0.00/0.01 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.03/0.30 % Computer : n012.cluster.edu 0.03/0.30 % Model : x86_64 x86_64 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.03/0.30 % Memory : 8046.5625MB 0.03/0.30 % OS : Linux 6.8.0-71-generic 0.03/0.30 % CPULimit : 1440 0.03/0.30 % WCLimit : 180 0.03/0.30 % DateTime : Mon Jul 27 12:37:48 UTC 2026 0.03/0.30 % CPUTime : 0.03/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.03/0.32 Running higher-order theorem proving 0.06/0.35 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.3dGztnahYk/E---3.1_2023338.p 0.06/0.40 % Version: 3.5.1-ho 0.06/0.40 % Preprocessing class: HSLSSMSMSSMNSFA. 0.06/0.40 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.06/0.40 % Starting new_ho_3 with 900s (5) cores 0.06/0.40 % Starting pre_casc_2 with 180s (1) cores 0.06/0.40 % Starting additional_ho_7 with 180s (1) cores 0.06/0.40 % Starting lpo8_s with 180s (1) cores 0.06/0.40 % new_ho_3 with pid 2023351 completed with status 0 0.06/0.40 % Result found by new_ho_3 0.06/0.40 % Preprocessing class: HSLSSMSMSSMNSFA. 0.06/0.40 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.06/0.40 % Starting new_ho_3 with 900s (5) cores 0.06/0.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 0.06/0.40 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.06/0.40 % Search class: HGUSM-FSLM31-MSFFFFBN 0.06/0.40 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 0.06/0.40 % Starting SubtermCWHack with 82s (1) cores 0.06/0.40 % Starting new_ho_3 with 91s (1) cores 0.06/0.40 % Starting sh5l with 136s (1) cores 0.06/0.40 % Starting new_bool_1 with 136s (1) cores 0.06/0.40 % Starting new_bool_2 with 136s (1) cores 0.06/0.40 % new_ho_3 with pid 2023357 completed with status 0 0.06/0.40 % Result found by new_ho_3 0.06/0.40 % Preprocessing class: HSLSSMSMSSMNSFA. 0.06/0.40 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.06/0.40 % Starting new_ho_3 with 900s (5) cores 0.06/0.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 0.06/0.40 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.06/0.40 % Search class: HGUSM-FSLM31-MSFFFFBN 0.06/0.40 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 0.06/0.40 % Starting SubtermCWHack with 82s (1) cores 0.06/0.40 % Starting new_ho_3 with 91s (1) cores 0.06/0.40 % Preprocessing time : 0.004 s 0.06/0.40 % Presaturation interreduction done 0.06/0.40 0.06/0.40 % Proof found! 0.06/0.40 % SZS status Theorem 0.06/0.40 % SZS output start CNFRefutation 0.06/0.40 thf(decl_sort1, type, a: $tType). 0.06/0.40 thf(decl_sort2, type, real: $tType). 0.06/0.40 thf(decl_sort3, type, product_prod_a_a: $tType). 0.06/0.40 thf(decl_sort4, type, set_Product_prod_a_a: $tType). 0.06/0.40 thf(decl_23, type, one_one_real: real). 0.06/0.40 thf(decl_34, type, plus_plus_real: real > real > real). 0.06/0.40 thf(decl_43, type, plus_plus_a: a > a > a). 0.06/0.40 thf(decl_54, type, zero_zero_real: real). 0.06/0.40 thf(decl_58, type, zero_zero_a: a). 0.06/0.40 thf(decl_88, type, product_Pair_a_a: a > a > product_prod_a_a). 0.06/0.40 thf(decl_99, type, real_V1035702895aleR_a: real > a > a). 0.06/0.40 thf(decl_108, type, member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 0.06/0.40 thf(decl_114, type, relation: set_Product_prod_a_a). 0.06/0.40 thf(decl_115, type, u: real). 0.06/0.40 thf(decl_116, type, v: real). 0.06/0.40 thf(decl_117, type, x: a). 0.06/0.40 thf(decl_118, type, y: a). 0.06/0.40 thf(conj_0, conjecture, (member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation), file('/export/starexec/sandbox2/tmp/tmp.3dGztnahYk/E---3.1_2023338.p', conj_0)). 0.06/0.40 thf(fact_6__092_060open_062u_A_092_060noteq_062_A0_A_092_060and_062_Au_A_092_060noteq_062_A1_A_092_060longrightarrow_062_Au_A_K_092_060_094sub_062R_Ax_A_L_Av_A_K_092_060_094sub_062R_Ay_A_092_060succeq_062_Ay_092_060close_062, axiom, ((((u)!=(one_one_real))&((u)!=(zero_zero_real)))=>(member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation)), file('/export/starexec/sandbox2/tmp/tmp.3dGztnahYk/E---3.1_2023338.p', fact_6__092_060open_062u_A_092_060noteq_062_A0_A_092_060and_062_Au_A_092_060noteq_062_A1_A_092_060longrightarrow_062_Au_A_K_092_060_094sub_062R_Ax_A_L_Av_A_K_092_060_094sub_062R_Ay_A_092_060succeq_062_Ay_092_060close_062)). 0.06/0.40 thf(fact_7_u__0, axiom, (((u)=(zero_zero_real))=>(member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation)), file('/export/starexec/sandbox2/tmp/tmp.3dGztnahYk/E---3.1_2023338.p', fact_7_u__0)). 0.06/0.40 thf(fact_72_add__cancel__right__right, axiom, ![X1:real, X2:real]:((((X1)=(plus_plus_real @ X1 @ X2))<=>((X2)=(zero_zero_real)))), file('/export/starexec/sandbox2/tmp/tmp.3dGztnahYk/E---3.1_2023338.p', fact_72_add__cancel__right__right)). 0.06/0.40 thf(fact_9_assms_I5_J, axiom, ((plus_plus_real @ u @ v)=(one_one_real)), file('/export/starexec/sandbox2/tmp/tmp.3dGztnahYk/E---3.1_2023338.p', fact_9_assms_I5_J)). 0.06/0.40 thf(fact_241_scaleR__one, axiom, ![X3:a]:(((real_V1035702895aleR_a @ one_one_real @ X3)=(X3))), file('/export/starexec/sandbox2/tmp/tmp.3dGztnahYk/E---3.1_2023338.p', fact_241_scaleR__one)). 0.06/0.40 thf(fact_238_scale__zero__left, axiom, ![X3:a]:(((real_V1035702895aleR_a @ zero_zero_real @ X3)=(zero_zero_a))), file('/export/starexec/sandbox2/tmp/tmp.3dGztnahYk/E---3.1_2023338.p', fact_238_scale__zero__left)). 0.06/0.40 thf(fact_186_add_Ocomm__neutral, axiom, ![X193:a]:(((plus_plus_a @ X193 @ zero_zero_a)=(X193))), file('/export/starexec/sandbox2/tmp/tmp.3dGztnahYk/E---3.1_2023338.p', fact_186_add_Ocomm__neutral)). 0.06/0.40 thf(fact_5_assms_I2_J, axiom, (member449909584od_a_a @ (product_Pair_a_a @ x @ y) @ relation), file('/export/starexec/sandbox2/tmp/tmp.3dGztnahYk/E---3.1_2023338.p', fact_5_assms_I2_J)). 0.06/0.40 thf(c_0_9, negated_conjecture, ~((member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation)), inference(assume_negation,[status(cth)],[conj_0])). 0.06/0.40 thf(c_0_10, negated_conjecture, ~(member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation), inference(fof_simplification,[status(thm)],[c_0_9])). 0.06/0.40 thf(c_0_11, plain, ((((u)!=(one_one_real))&((u)!=(zero_zero_real)))=>(member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation)), inference(fof_simplification,[status(thm)],[fact_6__092_060open_062u_A_092_060noteq_062_A0_A_092_060and_062_Au_A_092_060noteq_062_A1_A_092_060longrightarrow_062_Au_A_K_092_060_094sub_062R_Ax_A_L_Av_A_K_092_060_094sub_062R_Ay_A_092_060succeq_062_Ay_092_060close_062])). 0.06/0.40 thf(c_0_12, plain, (((u)!=(zero_zero_real))|(member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation)), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_7_u__0])])). 0.06/0.40 thf(c_0_13, negated_conjecture, ~(member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation), inference(fof_nnf,[status(thm)],[c_0_10])). 0.06/0.40 thf(c_0_14, plain, (((u)=(one_one_real))|((u)=(zero_zero_real))|(member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation)), inference(fof_nnf,[status(thm)],[c_0_11])). 0.06/0.40 thf(c_0_15, plain, ((member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation)|((u)!=(zero_zero_real))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.06/0.40 thf(c_0_16, negated_conjecture, ~((member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.06/0.40 thf(c_0_17, plain, (((u)=(one_one_real))|((u)=(zero_zero_real))|(member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ u @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.06/0.40 thf(c_0_18, plain, ((u)!=(zero_zero_real)), inference(sr,[status(thm)],[c_0_15, c_0_16])). 0.06/0.40 thf(c_0_19, plain, ![X1478:real, X1479:real]:(((((X1478)!=(plus_plus_real @ X1478 @ X1479))|((X1479)=(zero_zero_real)))&(((X1479)!=(zero_zero_real))|((X1478)=(plus_plus_real @ X1478 @ X1479))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_72_add__cancel__right__right])])])). 0.06/0.40 thf(c_0_20, plain, ((plus_plus_real @ u @ v)=(one_one_real)), inference(split_conjunct,[status(thm)],[fact_9_assms_I5_J])). 0.06/0.40 thf(c_0_21, plain, ((u)=(one_one_real)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_17, c_0_18]), c_0_16])). 0.06/0.40 thf(c_0_22, plain, ![X1:real, X2:real]:((((X2)=(zero_zero_real))|((X1)!=(plus_plus_real @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.06/0.40 thf(c_0_23, plain, ((plus_plus_real @ one_one_real @ v)=(one_one_real)), inference(rw,[status(thm)],[c_0_20, c_0_21])). 0.06/0.40 thf(c_0_24, plain, ![X1335:a]:(((real_V1035702895aleR_a @ one_one_real @ X1335)=(X1335))), inference(variable_rename,[status(thm)],[fact_241_scaleR__one])). 0.06/0.40 thf(c_0_25, plain, ![X1336:a]:(((real_V1035702895aleR_a @ zero_zero_real @ X1336)=(zero_zero_a))), inference(variable_rename,[status(thm)],[fact_238_scale__zero__left])). 0.06/0.40 thf(c_0_26, plain, ![X1281:a]:(((plus_plus_a @ X1281 @ zero_zero_a)=(X1281))), inference(variable_rename,[status(thm)],[fact_186_add_Ocomm__neutral])). 0.06/0.40 thf(c_0_27, negated_conjecture, ~((member449909584od_a_a @ (product_Pair_a_a @ (plus_plus_a @ (real_V1035702895aleR_a @ one_one_real @ x) @ (real_V1035702895aleR_a @ v @ y)) @ y) @ relation)), inference(rw,[status(thm)],[c_0_16, c_0_21])). 0.06/0.40 thf(c_0_28, plain, ((v)=(zero_zero_real)), inference(spm,[status(thm)],[c_0_22, c_0_23])). 0.06/0.40 thf(c_0_29, plain, ![X3:a]:(((real_V1035702895aleR_a @ one_one_real @ X3)=(X3))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.06/0.40 thf(c_0_30, plain, ![X3:a]:(((real_V1035702895aleR_a @ zero_zero_real @ X3)=(zero_zero_a))), inference(split_conjunct,[status(thm)],[c_0_25])). 0.06/0.40 thf(c_0_31, plain, ![X3:a]:(((plus_plus_a @ X3 @ zero_zero_a)=(X3))), inference(split_conjunct,[status(thm)],[c_0_26])). 0.06/0.40 thf(c_0_32, plain, (member449909584od_a_a @ (product_Pair_a_a @ x @ y) @ relation), inference(split_conjunct,[status(thm)],[fact_5_assms_I2_J])). 0.06/0.40 thf(c_0_33, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), ['proof']). 0.06/0.40 % SZS output end CNFRefutation 0.06/0.40 % Parsed axioms : 482 0.06/0.40 % Removed by relevancy pruning/SinE : 226 0.06/0.40 % Initial clauses : 453 0.06/0.40 % Removed in clause preprocessing : 35 0.06/0.40 % Initial clauses in saturation : 418 0.06/0.40 % Processed clauses : 476 0.06/0.40 % ...of these trivial : 33 0.06/0.40 % ...subsumed : 132 0.06/0.40 % ...remaining for further processing : 311 0.06/0.40 % Other redundant clauses eliminated : 50 0.06/0.40 % Clauses deleted for lack of memory : 0 0.06/0.40 % Backward-subsumed : 1 0.06/0.40 % Backward-rewritten : 6 0.06/0.40 % Generated clauses : 61 0.06/0.40 % ...of the previous two non-redundant : 19 0.06/0.40 % ...aggressively subsumed : 0 0.06/0.40 % Contextual simplify-reflections : 0 0.06/0.40 % Paramodulations : 13 0.06/0.40 % Factorizations : 0 0.06/0.40 % NegExts : 0 0.06/0.40 % Equation resolutions : 50 0.06/0.40 % Disequality decompositions : 0 0.06/0.40 % Total rewrite steps : 93 0.06/0.40 % ...of those cached : 49 0.06/0.40 % Propositional unsat checks : 0 0.06/0.40 % Propositional check models : 0 0.06/0.40 % Propositional check unsatisfiable : 0 0.06/0.40 % Propositional clauses : 0 0.06/0.40 % Propositional clauses after purity: 0 0.06/0.40 % Propositional unsat core size : 0 0.06/0.40 % Propositional preprocessing time : 0.000 0.06/0.40 % Propositional encoding time : 0.000 0.06/0.40 % Propositional solver time : 0.000 0.06/0.40 % Success case prop preproc time : 0.000 0.06/0.40 % Success case prop encoding time : 0.000 0.06/0.40 % Success case prop solver time : 0.000 0.06/0.40 % Current number of processed clauses : 40 0.06/0.40 % Positive orientable unit clauses : 24 0.06/0.40 % Positive unorientable unit clauses: 0 0.06/0.40 % Negative unit clauses : 7 0.06/0.40 % Non-unit-clauses : 9 0.06/0.40 % Current number of unprocessed clauses: 176 0.06/0.40 % ...number of literals in the above : 431 0.06/0.40 % Current number of archived formulas : 0 0.06/0.40 % Current number of archived clauses : 223 0.06/0.40 % Clause-clause subsumption calls (NU) : 11265 0.06/0.40 % Rec. Clause-clause subsumption calls : 8352 0.06/0.40 % Non-unit clause-clause subsumptions : 141 0.06/0.40 % Unit Clause-clause subsumption calls : 239 0.06/0.40 % Rewrite failures with RHS unbound : 0 0.06/0.40 % BW rewrite match attempts : 54 0.06/0.40 % BW rewrite match successes : 46 0.06/0.40 % Condensation attempts : 476 0.06/0.40 % Condensation successes : 12 0.06/0.40 % Termbank termtop insertions : 38278 0.06/0.40 % Search garbage collected termcells : 8268 0.06/0.40 0.06/0.40 % ------------------------------------------------- 0.06/0.40 % User time : 0.029 s 0.06/0.40 % System time : 0.007 s 0.06/0.40 % Total time : 0.035 s 0.06/0.40 % Maximum resident set size: 5756 pages 0.06/0.40 0.06/0.40 % ------------------------------------------------- 0.06/0.40 % User time : 0.088 s 0.06/0.40 % System time : 0.019 s 0.06/0.40 % Total time : 0.107 s 0.06/0.40 % Maximum resident set size: 5632 pages 0.06/0.40 % E exiting 0.06/0.41 EOF