0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : gkc %s 0.09/0.29 % Computer : n015.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Thu Jul 2 08:49:15 EDT 2020 0.09/0.30 % CPUTime : 0.14/0.35 0.14/0.35 input clause set summed statistics: 0.14/0.35 ---------------------------------- 0.14/0.35 in_clause_count: 843 0.14/0.35 in_rule_clause_count: 830 0.14/0.35 in_fact_clause_count: 13 0.14/0.35 in_answer_clause_count: 0 0.14/0.35 in_ground_clause_count: 19 0.14/0.35 in_unit_clause_count: 154 0.14/0.35 in_horn_clause_count: 687 0.14/0.35 in_pos_clause_count: 188 0.14/0.35 in_neg_clause_count: 49 0.14/0.35 in_poseq_clause_count: 326 0.14/0.35 in_negeq_clause_count: 160 0.14/0.35 in_unitposeq_clause_count: 85 0.14/0.35 in_chain_clause_count: 0 0.14/0.35 in_min_length: 1 0.14/0.35 in_max_length: 8 0.14/0.35 in_min_depth: 1 0.14/0.35 in_max_depth: 6 0.14/0.35 in_min_size: 2 0.14/0.35 in_max_size: 100 0.14/0.35 in_min_vars: 0 0.14/0.35 in_max_vars: 9 0.14/0.35 in_extaxiom_count: 0 0.14/0.35 in_axiom_count: 834 0.14/0.35 in_assumption_count: 8 0.14/0.35 in_goal_count: 1 0.14/0.35 in_neg_goal_count: 1 0.14/0.35 in_pos_goal_count: 0 0.14/0.35 in_posunit_goal_count: 0 0.14/0.35 0.14/0.35 auto guide: 0.14/0.35 ----------- 0.14/0.35 { 0.14/0.35 "print":1, 0.14/0.35 "print_level": 15, 0.14/0.35 "max_size": 0, 0.14/0.35 "max_depth": 0, 0.14/0.35 "max_length": 0, 0.14/0.35 "max_seconds": 0, 0.14/0.35 "runs":[ 0.14/0.35 {"max_seconds": 1,"strategy":["hardness_pref"],"query_preference":0}, 0.14/0.35 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0}, 0.14/0.35 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1}, 0.14/0.35 {"max_seconds": 1,"strategy":["query_focus"],"query_preference":1}, 0.14/0.35 {"max_seconds": 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{"max_seconds":1,"strategy":["hardness_pref"],"query_preference":0} 0.14/0.35 0.14/0.35 **** run 2 fork 1 starts with strategy 0.14/0.35 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":0} 0.14/0.35 0.14/0.35 **** run 3 fork 2 starts with strategy 0.14/0.35 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1} 0.14/0.35 0.14/0.35 **** run 4 fork 3 starts with strategy 0.14/0.35 {"max_seconds":1,"strategy":["query_focus"],"query_preference":1} 0.14/0.35 0.14/0.35 **** run 5 fork 4 starts with strategy 0.14/0.35 {"max_seconds":1,"strategy":["query_focus"],"query_preference":3} 0.14/0.35 0.14/0.35 **** run 6 fork 5 starts with strategy 0.14/0.35 {"max_seconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0} 0.14/0.35 0.14/0.35 **** run 7 fork 6 starts with strategy 0.14/0.35 {"max_seconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1} 0.14/0.35 0.14/0.35 **** run 8 fork 7 starts with strategy 0.14/0.35 {"max_seconds":1,"strategy":["unit"],"query_preference":0} 4.14/0.88 4.14/0.88 fork 2: passed time ratio 0.50 4.14/0.89 fork 7: passed time ratio 0.51 4.14/0.89 fork 1: passed time ratio 0.51 4.44/0.90 fork 6: passed time ratio 0.50 4.44/0.90 fork 4: passed time ratio 0.50 4.44/0.91 fork 5: passed time ratio 0.50 4.44/0.91 fork 3: passed time ratio 0.51 5.28/1.04 fork 0: passed time ratio 0.66 5.76/1.09 fork 1: passed time ratio 0.70 5.76/1.09 fork 0: passed time ratio 0.71 5.76/1.10 fork 3: passed time ratio 0.70 5.76/1.10 fork 4: passed time ratio 0.71 5.76/1.10 fork 6: passed time ratio 0.71 5.76/1.12 fork 5: passed time ratio 0.71 6.94/1.24 fork 4: passed time ratio 0.85 6.94/1.25 fork 1: passed time ratio 0.86 7.26/1.25 fork 3: passed time ratio 0.86 7.26/1.25 fork 0: passed time ratio 0.87 7.26/1.25 fork 6: passed time ratio 0.86 7.26/1.27 fork 5: passed time ratio 0.85 7.26/1.28 fork 7: passed time ratio 0.90 7.26/1.29 fork 1: passed time ratio 0.90 7.26/1.29 fork 0: passed time ratio 0.91 7.26/1.30 fork 4: passed time ratio 0.90 7.26/1.30 fork 3: passed time ratio 0.91 7.26/1.31 fork 6: passed time ratio 0.91 7.26/1.31 fork 4: 1000 given filled 1% 7.26/1.32 fork 3: 1000 given filled 1% 7.26/1.32 fork 6: 1000 given filled 1% 7.26/1.33 fork 5: passed time ratio 0.90 7.26/1.33 fork 5: 1000 given filled 1% 7.26/1.33 fork 4: 2000 given filled 1% 7.26/1.34 fork 7: 1000 given filled 1% 7.97/1.34 fork 3: 2000 given filled 1% 7.97/1.34 fork 5: 2000 given filled 1% 7.97/1.34 fork 6: 2000 given filled 1% 7.97/1.34 fork 1: 1000 given filled 1% 7.97/1.35 fork 5: 3000 given filled 1% 7.97/1.35 fork 4: 3000 given filled 1% 7.97/1.35 fork 0: 1000 given filled 1% 7.97/1.35 fork 5: 4000 given filled 1% 7.97/1.36 fork 3: 3000 given filled 1% 7.97/1.36 fork 6: 3000 given filled 1% 7.97/1.36 fork 5: 5000 given filled 1% 7.97/1.37 fork 5: 6000 given filled 1% 7.97/1.37 fork 4: 4000 given filled 1% 7.97/1.38 fork 5: 7000 given filled 1% 7.97/1.38 fork 3: 4000 given filled 1% 7.97/1.38 7.97/1.38 fork 7: search terminated without proof. 7.97/1.38 7.97/1.38 7.97/1.38 fork 0: search terminated without proof. 8.33/1.38 8.33/1.38 fork 6: 4000 given filled 1% 8.33/1.38 8.33/1.38 fork 1: search terminated without proof. 8.33/1.39 8.33/1.39 fork 5: 8000 given filled 1% 8.33/1.39 fork 4: 5000 given filled 1% 8.33/1.39 8.33/1.39 fork 3: search terminated without proof. 8.33/1.39 8.33/1.39 fork 5: 9000 given filled 1% 8.33/1.39 8.33/1.39 fork 4: search terminated without proof. 8.33/1.40 8.33/1.40 8.33/1.40 fork 6: search terminated without proof. 8.33/1.40 8.33/1.40 fork 5: 10000 given filled 1% 8.33/1.42 **** run 9 fork 0 starts with strategy 8.33/1.42 {"max_seconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1} 8.33/1.42 8.33/1.42 **** run 16 fork 7 starts with strategy 8.33/1.42 {"max_seconds":1,"strategy":["query_focus"],"query_preference":1,"weight_select_ratio":30,"depth_penalty":100,"length_penalty":100} 8.33/1.42 8.33/1.42 **** run 10 fork 1 starts with strategy 8.33/1.42 {"max_seconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100} 8.33/1.42 8.33/1.42 8.33/1.42 fork 5: search terminated without proof. 8.33/1.43 8.33/1.43 **** run 12 fork 3 starts with strategy 8.33/1.43 {"max_seconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0} 8.33/1.43 8.33/1.43 **** run 13 fork 4 starts with strategy 8.33/1.43 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1,"rewrite":0} 8.33/1.43 8.33/1.43 **** run 15 fork 6 starts with strategy 8.33/1.43 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100} 8.92/1.46 8.92/1.46 **** run 14 fork 5 starts with strategy 8.92/1.46 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100} 9.65/1.58 9.65/1.58 fork 4: 1000 given filled 0% 12.04/1.89 12.04/1.89 fork 2: search terminated without proof. 12.60/1.93 12.60/1.93 **** run 11 fork 2 starts with strategy 12.60/1.93 {"max_seconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100} 12.60/1.94 12.60/1.94 fork 0: passed time ratio 0.50 12.60/1.95 fork 3: passed time ratio 0.50 12.60/1.96 fork 7: passed time ratio 0.51 12.96/1.97 fork 1: passed time ratio 0.51 12.96/2.01 fork 5: passed time ratio 0.51 13.84/2.12 fork 4: passed time ratio 0.67 14.43/2.16 fork 4: passed time ratio 0.70 14.43/2.16 fork 7: passed time ratio 0.70 14.43/2.17 fork 1: passed time ratio 0.70 14.43/2.17 fork 3: passed time ratio 0.71 14.43/2.18 fork 6: passed time ratio 0.72 14.43/2.18 fork 6: passed time ratio 0.72 14.43/2.21 fork 5: passed time ratio 0.70 15.00/2.25 fork 3: 1000 given filled 1% 15.47/2.31 fork 7: passed time ratio 0.85 15.47/2.31 fork 4: passed time ratio 0.85 15.47/2.31 fork 6: passed time ratio 0.86 15.47/2.32 fork 1: passed time ratio 0.86 15.47/2.34 fork 3: passed time ratio 0.89 15.47/2.35 fork 0: passed time ratio 0.90 15.47/2.35 fork 3: passed time ratio 0.90 16.09/2.36 fork 4: passed time ratio 0.90 16.09/2.36 fork 6: passed time ratio 0.90 16.09/2.36 fork 7: passed time ratio 0.90 16.09/2.36 fork 4: 2000 given filled 1% 16.09/2.37 fork 0: 1000 given filled 1% 16.09/2.37 fork 1: passed time ratio 0.90 16.09/2.37 fork 4: 3000 given filled 1% 16.09/2.37 fork 7: 1000 given filled 1% 16.09/2.38 fork 5: passed time ratio 0.85 16.09/2.38 fork 3: 2000 given filled 1% 16.09/2.38 fork 1: 1000 given filled 1% 16.09/2.38 fork 4: 4000 given filled 1% 16.32/2.39 fork 7: 2000 given filled 1% 16.32/2.39 fork 4: 5000 given filled 1% 16.32/2.40 fork 6: 1000 given filled 1% 16.32/2.40 fork 1: 2000 given filled 1% 16.32/2.40 fork 4: 6000 given filled 1% 16.32/2.41 fork 3: 3000 given filled 1% 16.32/2.41 fork 7: 3000 given filled 1% 16.32/2.42 fork 4: 7000 given filled 1% 16.32/2.42 fork 1: 3000 given filled 1% 16.63/2.43 fork 5: passed time ratio 0.90 16.63/2.43 fork 4: 8000 given filled 1% 16.63/2.43 fork 7: 4000 given filled 1% 16.71/2.44 fork 3: 4000 given filled 1% 16.71/2.44 fork 0: 2000 given filled 1% 16.71/2.44 fork 4: 9000 given 16.71/2.44 fork 5: 1000 given filled 1% filled 1% 16.71/2.44 16.71/2.44 fork 0: search terminated without proof. 16.71/2.45 16.71/2.45 fork 7: 5000 given filled 1% 16.71/2.45 fork 1: 4000 given filled 1% 16.71/2.45 fork 4: 10000 given filled 1% 16.71/2.45 16.71/2.45 fork 3: search terminated without proof. 16.71/2.46 16.71/2.46 16.71/2.46 fork 4: search terminated without proof. 16.71/2.46 16.71/2.46 16.71/2.46 fork 7: search terminated without proof. 16.71/2.46 16.71/2.46 16.71/2.46 fork 6: search terminated without proof. 16.71/2.46 16.71/2.46 fork 2: passed time ratio 0.50 16.71/2.46 16.71/2.46 fork 1: search terminated without proof. 16.71/2.48 16.71/2.48 **** run 17 fork 0 starts with strategy 16.71/2.48 {"max_seconds":1,"strategy":["query_focus"],"query_preference":3,"weight_select_ratio":20,"var_weight":1,"repeat_var_weight":2} 16.71/2.48 16.71/2.48 **** run 20 fork 3 starts with strategy 16.71/2.48 {"max_seconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1} 16.71/2.49 16.71/2.49 **** run 23 fork 6 starts with strategy 16.71/2.49 16.71/2.49 **** run 24 fork 7 starts with strategy 16.71/2.49 {"max_seconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1} 16.71/2.49 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3} 16.71/2.49 16.71/2.49 **** run 21 fork 4 starts with strategy 16.71/2.49 {"max_seconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":30,"depth_penalty":100} 16.71/2.50 16.71/2.50 **** run 18 fork 1 starts with strategy 16.71/2.50 {"max_seconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0,"weight_select_ratio":20,"var_weight":1,"repeat_var_weight":2} 17.27/2.51 17.27/2.51 fork 5: 2000 given filled 1% 17.27/2.53 17.27/2.53 fork 5: search terminated without proof. 17.27/2.55 17.27/2.55 **** run 22 fork 5 starts with strategy 17.27/2.55 {"max_seconds":1,"strategy":["unit"],"query_preference":1,"max_depth":2} 19.10/2.74 19.10/2.74 fork 2: passed time ratio 0.78 19.10/2.75 fork 5: 1000 given filled 0% 19.75/2.83 fork 2: passed time ratio 0.87 19.75/2.86 fork 2: passed time ratio 0.90 20.23/2.88 fork 6: 1000 given filled 0% 20.23/2.89 fork 2: 1000 given filled 1% 20.23/2.93 fork 5: 2000 given filled 0% 20.23/2.95 fork 2: 2000 given filled 1% 20.23/2.96 20.23/2.96 fork 2: search terminated without proof. 21.11/2.99 21.11/2.99 **** run 19 fork 2 starts with strategy 21.11/2.99 {"max_seconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1,"max_depth":4,"var_weight":1} 21.30/3.02 21.30/3.02 fork 7: passed time ratio 0.50 21.30/3.02 fork 0: passed time ratio 0.50 21.30/3.02 fork 3: passed time ratio 0.51 21.37/3.02 fork 1: passed time ratio 0.50 21.37/3.03 fork 6: passed time ratio 0.50 21.37/3.04 fork 4: passed time ratio 0.50 21.37/3.09 fork 5: 3000 given filled 0% 22.03/3.11 fork 5: passed time ratio 0.50 22.62/3.22 fork 1: passed time ratio 0.70 22.62/3.23 fork 6: passed time ratio 0.70 22.62/3.23 fork 0: passed time ratio 0.72 22.62/3.25 fork 4: passed time ratio 0.71 23.89/3.37 fork 0: passed time ratio 0.85 23.89/3.37 fork 5: 4000 given filled 0% 23.89/3.38 fork 1: passed time ratio 0.85 23.89/3.38 fork 6: passed time ratio 0.85 23.89/3.40 fork 4: passed time ratio 0.86 23.89/3.42 fork 3: passed time ratio 0.90 23.89/3.42 fork 0: passed time ratio 0.90 24.54/3.43 fork 1: passed time ratio 0.90 24.54/3.43 fork 6: passed time ratio 0.90 24.54/3.43 fork 1: 1000 given filled 1% 24.54/3.44 fork 1: 2000 given filled 1% 24.54/3.44 fork 0: 1000 given filled 1% 24.54/3.44 fork 1: 3000 given filled 1% 24.54/3.44 fork 6: 2000 given filled 0% 24.54/3.45 fork 4: passed time ratio 0.91 24.54/3.45 fork 1: 4000 given filled 1% 24.54/3.46 fork 1: 5000 given filled 1% 24.54/3.46 fork 0: 2000 given filled 1% 24.54/3.46 fork 1: 6000 given filled 1% 24.54/3.47 fork 4: 1000 given filled 1% 24.54/3.47 fork 3: 1000 given filled 1% 24.54/3.47 fork 1: 7000 given filled 1% 24.54/3.48 fork 1: 8000 given filled 1% 24.54/3.48 fork 6: 3000 given filled 0% 24.54/3.48 fork 4: 2000 given filled 1% 24.54/3.48 fork 0: 3000 given filled 1% 24.54/3.48 fork 1: 9000 given filled 1% 24.54/3.49 fork 1: 10000 given filled 1% 25.13/3.50 fork 4: 3000 given filled 1% 25.13/3.51 fork 0: 4000 given filled 1% 25.13/3.51 25.13/3.51 fork 3: search terminated without proof. 25.13/3.52 25.13/3.52 25.13/3.52 fork 0: search terminated without proof. 25.13/3.52 25.13/3.52 25.13/3.52 fork 1: search terminated without proof. 25.13/3.53 25.13/3.53 fork 6: 4000 given filled 0% 25.13/3.53 fork 5: passed time ratio 0.90 25.13/3.53 fork 2: passed time ratio 0.50 25.13/3.53 fork 4: 4000 given filled 1% 25.13/3.53 25.13/3.53 fork 6: search terminated without proof. 25.13/3.54 25.13/3.54 fork 4: 5000 given filled 1% 25.13/3.54 25.13/3.54 fork 4: search terminated without proof. 25.13/3.54 25.13/3.54 fork 5: 5000 given filled 0% 25.13/3.55 25.13/3.55 fork 7: search terminated without proof. 25.13/3.55 25.13/3.55 **** run 28 fork 3 starts with strategy 25.13/3.55 {"max_seconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100} 25.13/3.55 25.13/3.55 **** run 25 fork 0 starts with strategy 25.13/3.55 {"max_seconds":1,"strategy":["query_focus"],"query_preference":2} 25.13/3.55 25.13/3.55 **** run 26 fork 1 starts with strategy 25.13/3.55 {"max_seconds":1,"strategy":["query_focus","positive_pref"],"query_preference":2} 25.13/3.55 25.13/3.55 **** run 31 fork 6 starts with strategy 25.13/3.55 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":50,"length_penalty":100} 25.74/3.57 25.74/3.57 **** run 29 fork 4 starts with strategy 25.74/3.57 {"max_seconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":50,"length_penalty":100} 25.74/3.58 25.74/3.58 **** run 32 fork 7 starts with strategy 25.74/3.58 {"max_seconds":1,"strategy":["negative_pref","posunitpara"],"query_preference":1,"max_depth":2,"depth_penalty":50,"length_penalty":100} 25.74/3.58 25.74/3.58 25.74/3.58 fork 5: search finished without proof, result code 1. 25.93/3.61 25.93/3.61 **** run 30 fork 5 starts with strategy 25.93/3.61 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1,"depth_penalty":50,"length_penalty":100} 26.14/3.72 26.14/3.72 fork 7: 1000 given filled 0% 26.94/3.73 fork 2: passed time ratio 0.70 28.14/3.88 fork 2: passed time ratio 0.86 28.14/3.88 rgenloop processing proof found by wr_paramodulate_from_all_active 28.14/3.89 28.14/3.89 28.14/3.89 result: proof found 28.14/3.89 by run 32 fork 7 strat {"max_seconds":1,"strategy":["negative_pref","posunitpara"],"query_preference":1,"max_depth":2,"depth_penalty":50,"length_penalty":100} 28.14/3.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p. 28.14/3.89 28.14/3.89 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 28.14/3.89 fof('fact_total__on__def_$sk', plain, ((~c_Relation_Ototal__on(X3,X2,X1) | ((((c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X4,X5),X1) | c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X5,X4),X1)) | (X4 = X5)) | ~c_member(X3,X5,X2)) | ~c_member(X3,X4,X2))) & (c_Relation_Ototal__on(X8,X7,X6) | ((((~c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,$sk55(X6,X7,X8),$sk56(X6,X7,X8)),X6) & ~c_member(tc_prod(X8,X8),c_Product__Type_OPair(X8,X8,$sk56(X6,X7,X8),$sk55(X6,X7,X8)),X6)) & ~($sk55(X6,X7,X8) = $sk56(X6,X7,X8))) & c_member(X8,$sk56(X6,X7,X8),X7)) & c_member(X8,$sk55(X6,X7,X8),X7)))), 28.14/3.89 inference(negpush_and_skolemize,[],['fact_total__on__def'])). 28.14/3.89 fof('fact_total__on__def', axiom, (! [V_r_2,V_A_2,T_a] : (c_Relation_Ototal__on(T_a,V_A_2,V_r_2) <=> (! [B_x] : (c_member(T_a,B_x,V_A_2) => (! [B_xa] : (c_member(T_a,B_xa,V_A_2) => (~(B_x = B_xa) => (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2) | c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2))))))))), 28.14/3.89 input). 28.14/3.89 fof('conj_1_$sk', plain, (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X1)) & (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2)) & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2)))), 28.14/3.89 inference(negpush_and_skolemize,[],['conj_1'])). 28.14/3.89 fof('conj_1', hypothesis, (! [B_x] : ((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x))) & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,B_x)))), 28.14/3.89 input). 28.14/3.89 fof('fact_iso__tuple__UNIV__I_$sk', plain, c_member(X2,X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))), 28.14/3.89 inference(negpush_and_skolemize,[],['fact_iso__tuple__UNIV__I'])). 28.14/3.89 fof('fact_iso__tuple__UNIV__I', axiom, (! [V_x_2,T_a] : c_member(T_a,V_x_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))), 28.14/3.89 input). 28.14/3.89 fof('conj_4_$sk', plain, ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)), 28.14/3.89 inference(negpush_and_skolemize,[],['conj_4'])). 28.14/3.89 fof('conj_4', conjecture, c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)), 28.14/3.89 input). 28.14/3.89 fof('fact_in__below_$sk', plain, ((((((~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X4),X3) & (X1 = X2)) | (((((~(X4 = X1) & ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X1),X3)) & (X2 = X5)) | (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X1),X3) & ~(X2 = X5))) & ~(X2 = X1)) | (X1 = X5))) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X1),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X4))) & (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X4),X3) | ~(X1 = X2)) & ((((((X4 = X1) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X1),X3)) | ~(X2 = X5)) & (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X1),X3) | (X2 = X5))) | (X2 = X1)) & ~(X1 = X5))) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X1),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X4)))) | ~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X3,c_Arrow__Order__Mirabelle_OLin)) | (X2 = X4)), 28.14/3.89 inference(negpush_and_skolemize,[],['fact_in__below'])). 28.14/3.89 fof('fact_in__below', axiom, (! [V_y_2,V_x_2,V_L_2,V_b_2,V_a_2] : (~(V_a_2 = V_b_2) => (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_L_2,c_Arrow__Order__Mirabelle_OLin) => (((~(V_y_2 = V_x_2) & (~(V_a_2 = V_y_2) => ((~(V_a_2 = V_x_2) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)) & ((V_a_2 = V_x_2) => (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_b_2,V_y_2),V_L_2) | (V_b_2 = V_y_2)))))) & ((V_y_2 = V_a_2) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_b_2),V_L_2))) <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_a_2,V_b_2)))))), 28.14/3.89 input). 28.14/3.89 fof('fact_trans__def_$sk', plain, ((~c_Relation_Otrans(X2,X1) | ((c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X5),X1) | ~c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X5),X1)) | ~c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X1))) & (c_Relation_Otrans(X7,X6) | ((~c_member(tc_prod(X7,X7),c_Product__Type_OPair(X7,X7,$sk53(X6,X7),$sk54(X6,X7)),X6) & c_member(tc_prod(X7,X7),c_Product__Type_OPair(X7,X7,$sk52(X6,X7),$sk54(X6,X7)),X6)) & c_member(tc_prod(X7,X7),c_Product__Type_OPair(X7,X7,$sk53(X6,X7),$sk52(X6,X7)),X6)))), 28.14/3.89 inference(negpush_and_skolemize,[],['fact_trans__def'])). 28.14/3.89 fof('fact_trans__def', axiom, (! [V_r_2,T_a] : (c_Relation_Otrans(T_a,V_r_2) <=> (! [B_x,B_y] : (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2) => (! [B_z] : (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2) => c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2))))))), 28.14/3.89 input). 28.14/3.89 fof('conj_2', hypothesis, c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)), 28.14/3.89 input). 28.14/3.89 fof('conj_3_$sk', plain, ((c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P)) & (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)))) | (~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$sk22)) | (~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,$sk23)) | ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$sk23))))), 28.14/3.89 inference(negpush_and_skolemize,[],['conj_3'])). 28.14/3.89 fof('conj_3', hypothesis, ((! [B_x] : ((c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x)) & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,B_x))) & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,B_x)))) => ((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))) & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P)))), 28.14/3.89 input). 28.14/3.89 fof('fact_irrefl__def_$sk', plain, ((c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,$sk44(X1,X2),$sk44(X1,X2)),X1) | c_Relation_Oirrefl(X2,X1)) & (~c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X5,X5),X3) | ~c_Relation_Oirrefl(X4,X3))), 28.14/3.89 inference(negpush_and_skolemize,[],['fact_irrefl__def'])). 28.14/3.89 fof('fact_irrefl__def', axiom, (! [V_r_2,T_a] : ((! [B_x] : ~c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2)) <=> c_Relation_Oirrefl(T_a,V_r_2))), 28.14/3.89 input). 28.14/3.89 fof('conj_0_$sk', plain, (((c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_F(X1)) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(X1,v_i))) | (X2 = X3)) | (~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,$sk74(X1))) | (~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X1,$sk75(X1))) | ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,$sk75(X1)))))), 28.14/3.89 inference(negpush_and_skolemize,[],['conj_0'])). 28.14/3.89 fof('conj_0', hypothesis, (! [B_P] : ((! [B_x] : ((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,B_x)) & c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(B_P,B_x))) & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(B_P,B_x)))) => (! [B_a,B_b] : (~(B_b = B_a) => (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_P,v_i)) => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),v_F(B_P))))))), 28.14/3.89 input). 28.14/3.89 cnf('1', plain, (c_member(tc_prod(X,X),c_Product__Type_OPair(X,X,Y,Z),U) | c_member(tc_prod(X,X),c_Product__Type_OPair(X,X,Z,Y),U) | ~c_member(X,Z,V) | ~c_member(X,Y,V) | ~c_Relation_Ototal__on(X,V,U) | Z = Y), 28.14/3.89 inference(cnf_transformation,[],['fact_total__on__def_$sk'])). 28.14/3.89 cnf('2', plain, (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X))), 28.14/3.89 inference(cnf_transformation,[],['conj_1_$sk'])). 28.14/3.89 cnf('3', plain, (c_member(XX0,XX1,c_Orderings_Otop__class_Otop(tc_fun(XX0,tc_HOL_Obool)))), 28.14/3.89 inference(cnf_transformation,[],['fact_iso__tuple__UNIV__I_$sk'])). 28.14/3.89 cnf('4', plain, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X,Y),hAPP(v_P,Z)) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,Y,X),hAPP(v_P,Z)) | X = Y), 28.14/3.89 inference(resolution,[then_simplify],['1','2','3','3'])). 28.14/3.89 cnf('5', plain, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i))), 28.14/3.89 inference(cnf_transformation,[],['conj_4_$sk'])). 28.14/3.89 cnf('6', plain, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),hAPP(v_P,v_i)) | v_a = v_b), 28.14/3.89 inference(resolution,[],['4','5'])). 28.14/3.89 cnf('7', plain, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X,Y),Z) | ~$df1(U,V,Z,Y,X)), 28.14/3.89 inference(cnf_transformation,[],['fact_in__below_$sk'])). 28.14/3.89 cnf('8', plain, (v_a = v_b | ~$df1(X,Y,hAPP(v_P,v_i),v_a,v_b)), 28.14/3.89 inference(resolution,[],['6','7'])). 28.14/3.89 cnf('9', plain, (~c_member(tc_prod(X,X),c_Product__Type_OPair(X,X,Y,Z),U) | ~c_member(tc_prod(X,X),c_Product__Type_OPair(X,X,Z,V),U) | c_member(tc_prod(X,X),c_Product__Type_OPair(X,X,Y,V),U) | ~c_Relation_Otrans(X,U)), 28.14/3.89 inference(cnf_transformation,[],['fact_trans__def_$sk'])). 28.14/3.89 cnf('10', plain, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P))), 28.14/3.89 inference(cnf_transformation,[],['conj_2'])). 28.14/3.89 cnf('11', plain, (~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,$sk23)) | ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$sk23)) | ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$sk22)) | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), 28.14/3.89 inference(cnf_transformation,[],['conj_3_$sk'])). 28.14/3.89 cnf('12', plain, (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,XX0))), 28.14/3.89 inference(cnf_transformation,[],['conj_1_$sk'])). 28.14/3.89 cnf('13', plain, (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,XX0))), 28.14/3.89 inference(cnf_transformation,[],['conj_1_$sk'])). 28.14/3.89 cnf('14', plain, (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), 28.14/3.89 inference(resolution,[then_simplify],['11','2','12','13'])). 28.14/3.89 cnf('15', plain, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X),v_F(v_P)) | ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X),v_F(v_P))), 28.14/3.89 inference(resolution,[then_simplify],['9','10','14'])). 28.14/3.89 cnf('16', plain, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X,Y),Z) | $df1(U,V,Z,Y,X) | V != U), 28.14/3.89 inference(cnf_transformation,[],['fact_in__below_$sk'])). 28.14/3.89 cnf('17', plain, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X,Y),Z) | $df1(U,U,Z,Y,X)), 28.14/3.89 inference(reflexivity,[],['16'])). 28.14/3.89 cnf('18', plain, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X),v_F(v_P)) | $df1(Y,Y,v_F(v_P),X,v_b)), 28.14/3.89 inference(resolution,[],['15','17'])). 28.14/3.89 cnf('19', plain, (~c_member(tc_prod(X,X),c_Product__Type_OPair(X,X,Y,Y),Z) | ~c_Relation_Oirrefl(X,Z)), 28.14/3.89 inference(cnf_transformation,[],['fact_irrefl__def_$sk'])). 28.14/3.89 cnf('20', plain, (~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,$sk23)) | ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$sk23)) | ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,$sk22)) | c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), 28.14/3.89 inference(cnf_transformation,[],['conj_3_$sk'])). 28.14/3.89 cnf('21', plain, (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), 28.14/3.89 inference(resolution,[then_simplify],['20','2','12','13'])). 28.14/3.89 cnf('22', plain, ($df1(X,X,v_F(v_P),v_a,v_b)), 28.14/3.89 inference(resolution,[then_simplify],['18','19','21'])). 28.14/3.89 cnf('23', plain, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X,Y),hAPP(Z,v_i)) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X,Y),v_F(Z)) | ~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(Z,$sk75(Z))) | ~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(Z,$sk74(Z))) | ~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(Z,$sk75(Z))) | Y = X), 28.14/3.89 inference(cnf_transformation,[],['conj_0_$sk'])). 28.14/3.89 cnf('24', plain, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X,Y),hAPP(v_P,v_i)) | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X,Y),v_F(v_P)) | Y = X), 28.14/3.89 inference(resolution,[then_simplify],['23','2','12','13'])). 28.14/3.89 cnf('25', plain, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X,Y),v_F(v_P)) | $df1(Z,Z,hAPP(v_P,v_i),Y,X) | Y = X), 28.14/3.89 inference(resolution,[],['17','24'])). 28.14/3.89 cnf('26', plain, ($df1(X,X,hAPP(v_P,v_i),Y,Z) | ~$df1(U,V,v_F(v_P),Y,Z) | Y = Z), 28.14/3.89 inference(resolution,[],['25','7'])). 28.14/3.89 cnf('27', plain, (v_a = v_b | $df1(X,X,hAPP(v_P,v_i),v_a,v_b)), 28.14/3.89 inference(resolution,[],['22','26'])). 28.14/3.89 cnf('28', plain, (v_a = v_b), 28.14/3.89 inference(resolution,[],['8','27'])). 28.14/3.89 cnf('29', plain, (~$df1(X,Y,v_F(v_P),v_b,v_a)), 28.14/3.89 inference(resolution,[],['7','10'])). 28.14/3.89 cnf('30', plain, ($df1(X3,X3,v_F(v_P),v_b,v_b)), 28.14/3.89 inference(paramodulation,[],['28','22'])). 28.14/3.89 cnf('31', plain, ($false), 28.14/3.89 inference(paramodulation,[then_simplify],['28','29','30'])). 28.14/3.89 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 28.14/3.89 28.14/3.89 run 32 fork 7 statistics: 28.14/3.89 ---------------------------------- 28.14/3.89 this run seconds: 0.278585 28.14/3.89 stat_given_used: 1775 28.14/3.89 stat_given_used_at_endgame: 0 28.14/3.89 stat_given_candidates: 4277 28.14/3.89 stat_given_candidates_at_endgame: 0 28.14/3.89 stat_given_candidates_h: 0 28.14/3.89 stat_binres_derived_cl: 22349 28.14/3.89 stat_binres_derived_cl_h: 0 28.14/3.89 stat_factor_derived_cl: 597 28.14/3.89 stat_para_derived_cl: 6324 28.14/3.89 stat_tautologies_discarded: 232 28.14/3.89 stat_forward_subsumed: 1119 28.14/3.89 stat_derived_cut: 677 28.14/3.89 stat_derived_rewritten: 252 28.14/3.89 stat_weight_discarded_building: 0 28.14/3.89 stat_weight_discarded_cl: 22772 28.14/3.89 stat_internlimit_discarded_cl: 0 28.14/3.89 stat_simplified: 252 simplified 0 derived 0 given 28.14/3.89 stat_kept_cl: 4382 28.14/3.89 stat_built_cl: 30956 28.14/3.89 stat_hyperres_partial_cl: 0 28.14/3.89 stat_made_rewriters: 80 28.14/3.89 stat_backward_subsumed: 0 28.14/3.89 stat_propagated_subsumed: 0 28.14/3.89 stat_clsubs_attempted: 109930 28.14/3.89 stat_clsubs_fact_groundunit_found: 8 28.14/3.89 stat_clsubs_rule_groundunit_found: 6 28.14/3.89 stat_clsubs_top_meta_attempted: 3468542 28.14/3.89 stat_clsubs_top_meta_failed: 3358612 28.14/3.89 stat_clsubs_top_meta_nonpref_attempted: 3468542 28.14/3.89 stat_clsubs_top_meta_nonpref_succeeded: 875950 28.14/3.89 stat_clsubs_top_meta_pref_attempted: 875950 28.14/3.89 stat_clsubs_top_meta_pref1_succeeded: 175039 28.14/3.89 stat_clsubs_top_meta_pref2_succeeded: 111347 28.14/3.89 stat_clsubs_top_meta_pref3_succeeded: 109930 28.14/3.89 stat_clsubs_top_meta_pref_succeeded: 109930 28.14/3.89 stat_clsubs_meta_attempted: 190145 28.14/3.89 stat_clsubs_meta_failed: 100917 28.14/3.89 stat_clsubs_predsymbs_attempted: 0 28.14/3.89 stat_clsubs_unit_attempted: 36920 28.14/3.89 stat_clsubs_full_attempted: 73010 28.14/3.89 stat_forwardsubs_attempted: 28274 28.14/3.89 stat_lit_hash_added: 596 28.14/3.89 stat_lit_hash_computed: 65301 28.14/3.89 stat_lit_hash_match_found: 1612 28.14/3.89 stat_lit_hash_match_miss: 125988 28.14/3.89 stat_lit_hash_cut_ok: 362 28.14/3.89 stat_lit_strong_cut_ok: 342 28.14/3.89 stat_lit_hash_subsume_ok: 1119 28.14/3.89 clqueue els 10000000 used 1 28.14/3.89 clactive els 10000000 used 1776 28.14/3.89 clactivesubsume els 10000000 used 10483 28.14/3.89 queue_termbuf els 200000000 used 294883 28.14/3.89 hyper_termbuf els 100000000 used 1 28.14/3.89 active_termbuf els 100000000 used 80425 28.14/3.89 varstack els 5000 last used 1 28.14/3.89 given_termbuf els 10000000 last used 1 28.14/3.89 simplified_termbuf els 10000000 last used 1 28.14/3.89 derived_termbuf els 10000000 last used 32 28.14/3.89 wr_mallocs: 12444 28.14/3.89 wr_callocs: 19 28.14/3.89 wr_reallocs: 283 28.14/3.89 wr_frees: 4 28.14/3.89 wr_malloc_bytes: 4163056276 28.14/3.89 wr_calloc_bytes: 96065504 28.14/3.89 wr_realloc_bytes: 133912 28.14/3.89 wr_realloc_freebytes: 0 28.14/3.89 ---------------------------------- 28.14/3.90 EOF