%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP060^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 08:04:14 AM UTC 2026
% Result : Theorem 0.67s 0.39s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 135 ( 9 ~; 4 |; 0 &; 120 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
config256849571t_unit: $tType ).
thf(decl_sort2,type,
nat: $tType ).
thf(decl_sort3,type,
list_c1059388851t_unit: $tType ).
thf(decl_27,type,
minus_minus_nat: nat > nat > nat ).
thf(decl_28,type,
one_one_nat: nat ).
thf(decl_36,type,
nth_co1649820636t_unit: list_c1059388851t_unit > nat > config256849571t_unit ).
thf(decl_38,type,
suc: nat > nat ).
thf(decl_39,type,
size_s1406904903t_unit: list_c1059388851t_unit > nat ).
thf(decl_41,type,
ord_less_nat: nat > nat > $o ).
thf(decl_43,type,
fe: nat > list_c1059388851t_unit ).
thf(decl_45,type,
index: nat ).
thf(decl_49,type,
n1: nat ).
thf(conj_0,conjecture,
( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
= ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d0cRTw6sHB/E---3.1_1499914.p',conj_0) ).
thf(fact_1_SameCfgOnLow,axiom,
! [X1: nat] :
( ( ord_less_nat @ X1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
=> ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X1 )
= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.d0cRTw6sHB/E---3.1_1499914.p',fact_1_SameCfgOnLow) ).
thf(fact_154_less__imp__diff__less,axiom,
! [X25: nat,X4: nat,X2: nat] :
( ( ord_less_nat @ X25 @ X4 )
=> ( ord_less_nat @ ( minus_minus_nat @ X25 @ X2 ) @ X4 ) ),
file('/export/starexec/sandbox2/tmp/tmp.d0cRTw6sHB/E---3.1_1499914.p',fact_154_less__imp__diff__less) ).
thf(fact_0_Occ3_H,axiom,
ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ),
file('/export/starexec/sandbox2/tmp/tmp.d0cRTw6sHB/E---3.1_1499914.p',fact_0_Occ3_H) ).
thf(c_0_4,negated_conjecture,
( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
!= ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,negated_conjecture,
( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
!= ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
!= ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_7,plain,
! [X647: nat] :
( ~ ( ord_less_nat @ X647 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
| ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X647 )
= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X647 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_SameCfgOnLow])])]) ).
thf(c_0_8,negated_conjecture,
( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
!= ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
! [X1: nat] :
( ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X1 )
= ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X1 ) )
| ~ ( ord_less_nat @ X1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,plain,
! [X1028: nat,X1029: nat,X1030: nat] :
( ~ ( ord_less_nat @ X1028 @ X1029 )
| ( ord_less_nat @ ( minus_minus_nat @ X1028 @ X1030 ) @ X1029 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_154_less__imp__diff__less])])]) ).
thf(c_0_11,negated_conjecture,
~ ( ord_less_nat @ ( minus_minus_nat @ n1 @ one_one_nat ) @ ( size_s1406904903t_unit @ ( fe @ index ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,plain,
! [X1: nat,X3: nat,X2: nat] :
( ( ord_less_nat @ ( minus_minus_nat @ X1 @ X3 ) @ X2 )
| ~ ( ord_less_nat @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_13,plain,
ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ),
inference(split_conjunct,[status(thm)],[fact_0_Occ3_H]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP060^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n020.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:45:49 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.21/0.26 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.d0cRTw6sHB/E---3.1_1499914.p
% 0.67/0.39 % Version: 3.5.1-ho
% 0.67/0.39 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.67/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.67/0.39 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.67/0.39 % Starting full_lambda_6 with 300s (1) cores
% 0.67/0.39 % Starting full_lambda_9 with 300s (1) cores
% 0.67/0.39 % new_ho_10 with pid 1499927 completed with status 0
% 0.67/0.39 % Result found by new_ho_10
% 0.67/0.39 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.67/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.67/0.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.67/0.39 % No SInE strategy applied
% 0.67/0.39 % Search class: HGHSM-FSLM31-MHFFFSBC
% 0.67/0.39 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.67/0.39 % Starting SubtermCWHack with 136s (1) cores
% 0.67/0.39 % Starting new_ho_10 with 151s (1) cores
% 0.67/0.39 % Starting almost_fo_4 with 136s (1) cores
% 0.67/0.39 % Starting new_ho_10_unif with 136s (1) cores
% 0.67/0.39 % Starting ehoh_best3_fo with 136s (1) cores
% 0.67/0.39 % new_ho_10 with pid 1499935 completed with status 0
% 0.67/0.39 % Result found by new_ho_10
% 0.67/0.39 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.67/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.67/0.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.67/0.39 % No SInE strategy applied
% 0.67/0.39 % Search class: HGHSM-FSLM31-MHFFFSBC
% 0.67/0.39 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.67/0.39 % Starting SubtermCWHack with 136s (1) cores
% 0.67/0.39 % Starting new_ho_10 with 151s (1) cores
% 0.67/0.39 % Preprocessing time : 0.007 s
% 0.67/0.39 % Presaturation interreduction done
% 0.67/0.39
% 0.67/0.39 % Proof found!
% 0.67/0.39 % SZS status Theorem
% 0.67/0.39 % SZS output start CNFRefutation
% See solution above
% 0.67/0.39 % Parsed axioms : 279
% 0.67/0.39 % Removed by relevancy pruning/SinE : 0
% 0.67/0.39 % Initial clauses : 440
% 0.67/0.39 % Removed in clause preprocessing : 49
% 0.67/0.39 % Initial clauses in saturation : 391
% 0.67/0.39 % Processed clauses : 627
% 0.67/0.39 % ...of these trivial : 12
% 0.67/0.39 % ...subsumed : 103
% 0.67/0.39 % ...remaining for further processing : 512
% 0.67/0.39 % Other redundant clauses eliminated : 79
% 0.67/0.39 % Clauses deleted for lack of memory : 0
% 0.67/0.39 % Backward-subsumed : 0
% 0.67/0.39 % Backward-rewritten : 3
% 0.67/0.39 % Generated clauses : 1146
% 0.67/0.39 % ...of the previous two non-redundant : 961
% 0.67/0.39 % ...aggressively subsumed : 0
% 0.67/0.39 % Contextual simplify-reflections : 1
% 0.67/0.39 % Paramodulations : 1062
% 0.67/0.39 % Factorizations : 0
% 0.67/0.39 % NegExts : 0
% 0.67/0.39 % Equation resolutions : 80
% 0.67/0.39 % Disequality decompositions : 0
% 0.67/0.39 % Total rewrite steps : 286
% 0.67/0.39 % ...of those cached : 217
% 0.67/0.39 % Propositional unsat checks : 0
% 0.67/0.39 % Propositional check models : 0
% 0.67/0.39 % Propositional check unsatisfiable : 0
% 0.67/0.39 % Propositional clauses : 0
% 0.67/0.39 % Propositional clauses after purity: 0
% 0.67/0.39 % Propositional unsat core size : 0
% 0.67/0.39 % Propositional preprocessing time : 0.000
% 0.67/0.39 % Propositional encoding time : 0.000
% 0.67/0.39 % Propositional solver time : 0.000
% 0.67/0.39 % Success case prop preproc time : 0.000
% 0.67/0.39 % Success case prop encoding time : 0.000
% 0.67/0.39 % Success case prop solver time : 0.000
% 0.67/0.39 % Current number of processed clauses : 168
% 0.67/0.39 % Positive orientable unit clauses : 71
% 0.67/0.39 % Positive unorientable unit clauses: 1
% 0.67/0.39 % Negative unit clauses : 18
% 0.67/0.39 % Non-unit-clauses : 78
% 0.67/0.39 % Current number of unprocessed clauses: 999
% 0.67/0.39 % ...number of literals in the above : 2490
% 0.67/0.39 % Current number of archived formulas : 0
% 0.67/0.39 % Current number of archived clauses : 303
% 0.67/0.39 % Clause-clause subsumption calls (NU) : 17172
% 0.67/0.39 % Rec. Clause-clause subsumption calls : 7313
% 0.67/0.39 % Non-unit clause-clause subsumptions : 43
% 0.67/0.39 % Unit Clause-clause subsumption calls : 211
% 0.67/0.39 % Rewrite failures with RHS unbound : 0
% 0.67/0.39 % BW rewrite match attempts : 1297
% 0.67/0.39 % BW rewrite match successes : 15
% 0.67/0.39 % Condensation attempts : 627
% 0.67/0.39 % Condensation successes : 0
% 0.67/0.39 % Termbank termtop insertions : 57381
% 0.67/0.39 % Search garbage collected termcells : 8792
% 0.67/0.39
% 0.67/0.39 % -------------------------------------------------
% 0.67/0.39 % User time : 0.091 s
% 0.67/0.39 % System time : 0.011 s
% 0.67/0.39 % Total time : 0.102 s
% 0.67/0.39 % Maximum resident set size: 5280 pages
% 0.67/0.39
% 0.67/0.39 % -------------------------------------------------
% 0.67/0.39 % User time : 0.327 s
% 0.67/0.39 % System time : 0.044 s
% 0.67/0.39 % Total time : 0.371 s
% 0.67/0.39 % Maximum resident set size: 5376 pages
% 0.67/0.39 % E exiting
%------------------------------------------------------------------------------