%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO892^15 : 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 : n003.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 08:43:31 AM UTC 2026
% Result : Theorem 0.27s 0.26s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 8 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 137 ( 14 ~; 9 |; 8 &; 98 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 42 ( 20 ^; 18 !; 4 ?; 42 :)
% 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_32,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(decl_33,type,
eiw_di: $i > mworld > $o ).
thf(decl_34,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(decl_36,type,
f: $i > mworld > $o ).
thf(decl_37,type,
esk1_0: mworld ).
thf(decl_38,type,
esk2_0: $i ).
thf(con,conjecture,
( mlocal
@ ( mimplies
@ ( mdia
@ ( mforall_di
@ ^ [X6: $i] : ( f @ X6 ) ) )
@ ( mforall_di
@ ^ [X6: $i] : ( mdia @ ( f @ X6 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.81wwu9O2r7/E---3.1_2801079.p',con) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [X1: mworld > $o,X3: mworld] :
? [X5: mworld] :
( ( mrel @ X3 @ X5 )
& ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.81wwu9O2r7/E---3.1_2801079.p',mdia_def) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [X7: $i > mworld > $o,X3: mworld] :
! [X6: $i] :
( ( eiw_di @ X6 @ X3 )
=> ( X7 @ X6 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.81wwu9O2r7/E---3.1_2801079.p',mforall_di_def) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.81wwu9O2r7/E---3.1_2801079.p',mimplies_def) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.81wwu9O2r7/E---3.1_2801079.p',mlocal_def) ).
thf(eiw_di_cumul,axiom,
! [X3: mworld,X5: mworld,X6: $i] :
( ( ( eiw_di @ X6 @ X3 )
& ( mrel @ X3 @ X5 ) )
=> ( eiw_di @ X6 @ X5 ) ),
file('/export/starexec/sandbox2/tmp/tmp.81wwu9O2r7/E---3.1_2801079.p',eiw_di_cumul) ).
thf(c_0_6,negated_conjecture,
~ ( mlocal
@ ( mimplies
@ ( mdia
@ ( mforall_di
@ ^ [X6: $i] : ( f @ X6 ) ) )
@ ( mforall_di
@ ^ [X6: $i] : ( mdia @ ( f @ X6 ) ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_7,plain,
( mdia
= ( ^ [Z0: mworld > $o,Z1: mworld] :
? [X5: mworld] :
( ( mrel @ Z1 @ X5 )
& ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia_def]) ).
thf(c_0_8,plain,
( mforall_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
! [X6: $i] :
( ( eiw_di @ X6 @ Z1 )
=> ( Z0 @ X6 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mforall_di_def]) ).
thf(c_0_9,plain,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_10,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_11,negated_conjecture,
~ ( ? [X17: mworld] :
( ( mrel @ mactual @ X17 )
& ! [X16: $i] :
( ( eiw_di @ X16 @ X17 )
=> ( f @ X16 @ X17 ) ) )
=> ! [X19: $i] :
( ( eiw_di @ X19 @ mactual )
=> ? [X18: mworld] :
( ( mrel @ mactual @ X18 )
& ( f @ X19 @ X18 ) ) ) ),
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_6]),c_0_7]),c_0_8]),c_0_9]),c_0_10]) ).
thf(c_0_12,negated_conjecture,
! [X21: $i,X23: mworld] :
( ( mrel @ mactual @ esk1_0 )
& ( ~ ( eiw_di @ X21 @ esk1_0 )
| ( f @ X21 @ esk1_0 ) )
& ( eiw_di @ esk2_0 @ mactual )
& ( ~ ( mrel @ mactual @ X23 )
| ~ ( f @ esk2_0 @ X23 ) ) ),
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_11])])])])]) ).
thf(c_0_13,plain,
! [X26: mworld,X27: mworld,X28: $i] :
( ~ ( eiw_di @ X28 @ X26 )
| ~ ( mrel @ X26 @ X27 )
| ( eiw_di @ X28 @ X27 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[eiw_di_cumul])])]) ).
thf(c_0_14,negated_conjecture,
! [X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( f @ esk2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X6: $i] :
( ( f @ X6 @ esk1_0 )
| ~ ( eiw_di @ X6 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_16,negated_conjecture,
mrel @ mactual @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
! [X3: mworld,X6: $i,X5: mworld] :
( ( eiw_di @ X6 @ X5 )
| ~ ( eiw_di @ X6 @ X3 )
| ~ ( mrel @ X3 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_18,negated_conjecture,
~ ( eiw_di @ esk2_0 @ esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
thf(c_0_19,negated_conjecture,
! [X6: $i] :
( ( eiw_di @ X6 @ esk1_0 )
| ~ ( eiw_di @ X6 @ mactual ) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
thf(c_0_20,negated_conjecture,
eiw_di @ esk2_0 @ mactual,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO892^15 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n003.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:27:43 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 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.81wwu9O2r7/E---3.1_2801079.p
% 0.27/0.26 % Version: 3.5.1-ho
% 0.27/0.26 % Preprocessing class: HSSSSMSSMLMNHSN.
% 0.27/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.27/0.26 % Starting sh5l with 300s (1) cores
% 0.27/0.26 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.26 % Starting new_bool_2 with 300s (1) cores
% 0.27/0.26 % sh5l with pid 2801103 completed with status 0
% 0.27/0.26 % Result found by sh5l
% 0.27/0.26 % Preprocessing class: HSSSSMSSMLMNHSN.
% 0.27/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.27/0.26 % Starting sh5l with 300s (1) cores
% 0.27/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.27/0.26 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.27/0.26 % Search class: HHHNS-FFSF11-SHSSMFNN
% 0.27/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.26 % SubtermCWHack with pid 2801110 completed with status 0
% 0.27/0.26 % Result found by SubtermCWHack
% 0.27/0.26 % Preprocessing class: HSSSSMSSMLMNHSN.
% 0.27/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.27/0.26 % Starting sh5l with 300s (1) cores
% 0.27/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.27/0.26 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.27/0.26 % Search class: HHHNS-FFSF11-SHSSMFNN
% 0.27/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.26 % Preprocessing time : 0.001 s
% 0.27/0.26
% 0.27/0.26 % Proof found!
% 0.27/0.26 % SZS status Theorem
% 0.27/0.26 % SZS output start CNFRefutation
% See solution above
% 0.27/0.26 % Parsed axioms : 29
% 0.27/0.26 % Removed by relevancy pruning/SinE : 19
% 0.27/0.26 % Initial clauses : 7
% 0.27/0.26 % Removed in clause preprocessing : 0
% 0.27/0.26 % Initial clauses in saturation : 7
% 0.27/0.26 % Processed clauses : 9
% 0.27/0.26 % ...of these trivial : 0
% 0.27/0.26 % ...subsumed : 0
% 0.27/0.26 % ...remaining for further processing : 9
% 0.27/0.26 % Other redundant clauses eliminated : 0
% 0.27/0.26 % Clauses deleted for lack of memory : 0
% 0.27/0.26 % Backward-subsumed : 0
% 0.27/0.26 % Backward-rewritten : 0
% 0.27/0.26 % Generated clauses : 4
% 0.27/0.26 % ...of the previous two non-redundant : 3
% 0.27/0.26 % ...aggressively subsumed : 0
% 0.27/0.26 % Contextual simplify-reflections : 0
% 0.27/0.26 % Paramodulations : 4
% 0.27/0.26 % Factorizations : 0
% 0.27/0.26 % NegExts : 0
% 0.27/0.26 % Equation resolutions : 0
% 0.27/0.26 % Disequality decompositions : 0
% 0.27/0.26 % Total rewrite steps : 2
% 0.27/0.26 % ...of those cached : 0
% 0.27/0.26 % Propositional unsat checks : 0
% 0.27/0.26 % Propositional check models : 0
% 0.27/0.26 % Propositional check unsatisfiable : 0
% 0.27/0.26 % Propositional clauses : 0
% 0.27/0.26 % Propositional clauses after purity: 0
% 0.27/0.26 % Propositional unsat core size : 0
% 0.27/0.26 % Propositional preprocessing time : 0.000
% 0.27/0.26 % Propositional encoding time : 0.000
% 0.27/0.26 % Propositional solver time : 0.000
% 0.27/0.26 % Success case prop preproc time : 0.000
% 0.27/0.26 % Success case prop encoding time : 0.000
% 0.27/0.26 % Success case prop solver time : 0.000
% 0.27/0.26 % Current number of processed clauses : 9
% 0.27/0.26 % Positive orientable unit clauses : 4
% 0.27/0.26 % Positive unorientable unit clauses: 0
% 0.27/0.26 % Negative unit clauses : 1
% 0.27/0.26 % Non-unit-clauses : 4
% 0.27/0.26 % Current number of unprocessed clauses: 1
% 0.27/0.26 % ...number of literals in the above : 2
% 0.27/0.26 % Current number of archived formulas : 0
% 0.27/0.26 % Current number of archived clauses : 0
% 0.27/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.27/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.27/0.26 % Non-unit clause-clause subsumptions : 0
% 0.27/0.26 % Unit Clause-clause subsumption calls : 0
% 0.27/0.26 % Rewrite failures with RHS unbound : 0
% 0.27/0.26 % BW rewrite match attempts : 0
% 0.27/0.26 % BW rewrite match successes : 0
% 0.27/0.26 % Condensation attempts : 0
% 0.27/0.26 % Condensation successes : 0
% 0.27/0.26 % Termbank termtop insertions : 914
% 0.27/0.26 % Search garbage collected termcells : 287
% 0.27/0.26
% 0.27/0.26 % -------------------------------------------------
% 0.27/0.26 % User time : 0.002 s
% 0.27/0.26 % System time : 0.004 s
% 0.27/0.26 % Total time : 0.006 s
% 0.27/0.26 % Maximum resident set size: 3656 pages
% 0.27/0.26
% 0.27/0.26 % -------------------------------------------------
% 0.27/0.26 % User time : 0.004 s
% 0.27/0.26 % System time : 0.009 s
% 0.27/0.26 % Total time : 0.012 s
% 0.27/0.26 % Maximum resident set size: 4608 pages
% 0.27/0.26 % E exiting
%------------------------------------------------------------------------------