TSTP Solution File: GRP685+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP685+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:55:51 EDT 2023
% Result : Theorem 13.72s 2.33s
% Output : CNFRefutation 13.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP685+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : gkc %s
% 0.11/0.32 % Computer : n008.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 : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 01:04:02 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.35
% 0.11/0.35 input clause set summed statistics:
% 0.11/0.35 ----------------------------------
% 0.11/0.35 in_clause_count: 8
% 0.11/0.35 in_rule_clause_count: 8
% 0.11/0.35 in_fact_clause_count: 0
% 0.11/0.35 in_answer_clause_count: 0
% 0.11/0.35 in_ground_clause_count: 1
% 0.11/0.35 in_unit_clause_count: 7
% 0.11/0.35 in_horn_clause_count: 8
% 0.11/0.35 in_pos_clause_count: 7
% 0.11/0.35 in_neg_clause_count: 1
% 0.11/0.35 in_poseq_clause_count: 7
% 0.11/0.35 in_negeq_clause_count: 1
% 0.11/0.35 in_unitposeq_clause_count: 7
% 0.11/0.35 in_chain_clause_count: 0
% 0.11/0.35 in_min_length: 1
% 0.11/0.35 in_max_length: 2
% 0.11/0.35 in_min_depth: 3
% 0.11/0.35 in_max_depth: 4
% 0.11/0.35 in_min_size: 7
% 0.11/0.35 in_max_size: 30
% 0.11/0.35 in_min_vars: 0
% 0.11/0.35 in_max_vars: 4
% 0.11/0.35 in_extaxiom_count: 0
% 0.11/0.35 in_axiom_count: 7
% 0.11/0.35 in_assumption_count: 0
% 0.11/0.35 in_goal_count: 1
% 0.11/0.35 in_neg_goal_count: 1
% 0.11/0.35 in_pos_goal_count: 0
% 0.11/0.35 in_posunit_goal_count: 0
% 0.11/0.35
% 0.11/0.35 auto guide:
% 0.11/0.35 -----------
% 0.11/0.35 {
% 0.11/0.35 "print":1,
% 0.11/0.35 "print_level": 15,
% 0.11/0.35 "max_size": 0,
% 0.11/0.35 "max_depth": 0,
% 0.11/0.35 "max_length": 0,
% 0.11/0.35 "max_dseconds": 0,
% 0.11/0.35 "runs":[
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
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% 0.11/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.11/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
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% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
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% 0.11/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
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% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.11/0.35 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.11/0.35 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.11/0.35 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.11/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.35 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
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% 0.11/0.35 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.11/0.35 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.11/0.35 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.11/0.35 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.11/0.35 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.11/0.35 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.11/0.35 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.11/0.35 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.11/0.35 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.11/0.35 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.11/0.35 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.11/0.35 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.35 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.36 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
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% 0.11/0.36 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.11/0.36 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.11/0.36 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.11/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.11/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.11/0.36 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.11/0.36 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.11/0.36
% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.36 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
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% 0.11/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
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% 0.11/0.36 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.11/0.36 {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.11/0.36 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.11/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.11/0.36 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.11/0.36 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
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% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.11/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
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% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.11/0.36 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.11/0.36 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":10},
% 0.11/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.11/0.36 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":10},
% 0.11/0.36 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":10},
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% 0.11/0.36 {"max_dseconds":10, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.11/0.36 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":10},
% 0.11/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
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% 6.91/1.22 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"equality":0}
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% 7.38/1.30 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":1}
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% 7.95/1.50 **** run 75 fork 2 starts with strategy
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% 8.30/1.53 {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
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% 9.53/1.57
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% 9.99/1.65 fork 1: search terminated without proof.
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% 9.99/1.67 {"query_preference":1,"strategy":["unit","max_weight"],"max_dseconds":1}
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% 9.99/1.67 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 11.10/1.79
% 11.10/1.79
% 11.10/1.79 fork 1: search terminated without proof.
% 11.10/1.80
% 11.10/1.80 **** run 90 fork 1 starts with strategy
% 11.10/1.80 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 13.72/2.33
% 13.72/2.33
% 13.72/2.33 result: proof found
% 13.72/2.33 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.72/2.33 by run 91 fork 2 strategy {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 13.72/2.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.72/2.33
% 13.72/2.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.72/2.33 fof('f07_$sk', plain, (ld(X2,mult(X2,ld(X1,X1))) = rd(mult(rd(X2,X2),X1),X1)),
% 13.72/2.33 inference(negpush_and_skolemize,[],['f07'])).
% 13.72/2.33 fof('f07', axiom, (! [B,A] : (ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B))),
% 13.72/2.33 input).
% 13.72/2.33 fof('f03_$sk', plain, (mult(X2,ld(X2,X1)) = ld(X2,mult(X2,X1))),
% 13.72/2.33 inference(negpush_and_skolemize,[],['f03'])).
% 13.72/2.33 fof('f03', axiom, (! [B,A] : (mult(A,ld(A,B)) = ld(A,mult(A,B)))),
% 13.72/2.33 input).
% 13.72/2.33 fof('f01_$sk', plain, (ld(X1,mult(X1,X1)) = X1),
% 13.72/2.33 inference(negpush_and_skolemize,[],['f01'])).
% 13.72/2.33 fof('f01', axiom, (! [A] : (ld(A,mult(A,A)) = A)),
% 13.72/2.33 input).
% 13.72/2.33 fof('f04_$sk', plain, (mult(rd(X2,X1),X1) = rd(mult(X2,X1),X1)),
% 13.72/2.33 inference(negpush_and_skolemize,[],['f04'])).
% 13.72/2.33 fof('f04', axiom, (! [B,A] : (mult(rd(A,B),B) = rd(mult(A,B),B))),
% 13.72/2.33 input).
% 13.72/2.33 fof('f02_$sk', plain, (rd(mult(X1,X1),X1) = X1),
% 13.72/2.33 inference(negpush_and_skolemize,[],['f02'])).
% 13.72/2.33 fof('f02', axiom, (! [A] : (rd(mult(A,A),A) = A)),
% 13.72/2.33 input).
% 13.72/2.33 fof('f05_$sk', plain, (ld(ld(X4,X3),mult(ld(X4,X3),mult(X2,X1))) = mult(ld(X4,mult(X4,X2)),X1)),
% 13.72/2.33 inference(negpush_and_skolemize,[],['f05'])).
% 13.72/2.33 fof('f05', axiom, (! [D,C,B,A] : (ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D))),
% 13.72/2.33 input).
% 13.72/2.33 fof('f06_$sk', plain, (rd(mult(mult(X4,X3),rd(X1,X2)),rd(X1,X2)) = mult(X4,rd(mult(X3,X2),X2))),
% 13.72/2.33 inference(negpush_and_skolemize,[],['f06'])).
% 13.72/2.33 fof('f06', axiom, (! [D,C,B,A] : (rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)))),
% 13.72/2.33 input).
% 13.72/2.33 fof('goals_$sk', plain, (~(rd(mult($sk3,rd($sk1,$sk2)),rd($sk1,$sk2)) = rd(mult($sk3,$sk2),$sk2)) | ~(rd(mult($sk6,ld($sk4,$sk5)),ld($sk4,$sk5)) = rd(mult($sk6,$sk5),$sk5))),
% 13.72/2.33 inference(negpush_and_skolemize,[],['goals'])).
% 13.72/2.33 fof('goals', conjecture, (! [X6,X7,X8] : ((rd(mult(X6,ld(X7,X8)),ld(X7,X8)) = rd(mult(X6,X8),X8)) & (rd(mult(X6,rd(X7,X8)),rd(X7,X8)) = rd(mult(X6,X8),X8)))),
% 13.72/2.33 input).
% 13.72/2.33 cnf('1', plain, (ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1)),
% 13.72/2.33 inference(cnf_transformation,[],['f07_$sk'])).
% 13.72/2.33 cnf('2', plain, (mult(X,ld(X,Y)) = ld(X,mult(X,Y))),
% 13.72/2.33 inference(cnf_transformation,[],['f03_$sk'])).
% 13.72/2.33 cnf('3', plain, (mult(X,ld(X,ld(Y,Y))) = rd(mult(rd(X,X),Y),Y)),
% 13.72/2.33 inference(simplify,[],['1','2'])).
% 13.72/2.33 cnf('4', plain, (rd(mult(rd(X3,X3),Y3),Y3) = ld(X3,mult(X3,ld(Y3,Y3)))),
% 13.72/2.33 inference(paramodulation,[],['3','2'])).
% 13.72/2.33 cnf('5', plain, (ld(X,mult(X,X)) = X),
% 13.72/2.33 inference(cnf_transformation,[],['f01_$sk'])).
% 13.72/2.33 cnf('6', plain, (mult(X,ld(X,X)) = X),
% 13.72/2.33 inference(paramodulation,[],['2','5'])).
% 13.72/2.33 cnf('7', plain, (mult(X,ld(X,ld(X,X))) = ld(X,X)),
% 13.72/2.33 inference(paramodulation,[],['6','2'])).
% 13.72/2.33 cnf('8', plain, (rd(mult(rd(X3,X3),X3),X3) = ld(X3,X3)),
% 13.72/2.33 inference(paramodulation,[],['3','7'])).
% 13.72/2.33 cnf('9', plain, (mult(rd(X,Y),Y) = rd(mult(X,Y),Y)),
% 13.72/2.33 inference(cnf_transformation,[],['f04_$sk'])).
% 13.72/2.33 cnf('10', plain, (rd(mult(X,X),X) = X),
% 13.72/2.33 inference(cnf_transformation,[],['f02_$sk'])).
% 13.72/2.33 cnf('11', plain, (rd(X,X) = ld(X,X)),
% 13.72/2.33 inference(simplify,[then_simplify],['8','9','10'])).
% 13.72/2.33 cnf('12', plain, (rd(mult(rd(X,X),Y),Y) = mult(X,ld(X,rd(Y,Y)))),
% 13.72/2.33 inference(simplify,[then_simplify],['4','11','2'])).
% 13.72/2.33 cnf('13', plain, (ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3)),
% 13.72/2.33 inference(cnf_transformation,[],['f05_$sk'])).
% 13.72/2.33 cnf('14', plain, (mult(ld(X,Y),ld(ld(X,Y),mult(Z,U))) = mult(mult(X,ld(X,Z)),U)),
% 13.72/2.33 inference(simplify,[then_simplify],['13','2','2'])).
% 13.72/2.33 cnf('15', plain, (mult(X3,ld(ld(X3,mult(X3,X3)),mult(Y3,Z3))) = mult(mult(X3,ld(X3,Y3)),Z3)),
% 13.72/2.33 inference(paramodulation,[],['5','14'])).
% 13.72/2.33 cnf('16', plain, (mult(X,rd(X,X)) = X),
% 13.72/2.33 inference(paramodulation,[],['11','6'])).
% 13.72/2.33 cnf('17', plain, (mult(X,ld(X,mult(Y,Z))) = mult(mult(X,ld(X,Y)),Z)),
% 13.72/2.33 inference(simplify,[then_simplify],['15','2','11','16'])).
% 13.72/2.33 cnf('18', plain, (mult(X3,ld(X3,mult(X3,Y3))) = mult(X3,Y3)),
% 13.72/2.33 inference(paramodulation,[],['6','17'])).
% 13.72/2.33 cnf('19', plain, (mult(X,mult(X,ld(X,Y))) = mult(X,Y)),
% 13.72/2.33 inference(simplify,[],['18','2'])).
% 13.72/2.33 cnf('20', plain, (mult(X3,rd(mult(rd(X3,X3),Y3),Y3)) = mult(X3,rd(Y3,Y3))),
% 13.72/2.33 inference(paramodulation,[],['12','19'])).
% 13.72/2.33 cnf('21', plain, (rd(mult(mult(X,Y),rd(Z,U)),rd(Z,U)) = mult(X,rd(mult(Y,U),U))),
% 13.72/2.33 inference(cnf_transformation,[],['f06_$sk'])).
% 13.72/2.33 cnf('22', plain, (rd(mult(mult(X3,Y3),Z3),rd(mult(Z3,Z3),Z3)) = mult(X3,rd(mult(Y3,Z3),Z3))),
% 13.72/2.33 inference(paramodulation,[],['10','21'])).
% 13.72/2.33 cnf('23', plain, (rd(mult(mult(X,Y),Z),Z) = mult(X,rd(mult(Y,Z),Z))),
% 13.72/2.33 inference(simplify,[],['22','10'])).
% 13.72/2.33 cnf('24', plain, (rd(mult(X,Y),Y) = mult(X,rd(Y,Y))),
% 13.72/2.33 inference(simplify,[then_simplify],['20','23','16'])).
% 13.72/2.33 cnf('25', plain, (mult(X,ld(X,Y)) = mult(mult(X,ld(X,Y)),rd(Y,Y))),
% 13.72/2.33 inference(paramodulation,[],['16','17'])).
% 13.72/2.33 cnf('26', plain, (mult(X,ld(X,Y)) = rd(mult(mult(X,ld(X,Y)),Y),Y)),
% 13.72/2.33 inference(paramodulation,[],['24','25'])).
% 13.72/2.33 cnf('27', plain, (rd(mult(X3,rd(Y3,Z3)),rd(Y3,Z3)) = mult(X3,rd(mult(rd(X3,X3),Z3),Z3))),
% 13.72/2.33 inference(paramodulation,[],['16','21'])).
% 13.72/2.33 cnf('28', plain, (rd(mult(X,rd(Y,Z)),rd(Y,Z)) = rd(mult(X,Z),Z)),
% 13.72/2.33 inference(simplify,[then_simplify],['27','23','24','10'])).
% 13.72/2.33 cnf('29', plain, (rd(rd(mult(mult(X3,Y3),Z3),Z3),rd(mult(Y3,Z3),Z3)) = rd(mult(X3,Z3),Z3)),
% 13.72/2.33 inference(paramodulation,[],['23','28'])).
% 13.72/2.33 cnf('30', plain, (rd(mult(rd(X3,Y3),Y3),Y3) = rd(X3,Y3)),
% 13.72/2.33 inference(paramodulation,[],['28','10'])).
% 13.72/2.33 cnf('31', plain, (rd(rd(mult(X,Y),Y),Y) = rd(X,Y)),
% 13.72/2.33 inference(simplify,[],['30','9'])).
% 13.72/2.33 cnf('32', plain, (rd(rd(mult(X,Y),Y),rd(Z,Y)) = rd(X,rd(Z,Y))),
% 13.72/2.33 inference(paramodulation,[],['28','31'])).
% 13.72/2.33 cnf('33', plain, (rd(mult(X,Y),rd(mult(Y,Z),Z)) = rd(mult(X,Z),Z)),
% 13.72/2.33 inference(simplify,[],['29','32'])).
% 13.72/2.33 cnf('34', plain, (rd(mult(X3,mult(Y3,ld(Y3,Z3))),mult(Y3,ld(Y3,Z3))) = rd(mult(X3,Z3),Z3)),
% 13.72/2.33 inference(paramodulation,[],['26','33'])).
% 13.72/2.33 cnf('35', plain, (rd(mult(mult(X,Y),Y),Y) = mult(X,Y)),
% 13.72/2.33 inference(paramodulation,[],['10','23'])).
% 13.72/2.33 cnf('36', plain, (rd(mult(X3,mult(Y3,Z3)),rd(mult(mult(Y3,Z3),Z3),Z3)) = rd(mult(X3,Z3),Z3)),
% 13.72/2.33 inference(paramodulation,[],['35','28'])).
% 13.72/2.33 cnf('37', plain, (rd(mult(X,mult(Y,Z)),mult(Y,Z)) = rd(mult(X,Z),Z)),
% 13.72/2.33 inference(simplify,[],['36','35'])).
% 13.72/2.33 cnf('38', plain, (rd(mult(X,ld(Y,Z)),ld(Y,Z)) = rd(mult(X,Z),Z)),
% 13.72/2.33 inference(simplify,[],['34','37'])).
% 13.72/2.33 cnf('39', plain, (rd(mult(ld(X,Y),Y),Y) = ld(X,Y)),
% 13.72/2.33 inference(paramodulation,[],['38','10'])).
% 13.72/2.33 cnf('40', plain, (rd(mult($sk6,ld($sk4,$sk5)),ld($sk4,$sk5)) != rd(mult($sk6,$sk5),$sk5) | rd(mult($sk3,rd($sk1,$sk2)),rd($sk1,$sk2)) != rd(mult($sk3,$sk2),$sk2)),
% 13.72/2.33 inference(cnf_transformation,[],['goals_$sk'])).
% 13.72/2.33 cnf('41', plain, (rd(mult($sk6,ld($sk4,$sk5)),ld($sk4,$sk5)) != rd(mult($sk6,$sk5),$sk5)),
% 13.72/2.33 inference(resolution,[],['28','40'])).
% 13.72/2.33 cnf('42', plain, ($false),
% 13.72/2.33 inference(paramodulation,[then_simplify],['39','33','41'])).
% 13.72/2.33
% 13.72/2.33 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.72/2.33
% 13.72/2.33 run 91 fork 2 statistics:
% 13.72/2.33 ----------------------------------
% 13.72/2.33 this run seconds: 0.407043
% 13.72/2.33 total seconds: 1.691290
% 13.72/2.33 stat_given_used: 224
% 13.72/2.33 stat_given_used_at_endgame: 0
% 13.72/2.33 stat_given_candidates: 1557
% 13.72/2.33 stat_given_candidates_at_endgame: 0
% 13.72/2.33 stat_given_candidates_h: 0
% 13.72/2.33 stat_binres_derived_cl: 2
% 13.72/2.33 stat_binres_derived_cl_h: 0
% 13.72/2.33 stat_factor_derived_cl: 0
% 13.72/2.33 stat_para_derived_cl: 54163
% 13.72/2.33 stat_tautologies_discarded: 0
% 13.72/2.33 stat_forward_subsumed: 2218
% 13.72/2.33 stat_derived_cut: 1
% 13.72/2.33 stat_derived_rewritten: 141
% 13.72/2.33 stat_weight_discarded_building: 0
% 13.72/2.33 stat_weight_discarded_cl: 0
% 13.72/2.33 stat_internlimit_discarded_cl: 0
% 13.72/2.33 stat_simplified: 141 simplified 0 derived 0 given
% 13.72/2.33 stat_kept_cl: 50495
% 13.72/2.33 stat_built_cl: 51084
% 13.72/2.33 stat_hyperres_partial_cl: 0
% 13.72/2.33 stat_made_rewriters: 212
% 13.72/2.33 stat_backward_subsumed: 0
% 13.72/2.33 stat_propagated_subsumed: 0
% 13.72/2.33 stat_clsubs_attempted: 4370
% 13.72/2.33 stat_clsubs_fact_groundunit_found: 0
% 13.72/2.33 stat_clsubs_rule_groundunit_found: 0
% 13.72/2.33 stat_clsubs_top_meta_attempted: 28758
% 13.72/2.33 stat_clsubs_top_meta_failed: 24388
% 13.72/2.33 stat_clsubs_top_meta_nonpref_attempted: 28758
% 13.72/2.33 stat_clsubs_top_meta_nonpref_succeeded: 12567
% 13.72/2.33 stat_clsubs_top_meta_pref_attempted: 12567
% 13.72/2.33 stat_clsubs_top_meta_pref1_succeeded: 12567
% 13.72/2.33 stat_clsubs_top_meta_pref2_succeeded: 5382
% 13.72/2.33 stat_clsubs_top_meta_pref3_succeeded: 4370
% 13.72/2.33 stat_clsubs_top_meta_pref_succeeded: 4370
% 13.72/2.33 stat_clsubs_meta_attempted: 4371
% 13.72/2.33 stat_clsubs_meta_failed: 221
% 13.72/2.33 stat_clsubs_predsymbs_attempted: 0
% 13.72/2.33 stat_clsubs_unit_attempted: 4369
% 13.72/2.33 stat_clsubs_full_attempted: 1
% 13.72/2.33 stat_forwardsubs_attempted: 52714
% 13.72/2.33 stat_lit_hash_added: 50504
% 13.72/2.33 stat_lit_hash_computed: 103541
% 13.72/2.33 stat_lit_hash_match_found: 2272
% 13.72/2.33 stat_lit_hash_match_miss: 101406
% 13.72/2.33 stat_lit_hash_cut_ok: 0
% 13.72/2.33 stat_lit_strong_cut_ok: 1
% 13.72/2.33 stat_lit_hash_subsume_ok: 2218
% 13.72/2.33 clqueue els 10000000 used 1
% 13.72/2.33 clactive els 10000000 used 225
% 13.72/2.33 clactivesubsume els 10000000 used 1345
% 13.72/2.33 queue_termbuf els 200000000 used 7419941
% 13.72/2.33 hyper_termbuf els 100000000 used 1
% 13.72/2.33 active_termbuf els 100000000 used 14052
% 13.72/2.33 varstack els 5000 last used 1
% 13.72/2.33 given_termbuf els 10000000 last used 1
% 13.72/2.33 simplified_termbuf els 10000000 last used 1
% 13.72/2.33 derived_termbuf els 10000000 last used 65
% 13.72/2.33 wr_mallocs: 187946
% 13.72/2.33 wr_callocs: 21
% 13.72/2.33 wr_reallocs: 5735
% 13.72/2.33 wr_frees: 2
% 13.72/2.33 wr_malloc_bytes: 4169310164
% 13.72/2.33 wr_calloc_bytes: 112065536
% 13.72/2.33 wr_realloc_bytes: 1505064
% 13.72/2.33 wr_realloc_freebytes: 0
% 13.72/2.33 ----------------------------------
%------------------------------------------------------------------------------