%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PHI045^6 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:20:12 AM UTC 2026
% Result : Theorem 0.09s 0.27s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 5 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 67 ( 18 ~; 8 |; 2 &; 37 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 19 ( 5 ^; 11 !; 3 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
entity: $tType ).
thf(decl_23,type,
god_like: entity > $o ).
thf(decl_24,type,
positive_property: ( entity > $o ) > $o ).
thf(decl_25,type,
esk1_2: ( entity > $o ) > ( entity > $o ) > entity ).
thf(coro1,axiom,
~ ( positive_property
@ ^ [X1: entity] : ( X1 != X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.fiJaGJahAS/E---3.1_744056.p',coro1) ).
thf(coro2,axiom,
! [X2: entity > $o,X3: entity > $o] :
( ( ( positive_property @ X2 )
& ! [X4: entity] :
( ( X2 @ X4 )
=> ( X3 @ X4 ) ) )
=> ( positive_property @ X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.fiJaGJahAS/E---3.1_744056.p',coro2) ).
thf(conj_1,conjecture,
? [X1: entity] : ( god_like @ X1 ),
file('/export/starexec/sandbox2/tmp/tmp.fiJaGJahAS/E---3.1_744056.p',conj_1) ).
thf(axiom3,axiom,
positive_property @ god_like,
file('/export/starexec/sandbox2/tmp/tmp.fiJaGJahAS/E---3.1_744056.p',axiom3) ).
thf(c_0_4,plain,
~ ( positive_property
@ ^ [Z0: entity] : ( Z0 != Z0 ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[coro1])]) ).
thf(c_0_5,plain,
! [X9: entity > $o,X10: entity > $o] :
( ( ( X9 @ ( esk1_2 @ X9 @ X10 ) )
| ~ ( positive_property @ X9 )
| ( positive_property @ X10 ) )
& ( ~ ( X10 @ ( esk1_2 @ X9 @ X10 ) )
| ~ ( positive_property @ X9 )
| ( positive_property @ X10 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[coro2])])])])]) ).
thf(c_0_6,negated_conjecture,
~ ? [X1: entity] : ( god_like @ X1 ),
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(c_0_7,plain,
~ ( positive_property
@ ^ [Z0: entity] : ( Z0 != Z0 ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X3: entity > $o,X2: entity > $o] :
( ( X2 @ ( esk1_2 @ X2 @ X3 ) )
| ( positive_property @ X3 )
| ~ ( positive_property @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
? [X14: entity] : ( god_like @ X14 ),
conj_1 ).
thf(c_0_10,negated_conjecture,
! [X12: entity] :
~ ( god_like @ X12 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
thf(c_0_11,plain,
~ ( positive_property
@ ^ [Z0: entity] : ( Z0 != Z0 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
! [X3: entity > $o] :
( ( positive_property @ X3 )
| ( god_like @ ( esk1_2 @ god_like @ X3 ) )
| ~ ( positive_property @ god_like ) ),
inference(trigger,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_13,plain,
positive_property @ god_like,
inference(split_conjunct,[status(thm)],[axiom3]) ).
thf(c_0_14,negated_conjecture,
! [X1: entity] :
~ ( god_like @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
~ ( positive_property
@ ^ [Z0: entity] : ( Z0 != Z0 ) ),
inference(cn,[status(thm)],[c_0_11]) ).
thf(c_0_16,plain,
! [X2: entity > $o] : ( positive_property @ X2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),c_0_14]) ).
thf(c_0_17,plain,
$false,
inference(spm,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI045^6 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 13:20:18 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 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.fiJaGJahAS/E---3.1_744056.p
% 0.09/0.27 % Version: 3.5.1-ho
% 0.09/0.27 % Preprocessing class: HSSSSMSSSSSNSFA.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting new_ho_14 with 1500s (5) cores
% 0.09/0.27 % Starting full_lambda_8 with 300s (1) cores
% 0.09/0.27 % Starting new_ho_13 with 300s (1) cores
% 0.09/0.27 % Starting ho_unfolding_3 with 300s (1) cores
% 0.09/0.27 % new_ho_13 with pid 744071 completed with status 0
% 0.09/0.27 % Result found by new_ho_13
% 0.09/0.27 % Preprocessing class: HSSSSMSSSSSNSFA.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting new_ho_14 with 1500s (5) cores
% 0.09/0.27 % Starting full_lambda_8 with 300s (1) cores
% 0.09/0.27 % Starting new_ho_13 with 300s (1) cores
% 0.09/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.27 % No SInE strategy applied
% 0.09/0.27 % Search class: HGUNF-FFSF22-MSFFFSBN
% 0.09/0.27 % partial match(2): HGUNF-FFSF32-MSSFFSBN
% 0.09/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.27 % SubtermCWHack with pid 744073 completed with status 0
% 0.09/0.27 % Result found by SubtermCWHack
% 0.09/0.27 % Preprocessing class: HSSSSMSSSSSNSFA.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting new_ho_14 with 1500s (5) cores
% 0.09/0.27 % Starting full_lambda_8 with 300s (1) cores
% 0.09/0.27 % Starting new_ho_13 with 300s (1) cores
% 0.09/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.27 % No SInE strategy applied
% 0.09/0.27 % Search class: HGUNF-FFSF22-MSFFFSBN
% 0.09/0.27 % partial match(2): HGUNF-FFSF32-MSSFFSBN
% 0.09/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.27 % Preprocessing time : 0.001 s
% 0.09/0.27
% 0.09/0.27 % Proof found!
% 0.09/0.27 % SZS status Theorem
% 0.09/0.27 % SZS output start CNFRefutation
% See solution above
% 0.09/0.27 % Parsed axioms : 7
% 0.09/0.27 % Removed by relevancy pruning/SinE : 0
% 0.09/0.27 % Initial clauses : 8
% 0.09/0.27 % Removed in clause preprocessing : 3
% 0.09/0.27 % Initial clauses in saturation : 9
% 0.09/0.27 % Processed clauses : 4
% 0.09/0.27 % ...of these trivial : 0
% 0.09/0.27 % ...subsumed : 0
% 0.09/0.27 % ...remaining for further processing : 4
% 0.09/0.27 % Other redundant clauses eliminated : 0
% 0.09/0.27 % Clauses deleted for lack of memory : 0
% 0.09/0.27 % Backward-subsumed : 0
% 0.09/0.27 % Backward-rewritten : 1
% 0.09/0.27 % Generated clauses : 1
% 0.09/0.27 % ...of the previous two non-redundant : 0
% 0.09/0.27 % ...aggressively subsumed : 0
% 0.09/0.27 % Contextual simplify-reflections : 0
% 0.09/0.27 % Paramodulations : 1
% 0.09/0.27 % Factorizations : 0
% 0.09/0.27 % NegExts : 0
% 0.09/0.27 % Equation resolutions : 0
% 0.09/0.27 % Disequality decompositions : 0
% 0.09/0.27 % Total rewrite steps : 2
% 0.09/0.27 % ...of those cached : 0
% 0.09/0.27 % Propositional unsat checks : 0
% 0.09/0.27 % Propositional check models : 0
% 0.09/0.27 % Propositional check unsatisfiable : 0
% 0.09/0.27 % Propositional clauses : 0
% 0.09/0.27 % Propositional clauses after purity: 0
% 0.09/0.27 % Propositional unsat core size : 0
% 0.09/0.27 % Propositional preprocessing time : 0.000
% 0.09/0.27 % Propositional encoding time : 0.000
% 0.09/0.27 % Propositional solver time : 0.000
% 0.09/0.27 % Success case prop preproc time : 0.000
% 0.09/0.27 % Success case prop encoding time : 0.000
% 0.09/0.27 % Success case prop solver time : 0.000
% 0.09/0.27 % Current number of processed clauses : 3
% 0.09/0.27 % Positive orientable unit clauses : 1
% 0.09/0.27 % Positive unorientable unit clauses: 0
% 0.09/0.27 % Negative unit clauses : 2
% 0.09/0.27 % Non-unit-clauses : 0
% 0.09/0.27 % Current number of unprocessed clauses: 5
% 0.09/0.27 % ...number of literals in the above : 15
% 0.09/0.27 % Current number of archived formulas : 0
% 0.09/0.27 % Current number of archived clauses : 2
% 0.09/0.27 % Clause-clause subsumption calls (NU) : 0
% 0.09/0.27 % Rec. Clause-clause subsumption calls : 0
% 0.09/0.27 % Non-unit clause-clause subsumptions : 0
% 0.09/0.27 % Unit Clause-clause subsumption calls : 0
% 0.09/0.27 % Rewrite failures with RHS unbound : 0
% 0.09/0.27 % BW rewrite match attempts : 2
% 0.09/0.27 % BW rewrite match successes : 1
% 0.09/0.27 % Condensation attempts : 0
% 0.09/0.27 % Condensation successes : 0
% 0.09/0.27 % Termbank termtop insertions : 461
% 0.09/0.27 % Search garbage collected termcells : 88
% 0.09/0.27
% 0.09/0.27 % -------------------------------------------------
% 0.09/0.27 % User time : 0.003 s
% 0.09/0.27 % System time : 0.001 s
% 0.09/0.27 % Total time : 0.004 s
% 0.09/0.27 % Maximum resident set size: 3632 pages
% 0.09/0.27
% 0.09/0.27 % -------------------------------------------------
% 0.09/0.27 % User time : 0.004 s
% 0.09/0.27 % System time : 0.005 s
% 0.09/0.27 % Total time : 0.009 s
% 0.09/0.27 % Maximum resident set size: 4864 pages
% 0.09/0.27 % E exiting
%------------------------------------------------------------------------------