TSTP Solution File: GRP012+5 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n010.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 00:51:51 EDT 2023
% Result : Theorem 0.18s 0.70s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12 % Command : gkc %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 02:29:04 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.38
% 0.12/0.38 input clause set summed statistics:
% 0.12/0.38 ----------------------------------
% 0.12/0.38 in_clause_count: 10
% 0.12/0.38 in_rule_clause_count: 9
% 0.12/0.38 in_fact_clause_count: 1
% 0.12/0.38 in_answer_clause_count: 0
% 0.12/0.38 in_ground_clause_count: 3
% 0.12/0.38 in_unit_clause_count: 8
% 0.12/0.38 in_horn_clause_count: 10
% 0.12/0.38 in_pos_clause_count: 7
% 0.12/0.38 in_neg_clause_count: 1
% 0.12/0.38 in_poseq_clause_count: 0
% 0.12/0.38 in_negeq_clause_count: 0
% 0.12/0.38 in_unitposeq_clause_count: 0
% 0.12/0.38 in_chain_clause_count: 0
% 0.12/0.38 in_min_length: 1
% 0.12/0.38 in_max_length: 4
% 0.12/0.38 in_min_depth: 1
% 0.12/0.38 in_max_depth: 2
% 0.12/0.38 in_min_size: 4
% 0.12/0.38 in_max_size: 16
% 0.12/0.38 in_min_vars: 0
% 0.12/0.38 in_max_vars: 6
% 0.12/0.38 in_extaxiom_count: 0
% 0.12/0.38 in_axiom_count: 0
% 0.12/0.38 in_assumption_count: 0
% 0.12/0.38 in_goal_count: 10
% 0.12/0.38 in_neg_goal_count: 1
% 0.12/0.38 in_pos_goal_count: 7
% 0.12/0.38 in_posunit_goal_count: 7
% 0.12/0.38
% 0.12/0.38 auto guide:
% 0.12/0.38 -----------
% 0.12/0.38 {
% 0.12/0.38 "print":1,
% 0.12/0.38 "print_level": 15,
% 0.12/0.38 "max_size": 0,
% 0.12/0.38 "max_depth": 0,
% 0.12/0.38 "max_length": 0,
% 0.12/0.38 "max_dseconds": 0,
% 0.12/0.38 "equality":0,
% 0.12/0.38 "runs":[
% 0.12/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.12/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.12/0.38 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.12/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.12/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38
% 0.12/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.12/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.12/0.38 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.12/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.12/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38
% 0.12/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.12/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.12/0.38 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.12/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.38 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.12/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38
% 0.12/0.38 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.12/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.12/0.38 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.12/0.38 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.38 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.38 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.38
% 0.12/0.38 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.12/0.38 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.12/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.12/0.38 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.12/0.38 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.38 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.12/0.38 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0}
% 0.12/0.38
% 0.12/0.38 ]}
% 0.12/0.38
% 0.12/0.39
% 0.12/0.39 **** run 3 fork 2 starts with strategy
% 0.12/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.12/0.39
% 0.12/0.39 **** run 5 fork 4 starts with strategy
% 0.12/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.12/0.39
% 0.12/0.39 **** run 7 fork 6 starts with strategy
% 0.12/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.18/0.39
% 0.18/0.39 **** run 8 fork 7 starts with strategy
% 0.18/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.18/0.40
% 0.18/0.40 **** run 6 fork 5 starts with strategy
% 0.18/0.40
% 0.18/0.40 **** run 1 fork 0 starts with strategy
% 0.18/0.40 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}{"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.40
% 0.18/0.41
% 0.18/0.41 **** run 4 fork 3 starts with strategy
% 0.18/0.41 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.41
% 0.18/0.41 **** run 2 fork 1 starts with strategy
% 0.18/0.41 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 fork 2: search terminated without proof.
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 fork 6: search terminated without proof.
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 fork 4: search terminated without proof.
% 0.18/0.54
% 0.18/0.54 **** run 15 fork 6 starts with strategy
% 0.18/0.54 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.18/0.54
% 0.18/0.54 **** run 13 fork 4 starts with strategy
% 0.18/0.54 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.18/0.55
% 0.18/0.55 **** run 11 fork 2 starts with strategy
% 0.18/0.55 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.18/0.58
% 0.18/0.58
% 0.18/0.58 fork 5: search terminated without proof.
% 0.18/0.59
% 0.18/0.59
% 0.18/0.59 fork 1: search terminated without proof.
% 0.18/0.60
% 0.18/0.60 **** run 14 fork 5 starts with strategy
% 0.18/0.60 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.18/0.61
% 0.18/0.61 **** run 10 fork 1 starts with strategy
% 0.18/0.61 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.18/0.64
% 0.18/0.64
% 0.18/0.64 fork 7: search terminated without proof.
% 0.18/0.64
% 0.18/0.64
% 0.18/0.64 fork 3: search terminated without proof.
% 0.18/0.64
% 0.18/0.64
% 0.18/0.64 fork 0: search terminated without proof.
% 0.18/0.65
% 0.18/0.65 **** run 12 fork 3 starts with strategy
% 0.18/0.65 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.18/0.66
% 0.18/0.66 **** run 16 fork 7 starts with strategy
% 0.18/0.66 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.18/0.67
% 0.18/0.67 **** run 9 fork 0 starts with strategy
% 0.18/0.67 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.18/0.70
% 0.18/0.70
% 0.18/0.70 result: proof found
% 0.18/0.70 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.70 by run 13 fork 4 strategy {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.18/0.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.70
% 0.18/0.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.70 fof('prove_distribution_$sk', plain, ((~product(inverse($sk5),inverse($sk4),$sk1) & (product($sk2,$sk3,$sk4) & product(inverse($sk3),inverse($sk2),$sk5))) & (product(inverse(X1),X1,$sk1) & (product(X2,inverse(X2),$sk1) & (product($sk1,X3,X3) & (product(X4,$sk1,X4) & ((product(X10,X9,X8) | (~product(X5,X6,X8) | (~product(X7,X9,X6) | ~product(X5,X7,X10)))) & ((product(X16,X15,X14) | (~product(X11,X12,X14) | (~product(X13,X12,X15) | ~product(X16,X13,X11)))) & product(X18,X17,$sk6(X17,X18))))))))),
% 0.18/0.70 inference(negpush_and_skolemize,[],['prove_distribution'])).
% 0.18/0.70 fof('prove_distribution', conjecture, (! [E] : ((((((((! [X,Y] : (? [Z] : product(X,Y,Z))) & (! [X,Y,Z,U,V,W] : (((product(X,Y,U) & product(Y,Z,V)) & product(U,Z,W)) => product(X,V,W)))) & (! [X,Y,Z,U,V,W] : (((product(X,Y,U) & product(Y,Z,V)) & product(X,V,W)) => product(U,Z,W)))) & (! [X] : product(X,E,X))) & (! [X] : product(E,X,X))) & (! [X] : product(X,inverse(X),E))) & (! [X] : product(inverse(X),X,E))) => (! [U,V,W,X] : ((product(inverse(U),inverse(V),W) & product(V,U,X)) => product(inverse(W),inverse(X),E))))),
% 0.18/0.70 input).
% 0.18/0.70 cnf('1', plain, (~product(X,Y,Z) | ~product(U,Y,V) | ~product(W,X,U) | product(W,Z,V)),
% 0.18/0.70 inference(cnf_transformation,[],['prove_distribution_$sk'])).
% 0.18/0.70 cnf('2', plain, (~product(inverse($sk5),inverse($sk4),$sk1)),
% 0.18/0.70 inference(cnf_transformation,[],['prove_distribution_$sk'])).
% 0.18/0.70 cnf('3', plain, (~product(inverse($sk5),X,Y) | ~product(X,Z,inverse($sk4)) | ~product(Y,Z,$sk1)),
% 0.18/0.70 inference(resolution,[],['1','2'])).
% 0.18/0.70 cnf('4', plain, (product(X,$sk1,X)),
% 0.18/0.70 inference(cnf_transformation,[],['prove_distribution_$sk'])).
% 0.18/0.70 cnf('5', plain, (~product(inverse($sk5),X,$sk1) | ~product($sk1,X,inverse($sk4))),
% 0.18/0.70 inference(resolution,[],['3','4'])).
% 0.18/0.70 cnf('6', plain, (product(inverse(X),X,$sk1)),
% 0.18/0.70 inference(cnf_transformation,[],['prove_distribution_$sk'])).
% 0.18/0.70 cnf('7', plain, (~product($sk1,$sk5,inverse($sk4))),
% 0.18/0.70 inference(resolution,[],['5','6'])).
% 0.18/0.70 cnf('8', plain, (~product(X,Y,Z) | ~product(U,X,V) | ~product(U,Z,W) | product(V,Y,W)),
% 0.18/0.70 inference(cnf_transformation,[],['prove_distribution_$sk'])).
% 0.18/0.70 cnf('9', plain, (~product(X,Y,inverse($sk4)) | ~product(X,Z,$sk1) | ~product(Z,$sk5,Y)),
% 0.18/0.70 inference(resolution,[],['7','8'])).
% 0.18/0.70 cnf('10', plain, (~product(inverse($sk4),X,$sk1) | ~product(X,$sk5,$sk1)),
% 0.18/0.70 inference(resolution,[],['9','4'])).
% 0.18/0.70 cnf('11', plain, (~product($sk4,$sk5,$sk1)),
% 0.18/0.70 inference(resolution,[],['10','6'])).
% 0.18/0.70 cnf('12', plain, (~product($sk4,X,Y) | ~product(Y,Z,$sk1) | ~product(X,Z,$sk5)),
% 0.18/0.70 inference(resolution,[],['11','1'])).
% 0.18/0.70 cnf('13', plain, (product(X,inverse(X),$sk1)),
% 0.18/0.70 inference(cnf_transformation,[],['prove_distribution_$sk'])).
% 0.18/0.70 cnf('14', plain, (~product(X,inverse(Y),$sk5) | ~product($sk4,X,Y)),
% 0.18/0.70 inference(resolution,[],['12','13'])).
% 0.18/0.72 cnf('15', plain, (product(inverse($sk3),inverse($sk2),$sk5)),
% 0.18/0.72 inference(cnf_transformation,[],['prove_distribution_$sk'])).
% 0.18/0.72 cnf('16', plain, (~product($sk4,inverse($sk3),$sk2)),
% 0.18/0.72 inference(resolution,[],['14','15'])).
% 0.18/0.72 cnf('17', plain, (~product(X,inverse($sk3),Y) | ~product(Z,Y,$sk2) | ~product(Z,X,$sk4)),
% 0.18/0.72 inference(resolution,[],['16','8'])).
% 0.18/0.72 cnf('18', plain, (~product(X,$sk3,$sk4) | ~product(X,$sk1,$sk2)),
% 0.18/0.72 inference(resolution,[],['17','13'])).
% 0.18/0.72 cnf('19', plain, (product($sk2,$sk3,$sk4)),
% 0.18/0.72 inference(cnf_transformation,[],['prove_distribution_$sk'])).
% 0.18/0.72 cnf('20', plain, (product(X0,$sk1,X0)),
% 0.18/0.72 inference(cnf_transformation,[],['prove_distribution_$sk'])).
% 0.18/0.72 cnf('21', plain, ($false),
% 0.18/0.72 inference(resolution,[then_simplify],['18','19','20'])).
% 0.18/0.72
% 0.18/0.72 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.72
% 0.18/0.72 run 13 fork 4 statistics:
% 0.18/0.72 ----------------------------------
% 0.18/0.72 this run seconds: 0.070836
% 0.18/0.72 total seconds: 0.223213
% 0.18/0.72 stat_given_used: 710
% 0.18/0.72 stat_given_used_at_endgame: 0
% 0.18/0.72 stat_given_candidates: 1435
% 0.18/0.72 stat_given_candidates_at_endgame: 0
% 0.18/0.72 stat_given_candidates_h: 0
% 0.18/0.72 stat_binres_derived_cl: 10996
% 0.18/0.72 stat_binres_derived_cl_h: 0
% 0.18/0.72 stat_factor_derived_cl: 509
% 0.18/0.72 stat_para_derived_cl: 0
% 0.18/0.72 stat_tautologies_discarded: 6
% 0.18/0.72 stat_forward_subsumed: 797
% 0.18/0.72 stat_derived_cut: 176
% 0.18/0.72 stat_derived_rewritten: 0
% 0.18/0.72 stat_weight_discarded_building: 0
% 0.18/0.72 stat_weight_discarded_cl: 1800
% 0.18/0.72 stat_internlimit_discarded_cl: 0
% 0.18/0.72 stat_simplified: 0 simplified 0 derived 0 given
% 0.18/0.72 stat_kept_cl: 8901
% 0.18/0.72 stat_built_cl: 12121
% 0.18/0.72 stat_hyperres_partial_cl: 0
% 0.18/0.72 stat_made_rewriters: 0
% 0.18/0.72 stat_backward_subsumed: 0
% 0.18/0.72 stat_propagated_subsumed: 0
% 0.18/0.72 stat_clsubs_attempted: 26524
% 0.18/0.72 stat_clsubs_fact_groundunit_found: 1
% 0.18/0.72 stat_clsubs_rule_groundunit_found: 12
% 0.18/0.72 stat_clsubs_top_meta_attempted: 331622
% 0.18/0.72 stat_clsubs_top_meta_failed: 305098
% 0.18/0.72 stat_clsubs_top_meta_nonpref_attempted: 331622
% 0.18/0.72 stat_clsubs_top_meta_nonpref_succeeded: 72291
% 0.18/0.72 stat_clsubs_top_meta_pref_attempted: 72291
% 0.18/0.72 stat_clsubs_top_meta_pref1_succeeded: 64577
% 0.18/0.72 stat_clsubs_top_meta_pref2_succeeded: 31477
% 0.18/0.72 stat_clsubs_top_meta_pref3_succeeded: 26524
% 0.18/0.72 stat_clsubs_top_meta_pref_succeeded: 26524
% 0.18/0.72 stat_clsubs_meta_attempted: 64686
% 0.18/0.72 stat_clsubs_meta_failed: 18768
% 0.18/0.72 stat_clsubs_predsymbs_attempted: 0
% 0.18/0.72 stat_clsubs_unit_attempted: 2512
% 0.18/0.72 stat_clsubs_full_attempted: 24012
% 0.18/0.72 stat_forwardsubs_attempted: 11499
% 0.18/0.72 stat_lit_hash_added: 2539
% 0.18/0.72 stat_lit_hash_computed: 91052
% 0.18/0.72 stat_lit_hash_match_found: 838
% 0.18/0.72 stat_lit_hash_match_miss: 131900
% 0.18/0.72 stat_lit_hash_cut_ok: 0
% 0.18/0.72 stat_lit_strong_cut_ok: 176
% 0.18/0.72 stat_lit_hash_subsume_ok: 797
% 0.18/0.72 clqueue els 10000000 used 1
% 0.18/0.72 clactive els 10000000 used 711
% 0.18/0.72 clactivesubsume els 10000000 used 3619
% 0.18/0.72 queue_termbuf els 200000000 used 577495
% 0.18/0.72 hyper_termbuf els 100000000 used 1
% 0.18/0.72 active_termbuf els 100000000 used 26773
% 0.18/0.72 varstack els 5000 last used 1
% 0.18/0.72 given_termbuf els 10000000 last used 1
% 0.18/0.72 simplified_termbuf els 10000000 last used 1
% 0.18/0.72 derived_termbuf els 10000000 last used 23
% 0.18/0.72 wr_mallocs: 5189
% 0.18/0.72 wr_callocs: 21
% 0.18/0.72 wr_reallocs: 951
% 0.18/0.72 wr_frees: 2
% 0.18/0.72 wr_malloc_bytes: 4162795012
% 0.18/0.72 wr_calloc_bytes: 112065536
% 0.18/0.72 wr_realloc_bytes: 266176
% 0.18/0.72 wr_realloc_freebytes: 0
% 0.18/0.72 ----------------------------------
%------------------------------------------------------------------------------