0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.14/0.38	% Computer : n002.cluster.edu
0.14/0.38	% Model    : x86_64 x86_64
0.14/0.38	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.38	% Memory   : 8046.5625MB
0.14/0.38	% OS       : Linux 6.8.0-71-generic
0.14/0.38	% CPULimit : 1440
0.14/0.38	% WCLimit  : 180
0.14/0.38	% DateTime : Mon Jul 27 09:49:13 UTC 2026
0.14/0.39	% CPUTime  : 
0.14/0.39	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.14/0.45	Running first-order theorem proving
0.14/0.45	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
0.30/0.63	% Version: 3.5.1
0.30/0.63	% Preprocessing class: FMLMSMSLSSSNFFN.
0.30/0.63	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.30/0.63	% Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 540s (3) cores
0.30/0.63	% Starting new_bool_3 with 360s (2) cores
0.30/0.63	% Starting new_bool_1 with 360s (2) cores
0.30/0.63	% Starting sh5l with 180s (1) cores
0.30/0.63	% new_bool_3 with pid 3181868 completed with status 0
0.30/0.63	% Result found by new_bool_3
0.30/0.63	% Preprocessing class: FMLMSMSLSSSNFFN.
0.30/0.63	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.30/0.63	% Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 540s (3) cores
0.30/0.63	% Starting new_bool_3 with 360s (2) cores
0.30/0.63	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
0.30/0.63	% SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.30/0.63	% Search class: FGHSF-FSLM21-SFFFFFNN
0.30/0.63	% Scheduled 5 strats onto 2 cores with 360 seconds (360 total)
0.30/0.63	% Starting SubtermCWHack with 37s (1) cores
0.30/0.63	% Starting SAT001_MinMin_p005000_rr_RG with 217s (1) cores
0.30/0.63	% SAT001_MinMin_p005000_rr_RG with pid 3181872 completed with status 0
0.30/0.63	% Result found by SAT001_MinMin_p005000_rr_RG
0.30/0.63	% Preprocessing class: FMLMSMSLSSSNFFN.
0.30/0.63	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.30/0.63	% Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 540s (3) cores
0.30/0.63	% Starting new_bool_3 with 360s (2) cores
0.30/0.63	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
0.30/0.63	% SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.30/0.63	% Search class: FGHSF-FSLM21-SFFFFFNN
0.30/0.63	% Scheduled 5 strats onto 2 cores with 360 seconds (360 total)
0.30/0.63	% Starting SubtermCWHack with 37s (1) cores
0.30/0.63	% Starting SAT001_MinMin_p005000_rr_RG with 217s (1) cores
0.30/0.63	% Preprocessing time       : 0.008 s
0.30/0.63	% Presaturation interreduction done
0.30/0.63	
0.30/0.63	% Proof found!
0.30/0.63	% SZS status Theorem
0.30/0.63	% SZS output start CNFRefutation
0.30/0.63	fof('_HAMMER_GOAL', conjecture, ![X1]:((cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)=>![X2]:((cCoq_2eNumbers_2eBinNums_2eZ___24t(X2)=>(((p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X2,X1))<=p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X2,X2),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1))))<=p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X2)))<=p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', '_HAMMER_GOAL')).
0.30/0.63	fof('Coq.ZArith.BinInt.Z.square_le_simpl_nonneg', axiom, ![X1]:((cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)=>![X2]:((cCoq_2eNumbers_2eBinNums_2eZ___24t(X2)=>((p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X2,X2)))=>p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X1,X2)))<=p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'Coq.ZArith.BinInt.Z.square_le_simpl_nonneg')).
0.30/0.63	fof(c_0_2, negated_conjecture, ~(![X1]:((cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)=>![X2]:((cCoq_2eNumbers_2eBinNums_2eZ___24t(X2)=>(((p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X2,X1))<=p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X2,X2),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1))))<=p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X2)))<=p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1)))))))), inference(assume_negation,[status(cth)],['_HAMMER_GOAL'])).
0.30/0.63	fof(c_0_3, plain, ![X1]:((cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)=>![X2]:((cCoq_2eNumbers_2eBinNums_2eZ___24t(X2)=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X2))=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X2,X2)))=>p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X1,X2)))))))), inference(fof_simplification,[status(thm)],['Coq.ZArith.BinInt.Z.square_le_simpl_nonneg'])).
0.30/0.63	fof(c_0_4, negated_conjecture, ~(![X1]:((cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)=>![X2]:((cCoq_2eNumbers_2eBinNums_2eZ___24t(X2)=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X2))=>(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X2,X2),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1)))=>p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X2,X1)))))))))), inference(fof_simplification,[status(thm)],[c_0_2])).
0.30/0.63	fof(c_0_5, plain, ![X878, X879]:((~cCoq_2eNumbers_2eBinNums_2eZ___24t(X878)|(~cCoq_2eNumbers_2eBinNums_2eZ___24t(X879)|(~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X879))|(~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X878,X878),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X879,X879)))|p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X878,X879))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])).
0.30/0.63	fof(c_0_6, negated_conjecture, (cCoq_2eNumbers_2eBinNums_2eZ___24t(esk1_0)&(cCoq_2eNumbers_2eBinNums_2eZ___24t(esk2_0)&(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,esk1_0))&(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,esk2_0))&(p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(esk2_0,esk2_0),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(esk1_0,esk1_0)))&~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(esk2_0,esk1_0))))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])).
0.30/0.63	cnf(c_0_7, plain, (p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X1,X2))|~cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)|~cCoq_2eNumbers_2eBinNums_2eZ___24t(X2)|~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X2))|~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X2,X2)))), inference(split_conjunct,[status(thm)],[c_0_5])).
0.30/0.63	cnf(c_0_8, negated_conjecture, (p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(esk2_0,esk2_0),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(esk1_0,esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_6])).
0.30/0.63	cnf(c_0_9, negated_conjecture, (p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,esk1_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
0.30/0.63	cnf(c_0_10, negated_conjecture, (cCoq_2eNumbers_2eBinNums_2eZ___24t(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
0.30/0.63	cnf(c_0_11, negated_conjecture, (cCoq_2eNumbers_2eBinNums_2eZ___24t(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
0.30/0.63	cnf(c_0_12, negated_conjecture, (~p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(esk2_0,esk1_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
0.30/0.63	cnf(c_0_13, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_9]), c_0_10]), c_0_11])]), c_0_12]), ['proof']).
0.30/0.63	% SZS output end CNFRefutation
0.30/0.63	% Parsed axioms                        : 1728
0.30/0.63	% Removed by relevancy pruning/SinE    : 1601
0.30/0.63	% Initial clauses                      : 172
0.30/0.63	% Removed in clause preprocessing      : 18
0.30/0.63	% Initial clauses in saturation        : 154
0.30/0.63	% Processed clauses                    : 251
0.30/0.63	% ...of these trivial                  : 1
0.30/0.63	% ...subsumed                          : 87
0.30/0.63	% ...remaining for further processing  : 163
0.30/0.63	% Other redundant clauses eliminated   : 9
0.30/0.63	% Clauses deleted for lack of memory   : 0
0.30/0.63	% Backward-subsumed                    : 1
0.30/0.63	% Backward-rewritten                   : 0
0.30/0.63	% Generated clauses                    : 236
0.30/0.63	% ...of the previous two non-redundant : 177
0.30/0.63	% ...aggressively subsumed             : 0
0.30/0.63	% Contextual simplify-reflections      : 0
0.30/0.63	% Paramodulations                      : 225
0.30/0.63	% Factorizations                       : 0
0.30/0.63	% NegExts                              : 0
0.30/0.63	% Equation resolutions                 : 11
0.30/0.63	% Disequality decompositions           : 0
0.30/0.63	% Total rewrite steps                  : 175
0.30/0.63	% ...of those cached                   : 167
0.30/0.63	% Propositional unsat checks           : 0
0.30/0.63	%    Propositional check models        : 0
0.30/0.63	%    Propositional check unsatisfiable : 0
0.30/0.63	%    Propositional clauses             : 0
0.30/0.63	%    Propositional clauses after purity: 0
0.30/0.63	%    Propositional unsat core size     : 0
0.30/0.63	%    Propositional preprocessing time  : 0.000
0.30/0.63	%    Propositional encoding time       : 0.000
0.30/0.63	%    Propositional solver time         : 0.000
0.30/0.63	%    Success case prop preproc time    : 0.000
0.30/0.63	%    Success case prop encoding time   : 0.000
0.30/0.63	%    Success case prop solver time     : 0.000
0.30/0.63	% Current number of processed clauses  : 56
0.30/0.63	%    Positive orientable unit clauses  : 10
0.30/0.63	%    Positive unorientable unit clauses: 0
0.30/0.63	%    Negative unit clauses             : 3
0.30/0.63	%    Non-unit-clauses                  : 43
0.30/0.63	% Current number of unprocessed clauses: 164
0.30/0.63	% ...number of literals in the above   : 883
0.30/0.63	% Current number of archived formulas  : 0
0.30/0.63	% Current number of archived clauses   : 98
0.30/0.63	% Clause-clause subsumption calls (NU) : 3623
0.30/0.63	% Rec. Clause-clause subsumption calls : 852
0.30/0.63	% Non-unit clause-clause subsumptions  : 82
0.30/0.63	% Unit Clause-clause subsumption calls : 3
0.30/0.63	% Rewrite failures with RHS unbound    : 0
0.30/0.63	% BW rewrite match attempts            : 0
0.30/0.63	% BW rewrite match successes           : 0
0.30/0.63	% Condensation attempts                : 0
0.30/0.63	% Condensation successes               : 0
0.30/0.63	% Termbank termtop insertions          : 56406
0.30/0.63	% Search garbage collected termcells   : 20930
0.30/0.63	
0.30/0.63	% -------------------------------------------------
0.30/0.63	% User time                : 0.044 s
0.30/0.63	% System time              : 0.013 s
0.30/0.63	% Total time               : 0.057 s
0.30/0.63	% Maximum resident set size: 8540 pages
0.30/0.63	
0.30/0.63	% -------------------------------------------------
0.30/0.63	% User time                : 0.154 s
0.30/0.63	% System time              : 0.027 s
0.30/0.63	% Total time               : 0.181 s
0.30/0.63	% Maximum resident set size: 7936 pages
0.30/0.63	% E exiting
0.30/0.63	EOF