0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : gkc %s 0.10/0.32 % Computer : n009.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Tue Aug 9 04:23:05 EDT 2022 0.10/0.32 % CPUTime : 0.10/0.38 0.10/0.38 input clause set summed statistics: 0.10/0.38 ---------------------------------- 0.10/0.38 in_clause_count: 22 0.10/0.38 in_rule_clause_count: 18 0.10/0.38 in_fact_clause_count: 4 0.10/0.38 in_answer_clause_count: 0 0.10/0.38 in_ground_clause_count: 6 0.10/0.38 in_unit_clause_count: 8 0.10/0.38 in_horn_clause_count: 20 0.10/0.38 in_pos_clause_count: 7 0.10/0.38 in_neg_clause_count: 3 0.10/0.38 in_poseq_clause_count: 6 0.10/0.38 in_negeq_clause_count: 7 0.10/0.38 in_unitposeq_clause_count: 2 0.10/0.38 in_chain_clause_count: 0 0.10/0.38 in_min_length: 1 0.10/0.38 in_max_length: 9 0.10/0.38 in_min_depth: 1 0.10/0.38 in_max_depth: 3 0.10/0.38 in_min_size: 3 0.10/0.38 in_max_size: 37 0.10/0.38 in_min_vars: 0 0.10/0.38 in_max_vars: 4 0.10/0.38 in_extaxiom_count: 0 0.10/0.38 in_axiom_count: 16 0.10/0.38 in_assumption_count: 2 0.10/0.38 in_goal_count: 4 0.10/0.38 in_neg_goal_count: 1 0.10/0.38 in_pos_goal_count: 3 0.10/0.38 in_posunit_goal_count: 3 0.10/0.38 0.10/0.38 auto guide: 0.10/0.38 ----------- 0.10/0.38 { 0.10/0.38 "print":1, 0.10/0.38 "print_level": 15, 0.10/0.38 "max_size": 0, 0.10/0.38 "max_depth": 0, 0.10/0.38 "max_length": 0, 0.10/0.38 "max_dseconds": 0, 0.10/0.38 "runs":[ 0.10/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":1}, 0.10/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1}, 0.10/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1}, 0.10/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0}, 0.10/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0}, 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0.10/0.38 0.10/0.38 ]} 0.10/0.38 0.10/0.39 0.10/0.39 **** run 1 fork 0 starts with strategy 0.10/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":1} 0.10/0.39 0.10/0.39 **** run 2 fork 1 starts with strategy 0.10/0.39 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1} 0.10/0.39 0.10/0.39 **** run 3 fork 2 starts with strategy 0.10/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1} 0.10/0.39 0.10/0.39 **** run 4 fork 3 starts with strategy 0.10/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0} 0.10/0.39 0.10/0.39 **** run 5 fork 4 starts with strategy 0.10/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0} 0.10/0.39 0.10/0.39 **** run 6 fork 5 starts with strategy 0.10/0.39 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1} 0.10/0.39 0.10/0.39 **** run 7 fork 6 starts with strategy 0.10/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100} 0.10/0.39 0.10/0.39 **** run 8 fork 7 starts with strategy 0.10/0.39 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1} 0.17/0.49 0.17/0.49 0.17/0.49 fork 1: search terminated without proof. 0.17/0.49 0.17/0.49 0.17/0.49 fork 2: search terminated without proof. 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 4: search terminated without proof. 0.17/0.49 0.17/0.49 0.17/0.49 fork 5: search terminated without proof. 0.17/0.50 0.17/0.50 0.17/0.50 fork 6: 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 **** run 10 fork 1 starts with strategy 0.17/0.51 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4} 0.17/0.51 0.17/0.51 **** run 11 fork 2 starts with strategy 0.17/0.51 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1} 0.17/0.51 0.17/0.51 **** run 12 fork 3 starts with strategy 0.17/0.51 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100} 0.17/0.51 0.17/0.51 **** run 13 fork 4 starts with strategy 0.17/0.51 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0} 0.17/0.51 0.17/0.51 **** run 14 fork 5 starts with strategy 0.17/0.51 {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1} 0.17/0.51 0.17/0.51 **** run 15 fork 6 starts with strategy 0.17/0.51 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1} 0.17/0.51 0.17/0.51 **** run 16 fork 7 starts with strategy 0.17/0.51 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100} 1.65/0.60 1.65/0.60 1.65/0.60 result: proof found 1.65/0.60 for /export/starexec/sandbox2/benchmark/theBenchmark.p 1.65/0.60 by run 1 fork 0 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1} 1.65/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 1.65/0.60 1.65/0.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 1.65/0.60 fof('plus_and_inverse_$sk', plain, (((~(X2 = plus(X1,X3)) | ~int_less(int_zero,X3)) | int_less(X1,X2)) & (((X5 = plus(X4,$sk3(X4,X5))) & int_less(int_zero,$sk3(X4,X5))) | ~int_less(X4,X5))), 1.65/0.60 inference(negpush_and_skolemize,[],['plus_and_inverse'])). 1.65/0.60 fof('plus_and_inverse', axiom, (! [I,J] : ((? [K] : (int_less(int_zero,K) & (J = plus(I,K)))) <=> int_less(I,J))), 1.65/0.60 input). 1.65/0.60 fof('ut_$sk', plain, (~(real_zero = a($sk2,$sk1)) & (int_leq(int_one,$sk1) & (int_less($sk1,$sk2) & int_leq($sk2,n)))), 1.65/0.60 inference(negpush_and_skolemize,[],['ut'])). 1.65/0.60 fof('ut', conjecture, (! [I,J] : (((int_leq(I,n) & int_less(J,I)) & int_leq(int_one,J)) => (real_zero = a(I,J)))), 1.65/0.60 input). 1.65/0.60 fof('qiu_$sk', plain, (((((lu(X4,plus(X4,X3)) = a(X4,plus(X4,X3))) | (~int_leq(X4,X2) | ~int_leq(int_one,X4))) | (~(plus(X2,X3) = X1) | ~int_leq(int_zero,X3))) & (((real_zero = a(plus(X6,X5),X6)) | (~int_leq(X6,X1) | ~int_leq(int_one,X6))) | (~(plus(X1,X5) = X2) | ~int_less(int_zero,X5)))) | (~int_leq(int_one,X1) | (~int_leq(X1,n) | (~int_leq(X2,n) | ~int_leq(int_one,X2))))), 1.65/0.60 inference(negpush_and_skolemize,[],['qiu'])). 1.65/0.60 fof('qiu', hypothesis, (! [I,J] : ((((int_leq(int_one,I) & int_leq(I,n)) & int_leq(J,n)) & int_leq(int_one,J)) => ((! [C] : ((int_less(int_zero,C) & (plus(J,C) = I)) => (! [K] : ((int_leq(int_one,K) & int_leq(K,J)) => (real_zero = a(plus(K,C),K)))))) & (! [C] : ((int_leq(int_zero,C) & (plus(I,C) = J)) => (! [K] : ((int_leq(int_one,K) & int_leq(K,I)) => (lu(K,plus(K,C)) = a(K,plus(K,C)))))))))), 1.65/0.60 input). 1.65/0.60 fof('int_less_transitive_$sk', plain, (int_less(X3,X2) | (~int_less(X1,X2) | ~int_less(X3,X1))), 1.65/0.60 inference(negpush_and_skolemize,[],['int_less_transitive'])). 1.65/0.60 fof('int_less_transitive', axiom, (! [I,J,K] : ((int_less(I,J) & int_less(J,K)) => int_less(I,K))), 1.65/0.60 input). 1.65/0.60 fof('one_successor_of_zero_$sk', plain, ((~int_leq(int_one,X1) | int_less(int_zero,X1)) & (int_leq(int_one,X2) | ~int_less(int_zero,X2))), 1.65/0.60 inference(negpush_and_skolemize,[],['one_successor_of_zero'])). 1.65/0.60 fof('one_successor_of_zero', axiom, (! [I] : (int_leq(int_one,I) <=> int_less(int_zero,I))), 1.65/0.60 input). 1.65/0.60 fof('plus_commutative_$sk', plain, (plus(X2,X1) = plus(X1,X2)), 1.65/0.60 inference(negpush_and_skolemize,[],['plus_commutative'])). 1.65/0.60 fof('plus_commutative', axiom, (! [I,J] : (plus(I,J) = plus(J,I))), 1.65/0.60 input). 1.65/0.60 fof('int_less_irreflexive_$sk', plain, (~(X2 = X1) | ~int_less(X2,X1)), 1.65/0.60 inference(negpush_and_skolemize,[],['int_less_irreflexive'])). 1.65/0.60 fof('int_less_irreflexive', axiom, (! [I,J] : (int_less(I,J) => ~(I = J))), 1.65/0.60 input). 1.65/0.60 fof('int_less_total_$sk', plain, (int_leq(X2,X1) | int_less(X1,X2)), 1.65/0.60 inference(negpush_and_skolemize,[],['int_less_total'])). 1.65/0.60 fof('int_less_total', axiom, (! [I,J] : (int_less(I,J) | int_leq(J,I))), 1.65/0.60 input). 1.65/0.60 fof('int_leq_$sk', plain, (((~(X2 = X1) & ~int_less(X1,X2)) | int_leq(X1,X2)) & (((X4 = X3) | int_less(X3,X4)) | ~int_leq(X3,X4))), 1.65/0.60 inference(negpush_and_skolemize,[],['int_leq'])). 1.65/0.60 fof('int_leq', axiom, (! [I,J] : ((int_less(I,J) | (J = I)) <=> int_leq(I,J))), 1.65/0.60 input). 1.65/0.60 cnf('1', plain, (X = plus(Y,$sk3(Y,X)) | ~int_less(Y,X)), 1.65/0.60 inference(cnf_transformation,[],['plus_and_inverse_$sk'])). 1.65/0.60 cnf('2', plain, (int_less($sk1,$sk2)), 1.65/0.60 inference(cnf_transformation,[],['ut_$sk'])). 1.65/0.60 cnf('3', plain, ($sk2 = plus($sk1,$sk3($sk1,$sk2))), 1.65/0.60 inference(resolution,[],['1','2'])). 1.65/0.60 cnf('4', plain, (real_zero = a(plus(X,Y),X) | plus(Z,Y) != U | ~int_leq(int_one,U) | ~int_leq(int_one,Z) | ~int_leq(int_one,X) | ~int_less(int_zero,Y) | ~int_leq(U,n) | ~int_leq(Z,n) | ~int_leq(X,Z)), 1.65/0.60 inference(cnf_transformation,[],['qiu_$sk'])). 1.65/0.60 cnf('5', plain, (int_leq(int_one,$sk1)), 1.65/0.60 inference(cnf_transformation,[],['ut_$sk'])). 1.65/0.60 cnf('6', plain, (~int_leq($sk1,n) | real_zero = a(plus(X,Y),X) | plus($sk1,Y) != Z | ~int_leq(int_one,Z) | ~int_leq(int_one,X) | ~int_less(int_zero,Y) | ~int_leq(Z,n) | ~int_leq(X,$sk1)), 1.65/0.60 inference(resolution,[],['4','5'])). 1.65/0.60 cnf('7', plain, (int_leq($sk2,n)), 1.65/0.60 inference(cnf_transformation,[],['ut_$sk'])). 1.65/0.60 cnf('8', plain, (~int_leq(int_one,$sk2) | ~int_leq($sk1,n) | real_zero = a(plus(X3,Y3),X3) | plus($sk1,Y3) != $sk2 | ~int_leq(int_one,X3) | ~int_less(int_zero,Y3) | ~int_leq(X3,$sk1)), 1.65/0.60 inference(resolution,[],['6','7'])). 1.65/0.60 cnf('9', plain, (~int_less(X,Y) | ~int_less(Z,X) | int_less(Z,Y)), 1.65/0.60 inference(cnf_transformation,[],['int_less_transitive_$sk'])). 1.65/0.60 cnf('10', plain, (~int_less(X,$sk1) | int_less(X,$sk2)), 1.65/0.60 inference(resolution,[],['9','2'])). 1.65/0.60 cnf('11', plain, (~int_leq(int_one,X) | int_less(int_zero,X)), 1.65/0.60 inference(cnf_transformation,[],['one_successor_of_zero_$sk'])). 1.65/0.60 cnf('12', plain, (int_less(int_zero,$sk1)), 1.65/0.60 inference(resolution,[],['11','5'])). 1.65/0.60 cnf('13', plain, (int_less(int_zero,$sk2)), 1.65/0.60 inference(resolution,[],['10','12'])). 1.65/0.60 cnf('14', plain, (~int_less(int_zero,X) | int_leq(int_one,X)), 1.65/0.60 inference(cnf_transformation,[],['one_successor_of_zero_$sk'])). 1.65/0.60 cnf('15', plain, (int_leq(int_one,$sk2)), 1.65/0.60 inference(resolution,[],['13','14'])). 1.65/0.60 cnf('16', plain, (~int_leq($sk1,n) | real_zero = a(plus(X,Y),X) | plus($sk1,Y) != $sk2 | ~int_leq(int_one,X) | ~int_less(int_zero,Y) | ~int_leq(X,$sk1)), 1.65/0.60 inference(simplify,[],['8','15'])). 1.65/0.60 cnf('17', plain, (real_zero != a($sk2,$sk1)), 1.65/0.60 inference(cnf_transformation,[],['ut_$sk'])). 1.65/0.60 cnf('18', plain, (plus(X,Y) = plus(Y,X)), 1.65/0.60 inference(cnf_transformation,[],['plus_commutative_$sk'])). 1.65/0.60 cnf('19', plain, (plus($sk3($sk1,$sk2),$sk1) = $sk2), 1.65/0.60 inference(paramodulation,[],['3','18'])). 1.65/0.60 cnf('20', plain, (plus($sk1,$sk3($sk1,$sk2)) = $sk2), 1.65/0.60 inference(paramodulation,[],['19','18'])). 1.65/0.60 cnf('21', plain, (int_leq(int_one,$sk1)), 1.65/0.60 inference(cnf_transformation,[],['ut_$sk'])). 1.65/0.60 cnf('22', plain, (int_less(int_zero,$sk3(X,Y)) | ~int_less(X,Y)), 1.65/0.60 inference(cnf_transformation,[],['plus_and_inverse_$sk'])). 1.65/0.60 cnf('23', plain, (int_less(int_zero,$sk3($sk1,$sk2))), 1.65/0.60 inference(resolution,[],['22','2'])). 1.65/0.60 cnf('24', plain, (~int_less(X,Y) | X != Y), 1.65/0.60 inference(cnf_transformation,[],['int_less_irreflexive_$sk'])). 1.65/0.60 cnf('25', plain, (~int_less(X,X)), 1.65/0.60 inference(reflexivity,[],['24'])). 1.65/0.60 cnf('26', plain, (int_leq(X,Y) | int_less(Y,X)), 1.65/0.60 inference(cnf_transformation,[],['int_less_total_$sk'])). 1.65/0.60 cnf('27', plain, (int_leq(X3,X3)), 1.65/0.60 inference(resolution,[],['25','26'])). 1.65/0.60 cnf('28', plain, (~int_leq($sk1,n)), 1.65/0.60 inference(paramodulation,[then_simplify],['3','16','17','20','21','23','27'])). 1.65/0.60 cnf('29', plain, (~int_less(X,Y) | int_leq(X,Y)), 1.65/0.60 inference(cnf_transformation,[],['int_leq_$sk'])). 1.65/0.60 cnf('30', plain, (~int_less($sk1,n)), 1.65/0.60 inference(resolution,[],['28','29'])). 1.65/0.60 cnf('31', plain, (~int_less($sk2,X) | int_less($sk1,X)), 1.65/0.60 inference(resolution,[],['9','2'])). 1.65/0.60 cnf('32', plain, (~int_leq(X,Y) | int_less(X,Y) | Y = X), 1.65/0.60 inference(cnf_transformation,[],['int_leq_$sk'])). 1.65/0.60 cnf('33', plain, (int_less($sk2,n) | n = $sk2), 1.65/0.60 inference(resolution,[],['32','7'])). 1.65/0.60 cnf('34', plain, (int_leq($sk1,$sk2)), 1.65/0.60 inference(resolution,[],['29','2'])). 1.65/0.60 cnf('35', plain, (int_less($sk2,n)), 1.65/0.60 inference(paramodulation,[then_simplify],['33','28','34'])). 1.65/0.60 cnf('36', plain, ($false), 1.65/0.60 inference(resolution,[then_simplify],['30','31','35'])). 1.65/0.60 1.65/0.60 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 1.65/0.60 1.65/0.60 run 1 fork 0 statistics: 1.65/0.60 ---------------------------------- 1.65/0.60 this run seconds: 0.056482 1.65/0.60 total seconds: 0.058320 1.65/0.60 stat_given_used: 302 1.65/0.60 stat_given_used_at_endgame: 0 1.65/0.60 stat_given_candidates: 712 1.65/0.60 stat_given_candidates_at_endgame: 0 1.65/0.60 stat_given_candidates_h: 0 1.65/0.60 stat_binres_derived_cl: 2865 1.65/0.60 stat_binres_derived_cl_h: 0 1.65/0.60 stat_factor_derived_cl: 200 1.65/0.60 stat_para_derived_cl: 1259 1.65/0.60 stat_tautologies_discarded: 7 1.65/0.60 stat_forward_subsumed: 634 1.65/0.60 stat_derived_cut: 1246 1.65/0.60 stat_derived_rewritten: 34 1.65/0.60 stat_weight_discarded_building: 0 1.65/0.60 stat_weight_discarded_cl: 129 1.65/0.60 stat_internlimit_discarded_cl: 0 1.65/0.60 stat_simplified: 60 simplified 0 derived 0 given 1.65/0.60 stat_kept_cl: 3514 1.65/0.60 stat_built_cl: 4307 1.65/0.60 stat_hyperres_partial_cl: 0 1.65/0.60 stat_made_rewriters: 11 1.65/0.60 stat_backward_subsumed: 0 1.65/0.60 stat_propagated_subsumed: 0 1.65/0.60 stat_clsubs_attempted: 2478 1.65/0.60 stat_clsubs_fact_groundunit_found: 7 1.65/0.60 stat_clsubs_rule_groundunit_found: 20 1.65/0.60 stat_clsubs_top_meta_attempted: 57533 1.65/0.60 stat_clsubs_top_meta_failed: 55055 1.65/0.60 stat_clsubs_top_meta_nonpref_attempted: 57533 1.65/0.60 stat_clsubs_top_meta_nonpref_succeeded: 12448 1.65/0.60 stat_clsubs_top_meta_pref_attempted: 12448 1.65/0.60 stat_clsubs_top_meta_pref1_succeeded: 5452 1.65/0.60 stat_clsubs_top_meta_pref2_succeeded: 4295 1.65/0.60 stat_clsubs_top_meta_pref3_succeeded: 2478 1.65/0.60 stat_clsubs_top_meta_pref_succeeded: 2478 1.65/0.60 stat_clsubs_meta_attempted: 5210 1.65/0.60 stat_clsubs_meta_failed: 1599 1.65/0.60 stat_clsubs_predsymbs_attempted: 0 1.65/0.60 stat_clsubs_unit_attempted: 1126 1.65/0.60 stat_clsubs_full_attempted: 1352 1.65/0.60 stat_forwardsubs_attempted: 4278 1.65/0.60 stat_lit_hash_added: 295 1.65/0.60 stat_lit_hash_computed: 24256 1.65/0.60 stat_lit_hash_match_found: 2238 1.65/0.60 stat_lit_hash_match_miss: 43776 1.65/0.60 stat_lit_hash_cut_ok: 1551 1.65/0.60 stat_lit_strong_cut_ok: 424 1.65/0.60 stat_lit_hash_subsume_ok: 634 1.65/0.60 clqueue els 10000000 used 1 1.65/0.60 clactive els 10000000 used 303 1.65/0.60 clactivesubsume els 10000000 used 1183 1.65/0.60 queue_termbuf els 200000000 used 333694 1.65/0.60 hyper_termbuf els 100000000 used 1 1.65/0.60 active_termbuf els 100000000 used 12565 1.65/0.60 varstack els 5000 last used 1 1.65/0.60 given_termbuf els 10000000 last used 1 1.65/0.60 simplified_termbuf els 10000000 last used 1 1.65/0.60 derived_termbuf els 10000000 last used 22 1.65/0.60 wr_mallocs: 5809 1.65/0.60 wr_callocs: 19 1.65/0.60 wr_reallocs: 207 1.65/0.60 wr_frees: 2 1.65/0.60 wr_malloc_bytes: 4162776548 1.65/0.60 wr_calloc_bytes: 96065504 1.65/0.60 wr_realloc_bytes: 55960 1.65/0.60 wr_realloc_freebytes: 0 1.65/0.60 ---------------------------------- 1.65/0.62 EOF