%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP276^1 : 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 : n014.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 08:06:10 AM UTC 2026
% Result : ContradictoryAxioms 10.38s 7.52s
% Output : CNFRefutation 10.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 7 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 38 ( 4 ~; 0 |; 0 &; 34 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
num: $tType ).
thf(decl_291,type,
one_one_nat: nat ).
thf(decl_331,type,
zero_zero_nat: nat ).
thf(decl_694,type,
suc: nat > nat ).
thf(decl_782,type,
bit0: num > num ).
thf(decl_784,type,
one: num ).
thf(decl_792,type,
numeral_numeral_nat: num > nat ).
thf(decl_853,type,
ord_less_eq_nat: nat > nat > $o ).
thf(decl_1296,type,
deg: nat ).
thf(fact_75__C1_C_I2_J,axiom,
( deg
= ( suc @ zero_zero_nat ) ),
file('/export/starexec/sandbox2/tmp/tmp.rGQ4gPUVcG/E---3.1_3195132.p',fact_75__C1_C_I2_J) ).
thf(fact_1158_One__nat__def,axiom,
( one_one_nat
= ( suc @ zero_zero_nat ) ),
file('/export/starexec/sandbox2/tmp/tmp.rGQ4gPUVcG/E---3.1_3195132.p',fact_1158_One__nat__def) ).
thf(fact_103_Suc__n__not__le__n,axiom,
! [X173: nat] :
~ ( ord_less_eq_nat @ ( suc @ X173 ) @ X173 ),
file('/export/starexec/sandbox2/tmp/tmp.rGQ4gPUVcG/E---3.1_3195132.p',fact_103_Suc__n__not__le__n) ).
thf(fact_2986_a0,axiom,
ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg,
file('/export/starexec/sandbox2/tmp/tmp.rGQ4gPUVcG/E---3.1_3195132.p',fact_2986_a0) ).
thf(fact_3212_Suc__1,axiom,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rGQ4gPUVcG/E---3.1_3195132.p',fact_3212_Suc__1) ).
thf(c_0_5,plain,
( deg
= ( suc @ zero_zero_nat ) ),
inference(split_conjunct,[status(thm)],[fact_75__C1_C_I2_J]) ).
thf(c_0_6,plain,
( one_one_nat
= ( suc @ zero_zero_nat ) ),
inference(split_conjunct,[status(thm)],[fact_1158_One__nat__def]) ).
thf(c_0_7,plain,
! [X173: nat] :
~ ( ord_less_eq_nat @ ( suc @ X173 ) @ X173 ),
inference(fof_simplification,[status(thm)],[fact_103_Suc__n__not__le__n]) ).
thf(c_0_8,plain,
ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg,
inference(split_conjunct,[status(thm)],[fact_2986_a0]) ).
thf(c_0_9,plain,
deg = one_one_nat,
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_10,plain,
! [X25627: nat] :
~ ( ord_less_eq_nat @ ( suc @ X25627 ) @ X25627 ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ one_one_nat,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,plain,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
inference(split_conjunct,[status(thm)],[fact_3212_Suc__1]) ).
thf(c_0_13,plain,
! [X3: nat] :
~ ( ord_less_eq_nat @ ( suc @ X3 ) @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP276^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n014.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 20:52:15 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 4.47/4.51 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.rGQ4gPUVcG/E---3.1_3195132.p
% 10.38/7.52 % Version: 3.5.1-ho
% 10.38/7.52 % partial match(3): HMLMSMSMSSLCHFA
% 10.38/7.52 % Preprocessing class: HMLLSLLMSSLCHFA.
% 10.38/7.52 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 10.38/7.52 % Starting new_ho_10 with 1495s (5) cores
% 10.38/7.52 % Starting sh5l with 299s (1) cores
% 10.38/7.52 % Starting new_bool_1 with 299s (1) cores
% 10.38/7.52 % Starting new_bool_2 with 299s (1) cores
% 10.38/7.52 % new_bool_2 with pid 3195148 completed with status 0
% 10.38/7.52 % Result found by new_bool_2
% 10.38/7.52 % partial match(3): HMLMSMSMSSLCHFA
% 10.38/7.52 % Preprocessing class: HMLLSLLMSSLCHFA.
% 10.38/7.52 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 10.38/7.52 % Starting new_ho_10 with 1495s (5) cores
% 10.38/7.52 % Starting sh5l with 299s (1) cores
% 10.38/7.52 % Starting new_bool_1 with 299s (1) cores
% 10.38/7.52 % Starting new_bool_2 with 299s (1) cores
% 10.38/7.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 10.38/7.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.38/7.52 % Search class: HGHSM-SMLM32-DHFFFFBN
% 10.38/7.52 % partial match(1): HGHSM-SMLM32-DHFFFSBN
% 10.38/7.52 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 10.38/7.52 % Starting SubtermCWHack with 30s (1) cores
% 10.38/7.52 % SubtermCWHack with pid 3195149 completed with status 0
% 10.38/7.52 % Result found by SubtermCWHack
% 10.38/7.52 % partial match(3): HMLMSMSMSSLCHFA
% 10.38/7.52 % Preprocessing class: HMLLSLLMSSLCHFA.
% 10.38/7.52 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 10.38/7.52 % Starting new_ho_10 with 1495s (5) cores
% 10.38/7.52 % Starting sh5l with 299s (1) cores
% 10.38/7.52 % Starting new_bool_1 with 299s (1) cores
% 10.38/7.52 % Starting new_bool_2 with 299s (1) cores
% 10.38/7.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 10.38/7.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.38/7.52 % Search class: HGHSM-SMLM32-DHFFFFBN
% 10.38/7.52 % partial match(1): HGHSM-SMLM32-DHFFFSBN
% 10.38/7.52 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 10.38/7.52 % Starting SubtermCWHack with 30s (1) cores
% 10.38/7.52 % Preprocessing time : 0.112 s
% 10.38/7.52
% 10.38/7.52 % Proof found!
% 10.38/7.52 % SZS status ContradictoryAxioms
% 10.38/7.52 % SZS output start CNFRefutation
% See solution above
% 10.38/7.52 % Parsed axioms : 11045
% 10.38/7.52 % Removed by relevancy pruning/SinE : 8568
% 10.38/7.52 % Initial clauses : 6998
% 10.38/7.52 % Removed in clause preprocessing : 1910
% 10.38/7.52 % Initial clauses in saturation : 5088
% 10.38/7.52 % Processed clauses : 303
% 10.38/7.52 % ...of these trivial : 55
% 10.38/7.52 % ...subsumed : 40
% 10.38/7.52 % ...remaining for further processing : 208
% 10.38/7.52 % Other redundant clauses eliminated : 12
% 10.38/7.52 % Clauses deleted for lack of memory : 0
% 10.38/7.52 % Backward-subsumed : 4
% 10.38/7.52 % Backward-rewritten : 6
% 10.38/7.52 % Generated clauses : 122
% 10.38/7.52 % ...of the previous two non-redundant : 54
% 10.38/7.52 % ...aggressively subsumed : 0
% 10.38/7.52 % Contextual simplify-reflections : 0
% 10.38/7.52 % Paramodulations : 97
% 10.38/7.52 % Factorizations : 0
% 10.38/7.52 % NegExts : 0
% 10.38/7.52 % Equation resolutions : 12
% 10.38/7.52 % Disequality decompositions : 0
% 10.38/7.52 % Total rewrite steps : 133
% 10.38/7.52 % ...of those cached : 73
% 10.38/7.52 % Propositional unsat checks : 0
% 10.38/7.52 % Propositional check models : 0
% 10.38/7.52 % Propositional check unsatisfiable : 0
% 10.38/7.52 % Propositional clauses : 0
% 10.38/7.52 % Propositional clauses after purity: 0
% 10.38/7.52 % Propositional unsat core size : 0
% 10.38/7.52 % Propositional preprocessing time : 0.000
% 10.38/7.52 % Propositional encoding time : 0.000
% 10.38/7.52 % Propositional solver time : 0.000
% 10.38/7.52 % Success case prop preproc time : 0.000
% 10.38/7.52 % Success case prop encoding time : 0.000
% 10.38/7.52 % Success case prop solver time : 0.000
% 10.38/7.52 % Current number of processed clauses : 186
% 10.38/7.52 % Positive orientable unit clauses : 122
% 10.38/7.52 % Positive unorientable unit clauses: 0
% 10.38/7.52 % Negative unit clauses : 51
% 10.38/7.52 % Non-unit-clauses : 13
% 10.38/7.52 % Current number of unprocessed clauses: 4839
% 10.38/7.52 % ...number of literals in the above : 18304
% 10.38/7.52 % Current number of archived formulas : 0
% 10.38/7.52 % Current number of archived clauses : 10
% 10.38/7.52 % Clause-clause subsumption calls (NU) : 39
% 10.38/7.52 % Rec. Clause-clause subsumption calls : 34
% 10.38/7.52 % Non-unit clause-clause subsumptions : 3
% 10.38/7.52 % Unit Clause-clause subsumption calls : 918
% 10.38/7.52 % Rewrite failures with RHS unbound : 0
% 10.38/7.52 % BW rewrite match attempts : 31
% 10.38/7.52 % BW rewrite match successes : 6
% 10.38/7.52 % Condensation attempts : 0
% 10.38/7.52 % Condensation successes : 0
% 10.38/7.52 % Termbank termtop insertions : 630511
% 10.38/7.52 % Search garbage collected termcells : 172117
% 10.38/7.52
% 10.38/7.52 % -------------------------------------------------
% 10.38/7.52 % User time : 1.344 s
% 10.38/7.52 % System time : 0.099 s
% 10.38/7.52 % Total time : 1.443 s
% 10.38/7.52 % Maximum resident set size: 44436 pages
% 10.38/7.52
% 10.38/7.52 % -------------------------------------------------
% 10.38/7.52 % User time : 2.822 s
% 10.38/7.52 % System time : 0.150 s
% 10.38/7.52 % Total time : 2.973 s
% 10.38/7.52 % Maximum resident set size: 29952 pages
% 10.38/7.52 % E exiting
%------------------------------------------------------------------------------