%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO554^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:43:24 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.28s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 8 ~; 6 |; 0 &; 13 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
p: $i > $o ).
thf(decl_24,type,
s: $i ).
thf(decl_25,type,
t: $i ).
thf(decl_26,type,
u: $i ).
thf(puv,axiom,
( ~ ( p @ u )
| ~ ( p @ t ) ),
file('/export/starexec/sandbox/tmp/tmp.fPYxefdR1h/E---3.1_1342155.p',puv) ).
thf(pst,axiom,
( ( p @ s )
| ( p @ t ) ),
file('/export/starexec/sandbox/tmp/tmp.fPYxefdR1h/E---3.1_1342155.p',pst) ).
thf(st,axiom,
s = t,
file('/export/starexec/sandbox/tmp/tmp.fPYxefdR1h/E---3.1_1342155.p',st) ).
thf(tu,axiom,
t = u,
file('/export/starexec/sandbox/tmp/tmp.fPYxefdR1h/E---3.1_1342155.p',tu) ).
thf(c_0_4,plain,
( ~ ( p @ u )
| ~ ( p @ t ) ),
inference(fof_simplification,[status(thm)],[puv]) ).
thf(c_0_5,plain,
( ~ ( p @ u )
| ~ ( p @ t ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
( ( p @ s )
| ( p @ t ) ),
inference(split_conjunct,[status(thm)],[pst]) ).
thf(c_0_7,plain,
s = t,
inference(split_conjunct,[status(thm)],[st]) ).
thf(c_0_8,plain,
( ~ ( p @ u )
| ~ ( p @ t ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
p @ t,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
thf(c_0_10,plain,
t = u,
inference(split_conjunct,[status(thm)],[tu]) ).
thf(c_0_11,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO554^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n020.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 17:15:34 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.25 Running higher-order theorem proving
% 0.07/0.26 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.fPYxefdR1h/E---3.1_1342155.p
% 0.25/0.28 % Version: 3.5.1-ho
% 0.25/0.28 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.25/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.25/0.28 % Starting ho_unfolding_6 with 300s (1) cores
% 0.25/0.28 % Starting sh4l with 300s (1) cores
% 0.25/0.28 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.25/0.28 % sh4l with pid 1342188 completed with status 0
% 0.25/0.28 % Result found by sh4l
% 0.25/0.28 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.25/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.25/0.28 % Starting ho_unfolding_6 with 300s (1) cores
% 0.25/0.28 % Starting sh4l with 300s (1) cores
% 0.25/0.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.28 % No SInE strategy applied
% 0.25/0.28 % Search class: HGHSF-FFSS00-SFFFFFNN
% 0.25/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.28 % SubtermCWHack with pid 1342192 completed with status 0
% 0.25/0.28 % Result found by SubtermCWHack
% 0.25/0.28 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.25/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.25/0.28 % Starting ho_unfolding_6 with 300s (1) cores
% 0.25/0.28 % Starting sh4l with 300s (1) cores
% 0.25/0.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.28 % No SInE strategy applied
% 0.25/0.28 % Search class: HGHSF-FFSS00-SFFFFFNN
% 0.25/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.28 % Preprocessing time : 0.001 s
% 0.25/0.28
% 0.25/0.28 % Proof found!
% 0.25/0.28 % SZS status Unsatisfiable
% 0.25/0.28 % SZS output start CNFRefutation
% See solution above
% 0.25/0.28 % Parsed axioms : 8
% 0.25/0.28 % Removed by relevancy pruning/SinE : 0
% 0.25/0.28 % Initial clauses : 8
% 0.25/0.28 % Removed in clause preprocessing : 4
% 0.25/0.28 % Initial clauses in saturation : 4
% 0.25/0.28 % Processed clauses : 4
% 0.25/0.28 % ...of these trivial : 0
% 0.25/0.28 % ...subsumed : 0
% 0.25/0.28 % ...remaining for further processing : 3
% 0.25/0.28 % Other redundant clauses eliminated : 0
% 0.25/0.28 % Clauses deleted for lack of memory : 0
% 0.25/0.28 % Backward-subsumed : 0
% 0.25/0.28 % Backward-rewritten : 0
% 0.25/0.28 % Generated clauses : 0
% 0.25/0.28 % ...of the previous two non-redundant : 0
% 0.25/0.28 % ...aggressively subsumed : 0
% 0.25/0.28 % Contextual simplify-reflections : 0
% 0.25/0.28 % Paramodulations : 0
% 0.25/0.28 % Factorizations : 0
% 0.25/0.28 % NegExts : 0
% 0.25/0.28 % Equation resolutions : 0
% 0.25/0.28 % Disequality decompositions : 0
% 0.25/0.28 % Total rewrite steps : 4
% 0.25/0.28 % ...of those cached : 1
% 0.25/0.28 % Propositional unsat checks : 0
% 0.25/0.28 % Propositional check models : 0
% 0.25/0.28 % Propositional check unsatisfiable : 0
% 0.25/0.28 % Propositional clauses : 0
% 0.25/0.28 % Propositional clauses after purity: 0
% 0.25/0.28 % Propositional unsat core size : 0
% 0.25/0.28 % Propositional preprocessing time : 0.000
% 0.25/0.28 % Propositional encoding time : 0.000
% 0.25/0.28 % Propositional solver time : 0.000
% 0.25/0.28 % Success case prop preproc time : 0.000
% 0.25/0.28 % Success case prop encoding time : 0.000
% 0.25/0.28 % Success case prop solver time : 0.000
% 0.25/0.28 % Current number of processed clauses : 3
% 0.25/0.28 % Positive orientable unit clauses : 3
% 0.25/0.28 % Positive unorientable unit clauses: 0
% 0.25/0.28 % Negative unit clauses : 0
% 0.25/0.28 % Non-unit-clauses : 0
% 0.25/0.28 % Current number of unprocessed clauses: 0
% 0.25/0.28 % ...number of literals in the above : 0
% 0.25/0.28 % Current number of archived formulas : 0
% 0.25/0.28 % Current number of archived clauses : 0
% 0.25/0.28 % Clause-clause subsumption calls (NU) : 0
% 0.25/0.28 % Rec. Clause-clause subsumption calls : 0
% 0.25/0.28 % Non-unit clause-clause subsumptions : 0
% 0.25/0.28 % Unit Clause-clause subsumption calls : 0
% 0.25/0.28 % Rewrite failures with RHS unbound : 0
% 0.25/0.28 % BW rewrite match attempts : 0
% 0.25/0.28 % BW rewrite match successes : 0
% 0.25/0.28 % Condensation attempts : 0
% 0.25/0.28 % Condensation successes : 0
% 0.25/0.28 % Termbank termtop insertions : 198
% 0.25/0.28 % Search garbage collected termcells : 1
% 0.25/0.28
% 0.25/0.28 % -------------------------------------------------
% 0.25/0.28 % User time : 0.003 s
% 0.25/0.28 % System time : 0.001 s
% 0.25/0.28 % Total time : 0.004 s
% 0.25/0.28 % Maximum resident set size: 3624 pages
% 0.25/0.28
% 0.25/0.28 % -------------------------------------------------
% 0.25/0.28 % User time : 0.006 s
% 0.25/0.28 % System time : 0.004 s
% 0.25/0.28 % Total time : 0.010 s
% 0.25/0.28 % Maximum resident set size: 4608 pages
% 0.25/0.28 % E exiting
%------------------------------------------------------------------------------