%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL809-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:16:29 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_lift__IT_0,axiom,
( ~ c_InductTermi_OIT(X1)
| c_InductTermi_OIT(c_Lambda_Olift(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__IT_0) ).
cnf(cls_CHAINED_0,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_0_3,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_4,plain,
( ~ c_InductTermi_OIT(X1)
| c_InductTermi_OIT(c_Lambda_Olift(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_lift__IT_0]) ).
cnf(c_0_5,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
c_0_3 ).
cnf(c_0_6,plain,
( ~ c_InductTermi_OIT(X1)
| c_InductTermi_OIT(c_Lambda_Olift(X1,X2)) ),
c_0_4 ).
cnf(c_0_7,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)),
cls_CHAINED_0 ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL809-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:07:58 UTC 2026
% 0.03/0.37 % CPUTime :
% 0.03/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.42 Running first-order theorem proving
% 0.03/0.42 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
% 0.19/0.47 % Version: 3.5.1
% 0.19/0.47 % Preprocessing class: FMLMSMSSSSSNFFN.
% 0.19/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 0.19/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.47 % Starting sh5l with 300s (1) cores
% 0.19/0.47 % new_bool_3 with pid 640988 completed with status 0
% 0.19/0.47 % Result found by new_bool_3
% 0.19/0.47 % Preprocessing class: FMLMSMSSSSSNFFN.
% 0.19/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 0.19/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.19/0.47 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.47 % SubtermCWHack with pid 640996 completed with status 0
% 0.19/0.47 % Result found by SubtermCWHack
% 0.19/0.47 % Preprocessing class: FMLMSMSSSSSNFFN.
% 0.19/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 0.19/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.19/0.47 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.47 % Preprocessing time : 0.006 s
% 0.19/0.47
% 0.19/0.47 % Proof found!
% 0.19/0.47 % SZS status Unsatisfiable
% 0.19/0.47 % SZS output start CNFRefutation
% See solution above
% 0.19/0.47 % Parsed axioms : 1239
% 0.19/0.47 % Removed by relevancy pruning/SinE : 824
% 0.19/0.47 % Initial clauses : 415
% 0.19/0.47 % Removed in clause preprocessing : 0
% 0.19/0.47 % Initial clauses in saturation : 415
% 0.19/0.47 % Processed clauses : 86
% 0.19/0.47 % ...of these trivial : 9
% 0.19/0.47 % ...subsumed : 19
% 0.19/0.47 % ...remaining for further processing : 58
% 0.19/0.47 % Other redundant clauses eliminated : 0
% 0.19/0.47 % Clauses deleted for lack of memory : 0
% 0.19/0.47 % Backward-subsumed : 0
% 0.19/0.47 % Backward-rewritten : 0
% 0.19/0.47 % Generated clauses : 50
% 0.19/0.47 % ...of the previous two non-redundant : 15
% 0.19/0.47 % ...aggressively subsumed : 0
% 0.19/0.47 % Contextual simplify-reflections : 0
% 0.19/0.47 % Paramodulations : 43
% 0.19/0.47 % Factorizations : 2
% 0.19/0.47 % NegExts : 0
% 0.19/0.47 % Equation resolutions : 5
% 0.19/0.47 % Disequality decompositions : 0
% 0.19/0.47 % Total rewrite steps : 44
% 0.19/0.47 % ...of those cached : 24
% 0.19/0.47 % Propositional unsat checks : 0
% 0.19/0.47 % Propositional check models : 0
% 0.19/0.47 % Propositional check unsatisfiable : 0
% 0.19/0.47 % Propositional clauses : 0
% 0.19/0.47 % Propositional clauses after purity: 0
% 0.19/0.47 % Propositional unsat core size : 0
% 0.19/0.47 % Propositional preprocessing time : 0.000
% 0.19/0.47 % Propositional encoding time : 0.000
% 0.19/0.47 % Propositional solver time : 0.000
% 0.19/0.47 % Success case prop preproc time : 0.000
% 0.19/0.47 % Success case prop encoding time : 0.000
% 0.19/0.47 % Success case prop solver time : 0.000
% 0.19/0.47 % Current number of processed clauses : 58
% 0.19/0.47 % Positive orientable unit clauses : 33
% 0.19/0.47 % Positive unorientable unit clauses: 0
% 0.19/0.47 % Negative unit clauses : 13
% 0.19/0.47 % Non-unit-clauses : 12
% 0.19/0.47 % Current number of unprocessed clauses: 344
% 0.19/0.47 % ...number of literals in the above : 1021
% 0.19/0.47 % Current number of archived formulas : 0
% 0.19/0.47 % Current number of archived clauses : 0
% 0.19/0.47 % Clause-clause subsumption calls (NU) : 29
% 0.19/0.47 % Rec. Clause-clause subsumption calls : 28
% 0.19/0.47 % Non-unit clause-clause subsumptions : 2
% 0.19/0.47 % Unit Clause-clause subsumption calls : 3
% 0.19/0.47 % Rewrite failures with RHS unbound : 0
% 0.19/0.47 % BW rewrite match attempts : 2
% 0.19/0.47 % BW rewrite match successes : 0
% 0.19/0.47 % Condensation attempts : 0
% 0.19/0.47 % Condensation successes : 0
% 0.19/0.47 % Termbank termtop insertions : 23795
% 0.19/0.47 % Search garbage collected termcells : 3608
% 0.19/0.47
% 0.19/0.47 % -------------------------------------------------
% 0.19/0.47 % User time : 0.018 s
% 0.19/0.47 % System time : 0.006 s
% 0.19/0.47 % Total time : 0.024 s
% 0.19/0.47 % Maximum resident set size: 5192 pages
% 0.19/0.47
% 0.19/0.47 % -------------------------------------------------
% 0.19/0.47 % User time : 0.034 s
% 0.19/0.47 % System time : 0.010 s
% 0.19/0.47 % Total time : 0.044 s
% 0.19/0.47 % Maximum resident set size: 5632 pages
% 0.19/0.47 % E exiting
%------------------------------------------------------------------------------