%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO348^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 08:44:14 AM UTC 2026
% Result : Theorem 0.27s 0.38s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 0 equ; 0 cnn)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 60 ( 18 ~; 14 |; 7 &; 15 @)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-1 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
b: $o ).
thf(decl_24,type,
a: $o ).
thf(decl_25,type,
epred1_0: $o > $o ).
thf(cE1EXT,conjecture,
( ( a
<=> b )
=> ! [X1: $o > $o] :
( ( X1 @ a )
=> ( X1 @ b ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ayzV9OiUw2/E---3.1_1043597.p',cE1EXT) ).
thf(c_0_1,negated_conjecture,
~ ( ( a
<=> b )
=> ! [X1: $o > $o] :
( ( X1 @ a )
=> ( X1 @ b ) ) ),
inference(assume_negation,[status(cth)],[cE1EXT]) ).
thf(c_0_2,negated_conjecture,
( ( ~ a
| b )
& ( ~ b
| a )
& ( ~ a
| ( epred1_0 @ $true ) )
& ( a
| ( epred1_0 @ $false ) )
& ( ~ b
| b )
& ( ~ ( epred1_0 @ $false )
| b )
& ( ~ b
| ~ ( epred1_0 @ $true ) )
& ( ~ ( epred1_0 @ $false )
| ~ ( epred1_0 @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
( b
| ~ ( epred1_0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( a
| ( epred1_0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( b
| ~ a ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
( a
| ~ b ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
b,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
thf(c_0_8,negated_conjecture,
( ( epred1_0 @ $true )
| ~ a ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
a,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
thf(c_0_10,negated_conjecture,
( ~ b
| ~ ( epred1_0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
epred1_0 @ $true,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_7]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO348^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.28 % Computer : n019.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8046.5625MB
% 0.10/0.28 % OS : Linux 6.8.0-71-generic
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Tue Sep 29 16:48:02 UTC 2026
% 0.10/0.28 % CPUTime :
% 0.10/0.28 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.35 Running higher-order theorem proving
% 0.27/0.37 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.ayzV9OiUw2/E---3.1_1043597.p
% 0.27/0.38 % Version: 3.5.1-ho
% 0.27/0.38 % Preprocessing class: HSSSSLSSSSSNSSA.
% 0.27/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.38 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.27/0.38 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.27/0.38 % Starting sh5l with 300s (1) cores
% 0.27/0.38 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.38 % ehoh_best_sine_rwall with pid 1043612 completed with status 0
% 0.27/0.38 % Result found by ehoh_best_sine_rwall
% 0.27/0.38 % Preprocessing class: HSSSSLSSSSSNSSA.
% 0.27/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.38 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.27/0.38 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.27/0.38 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.27/0.38 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.27/0.38 % Search class: HGHNF-FFSF00-SSSFFFNN
% 0.27/0.38 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.38 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.38 % SubtermCWHack with pid 1043615 completed with status 0
% 0.27/0.38 % Result found by SubtermCWHack
% 0.27/0.38 % Preprocessing class: HSSSSLSSSSSNSSA.
% 0.27/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.38 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.27/0.38 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.27/0.38 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.27/0.38 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.27/0.38 % Search class: HGHNF-FFSF00-SSSFFFNN
% 0.27/0.38 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.38 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.38 % Preprocessing time : 0.002 s
% 0.27/0.38
% 0.27/0.38 % Proof found!
% 0.27/0.38 % SZS status Theorem
% 0.27/0.38 % SZS output start CNFRefutation
% See solution above
% 0.27/0.38 % Parsed axioms : 3
% 0.27/0.38 % Removed by relevancy pruning/SinE : 2
% 0.27/0.38 % Initial clauses : 8
% 0.27/0.38 % Removed in clause preprocessing : 1
% 0.27/0.38 % Initial clauses in saturation : 7
% 0.27/0.38 % Processed clauses : 9
% 0.27/0.38 % ...of these trivial : 0
% 0.27/0.38 % ...subsumed : 0
% 0.27/0.38 % ...remaining for further processing : 8
% 0.27/0.38 % Other redundant clauses eliminated : 0
% 0.27/0.38 % Clauses deleted for lack of memory : 0
% 0.27/0.38 % Backward-subsumed : 0
% 0.27/0.38 % Backward-rewritten : 5
% 0.27/0.38 % Generated clauses : 2
% 0.27/0.38 % ...of the previous two non-redundant : 3
% 0.27/0.38 % ...aggressively subsumed : 0
% 0.27/0.38 % Contextual simplify-reflections : 1
% 0.27/0.38 % Paramodulations : 2
% 0.27/0.38 % Factorizations : 0
% 0.27/0.38 % NegExts : 0
% 0.27/0.38 % Equation resolutions : 0
% 0.27/0.38 % Disequality decompositions : 0
% 0.27/0.38 % Total rewrite steps : 7
% 0.27/0.38 % ...of those cached : 4
% 0.27/0.38 % Propositional unsat checks : 0
% 0.27/0.38 % Propositional check models : 0
% 0.27/0.38 % Propositional check unsatisfiable : 0
% 0.27/0.38 % Propositional clauses : 0
% 0.27/0.38 % Propositional clauses after purity: 0
% 0.27/0.38 % Propositional unsat core size : 0
% 0.27/0.38 % Propositional preprocessing time : 0.000
% 0.27/0.38 % Propositional encoding time : 0.000
% 0.27/0.38 % Propositional solver time : 0.000
% 0.27/0.38 % Success case prop preproc time : 0.000
% 0.27/0.38 % Success case prop encoding time : 0.000
% 0.27/0.38 % Success case prop solver time : 0.000
% 0.27/0.38 % Current number of processed clauses : 3
% 0.27/0.38 % Positive orientable unit clauses : 3
% 0.27/0.38 % Positive unorientable unit clauses: 0
% 0.27/0.38 % Negative unit clauses : 0
% 0.27/0.38 % Non-unit-clauses : 0
% 0.27/0.38 % Current number of unprocessed clauses: 1
% 0.27/0.38 % ...number of literals in the above : 2
% 0.27/0.38 % Current number of archived formulas : 0
% 0.27/0.38 % Current number of archived clauses : 5
% 0.27/0.38 % Clause-clause subsumption calls (NU) : 1
% 0.27/0.38 % Rec. Clause-clause subsumption calls : 1
% 0.27/0.38 % Non-unit clause-clause subsumptions : 1
% 0.27/0.38 % Unit Clause-clause subsumption calls : 0
% 0.27/0.38 % Rewrite failures with RHS unbound : 0
% 0.27/0.38 % BW rewrite match attempts : 2
% 0.27/0.38 % BW rewrite match successes : 2
% 0.27/0.38 % Condensation attempts : 0
% 0.27/0.38 % Condensation successes : 0
% 0.27/0.38 % Termbank termtop insertions : 377
% 0.27/0.38 % Search garbage collected termcells : 90
% 0.27/0.38
% 0.27/0.38 % -------------------------------------------------
% 0.27/0.38 % User time : 0.004 s
% 0.27/0.38 % System time : 0.002 s
% 0.27/0.38 % Total time : 0.006 s
% 0.27/0.38 % Maximum resident set size: 3572 pages
% 0.27/0.38
% 0.27/0.38 % -------------------------------------------------
% 0.27/0.38 % User time : 0.005 s
% 0.27/0.38 % System time : 0.006 s
% 0.27/0.38 % Total time : 0.011 s
% 0.27/0.38 % Maximum resident set size: 4608 pages
% 0.27/0.38 % E exiting
%------------------------------------------------------------------------------