%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL762-1 : 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 : n005.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 01:16:21 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.57s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-5 aty)
% Number of variables : 8 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_foldl__Nil_0,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).
cnf(c_0_3,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_4,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
cls_conjecture_0 ).
cnf(c_0_5,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
cls_foldl__Nil_0 ).
cnf(c_0_6,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
c_0_3 ).
cnf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL762-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n005.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 01:02:03 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.51 Running first-order theorem proving
% 0.27/0.51 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
% 0.27/0.57 % Version: 3.5.1
% 0.27/0.57 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.27/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.57 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.27/0.57 % Starting new_bool_3 with 600s (2) cores
% 0.27/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.57 % Starting sh5l with 300s (1) cores
% 0.27/0.57 % new_bool_3 with pid 2203616 completed with status 0
% 0.27/0.57 % Result found by new_bool_3
% 0.27/0.57 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.27/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.57 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.27/0.57 % Starting new_bool_3 with 600s (2) cores
% 0.27/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.57 % Search class: FGUSM-FFLF32-MFFFFFNN
% 0.27/0.57 % partial match(2): FGHSM-FFMF32-MFFFFFNN
% 0.27/0.57 % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.27/0.57 % Starting SubtermCWHack with 61s (1) cores
% 0.27/0.57 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S038I with 361s (1) cores
% 0.27/0.57 % SubtermCWHack with pid 2203619 completed with status 0
% 0.27/0.57 % Result found by SubtermCWHack
% 0.27/0.57 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.27/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.57 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.27/0.57 % Starting new_bool_3 with 600s (2) cores
% 0.27/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.57 % Search class: FGUSM-FFLF32-MFFFFFNN
% 0.27/0.57 % partial match(2): FGHSM-FFMF32-MFFFFFNN
% 0.27/0.57 % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.27/0.57 % Starting SubtermCWHack with 61s (1) cores
% 0.27/0.57 % Preprocessing time : 0.002 s
% 0.27/0.57
% 0.27/0.57 % Proof found!
% 0.27/0.57 % SZS status Unsatisfiable
% 0.27/0.57 % SZS output start CNFRefutation
% See solution above
% 0.27/0.57 % Parsed axioms : 422
% 0.27/0.57 % Removed by relevancy pruning/SinE : 310
% 0.27/0.57 % Initial clauses : 112
% 0.27/0.57 % Removed in clause preprocessing : 0
% 0.27/0.57 % Initial clauses in saturation : 112
% 0.27/0.57 % Processed clauses : 51
% 0.27/0.57 % ...of these trivial : 10
% 0.27/0.57 % ...subsumed : 16
% 0.27/0.57 % ...remaining for further processing : 24
% 0.27/0.57 % Other redundant clauses eliminated : 0
% 0.27/0.57 % Clauses deleted for lack of memory : 0
% 0.27/0.57 % Backward-subsumed : 0
% 0.27/0.57 % Backward-rewritten : 0
% 0.27/0.57 % Generated clauses : 12
% 0.27/0.57 % ...of the previous two non-redundant : 2
% 0.27/0.57 % ...aggressively subsumed : 0
% 0.27/0.57 % Contextual simplify-reflections : 0
% 0.27/0.57 % Paramodulations : 8
% 0.27/0.57 % Factorizations : 2
% 0.27/0.57 % NegExts : 0
% 0.27/0.57 % Equation resolutions : 2
% 0.27/0.57 % Disequality decompositions : 0
% 0.27/0.57 % Total rewrite steps : 13
% 0.27/0.57 % ...of those cached : 3
% 0.27/0.57 % Propositional unsat checks : 0
% 0.27/0.57 % Propositional check models : 0
% 0.27/0.57 % Propositional check unsatisfiable : 0
% 0.27/0.57 % Propositional clauses : 0
% 0.27/0.57 % Propositional clauses after purity: 0
% 0.27/0.57 % Propositional unsat core size : 0
% 0.27/0.57 % Propositional preprocessing time : 0.000
% 0.27/0.57 % Propositional encoding time : 0.000
% 0.27/0.57 % Propositional solver time : 0.000
% 0.27/0.57 % Success case prop preproc time : 0.000
% 0.27/0.57 % Success case prop encoding time : 0.000
% 0.27/0.57 % Success case prop solver time : 0.000
% 0.27/0.57 % Current number of processed clauses : 24
% 0.27/0.57 % Positive orientable unit clauses : 6
% 0.27/0.57 % Positive unorientable unit clauses: 0
% 0.27/0.57 % Negative unit clauses : 9
% 0.27/0.57 % Non-unit-clauses : 9
% 0.27/0.57 % Current number of unprocessed clauses: 63
% 0.27/0.57 % ...number of literals in the above : 117
% 0.27/0.57 % Current number of archived formulas : 0
% 0.27/0.57 % Current number of archived clauses : 0
% 0.27/0.57 % Clause-clause subsumption calls (NU) : 21
% 0.27/0.57 % Rec. Clause-clause subsumption calls : 17
% 0.27/0.57 % Non-unit clause-clause subsumptions : 7
% 0.27/0.57 % Unit Clause-clause subsumption calls : 6
% 0.27/0.57 % Rewrite failures with RHS unbound : 0
% 0.27/0.57 % BW rewrite match attempts : 1
% 0.27/0.57 % BW rewrite match successes : 0
% 0.27/0.57 % Condensation attempts : 0
% 0.27/0.57 % Condensation successes : 0
% 0.27/0.57 % Termbank termtop insertions : 5867
% 0.27/0.57 % Search garbage collected termcells : 1547
% 0.27/0.57
% 0.27/0.57 % -------------------------------------------------
% 0.27/0.57 % User time : 0.006 s
% 0.27/0.57 % System time : 0.006 s
% 0.27/0.57 % Total time : 0.012 s
% 0.27/0.57 % Maximum resident set size: 4236 pages
% 0.27/0.57
% 0.27/0.57 % -------------------------------------------------
% 0.27/0.57 % User time : 0.031 s
% 0.27/0.57 % System time : 0.013 s
% 0.27/0.57 % Total time : 0.044 s
% 0.27/0.57 % Maximum resident set size: 5120 pages
% 0.27/0.57 % E exiting
%------------------------------------------------------------------------------