%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO377^5 : 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 : n015.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 08:44:17 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 0 equ; 0 cnn)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 109 ( 28 ~; 26 |; 15 &; 30 @)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-1 aty)
% Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
b: $o ).
thf(decl_24,type,
a: $o ).
thf(decl_25,type,
epred1_0: $o > $o ).
thf(cEXT_IMP_EMB2,conjecture,
( ! [X1: $o,X2: $o] :
( ( X1
<=> X2 )
=> ! [X3: $o > $o] :
( ( X3 @ X1 )
=> ( X3 @ X2 ) ) )
=> ! [X4: $o > $o] :
( ( ( X4 @ a )
& ( X4 @ b ) )
=> ( X4
@ ( a
& b ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bzK0Y0Deij/E---3.1_3787182.p',cEXT_IMP_EMB2) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: $o,X2: $o] :
( ( X1
<=> X2 )
=> ! [X3: $o > $o] :
( ( X3 @ X1 )
=> ( X3 @ X2 ) ) )
=> ! [X4: $o > $o] :
( ( ( X4 @ a )
& ( X4 @ b ) )
=> ( X4
@ ( a
& b ) ) ) ),
inference(assume_negation,[status(cth)],[cEXT_IMP_EMB2]) ).
thf(c_0_2,negated_conjecture,
! [X9: $o,X10: $o,X11: $o > $o] :
( ( ~ X9
| ~ X10
| ~ ( X11 @ X9 )
| ( X11 @ X10 ) )
& ( X9
| X10
| ~ ( X11 @ X9 )
| ( X11 @ X10 ) )
& ( ~ a
| ( epred1_0 @ $true ) )
& ( a
| ( epred1_0 @ $false ) )
& ( ~ b
| ( epred1_0 @ $true ) )
& ( b
| ( epred1_0 @ $false ) )
& ( ~ a
| ~ b
| a )
& ( ~ ( epred1_0 @ $false )
| a )
& ( ~ a
| ~ b
| b )
& ( ~ ( epred1_0 @ $false )
| b )
& ( ~ a
| ~ 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(shift_quantors,[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,
( b
| ( epred1_0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( a
| ~ ( epred1_0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
( a
| ( epred1_0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
( ( epred1_0 @ $true )
| ~ b ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
b,
inference(csr,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_9,negated_conjecture,
( ~ a
| ~ b
| ~ ( epred1_0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
a,
inference(csr,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_11,negated_conjecture,
epred1_0 @ $true,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8]),c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO377^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 16:53:02 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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.bzK0Y0Deij/E---3.1_3787182.p
% 0.08/0.26 % Version: 3.5.1-ho
% 0.08/0.26 % Preprocessing class: HSSSSLSSSSSNSSA.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.26 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.08/0.26 % Starting sh5l with 300s (1) cores
% 0.08/0.26 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.26 % sh5l with pid 3787197 completed with status 0
% 0.08/0.26 % Result found by sh5l
% 0.08/0.26 % Preprocessing class: HSSSSLSSSSSNSSA.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.26 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.08/0.26 % Starting sh5l with 300s (1) cores
% 0.08/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/0.26 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/0.26 % Search class: HGHNF-FFSF00-SSSFFFNN
% 0.08/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.26 % SubtermCWHack with pid 3787199 completed with status 0
% 0.08/0.26 % Result found by SubtermCWHack
% 0.08/0.26 % Preprocessing class: HSSSSLSSSSSNSSA.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.26 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.08/0.26 % Starting sh5l with 300s (1) cores
% 0.08/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.08/0.26 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.08/0.26 % Search class: HGHNF-FFSF00-SSSFFFNN
% 0.08/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.26 % Preprocessing time : 0.001 s
% 0.08/0.26
% 0.08/0.26 % Proof found!
% 0.08/0.26 % SZS status Theorem
% 0.08/0.26 % SZS output start CNFRefutation
% See solution above
% 0.08/0.26 % Parsed axioms : 3
% 0.08/0.26 % Removed by relevancy pruning/SinE : 2
% 0.08/0.26 % Initial clauses : 12
% 0.08/0.26 % Removed in clause preprocessing : 4
% 0.08/0.26 % Initial clauses in saturation : 8
% 0.08/0.26 % Processed clauses : 8
% 0.08/0.26 % ...of these trivial : 0
% 0.08/0.26 % ...subsumed : 0
% 0.08/0.26 % ...remaining for further processing : 7
% 0.08/0.26 % Other redundant clauses eliminated : 0
% 0.08/0.26 % Clauses deleted for lack of memory : 0
% 0.08/0.26 % Backward-subsumed : 1
% 0.08/0.26 % Backward-rewritten : 3
% 0.08/0.26 % Generated clauses : 0
% 0.08/0.26 % ...of the previous two non-redundant : 1
% 0.08/0.26 % ...aggressively subsumed : 0
% 0.08/0.26 % Contextual simplify-reflections : 2
% 0.08/0.26 % Paramodulations : 0
% 0.08/0.26 % Factorizations : 0
% 0.08/0.26 % NegExts : 0
% 0.08/0.26 % Equation resolutions : 0
% 0.08/0.26 % Disequality decompositions : 0
% 0.08/0.26 % Total rewrite steps : 6
% 0.08/0.26 % ...of those cached : 3
% 0.08/0.26 % Propositional unsat checks : 0
% 0.08/0.26 % Propositional check models : 0
% 0.08/0.26 % Propositional check unsatisfiable : 0
% 0.08/0.26 % Propositional clauses : 0
% 0.08/0.26 % Propositional clauses after purity: 0
% 0.08/0.26 % Propositional unsat core size : 0
% 0.08/0.26 % Propositional preprocessing time : 0.000
% 0.08/0.26 % Propositional encoding time : 0.000
% 0.08/0.26 % Propositional solver time : 0.000
% 0.08/0.26 % Success case prop preproc time : 0.000
% 0.08/0.26 % Success case prop encoding time : 0.000
% 0.08/0.26 % Success case prop solver time : 0.000
% 0.08/0.26 % Current number of processed clauses : 3
% 0.08/0.26 % Positive orientable unit clauses : 3
% 0.08/0.26 % Positive unorientable unit clauses: 0
% 0.08/0.26 % Negative unit clauses : 0
% 0.08/0.26 % Non-unit-clauses : 0
% 0.08/0.26 % Current number of unprocessed clauses: 1
% 0.08/0.26 % ...number of literals in the above : 2
% 0.08/0.26 % Current number of archived formulas : 0
% 0.08/0.26 % Current number of archived clauses : 4
% 0.08/0.26 % Clause-clause subsumption calls (NU) : 2
% 0.08/0.26 % Rec. Clause-clause subsumption calls : 2
% 0.08/0.26 % Non-unit clause-clause subsumptions : 2
% 0.08/0.26 % Unit Clause-clause subsumption calls : 2
% 0.08/0.26 % Rewrite failures with RHS unbound : 0
% 0.08/0.26 % BW rewrite match attempts : 3
% 0.08/0.26 % BW rewrite match successes : 3
% 0.08/0.26 % Condensation attempts : 0
% 0.08/0.26 % Condensation successes : 0
% 0.08/0.26 % Termbank termtop insertions : 694
% 0.08/0.26 % Search garbage collected termcells : 199
% 0.08/0.26
% 0.08/0.26 % -------------------------------------------------
% 0.08/0.26 % User time : 0.002 s
% 0.08/0.26 % System time : 0.002 s
% 0.08/0.26 % Total time : 0.004 s
% 0.08/0.26 % Maximum resident set size: 3836 pages
% 0.08/0.26
% 0.08/0.26 % -------------------------------------------------
% 0.08/0.26 % User time : 0.004 s
% 0.08/0.26 % System time : 0.006 s
% 0.08/0.26 % Total time : 0.010 s
% 0.08/0.26 % Maximum resident set size: 4864 pages
% 0.08/0.26 % E exiting
%------------------------------------------------------------------------------