%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP224_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 : Thu Sep 24 12:54:42 PM UTC 2026
% Result : ContradictoryAxioms 8.93s 3.85s
% Output : CNFRefutation 8.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 20 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 5 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_nat_bool: $tType ).
tff(decl_sort2,type,
fun_nat_nat: $tType ).
tff(decl_sort3,type,
nat: $tType ).
tff(decl_sort4,type,
fun_nat_fun_nat_nat: $tType ).
tff(decl_sort5,type,
bool: $tType ).
tff(decl_sort6,type,
vEBT_VEBT: $tType ).
tff(decl_865,type,
plus_plus_nat: fun_nat_fun_nat_nat ).
tff(decl_892,type,
zero_zero_nat: nat ).
tff(decl_1440,type,
vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).
tff(decl_1520,type,
aa_nat_bool: ( nat * fun_nat_bool ) > bool ).
tff(decl_1522,type,
aa_nat_nat: ( nat * fun_nat_nat ) > nat ).
tff(decl_1542,type,
aa_nat_fun_nat_nat: ( nat * fun_nat_fun_nat_nat ) > fun_nat_nat ).
tff(decl_1739,type,
pp: bool > $o ).
tff(decl_1740,type,
deg: nat ).
tff(decl_1742,type,
m: nat ).
tff(decl_1744,type,
na: nat ).
tff(decl_1745,type,
summary: vEBT_VEBT ).
tff(fact_72_zero__eq__add__iff__both__eq__0,axiom,
! [X98: nat,X99: nat] :
( ( zero_zero_nat = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X98),X99) )
<=> ( ( X99 = zero_zero_nat )
& ( X98 = zero_zero_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_zero__eq__add__iff__both__eq__0) ).
tff(conj_6,hypothesis,
deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
tff(conj_1,hypothesis,
zero_zero_nat = deg,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(conj_5,hypothesis,
m = na,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
tff(fact_0_Node_OIH_I2_J,axiom,
~ pp(aa_nat_bool(vEBT_invar_vebt(summary),zero_zero_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Node_OIH_I2_J) ).
tff(conj_3,hypothesis,
pp(aa_nat_bool(vEBT_invar_vebt(summary),m)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
tff(c_0_6,plain,
! [X16012: nat,X16013: nat] :
( ( ( zero_zero_nat = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X16012),X16013) )
| ( X16013 != zero_zero_nat )
| ( X16012 != zero_zero_nat ) )
& ( ( zero_zero_nat != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X16012),X16013) )
| ( X16013 = zero_zero_nat ) )
& ( ( zero_zero_nat != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X16012),X16013) )
| ( X16012 = zero_zero_nat ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_72_zero__eq__add__iff__both__eq__0])])])]) ).
tcf(c_0_7,hypothesis,
deg = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,na),m),
inference(split_conjunct,[status(thm)],[conj_6]) ).
tcf(c_0_8,hypothesis,
zero_zero_nat = deg,
inference(split_conjunct,[status(thm)],[conj_1]) ).
tcf(c_0_9,hypothesis,
m = na,
inference(split_conjunct,[status(thm)],[conj_5]) ).
tff(c_0_10,plain,
~ pp(aa_nat_bool(vEBT_invar_vebt(summary),zero_zero_nat)),
inference(fof_simplification,[status(thm)],[fact_0_Node_OIH_I2_J]) ).
tcf(c_0_11,plain,
! [X15: nat,X3: nat] :
( ( zero_zero_nat != aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X15),X3) )
| ( X3 = zero_zero_nat ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_12,hypothesis,
aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,m),m) = zero_zero_nat,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
tff(c_0_13,plain,
~ pp(aa_nat_bool(vEBT_invar_vebt(summary),zero_zero_nat)),
inference(fof_nnf,[status(thm)],[c_0_10]) ).
tcf(c_0_14,hypothesis,
pp(aa_nat_bool(vEBT_invar_vebt(summary),m)),
inference(split_conjunct,[status(thm)],[conj_3]) ).
tcf(c_0_15,hypothesis,
m = zero_zero_nat,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
tcf(c_0_16,plain,
~ pp(aa_nat_bool(vEBT_invar_vebt(summary),zero_zero_nat)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP224_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 22:11:20 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.93/3.85 % Version: 3.5.1
% 8.93/3.85 % Preprocessing class: FMLLSMLLSSSNFFN.
% 8.93/3.85 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 8.93/3.85 % Starting new_bool_3 with 897s (3) cores
% 8.93/3.85 % Starting new_bool_1 with 897s (3) cores
% 8.93/3.85 % Starting sh5l with 299s (1) cores
% 8.93/3.85 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 8.93/3.85 % new_bool_1 with pid 2460498 completed with status 0
% 8.93/3.85 % Result found by new_bool_1
% 8.93/3.85 % Preprocessing class: FMLLSMLLSSSNFFN.
% 8.93/3.85 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 8.93/3.85 % Starting new_bool_3 with 897s (3) cores
% 8.93/3.85 % Starting new_bool_1 with 897s (3) cores
% 8.93/3.85 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 8.93/3.85 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.93/3.85 % Search class: FGHSM-SMLM32-DFFFFFNN
% 8.93/3.85 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 8.93/3.85 % Starting SubtermCWHack with 81s (1) cores
% 8.93/3.85 % Starting new_bool_1 with 90s (1) cores
% 8.93/3.85 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 8.93/3.85 % SubtermCWHack with pid 2460501 completed with status 0
% 8.93/3.85 % Result found by SubtermCWHack
% 8.93/3.85 % Preprocessing class: FMLLSMLLSSSNFFN.
% 8.93/3.85 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 8.93/3.85 % Starting new_bool_3 with 897s (3) cores
% 8.93/3.85 % Starting new_bool_1 with 897s (3) cores
% 8.93/3.85 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 8.93/3.85 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.93/3.85 % Search class: FGHSM-SMLM32-DFFFFFNN
% 8.93/3.85 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 8.93/3.85 % Starting SubtermCWHack with 81s (1) cores
% 8.93/3.85 % Preprocessing time : 0.109 s
% 8.93/3.85
% 8.93/3.85 % Proof found!
% 8.93/3.85 % SZS status ContradictoryAxioms
% 8.93/3.85 % SZS output start CNFRefutation
% See solution above
% 8.93/3.85 % Parsed axioms : 12950
% 8.93/3.85 % Removed by relevancy pruning/SinE : 9013
% 8.93/3.85 % Initial clauses : 8160
% 8.93/3.85 % Removed in clause preprocessing : 350
% 8.93/3.85 % Initial clauses in saturation : 7810
% 8.93/3.85 % Processed clauses : 1269
% 8.93/3.85 % ...of these trivial : 146
% 8.93/3.85 % ...subsumed : 354
% 8.93/3.85 % ...remaining for further processing : 769
% 8.93/3.85 % Other redundant clauses eliminated : 277
% 8.93/3.85 % Clauses deleted for lack of memory : 0
% 8.93/3.85 % Backward-subsumed : 9
% 8.93/3.85 % Backward-rewritten : 34
% 8.93/3.85 % Generated clauses : 1314
% 8.93/3.85 % ...of the previous two non-redundant : 618
% 8.93/3.85 % ...aggressively subsumed : 0
% 8.93/3.85 % Contextual simplify-reflections : 0
% 8.93/3.85 % Paramodulations : 1027
% 8.93/3.85 % Factorizations : 0
% 8.93/3.85 % NegExts : 0
% 8.93/3.85 % Equation resolutions : 293
% 8.93/3.85 % Disequality decompositions : 0
% 8.93/3.85 % Total rewrite steps : 1056
% 8.93/3.85 % ...of those cached : 765
% 8.93/3.85 % Propositional unsat checks : 0
% 8.93/3.85 % Propositional check models : 0
% 8.93/3.85 % Propositional check unsatisfiable : 0
% 8.93/3.85 % Propositional clauses : 0
% 8.93/3.85 % Propositional clauses after purity: 0
% 8.93/3.85 % Propositional unsat core size : 0
% 8.93/3.85 % Propositional preprocessing time : 0.000
% 8.93/3.85 % Propositional encoding time : 0.000
% 8.93/3.85 % Propositional solver time : 0.000
% 8.93/3.85 % Success case prop preproc time : 0.000
% 8.93/3.85 % Success case prop encoding time : 0.000
% 8.93/3.85 % Success case prop solver time : 0.000
% 8.93/3.85 % Current number of processed clauses : 490
% 8.93/3.85 % Positive orientable unit clauses : 265
% 8.93/3.85 % Positive unorientable unit clauses: 2
% 8.93/3.85 % Negative unit clauses : 119
% 8.93/3.85 % Non-unit-clauses : 104
% 8.93/3.85 % Current number of unprocessed clauses: 7144
% 8.93/3.85 % ...number of literals in the above : 27114
% 8.93/3.85 % Current number of archived formulas : 0
% 8.93/3.85 % Current number of archived clauses : 43
% 8.93/3.85 % Clause-clause subsumption calls (NU) : 4877
% 8.93/3.85 % Rec. Clause-clause subsumption calls : 3251
% 8.93/3.85 % Non-unit clause-clause subsumptions : 163
% 8.93/3.85 % Unit Clause-clause subsumption calls : 679
% 8.93/3.85 % Rewrite failures with RHS unbound : 0
% 8.93/3.85 % BW rewrite match attempts : 429
% 8.93/3.85 % BW rewrite match successes : 49
% 8.93/3.85 % Condensation attempts : 0
% 8.93/3.85 % Condensation successes : 0
% 8.93/3.85 % Termbank termtop insertions : 965377
% 8.93/3.85 % Search garbage collected termcells : 171119
% 8.93/3.85
% 8.93/3.85 % -------------------------------------------------
% 8.93/3.85 % User time : 1.709 s
% 8.93/3.85 % System time : 0.102 s
% 8.93/3.85 % Total time : 1.811 s
% 8.93/3.85 % Maximum resident set size: 47592 pages
% 8.93/3.85
% 8.93/3.85 % -------------------------------------------------
% 8.93/3.85 % User time : 3.426 s
% 8.93/3.85 % System time : 0.253 s
% 8.93/3.85 % Total time : 3.679 s
% 8.93/3.85 % Maximum resident set size: 29440 pages
% 8.93/3.85 % E exiting
%------------------------------------------------------------------------------