%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP058^1 : 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 0.50s 0.42s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 48 ( 4 ~; 0 |; 0 &; 44 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 4 ( 4 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
config256849571t_unit: $tType ).
thf(decl_sort3,type,
list_c1059388851t_unit: $tType ).
thf(decl_sort4,type,
list_message_p_v: $tType ).
thf(decl_24,type,
fLPThe1519354920_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_c1059388851t_unit ).
thf(decl_27,type,
zero_zero_nat: nat ).
thf(decl_38,type,
cons_c1162654829t_unit: config256849571t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(decl_44,type,
nil_co1338500125t_unit: list_c1059388851t_unit ).
thf(decl_82,type,
cfg: config256849571t_unit ).
thf(decl_83,type,
fStepCfg: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(decl_84,type,
fStepMsg: list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(decl_85,type,
fe: nat > list_c1059388851t_unit ).
thf(conj_0,conjecture,
( ( fe @ zero_zero_nat )
= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
file('/export/starexec/sandbox2/tmp/tmp.pADCfAmmf0/E---3.1_1499480.p',conj_0) ).
thf(fact_1_fe__def,axiom,
( fe
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg ) ),
file('/export/starexec/sandbox2/tmp/tmp.pADCfAmmf0/E---3.1_1499480.p',fact_1_fe__def) ).
thf(fact_2_infiniteExecutionCfg_Osimps_I1_J,axiom,
! [X1: config256849571t_unit,X2: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X3: list_c1059388851t_unit > list_message_p_v > list_message_p_v] :
( ( fLPThe1519354920_p_v_s @ X1 @ X2 @ X3 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ X1 @ nil_co1338500125t_unit ) ),
file('/export/starexec/sandbox2/tmp/tmp.pADCfAmmf0/E---3.1_1499480.p',fact_2_infiniteExecutionCfg_Osimps_I1_J) ).
thf(c_0_3,negated_conjecture,
( ( fe @ zero_zero_nat )
!= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
( ( fe @ zero_zero_nat )
!= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
( fe
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg ) ),
inference(split_conjunct,[status(thm)],[fact_1_fe__def]) ).
thf(c_0_6,plain,
! [X2625: config256849571t_unit,X2626: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X2627: list_c1059388851t_unit > list_message_p_v > list_message_p_v] :
( ( fLPThe1519354920_p_v_s @ X2625 @ X2626 @ X2627 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ X2625 @ nil_co1338500125t_unit ) ),
inference(variable_rename,[status(thm)],[fact_2_infiniteExecutionCfg_Osimps_I1_J]) ).
thf(c_0_7,negated_conjecture,
( ( fe @ zero_zero_nat )
!= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X12: nat] :
( ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ X12 )
= ( fe @ X12 ) ),
inference(arg_cong,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X3: list_c1059388851t_unit > list_message_p_v > list_message_p_v,X2: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X1: config256849571t_unit] :
( ( fLPThe1519354920_p_v_s @ X1 @ X2 @ X3 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ X1 @ nil_co1338500125t_unit ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
( ( fe @ zero_zero_nat )
!= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP058^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n020.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 19:45:34 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.25 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.pADCfAmmf0/E---3.1_1499480.p
% 0.50/0.42 % Version: 3.5.1-ho
% 0.50/0.42 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.50/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.42 % Starting new_ho_10 with 1500s (5) cores
% 0.50/0.42 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.50/0.42 % Starting full_lambda_6 with 300s (1) cores
% 0.50/0.42 % Starting full_lambda_9 with 300s (1) cores
% 0.50/0.42 % full_lambda_9 with pid 1499496 completed with status 0
% 0.50/0.42 % Result found by full_lambda_9
% 0.50/0.42 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.50/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.42 % Starting new_ho_10 with 1500s (5) cores
% 0.50/0.42 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.50/0.42 % Starting full_lambda_6 with 300s (1) cores
% 0.50/0.42 % Starting full_lambda_9 with 300s (1) cores
% 0.50/0.42 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.50/0.42 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.50/0.42 % Search class: HGHSM-FSLS31-DHFFFMBN
% 0.50/0.42 % partial match(2): HGHSM-FSLM31-DHFFFSBN
% 0.50/0.42 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.50/0.42 % Starting SubtermCWHack with 28s (1) cores
% 0.50/0.42 % SubtermCWHack with pid 1499497 completed with status 0
% 0.50/0.42 % Result found by SubtermCWHack
% 0.50/0.42 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.50/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.42 % Starting new_ho_10 with 1500s (5) cores
% 0.50/0.42 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.50/0.42 % Starting full_lambda_6 with 300s (1) cores
% 0.50/0.42 % Starting full_lambda_9 with 300s (1) cores
% 0.50/0.42 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.50/0.42 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.50/0.42 % Search class: HGHSM-FSLS31-DHFFFMBN
% 0.50/0.42 % partial match(2): HGHSM-FSLM31-DHFFFSBN
% 0.50/0.42 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.50/0.42 % Starting SubtermCWHack with 28s (1) cores
% 0.50/0.42 % Preprocessing time : 0.009 s
% 0.50/0.42
% 0.50/0.42 % Proof found!
% 0.50/0.42 % SZS status Theorem
% 0.50/0.42 % SZS output start CNFRefutation
% See solution above
% 0.50/0.42 % Parsed axioms : 419
% 0.50/0.42 % Removed by relevancy pruning/SinE : 218
% 0.50/0.42 % Initial clauses : 436
% 0.50/0.42 % Removed in clause preprocessing : 9
% 0.50/0.42 % Initial clauses in saturation : 427
% 0.50/0.42 % Processed clauses : 998
% 0.50/0.42 % ...of these trivial : 61
% 0.50/0.42 % ...subsumed : 579
% 0.50/0.42 % ...remaining for further processing : 358
% 0.50/0.42 % Other redundant clauses eliminated : 123
% 0.50/0.42 % Clauses deleted for lack of memory : 0
% 0.50/0.42 % Backward-subsumed : 5
% 0.50/0.42 % Backward-rewritten : 3
% 0.50/0.42 % Generated clauses : 4316
% 0.50/0.42 % ...of the previous two non-redundant : 3724
% 0.50/0.42 % ...aggressively subsumed : 0
% 0.50/0.42 % Contextual simplify-reflections : 1
% 0.50/0.42 % Paramodulations : 4178
% 0.50/0.42 % Factorizations : 4
% 0.50/0.42 % NegExts : 0
% 0.50/0.42 % Equation resolutions : 132
% 0.50/0.42 % Disequality decompositions : 0
% 0.50/0.42 % Total rewrite steps : 701
% 0.50/0.42 % ...of those cached : 571
% 0.50/0.42 % Propositional unsat checks : 0
% 0.50/0.42 % Propositional check models : 0
% 0.50/0.42 % Propositional check unsatisfiable : 0
% 0.50/0.42 % Propositional clauses : 0
% 0.50/0.42 % Propositional clauses after purity: 0
% 0.50/0.42 % Propositional unsat core size : 0
% 0.50/0.42 % Propositional preprocessing time : 0.000
% 0.50/0.42 % Propositional encoding time : 0.000
% 0.50/0.42 % Propositional solver time : 0.000
% 0.50/0.42 % Success case prop preproc time : 0.000
% 0.50/0.42 % Success case prop encoding time : 0.000
% 0.50/0.42 % Success case prop solver time : 0.000
% 0.50/0.42 % Current number of processed clauses : 323
% 0.50/0.42 % Positive orientable unit clauses : 64
% 0.50/0.42 % Positive unorientable unit clauses: 1
% 0.50/0.42 % Negative unit clauses : 39
% 0.50/0.42 % Non-unit-clauses : 219
% 0.50/0.42 % Current number of unprocessed clauses: 3054
% 0.50/0.42 % ...number of literals in the above : 8869
% 0.50/0.42 % Current number of archived formulas : 0
% 0.50/0.42 % Current number of archived clauses : 8
% 0.50/0.42 % Clause-clause subsumption calls (NU) : 15411
% 0.50/0.42 % Rec. Clause-clause subsumption calls : 12296
% 0.50/0.42 % Non-unit clause-clause subsumptions : 221
% 0.50/0.42 % Unit Clause-clause subsumption calls : 1534
% 0.50/0.42 % Rewrite failures with RHS unbound : 0
% 0.50/0.42 % BW rewrite match attempts : 47
% 0.50/0.42 % BW rewrite match successes : 7
% 0.50/0.42 % Condensation attempts : 0
% 0.50/0.42 % Condensation successes : 0
% 0.50/0.42 % Termbank termtop insertions : 88746
% 0.50/0.42 % Search garbage collected termcells : 16984
% 0.50/0.42
% 0.50/0.42 % -------------------------------------------------
% 0.50/0.42 % User time : 0.107 s
% 0.50/0.42 % System time : 0.012 s
% 0.50/0.42 % Total time : 0.119 s
% 0.50/0.42 % Maximum resident set size: 7052 pages
% 0.50/0.42
% 0.50/0.42 % -------------------------------------------------
% 0.50/0.42 % User time : 0.124 s
% 0.50/0.42 % System time : 0.021 s
% 0.50/0.42 % Total time : 0.145 s
% 0.50/0.42 % Maximum resident set size: 6144 pages
% 0.50/0.42 % E exiting
%------------------------------------------------------------------------------