0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.12/0.47 % Computer : n014.cluster.edu 0.12/0.47 % Model : x86_64 x86_64 0.12/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.47 % Memory : 8046.5625MB 0.12/0.47 % OS : Linux 6.8.0-71-generic 0.12/0.47 % CPULimit : 1440 0.12/0.47 % WCLimit : 180 0.12/0.47 % DateTime : Mon Jul 27 10:19:09 UTC 2026 0.12/0.47 % CPUTime : 0.12/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.16/0.53 Running first-order theorem proving 0.16/0.53 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 0.29/0.61 % Version: 3.5.1 0.29/0.61 % Preprocessing class: FSLSSMSSSSSNFFN. 0.29/0.61 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.29/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 900s (5) cores 0.29/0.61 % Starting new_bool_3 with 180s (1) cores 0.29/0.61 % Starting new_bool_1 with 180s (1) cores 0.29/0.61 % Starting sh5l with 180s (1) cores 0.29/0.61 % new_bool_3 with pid 3520783 completed with status 0 0.29/0.61 % Result found by new_bool_3 0.29/0.61 % Preprocessing class: FSLSSMSSSSSNFFN. 0.29/0.61 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.29/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 900s (5) cores 0.29/0.61 % Starting new_bool_3 with 180s (1) cores 0.29/0.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.29/0.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.29/0.61 % Search class: FGHSF-FFMM21-MFFFFFNN 0.29/0.61 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.29/0.61 % Starting SubtermCWHack with 19s (1) cores 0.29/0.61 % SubtermCWHack with pid 3520787 completed with status 0 0.29/0.61 % Result found by SubtermCWHack 0.29/0.61 % Preprocessing class: FSLSSMSSSSSNFFN. 0.29/0.61 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.29/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 900s (5) cores 0.29/0.61 % Starting new_bool_3 with 180s (1) cores 0.29/0.61 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.29/0.61 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.29/0.61 % Search class: FGHSF-FFMM21-MFFFFFNN 0.29/0.61 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.29/0.61 % Starting SubtermCWHack with 19s (1) cores 0.29/0.61 % Preprocessing time : 0.002 s 0.29/0.61 0.29/0.61 % Proof found! 0.29/0.61 % SZS status Theorem 0.29/0.61 % SZS output start CNFRefutation 0.29/0.61 fof(co1, conjecture, ![X1]:((![X2]:((ssList(X2)=>![X3]:((![X4]:((ssList(X4)=>(X2!=X4|((neq(X4,nil)|~(neq(X2,nil)))&(~(neq(X2,nil))|?[X5]:((?[X6]:((ssList(X6)&?[X7]:(((ssList(X7)&app(X6,X7)=X1)&app(app(X6,cons(X5,nil)),X7)=X2))))&ssItem(X5)))|![X8]:((ssItem(X8)=>app(X3,cons(X8,nil))!=X4))))|X3!=X1)))<=ssList(X3)))))<=ssList(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)). 0.29/0.61 fof(ax84, axiom, ![X1]:((app(X1,nil)=X1<=ssList(X1))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax84)). 0.29/0.61 fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax17)). 0.29/0.61 fof(c_0_3, negated_conjecture, ~(![X1]:((![X2]:((ssList(X2)=>![X3]:((![X4]:((ssList(X4)=>(X2!=X4|((neq(X4,nil)|~(neq(X2,nil)))&(~(neq(X2,nil))|?[X5]:((?[X6]:((ssList(X6)&?[X7]:(((ssList(X7)&app(X6,X7)=X1)&app(app(X6,cons(X5,nil)),X7)=X2))))&ssItem(X5)))|![X8]:((ssItem(X8)=>app(X3,cons(X8,nil))!=X4))))|X3!=X1)))<=ssList(X3)))))<=ssList(X1)))), inference(assume_negation,[status(cth)],[co1])). 0.29/0.61 fof(c_0_4, negated_conjecture, ~(![X1]:((ssList(X1)=>![X2]:((ssList(X2)=>![X3]:((ssList(X3)=>![X4]:((ssList(X4)=>(X2!=X4|((neq(X4,nil)|~neq(X2,nil))&(~neq(X2,nil)|?[X5]:((?[X6]:((ssList(X6)&?[X7]:(((ssList(X7)&app(X6,X7)=X1)&app(app(X6,cons(X5,nil)),X7)=X2))))&ssItem(X5)))|![X8]:((ssItem(X8)=>app(X3,cons(X8,nil))!=X4))))|X3!=X1)))))))))), inference(fof_simplification,[status(thm)],[c_0_3])). 0.29/0.61 fof(c_0_5, negated_conjecture, ![X13, X14, X15]:((ssList(esk1_0)&(ssList(esk2_0)&(ssList(esk3_0)&(ssList(esk4_0)&((esk2_0=esk4_0&((((neq(esk2_0,nil)|~neq(esk4_0,nil))&(~ssList(X14)|(~ssList(X15)|app(X14,X15)!=esk1_0|app(app(X14,cons(X13,nil)),X15)!=esk2_0)|~ssItem(X13)|~neq(esk4_0,nil)))&((ssItem(esk5_0)|~neq(esk4_0,nil))&(app(esk3_0,cons(esk5_0,nil))=esk4_0|~neq(esk4_0,nil))))&(((neq(esk2_0,nil)|neq(esk2_0,nil))&(~ssList(X14)|(~ssList(X15)|app(X14,X15)!=esk1_0|app(app(X14,cons(X13,nil)),X15)!=esk2_0)|~ssItem(X13)|neq(esk2_0,nil)))&((ssItem(esk5_0)|neq(esk2_0,nil))&(app(esk3_0,cons(esk5_0,nil))=esk4_0|neq(esk2_0,nil))))))&esk3_0=esk1_0)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])). 0.29/0.61 cnf(c_0_6, negated_conjecture, (neq(esk2_0,nil)|neq(esk2_0,nil)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.29/0.61 cnf(c_0_7, negated_conjecture, (~ssList(X1)|~ssList(X2)|app(X1,X2)!=esk1_0|app(app(X1,cons(X3,nil)),X2)!=esk2_0|~ssItem(X3)|~neq(esk4_0,nil)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.29/0.61 cnf(c_0_8, negated_conjecture, (esk2_0=esk4_0), inference(split_conjunct,[status(thm)],[c_0_5])). 0.29/0.61 cnf(c_0_9, negated_conjecture, (neq(esk2_0,nil)), inference(cn,[status(thm)],[c_0_6])). 0.29/0.61 cnf(c_0_10, negated_conjecture, (app(esk3_0,cons(esk5_0,nil))=esk4_0|~neq(esk4_0,nil)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.29/0.61 cnf(c_0_11, negated_conjecture, (esk3_0=esk1_0), inference(split_conjunct,[status(thm)],[c_0_5])). 0.29/0.61 cnf(c_0_12, negated_conjecture, (ssItem(esk5_0)|~neq(esk4_0,nil)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.29/0.61 fof(c_0_13, plain, ![X1]:((ssList(X1)=>app(X1,nil)=X1)), inference(fof_simplification,[status(thm)],[ax84])). 0.29/0.61 cnf(c_0_14, negated_conjecture, (app(app(X1,cons(X2,nil)),X3)!=esk2_0|app(X1,X3)!=esk1_0|~ssItem(X2)|~ssList(X3)|~ssList(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7, c_0_8]), c_0_9])])). 0.29/0.61 cnf(c_0_15, negated_conjecture, (app(esk1_0,cons(esk5_0,nil))=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11]), c_0_8]), c_0_8]), c_0_9])])). 0.29/0.61 cnf(c_0_16, negated_conjecture, (ssItem(esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_8]), c_0_9])])). 0.29/0.61 cnf(c_0_17, negated_conjecture, (ssList(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.29/0.61 fof(c_0_18, plain, ![X28]:((~ssList(X28)|app(X28,nil)=X28)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])). 0.29/0.61 cnf(c_0_19, negated_conjecture, (app(esk2_0,X1)!=esk2_0|app(esk1_0,X1)!=esk1_0|~ssList(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_17])])). 0.29/0.61 cnf(c_0_20, plain, (app(X1,nil)=X1|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_18])). 0.29/0.61 cnf(c_0_21, plain, (ssList(nil)), inference(split_conjunct,[status(thm)],[ax17])). 0.29/0.61 cnf(c_0_22, negated_conjecture, (app(esk2_0,nil)!=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21]), c_0_17])])). 0.29/0.61 cnf(c_0_23, negated_conjecture, (ssList(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.29/0.61 cnf(c_0_24, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_20]), c_0_23])]), ['proof']). 0.29/0.61 % SZS output end CNFRefutation 0.29/0.61 % Parsed axioms : 96 0.29/0.61 % Removed by relevancy pruning/SinE : 77 0.29/0.61 % Initial clauses : 41 0.29/0.61 % Removed in clause preprocessing : 0 0.29/0.61 % Initial clauses in saturation : 41 0.29/0.61 % Processed clauses : 103 0.29/0.61 % ...of these trivial : 4 0.29/0.61 % ...subsumed : 24 0.29/0.61 % ...remaining for further processing : 75 0.29/0.61 % Other redundant clauses eliminated : 12 0.29/0.61 % Clauses deleted for lack of memory : 0 0.29/0.61 % Backward-subsumed : 9 0.29/0.61 % Backward-rewritten : 3 0.29/0.61 % Generated clauses : 237 0.29/0.61 % ...of the previous two non-redundant : 169 0.29/0.61 % ...aggressively subsumed : 0 0.29/0.61 % Contextual simplify-reflections : 4 0.29/0.61 % Paramodulations : 222 0.29/0.61 % Factorizations : 0 0.29/0.61 % NegExts : 0 0.29/0.61 % Equation resolutions : 16 0.29/0.61 % Disequality decompositions : 0 0.29/0.61 % Total rewrite steps : 215 0.29/0.61 % ...of those cached : 206 0.29/0.61 % Propositional unsat checks : 0 0.29/0.61 % Propositional check models : 0 0.29/0.61 % Propositional check unsatisfiable : 0 0.29/0.61 % Propositional clauses : 0 0.29/0.61 % Propositional clauses after purity: 0 0.29/0.61 % Propositional unsat core size : 0 0.29/0.61 % Propositional preprocessing time : 0.000 0.29/0.61 % Propositional encoding time : 0.000 0.29/0.61 % Propositional solver time : 0.000 0.29/0.61 % Success case prop preproc time : 0.000 0.29/0.61 % Success case prop encoding time : 0.000 0.29/0.61 % Success case prop solver time : 0.000 0.29/0.61 % Current number of processed clauses : 60 0.29/0.61 % Positive orientable unit clauses : 12 0.29/0.61 % Positive unorientable unit clauses: 0 0.29/0.61 % Negative unit clauses : 4 0.29/0.61 % Non-unit-clauses : 44 0.29/0.61 % Current number of unprocessed clauses: 99 0.29/0.61 % ...number of literals in the above : 511 0.29/0.61 % Current number of archived formulas : 0 0.29/0.61 % Current number of archived clauses : 12 0.29/0.61 % Clause-clause subsumption calls (NU) : 219 0.29/0.61 % Rec. Clause-clause subsumption calls : 125 0.29/0.61 % Non-unit clause-clause subsumptions : 32 0.29/0.61 % Unit Clause-clause subsumption calls : 35 0.29/0.61 % Rewrite failures with RHS unbound : 0 0.29/0.61 % BW rewrite match attempts : 3 0.29/0.61 % BW rewrite match successes : 3 0.29/0.61 % Condensation attempts : 0 0.29/0.61 % Condensation successes : 0 0.29/0.61 % Termbank termtop insertions : 7845 0.29/0.61 % Search garbage collected termcells : 1390 0.29/0.61 0.29/0.61 % ------------------------------------------------- 0.29/0.61 % User time : 0.012 s 0.29/0.61 % System time : 0.002 s 0.29/0.61 % Total time : 0.014 s 0.29/0.61 % Maximum resident set size: 3760 pages 0.29/0.61 0.29/0.61 % ------------------------------------------------- 0.29/0.61 % User time : 0.014 s 0.29/0.61 % System time : 0.009 s 0.29/0.61 % Total time : 0.022 s 0.29/0.61 % Maximum resident set size: 4864 pages 0.29/0.62 % E exiting 0.29/0.62 EOF