%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP196^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:04:39 AM UTC 2026
% Result : Theorem 0.19s 0.30s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 2 |; 0 &; 8 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
list_poly_real: $tType ).
thf(decl_67,type,
nil_poly_real: list_poly_real ).
thf(decl_167,type,
sturm_891428828rm_seq: list_poly_real > $o ).
thf(fact_0_quasi__sturm__seq_Ops__not__Nil,axiom,
! [X1: list_poly_real] :
( ( sturm_891428828rm_seq @ X1 )
=> ( X1 != nil_poly_real ) ),
file('/export/starexec/sandbox/tmp/tmp.ZEJyTPIyG3/E---3.1_3870534.p',fact_0_quasi__sturm__seq_Ops__not__Nil) ).
thf(conj_0,conjecture,
~ ( sturm_891428828rm_seq @ nil_poly_real ),
file('/export/starexec/sandbox/tmp/tmp.ZEJyTPIyG3/E---3.1_3870534.p',conj_0) ).
thf(c_0_2,plain,
! [X1: list_poly_real] :
( ( sturm_891428828rm_seq @ X1 )
=> ( X1 != nil_poly_real ) ),
inference(fof_simplification,[status(thm)],[fact_0_quasi__sturm__seq_Ops__not__Nil]) ).
thf(c_0_3,negated_conjecture,
~ ~ ( sturm_891428828rm_seq @ nil_poly_real ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,plain,
! [X1020: list_poly_real] :
( ~ ( sturm_891428828rm_seq @ X1020 )
| ( X1020 != nil_poly_real ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
thf(c_0_5,negated_conjecture,
sturm_891428828rm_seq @ nil_poly_real,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
! [X1: list_poly_real] :
( ~ ( sturm_891428828rm_seq @ X1 )
| ( X1 != nil_poly_real ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
sturm_891428828rm_seq @ nil_poly_real,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP196^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.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 20:08:41 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
% 0.19/0.26 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.ZEJyTPIyG3/E---3.1_3870534.p
% 0.19/0.30 % Version: 3.5.1-ho
% 0.19/0.30 % Preprocessing class: HSLMSMSMSSMNHFA.
% 0.19/0.30 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.30 % Starting full_lambda_6 with 1200s (4) cores
% 0.19/0.30 % Starting additional_ho_6 with 300s (1) cores
% 0.19/0.30 % Starting new_ho_9 with 300s (1) cores
% 0.19/0.30 % Starting full_lambda_3 with 300s (1) cores
% 0.19/0.30 % Starting post_as_ho6 with 300s (1) cores
% 0.19/0.30 % full_lambda_3 with pid 3870571 completed with status 0
% 0.19/0.30 % Result found by full_lambda_3
% 0.19/0.30 % Preprocessing class: HSLMSMSMSSMNHFA.
% 0.19/0.30 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.30 % Starting full_lambda_6 with 1200s (4) cores
% 0.19/0.30 % Starting additional_ho_6 with 300s (1) cores
% 0.19/0.30 % Starting new_ho_9 with 300s (1) cores
% 0.19/0.30 % Starting full_lambda_3 with 300s (1) cores
% 0.19/0.30 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,1.5,,2,20000,1.0))
% 0.19/0.30 % SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
% 0.19/0.30 % Search class: HGHSF-FFMF21-MHFFFMBN
% 0.19/0.30 % partial match(2): HGHSF-FFMF21-SHHFFMBN
% 0.19/0.30 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.30 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.30 % SubtermCWHack with pid 3870576 completed with status 0
% 0.19/0.30 % Result found by SubtermCWHack
% 0.19/0.30 % Preprocessing class: HSLMSMSMSSMNHFA.
% 0.19/0.30 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.30 % Starting full_lambda_6 with 1200s (4) cores
% 0.19/0.30 % Starting additional_ho_6 with 300s (1) cores
% 0.19/0.30 % Starting new_ho_9 with 300s (1) cores
% 0.19/0.30 % Starting full_lambda_3 with 300s (1) cores
% 0.19/0.30 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,1.5,,2,20000,1.0))
% 0.19/0.30 % SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
% 0.19/0.30 % Search class: HGHSF-FFMF21-MHFFFMBN
% 0.19/0.30 % partial match(2): HGHSF-FFMF21-SHHFFMBN
% 0.19/0.30 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.30 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.30 % Preprocessing time : 0.002 s
% 0.19/0.30
% 0.19/0.30 % Proof found!
% 0.19/0.30 % SZS status Theorem
% 0.19/0.30 % SZS output start CNFRefutation
% See solution above
% 0.19/0.30 % Parsed axioms : 529
% 0.19/0.30 % Removed by relevancy pruning/SinE : 502
% 0.19/0.30 % Initial clauses : 48
% 0.19/0.30 % Removed in clause preprocessing : 1
% 0.19/0.30 % Initial clauses in saturation : 47
% 0.19/0.30 % Processed clauses : 2
% 0.19/0.30 % ...of these trivial : 0
% 0.19/0.30 % ...subsumed : 0
% 0.19/0.30 % ...remaining for further processing : 2
% 0.19/0.30 % Other redundant clauses eliminated : 1
% 0.19/0.30 % Clauses deleted for lack of memory : 0
% 0.19/0.30 % Backward-subsumed : 0
% 0.19/0.30 % Backward-rewritten : 0
% 0.19/0.30 % Generated clauses : 1
% 0.19/0.30 % ...of the previous two non-redundant : 0
% 0.19/0.30 % ...aggressively subsumed : 0
% 0.19/0.30 % Contextual simplify-reflections : 0
% 0.19/0.30 % Paramodulations : 0
% 0.19/0.30 % Factorizations : 0
% 0.19/0.30 % NegExts : 0
% 0.19/0.30 % Equation resolutions : 1
% 0.19/0.30 % Disequality decompositions : 0
% 0.19/0.30 % Total rewrite steps : 1
% 0.19/0.30 % ...of those cached : 0
% 0.19/0.30 % Propositional unsat checks : 0
% 0.19/0.30 % Propositional check models : 0
% 0.19/0.30 % Propositional check unsatisfiable : 0
% 0.19/0.30 % Propositional clauses : 0
% 0.19/0.30 % Propositional clauses after purity: 0
% 0.19/0.30 % Propositional unsat core size : 0
% 0.19/0.30 % Propositional preprocessing time : 0.000
% 0.19/0.30 % Propositional encoding time : 0.000
% 0.19/0.30 % Propositional solver time : 0.000
% 0.19/0.30 % Success case prop preproc time : 0.000
% 0.19/0.30 % Success case prop encoding time : 0.000
% 0.19/0.30 % Success case prop solver time : 0.000
% 0.19/0.30 % Current number of processed clauses : 1
% 0.19/0.30 % Positive orientable unit clauses : 1
% 0.19/0.30 % Positive unorientable unit clauses: 0
% 0.19/0.30 % Negative unit clauses : 0
% 0.19/0.30 % Non-unit-clauses : 0
% 0.19/0.30 % Current number of unprocessed clauses: 45
% 0.19/0.30 % ...number of literals in the above : 146
% 0.19/0.30 % Current number of archived formulas : 0
% 0.19/0.30 % Current number of archived clauses : 0
% 0.19/0.30 % Clause-clause subsumption calls (NU) : 0
% 0.19/0.30 % Rec. Clause-clause subsumption calls : 0
% 0.19/0.30 % Non-unit clause-clause subsumptions : 0
% 0.19/0.30 % Unit Clause-clause subsumption calls : 0
% 0.19/0.30 % Rewrite failures with RHS unbound : 0
% 0.19/0.30 % BW rewrite match attempts : 0
% 0.19/0.30 % BW rewrite match successes : 0
% 0.19/0.30 % Condensation attempts : 0
% 0.19/0.30 % Condensation successes : 0
% 0.19/0.30 % Termbank termtop insertions : 11890
% 0.19/0.30 % Search garbage collected termcells : 6255
% 0.19/0.30
% 0.19/0.30 % -------------------------------------------------
% 0.19/0.30 % User time : 0.008 s
% 0.19/0.30 % System time : 0.005 s
% 0.19/0.30 % Total time : 0.013 s
% 0.19/0.30 % Maximum resident set size: 5416 pages
% 0.19/0.30
% 0.19/0.30 % -------------------------------------------------
% 0.19/0.30 % User time : 0.019 s
% 0.19/0.30 % System time : 0.007 s
% 0.19/0.30 % Total time : 0.026 s
% 0.19/0.30 % Maximum resident set size: 6144 pages
% 0.19/0.30 % E exiting
%------------------------------------------------------------------------------