%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO350^5 : 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 : n006.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 08:42:48 AM UTC 2026
% Result : Theorem 0.11s 0.25s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 3 ~; 0 |; 2 &; 16 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
g: $i > $i ).
thf(decl_24,type,
p: ( $i > $i ) > $o ).
thf(decl_25,type,
f: $i > $i ).
thf(cE1FUNC,conjecture,
( ! [X1: $i] :
( ( f @ X1 )
= ( g @ X1 ) )
=> ( ( p @ f )
=> ( p @ g ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rqx6ESsg7y/E---3.1_1002079.p',cE1FUNC) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: $i] :
( ( f @ X1 )
= ( g @ X1 ) )
=> ( ( p @ f )
=> ( p @ g ) ) ),
inference(assume_negation,[status(cth)],[cE1FUNC]) ).
thf(c_0_2,negated_conjecture,
! [X3: $i] :
( ( ( f @ X3 )
= ( g @ X3 ) )
& ( p @ f )
& ~ ( p @ g ) ),
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: $i] :
( ( f @ X1 )
= ( g @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
p @ f,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
f = g,
inference(pos_ext,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
~ ( p @ g ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO350^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n006.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 16:47:54 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running higher-order theorem proving
% 0.11/0.23 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.rqx6ESsg7y/E---3.1_1002079.p
% 0.11/0.25 % Version: 3.5.1-ho
% 0.11/0.25 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.11/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.11/0.25 % Starting post_as_ho10 with 300s (1) cores
% 0.11/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.11/0.25 % Starting sh5l with 300s (1) cores
% 0.11/0.25 % ehoh_best_nonlift_nonlambdatoforall with pid 1002092 completed with status 0
% 0.11/0.25 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.11/0.25 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.11/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.11/0.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.25 % No SInE strategy applied
% 0.11/0.25 % Search class: HUUSF-FFSF11-SSSFFFNN
% 0.11/0.25 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.25 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.11/0.25 % Starting sh5l with 136s (1) cores
% 0.11/0.25 % Starting new_bool_1 with 136s (1) cores
% 0.11/0.25 % Starting new_bool_2 with 136s (1) cores
% 0.11/0.25 % ehoh_best_nonlift_nonlambdatoforall with pid 1002098 completed with status 0
% 0.11/0.25 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.11/0.25 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.11/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.11/0.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.25 % No SInE strategy applied
% 0.11/0.25 % Search class: HUUSF-FFSF11-SSSFFFNN
% 0.11/0.25 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.25 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.25 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.11/0.25 % Preprocessing time : 0.001 s
% 0.11/0.25 % Presaturation interreduction done
% 0.11/0.25
% 0.11/0.25 % Proof found!
% 0.11/0.25 % SZS status Theorem
% 0.11/0.25 % SZS output start CNFRefutation
% See solution above
% 0.11/0.25 % Parsed axioms : 4
% 0.11/0.25 % Removed by relevancy pruning/SinE : 0
% 0.11/0.25 % Initial clauses : 6
% 0.11/0.25 % Removed in clause preprocessing : 3
% 0.11/0.25 % Initial clauses in saturation : 3
% 0.11/0.25 % Processed clauses : 7
% 0.11/0.25 % ...of these trivial : 0
% 0.11/0.25 % ...subsumed : 0
% 0.11/0.25 % ...remaining for further processing : 7
% 0.11/0.25 % Other redundant clauses eliminated : 0
% 0.11/0.25 % Clauses deleted for lack of memory : 0
% 0.11/0.25 % Backward-subsumed : 0
% 0.11/0.25 % Backward-rewritten : 1
% 0.11/0.25 % Generated clauses : 3
% 0.11/0.25 % ...of the previous two non-redundant : 2
% 0.11/0.25 % ...aggressively subsumed : 0
% 0.11/0.25 % Contextual simplify-reflections : 0
% 0.11/0.25 % Paramodulations : 0
% 0.11/0.25 % Factorizations : 0
% 0.11/0.25 % NegExts : 0
% 0.11/0.25 % Equation resolutions : 0
% 0.11/0.25 % Disequality decompositions : 0
% 0.11/0.25 % Total rewrite steps : 1
% 0.11/0.25 % ...of those cached : 0
% 0.11/0.25 % Propositional unsat checks : 0
% 0.11/0.25 % Propositional check models : 0
% 0.11/0.25 % Propositional check unsatisfiable : 0
% 0.11/0.25 % Propositional clauses : 0
% 0.11/0.25 % Propositional clauses after purity: 0
% 0.11/0.25 % Propositional unsat core size : 0
% 0.11/0.25 % Propositional preprocessing time : 0.000
% 0.11/0.25 % Propositional encoding time : 0.000
% 0.11/0.25 % Propositional solver time : 0.000
% 0.11/0.25 % Success case prop preproc time : 0.000
% 0.11/0.25 % Success case prop encoding time : 0.000
% 0.11/0.25 % Success case prop solver time : 0.000
% 0.11/0.25 % Current number of processed clauses : 3
% 0.11/0.25 % Positive orientable unit clauses : 2
% 0.11/0.25 % Positive unorientable unit clauses: 0
% 0.11/0.25 % Negative unit clauses : 1
% 0.11/0.25 % Non-unit-clauses : 0
% 0.11/0.25 % Current number of unprocessed clauses: 1
% 0.11/0.25 % ...number of literals in the above : 1
% 0.11/0.25 % Current number of archived formulas : 0
% 0.11/0.25 % Current number of archived clauses : 4
% 0.11/0.25 % Clause-clause subsumption calls (NU) : 0
% 0.11/0.25 % Rec. Clause-clause subsumption calls : 0
% 0.11/0.25 % Non-unit clause-clause subsumptions : 0
% 0.11/0.25 % Unit Clause-clause subsumption calls : 0
% 0.11/0.25 % Rewrite failures with RHS unbound : 0
% 0.11/0.25 % BW rewrite match attempts : 3
% 0.11/0.25 % BW rewrite match successes : 1
% 0.11/0.25 % Condensation attempts : 0
% 0.11/0.25 % Condensation successes : 0
% 0.11/0.25 % Termbank termtop insertions : 178
% 0.11/0.25 % Search garbage collected termcells : 33
% 0.11/0.25
% 0.11/0.25 % -------------------------------------------------
% 0.11/0.25 % User time : 0.002 s
% 0.11/0.25 % System time : 0.002 s
% 0.11/0.25 % Total time : 0.004 s
% 0.11/0.25 % Maximum resident set size: 3624 pages
% 0.11/0.25
% 0.11/0.25 % -------------------------------------------------
% 0.11/0.25 % User time : 0.006 s
% 0.11/0.25 % System time : 0.011 s
% 0.11/0.25 % Total time : 0.017 s
% 0.11/0.25 % Maximum resident set size: 4864 pages
% 0.11/0.25 % E exiting
%------------------------------------------------------------------------------