 2
% 0.21/0.27 % Positive unorientable unit clauses: 0
% 0.21/0.27 % Negative unit clauses : 1
% 0.21/0.27 % Non-unit-clauses : 1
% 0.21/0.27 % Current number of unprocessed clauses: 0
% 0.21/0.27 % ...number of literals in the above : 0
% 0.21/0.27 % Current number of archived formulas : 0
% 0.21/0.27 % Current number of archived clauses : 0
% 0.21/0.27 % Clause-clause subsumption calls (NU) : 0
% 0.21/0.27 % Rec. Clause-clause subsumption calls : 0
% 0.21/0.27 % Non-unit clause-clause subsumptions : 0
% 0.21/0.27 % Unit Clause-clause subsumption calls : 0
% 0.21/0.27 % Rewrite failures with RHS unbound : 0
% 0.21/0.27 % BW rewrite match attempts : 0
% 0.21/0.27 % BW rewrite match successes : 0
% 0.21/0.27 % Condensation attempts : 0
% 0.21/0.27 % Condensation successes : 0
% 0.21/0.27 % Termbank termtop insertions : 831
% 0.21/0.27 % Search garbage collected termcells : 180
% 0.21/0.27
% 0.21/0.27 % -------------------------------------------------
% 0.21/0.27 % User time : 0.004 s
% 0.21/0.27 % System time : 0.002 s
% 0.21/0.27 % Total time : 0.006 s
% 0.21/0.27 % Maximum resident set size: 3652 pages
% 0.21/0.27
% 0.21/0.27 % -------------------------------------------------
% 0.21/0.27 % User time : 0.010 s
% 0.21/0.27 % System time : 0.009 s
% 0.21/0.27 % Total time : 0.019 s
% 0.21/0.27 % Maximum resident set size: 4864 pages
% 0.21/0.27 % E exiting
%------------------------------------------------------------------------------