%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n006.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 12:09:08 PM UTC 2026
% Result : Theorem 2.24s 0.83s
% Output : CNFRefutation 2.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : gkc %s
% 0.10/0.36 % Computer : n006.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 : Sat Sep 5 07:02:31 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.23/0.50
% 0.23/0.50 input clause set summed statistics:
% 0.23/0.50 ----------------------------------
% 0.23/0.50 in_clause_count: 35
% 0.23/0.50 in_rule_clause_count: 22
% 0.23/0.50 in_fact_clause_count: 13
% 0.23/0.50 in_answer_clause_count: 0
% 0.23/0.50 in_ground_clause_count: 16
% 0.23/0.50 in_unit_clause_count: 15
% 0.23/0.50 in_horn_clause_count: 29
% 0.23/0.50 in_pos_clause_count: 15
% 0.23/0.50 in_neg_clause_count: 11
% 0.23/0.50 in_poseq_clause_count: 0
% 0.23/0.50 in_negeq_clause_count: 0
% 0.23/0.50 in_unitposeq_clause_count: 0
% 0.23/0.50 in_chain_clause_count: 0
% 0.23/0.50 in_min_length: 1
% 0.23/0.50 in_max_length: 10
% 0.23/0.50 in_min_depth: 1
% 0.23/0.50 in_max_depth: 2
% 0.23/0.50 in_min_size: 2
% 0.23/0.50 in_max_size: 28
% 0.23/0.50 in_min_vars: 0
% 0.23/0.50 in_max_vars: 8
% 0.23/0.50 in_extaxiom_count: 0
% 0.23/0.50 in_axiom_count: 1
% 0.23/0.50 in_assumption_count: 0
% 0.23/0.50 in_goal_count: 34
% 0.23/0.50 in_neg_goal_count: 11
% 0.23/0.50 in_pos_goal_count: 14
% 0.23/0.50 in_posunit_goal_count: 13
% 0.23/0.50
% 0.23/0.50 auto guide:
% 0.23/0.50 -----------
% 0.23/0.50 {
% 0.23/0.50 "print":1,
% 0.23/0.50 "print_level": 15,
% 0.23/0.50 "max_size": 0,
% 0.23/0.50 "max_depth": 0,
% 0.23/0.50 "max_length": 0,
% 0.23/0.50 "max_dseconds": 0,
% 0.23/0.50 "equality":0,
% 0.23/0.50 "runs":[
% 0.23/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.50 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.23/0.50 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.23/0.50 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.23/0.50 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.23/0.50 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.23/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.23/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.23/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.23/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.23/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.50
% 0.23/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.50 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.23/0.50 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.23/0.50 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.23/0.50 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.23/0.50 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.23/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.23/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.23/0.50 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.23/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.23/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.50
% 0.23/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.50 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.50 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.50 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.23/0.50 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.23/0.50 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.23/0.50 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.23/0.50 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.23/0.50 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.23/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.23/0.50 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.23/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.23/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.50
% 0.23/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.23/0.50 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.23/0.50 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.23/0.50 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.23/0.50 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.23/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.23/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.23/0.50 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.23/0.50
% 0.23/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.23/0.50 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.23/0.50 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.23/0.50 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.23/0.50 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.23/0.50 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.23/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.23/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.23/0.50 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0}
% 0.23/0.50
% 0.23/0.50 ]}
% 0.23/0.50
% 0.23/0.50
% 0.23/0.50 **** run 1 fork 0 starts with strategy
% 0.23/0.50 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.23/0.50
% 0.23/0.50 **** run 2 fork 1 starts with strategy
% 0.23/0.50 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.23/0.51
% 0.23/0.51 **** run 3 fork 2 starts with strategy
% 0.23/0.51 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.23/0.51
% 0.23/0.51 **** run 4 fork 3 starts with strategy
% 0.23/0.51 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.23/0.51
% 0.23/0.51 **** run 5 fork 4 starts with strategy
% 0.23/0.51 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.23/0.51
% 0.23/0.51 **** run 6 fork 5 starts with strategy
% 0.23/0.51 {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.23/0.52
% 0.23/0.52 **** run 7 fork 6 starts with strategy
% 0.23/0.52 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.23/0.53
% 0.23/0.53 **** run 8 fork 7 starts with strategy
% 0.23/0.53 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.63/0.61
% 0.63/0.61
% 0.63/0.61 fork 2: search terminated without proof.
% 0.63/0.62
% 0.63/0.62
% 0.63/0.62 fork 4: search terminated without proof.
% 0.63/0.62
% 0.63/0.62
% 0.63/0.62 fork 6: search terminated without proof.
% 0.63/0.63
% 0.63/0.63
% 0.63/0.63 fork 1: search terminated without proof.
% 0.63/0.63
% 0.63/0.63
% 0.63/0.63 fork 5: search terminated without proof.
% 0.63/0.63
% 0.63/0.63
% 0.63/0.63 fork 7: search terminated without proof.
% 1.13/0.66
% 1.13/0.66 **** run 10 fork 1 starts with strategy
% 1.13/0.66 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 1.13/0.68
% 1.13/0.68 **** run 11 fork 2 starts with strategy
% 1.13/0.68 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 1.13/0.68
% 1.13/0.68
% 1.13/0.68 fork 0: search terminated without proof.
% 1.13/0.69
% 1.13/0.69 **** run 13 fork 4 starts with strategy
% 1.13/0.69 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 1.13/0.69
% 1.13/0.69 **** run 15 fork 6 starts with strategy
% 1.13/0.69 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 1.51/0.70
% 1.51/0.70 **** run 14 fork 5 starts with strategy
% 1.51/0.70 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 1.51/0.70
% 1.51/0.70 **** run 16 fork 7 starts with strategy
% 1.51/0.70 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 1.51/0.71
% 1.51/0.71
% 1.51/0.71 fork 3: search terminated without proof.
% 1.51/0.77
% 1.51/0.77
% 1.51/0.77 fork 1: search terminated without proof.
% 1.51/0.78
% 1.51/0.78
% 1.51/0.78 fork 2: search terminated without proof.
% 1.51/0.79
% 1.51/0.79
% 1.51/0.79 fork 4: search terminated without proof.
% 1.51/0.80
% 1.51/0.80
% 1.51/0.80 fork 6: search terminated without proof.
% 2.24/0.80
% 2.24/0.80 **** run 18 fork 1 starts with strategy
% 2.24/0.80 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 2.24/0.81
% 2.24/0.81
% 2.24/0.81 fork 5: search terminated without proof.
% 2.24/0.81
% 2.24/0.81
% 2.24/0.81 fork 7: search terminated without proof.
% 2.24/0.82
% 2.24/0.82 **** run 9 fork 0 starts with strategy
% 2.24/0.82 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 2.24/0.83
% 2.24/0.83
% 2.24/0.83 result: proof found
% 2.24/0.83 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/0.83 by run 18 fork 1 strategy {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 2.24/0.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/0.83
% 2.24/0.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/0.83 fof('main_$sk', plain, ((((((((~p1($sk7) | (~p2($sk7) | (~p3($sk7) | (~p4($sk7) | (~p5($sk7) | ~p6($sk7)))))) & r1($sk6,$sk7)) & r1($sk5,$sk6)) & r1($sk4,$sk5)) & r1($sk3,$sk4)) & r1($sk2,$sk3)) & r1($sk1,$sk2)) & (((((((((((((((~p1(X8) | ~p2(X8)) & (p2(X8) | p1(X8))) | ~r1(X7,X8)) | ~r1(X6,X7)) | ~r1(X5,X6)) | ~r1(X4,X5)) & ((~p3($sk8(X1,X2,X3,X4)) & r1(X4,$sk8(X1,X2,X3,X4))) & ((((((~p2(X12) | ~p3(X12)) & (p3(X12) | p2(X12))) | ~r1(X11,X12)) | ~r1(X10,X11)) | ~r1(X9,X10)) | ~r1(X4,X9)))) | ~r1(X3,X4)) & ((~p4($sk9(X1,X2,X3)) & r1(X3,$sk9(X1,X2,X3))) & (((((((~p3(X17) | ~p4(X17)) & (p4(X17) | p3(X17))) | ~r1(X16,X17)) | ~r1(X15,X16)) | ~r1(X14,X15)) | ~r1(X13,X14)) | ~r1(X3,X13)))) | ~r1(X2,X3)) & ((~p5($sk10(X1,X2)) & r1(X2,$sk10(X1,X2))) & ((((((((~p4(X23) | ~p5(X23)) & (p5(X23) | p4(X23))) | ~r1(X22,X23)) | ~r1(X21,X22)) | ~r1(X20,X21)) | ~r1(X19,X20)) | ~r1(X18,X19)) | ~r1(X2,X18)))) | ~r1(X1,X2)) & ((~p6($sk11(X1)) & r1(X1,$sk11(X1))) & (((((((((~p5(X30) | ~p1(X30)) & (p1(X30) | p5(X30))) | ~r1(X29,X30)) | ~r1(X28,X29)) | ~r1(X27,X28)) | ~r1(X26,X27)) | ~r1(X25,X26)) | ~r1(X24,X25)) | ~r1(X1,X24)))) | ~r1($sk1,X1)) & ((~p7($sk12) & r1($sk1,$sk12)) & (((((((p2($sk18) | (p4($sk18) | (p6($sk18) | (p8($sk18) | (p10($sk18) | p12($sk18)))))) & r1($sk17,$sk18)) & r1($sk16,$sk17)) & r1($sk15,$sk16)) & r1($sk14,$sk15)) & r1($sk13,$sk14)) & r1($sk1,$sk13))))),
% 2.24/0.83 inference(negpush_and_skolemize,[],['main'])).
% 2.24/0.83 fof('main', conjecture, ~(? [X] : ~((((! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (((((~p12(X) & ~p10(X)) & ~p8(X)) & ~p6(X)) & ~p4(X)) & ~p2(X)))))))))))))) | (! [Y] : (~r1(X,Y) | p7(Y)))) | ~(! [Y] : (~r1(X,Y) | ~((~(! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | ~((~p5(X) & ~p1(X)) | (p1(X) & p5(X))))))))))))))))) | (! [X] : (~r1(Y,X) | p6(X)))) | ~(! [X] : (~r1(Y,X) | ~((~(! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | ~((~p4(X) & ~p5(X)) | (p5(X) & p4(X))))))))))))))) | (! [Y] : (~r1(X,Y) | p5(Y)))) | ~(! [Y] : (~r1(X,Y) | ~((~(! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | ~((~p3(X) & ~p4(X)) | (p4(X) & p3(X))))))))))))) | (! [X] : (~r1(Y,X) | p4(X)))) | ~(! [X] : (~r1(Y,X) | ~((~(! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | ~((~p2(X) & ~p3(X)) | (p3(X) & p2(X))))))))))) | (! [Y] : (~r1(X,Y) | p3(Y)))) | ~(! [Y] : (~r1(X,Y) | ~~(! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | ~((~p1(X) & ~p2(X)) | (p2(X) & p1(X)))))))))))))))))))))))) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (((((p6(X) & p5(X)) & p4(X)) & p3(X)) & p2(X)) & p1(X)))))))))))))))),
% 2.24/0.83 input).
% 2.24/0.83 fof('reflexivity_$sk', plain, r1(X1,X1),
% 2.24/0.83 inference(negpush_and_skolemize,[],['reflexivity'])).
% 2.24/0.83 fof('reflexivity', axiom, (! [X] : r1(X,X)),
% 2.24/0.83 input).
% 2.24/0.83 cnf('1', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | ~r1(U,V) | ~r1(V,W) | ~r1(W,X2006) | ~r1(X2006,X2007) | p3(X2007) | p2(X2007)),
% 2.24/0.83 inference(cnf_transformation,[],['main_$sk'])).
% 2.24/0.83 cnf('2', plain, (r1(X0,X0)),
% 2.24/0.83 inference(cnf_transformation,[],['reflexivity_$sk'])).
% 2.24/0.83 cnf('3', plain, (~r1($sk1,X) | ~r1(Y,Z) | ~r1(U,Y) | ~r1(V,U) | ~r1(W,V) | ~r1(X,W) | p3(Z) | p2(Z)),
% 2.24/0.83 inference(factorization,[then_simplify],['1','2'])).
% 2.24/0.83 cnf('4', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | p3(U) | p2(U)),
% 2.24/0.83 inference(factorization,[then_simplify],['3','2'])).
% 2.24/0.83 cnf('5', plain, (~r1($sk1,X) | ~r1(X,Y) | p3(Y) | p2(Y)),
% 2.24/0.83 inference(factorization,[then_simplify],['4','2'])).
% 2.24/0.83 cnf('6', plain, (r1(X,X)),
% 2.24/0.83 inference(cnf_transformation,[],['reflexivity_$sk'])).
% 2.24/0.83 cnf('7', plain, (r1(X,$sk11(X)) | ~r1($sk1,X)),
% 2.24/0.83 inference(cnf_transformation,[],['main_$sk'])).
% 2.24/0.83 cnf('8', plain, (r1($sk1,$sk11($sk1))),
% 2.24/0.83 inference(resolution,[],['6','7'])).
% 2.24/0.83 cnf('9', plain, (~r1($sk11($sk1),X) | p3(X) | p2(X)),
% 2.24/0.83 inference(resolution,[],['5','8'])).
% 2.24/0.83 cnf('10', plain, (r1(X,$sk10(Y,X)) | ~r1($sk1,Y) | ~r1(Y,X)),
% 2.24/0.83 inference(cnf_transformation,[],['main_$sk'])).
% 2.24/0.83 cnf('11', plain, (r1($sk11($sk1),$sk10($sk1,$sk11($sk1)))),
% 2.24/0.83 inference(resolution,[then_simplify],['8','10','2'])).
% 2.24/0.83 cnf('12', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | ~r1(U,V) | ~r1(V,W) | ~r1(W,X2006) | ~r1(X2006,X2007) | ~p4(X2007) | ~p3(X2007)),
% 2.24/0.83 inference(cnf_transformation,[],['main_$sk'])).
% 2.24/0.83 cnf('13', plain, (~r1($sk1,X) | ~r1(Y,Z) | ~r1(U,Y) | ~r1(V,U) | ~r1(W,V) | ~r1(X,W) | ~p4(Z) | ~p3(Z)),
% 2.24/0.83 inference(factorization,[then_simplify],['12','2'])).
% 2.24/0.83 cnf('14', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | ~p4(U) | ~p3(U)),
% 2.24/0.83 inference(factorization,[then_simplify],['13','2'])).
% 2.24/0.83 cnf('15', plain, (~r1($sk1,X) | ~r1(X,Y) | ~p4(Y) | ~p3(Y)),
% 2.24/0.83 inference(factorization,[then_simplify],['14','2'])).
% 2.24/0.83 cnf('16', plain, (~r1($sk11($sk1),X) | ~p4(X) | ~p3(X)),
% 2.24/0.83 inference(resolution,[],['15','8'])).
% 2.24/0.83 cnf('17', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | ~r1(U,V) | ~r1(V,W) | ~r1(W,X2006) | ~r1(X2006,X2007) | p5(X2007) | p4(X2007)),
% 2.24/0.83 inference(cnf_transformation,[],['main_$sk'])).
% 2.24/0.83 cnf('18', plain, (~r1($sk1,X) | ~r1(Y,Z) | ~r1(U,Y) | ~r1(V,U) | ~r1(W,V) | ~r1(X,W) | p5(Z) | p4(Z)),
% 2.24/0.83 inference(factorization,[then_simplify],['17','2'])).
% 2.24/0.83 cnf('19', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | p5(U) | p4(U)),
% 2.24/0.83 inference(factorization,[then_simplify],['18','2'])).
% 2.24/0.83 cnf('20', plain, (~r1($sk1,X) | ~r1(X,Y) | p5(Y) | p4(Y)),
% 2.24/0.83 inference(factorization,[then_simplify],['19','2'])).
% 2.24/0.83 cnf('21', plain, (~r1($sk11($sk1),X) | p5(X) | p4(X)),
% 2.24/0.83 inference(resolution,[],['20','8'])).
% 2.24/0.83 cnf('22', plain, (~p5($sk10(X,Y)) | ~r1($sk1,X) | ~r1(X,Y)),
% 2.24/0.83 inference(cnf_transformation,[],['main_$sk'])).
% 2.24/0.83 cnf('23', plain, (~p5($sk10($sk1,$sk11($sk1)))),
% 2.24/0.83 inference(resolution,[then_simplify],['8','22','2'])).
% 2.24/0.83 cnf('24', plain, (p4($sk10($sk1,$sk11($sk1)))),
% 2.24/0.83 inference(resolution,[then_simplify],['21','11','23'])).
% 2.24/0.83 cnf('25', plain, (~p3($sk10($sk1,$sk11($sk1)))),
% 2.24/0.83 inference(resolution,[then_simplify],['16','11','24'])).
% 2.24/0.83 cnf('26', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | ~r1(U,V) | ~r1(V,W) | ~r1(W,X2006) | ~r1(X2006,X2007) | p5(X2007) | p1(X2007)),
% 2.24/0.83 inference(cnf_transformation,[],['main_$sk'])).
% 2.24/0.83 cnf('27', plain, (~r1($sk1,X) | ~r1(Y,Z) | ~r1(U,Y) | ~r1(V,U) | ~r1(W,V) | ~r1(X,W) | p5(Z) | p1(Z)),
% 2.24/0.83 inference(factorization,[then_simplify],['26','2'])).
% 2.24/0.83 cnf('28', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | p5(U) | p1(U)),
% 2.24/0.83 inference(factorization,[then_simplify],['27','2'])).
% 2.24/0.83 cnf('29', plain, (~r1($sk1,X) | ~r1(X,Y) | p5(Y) | p1(Y)),
% 2.24/0.83 inference(factorization,[then_simplify],['28','2'])).
% 2.24/0.83 cnf('30', plain, (~r1($sk11($sk1),X) | p5(X) | p1(X)),
% 2.24/0.83 inference(resolution,[],['29','8'])).
% 2.24/0.83 cnf('31', plain, (p1($sk10($sk1,$sk11($sk1)))),
% 2.24/0.83 inference(resolution,[then_simplify],['30','11','23'])).
% 2.24/0.83 cnf('32', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | ~r1(U,V) | ~r1(V,W) | ~r1(W,X2006) | ~r1(X2006,X2007) | ~p2(X2007) | ~p1(X2007)),
% 2.24/0.83 inference(cnf_transformation,[],['main_$sk'])).
% 2.24/0.83 cnf('33', plain, (~r1($sk1,X) | ~r1(Y,Z) | ~r1(U,Y) | ~r1(V,U) | ~r1(W,V) | ~r1(X,W) | ~p2(Z) | ~p1(Z)),
% 2.24/0.83 inference(factorization,[then_simplify],['32','2'])).
% 2.24/0.83 cnf('34', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | ~p2(U) | ~p1(U)),
% 2.24/0.83 inference(factorization,[then_simplify],['33','2'])).
% 2.24/0.83 cnf('35', plain, (~r1($sk1,X) | ~r1(Y,Z) | ~r1(X,Y) | ~p2(Z) | ~p1(Z)),
% 2.24/0.83 inference(resolution,[],['34','6'])).
% 2.24/0.83 cnf('36', plain, (~r1($sk11($sk1),X) | ~r1(X,Y) | ~p2(Y) | ~p1(Y)),
% 2.24/0.83 inference(resolution,[],['35','8'])).
% 2.24/0.83 cnf('37', plain, (~r1($sk10($sk1,$sk11($sk1)),X) | ~p2(X) | ~p1(X)),
% 2.24/0.83 inference(resolution,[],['36','11'])).
% 2.24/0.83 cnf('38', plain, (~p2($sk10($sk1,$sk11($sk1)))),
% 2.24/0.83 inference(resolution,[then_simplify],['31','37','2'])).
% 2.24/0.83 cnf('39', plain, ($false),
% 2.24/0.83 inference(resolution,[then_simplify],['9','11','25','38'])).
% 2.24/0.83
% 2.24/0.83 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/0.83
% 2.24/0.83 run 18 fork 1 statistics:
% 2.24/0.83 ----------------------------------
% 2.24/0.83 this run seconds: 0.031001
% 2.24/0.83 total seconds: 0.329272
% 2.24/0.83 stat_given_used: 585
% 2.24/0.83 stat_given_used_at_endgame: 0
% 2.24/0.83 stat_given_candidates: 1123
% 2.24/0.83 stat_given_candidates_at_endgame: 0
% 2.24/0.83 stat_given_candidates_h: 0
% 2.24/0.83 stat_binres_derived_cl: 1906
% 2.24/0.83 stat_binres_derived_cl_h: 0
% 2.24/0.83 stat_factor_derived_cl: 826
% 2.24/0.83 stat_para_derived_cl: 0
% 2.24/0.83 stat_tautologies_discarded: 0
% 2.24/0.83 stat_forward_subsumed: 279
% 2.24/0.83 stat_derived_cut: 417
% 2.24/0.83 stat_derived_rewritten: 0
% 2.24/0.83 stat_weight_discarded_building: 0
% 2.24/0.83 stat_weight_discarded_cl: 0
% 2.24/0.83 stat_internlimit_discarded_cl: 0
% 2.24/0.83 stat_simplified: 0 simplified 0 derived 0 given
% 2.24/0.83 stat_kept_cl: 2452
% 2.24/0.83 stat_built_cl: 3622
% 2.24/0.83 stat_hyperres_partial_cl: 0
% 2.24/0.83 stat_made_rewriters: 0
% 2.24/0.83 stat_backward_subsumed: 0
% 2.24/0.83 stat_propagated_subsumed: 0
% 2.24/0.83 stat_clsubs_attempted: 1616
% 2.24/0.83 stat_clsubs_fact_groundunit_found: 13
% 2.24/0.83 stat_clsubs_rule_groundunit_found: 1
% 2.24/0.83 stat_clsubs_top_meta_attempted: 303133
% 2.24/0.83 stat_clsubs_top_meta_failed: 301517
% 2.24/0.83 stat_clsubs_top_meta_nonpref_attempted: 303133
% 2.24/0.83 stat_clsubs_top_meta_nonpref_succeeded: 58442
% 2.24/0.83 stat_clsubs_top_meta_pref_attempted: 58442
% 2.24/0.83 stat_clsubs_top_meta_pref1_succeeded: 7147
% 2.24/0.83 stat_clsubs_top_meta_pref2_succeeded: 1722
% 2.24/0.83 stat_clsubs_top_meta_pref3_succeeded: 1616
% 2.24/0.83 stat_clsubs_top_meta_pref_succeeded: 1616
% 2.24/0.83 stat_clsubs_meta_attempted: 35317
% 2.24/0.83 stat_clsubs_meta_failed: 7881
% 2.24/0.83 stat_clsubs_predsymbs_attempted: 0
% 2.24/0.83 stat_clsubs_unit_attempted: 27
% 2.24/0.83 stat_clsubs_full_attempted: 1589
% 2.24/0.83 stat_forwardsubs_attempted: 2732
% 2.24/0.83 stat_lit_hash_added: 730
% 2.24/0.83 stat_lit_hash_computed: 36429
% 2.24/0.83 stat_lit_hash_match_found: 406
% 2.24/0.83 stat_lit_hash_match_miss: 55276
% 2.24/0.83 stat_lit_hash_cut_ok: 109
% 2.24/0.83 stat_lit_strong_cut_ok: 334
% 2.24/0.83 stat_lit_hash_subsume_ok: 279
% 2.24/0.83 clqueue els 10000000 used 1
% 2.24/0.83 clactive els 10000000 used 586
% 2.24/0.83 clactivesubsume els 10000000 used 3289
% 2.24/0.83 queue_termbuf els 200000000 used 188125
% 2.24/0.83 hyper_termbuf els 100000000 used 1
% 2.24/0.83 active_termbuf els 100000000 used 25864
% 2.24/0.83 varstack els 5000 last used 1
% 2.24/0.83 given_termbuf els 10000000 last used 1
% 2.24/0.83 simplified_termbuf els 10000000 last used 1
% 2.24/0.83 derived_termbuf els 10000000 last used 56
% 2.24/0.83 wr_mallocs: 4211
% 2.24/0.83 wr_callocs: 21
% 2.24/0.83 wr_reallocs: 343
% 2.24/0.83 wr_frees: 2
% 2.24/0.83 wr_malloc_bytes: 4162720244
% 2.24/0.83 wr_calloc_bytes: 112065536
% 2.24/0.83 wr_realloc_bytes: 86016
% 2.24/0.83 wr_realloc_freebytes: 0
% 2.24/0.83 ----------------------------------
%------------------------------------------------------------------------------