0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.12 % Command : gkc %s 0.11/0.32 % Computer : n023.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 02:48:42 EDT 2022 0.11/0.32 % CPUTime : 0.17/0.37 0.17/0.37 input clause set summed statistics: 0.17/0.37 ---------------------------------- 0.17/0.37 in_clause_count: 96 0.17/0.37 in_rule_clause_count: 92 0.17/0.37 in_fact_clause_count: 4 0.17/0.37 in_answer_clause_count: 0 0.17/0.37 in_ground_clause_count: 8 0.17/0.37 in_unit_clause_count: 22 0.17/0.37 in_horn_clause_count: 83 0.17/0.37 in_pos_clause_count: 28 0.17/0.37 in_neg_clause_count: 5 0.17/0.37 in_poseq_clause_count: 24 0.17/0.37 in_negeq_clause_count: 8 0.17/0.37 in_unitposeq_clause_count: 9 0.17/0.37 in_chain_clause_count: 0 0.17/0.37 in_min_length: 1 0.17/0.37 in_max_length: 4 0.17/0.37 in_min_depth: 1 0.17/0.37 in_max_depth: 4 0.17/0.37 in_min_size: 2 0.17/0.37 in_max_size: 26 0.17/0.37 in_min_vars: 0 0.17/0.37 in_max_vars: 4 0.17/0.37 in_extaxiom_count: 89 0.17/0.37 in_axiom_count: 4 0.17/0.37 in_assumption_count: 0 0.17/0.37 in_goal_count: 3 0.17/0.37 in_neg_goal_count: 1 0.17/0.37 in_pos_goal_count: 2 0.17/0.37 in_posunit_goal_count: 2 0.17/0.37 0.17/0.37 auto guide: 0.17/0.37 ----------- 0.17/0.37 { 0.17/0.37 "print":1, 0.17/0.37 "print_level": 15, 0.17/0.37 "max_size": 0, 0.17/0.37 "max_depth": 0, 0.17/0.37 "max_length": 0, 0.17/0.37 "max_dseconds": 0, 0.17/0.37 "runs":[ 0.17/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":1}, 0.17/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1}, 0.17/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1}, 0.17/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":0}, 0.17/0.37 {"max_dseconds":1, "strategy":["negative_pref"], 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"strategy":["negative_pref"], "query_preference":1}, 0.17/0.37 {"max_dseconds":250, "strategy":["unit"], "query_preference":0}, 0.17/0.37 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0}, 0.17/0.37 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1}, 0.17/0.37 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100}, 0.17/0.37 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1}, 0.17/0.37 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0}, 0.17/0.37 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4}, 0.17/0.37 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1}, 0.17/0.37 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100}, 0.17/0.37 {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0}, 0.17/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250}, 0.17/0.37 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1}, 0.17/0.37 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1}, 0.17/0.37 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100}, 0.17/0.37 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100}, 0.17/0.37 {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1}, 0.17/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250}, 0.17/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250}, 0.17/0.37 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0}, 0.17/0.37 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1}, 0.17/0.37 0.17/0.37 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1}, 0.17/0.37 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1}, 0.17/0.37 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1}, 0.17/0.37 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0}, 0.17/0.37 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0}, 0.17/0.37 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1}, 0.17/0.37 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100}, 0.17/0.37 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1}, 0.17/0.37 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0}, 0.17/0.37 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4}, 0.17/0.37 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1}, 0.17/0.37 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100}, 0.17/0.37 {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0}, 0.17/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250}, 0.17/0.37 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1}, 0.17/0.37 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1}, 0.17/0.37 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100}, 0.17/0.37 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100}, 0.17/0.37 {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1}, 0.17/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250}, 0.17/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250}, 0.17/0.37 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0}, 0.17/0.37 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1} 0.17/0.37 0.17/0.37 ]} 0.17/0.37 0.17/0.37 0.17/0.37 **** run 2 fork 1 starts with strategy 0.17/0.37 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1} 0.17/0.37 0.17/0.37 **** run 3 fork 2 starts with strategy 0.17/0.37 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1} 0.17/0.37 0.17/0.37 **** run 4 fork 3 starts with strategy 0.17/0.37 {"max_dseconds":1,"strategy":["unit"],"query_preference":0} 0.17/0.37 0.17/0.37 **** run 5 fork 4 starts with strategy 0.17/0.37 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0} 0.17/0.37 0.17/0.37 **** run 6 fork 5 starts with strategy 0.17/0.37 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1} 0.17/0.37 0.17/0.37 **** run 7 fork 6 starts with strategy 0.17/0.37 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100} 0.17/0.37 0.17/0.37 **** run 8 fork 7 starts with strategy 0.17/0.37 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1} 0.17/0.37 0.17/0.37 **** run 1 fork 0 starts with strategy 0.17/0.37 {"max_dseconds":1,"strategy":["unit"],"query_preference":1} 0.17/0.49 0.17/0.49 0.17/0.49 fork 3: search terminated without proof. 0.17/0.49 0.17/0.49 0.17/0.49 fork 6: search terminated without proof. 0.17/0.49 0.17/0.49 0.17/0.49 fork 4: search terminated without proof. 0.17/0.50 0.17/0.50 0.17/0.50 fork 2: search terminated without proof. 0.17/0.50 0.17/0.50 0.17/0.50 fork 7: search terminated without proof. 0.17/0.51 0.17/0.51 0.17/0.51 result: proof found 0.17/0.51 for /export/starexec/sandbox/benchmark/theBenchmark.p 0.17/0.51 by run 2 fork 1 strategy {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1} 0.17/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 0.17/0.51 0.17/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 0.17/0.51 fof('$inc_singleton_set_defn_$sk', plain, (singleton(X1) = unordered_pair(X1,X1)), 0.17/0.51 inference(negpush_and_skolemize,[],['$inc_singleton_set_defn'])). 0.17/0.51 fof('$inc_singleton_set_defn', axiom, (! [X] : (singleton(X) = unordered_pair(X,X))), 0.17/0.51 input). 0.17/0.51 fof('property_of_singletons1_1_$sk', plain, (~($sk2 = member_of($sk1)) & (member($sk2,$sk1) & (singleton(member_of($sk1)) = $sk1))), 0.17/0.51 inference(negpush_and_skolemize,[],['property_of_singletons1_1'])). 0.17/0.51 fof('property_of_singletons1_1', conjecture, (! [X,Y] : (((singleton(member_of(X)) = X) & member(Y,X)) => (Y = member_of(X)))), 0.17/0.51 input). 0.17/0.51 fof('$inc_unordered_pair_defn_$sk', plain, ((~member(X3,unordered_pair(X1,X2)) | (member(X3,universal_class) & ((X3 = X2) | (X3 = X1)))) & (member(X6,unordered_pair(X4,X5)) | (~member(X6,universal_class) | (~(X6 = X5) & ~(X6 = X4))))), 0.17/0.51 inference(negpush_and_skolemize,[],['$inc_unordered_pair_defn'])). 0.17/0.51 fof('$inc_unordered_pair_defn', axiom, (! [U,X,Y] : (member(U,unordered_pair(X,Y)) <=> (((U = X) | (U = Y)) & member(U,universal_class)))), 0.17/0.51 input). 0.17/0.51 cnf('1', plain, (singleton(X) = unordered_pair(X,X)), 0.17/0.51 inference(cnf_transformation,[],['$inc_singleton_set_defn_$sk'])). 0.17/0.51 cnf('2', plain, (singleton(member_of($sk1)) = $sk1), 0.17/0.51 inference(cnf_transformation,[],['property_of_singletons1_1_$sk'])). 0.17/0.51 cnf('3', plain, ($sk1 = unordered_pair(member_of($sk1),member_of($sk1))), 0.17/0.51 inference(paramodulation,[],['2','1'])). 0.17/0.51 cnf('4', plain, ($sk1 = singleton(member_of($sk1))), 0.17/0.51 inference(paramodulation,[],['1','3'])). 0.17/0.51 cnf('5', plain, (unordered_pair(member_of($sk1),member_of($sk1)) = singleton(member_of($sk1))), 0.17/0.51 inference(paramodulation,[],['3','4'])). 0.17/0.51 cnf('6', plain, (unordered_pair(member_of(singleton(member_of($sk1))),member_of($sk1)) = singleton(member_of($sk1))), 0.17/0.51 inference(paramodulation,[],['4','5'])). 0.17/0.51 cnf('7', plain, ($sk2 != member_of($sk1)), 0.17/0.51 inference(cnf_transformation,[],['property_of_singletons1_1_$sk'])). 0.17/0.51 cnf('8', plain, (~member(X,unordered_pair(Y,Z)) | X = Y | X = Z), 0.17/0.51 inference(cnf_transformation,[],['$inc_unordered_pair_defn_$sk'])). 0.17/0.51 cnf('9', plain, (~member($sk2,unordered_pair(X,member_of($sk1))) | $sk2 = X), 0.17/0.51 inference(resolution,[],['7','8'])). 0.17/0.51 cnf('10', plain, (member($sk2,$sk1)), 0.17/0.51 inference(cnf_transformation,[],['property_of_singletons1_1_$sk'])). 0.17/0.51 cnf('11', plain, (member($sk2,singleton(member_of($sk1)))), 0.17/0.51 inference(paramodulation,[],['2','10'])). 0.17/0.51 cnf('12', plain, ($sk2 != member_of(singleton(member_of($sk1)))), 0.17/0.51 inference(paramodulation,[],['2','7'])). 0.17/0.51 cnf('13', plain, ($false), 0.17/0.51 inference(paramodulation,[then_simplify],['6','9','11','12'])). 0.17/0.51 0.17/0.51 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 0.17/0.51 0.17/0.51 run 2 fork 1 statistics: 0.17/0.51 ---------------------------------- 0.17/0.51 this run seconds: 0.088034 0.17/0.51 total seconds: 0.119136 0.17/0.51 stat_given_used: 200 0.17/0.51 stat_given_used_at_endgame: 0 0.17/0.51 stat_given_candidates: 216 0.17/0.51 stat_given_candidates_at_endgame: 0 0.17/0.51 stat_given_candidates_h: 0 0.17/0.51 stat_binres_derived_cl: 1016 0.17/0.51 stat_binres_derived_cl_h: 0 0.17/0.51 stat_factor_derived_cl: 0 0.17/0.51 stat_para_derived_cl: 21018 0.17/0.51 stat_tautologies_discarded: 15 0.17/0.51 stat_forward_subsumed: 9756 0.17/0.51 stat_derived_cut: 287 0.17/0.51 stat_derived_rewritten: 0 0.17/0.51 stat_weight_discarded_building: 0 0.17/0.51 stat_weight_discarded_cl: 4093 0.17/0.51 stat_internlimit_discarded_cl: 0 0.17/0.51 stat_simplified: 3 simplified 0 derived 0 given 0.17/0.51 stat_kept_cl: 7235 0.17/0.51 stat_built_cl: 11917 0.17/0.51 stat_hyperres_partial_cl: 0 0.17/0.51 stat_made_rewriters: 0 0.17/0.51 stat_backward_subsumed: 0 0.17/0.51 stat_propagated_subsumed: 0 0.17/0.51 stat_clsubs_attempted: 222 0.17/0.51 stat_clsubs_fact_groundunit_found: 1 0.17/0.51 stat_clsubs_rule_groundunit_found: 6 0.17/0.51 stat_clsubs_top_meta_attempted: 21931 0.17/0.51 stat_clsubs_top_meta_failed: 21709 0.17/0.51 stat_clsubs_top_meta_nonpref_attempted: 21931 0.17/0.51 stat_clsubs_top_meta_nonpref_succeeded: 3550 0.17/0.51 stat_clsubs_top_meta_pref_attempted: 3550 0.17/0.51 stat_clsubs_top_meta_pref1_succeeded: 2067 0.17/0.51 stat_clsubs_top_meta_pref2_succeeded: 255 0.17/0.51 stat_clsubs_top_meta_pref3_succeeded: 222 0.17/0.51 stat_clsubs_top_meta_pref_succeeded: 222 0.17/0.51 stat_clsubs_meta_attempted: 263 0.17/0.51 stat_clsubs_meta_failed: 65 0.17/0.51 stat_clsubs_predsymbs_attempted: 0 0.17/0.51 stat_clsubs_unit_attempted: 112 0.17/0.51 stat_clsubs_full_attempted: 110 0.17/0.51 stat_forwardsubs_attempted: 21085 0.17/0.51 stat_lit_hash_added: 6016 0.17/0.51 stat_lit_hash_computed: 30847 0.17/0.51 stat_lit_hash_match_found: 10078 0.17/0.51 stat_lit_hash_match_miss: 29452 0.17/0.51 stat_lit_hash_cut_ok: 313 0.17/0.51 stat_lit_strong_cut_ok: 78 0.17/0.51 stat_lit_hash_subsume_ok: 9756 0.17/0.51 clqueue els 10000000 used 1 0.17/0.51 clactive els 10000000 used 294 0.17/0.51 clactivesubsume els 10000000 used 739 0.17/0.51 queue_termbuf els 200000000 used 623913 0.17/0.51 hyper_termbuf els 100000000 used 1 0.17/0.51 active_termbuf els 100000000 used 12306 0.17/0.51 varstack els 5000 last used 1 0.17/0.51 given_termbuf els 10000000 last used 1 0.17/0.51 simplified_termbuf els 10000000 last used 1 0.17/0.51 derived_termbuf els 10000000 last used 63 0.17/0.51 wr_mallocs: 24374 0.17/0.51 wr_callocs: 19 0.17/0.51 wr_reallocs: 1938 0.17/0.51 wr_frees: 2 0.17/0.51 wr_malloc_bytes: 4163414244 0.17/0.51 wr_calloc_bytes: 96065504 0.17/0.51 wr_realloc_bytes: 305672 0.17/0.51 wr_realloc_freebytes: 0 0.17/0.51 ---------------------------------- 0.17/0.52 EOF