%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP224^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:05:56 AM UTC 2026
% Result : ContradictoryAxioms 11.27s 7.62s
% Output : CNFRefutation 11.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 13 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 12 ~; 3 |; 1 &; 44 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
vEBT_VEBT: $tType ).
thf(decl_252,type,
plus_plus_nat: nat > nat > nat ).
thf(decl_279,type,
zero_zero_nat: nat ).
thf(decl_568,type,
ord_less_nat: nat > nat > $o ).
thf(decl_832,type,
vEBT_invar_vebt: vEBT_VEBT > nat > $o ).
thf(decl_860,type,
deg: nat ).
thf(decl_862,type,
m: nat ).
thf(decl_864,type,
na: nat ).
thf(decl_865,type,
summary: vEBT_VEBT ).
thf(fact_763_not__add__less2,axiom,
! [X1007: nat,X1008: nat] :
~ ( ord_less_nat @ ( plus_plus_nat @ X1007 @ X1008 ) @ X1008 ),
file('/export/starexec/sandbox2/tmp/tmp.BG7pnfjADM/E---3.1_3683598.p',fact_763_not__add__less2) ).
thf(conj_6,hypothesis,
( deg
= ( plus_plus_nat @ na @ m ) ),
file('/export/starexec/sandbox2/tmp/tmp.BG7pnfjADM/E---3.1_3683598.p',conj_6) ).
thf(conj_1,hypothesis,
zero_zero_nat = deg,
file('/export/starexec/sandbox2/tmp/tmp.BG7pnfjADM/E---3.1_3683598.p',conj_1) ).
thf(conj_5,hypothesis,
m = na,
file('/export/starexec/sandbox2/tmp/tmp.BG7pnfjADM/E---3.1_3683598.p',conj_5) ).
thf(fact_486_not__gr__zero,axiom,
! [X24: nat] :
( ~ ( ord_less_nat @ zero_zero_nat @ X24 )
<=> ( X24 = zero_zero_nat ) ),
file('/export/starexec/sandbox2/tmp/tmp.BG7pnfjADM/E---3.1_3683598.p',fact_486_not__gr__zero) ).
thf(fact_0_Node_OIH_I2_J,axiom,
~ ( vEBT_invar_vebt @ summary @ zero_zero_nat ),
file('/export/starexec/sandbox2/tmp/tmp.BG7pnfjADM/E---3.1_3683598.p',fact_0_Node_OIH_I2_J) ).
thf(conj_3,hypothesis,
vEBT_invar_vebt @ summary @ m,
file('/export/starexec/sandbox2/tmp/tmp.BG7pnfjADM/E---3.1_3683598.p',conj_3) ).
thf(c_0_7,plain,
! [X1007: nat,X1008: nat] :
~ ( ord_less_nat @ ( plus_plus_nat @ X1007 @ X1008 ) @ X1008 ),
inference(fof_simplification,[status(thm)],[fact_763_not__add__less2]) ).
thf(c_0_8,plain,
! [X24658: nat,X24659: nat] :
~ ( ord_less_nat @ ( plus_plus_nat @ X24658 @ X24659 ) @ X24659 ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
thf(c_0_9,hypothesis,
( deg
= ( plus_plus_nat @ na @ m ) ),
inference(split_conjunct,[status(thm)],[conj_6]) ).
thf(c_0_10,hypothesis,
zero_zero_nat = deg,
inference(split_conjunct,[status(thm)],[conj_1]) ).
thf(c_0_11,hypothesis,
m = na,
inference(split_conjunct,[status(thm)],[conj_5]) ).
thf(c_0_12,plain,
! [X24: nat] :
( ~ ( ord_less_nat @ zero_zero_nat @ X24 )
<=> ( X24 = zero_zero_nat ) ),
inference(fof_simplification,[status(thm)],[fact_486_not__gr__zero]) ).
thf(c_0_13,plain,
! [X3: nat,X15: nat] :
~ ( ord_less_nat @ ( plus_plus_nat @ X3 @ X15 ) @ X15 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_14,hypothesis,
( ( plus_plus_nat @ m @ m )
= zero_zero_nat ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
thf(c_0_15,plain,
! [X23856: nat] :
( ( ( ord_less_nat @ zero_zero_nat @ X23856 )
| ( X23856 = zero_zero_nat ) )
& ( ( X23856 != zero_zero_nat )
| ~ ( ord_less_nat @ zero_zero_nat @ X23856 ) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
thf(c_0_16,hypothesis,
~ ( ord_less_nat @ zero_zero_nat @ m ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_17,plain,
! [X3: nat] :
( ( ord_less_nat @ zero_zero_nat @ X3 )
| ( X3 = zero_zero_nat ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_18,plain,
~ ( vEBT_invar_vebt @ summary @ zero_zero_nat ),
inference(fof_simplification,[status(thm)],[fact_0_Node_OIH_I2_J]) ).
thf(c_0_19,hypothesis,
vEBT_invar_vebt @ summary @ m,
inference(split_conjunct,[status(thm)],[conj_3]) ).
thf(c_0_20,hypothesis,
m = zero_zero_nat,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_21,plain,
~ ( vEBT_invar_vebt @ summary @ zero_zero_nat ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_22,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP224^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 20:21:24 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 4.33/4.47 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.BG7pnfjADM/E---3.1_3683598.p
% 11.27/7.62 % Version: 3.5.1-ho
% 11.27/7.62 % partial match(1): HMLMSMSMSSLCHFA
% 11.27/7.62 % Preprocessing class: HMLMSMLMSSLCHFA.
% 11.27/7.62 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 11.27/7.62 % Starting new_ho_10 with 1495s (5) cores
% 11.27/7.62 % Starting sh5l with 299s (1) cores
% 11.27/7.62 % Starting new_bool_1 with 299s (1) cores
% 11.27/7.62 % Starting new_bool_2 with 299s (1) cores
% 11.27/7.62 % new_bool_2 with pid 3683614 completed with status 0
% 11.27/7.62 % Result found by new_bool_2
% 11.27/7.62 % partial match(1): HMLMSMSMSSLCHFA
% 11.27/7.62 % Preprocessing class: HMLMSMLMSSLCHFA.
% 11.27/7.62 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 11.27/7.62 % Starting new_ho_10 with 1495s (5) cores
% 11.27/7.62 % Starting sh5l with 299s (1) cores
% 11.27/7.62 % Starting new_bool_1 with 299s (1) cores
% 11.27/7.62 % Starting new_bool_2 with 299s (1) cores
% 11.27/7.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 11.27/7.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 11.27/7.62 % Search class: HGHSM-SMLM32-DHFFFSBN
% 11.27/7.62 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 11.27/7.62 % Starting SubtermCWHack with 30s (1) cores
% 11.27/7.62 % SubtermCWHack with pid 3683615 completed with status 0
% 11.27/7.62 % Result found by SubtermCWHack
% 11.27/7.62 % partial match(1): HMLMSMSMSSLCHFA
% 11.27/7.62 % Preprocessing class: HMLMSMLMSSLCHFA.
% 11.27/7.62 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 11.27/7.62 % Starting new_ho_10 with 1495s (5) cores
% 11.27/7.62 % Starting sh5l with 299s (1) cores
% 11.27/7.62 % Starting new_bool_1 with 299s (1) cores
% 11.27/7.62 % Starting new_bool_2 with 299s (1) cores
% 11.27/7.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 11.27/7.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 11.27/7.62 % Search class: HGHSM-SMLM32-DHFFFSBN
% 11.27/7.62 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 11.27/7.62 % Starting SubtermCWHack with 30s (1) cores
% 11.27/7.62 % Preprocessing time : 0.138 s
% 11.27/7.62
% 11.27/7.62 % Proof found!
% 11.27/7.62 % SZS status ContradictoryAxioms
% 11.27/7.62 % SZS output start CNFRefutation
% See solution above
% 11.27/7.62 % Parsed axioms : 11168
% 11.27/7.62 % Removed by relevancy pruning/SinE : 7155
% 11.27/7.62 % Initial clauses : 7717
% 11.27/7.62 % Removed in clause preprocessing : 373
% 11.27/7.62 % Initial clauses in saturation : 7344
% 11.27/7.62 % Processed clauses : 681
% 11.27/7.62 % ...of these trivial : 106
% 11.27/7.62 % ...subsumed : 112
% 11.27/7.62 % ...remaining for further processing : 463
% 11.27/7.62 % Other redundant clauses eliminated : 46
% 11.27/7.62 % Clauses deleted for lack of memory : 0
% 11.27/7.62 % Backward-subsumed : 7
% 11.27/7.62 % Backward-rewritten : 20
% 11.27/7.62 % Generated clauses : 405
% 11.27/7.62 % ...of the previous two non-redundant : 157
% 11.27/7.62 % ...aggressively subsumed : 0
% 11.27/7.62 % Contextual simplify-reflections : 0
% 11.27/7.62 % Paramodulations : 329
% 11.27/7.62 % Factorizations : 0
% 11.27/7.62 % NegExts : 0
% 11.27/7.62 % Equation resolutions : 46
% 11.27/7.62 % Disequality decompositions : 0
% 11.27/7.62 % Total rewrite steps : 400
% 11.27/7.62 % ...of those cached : 231
% 11.27/7.62 % Propositional unsat checks : 0
% 11.27/7.62 % Propositional check models : 0
% 11.27/7.62 % Propositional check unsatisfiable : 0
% 11.27/7.62 % Propositional clauses : 0
% 11.27/7.62 % Propositional clauses after purity: 0
% 11.27/7.62 % Propositional unsat core size : 0
% 11.27/7.62 % Propositional preprocessing time : 0.000
% 11.27/7.62 % Propositional encoding time : 0.000
% 11.27/7.62 % Propositional solver time : 0.000
% 11.27/7.62 % Success case prop preproc time : 0.000
% 11.27/7.62 % Success case prop encoding time : 0.000
% 11.27/7.62 % Success case prop solver time : 0.000
% 11.27/7.62 % Current number of processed clauses : 393
% 11.27/7.62 % Positive orientable unit clauses : 264
% 11.27/7.62 % Positive unorientable unit clauses: 0
% 11.27/7.62 % Negative unit clauses : 120
% 11.27/7.62 % Non-unit-clauses : 9
% 11.27/7.62 % Current number of unprocessed clauses: 6818
% 11.27/7.62 % ...number of literals in the above : 22452
% 11.27/7.62 % Current number of archived formulas : 0
% 11.27/7.62 % Current number of archived clauses : 27
% 11.27/7.62 % Clause-clause subsumption calls (NU) : 12
% 11.27/7.62 % Rec. Clause-clause subsumption calls : 12
% 11.27/7.62 % Non-unit clause-clause subsumptions : 2
% 11.27/7.62 % Unit Clause-clause subsumption calls : 4284
% 11.27/7.62 % Rewrite failures with RHS unbound : 0
% 11.27/7.62 % BW rewrite match attempts : 130
% 11.27/7.62 % BW rewrite match successes : 16
% 11.27/7.62 % Condensation attempts : 0
% 11.27/7.62 % Condensation successes : 0
% 11.27/7.62 % Termbank termtop insertions : 623016
% 11.27/7.62 % Search garbage collected termcells : 160342
% 11.27/7.62
% 11.27/7.62 % -------------------------------------------------
% 11.27/7.62 % User time : 1.798 s
% 11.27/7.62 % System time : 0.101 s
% 11.27/7.62 % Total time : 1.899 s
% 11.27/7.62 % Maximum resident set size: 44616 pages
% 11.27/7.62
% 11.27/7.62 % -------------------------------------------------
% 11.27/7.62 % User time : 2.973 s
% 11.27/7.62 % System time : 0.140 s
% 11.27/7.62 % Total time : 3.113 s
% 11.27/7.62 % Maximum resident set size: 26368 pages
% 11.27/7.62 % E exiting
%------------------------------------------------------------------------------