0.00/0.02	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.08/0.34	% Computer : n016.cluster.edu
0.08/0.34	% Model    : x86_64 x86_64
0.08/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.34	% Memory   : 8046.5625MB
0.08/0.34	% OS       : Linux 6.8.0-71-generic
0.08/0.34	% CPULimit : 1440
0.08/0.34	% WCLimit  : 180
0.08/0.34	% DateTime : Mon Jul 27 10:08:07 UTC 2026
0.08/0.35	% CPUTime  : 
0.08/0.35	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.14/0.39	Running first-order theorem proving
0.14/0.39	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=180 /export/starexec/sandbox/benchmark/theBenchmark.p
0.14/0.42	% Version: 3.5.1
0.14/0.42	% Preprocessing class: FSMSSMSSSSSNFFN.
0.14/0.42	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.14/0.42	% Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores
0.14/0.42	% Starting new_bool_3 with 180s (1) cores
0.14/0.42	% Starting new_bool_1 with 180s (1) cores
0.14/0.42	% Starting sh5l with 180s (1) cores
0.14/0.42	% G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1138285 completed with status 0
0.14/0.42	% Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
0.14/0.42	% Preprocessing class: FSMSSMSSSSSNFFN.
0.14/0.42	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.14/0.42	% Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores
0.14/0.42	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.14/0.42	% No SInE strategy applied
0.14/0.42	% Search class: FGHSM-FFMF31-SFFFFFNN
0.14/0.42	% partial match(1): FGHSM-FFMM31-SFFFFFNN
0.14/0.42	% Scheduled 11 strats onto 5 cores with 900 seconds (900 total)
0.14/0.42	% Starting SubtermCWHack with 82s (1) cores
0.14/0.42	% Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
0.14/0.42	% Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 82s (1) cores
0.14/0.42	% Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 82s (1) cores
0.14/0.42	% Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
0.14/0.42	% SubtermCWHack with pid 1138291 completed with status 0
0.14/0.42	% Result found by SubtermCWHack
0.14/0.42	% Preprocessing class: FSMSSMSSSSSNFFN.
0.14/0.42	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.14/0.42	% Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores
0.14/0.42	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.14/0.42	% No SInE strategy applied
0.14/0.42	% Search class: FGHSM-FFMF31-SFFFFFNN
0.14/0.42	% partial match(1): FGHSM-FFMM31-SFFFFFNN
0.14/0.42	% Scheduled 11 strats onto 5 cores with 900 seconds (900 total)
0.14/0.42	% Starting SubtermCWHack with 82s (1) cores
0.14/0.42	% Preprocessing time       : 0.002 s
0.14/0.42	
0.14/0.42	% Proof found!
0.14/0.42	% SZS status Theorem
0.14/0.42	% SZS output start CNFRefutation
0.14/0.42	fof(goal_036, conjecture, ?[X9]:((nf(X9)&tc(nil,X9,arr(a,arr(b,b))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goal_036)).
0.14/0.42	fof(axiom_033, axiom, ![X1, X9, X13, X14]:((tc(cons(X13,X1),X9,X14)<=>tc(X1,lam(X9),arr(X13,X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_033)).
0.14/0.42	fof(axiom_035, axiom, ![X1, X5, X3, X6]:(((tc(X1,var(X3),X5)<=>X6=X5)<=just(X6)=index(X1,X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_035)).
0.14/0.42	fof(axiom_029, axiom, ![X5, X7]:(just(X5)=index(cons(X5,X7),zero)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_029)).
0.14/0.42	fof(axiom_026, axiom, ![X9]:((nf(X9)<=>nf(lam(X9)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_026)).
0.14/0.42	fof(axiom_027, axiom, ![X4]:(nf(var(X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_027)).
0.14/0.42	fof(c_0_6, negated_conjecture, ~(?[X9]:((nf(X9)&tc(nil,X9,arr(a,arr(b,b)))))), inference(assume_negation,[status(cth)],[goal_036])).
0.14/0.42	fof(c_0_7, negated_conjecture, ![X71]:((~nf(X71)|~tc(nil,X71,arr(a,arr(b,b))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
0.14/0.42	fof(c_0_8, plain, ![X64, X65, X66, X67]:(((~tc(cons(X66,X64),X65,X67)|tc(X64,lam(X65),arr(X66,X67)))&(~tc(X64,lam(X65),arr(X66,X67))|tc(cons(X66,X64),X65,X67)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_033])])])).
0.14/0.42	fof(c_0_9, plain, ![X1, X5, X3, X6]:((just(X6)=index(X1,X3)=>(tc(X1,var(X3),X5)<=>X6=X5))), inference(fof_simplification,[status(thm)],[axiom_035])).
0.14/0.42	cnf(c_0_10, negated_conjecture, (~nf(X1)|~tc(nil,X1,arr(a,arr(b,b)))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.14/0.42	cnf(c_0_11, plain, (tc(X2,lam(X3),arr(X1,X4))|~tc(cons(X1,X2),X3,X4)), inference(split_conjunct,[status(thm)],[c_0_8])).
0.14/0.42	fof(c_0_12, plain, ![X19, X20, X21, X22]:(((~tc(X19,var(X21),X20)|X22=X20|just(X22)!=index(X19,X21))&(X22!=X20|tc(X19,var(X21),X20)|just(X22)!=index(X19,X21)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])).
0.14/0.42	cnf(c_0_13, negated_conjecture, (~nf(lam(X1))|~tc(cons(a,nil),X1,arr(b,b))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
0.14/0.42	cnf(c_0_14, plain, (tc(X3,var(X4),X2)|X1!=X2|just(X1)!=index(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_12])).
0.14/0.42	cnf(c_0_15, negated_conjecture, (~nf(lam(lam(X1)))|~tc(cons(b,cons(a,nil)),X1,b)), inference(spm,[status(thm)],[c_0_13, c_0_11])).
0.14/0.42	cnf(c_0_16, plain, (tc(X1,var(X2),X3)|just(X3)!=index(X1,X2)), inference(er,[status(thm)],[c_0_14])).
0.14/0.42	fof(c_0_17, plain, ![X83, X84]:(just(X83)=index(cons(X83,X84),zero)), inference(variable_rename,[status(thm)],[axiom_029])).
0.14/0.42	cnf(c_0_18, negated_conjecture, (index(cons(b,cons(a,nil)),X1)!=just(b)|~nf(lam(lam(var(X1))))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
0.14/0.42	cnf(c_0_19, plain, (just(X1)=index(cons(X1,X2),zero)), inference(split_conjunct,[status(thm)],[c_0_17])).
0.14/0.42	fof(c_0_20, plain, ![X37]:(((~nf(X37)|nf(lam(X37)))&(~nf(lam(X37))|nf(X37)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_026])])])).
0.14/0.42	cnf(c_0_21, negated_conjecture, (~nf(lam(lam(var(zero))))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
0.14/0.42	cnf(c_0_22, plain, (nf(lam(X1))|~nf(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
0.14/0.42	fof(c_0_23, plain, ![X43]:(nf(var(X43))), inference(variable_rename,[status(thm)],[axiom_027])).
0.14/0.42	cnf(c_0_24, negated_conjecture, (~nf(lam(var(zero)))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
0.14/0.42	cnf(c_0_25, plain, (nf(var(X1))), inference(split_conjunct,[status(thm)],[c_0_23])).
0.14/0.42	cnf(c_0_26, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_22]), c_0_25])]), ['proof']).
0.14/0.42	% SZS output end CNFRefutation
0.14/0.42	% Parsed axioms                        : 36
0.14/0.42	% Removed by relevancy pruning/SinE    : 0
0.14/0.42	% Initial clauses                      : 43
0.14/0.42	% Removed in clause preprocessing      : 0
0.14/0.42	% Initial clauses in saturation        : 43
0.14/0.42	% Processed clauses                    : 62
0.14/0.42	% ...of these trivial                  : 0
0.14/0.42	% ...subsumed                          : 6
0.14/0.42	% ...remaining for further processing  : 56
0.14/0.42	% Other redundant clauses eliminated   : 1
0.14/0.42	% Clauses deleted for lack of memory   : 0
0.14/0.42	% Backward-subsumed                    : 1
0.14/0.42	% Backward-rewritten                   : 0
0.14/0.42	% Generated clauses                    : 36
0.14/0.42	% ...of the previous two non-redundant : 26
0.14/0.42	% ...aggressively subsumed             : 0
0.14/0.42	% Contextual simplify-reflections      : 0
0.14/0.42	% Paramodulations                      : 33
0.14/0.42	% Factorizations                       : 0
0.14/0.42	% NegExts                              : 0
0.14/0.42	% Equation resolutions                 : 3
0.14/0.42	% Disequality decompositions           : 0
0.14/0.42	% Total rewrite steps                  : 8
0.14/0.42	% ...of those cached                   : 1
0.14/0.42	% Propositional unsat checks           : 0
0.14/0.42	%    Propositional check models        : 0
0.14/0.42	%    Propositional check unsatisfiable : 0
0.14/0.42	%    Propositional clauses             : 0
0.14/0.42	%    Propositional clauses after purity: 0
0.14/0.42	%    Propositional unsat core size     : 0
0.14/0.42	%    Propositional preprocessing time  : 0.000
0.14/0.42	%    Propositional encoding time       : 0.000
0.14/0.42	%    Propositional solver time         : 0.000
0.14/0.42	%    Success case prop preproc time    : 0.000
0.14/0.42	%    Success case prop encoding time   : 0.000
0.14/0.42	%    Success case prop solver time     : 0.000
0.14/0.42	% Current number of processed clauses  : 54
0.14/0.42	%    Positive orientable unit clauses  : 15
0.14/0.42	%    Positive unorientable unit clauses: 0
0.14/0.42	%    Negative unit clauses             : 15
0.14/0.42	%    Non-unit-clauses                  : 24
0.14/0.42	% Current number of unprocessed clauses: 7
0.14/0.42	% ...number of literals in the above   : 23
0.14/0.42	% Current number of archived formulas  : 0
0.14/0.42	% Current number of archived clauses   : 1
0.14/0.42	% Clause-clause subsumption calls (NU) : 24
0.14/0.42	% Rec. Clause-clause subsumption calls : 18
0.14/0.42	% Non-unit clause-clause subsumptions  : 1
0.14/0.42	% Unit Clause-clause subsumption calls : 32
0.14/0.42	% Rewrite failures with RHS unbound    : 0
0.14/0.42	% BW rewrite match attempts            : 0
0.14/0.42	% BW rewrite match successes           : 0
0.14/0.42	% Condensation attempts                : 0
0.14/0.42	% Condensation successes               : 0
0.14/0.42	% Termbank termtop insertions          : 2573
0.14/0.42	% Search garbage collected termcells   : 318
0.14/0.42	
0.14/0.42	% -------------------------------------------------
0.14/0.42	% User time                : 0.008 s
0.14/0.42	% System time              : 0.004 s
0.14/0.42	% Total time               : 0.011 s
0.14/0.42	% Maximum resident set size: 3668 pages
0.14/0.42	
0.14/0.42	% -------------------------------------------------
0.14/0.42	% User time                : 0.030 s
0.14/0.42	% System time              : 0.010 s
0.14/0.42	% Total time               : 0.039 s
0.14/0.42	% Maximum resident set size: 4608 pages
0.14/0.42	% E exiting
0.14/0.42	EOF