%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n005.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 12:09:16 PM UTC 2026
% Result : Theorem 0.22s 0.55s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : gkc %s
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 16:24:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.22/0.50
% 0.22/0.50 input clause set summed statistics:
% 0.22/0.50 ----------------------------------
% 0.22/0.50 in_clause_count: 151
% 0.22/0.50 in_rule_clause_count: 146
% 0.22/0.50 in_fact_clause_count: 5
% 0.22/0.50 in_answer_clause_count: 0
% 0.22/0.50 in_ground_clause_count: 6
% 0.22/0.50 in_unit_clause_count: 7
% 0.22/0.50 in_horn_clause_count: 123
% 0.22/0.50 in_pos_clause_count: 7
% 0.22/0.50 in_neg_clause_count: 29
% 0.22/0.50 in_poseq_clause_count: 0
% 0.22/0.50 in_negeq_clause_count: 0
% 0.22/0.50 in_unitposeq_clause_count: 0
% 0.22/0.50 in_chain_clause_count: 0
% 0.22/0.50 in_min_length: 1
% 0.22/0.50 in_max_length: 4
% 0.22/0.50 in_min_depth: 1
% 0.22/0.50 in_max_depth: 2
% 0.22/0.50 in_min_size: 2
% 0.22/0.50 in_max_size: 11
% 0.22/0.50 in_min_vars: 0
% 0.22/0.50 in_max_vars: 3
% 0.22/0.50 in_extaxiom_count: 0
% 0.22/0.50 in_axiom_count: 2
% 0.22/0.50 in_assumption_count: 0
% 0.22/0.50 in_goal_count: 149
% 0.22/0.50 in_neg_goal_count: 29
% 0.22/0.50 in_pos_goal_count: 6
% 0.22/0.50 in_posunit_goal_count: 6
% 0.22/0.50
% 0.22/0.50 auto guide:
% 0.22/0.50 -----------
% 0.22/0.50 {
% 0.22/0.50 "print":1,
% 0.22/0.50 "print_level": 15,
% 0.22/0.50 "max_size": 0,
% 0.22/0.50 "max_depth": 0,
% 0.22/0.50 "max_length": 0,
% 0.22/0.50 "max_dseconds": 0,
% 0.22/0.50 "equality":0,
% 0.22/0.50 "runs":[
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "sine":5, "strategy":["unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":2, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "sine":1, "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "sine":2, "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.22/0.50 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.50 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.22/0.50 {"sine":2, "var_weight":70, "repeat_var_weight":70, "max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.50 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.50 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.50
% 0.22/0.50 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "sine":5, "strategy":["unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.22/0.50 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.22/0.50 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.50 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.22/0.50 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.50
% 0.22/0.50 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.22/0.50 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.22/0.50 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.22/0.50 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.50 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.22/0.50 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.22/0.50 {"max_dseconds":50, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.22/0.50 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.22/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.50
% 0.22/0.50 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":250, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":250, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.22/0.50
% 0.22/0.50 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0}
% 0.22/0.50
% 0.22/0.50 ]}
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 **** run 1 fork 0 starts with strategy
% 0.22/0.50 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.22/0.51
% 0.22/0.51 **** run 2 fork 1 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.51
% 0.22/0.51 **** run 3 fork 2 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.22/0.51
% 0.22/0.51 **** run 4 fork 3 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"sine":5,"strategy":["unit"],"query_preference":0}
% 0.22/0.51
% 0.22/0.51 **** run 5 fork 4 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.22/0.51
% 0.22/0.51 **** run 6 fork 5 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.22/0.52
% 0.22/0.52 **** run 7 fork 6 starts with strategy
% 0.22/0.52 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.22/0.52
% 0.22/0.52 **** run 8 fork 7 starts with strategy
% 0.22/0.52 {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.22/0.55
% 0.22/0.55
% 0.22/0.55 result: proof found
% 0.22/0.55 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.55 by run 2 fork 1 strategy {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.55
% 0.22/0.55 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.55 fof('reflexivity_$sk', plain, r1(X1,X1),
% 0.22/0.55 inference(negpush_and_skolemize,[],['reflexivity'])).
% 0.22/0.55 fof('reflexivity', axiom, (! [X] : r1(X,X)),
% 0.22/0.55 input).
% 0.22/0.55 fof('main_$sk', plain, ((((((~p1($sk3(X1)) | ~p2($sk3(X1))) & ((p2($sk3(X1)) | p1($sk3(X1))) & ((~p2($sk3(X1)) | ~p3($sk3(X1))) & ((p3($sk3(X1)) | p2($sk3(X1))) & ((~p3($sk3(X1)) | ~p4($sk3(X1))) & ((p4($sk3(X1)) | p3($sk3(X1))) & ((~p4($sk3(X1)) | ~p5($sk3(X1))) & ((p5($sk3(X1)) | p4($sk3(X1))) & ((~p5($sk3(X1)) | ~p6($sk3(X1))) & ((p6($sk3(X1)) | p5($sk3(X1))) & ((~p6($sk3(X1)) | ~p7($sk3(X1))) & ((p7($sk3(X1)) | p6($sk3(X1))) & ((~p7($sk3(X1)) | ~p8($sk3(X1))) & ((p8($sk3(X1)) | p7($sk3(X1))) & ((~p8($sk3(X1)) | ~p9($sk3(X1))) & ((p9($sk3(X1)) | p8($sk3(X1))) & ((~p9($sk3(X1)) | ~p10($sk3(X1))) & ((p10($sk3(X1)) | p9($sk3(X1))) & ((~p10($sk3(X1)) | ~p11($sk3(X1))) & ((p11($sk3(X1)) | p10($sk3(X1))) & ((~p11($sk3(X1)) | ~p12($sk3(X1))) & ((p12($sk3(X1)) | p11($sk3(X1))) & ((~p12($sk3(X1)) | ~p13($sk3(X1))) & ((p13($sk3(X1)) | p12($sk3(X1))) & ((~p13($sk3(X1)) | ~p14($sk3(X1))) & ((p14($sk3(X1)) | p13($sk3(X1))) & ((~p14($sk3(X1)) | ~p15($sk3(X1))) & ((p15($sk3(X1)) | p14($sk3(X1))) & ((~p15($sk3(X1)) | ~p16($sk3(X1))) & ((p16($sk3(X1)) | p15($sk3(X1))) & ((~p16($sk3(X1)) | ~p17($sk3(X1))) & ((p17($sk3(X1)) | p16($sk3(X1))) & ((~p17($sk3(X1)) | ~p18($sk3(X1))) & ((p18($sk3(X1)) | p17($sk3(X1))) & ((~p18($sk3(X1)) | ~p19($sk3(X1))) & ((p19($sk3(X1)) | p18($sk3(X1))) & ((~p19($sk3(X1)) | ~p20($sk3(X1))) & ((p20($sk3(X1)) | p19($sk3(X1))) & ((~p20($sk3(X1)) | ~p21($sk3(X1))) & ((p21($sk3(X1)) | p20($sk3(X1))) & ((~p21($sk3(X1)) | ~p22($sk3(X1))) & ((p22($sk3(X1)) | p21($sk3(X1))) & ((~p22($sk3(X1)) | ~p23($sk3(X1))) & ((p23($sk3(X1)) | p22($sk3(X1))) & ((~p23($sk3(X1)) | ~p24($sk3(X1))) & ((p24($sk3(X1)) | p23($sk3(X1))) & ((~p24($sk3(X1)) | ~p25($sk3(X1))) & ((p25($sk3(X1)) | p24($sk3(X1))) & ((~p25($sk3(X1)) | ~p26($sk3(X1))) & ((p26($sk3(X1)) | p25($sk3(X1))) & ((~p26($sk3(X1)) | ~p27($sk3(X1))) & ((p27($sk3(X1)) | p26($sk3(X1))) & ((~p27($sk3(X1)) | ~p28($sk3(X1))) & ((p28($sk3(X1)) | p27($sk3(X1))) & ((~p28($sk3(X1)) | ~p29($sk3(X1))) & ((p29($sk3(X1)) | p28($sk3(X1))) & r1(X1,$sk3(X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) & ((~p30($sk4(X1)) & r1(X1,$sk4(X1))) & ((((~p1(X2) | p2(X2)) & (p1(X2) | ~p2(X2))) | ~r1(X1,X2)) & ((((~p2(X3) | p3(X3)) & (p2(X3) | ~p3(X3))) | ~r1($sk5(X1),X3)) & (((((~p3(X4) | p4(X4)) & (p3(X4) | ~p4(X4))) | ~r1($sk6(X1),X4)) & (((((~p4(X5) | p5(X5)) & (p4(X5) | ~p5(X5))) | ~r1($sk7(X1),X5)) & (((((~p5(X6) | p6(X6)) & (p5(X6) | ~p6(X6))) | ~r1($sk8(X1),X6)) & (((((~p6(X7) | p7(X7)) & (p6(X7) | ~p7(X7))) | ~r1($sk9(X1),X7)) & (((((~p7(X8) | p8(X8)) & (p7(X8) | ~p8(X8))) | ~r1($sk10(X1),X8)) & (((((~p8(X9) | p9(X9)) & (p8(X9) | ~p9(X9))) | ~r1($sk11(X1),X9)) & (((((~p9(X10) | p10(X10)) & (p9(X10) | ~p10(X10))) | ~r1($sk12(X1),X10)) & (((((~p10(X11) | p11(X11)) & (p10(X11) | ~p11(X11))) | ~r1($sk13(X1),X11)) & (((((~p11(X12) | p12(X12)) & (p11(X12) | ~p12(X12))) | ~r1($sk14(X1),X12)) & (((((~p12(X13) | p13(X13)) & (p12(X13) | ~p13(X13))) | ~r1($sk15(X1),X13)) & (((((~p13(X14) | p14(X14)) & (p13(X14) | ~p14(X14))) | ~r1($sk16(X1),X14)) & (((((~p14(X15) | p15(X15)) & (p14(X15) | ~p15(X15))) | ~r1($sk17(X1),X15)) & (((((~p15(X16) | p16(X16)) & (p15(X16) | ~p16(X16))) | ~r1($sk18(X1),X16)) & (((((~p16(X17) | p17(X17)) & (p16(X17) | ~p17(X17))) | ~r1($sk19(X1),X17)) & (((((~p17(X18) | p18(X18)) & (p17(X18) | ~p18(X18))) | ~r1($sk20(X1),X18)) & (((((~p18(X19) | p19(X19)) & (p18(X19) | ~p19(X19))) | ~r1($sk21(X1),X19)) & (((((~p19(X20) | p20(X20)) & (p19(X20) | ~p20(X20))) | ~r1($sk22(X1),X20)) & (((((~p20(X21) | p21(X21)) & (p20(X21) | ~p21(X21))) | ~r1($sk23(X1),X21)) & (((((~p21(X22) | p22(X22)) & (p21(X22) | ~p22(X22))) | ~r1($sk24(X1),X22)) & (((((~p22(X23) | p23(X23)) & (p22(X23) | ~p23(X23))) | ~r1($sk25(X1),X23)) & (((((~p23(X24) | p24(X24)) & (p23(X24) | ~p24(X24))) | ~r1($sk26(X1),X24)) & (((((~p24(X25) | p25(X25)) & (p24(X25) | ~p25(X25))) | ~r1($sk27(X1),X25)) & (((((~p25(X26) | p26(X26)) & (p25(X26) | ~p26(X26))) | ~r1($sk28(X1),X26)) & (((((~p26(X27) | p27(X27)) & (p26(X27) | ~p27(X27))) | ~r1($sk29(X1),X27)) & (((((~p27(X28) | p28(X28)) & (p27(X28) | ~p28(X28))) | ~r1($sk30(X1),X28)) & (((((~p28(X29) | p29(X29)) & (p28(X29) | ~p29(X29))) | ~r1($sk31(X1),X29)) & ((~$false & r1($sk31(X1),$sk32(X1))) & r1($sk30(X1),$sk31(X1)))) & r1($sk29(X1),$sk30(X1)))) & r1($sk28(X1),$sk29(X1)))) & r1($sk27(X1),$sk28(X1)))) & r1($sk26(X1),$sk27(X1)))) & r1($sk25(X1),$sk26(X1)))) & r1($sk24(X1),$sk25(X1)))) & r1($sk23(X1),$sk24(X1)))) & r1($sk22(X1),$sk23(X1)))) & r1($sk21(X1),$sk22(X1)))) & r1($sk20(X1),$sk21(X1)))) & r1($sk19(X1),$sk20(X1)))) & r1($sk18(X1),$sk19(X1)))) & r1($sk17(X1),$sk18(X1)))) & r1($sk16(X1),$sk17(X1)))) & r1($sk15(X1),$sk16(X1)))) & r1($sk14(X1),$sk15(X1)))) & r1($sk13(X1),$sk14(X1)))) & r1($sk12(X1),$sk13(X1)))) & r1($sk11(X1),$sk12(X1)))) & r1($sk10(X1),$sk11(X1)))) & r1($sk9(X1),$sk10(X1)))) & r1($sk8(X1),$sk9(X1)))) & r1($sk7(X1),$sk8(X1)))) & r1($sk6(X1),$sk7(X1)))) & r1($sk5(X1),$sk6(X1)))) & r1(X1,$sk5(X1))))))) | ~r1($sk2,X1)) & r1($sk1,$sk2)) & ((p1($sk34) & r1($sk33,$sk34)) & (p30($sk33) & r1($sk1,$sk33)))),
% 0.22/0.55 inference(negpush_and_skolemize,[],['main'])).
% 0.22/0.55 fof('main', conjecture, ~(? [X] : ~((! [Y] : ((~r1(X,Y) | ~p30(Y)) | (! [X] : (~r1(Y,X) | ~p1(X))))) | (! [Y] : (~r1(X,Y) | ~(! [X] : (~r1(Y,X) | ~((((! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : ((~r1(Y,X) | (! [Y] : ((~r1(X,Y) | (! [X] : (~r1(Y,X) | $false))) | ~(! [X] : (~r1(Y,X) | ~((p29(X) & ~p28(X)) | (~p29(X) & p28(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p28(Y) & ~p27(Y)) | (~p28(Y) & p27(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p27(X) & ~p26(X)) | (~p27(X) & p26(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p26(Y) & ~p25(Y)) | (~p26(Y) & p25(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p25(X) & ~p24(X)) | (~p25(X) & p24(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p24(Y) & ~p23(Y)) | (~p24(Y) & p23(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p23(X) & ~p22(X)) | (~p23(X) & p22(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p22(Y) & ~p21(Y)) | (~p22(Y) & p21(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p21(X) & ~p20(X)) | (~p21(X) & p20(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p20(Y) & ~p19(Y)) | (~p20(Y) & p19(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p19(X) & ~p18(X)) | (~p19(X) & p18(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p18(Y) & ~p17(Y)) | (~p18(Y) & p17(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p17(X) & ~p16(X)) | (~p17(X) & p16(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p16(Y) & ~p15(Y)) | (~p16(Y) & p15(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p15(X) & ~p14(X)) | (~p15(X) & p14(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p14(Y) & ~p13(Y)) | (~p14(Y) & p13(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p13(X) & ~p12(X)) | (~p13(X) & p12(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p12(Y) & ~p11(Y)) | (~p12(Y) & p11(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p11(X) & ~p10(X)) | (~p11(X) & p10(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p10(Y) & ~p9(Y)) | (~p10(Y) & p9(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p9(X) & ~p8(X)) | (~p9(X) & p8(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p8(Y) & ~p7(Y)) | (~p8(Y) & p7(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p7(X) & ~p6(X)) | (~p7(X) & p6(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p6(Y) & ~p5(Y)) | (~p6(Y) & p5(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p5(X) & ~p4(X)) | (~p5(X) & p4(X)))))))) | ~(! [Y] : (~r1(X,Y) | ~((p4(Y) & ~p3(Y)) | (~p4(Y) & p3(Y)))))))) | ~(! [X] : (~r1(Y,X) | ~((p3(X) & ~p2(X)) | (~p3(X) & p2(X))))))) | ~(! [Y] : (~r1(X,Y) | ~((p2(Y) & ~p1(Y)) | (~p2(Y) & p1(Y)))))) | (! [Y] : (~r1(X,Y) | p30(Y)))) | (! [Y] : ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~r1(X,Y) | (~p28(Y) & ~p29(Y))) | (p29(Y) & p28(Y))) | (~p27(Y) & ~p28(Y))) | (p28(Y) & p27(Y))) | (~p26(Y) & ~p27(Y))) | (p27(Y) & p26(Y))) | (~p25(Y) & ~p26(Y))) | (p26(Y) & p25(Y))) | (~p24(Y) & ~p25(Y))) | (p25(Y) & p24(Y))) | (~p23(Y) & ~p24(Y))) | (p24(Y) & p23(Y))) | (~p22(Y) & ~p23(Y))) | (p23(Y) & p22(Y))) | (~p21(Y) & ~p22(Y))) | (p22(Y) & p21(Y))) | (~p20(Y) & ~p21(Y))) | (p21(Y) & p20(Y))) | (~p19(Y) & ~p20(Y))) | (p20(Y) & p19(Y))) | (~p18(Y) & ~p19(Y))) | (p19(Y) & p18(Y))) | (~p17(Y) & ~p18(Y))) | (p18(Y) & p17(Y))) | (~p16(Y) & ~p17(Y))) | (p17(Y) & p16(Y))) | (~p15(Y) & ~p16(Y))) | (p16(Y) & p15(Y))) | (~p14(Y) & ~p15(Y))) | (p15(Y) & p14(Y))) | (~p13(Y) & ~p14(Y))) | (p14(Y) & p13(Y))) | (~p12(Y) & ~p13(Y))) | (p13(Y) & p12(Y))) | (~p11(Y) & ~p12(Y))) | (p12(Y) & p11(Y))) | (~p10(Y) & ~p11(Y))) | (p11(Y) & p10(Y))) | (~p9(Y) & ~p10(Y))) | (p10(Y) & p9(Y))) | (~p8(Y) & ~p9(Y))) | (p9(Y) & p8(Y))) | (~p7(Y) & ~p8(Y))) | (p8(Y) & p7(Y))) | (~p6(Y) & ~p7(Y))) | (p7(Y) & p6(Y))) | (~p5(Y) & ~p6(Y))) | (p6(Y) & p5(Y))) | (~p4(Y) & ~p5(Y))) | (p5(Y) & p4(Y))) | (~p3(Y) & ~p4(Y))) | (p4(Y) & p3(Y))) | (~p2(Y) & ~p3(Y))) | (p3(Y) & p2(Y))) | (~p1(Y) & ~p2(Y))) | (p2(Y) & p1(Y))))))))))),
% 0.22/0.55 input).
% 0.22/0.55 cnf('1', plain, (r1(X,X)),
% 0.22/0.55 inference(cnf_transformation,[],['reflexivity_$sk'])).
% 0.22/0.55 cnf('2', plain, (~r1($sk2,X) | ~r1(X,Y) | ~p1(Y) | p2(Y)),
% 0.22/0.55 inference(cnf_transformation,[],['main_$sk'])).
% 0.22/0.55 cnf('3', plain, (~r1($sk2,X) | ~p1(X) | p2(X)),
% 0.22/0.55 inference(resolution,[],['1','2'])).
% 0.22/0.55 cnf('4', plain, (r1(X,$sk3(X)) | ~r1($sk2,X)),
% 0.22/0.55 inference(cnf_transformation,[],['main_$sk'])).
% 0.22/0.55 cnf('5', plain, (r1($sk2,$sk3($sk2))),
% 0.22/0.55 inference(resolution,[],['1','4'])).
% 0.22/0.55 cnf('6', plain, (~p1($sk3($sk2)) | p2($sk3($sk2))),
% 0.22/0.55 inference(resolution,[],['3','5'])).
% 0.22/0.55 cnf('7', plain, (p2($sk3(X)) | p1($sk3(X)) | ~r1($sk2,X)),
% 0.22/0.55 inference(cnf_transformation,[],['main_$sk'])).
% 0.22/0.55 cnf('8', plain, (p2($sk3($sk2)) | p1($sk3($sk2))),
% 0.22/0.55 inference(resolution,[],['1','7'])).
% 0.22/0.55 cnf('9', plain, (~r1($sk2,X) | ~r1(X,Y) | ~p2(Y) | p1(Y)),
% 0.22/0.55 inference(cnf_transformation,[],['main_$sk'])).
% 0.22/0.55 cnf('10', plain, (~r1($sk2,X) | ~p2(X) | p1(X)),
% 0.22/0.55 inference(resolution,[],['1','9'])).
% 0.22/0.55 cnf('11', plain, (~p2($sk3($sk2)) | p1($sk3($sk2))),
% 0.22/0.55 inference(resolution,[],['10','5'])).
% 0.22/0.55 cnf('12', plain, (p1($sk3($sk2))),
% 0.22/0.55 inference(simplify,[],['8','11'])).
% 0.22/0.55 cnf('13', plain, (~p2($sk3(X)) | ~p1($sk3(X)) | ~r1($sk2,X)),
% 0.22/0.55 inference(cnf_transformation,[],['main_$sk'])).
% 0.22/0.55 cnf('14', plain, (r1(X0,X0)),
% 0.22/0.55 inference(cnf_transformation,[],['reflexivity_$sk'])).
% 0.22/0.55 cnf('15', plain, (~p2($sk3($sk2))),
% 0.22/0.55 inference(resolution,[then_simplify],['12','13','14'])).
% 0.22/0.55 cnf('16', plain, ($false),
% 0.22/0.55 inference(simplify,[then_simplify],['6','8','15'])).
% 0.22/0.55
% 0.22/0.55 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.55
% 0.22/0.55 run 2 fork 1 statistics:
% 0.22/0.55 ----------------------------------
% 0.22/0.55 this run seconds: 0.017000
% 0.22/0.55 total seconds: 0.048053
% 0.22/0.55 stat_given_used: 278
% 0.22/0.55 stat_given_used_at_endgame: 0
% 0.22/0.55 stat_given_candidates: 339
% 0.22/0.55 stat_given_candidates_at_endgame: 0
% 0.22/0.55 stat_given_candidates_h: 0
% 0.22/0.55 stat_binres_derived_cl: 390
% 0.22/0.55 stat_binres_derived_cl_h: 0
% 0.22/0.55 stat_factor_derived_cl: 2
% 0.22/0.55 stat_para_derived_cl: 0
% 0.22/0.55 stat_tautologies_discarded: 27
% 0.22/0.55 stat_forward_subsumed: 0
% 0.22/0.55 stat_derived_cut: 65
% 0.22/0.55 stat_derived_rewritten: 0
% 0.22/0.55 stat_weight_discarded_building: 0
% 0.22/0.55 stat_weight_discarded_cl: 0
% 0.22/0.55 stat_internlimit_discarded_cl: 0
% 0.22/0.55 stat_simplified: 2 simplified 0 derived 0 given
% 0.22/0.55 stat_kept_cl: 365
% 0.22/0.55 stat_built_cl: 922
% 0.22/0.55 stat_hyperres_partial_cl: 0
% 0.22/0.55 stat_made_rewriters: 0
% 0.22/0.55 stat_backward_subsumed: 0
% 0.22/0.55 stat_propagated_subsumed: 0
% 0.22/0.55 stat_clsubs_attempted: 321
% 0.22/0.55 stat_clsubs_fact_groundunit_found: 5
% 0.22/0.55 stat_clsubs_rule_groundunit_found: 0
% 0.22/0.55 stat_clsubs_top_meta_attempted: 34364
% 0.22/0.55 stat_clsubs_top_meta_failed: 34043
% 0.22/0.55 stat_clsubs_top_meta_nonpref_attempted: 34364
% 0.22/0.55 stat_clsubs_top_meta_nonpref_succeeded: 14454
% 0.22/0.55 stat_clsubs_top_meta_pref_attempted: 14454
% 0.22/0.55 stat_clsubs_top_meta_pref1_succeeded: 1227
% 0.22/0.55 stat_clsubs_top_meta_pref2_succeeded: 321
% 0.22/0.55 stat_clsubs_top_meta_pref3_succeeded: 321
% 0.22/0.55 stat_clsubs_top_meta_pref_succeeded: 321
% 0.22/0.55 stat_clsubs_meta_attempted: 618
% 0.22/0.55 stat_clsubs_meta_failed: 268
% 0.22/0.55 stat_clsubs_predsymbs_attempted: 0
% 0.22/0.55 stat_clsubs_unit_attempted: 43
% 0.22/0.55 stat_clsubs_full_attempted: 278
% 0.22/0.55 stat_forwardsubs_attempted: 365
% 0.22/0.55 stat_lit_hash_added: 600
% 0.22/0.55 stat_lit_hash_computed: 3667
% 0.22/0.55 stat_lit_hash_match_found: 7
% 0.22/0.55 stat_lit_hash_match_miss: 4298
% 0.22/0.55 stat_lit_hash_cut_ok: 3
% 0.22/0.55 stat_lit_strong_cut_ok: 63
% 0.22/0.55 stat_lit_hash_subsume_ok: 0
% 0.22/0.55 clqueue els 10000000 used 1
% 0.22/0.55 clactive els 10000000 used 279
% 0.22/0.55 clactivesubsume els 10000000 used 1393
% 0.22/0.55 queue_termbuf els 200000000 used 17494
% 0.22/0.55 hyper_termbuf els 100000000 used 1
% 0.22/0.55 active_termbuf els 100000000 used 9657
% 0.22/0.55 varstack els 5000 last used 1
% 0.22/0.55 given_termbuf els 10000000 last used 1
% 0.22/0.55 simplified_termbuf els 10000000 last used 1
% 0.22/0.55 derived_termbuf els 10000000 last used 5
% 0.22/0.55 wr_mallocs: 1937
% 0.22/0.55 wr_callocs: 21
% 0.22/0.55 wr_reallocs: 174
% 0.22/0.55 wr_frees: 4
% 0.22/0.55 wr_malloc_bytes: 4162659908
% 0.22/0.55 wr_calloc_bytes: 112065536
% 0.22/0.55 wr_realloc_bytes: 32168
% 0.22/0.55 wr_realloc_freebytes: 0
% 0.22/0.55 ----------------------------------
%------------------------------------------------------------------------------