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 0.09/0.36 % Computer : n012.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.09/0.36 % CPULimit : 1440 0.09/0.36 % WCLimit : 180 0.09/0.36 % DateTime : Mon Jul 27 09:42:33 UTC 2026 0.09/0.36 % CPUTime : 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.14/0.40 Running first-order theorem proving 0.14/0.40 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 0.14/0.44 % Version: 3.5.1 0.14/0.44 % Preprocessing class: FSLSSMSMSSSNFFN. 0.14/0.44 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 900s (5) cores 0.14/0.44 % Starting new_bool_3 with 180s (1) cores 0.14/0.44 % Starting new_bool_1 with 180s (1) cores 0.14/0.44 % Starting sh5l with 180s (1) cores 0.14/0.44 % new_bool_3 with pid 1840216 completed with status 0 0.14/0.44 % Result found by new_bool_3 0.14/0.44 % Preprocessing class: FSLSSMSMSSSNFFN. 0.14/0.44 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 900s (5) cores 0.14/0.44 % Starting new_bool_3 with 180s (1) cores 0.14/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.14/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.14/0.44 % Search class: FGUSM-FFMM32-MFFFFFNN 0.14/0.44 % partial match(1): FGHSM-FFMM32-MFFFFFNN 0.14/0.44 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.14/0.44 % Starting SubtermCWHack with 17s (1) cores 0.14/0.44 % SubtermCWHack with pid 1840223 completed with status 0 0.14/0.44 % Result found by SubtermCWHack 0.14/0.44 % Preprocessing class: FSLSSMSMSSSNFFN. 0.14/0.44 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 900s (5) cores 0.14/0.44 % Starting new_bool_3 with 180s (1) cores 0.14/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.14/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.14/0.44 % Search class: FGUSM-FFMM32-MFFFFFNN 0.14/0.44 % partial match(1): FGHSM-FFMM32-MFFFFFNN 0.14/0.44 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.14/0.44 % Starting SubtermCWHack with 17s (1) cores 0.14/0.44 % Preprocessing time : 0.002 s 0.14/0.44 0.14/0.44 % Proof found! 0.14/0.44 % SZS status Theorem 0.14/0.44 % SZS output start CNFRefutation 0.14/0.44 fof(gauss_init_0077, conjecture, ((geq(minus(n330,n1),n0)&geq(minus(n410,n1),n0))=>![X3]:(((leq(n0,X3)&leq(X3,n2))=>![X8]:((init=a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X8,X3)<=(leq(n0,X8)&leq(X8,minus(n0,n1)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gauss_init_0077)). 0.14/0.44 fof(leq_succ, axiom, ![X1, X2]:((leq(X1,succ(X2))<=leq(X1,X2))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', leq_succ)). 0.14/0.44 fof(pred_succ, axiom, ![X1]:(pred(succ(X1))=X1), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', pred_succ)). 0.14/0.44 fof(pred_minus_1, axiom, ![X1]:(pred(X1)=minus(X1,n1)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', pred_minus_1)). 0.14/0.44 fof(succ_tptp_minus_1, axiom, n0=succ(tptp_minus_1), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', succ_tptp_minus_1)). 0.14/0.44 fof(leq_succ_gt_equiv, axiom, ![X1, X2]:((gt(succ(X2),X1)<=>leq(X1,X2))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', leq_succ_gt_equiv)). 0.14/0.44 fof(finite_domain_0, axiom, ![X1]:(((leq(n0,X1)&leq(X1,n0))=>n0=X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', finite_domain_0)). 0.14/0.44 fof(irreflexivity_gt, axiom, ![X1]:(~(gt(X1,X1))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', irreflexivity_gt)). 0.14/0.44 fof(c_0_8, negated_conjecture, ~(((geq(minus(n330,n1),n0)&geq(minus(n410,n1),n0))=>![X3]:(((leq(n0,X3)&leq(X3,n2))=>![X8]:((init=a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X8,X3)<=(leq(n0,X8)&leq(X8,minus(n0,n1))))))))), inference(assume_negation,[status(cth)],[gauss_init_0077])). 0.14/0.44 fof(c_0_9, plain, ![X1, X2]:((leq(X1,X2)=>leq(X1,succ(X2)))), inference(fof_simplification,[status(thm)],[leq_succ])). 0.14/0.44 fof(c_0_10, negated_conjecture, ~(((geq(minus(n330,n1),n0)&geq(minus(n410,n1),n0))=>![X3]:(((leq(n0,X3)&leq(X3,n2))=>![X8]:(((leq(n0,X8)&leq(X8,minus(n0,n1)))=>init=a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X8,X3))))))), inference(fof_simplification,[status(thm)],[c_0_8])). 0.14/0.44 fof(c_0_11, plain, ![X73]:(pred(succ(X73))=X73), inference(variable_rename,[status(thm)],[pred_succ])). 0.14/0.44 fof(c_0_12, plain, ![X42, X43]:((~leq(X42,X43)|leq(X42,succ(X43)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])). 0.14/0.44 fof(c_0_13, negated_conjecture, ((geq(minus(n330,n1),n0)&geq(minus(n410,n1),n0))&((leq(n0,esk1_0)&leq(esk1_0,n2))&((leq(n0,esk2_0)&leq(esk2_0,minus(n0,n1)))&init!=a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),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_10])])])])). 0.14/0.44 fof(c_0_14, plain, ![X49]:(pred(X49)=minus(X49,n1)), inference(variable_rename,[status(thm)],[pred_minus_1])). 0.14/0.44 cnf(c_0_15, plain, (pred(succ(X1))=X1), inference(split_conjunct,[status(thm)],[c_0_11])). 0.14/0.44 cnf(c_0_16, plain, (n0=succ(tptp_minus_1)), inference(split_conjunct,[status(thm)],[succ_tptp_minus_1])). 0.14/0.44 cnf(c_0_17, plain, (leq(X1,succ(X2))|~leq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_12])). 0.14/0.44 cnf(c_0_18, negated_conjecture, (leq(esk2_0,minus(n0,n1))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.14/0.44 cnf(c_0_19, plain, (pred(X1)=minus(X1,n1)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.14/0.44 cnf(c_0_20, plain, (pred(n0)=tptp_minus_1), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.14/0.44 fof(c_0_21, plain, ![X33, X34]:(((~gt(succ(X34),X33)|leq(X33,X34))&(~leq(X33,X34)|gt(succ(X34),X33)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv])])])). 0.14/0.44 fof(c_0_22, plain, ![X46]:((~leq(n0,X46)|~leq(X46,n0)|n0=X46)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_0])])])). 0.14/0.44 cnf(c_0_23, plain, (leq(X1,n0)|~leq(X1,tptp_minus_1)), inference(spm,[status(thm)],[c_0_17, c_0_16])). 0.14/0.44 cnf(c_0_24, negated_conjecture, (leq(esk2_0,tptp_minus_1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19]), c_0_20])). 0.14/0.44 fof(c_0_25, plain, ![X1]:(~gt(X1,X1)), inference(fof_simplification,[status(thm)],[irreflexivity_gt])). 0.14/0.44 cnf(c_0_26, plain, (gt(succ(X2),X1)|~leq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_21])). 0.14/0.44 cnf(c_0_27, plain, (n0=X1|~leq(n0,X1)|~leq(X1,n0)), inference(split_conjunct,[status(thm)],[c_0_22])). 0.14/0.44 cnf(c_0_28, negated_conjecture, (leq(esk2_0,n0)), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.14/0.44 cnf(c_0_29, negated_conjecture, (leq(n0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.14/0.44 fof(c_0_30, plain, ![X66]:(~gt(X66,X66)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])])). 0.14/0.44 cnf(c_0_31, negated_conjecture, (gt(n0,esk2_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_24]), c_0_16])). 0.14/0.44 cnf(c_0_32, negated_conjecture, (esk2_0=n0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])])). 0.14/0.44 cnf(c_0_33, plain, (~gt(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_30])). 0.14/0.44 cnf(c_0_34, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32]), c_0_33]), ['proof']). 0.14/0.44 % SZS output end CNFRefutation 0.14/0.44 % Parsed axioms : 100 0.14/0.44 % Removed by relevancy pruning/SinE : 22 0.14/0.44 % Initial clauses : 88 0.14/0.44 % Removed in clause preprocessing : 0 0.14/0.44 % Initial clauses in saturation : 88 0.14/0.44 % Processed clauses : 124 0.14/0.44 % ...of these trivial : 0 0.14/0.44 % ...subsumed : 2 0.14/0.44 % ...remaining for further processing : 122 0.14/0.44 % Other redundant clauses eliminated : 0 0.14/0.44 % Clauses deleted for lack of memory : 0 0.14/0.44 % Backward-subsumed : 0 0.14/0.44 % Backward-rewritten : 10 0.14/0.44 % Generated clauses : 134 0.14/0.44 % ...of the previous two non-redundant : 92 0.14/0.44 % ...aggressively subsumed : 0 0.14/0.44 % Contextual simplify-reflections : 0 0.14/0.44 % Paramodulations : 132 0.14/0.44 % Factorizations : 2 0.14/0.44 % NegExts : 0 0.14/0.44 % Equation resolutions : 0 0.14/0.44 % Disequality decompositions : 0 0.14/0.44 % Total rewrite steps : 82 0.14/0.44 % ...of those cached : 52 0.14/0.44 % Propositional unsat checks : 0 0.14/0.44 % Propositional check models : 0 0.14/0.44 % Propositional check unsatisfiable : 0 0.14/0.44 % Propositional clauses : 0 0.14/0.44 % Propositional clauses after purity: 0 0.14/0.44 % Propositional unsat core size : 0 0.14/0.44 % Propositional preprocessing time : 0.000 0.14/0.44 % Propositional encoding time : 0.000 0.14/0.44 % Propositional solver time : 0.000 0.14/0.44 % Success case prop preproc time : 0.000 0.14/0.44 % Success case prop encoding time : 0.000 0.14/0.44 % Success case prop solver time : 0.000 0.14/0.44 % Current number of processed clauses : 112 0.14/0.44 % Positive orientable unit clauses : 72 0.14/0.44 % Positive unorientable unit clauses: 0 0.14/0.44 % Negative unit clauses : 9 0.14/0.44 % Non-unit-clauses : 31 0.14/0.44 % Current number of unprocessed clauses: 56 0.14/0.44 % ...number of literals in the above : 150 0.14/0.44 % Current number of archived formulas : 0 0.14/0.44 % Current number of archived clauses : 10 0.14/0.44 % Clause-clause subsumption calls (NU) : 104 0.14/0.44 % Rec. Clause-clause subsumption calls : 101 0.14/0.44 % Non-unit clause-clause subsumptions : 1 0.14/0.44 % Unit Clause-clause subsumption calls : 64 0.14/0.44 % Rewrite failures with RHS unbound : 0 0.14/0.44 % BW rewrite match attempts : 7 0.14/0.44 % BW rewrite match successes : 4 0.14/0.44 % Condensation attempts : 0 0.14/0.44 % Condensation successes : 0 0.14/0.44 % Termbank termtop insertions : 5317 0.14/0.44 % Search garbage collected termcells : 727 0.14/0.44 0.14/0.44 % ------------------------------------------------- 0.14/0.44 % User time : 0.010 s 0.14/0.44 % System time : 0.002 s 0.14/0.44 % Total time : 0.011 s 0.14/0.44 % Maximum resident set size: 3956 pages 0.14/0.44 0.14/0.44 % ------------------------------------------------- 0.14/0.44 % User time : 0.012 s 0.14/0.44 % System time : 0.007 s 0.14/0.44 % Total time : 0.019 s 0.14/0.44 % Maximum resident set size: 4608 pages 0.14/0.44 % E exiting 0.14/0.45 EOF