TSTP Solution File: GRP001+6 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n013.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 00:51:45 EDT 2023
% Result : Theorem 0.16s 0.59s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.11 % Command : gkc %s
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Aug 28 21:39:46 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.35
% 0.10/0.35 input clause set summed statistics:
% 0.10/0.35 ----------------------------------
% 0.10/0.35 in_clause_count: 10
% 0.10/0.35 in_rule_clause_count: 9
% 0.10/0.35 in_fact_clause_count: 1
% 0.10/0.35 in_answer_clause_count: 0
% 0.10/0.35 in_ground_clause_count: 2
% 0.10/0.35 in_unit_clause_count: 8
% 0.10/0.35 in_horn_clause_count: 10
% 0.10/0.35 in_pos_clause_count: 7
% 0.10/0.35 in_neg_clause_count: 1
% 0.10/0.35 in_poseq_clause_count: 0
% 0.10/0.35 in_negeq_clause_count: 0
% 0.10/0.35 in_unitposeq_clause_count: 0
% 0.10/0.35 in_chain_clause_count: 0
% 0.10/0.35 in_min_length: 1
% 0.10/0.35 in_max_length: 4
% 0.10/0.35 in_min_depth: 1
% 0.10/0.35 in_max_depth: 2
% 0.10/0.35 in_min_size: 4
% 0.10/0.35 in_max_size: 16
% 0.10/0.35 in_min_vars: 0
% 0.10/0.35 in_max_vars: 6
% 0.10/0.35 in_extaxiom_count: 0
% 0.10/0.35 in_axiom_count: 0
% 0.10/0.35 in_assumption_count: 0
% 0.10/0.35 in_goal_count: 10
% 0.10/0.35 in_neg_goal_count: 1
% 0.10/0.35 in_pos_goal_count: 7
% 0.10/0.35 in_posunit_goal_count: 7
% 0.10/0.35
% 0.10/0.35 auto guide:
% 0.10/0.35 -----------
% 0.10/0.35 {
% 0.10/0.35 "print":1,
% 0.10/0.35 "print_level": 15,
% 0.10/0.35 "max_size": 0,
% 0.10/0.35 "max_depth": 0,
% 0.10/0.35 "max_length": 0,
% 0.10/0.35 "max_dseconds": 0,
% 0.10/0.35 "equality":0,
% 0.10/0.35 "runs":[
% 0.10/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.10/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.35 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.10/0.35 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.35 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.10/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.10/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35
% 0.10/0.35 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.10/0.35 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.10/0.35 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.10/0.35 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.35 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.10/0.35 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.35 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.10/0.35 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.35 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.10/0.35 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35
% 0.10/0.35 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.10/0.35 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.10/0.35 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.10/0.35 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.35 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.10/0.35 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.35 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.10/0.35 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.10/0.35 {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.10/0.35 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.35
% 0.10/0.35 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.10/0.35 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.10/0.35 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.35 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.10/0.35 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.35 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.10/0.35 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.35
% 0.10/0.35 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.10/0.35 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.35 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.10/0.35 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.10/0.35 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.35 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.10/0.35 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.35 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.10/0.35 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0}
% 0.10/0.35
% 0.10/0.35 ]}
% 0.10/0.35
% 0.10/0.36
% 0.10/0.36 **** run 1 fork 0 starts with strategy
% 0.10/0.36 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.10/0.36
% 0.10/0.36 **** run 2 fork 1 starts with strategy
% 0.10/0.36 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.10/0.36
% 0.10/0.36 **** run 3 fork 2 starts with strategy
% 0.10/0.36 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.10/0.36
% 0.10/0.36 **** run 4 fork 3 starts with strategy
% 0.10/0.36 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.10/0.36
% 0.10/0.36 **** run 5 fork 4 starts with strategy
% 0.10/0.36 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.10/0.36
% 0.10/0.36 **** run 6 fork 5 starts with strategy
% 0.10/0.36 {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.10/0.36
% 0.10/0.36 **** run 7 fork 6 starts with strategy
% 0.10/0.36 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.10/0.36
% 0.10/0.36 **** run 8 fork 7 starts with strategy
% 0.10/0.36 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.16/0.48
% 0.16/0.48
% 0.16/0.48 fork 0: search terminated without proof.
% 0.16/0.48
% 0.16/0.48
% 0.16/0.48 fork 2: search terminated without proof.
% 0.16/0.48
% 0.16/0.48
% 0.16/0.48 fork 3: search terminated without proof.
% 0.16/0.48
% 0.16/0.48
% 0.16/0.48 fork 4: search terminated without proof.
% 0.16/0.48
% 0.16/0.48
% 0.16/0.48 fork 6: search terminated without proof.
% 0.16/0.48
% 0.16/0.48
% 0.16/0.48 fork 5: search terminated without proof.
% 0.16/0.48
% 0.16/0.48
% 0.16/0.48 fork 7: search terminated without proof.
% 0.16/0.48
% 0.16/0.48
% 0.16/0.48 fork 1: search terminated without proof.
% 0.16/0.51
% 0.16/0.51 **** run 9 fork 0 starts with strategy
% 0.16/0.51 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.16/0.51 **** run 11 fork 2 starts with strategy
% 0.16/0.51 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.16/0.51
% 0.16/0.52
% 0.16/0.52 **** run 15 fork 6 starts with strategy
% 0.16/0.52 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.16/0.52
% 0.16/0.52 **** run 14 fork 5 starts with strategy
% 0.16/0.52
% 0.16/0.52 **** run 13 fork 4 starts with strategy
% 0.16/0.52 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.16/0.52
% 0.16/0.52 **** run 16 fork 7 starts with strategy
% 0.16/0.52 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.16/0.52 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.16/0.52
% 0.16/0.52 **** run 12 fork 3 starts with strategy
% 0.16/0.52 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.16/0.52
% 0.16/0.52 **** run 10 fork 1 starts with strategy
% 0.16/0.52 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.16/0.59
% 0.16/0.59
% 0.16/0.59 result: proof found
% 0.16/0.59 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.59 by run 9 fork 0 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.16/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.59
% 0.16/0.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.59 fof('commutativity_$sk', plain, (((~product($sk4,$sk3,$sk2) & product($sk3,$sk4,$sk2)) & product(X1,X1,$sk1)) & (product(inverse(X2),X2,$sk1) & (product(X3,inverse(X3),$sk1) & (product($sk1,X4,X4) & (product(X5,$sk1,X5) & ((product(X11,X10,X9) | (~product(X6,X7,X9) | (~product(X8,X10,X7) | ~product(X6,X8,X11)))) & ((product(X17,X16,X15) | (~product(X12,X13,X15) | (~product(X14,X13,X16) | ~product(X17,X14,X12)))) & product(X19,X18,$sk5(X18,X19))))))))),
% 0.16/0.59 inference(negpush_and_skolemize,[],['commutativity'])).
% 0.16/0.59 fof('commutativity', conjecture, (! [E] : ((((((((! [X,Y] : (? [Z] : product(X,Y,Z))) & (! [X,Y,Z,U,V,W] : (((product(X,Y,U) & product(Y,Z,V)) & product(U,Z,W)) => product(X,V,W)))) & (! [X,Y,Z,U,V,W] : (((product(X,Y,U) & product(Y,Z,V)) & product(X,V,W)) => product(U,Z,W)))) & (! [X] : product(X,E,X))) & (! [X] : product(E,X,X))) & (! [X] : product(X,inverse(X),E))) & (! [X] : product(inverse(X),X,E))) => ((! [X] : product(X,X,E)) => (! [U,V,W] : (product(U,V,W) => product(V,U,W)))))),
% 0.16/0.59 input).
% 0.16/0.59 cnf('1', plain, (~product(X,Y,Z) | ~product(U,Y,V) | ~product(W,X,U) | product(W,Z,V)),
% 0.16/0.59 inference(cnf_transformation,[],['commutativity_$sk'])).
% 0.16/0.59 cnf('2', plain, (product($sk1,X,X)),
% 0.16/0.59 inference(cnf_transformation,[],['commutativity_$sk'])).
% 0.16/0.59 cnf('3', plain, (~product(X,Y,$sk1) | ~product(Y,Z,U) | product(X,U,Z)),
% 0.16/0.59 inference(resolution,[],['1','2'])).
% 0.16/0.59 cnf('4', plain, (product(X,X,$sk1)),
% 0.16/0.59 inference(cnf_transformation,[],['commutativity_$sk'])).
% 0.16/0.59 cnf('5', plain, (~product(X,Y,Z) | product(X,Z,Y)),
% 0.16/0.59 inference(resolution,[],['3','4'])).
% 0.16/0.59 cnf('6', plain, (~product(X,Y,Z) | ~product(U,X,V) | ~product(U,Z,W) | product(V,Y,W)),
% 0.16/0.59 inference(cnf_transformation,[],['commutativity_$sk'])).
% 0.16/0.59 cnf('7', plain, (~product(X,$sk1,Y) | ~product(X,Z,U) | product(U,Z,Y)),
% 0.16/0.59 inference(resolution,[],['6','4'])).
% 0.16/0.59 cnf('8', plain, (product(X,$sk1,X)),
% 0.16/0.59 inference(cnf_transformation,[],['commutativity_$sk'])).
% 0.16/0.59 cnf('9', plain, (~product(X,Y,Z) | product(Z,Y,X)),
% 0.16/0.59 inference(resolution,[],['7','8'])).
% 0.16/0.59 cnf('10', plain, (product($sk3,$sk4,$sk2)),
% 0.16/0.59 inference(cnf_transformation,[],['commutativity_$sk'])).
% 0.16/0.59 cnf('11', plain, (product($sk2,$sk4,$sk3)),
% 0.16/0.59 inference(resolution,[],['9','10'])).
% 0.16/0.59 cnf('12', plain, (~product($sk4,$sk3,$sk2)),
% 0.16/0.59 inference(cnf_transformation,[],['commutativity_$sk'])).
% 0.16/0.59 cnf('13', plain, (~product($sk2,$sk3,$sk4)),
% 0.16/0.59 inference(resolution,[],['9','12'])).
% 0.16/0.59 cnf('14', plain, ($false),
% 0.16/0.59 inference(resolution,[then_simplify],['5','11','13'])).
% 0.16/0.59
% 0.16/0.59 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.59
% 0.16/0.59 run 9 fork 0 statistics:
% 0.16/0.59 ----------------------------------
% 0.16/0.59 this run seconds: 0.065786
% 0.16/0.59 total seconds: 0.239111
% 0.16/0.59 stat_given_used: 177
% 0.16/0.59 stat_given_used_at_endgame: 0
% 0.16/0.59 stat_given_candidates: 307
% 0.16/0.59 stat_given_candidates_at_endgame: 0
% 0.16/0.59 stat_given_candidates_h: 0
% 0.16/0.59 stat_binres_derived_cl: 5606
% 0.16/0.59 stat_binres_derived_cl_h: 0
% 0.16/0.59 stat_factor_derived_cl: 38
% 0.16/0.59 stat_para_derived_cl: 0
% 0.16/0.59 stat_tautologies_discarded: 147
% 0.16/0.59 stat_forward_subsumed: 1123
% 0.16/0.59 stat_derived_cut: 8
% 0.16/0.59 stat_derived_rewritten: 0
% 0.16/0.59 stat_weight_discarded_building: 0
% 0.16/0.59 stat_weight_discarded_cl: 647
% 0.16/0.59 stat_internlimit_discarded_cl: 0
% 0.16/0.59 stat_simplified: 0 simplified 0 derived 0 given
% 0.16/0.59 stat_kept_cl: 3726
% 0.16/0.59 stat_built_cl: 4727
% 0.16/0.59 stat_hyperres_partial_cl: 0
% 0.16/0.59 stat_made_rewriters: 0
% 0.16/0.59 stat_backward_subsumed: 0
% 0.16/0.59 stat_propagated_subsumed: 0
% 0.16/0.59 stat_clsubs_attempted: 2967
% 0.16/0.59 stat_clsubs_fact_groundunit_found: 1
% 0.16/0.59 stat_clsubs_rule_groundunit_found: 1
% 0.16/0.59 stat_clsubs_top_meta_attempted: 18239
% 0.16/0.59 stat_clsubs_top_meta_failed: 15272
% 0.16/0.59 stat_clsubs_top_meta_nonpref_attempted: 18239
% 0.16/0.59 stat_clsubs_top_meta_nonpref_succeeded: 5580
% 0.16/0.59 stat_clsubs_top_meta_pref_attempted: 5580
% 0.16/0.59 stat_clsubs_top_meta_pref1_succeeded: 3746
% 0.16/0.59 stat_clsubs_top_meta_pref2_succeeded: 3009
% 0.16/0.59 stat_clsubs_top_meta_pref3_succeeded: 2967
% 0.16/0.59 stat_clsubs_top_meta_pref_succeeded: 2967
% 0.16/0.59 stat_clsubs_meta_attempted: 4474
% 0.16/0.59 stat_clsubs_meta_failed: 481
% 0.16/0.59 stat_clsubs_predsymbs_attempted: 0
% 0.16/0.59 stat_clsubs_unit_attempted: 1950
% 0.16/0.59 stat_clsubs_full_attempted: 1017
% 0.16/0.59 stat_forwardsubs_attempted: 5497
% 0.16/0.59 stat_lit_hash_added: 6622
% 0.16/0.59 stat_lit_hash_computed: 26493
% 0.16/0.59 stat_lit_hash_match_found: 1164
% 0.16/0.59 stat_lit_hash_match_miss: 23608
% 0.16/0.59 stat_lit_hash_cut_ok: 38
% 0.16/0.59 stat_lit_strong_cut_ok: 0
% 0.16/0.59 stat_lit_hash_subsume_ok: 1123
% 0.16/0.59 clqueue els 10000000 used 1
% 0.16/0.59 clactive els 10000000 used 178
% 0.16/0.59 clactivesubsume els 10000000 used 901
% 0.16/0.59 queue_termbuf els 200000000 used 158254
% 0.16/0.59 hyper_termbuf els 100000000 used 1
% 0.16/0.59 active_termbuf els 100000000 used 4230
% 0.16/0.59 varstack els 5000 last used 1
% 0.16/0.59 given_termbuf els 10000000 last used 1
% 0.16/0.59 simplified_termbuf els 10000000 last used 1
% 0.16/0.59 derived_termbuf els 10000000 last used 23
% 0.16/0.59 wr_mallocs: 2579
% 0.16/0.59 wr_callocs: 21
% 0.16/0.59 wr_reallocs: 1389
% 0.16/0.59 wr_frees: 2
% 0.16/0.59 wr_malloc_bytes: 4162685220
% 0.16/0.59 wr_calloc_bytes: 112065536
% 0.16/0.59 wr_realloc_bytes: 321024
% 0.16/0.59 wr_realloc_freebytes: 0
% 0.16/0.59 ----------------------------------
%------------------------------------------------------------------------------