%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : KRS132+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n024.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 05:47:00 EDT 2023
% Result : Theorem 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS132+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12 % Command : gkc %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 01:50:23 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.38
% 0.18/0.38 input clause set summed statistics:
% 0.18/0.38 ----------------------------------
% 0.18/0.38 in_clause_count: 113
% 0.18/0.38 in_rule_clause_count: 113
% 0.18/0.38 in_fact_clause_count: 0
% 0.18/0.38 in_answer_clause_count: 0
% 0.18/0.38 in_ground_clause_count: 86
% 0.18/0.38 in_unit_clause_count: 2
% 0.18/0.38 in_horn_clause_count: 74
% 0.18/0.38 in_pos_clause_count: 12
% 0.18/0.38 in_neg_clause_count: 34
% 0.18/0.38 in_poseq_clause_count: 0
% 0.18/0.38 in_negeq_clause_count: 0
% 0.18/0.38 in_unitposeq_clause_count: 0
% 0.18/0.38 in_chain_clause_count: 2
% 0.18/0.38 in_min_length: 1
% 0.18/0.38 in_max_length: 6
% 0.18/0.38 in_min_depth: 1
% 0.18/0.38 in_max_depth: 2
% 0.18/0.38 in_min_size: 2
% 0.18/0.38 in_max_size: 12
% 0.18/0.38 in_min_vars: 0
% 0.18/0.38 in_max_vars: 2
% 0.18/0.38 in_extaxiom_count: 0
% 0.18/0.38 in_axiom_count: 27
% 0.18/0.38 in_assumption_count: 0
% 0.18/0.38 in_goal_count: 86
% 0.18/0.38 in_neg_goal_count: 31
% 0.18/0.38 in_pos_goal_count: 7
% 0.18/0.38 in_posunit_goal_count: 0
% 0.18/0.38
% 0.18/0.38 auto guide:
% 0.18/0.38 -----------
% 0.18/0.38 {
% 0.18/0.38 "print":1,
% 0.18/0.38 "print_level": 15,
% 0.18/0.38 "max_size": 0,
% 0.18/0.38 "max_depth": 0,
% 0.18/0.38 "max_length": 0,
% 0.18/0.38 "max_dseconds": 0,
% 0.18/0.38 "equality":0,
% 0.18/0.38 "runs":[
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "sine":5, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":2},
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":2, "sine":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "sine":1, "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "sine":2, "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.18/0.38 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.18/0.38 {"sine":2, "var_weight":70, "repeat_var_weight":70, "max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.38
% 0.18/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "sine":5, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.18/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.18/0.38 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38
% 0.18/0.38 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.18/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.18/0.38 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38
% 0.18/0.38 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.18/0.38 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":250, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":250, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.18/0.38
% 0.18/0.38 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0}
% 0.18/0.38
% 0.18/0.38 ]}
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 **** run 1 fork 0 starts with strategy
% 0.18/0.38 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.18/0.38
% 0.18/0.38 **** run 2 fork 1 starts with strategy
% 0.18/0.38 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.18/0.38
% 0.18/0.38 **** run 3 fork 2 starts with strategy
% 0.18/0.38 {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.18/0.38
% 0.18/0.38 **** run 4 fork 3 starts with strategy
% 0.18/0.38 {"max_dseconds":1,"sine":5,"strategy":["unit"],"query_preference":0}
% 0.18/0.38
% 0.18/0.38 **** run 5 fork 4 starts with strategy
% 0.18/0.38 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.38
% 0.18/0.38 **** run 6 fork 5 starts with strategy
% 0.18/0.38 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.38
% 0.18/0.38 **** run 7 fork 6 starts with strategy
% 0.18/0.38 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.18/0.38
% 0.18/0.38 **** run 8 fork 7 starts with strategy
% 0.18/0.38 {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.42
% 0.18/0.42 fork 1: search finished without proof.
% 0.18/0.42
% 0.18/0.42 fork 3: search finished without proof.
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 result: proof found
% 0.18/0.42 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 by run 6 fork 5 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42
% 0.18/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 fof('axiom_4_$sk', plain, ((~cB(X1) | (cowlThing($sk11(X1)) & rr(X1,$sk11(X1)))) & (cB(X2) | (~cowlThing(X3) | ~rr(X2,X3)))),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_4'])).
% 0.18/0.42 fof('axiom_4', axiom, (! [X] : (cB(X) <=> (? [Y] : (rr(X,Y) & cowlThing(Y))))),
% 0.18/0.42 input).
% 0.18/0.42 fof('axiom_10_$sk', plain, ((~cnotB(X1) | (cNothing(X2) | ~rr(X1,X2))) & (cnotB(X3) | (~cNothing($sk7(X3)) & rr(X3,$sk7(X3))))),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_10'])).
% 0.18/0.42 fof('axiom_10', axiom, (! [X] : (cnotB(X) <=> (! [Y] : (rr(X,Y) => cNothing(Y))))),
% 0.18/0.42 input).
% 0.18/0.42 fof('axiom_0_$sk', plain, (~cowlNothing(X1) & cowlThing(X2)),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_0'])).
% 0.18/0.42 fof('axiom_0', axiom, (! [X] : (cowlThing(X) & ~cowlNothing(X))),
% 0.18/0.42 input).
% 0.18/0.42 fof('axiom_9_$sk', plain, ((~cnotAorB(X1) | (cnotA(X1) & cnotB(X1))) & (cnotAorB(X2) | (~cnotA(X2) | ~cnotB(X2)))),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_9'])).
% 0.18/0.42 fof('axiom_9', axiom, (! [X] : (cnotAorB(X) <=> (cnotB(X) & cnotA(X)))),
% 0.18/0.42 input).
% 0.18/0.42 fof('axiom_2_$sk', plain, ((~cA(X1) | (cowlThing($sk13(X1)) & rq(X1,$sk13(X1)))) & (cA(X2) | (~cowlThing(X3) | ~rq(X2,X3)))),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_2'])).
% 0.18/0.42 fof('axiom_2', axiom, (! [X] : (cA(X) <=> (? [Y] : (rq(X,Y) & cowlThing(Y))))),
% 0.18/0.42 input).
% 0.18/0.42 fof('axiom_7_$sk', plain, ((~cnotA(X1) | (cNothing(X2) | ~rq(X1,X2))) & (cnotA(X3) | (~cNothing($sk9(X3)) & rq(X3,$sk9(X3))))),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_7'])).
% 0.18/0.42 fof('axiom_7', axiom, (! [X] : (cnotA(X) <=> (! [Y] : (rq(X,Y) => cNothing(Y))))),
% 0.18/0.42 input).
% 0.18/0.42 fof('axiom_8_$sk', plain, ((~cnotAorB(X1) | (cNothing(X2) | ~rs(X1,X2))) & (cnotAorB(X3) | (~cNothing($sk8(X3)) & rs(X3,$sk8(X3))))),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_8'])).
% 0.18/0.42 fof('axiom_8', axiom, (! [X] : (cnotAorB(X) <=> (! [Y] : (rs(X,Y) => cNothing(Y))))),
% 0.18/0.42 input).
% 0.18/0.42 fof('axiom_3_$sk', plain, ((~cAorB(X1) | (cowlThing($sk12(X1)) & rs(X1,$sk12(X1)))) & (cAorB(X2) | (~cowlThing(X3) | ~rs(X2,X3)))),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_3'])).
% 0.18/0.42 fof('axiom_3', axiom, (! [X] : (cAorB(X) <=> (? [Y] : (rs(X,Y) & cowlThing(Y))))),
% 0.18/0.42 input).
% 0.18/0.42 fof('axiom_5_$sk', plain, (rp(X1,$sk10(X1)) | ~cNothing(X1)),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_5'])).
% 0.18/0.42 fof('axiom_5', axiom, (! [X] : (cNothing(X) => (? [Y0] : rp(X,Y0)))),
% 0.18/0.42 input).
% 0.18/0.42 fof('axiom_6_$sk', plain, (~rp(X1,X2) | ~cNothing(X1)),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_6'])).
% 0.18/0.42 fof('axiom_6', axiom, (! [X] : (cNothing(X) => ~(? [Y] : rp(X,Y)))),
% 0.18/0.42 input).
% 0.18/0.42 fof('the_axiom_$sk', plain, (((cAorB($sk1) & (~cA($sk1) & ~cB($sk1))) | (~cAorB($sk2) & (cA($sk2) | cB($sk2)))) | (((xsd_string($sk3) & xsd_integer($sk3)) | (~xsd_string($sk4) & ~xsd_integer($sk4))) | (cowlNothing($sk5) | ~cowlThing($sk6)))),
% 0.18/0.42 inference(negpush_and_skolemize,[],['the_axiom'])).
% 0.18/0.42 fof('the_axiom', conjecture, (((! [X] : (cowlThing(X) & ~cowlNothing(X))) & (! [X] : (xsd_string(X) <=> ~xsd_integer(X)))) & (! [X] : (cAorB(X) <=> (cB(X) | cA(X))))),
% 0.18/0.42 input).
% 0.18/0.42 fof('axiom_1_$sk', plain, ((~xsd_string(X1) | ~xsd_integer(X1)) & (xsd_string(X2) | xsd_integer(X2))),
% 0.18/0.42 inference(negpush_and_skolemize,[],['axiom_1'])).
% 0.18/0.42 fof('axiom_1', axiom, (! [X] : (xsd_string(X) <=> ~xsd_integer(X))),
% 0.18/0.42 input).
% 0.18/0.42 cnf('1', plain, (~rr(X,Y) | ~cowlThing(Y) | cB(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_4_$sk'])).
% 0.18/0.42 cnf('2', plain, (rr(X,$sk7(X)) | cnotB(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_10_$sk'])).
% 0.18/0.42 cnf('3', plain, (cowlThing(X0)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_0_$sk'])).
% 0.18/0.42 cnf('4', plain, (cnotB(X) | cB(X)),
% 0.18/0.42 inference(resolution,[then_simplify],['1','2','3'])).
% 0.18/0.42 cnf('5', plain, (~cnotB(X) | ~cnotA(X) | cnotAorB(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_9_$sk'])).
% 0.18/0.42 cnf('6', plain, (~cnotA(X) | cnotAorB(X) | cB(X)),
% 0.18/0.42 inference(resolution,[],['4','5'])).
% 0.18/0.42 cnf('7', plain, (~rq(X,Y) | ~cowlThing(Y) | cA(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_2_$sk'])).
% 0.18/0.42 cnf('8', plain, (rq(X,$sk9(X)) | cnotA(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_7_$sk'])).
% 0.18/0.42 cnf('9', plain, (cnotA(X) | cA(X)),
% 0.18/0.42 inference(resolution,[then_simplify],['7','8','3'])).
% 0.18/0.42 cnf('10', plain, (cnotAorB(X) | cB(X) | cA(X)),
% 0.18/0.42 inference(resolution,[],['6','9'])).
% 0.18/0.42 cnf('11', plain, (~rs(X,Y) | ~cnotAorB(X) | cNothing(Y)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_8_$sk'])).
% 0.18/0.42 cnf('12', plain, (rs(X,$sk12(X)) | ~cAorB(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_3_$sk'])).
% 0.18/0.42 cnf('13', plain, (rp(X,$sk10(X)) | ~cNothing(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_5_$sk'])).
% 0.18/0.42 cnf('14', plain, (~rp(X,Y) | ~cNothing(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_6_$sk'])).
% 0.18/0.42 cnf('15', plain, (~cNothing(X3)),
% 0.18/0.42 inference(resolution,[],['13','14'])).
% 0.18/0.42 cnf('16', plain, (~cnotAorB(X) | ~cAorB(X)),
% 0.18/0.42 inference(resolution,[then_simplify],['11','12','15'])).
% 0.18/0.42 cnf('17', plain, (~cAorB(X) | cB(X) | cA(X)),
% 0.18/0.42 inference(resolution,[],['10','16'])).
% 0.18/0.42 cnf('18', plain, (~$pr($df1) | cAorB($sk1) | cB($sk2) | cA($sk2)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('19', plain, (~$pr($df1) | cB($sk2) | cB($sk1) | cA($sk2) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['17','18'])).
% 0.18/0.42 cnf('20', plain, (~rr(X,Y) | ~cnotB(X) | cNothing(Y)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_10_$sk'])).
% 0.18/0.42 cnf('21', plain, (rr(X,$sk11(X)) | ~cB(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_4_$sk'])).
% 0.18/0.42 cnf('22', plain, (~cnotB(X) | ~cB(X)),
% 0.18/0.42 inference(resolution,[then_simplify],['20','21','15'])).
% 0.18/0.42 cnf('23', plain, (~rs(X,Y) | ~cowlThing(Y) | cAorB(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_3_$sk'])).
% 0.18/0.42 cnf('24', plain, (rs(X,$sk8(X)) | cnotAorB(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_8_$sk'])).
% 0.18/0.42 cnf('25', plain, (cnotAorB(X) | cAorB(X)),
% 0.18/0.42 inference(resolution,[then_simplify],['23','24','3'])).
% 0.18/0.42 cnf('26', plain, (~cnotAorB(X) | cnotB(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_9_$sk'])).
% 0.18/0.42 cnf('27', plain, (cnotB(X) | cAorB(X)),
% 0.18/0.42 inference(resolution,[],['25','26'])).
% 0.18/0.42 cnf('28', plain, (~cB(X) | cAorB(X)),
% 0.18/0.42 inference(resolution,[],['22','27'])).
% 0.18/0.42 cnf('29', plain, (~$pr($df1) | cAorB($sk2) | cB($sk1) | cA($sk2) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['19','28'])).
% 0.18/0.42 cnf('30', plain, (~$pr($df1) | ~cAorB($sk2) | cAorB($sk1)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('31', plain, (~$pr($df1) | cAorB($sk1) | cB($sk1) | cA($sk2) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['29','30'])).
% 0.18/0.42 cnf('32', plain, (~$pr($df1) | cB($sk1) | cA($sk2) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['31','17'])).
% 0.18/0.42 cnf('33', plain, (~$pr($df1) | ~cB($sk1) | cB($sk2) | cA($sk2)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('34', plain, (~$pr($df1) | cB($sk2) | cA($sk2) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['32','33'])).
% 0.18/0.42 cnf('35', plain, (~$pr($df1) | cAorB($sk2) | cA($sk2) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['34','28'])).
% 0.18/0.42 cnf('36', plain, (~$pr($df1) | ~cAorB($sk2) | ~cB($sk1)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('37', plain, (~$pr($df1) | ~cB($sk1) | cA($sk2) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['35','36'])).
% 0.18/0.42 cnf('38', plain, (~$pr($df1) | cA($sk2) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['37','32'])).
% 0.18/0.42 cnf('39', plain, (~rq(X,Y) | ~cnotA(X) | cNothing(Y)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_7_$sk'])).
% 0.18/0.42 cnf('40', plain, (rq(X,$sk13(X)) | ~cA(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_2_$sk'])).
% 0.18/0.42 cnf('41', plain, (~cnotA(X) | ~cA(X)),
% 0.18/0.42 inference(resolution,[then_simplify],['39','40','15'])).
% 0.18/0.42 cnf('42', plain, (~cnotAorB(X) | cnotA(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_9_$sk'])).
% 0.18/0.42 cnf('43', plain, (cnotA(X) | cAorB(X)),
% 0.18/0.42 inference(resolution,[],['25','42'])).
% 0.18/0.42 cnf('44', plain, (~cA(X) | cAorB(X)),
% 0.18/0.42 inference(resolution,[],['41','43'])).
% 0.18/0.42 cnf('45', plain, (~$pr($df1) | cAorB($sk2) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['38','44'])).
% 0.18/0.42 cnf('46', plain, (~$pr($df1) | cAorB($sk1) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['45','30'])).
% 0.18/0.42 cnf('47', plain, (~$pr($df1) | cB($sk1) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['46','17'])).
% 0.18/0.42 cnf('48', plain, (~$pr($df1) | ~cB($sk1) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['45','36'])).
% 0.18/0.42 cnf('49', plain, (~$pr($df1) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['47','48'])).
% 0.18/0.42 cnf('50', plain, (~$pr($df1) | ~cA($sk1) | cB($sk2) | cA($sk2)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('51', plain, (~$pr($df1) | cB($sk2) | cA($sk2)),
% 0.18/0.42 inference(resolution,[],['49','50'])).
% 0.18/0.42 cnf('52', plain, (~$pr($df1) | cAorB($sk2) | cA($sk2)),
% 0.18/0.42 inference(resolution,[],['51','28'])).
% 0.18/0.42 cnf('53', plain, (~$pr($df1) | ~cAorB($sk2) | ~cA($sk1)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('54', plain, (~$pr($df1) | cA($sk2) | ~cA($sk1)),
% 0.18/0.42 inference(resolution,[],['52','53'])).
% 0.18/0.42 cnf('55', plain, (~$pr($df1) | cA($sk1)),
% 0.18/0.42 inference(resolution,[],['47','48'])).
% 0.18/0.42 cnf('56', plain, (~$pr($df1) | cA($sk2)),
% 0.18/0.42 inference(simplify,[],['54','55'])).
% 0.18/0.42 cnf('57', plain, (~$pr($df1) | cAorB($sk2)),
% 0.18/0.42 inference(resolution,[],['56','44'])).
% 0.18/0.42 cnf('58', plain, (~$pr($df1) | ~cA($sk1)),
% 0.18/0.42 inference(resolution,[],['57','53'])).
% 0.18/0.42 cnf('59', plain, (~$pr($df1)),
% 0.18/0.42 inference(simplify,[],['58','55'])).
% 0.18/0.42 cnf('60', plain, ($pr($df1) | $pr($df10)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('61', plain, (cowlThing(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_0_$sk'])).
% 0.18/0.42 cnf('62', plain, (~cowlThing($sk6) | ~xsd_integer($sk4) | ~$pr($df10) | xsd_string($sk3) | cowlNothing($sk5)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('63', plain, (~cowlNothing(X0)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_0_$sk'])).
% 0.18/0.42 cnf('64', plain, (~xsd_integer($sk4) | ~$pr($df10) | xsd_string($sk3)),
% 0.18/0.42 inference(resolution,[then_simplify],['61','62','63'])).
% 0.18/0.42 cnf('65', plain, (xsd_integer(X) | xsd_string(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_1_$sk'])).
% 0.18/0.42 cnf('66', plain, (~$pr($df10) | xsd_string($sk4) | xsd_string($sk3)),
% 0.18/0.42 inference(resolution,[],['64','65'])).
% 0.18/0.42 cnf('67', plain, (~cowlThing($sk6) | ~xsd_integer($sk4) | cowlNothing($sk5) | $pr($df11) | xsd_integer($sk3)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('68', plain, (~xsd_integer($sk4) | $pr($df11) | xsd_integer($sk3)),
% 0.18/0.42 inference(resolution,[then_simplify],['61','67','63'])).
% 0.18/0.42 cnf('69', plain, (xsd_string($sk4) | $pr($df11) | xsd_integer($sk3)),
% 0.18/0.42 inference(resolution,[],['68','65'])).
% 0.18/0.42 cnf('70', plain, (~xsd_string($sk4) | ~cowlThing($sk6) | ~$pr($df10) | cowlNothing($sk5) | xsd_integer($sk3)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('71', plain, ($pr($df11) | xsd_integer($sk3) | ~$pr($df10)),
% 0.18/0.42 inference(resolution,[then_simplify],['69','70','3','63'])).
% 0.18/0.42 cnf('72', plain, (~cowlThing($sk6) | ~xsd_integer($sk4) | ~$pr($df10) | cowlNothing($sk5) | xsd_integer($sk3)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('73', plain, (~xsd_integer($sk4) | ~$pr($df10) | xsd_integer($sk3)),
% 0.18/0.42 inference(resolution,[then_simplify],['61','72','63'])).
% 0.18/0.42 cnf('74', plain, (~$pr($df11) | xsd_integer($sk4)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('75', plain, (~$pr($df10) | xsd_integer($sk3) | ~$pr($df11)),
% 0.18/0.42 inference(resolution,[],['73','74'])).
% 0.18/0.42 cnf('76', plain, (~$pr($df11) | ~xsd_integer($sk3)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('77', plain, (~$pr($df11) | ~$pr($df10)),
% 0.18/0.42 inference(simplify,[],['75','76'])).
% 0.18/0.42 cnf('78', plain, (~$pr($df10) | xsd_integer($sk3)),
% 0.18/0.42 inference(simplify,[],['71','77'])).
% 0.18/0.42 cnf('79', plain, (~xsd_integer(X) | ~xsd_string(X)),
% 0.18/0.42 inference(cnf_transformation,[],['axiom_1_$sk'])).
% 0.18/0.42 cnf('80', plain, (~xsd_string($sk3) | ~$pr($df10)),
% 0.18/0.42 inference(resolution,[],['78','79'])).
% 0.18/0.42 cnf('81', plain, (~$pr($df10) | xsd_string($sk4)),
% 0.18/0.42 inference(simplify,[],['66','80'])).
% 0.18/0.42 cnf('82', plain, (~xsd_string($sk4) | ~cowlThing($sk6) | ~$pr($df10) | xsd_string($sk3) | cowlNothing($sk5)),
% 0.18/0.42 inference(cnf_transformation,[],['the_axiom_$sk'])).
% 0.18/0.42 cnf('83', plain, (~$pr($df10) | xsd_string($sk3)),
% 0.18/0.42 inference(resolution,[then_simplify],['81','82','3','63'])).
% 0.18/0.42 cnf('84', plain, (~$pr($df10)),
% 0.18/0.42 inference(simplify,[],['83','80'])).
% 0.18/0.42 cnf('85', plain, ($false),
% 0.18/0.42 inference(resolution,[then_simplify],['59','60','84'])).
% 0.18/0.42
% 0.18/0.42 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42
% 0.18/0.42 run 6 fork 5 statistics:
% 0.18/0.42 ----------------------------------
% 0.18/0.42 this run seconds: 0.013552
% 0.18/0.42 total seconds: 0.044239
% 0.18/0.42 stat_given_used: 263
% 0.18/0.42 stat_given_used_at_endgame: 0
% 0.18/0.42 stat_given_candidates: 499
% 0.18/0.42 stat_given_candidates_at_endgame: 0
% 0.18/0.42 stat_given_candidates_h: 0
% 0.18/0.42 stat_binres_derived_cl: 539
% 0.18/0.42 stat_binres_derived_cl_h: 0
% 0.18/0.42 stat_factor_derived_cl: 0
% 0.18/0.42 stat_para_derived_cl: 0
% 0.18/0.42 stat_tautologies_discarded: 80
% 0.18/0.42 stat_forward_subsumed: 36
% 0.18/0.42 stat_derived_cut: 265
% 0.18/0.42 stat_derived_rewritten: 0
% 0.18/0.42
% 0.18/0.42 fork 7: search finished without proof.
% 0.18/0.42 stat_weight_discarded_building: 0
% 0.18/0.42 stat_weight_discarded_cl: 0
% 0.18/0.42 stat_internlimit_discarded_cl: 0
% 0.18/0.42 stat_simplified: 198 simplified 0 derived 0 given
% 0.18/0.42 stat_kept_cl: 422
% 0.18/0.42 stat_built_cl: 1146
% 0.18/0.42 stat_hyperres_partial_cl: 0
% 0.18/0.42 stat_made_rewriters: 0
% 0.18/0.42 stat_backward_subsumed: 0
% 0.18/0.42 stat_propagated_subsumed: 0
% 0.18/0.42 stat_clsubs_attempted: 442
% 0.18/0.42 stat_clsubs_fact_groundunit_found: 0
% 0.18/0.42 stat_clsubs_rule_groundunit_found: 0
% 0.18/0.42 stat_clsubs_top_meta_attempted: 55135
% 0.18/0.42 stat_clsubs_top_meta_failed: 54693
% 0.18/0.42 stat_clsubs_top_meta_nonpref_attempted: 55135
% 0.18/0.42 stat_clsubs_top_meta_nonpref_succeeded: 23310
% 0.18/0.42 stat_clsubs_top_meta_pref_attempted: 23310
% 0.18/0.42 stat_clsubs_top_meta_pref1_succeeded: 7719
% 0.18/0.42 stat_clsubs_top_meta_pref2_succeeded: 442
% 0.18/0.42 stat_clsubs_top_meta_pref3_succeeded: 442
% 0.18/0.42 stat_clsubs_top_meta_pref_succeeded: 442
% 0.18/0.42 stat_clsubs_meta_attempted: 1099
% 0.18/0.42 stat_clsubs_meta_failed: 287
% 0.18/0.42 stat_clsubs_predsymbs_attempted: 0
% 0.18/0.42 stat_clsubs_unit_attempted: 96
% 0.18/0.42 stat_clsubs_full_attempted: 346
% 0.18/0.42 stat_forwardsubs_attempted: 459
% 0.18/0.42 stat_lit_hash_added: 470
% 0.18/0.42 stat_lit_hash_computed: 6837
% 0.18/0.42 stat_lit_hash_match_found: 139
% 0.18/0.42 stat_lit_hash_match_miss: 7486
% 0.18/0.42 stat_lit_hash_cut_ok: 236
% 0.18/0.42 stat_lit_strong_cut_ok: 57
% 0.18/0.42 stat_lit_hash_subsume_ok: 36
% 0.18/0.42 clqueue els 10000000 used 1
% 0.18/0.42 clactive els 10000000 used 264
% 0.18/0.42 clactivesubsume els 10000000 used 1531
% 0.18/0.42 queue_termbuf els 200000000 used 25468
% 0.18/0.42 hyper_termbuf els 100000000 used 1
% 0.18/0.42 active_termbuf els 100000000 used 6521
% 0.18/0.42 varstack els 5000 last used 1
% 0.18/0.42 given_termbuf els 10000000 last used 1
% 0.18/0.42 simplified_termbuf els 10000000 last used 1
% 0.18/0.42 derived_termbuf els 10000000 last used 21
% 0.18/0.42 wr_mallocs: 768
% 0.18/0.42 wr_callocs: 21
% 0.18/0.42 wr_reallocs: 135
% 0.18/0.42 wr_frees: 4
% 0.18/0.42 wr_malloc_bytes: 4162619908
% 0.18/0.42 wr_calloc_bytes: 112065536
% 0.18/0.42 wr_realloc_bytes: 49960
% 0.18/0.42 wr_realloc_freebytes: 0
% 0.18/0.43 ----------------------------------
% 0.18/0.43
% 0.18/0.43 fork 2: search finished without proof.
%------------------------------------------------------------------------------