%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO235^5 : 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 : n018.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 08:42:36 AM UTC 2026
% Result : Theorem 0.08s 0.23s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 71 ( 17 ~; 24 |; 3 &; 18 @)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
cB: $o ).
thf(decl_24,type,
cA: $o ).
thf(cTHM505,conjecture,
( ( ! [X1: $o > $o] :
( ( X1 @ cA )
=> ( X1 @ cB ) )
| ( cA
<=> cB ) )
=> ( cA
<=> cB ) ),
file('/export/starexec/sandbox/tmp/tmp.KjO9qTVHhK/E---3.1_318994.p',cTHM505) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: $o > $o] :
( ( X1 @ cA )
=> ( X1 @ cB ) )
| ( cA
<=> cB ) )
=> ( cA
<=> cB ) ),
inference(assume_negation,[status(cth)],[cTHM505]) ).
thf(c_0_2,negated_conjecture,
! [X3: $o > $o] :
( ( ~ cA
| cB
| ~ ( X3 @ cA )
| ( X3 @ cB ) )
& ( ~ cB
| cA
| ~ ( X3 @ cA )
| ( X3 @ cB ) )
& ( ~ cA
| ~ cB )
& ( cA
| cB ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X1: $o > $o] :
( cA
| ( X1 @ cB )
| ~ cB
| ~ ( X1 @ cA ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( cA
| cB ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: $o > $o] :
( ( X1 @ cB )
| cA
| ~ ( X1 @ cA ) ),
inference(csr,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_6,negated_conjecture,
( ( cB
<=> cA )
| cA ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X1: $o > $o] :
( cB
| ( X1 @ cB )
| ~ cA
| ~ ( X1 @ cA ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
( ~ cA
| ~ cB ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
cA,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])]),c_0_4]) ).
thf(c_0_10,negated_conjecture,
! [X1: $o > $o] :
( ( X1 @ cB )
| cB
| ~ ( X1 @ cA ) ),
inference(csr,[status(thm)],[c_0_7,c_0_4]) ).
thf(c_0_11,negated_conjecture,
~ cB,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
thf(c_0_12,negated_conjecture,
! [X1: $o > $o] :
( ( X1 @ cB )
| ~ ( X1 @ $true ) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9]),c_0_11]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_12]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO235^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n018.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Sep 29 16:42:41 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running higher-order theorem proving
% 0.08/0.21 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.KjO9qTVHhK/E---3.1_318994.p
% 0.08/0.23 % Version: 3.5.1-ho
% 0.08/0.23 % Preprocessing class: HSSSSLSSSSSNSSA.
% 0.08/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.23 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.23 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.08/0.23 % Starting sh5l with 300s (1) cores
% 0.08/0.23 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.23 % sh5l with pid 319009 completed with status 0
% 0.08/0.23 % Result found by sh5l
% 0.08/0.23 % Preprocessing class: HSSSSLSSSSSNSSA.
% 0.08/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.23 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.23 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.08/0.23 % Starting sh5l with 300s (1) cores
% 0.08/0.23 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/0.23 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/0.23 % Search class: HGHNF-FFSF00-SSSFFMBN
% 0.08/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.23 % SubtermCWHack with pid 319013 completed with status 10
% 0.08/0.23 % Starting sh5l with 31s (1) cores
% 0.08/0.23 % sh5l with pid 319019 completed with status 0
% 0.08/0.23 % Result found by sh5l
% 0.08/0.23 % Preprocessing class: HSSSSLSSSSSNSSA.
% 0.08/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.23 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.23 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.08/0.23 % Starting sh5l with 300s (1) cores
% 0.08/0.23 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/0.23 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/0.23 % Search class: HGHNF-FFSF00-SSSFFMBN
% 0.08/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.23 % SubtermCWHack with pid 319013 completed with status 10
% 0.08/0.23 % Starting sh5l with 31s (1) cores
% 0.08/0.23 % Preprocessing time : 0.001 s
% 0.08/0.23 % Presaturation interreduction done
% 0.08/0.23
% 0.08/0.23 % Proof found!
% 0.08/0.23 % SZS status Theorem
% 0.08/0.23 % SZS output start CNFRefutation
% See solution above
% 0.08/0.23 % Parsed axioms : 3
% 0.08/0.23 % Removed by relevancy pruning/SinE : 2
% 0.08/0.23 % Initial clauses : 4
% 0.08/0.23 % Removed in clause preprocessing : 0
% 0.08/0.23 % Initial clauses in saturation : 4
% 0.08/0.23 % Processed clauses : 12
% 0.08/0.23 % ...of these trivial : 1
% 0.08/0.23 % ...subsumed : 0
% 0.08/0.23 % ...remaining for further processing : 11
% 0.08/0.23 % Other redundant clauses eliminated : 0
% 0.08/0.23 % Clauses deleted for lack of memory : 0
% 0.08/0.23 % Backward-subsumed : 0
% 0.08/0.23 % Backward-rewritten : 3
% 0.08/0.23 % Generated clauses : 8
% 0.08/0.23 % ...of the previous two non-redundant : 6
% 0.08/0.23 % ...aggressively subsumed : 0
% 0.08/0.23 % Contextual simplify-reflections : 3
% 0.08/0.23 % Paramodulations : 2
% 0.08/0.23 % Factorizations : 0
% 0.08/0.23 % NegExts : 0
% 0.08/0.23 % Equation resolutions : 0
% 0.08/0.23 % Disequality decompositions : 0
% 0.08/0.23 % Total rewrite steps : 6
% 0.08/0.23 % ...of those cached : 5
% 0.08/0.23 % Propositional unsat checks : 0
% 0.08/0.23 % Propositional check models : 0
% 0.08/0.23 % Propositional check unsatisfiable : 0
% 0.08/0.23 % Propositional clauses : 0
% 0.08/0.23 % Propositional clauses after purity: 0
% 0.08/0.23 % Propositional unsat core size : 0
% 0.08/0.23 % Propositional preprocessing time : 0.000
% 0.08/0.23 % Propositional encoding time : 0.000
% 0.08/0.23 % Propositional solver time : 0.000
% 0.08/0.23 % Success case prop preproc time : 0.000
% 0.08/0.23 % Success case prop encoding time : 0.000
% 0.08/0.23 % Success case prop solver time : 0.000
% 0.08/0.23 % Current number of processed clauses : 3
% 0.08/0.23 % Positive orientable unit clauses : 1
% 0.08/0.23 % Positive unorientable unit clauses: 0
% 0.08/0.23 % Negative unit clauses : 1
% 0.08/0.23 % Non-unit-clauses : 1
% 0.08/0.23 % Current number of unprocessed clauses: 2
% 0.08/0.23 % ...number of literals in the above : 6
% 0.08/0.23 % Current number of archived formulas : 0
% 0.08/0.23 % Current number of archived clauses : 8
% 0.08/0.23 % Clause-clause subsumption calls (NU) : 13
% 0.08/0.23 % Rec. Clause-clause subsumption calls : 10
% 0.08/0.23 % Non-unit clause-clause subsumptions : 3
% 0.08/0.23 % Unit Clause-clause subsumption calls : 0
% 0.08/0.23 % Rewrite failures with RHS unbound : 0
% 0.08/0.23 % BW rewrite match attempts : 1
% 0.08/0.23 % BW rewrite match successes : 1
% 0.08/0.23 % Condensation attempts : 13
% 0.08/0.23 % Condensation successes : 0
% 0.08/0.23 % Termbank termtop insertions : 660
% 0.08/0.23 % Search garbage collected termcells : 94
% 0.08/0.23
% 0.08/0.23 % -------------------------------------------------
% 0.08/0.23 % User time : 0.002 s
% 0.08/0.23 % System time : 0.003 s
% 0.08/0.23 % Total time : 0.005 s
% 0.08/0.23 % Maximum resident set size: 3572 pages
% 0.08/0.23
% 0.08/0.23 % -------------------------------------------------
% 0.08/0.23 % User time : 0.004 s
% 0.08/0.23 % System time : 0.007 s
% 0.08/0.23 % Total time : 0.011 s
% 0.08/0.23 % Maximum resident set size: 4864 pages
% 0.08/0.23 % E exiting
%------------------------------------------------------------------------------