%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:07:41 PM UTC 2026
% Result : Unsatisfiable 3.39s 1.02s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_partial_order_definition1'ERROR: Could not build tree for root '45'ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
( implies(X,Y) = truth
| ~ ordered(X,Y) ),
inference(cnf_transformation,[],['$inc_partial_order_definition1']) ).
cnf('2',plain,
implies(truth,X) = X,
inference(cnf_transformation,[],['$inc_wajsberg_1']) ).
cnf('3',plain,
big_V(X,Y) = implies(implies(X,Y),Y),
inference(cnf_transformation,[],['$inc_big_V_definition']) ).
cnf('4',plain,
big_V(truth,X) = implies(X,X),
inference(paramodulation,[],['2','3']) ).
cnf('5',plain,
big_V(X,X) = implies(big_V(truth,X),X),
inference(paramodulation,[],['4','3']) ).
cnf('6',plain,
( ~ ordered(big_V(truth,X3),X3)
| big_V(X3,X3) = truth ),
inference(paramodulation,[],['1','5']) ).
cnf('7',plain,
implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
inference(cnf_transformation,[],['$inc_wajsberg_2']) ).
cnf('8',plain,
implies(X3,implies(implies(X3,Y3),implies(truth,Y3))) = truth,
inference(paramodulation,[],['2','7']) ).
cnf('9',plain,
implies(X,big_V(X,Y)) = truth,
inference(simplify,[then_simplify],['8','2','3']) ).
cnf('10',plain,
truth = big_V(truth,X),
inference(paramodulation,[],['9','2']) ).
cnf('11',plain,
implies(big_V(X,Y),Z) = big_hat(implies(X,Z),implies(Y,Z)),
inference(cnf_transformation,[],[lemma_6]) ).
cnf('12',plain,
big_V(X3,X3) = big_hat(implies(truth,X3),implies(X3,X3)),
inference(paramodulation,[],['5','11']) ).
cnf('13',plain,
big_V(X,X) = big_hat(X,big_V(truth,X)),
inference(simplify,[then_simplify],['12','2','4']) ).
cnf('14',plain,
big_V(X,X) = big_hat(X,truth),
inference(paramodulation,[],['10','13']) ).
cnf('15',plain,
big_V(X3,X3) = implies(big_V(truth,X3),X3),
inference(paramodulation,[],['4','3']) ).
cnf('16',plain,
big_hat(X,truth) = X,
inference(simplify,[then_simplify],['15','14','10','2']) ).
cnf('17',plain,
( ~ ordered(truth,X)
| X = truth ),
inference(simplify,[then_simplify],['6','10','14','16']) ).
cnf('18',plain,
( implies(X,Y) != truth
| ordered(X,Y) ),
inference(cnf_transformation,[],['$inc_partial_order_definition2']) ).
cnf('19',plain,
implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[],['$inc_wajsberg_3']) ).
cnf('20',plain,
big_V(X,Y) = big_V(Y,X),
inference(simplify,[then_simplify],['19','3','3']) ).
cnf('21',plain,
truth = big_V(X,truth),
inference(paramodulation,[],['20','10']) ).
cnf('22',plain,
implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
inference(cnf_transformation,[],['$inc_wajsberg_4']) ).
cnf('23',plain,
implies(implies(not(X),not(truth)),X) = truth,
inference(paramodulation,[],['2','22']) ).
cnf('24',plain,
big_V(not(not(truth)),not(truth)) = truth,
inference(paramodulation,[],['23','3']) ).
cnf('25',plain,
not(big_hat(X,Y)) = big_V(not(X),not(Y)),
inference(cnf_transformation,[],[lemma_5]) ).
cnf('26',plain,
not(big_hat(not(truth),truth)) = truth,
inference(simplify,[],['24','25']) ).
cnf('27',plain,
big_hat(X,Y) = not(big_V(not(X),not(Y))),
inference(cnf_transformation,[],['$inc_big_hat_definition']) ).
cnf('28',plain,
big_hat(X,Y) = not(not(big_hat(X,Y))),
inference(paramodulation,[],['25','27']) ).
cnf('29',plain,
big_hat(not(truth),truth) = not(truth),
inference(paramodulation,[],['26','28']) ).
cnf('30',plain,
not(not(truth)) = truth,
inference(paramodulation,[],['29','26']) ).
cnf('31',plain,
not(big_hat(X,not(truth))) = big_V(not(X),truth),
inference(paramodulation,[],['30','25']) ).
cnf('32',plain,
big_hat(X,not(truth)) = not(big_V(not(X),truth)),
inference(paramodulation,[],['31','28']) ).
cnf('33',plain,
big_hat(X,not(truth)) = not(truth),
inference(paramodulation,[],['21','32']) ).
cnf('34',plain,
implies(not(X),not(big_hat(X,Y))) = truth,
inference(paramodulation,[],['25','9']) ).
cnf('35',plain,
implies(truth,implies(big_hat(X3,Y3),X3)) = truth,
inference(paramodulation,[],['34','22']) ).
cnf('36',plain,
implies(big_hat(X,Y),X) = truth,
inference(simplify,[],['35','2']) ).
cnf('37',plain,
implies(not(truth),X) = truth,
inference(paramodulation,[],['33','36']) ).
cnf('38',plain,
( ordered(implies(X,Y),implies(Z,Y))
| ~ ordered(X,Z) ),
inference(cnf_transformation,[],[lemma_1]) ).
cnf('39',plain,
ordered(not(truth),X3),
inference(resolution,[],['37','18']) ).
cnf('40',plain,
ordered(truth,implies(X3,Y3)),
inference(paramodulation,[then_simplify],['37','38','39']) ).
cnf('41',plain,
big_V(implies(x,y),implies(y,x)) != truth,
inference(cnf_transformation,[],[prove_mv_4]) ).
cnf('42',plain,
( big_V(implies(x,y),truth) != truth
| ~ ordered(y,x) ),
inference(paramodulation,[],['1','41']) ).
cnf('43',plain,
big_V(truth,X3) = truth,
inference(paramodulation,[],['2','9']) ).
cnf('44',plain,
~ ordered(y,x),
inference(paramodulation,[then_simplify],['20','42','43']) ).
cnf('45',plain,
$false,
inference(resolution,[then_simplify],['17','18','40','44']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : gkc %s
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 19:49:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.44
% 0.10/0.44 input clause set summed statistics:
% 0.10/0.44 ----------------------------------
% 0.10/0.44 in_clause_count: 17
% 0.10/0.44 in_rule_clause_count: 17
% 0.10/0.44 in_fact_clause_count: 0
% 0.10/0.44 in_answer_clause_count: 0
% 0.10/0.44 in_ground_clause_count: 1
% 0.10/0.44 in_unit_clause_count: 11
% 0.10/0.44 in_horn_clause_count: 17
% 0.10/0.44 in_pos_clause_count: 10
% 0.10/0.44 in_neg_clause_count: 1
% 0.10/0.44 in_poseq_clause_count: 11
% 0.10/0.44 in_negeq_clause_count: 2
% 0.10/0.44 in_unitposeq_clause_count: 10
% 0.10/0.44 in_chain_clause_count: 0
% 0.10/0.44 in_min_length: 1
% 0.10/0.44 in_max_length: 2
% 0.10/0.44 in_min_depth: 2
% 0.10/0.44 in_max_depth: 4
% 0.10/0.44 in_min_size: 5
% 0.10/0.44 in_max_size: 13
% 0.10/0.44 in_min_vars: 0
% 0.10/0.44 in_max_vars: 3
% 0.10/0.44 in_extaxiom_count: 8
% 0.10/0.44 in_axiom_count: 8
% 0.10/0.44 in_assumption_count: 0
% 0.10/0.44 in_goal_count: 1
% 0.10/0.44 in_neg_goal_count: 1
% 0.10/0.44 in_pos_goal_count: 0
% 0.10/0.44 in_posunit_goal_count: 0
% 0.10/0.44
% 0.10/0.44 auto guide:
% 0.10/0.44 -----------
% 0.10/0.44 {
% 0.10/0.44 "print":1,
% 0.10/0.44 "print_level": 15,
% 0.10/0.44 "max_size": 0,
% 0.10/0.44 "max_depth": 0,
% 0.10/0.44 "max_length": 0,
% 0.10/0.44 "max_dseconds": 0,
% 0.10/0.44 "runs":[
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.10/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.44 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.44 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.44 {"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},
% 0.10/0.44 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.44 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.10/0.44 {"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},
% 0.10/0.44 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.10/0.44 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.44
% 0.10/0.44 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
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% 0.10/0.44 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.10/0.44 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.10/0.44 {"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":50},
% 0.10/0.44 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.10/0.44 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.10/0.44 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.10/0.44 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.10/0.44
% 0.10/0.44 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.44 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.44 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.44 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.44 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.44 {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.44
% 0.10/0.44 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.44 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0}
% 0.10/0.44
% 0.10/0.44 ]}
% 0.10/0.44
% 0.10/0.45
% 0.10/0.45 **** run 1 fork 0 starts with strategy
% 0.10/0.45 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.10/0.45
% 0.10/0.45 **** run 2 fork 1 starts with strategy
% 0.10/0.45 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.10/0.45
% 0.10/0.45 **** run 3 fork 2 starts with strategy
% 0.10/0.45 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.10/0.45
% 0.10/0.45 **** run 4 fork 3 starts with strategy
% 0.10/0.45 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.10/0.45
% 0.10/0.45 **** run 5 fork 4 starts with strategy
% 0.10/0.45 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.46
% 0.10/0.46 **** run 6 fork 5 starts with strategy
% 0.10/0.46 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.46
% 0.10/0.46 **** run 7 fork 6 starts with strategy
% 0.10/0.46 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.10/0.46
% 0.10/0.46 **** run 8 fork 7 starts with strategy
% 0.10/0.46 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.55
% 0.22/0.55
% 0.22/0.55 fork 0: search terminated without proof.
% 0.22/0.55
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% 0.22/0.55 fork 1: search terminated without proof.
% 0.22/0.55
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% 0.22/0.55 fork 2: search terminated without proof.
% 0.22/0.56
% 0.22/0.56
% 0.22/0.56 fork 6: search terminated without proof.
% 0.22/0.57
% 0.22/0.57
% 0.22/0.57 fork 5: search terminated without proof.
% 0.22/0.57
% 0.22/0.57
% 0.22/0.57 fork 4: search terminated without proof.
% 0.22/0.58
% 0.22/0.58
% 0.22/0.58 fork 3: search terminated without proof.
% 1.09/0.59
% 1.09/0.59
% 1.09/0.59 fork 7: search terminated without proof.
% 1.09/0.61
% 1.09/0.61 **** run 14 fork 5 starts with strategy
% 1.09/0.61 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 1.09/0.62
% 1.09/0.62 **** run 10 fork 1 starts with strategy
% 1.09/0.62 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 1.09/0.62
% 1.09/0.62 **** run 9 fork 0 starts with strategy
% 1.09/0.62 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.09/0.62
% 1.09/0.62 **** run 11 fork 2 starts with strategy
% 1.09/0.62 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 1.62/0.65
% 1.62/0.65 **** run 13 fork 4 starts with strategy
% 1.62/0.65 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 1.62/0.66
% 1.62/0.66 **** run 12 fork 3 starts with strategy
% 1.62/0.66 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 1.62/0.66
% 1.62/0.66 **** run 16 fork 7 starts with strategy
% 1.62/0.66 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 1.62/0.66
% 1.62/0.66 **** run 15 fork 6 starts with strategy
% 1.62/0.66 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 2.03/0.73
% 2.03/0.73
% 2.03/0.73 fork 1: search terminated without proof.
% 2.03/0.73
% 2.03/0.73
% 2.03/0.73 fork 0: search terminated without proof.
% 2.03/0.73
% 2.03/0.73
% 2.03/0.73 fork 2: search terminated without proof.
% 2.03/0.76
% 2.03/0.76
% 2.03/0.76 fork 4: search terminated without proof.
% 2.03/0.76
% 2.03/0.76
% 2.03/0.76 fork 3: search terminated without proof.
% 2.03/0.77
% 2.03/0.77
% 2.03/0.77 fork 7: search terminated without proof.
% 2.03/0.77
% 2.03/0.77
% 2.03/0.77 fork 6: search terminated without proof.
% 2.03/0.80
% 2.03/0.80 **** run 18 fork 1 starts with strategy
% 2.03/0.80 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 2.74/0.80
% 2.74/0.80 **** run 17 fork 0 starts with strategy
% 2.74/0.80 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 2.74/0.80
% 2.74/0.80 **** run 19 fork 2 starts with strategy
% 2.74/0.80 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 2.74/0.80
% 2.74/0.80 **** run 24 fork 7 starts with strategy
% 2.74/0.80 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 2.74/0.83
% 2.74/0.83 **** run 21 fork 4 starts with strategy
% 2.74/0.83 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.74/0.83
% 2.74/0.83 **** run 20 fork 3 starts with strategy
% 2.74/0.83 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 2.74/0.84
% 2.74/0.84 **** run 23 fork 6 starts with strategy
% 2.74/0.84 {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 3.39/0.91
% 3.39/0.91
% 3.39/0.91 fork 2: search terminated without proof.
% 3.39/0.93
% 3.39/0.93
% 3.39/0.93 fork 4: search terminated without proof.
% 3.39/0.95
% 3.39/0.95
% 3.39/0.95 fork 6: search terminated without proof.
% 3.39/0.98
% 3.39/0.98
% 3.39/0.98 fork 1: search terminated without proof.
% 3.39/0.98
% 3.39/0.98 **** run 27 fork 2 starts with strategy
% 3.39/0.98 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 3.39/1.00
% 3.39/1.00 **** run 29 fork 4 starts with strategy
% 3.39/1.00 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 3.39/1.02
% 3.39/1.02
% 3.39/1.02 result: proof found
% 3.39/1.02 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/1.02 by run 14 fork 5 strategy {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 3.39/1.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/1.02
% 3.39/1.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.39/1.02
% 3.39/1.02 run 14 fork 5 statistics:
% 3.39/1.02 ----------------------------------
% 3.39/1.02 this run seconds: 0.082230
% 3.39/1.02 total seconds: 0.228095
% 3.39/1.02 stat_given_used: 199
% 3.39/1.02 stat_given_used_at_endgame: 0
% 3.39/1.02 stat_given_candidates: 1684
% 3.39/1.02 stat_given_candidates_at_endgame: 0
% 3.39/1.02 stat_given_candidates_h: 0
% 3.39/1.02 stat_binres_derived_cl: 57
% 3.39/1.02 stat_binres_derived_cl_h: 0
% 3.39/1.02 stat_factor_derived_cl: 0
% 3.39/1.02 stat_para_derived_cl: 15419
% 3.39/1.02 stat_tautologies_discarded: 5
% 3.39/1.02 stat_forward_subsumed: 2331
% 3.39/1.02 stat_derived_cut: 93
% 3.39/1.02 stat_derived_rewritten: 95
% 3.39/1.02 stat_weight_discarded_building: 0
% 3.39/1.02 stat_weight_discarded_cl: 4000
% 3.39/1.02 stat_internlimit_discarded_cl: 0
% 3.39/1.02 stat_simplified: 95 simplified 0 derived 0 given
% 3.39/1.02 stat_kept_cl: 7586
% 3.39/1.02 stat_built_cl: 12079
% 3.39/1.02 stat_hyperres_partial_cl: 0
% 3.39/1.02 stat_made_rewriters: 171
% 3.39/1.02 stat_backward_subsumed: 0
% 3.39/1.02 stat_propagated_subsumed: 0
% 3.39/1.02 stat_clsubs_attempted: 1704
% 3.39/1.02 stat_clsubs_fact_groundunit_found: 0
% 3.39/1.02 stat_clsubs_rule_groundunit_found: 4
% 3.39/1.02 stat_clsubs_top_meta_attempted: 20034
% 3.39/1.02 stat_clsubs_top_meta_failed: 18330
% 3.39/1.02 stat_clsubs_top_meta_nonpref_attempted: 20034
% 3.39/1.02 stat_clsubs_top_meta_nonpref_succeeded: 7051
% 3.39/1.02 stat_clsubs_top_meta_pref_attempted: 7051
% 3.39/1.02 stat_clsubs_top_meta_pref1_succeeded: 6969
% 3.39/1.02 stat_clsubs_top_meta_pref2_succeeded: 2265
% 3.39/1.02 stat_clsubs_top_meta_pref3_succeeded: 1704
% 3.39/1.02 stat_clsubs_top_meta_pref_succeeded: 1704
% 3.39/1.02 stat_clsubs_meta_attempted: 1781
% 3.39/1.02 stat_clsubs_meta_failed: 103
% 3.39/1.02 stat_clsubs_predsymbs_attempted: 0
% 3.39/1.02 stat_clsubs_unit_attempted: 1685
% 3.39/1.02 stat_clsubs_full_attempted: 19
% 3.39/1.02 stat_forwardsubs_attempted: 13918
% 3.39/1.02 stat_lit_hash_added: 7968
% 3.39/1.02 stat_lit_hash_computed: 25084
% 3.39/1.02 stat_lit_hash_match_found: 2419
% 3.39/1.02 stat_lit_hash_match_miss: 29228
% 3.39/1.02 stat_lit_hash_cut_ok: 74
% 3.39/1.02 stat_lit_strong_cut_ok: 32
% 3.39/1.02 stat_lit_hash_subsume_ok: 2331
% 3.39/1.02 clqueue els 10000000 used 1
% 3.39/1.02 clactive els 10000000 used 200
% 3.39/1.02 clactivesubsume els 10000000 used 1129
% 3.39/1.02 queue_termbuf els 200000000 used 557167
% 3.39/1.02 hyper_termbuf els 100000000 used 1
% 3.39/1.02 active_termbuf els 100000000 used 7697
% 3.39/1.02 varstack els 5000 last used 1
% 3.39/1.02 given_termbuf els 10000000 last used 1
% 3.39/1.02 simplified_termbuf els 10000000 last used 1
% 3.39/1.02 derived_termbuf els 10000000 last used 39
% 3.39/1.02 wr_mallocs: 29634
% 3.39/1.02 wr_callocs: 21
% 3.39/1.02 wr_reallocs: 675
% 3.39/1.02 wr_frees: 2
% 3.39/1.02 wr_malloc_bytes: 4163647668
% 3.39/1.02 wr_calloc_bytes: 112065536
% 3.39/1.02 wr_realloc_bytes: 186960
% 3.39/1.02 wr_realloc_freebytes: 0
% 3.39/1.02 ----------------------------------
% 3.39/1.02
% 3.39/1.02 **** run 31 fork 6 starts with strategy
% 3.39/1.02 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
%------------------------------------------------------------------------------