%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n007.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 12:09:03 PM UTC 2026
% Result : Theorem 1.23s 0.78s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : gkc %s
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 17:22:54 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: 62
% 0.22/0.50 in_rule_clause_count: 61
% 0.22/0.50 in_fact_clause_count: 1
% 0.22/0.50 in_answer_clause_count: 0
% 0.22/0.50 in_ground_clause_count: 2
% 0.22/0.50 in_unit_clause_count: 3
% 0.22/0.50 in_horn_clause_count: 37
% 0.22/0.50 in_pos_clause_count: 2
% 0.22/0.50 in_neg_clause_count: 1
% 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: 10
% 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: 27
% 0.22/0.50 in_min_vars: 0
% 0.22/0.50 in_max_vars: 6
% 0.22/0.50 in_extaxiom_count: 0
% 0.22/0.50 in_axiom_count: 1
% 0.22/0.50 in_assumption_count: 0
% 0.22/0.50 in_goal_count: 61
% 0.22/0.50 in_neg_goal_count: 1
% 0.22/0.50 in_pos_goal_count: 1
% 0.22/0.50 in_posunit_goal_count: 1
% 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":["negative_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, "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":["unit"], "query_preference":0},
% 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 {"max_dseconds":1, "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":1},
% 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 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 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":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "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":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "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
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_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, "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":["unit"], "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, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.50 {"max_dseconds":10, "strategy":["hardness_pref"], "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":["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":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "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"], "max_depth":5, "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "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
% 0.22/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "sine":5, "strategy":["negative_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":["unit"], "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, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.50 {"max_dseconds":50, "strategy":["hardness_pref"], "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":["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":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["unit"], "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"], "max_depth":5, "query_preference":0},
% 0.22/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "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
% 0.22/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "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"], "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":250},
% 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":250},
% 0.22/0.50 {"max_dseconds":250, "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":250},
% 0.22/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.50 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.50
% 0.22/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "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"], "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":1250},
% 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":1250},
% 0.22/0.50 {"max_dseconds":1250, "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":1250},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0}
% 0.22/0.50
% 0.22/0.50 ]}
% 0.22/0.50
% 0.22/0.51
% 0.22/0.51 **** run 1 fork 0 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"strategy":["negative_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,"strategy":["negative_pref"],"weight_select_ratio":100,"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,"strategy":["hardness_pref"],"weight_select_ratio":100,"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"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.22/0.52
% 0.22/0.52 **** run 6 fork 5 starts with strategy
% 0.22/0.52 {"max_dseconds":1,"strategy":["unit"],"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"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.22/0.52
% 0.22/0.52 **** run 8 fork 7 starts with strategy
% 0.22/0.52 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.57/0.60
% 0.57/0.60 fork 0: search finished without proof.
% 0.57/0.61
% 0.57/0.61
% 0.57/0.61 fork 3: search terminated without proof.
% 0.57/0.63
% 0.57/0.63
% 0.57/0.63 fork 5: search terminated without proof.
% 0.57/0.63
% 0.57/0.63 fork 1: search finished without proof.
% 0.93/0.65
% 0.93/0.65 **** run 12 fork 3 starts with strategy
% 0.93/0.65 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.93/0.65
% 0.93/0.65
% 0.93/0.65 fork 7: search terminated without proof.
% 0.93/0.68
% 0.93/0.68 **** run 9 fork 0 starts with strategy
% 0.93/0.68 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 1.23/0.71
% 1.23/0.71 **** run 10 fork 1 starts with strategy
% 1.23/0.71 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 1.23/0.73
% 1.23/0.73 **** run 16 fork 7 starts with strategy
% 1.23/0.73 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 1.23/0.74
% 1.23/0.74 **** run 14 fork 5 starts with strategy
% 1.23/0.74 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 1.23/0.78
% 1.23/0.78
% 1.23/0.78 fork 0: search terminated without proof.
% 1.23/0.78
% 1.23/0.78
% 1.23/0.78 result: proof found
% 1.23/0.78 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.23/0.78 by run 10 fork 1 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 1.23/0.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.23/0.78
% 1.23/0.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.23/0.78 fof('main_$sk', plain, ((p100($sk1) & (~p101($sk1) & (((((((~p101(X5) | p100(X5)) & ((~p102(X5) | p101(X5)) & ((~p103(X5) | p102(X5)) & ((~p104(X5) | p103(X5)) & ((~p105(X5) | p104(X5)) & ((~p106(X5) | p105(X5)) & ((~p100(X5) | ((~p1(X5) | (~p100(X6) | (p1(X6) | ~r1(X5,X6)))) & (p1(X5) | (~p100(X7) | (~p1(X7) | ~r1(X5,X7)))))) & ((~p101(X5) | ((~p2(X5) | (~p101(X8) | (p2(X8) | ~r1(X5,X8)))) & (p2(X5) | (~p101(X9) | (~p2(X9) | ~r1(X5,X9)))))) & ((~p102(X5) | ((~p3(X5) | (~p102(X10) | (p3(X10) | ~r1(X5,X10)))) & (p3(X5) | (~p102(X11) | (~p3(X11) | ~r1(X5,X11)))))) & ((~p103(X5) | ((~p4(X5) | (~p103(X12) | (p4(X12) | ~r1(X5,X12)))) & (p4(X5) | (~p103(X13) | (~p4(X13) | ~r1(X5,X13)))))) & ((~p104(X5) | ((~p5(X5) | (~p104(X14) | (p5(X14) | ~r1(X5,X14)))) & (p5(X5) | (~p104(X15) | (~p5(X15) | ~r1(X5,X15)))))) & ((~p105(X5) | ((~p6(X5) | (~p105(X16) | (p6(X16) | ~r1(X5,X16)))) & (p6(X5) | (~p105(X17) | (~p6(X17) | ~r1(X5,X17)))))) & (((~p100(X5) | p101(X5)) | (((p101($sk2(X1,X2,X3,X4,X5)) & (~p102($sk2(X1,X2,X3,X4,X5)) & p2($sk2(X1,X2,X3,X4,X5)))) & r1(X5,$sk2(X1,X2,X3,X4,X5))) & ((p101($sk3(X1,X2,X3,X4,X5)) & (~p102($sk3(X1,X2,X3,X4,X5)) & ~p2($sk3(X1,X2,X3,X4,X5)))) & r1(X5,$sk3(X1,X2,X3,X4,X5))))) & (((~p101(X5) | p102(X5)) | (((p102($sk4(X1,X2,X3,X4,X5)) & (~p103($sk4(X1,X2,X3,X4,X5)) & p3($sk4(X1,X2,X3,X4,X5)))) & r1(X5,$sk4(X1,X2,X3,X4,X5))) & ((p102($sk5(X1,X2,X3,X4,X5)) & (~p103($sk5(X1,X2,X3,X4,X5)) & ~p3($sk5(X1,X2,X3,X4,X5)))) & r1(X5,$sk5(X1,X2,X3,X4,X5))))) & (((~p102(X5) | p103(X5)) | (((p103($sk6(X1,X2,X3,X4,X5)) & (~p104($sk6(X1,X2,X3,X4,X5)) & p4($sk6(X1,X2,X3,X4,X5)))) & r1(X5,$sk6(X1,X2,X3,X4,X5))) & ((p103($sk7(X1,X2,X3,X4,X5)) & (~p104($sk7(X1,X2,X3,X4,X5)) & ~p4($sk7(X1,X2,X3,X4,X5)))) & r1(X5,$sk7(X1,X2,X3,X4,X5))))) & (((~p103(X5) | p104(X5)) | (((p104($sk8(X1,X2,X3,X4,X5)) & (~p105($sk8(X1,X2,X3,X4,X5)) & p5($sk8(X1,X2,X3,X4,X5)))) & r1(X5,$sk8(X1,X2,X3,X4,X5))) & ((p104($sk9(X1,X2,X3,X4,X5)) & (~p105($sk9(X1,X2,X3,X4,X5)) & ~p5($sk9(X1,X2,X3,X4,X5)))) & r1(X5,$sk9(X1,X2,X3,X4,X5))))) & ((~p104(X5) | p105(X5)) | (((p105($sk10(X1,X2,X3,X4,X5)) & (~p106($sk10(X1,X2,X3,X4,X5)) & p6($sk10(X1,X2,X3,X4,X5)))) & r1(X5,$sk10(X1,X2,X3,X4,X5))) & ((p105($sk11(X1,X2,X3,X4,X5)) & (~p106($sk11(X1,X2,X3,X4,X5)) & ~p6($sk11(X1,X2,X3,X4,X5)))) & r1(X5,$sk11(X1,X2,X3,X4,X5))))))))))))))))))))) | ~r1(X4,X5)) | ~r1(X3,X4)) | ~r1(X2,X3)) | ~r1(X1,X2)) | ~r1($sk1,X1)))) & (((((p3(X22) | ~r1(X21,X22)) | ~r1(X20,X21)) | ~r1(X19,X20)) | ~r1(X18,X19)) | ~r1($sk1,X18))),
% 1.23/0.78 inference(negpush_and_skolemize,[],['main'])).
% 1.23/0.78 fof('main', conjecture, ~(? [X] : ~(~(! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | p3(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) | ~((~p6(X) & ~p106(X)) & p105(X)))) & ~(! [X] : (~r1(Y,X) | ~((p6(X) & ~p106(X)) & p105(X))))) | ~(~p105(Y) & p104(Y))) & ((~(! [X] : (~r1(Y,X) | ~((~p5(X) & ~p105(X)) & p104(X)))) & ~(! [X] : (~r1(Y,X) | ~((p5(X) & ~p105(X)) & p104(X))))) | ~(~p104(Y) & p103(Y)))) & ((~(! [X] : (~r1(Y,X) | ~((~p4(X) & ~p104(X)) & p103(X)))) & ~(! [X] : (~r1(Y,X) | ~((p4(X) & ~p104(X)) & p103(X))))) | ~(~p103(Y) & p102(Y)))) & ((~(! [X] : (~r1(Y,X) | ~((~p3(X) & ~p103(X)) & p102(X)))) & ~(! [X] : (~r1(Y,X) | ~((p3(X) & ~p103(X)) & p102(X))))) | ~(~p102(Y) & p101(Y)))) & ((~(! [X] : (~r1(Y,X) | ~((~p2(X) & ~p102(X)) & p101(X)))) & ~(! [X] : (~r1(Y,X) | ~((p2(X) & ~p102(X)) & p101(X))))) | ~(~p101(Y) & p100(Y)))) & ((((! [X] : ((~r1(Y,X) | ~p6(X)) | ~p105(X))) | p6(Y)) & ((! [X] : ((~r1(Y,X) | p6(X)) | ~p105(X))) | ~p6(Y))) | ~p105(Y))) & ((((! [X] : ((~r1(Y,X) | ~p5(X)) | ~p104(X))) | p5(Y)) & ((! [X] : ((~r1(Y,X) | p5(X)) | ~p104(X))) | ~p5(Y))) | ~p104(Y))) & ((((! [X] : ((~r1(Y,X) | ~p4(X)) | ~p103(X))) | p4(Y)) & ((! [X] : ((~r1(Y,X) | p4(X)) | ~p103(X))) | ~p4(Y))) | ~p103(Y))) & ((((! [X] : ((~r1(Y,X) | ~p3(X)) | ~p102(X))) | p3(Y)) & ((! [X] : ((~r1(Y,X) | p3(X)) | ~p102(X))) | ~p3(Y))) | ~p102(Y))) & ((((! [X] : ((~r1(Y,X) | ~p2(X)) | ~p101(X))) | p2(Y)) & ((! [X] : ((~r1(Y,X) | p2(X)) | ~p101(X))) | ~p2(Y))) | ~p101(Y))) & ((((! [X] : ((~r1(Y,X) | ~p1(X)) | ~p100(X))) | p1(Y)) & ((! [X] : ((~r1(Y,X) | p1(X)) | ~p100(X))) | ~p1(Y))) | ~p100(Y))) & (p105(Y) | ~p106(Y))) & (p104(Y) | ~p105(Y))) & (p103(Y) | ~p104(Y))) & (p102(Y) | ~p103(Y))) & (p101(Y) | ~p102(Y))) & (p100(Y) | ~p101(Y))))))))))))) & ~p101(X)) & p100(X)))),
% 1.23/0.78 input).
% 1.23/0.78 fof('reflexivity_$sk', plain, r1(X1,X1),
% 1.23/0.78 inference(negpush_and_skolemize,[],['reflexivity'])).
% 1.23/0.78 fof('reflexivity', axiom, (! [X] : r1(X,X)),
% 1.23/0.78 input).
% 1.23/0.78 cnf('1', plain, (r1(X,$sk3(Y,Z,U,V,X)) | ~r1($sk1,Y) | ~r1(V,X) | ~r1(U,V) | ~r1(Z,U) | ~r1(Y,Z) | ~p100(X) | p101(X)),
% 1.23/0.78 inference(cnf_transformation,[],['main_$sk'])).
% 1.23/0.78 cnf('2', plain, (r1(X0,X0)),
% 1.23/0.78 inference(cnf_transformation,[],['reflexivity_$sk'])).
% 1.23/0.78 cnf('3', plain, (r1(X,$sk3(Y,Z,X,X,X)) | ~r1($sk1,Y) | ~r1(Z,X) | ~r1(Y,Z) | ~p100(X) | p101(X)),
% 1.23/0.78 inference(factorization,[then_simplify],['1','2'])).
% 1.23/0.78 cnf('4', plain, (r1(X,$sk3(X,X,X,X,X)) | ~r1($sk1,X) | ~p100(X) | p101(X)),
% 1.23/0.78 inference(factorization,[then_simplify],['3','2'])).
% 1.23/0.78 cnf('5', plain, (~r1($sk1,X) | ~r1(X,Y) | ~r1(Y,Z) | ~r1(Z,U) | ~r1(U,V) | p3(V)),
% 1.23/0.78 inference(cnf_transformation,[],['main_$sk'])).
% 1.23/0.78 cnf('6', plain, (~r1($sk1,X) | ~r1(Y,Z) | ~r1(X,Y) | p3(Z)),
% 1.23/0.78 inference(factorization,[then_simplify],['5','2'])).
% 1.23/0.78 cnf('7', plain, (r1(X,X)),
% 1.23/0.78 inference(cnf_transformation,[],['reflexivity_$sk'])).
% 1.23/0.78 cnf('8', plain, (~r1($sk1,X) | ~r1(X,Y) | p3(Y)),
% 1.23/0.78 inference(resolution,[],['6','7'])).
% 1.23/0.78 cnf('9', plain, (p100($sk1)),
% 1.23/0.78 inference(cnf_transformation,[],['main_$sk'])).
% 1.23/0.78 cnf('10', plain, (~p101($sk1)),
% 1.23/0.78 inference(cnf_transformation,[],['main_$sk'])).
% 1.23/0.78 cnf('11', plain, (~r1($sk3($sk1,$sk1,$sk1,$sk1,$sk1),X) | p3(X)),
% 1.23/0.78 inference(resolution,[then_simplify],['4','8','9','10','2'])).
% 1.23/0.78 cnf('12', plain, (r1(X,$sk5(Y,Z,U,V,X)) | ~r1($sk1,Y) | ~r1(V,X) | ~r1(U,V) | ~r1(Z,U) | ~r1(Y,Z) | ~p101(X) | p102(X)),
% 1.23/0.78 inference(cnf_transformation,[],['main_$sk'])).
% 1.23/0.78 cnf('13', plain, (r1(X,$sk5(Y,Z,Z,Z,X)) | ~r1($sk1,Y) | ~r1(Z,X) | ~r1(Y,Z) | ~p101(X) | p102(X)),
% 1.23/0.78 inference(factorization,[then_simplify],['12','2'])).
% 1.23/0.78 cnf('14', plain, (r1(X,$sk5($sk1,$sk1,$sk1,$sk1,X)) | ~r1($sk1,X) | ~p101(X) | p102(X)),
% 1.23/0.78 inference(factorization,[then_simplify],['13','2'])).
% 1.23/0.78 cnf('15', plain, (p101($sk3(X,Y,Z,U,V)) | ~r1($sk1,X) | ~r1(U,V) | ~r1(Z,U) | ~r1(Y,Z) | ~r1(X,Y) | ~p100(V) | p101(V)),
% 1.23/0.78 inference(cnf_transformation,[],['main_$sk'])).
% 1.23/0.78 cnf('16', plain, (p101($sk3(X,Y,Z,Z,Z)) | ~r1($sk1,X) | ~r1(Y,Z) | ~r1(X,Y) | ~p100(Z) | p101(Z)),
% 1.23/0.78 inference(factorization,[then_simplify],['15','2'])).
% 1.23/0.78 cnf('17', plain, (p101($sk3(X,$sk1,X,X,X)) | ~r1($sk1,X) | ~r1(X,$sk1) | ~p100(X) | p101(X)),
% 1.23/0.78 inference(factorization,[],['16'])).
% 1.23/0.78 cnf('18', plain, (p101($sk3($sk1,$sk1,$sk1,$sk1,$sk1))),
% 1.23/0.78 inference(factorization,[then_simplify],['17','9','10','2'])).
% 1.23/0.78 cnf('19', plain, (~p102($sk3(X,Y,Z,U,V)) | ~r1($sk1,X) | ~r1(U,V) | ~r1(Z,U) | ~r1(Y,Z) | ~r1(X,Y) | ~p100(V) | p101(V)),
% 1.23/0.78 inference(cnf_transformation,[],['main_$sk'])).
% 1.23/0.78 cnf('20', plain, (~p102($sk3(X,Y,Z,Z,Z)) | ~r1($sk1,X) | ~r1(Y,Z) | ~r1(X,Y) | ~p100(Z) | p101(Z)),
% 1.23/0.78 inference(factorization,[then_simplify],['19','2'])).
% 1.23/0.78 cnf('21', plain, (~p102($sk3(X,$sk1,X,X,X)) | ~r1($sk1,X) | ~r1(X,$sk1) | ~p100(X) | p101(X)),
% 1.23/0.78 inference(factorization,[],['20'])).
% 1.23/0.78 cnf('22', plain, (~p102($sk3($sk1,$sk1,$sk1,$sk1,$sk1))),
% 1.23/0.78 inference(factorization,[then_simplify],['21','9','10','2'])).
% 1.23/0.78 cnf('23', plain, (~r1($sk1,$sk3($sk1,$sk1,$sk1,$sk1,$sk1)) | p3($sk5($sk1,$sk1,$sk1,$sk1,$sk3($sk1,$sk1,$sk1,$sk1,$sk1)))),
% 1.23/0.78 inference(resolution,[then_simplify],['11','14','18','22'])).
% 1.23/0.78 cnf('24', plain, (~p3($sk5(X,Y,Z,U,V)) | ~r1($sk1,X) | ~r1(U,V) | ~r1(Z,U) | ~r1(Y,Z) | ~r1(X,Y) | ~p101(V) | p102(V)),
% 1.23/0.78 inference(cnf_transformation,[],['main_$sk'])).
% 1.23/0.78 cnf('25', plain, (~p3($sk5(X,X,X,Y,Z)) | ~r1($sk1,X) | ~r1(Y,Z) | ~r1(X,Y) | ~p101(Z) | p102(Z)),
% 1.23/0.78 inference(factorization,[then_simplify],['24','2'])).
% 1.23/0.78 cnf('26', plain, (~r1($sk1,$sk3($sk1,$sk1,$sk1,$sk1,$sk1))),
% 1.23/0.78 inference(resolution,[then_simplify],['23','25','18','22','2'])).
% 1.23/0.78 cnf('27', plain, ($false),
% 1.23/0.78 inference(resolution,[then_simplify],['26','4','9','10','2'])).
% 1.23/0.78
% 1.23/0.78 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.23/0.78
% 1.23/0.78 run 10 fork 1 statistics:
% 1.23/0.78 ----------------------------------
% 1.23/0.78 this run seconds: 0.070001
% 1.23/0.78 total seconds: 0.274313
% 1.23/0.78 stat_given_used: 530
% 1.23/0.78 stat_given_used_at_endgame: 0
% 1.23/0.78 stat_given_candidates: 1004
% 1.23/0.78 stat_given_candidates_at_endgame: 0
% 1.23/0.78 stat_given_candidates_h: 0
% 1.23/0.78 stat_binres_derived_cl: 3749
% 1.23/0.78 stat_binres_derived_cl_h: 0
% 1.23/0.78 stat_factor_derived_cl: 1283
% 1.23/0.78 stat_para_derived_cl: 0
% 1.23/0.78 stat_tautologies_discarded: 22
% 1.23/0.78 stat_forward_subsumed: 2410
% 1.23/0.78 stat_derived_cut: 1162
% 1.23/0.78 stat_derived_rewritten: 0
% 1.23/0.78 stat_weight_discarded_building: 0
% 1.23/0.78 stat_weight_discarded_cl: 289
% 1.23/0.78 stat_internlimit_discarded_cl: 0
% 1.23/0.78 stat_simplified: 1 simplified 0 derived 0 given
% 1.23/0.78 stat_kept_cl: 2310
% 1.23/0.78 stat_built_cl: 3660
% 1.23/0.78 stat_hyperres_partial_cl: 0
% 1.23/0.78 stat_made_rewriters: 0
% 1.23/0.78 stat_backward_subsumed: 0
% 1.23/0.78 stat_propagated_subsumed: 0
% 1.23/0.78 stat_clsubs_attempted: 3891
% 1.23/0.78 stat_clsubs_fact_groundunit_found: 1
% 1.23/0.78 stat_clsubs_rule_groundunit_found: 2
% 1.23/0.78 stat_clsubs_top_meta_attempted: 239092
% 1.23/0.78 stat_clsubs_top_meta_failed: 235201
% 1.23/0.78 stat_clsubs_top_meta_nonpref_attempted: 239092
% 1.23/0.78 stat_clsubs_top_meta_nonpref_succeeded: 58069
% 1.23/0.78 stat_clsubs_top_meta_pref_attempted: 58069
% 1.23/0.78 stat_clsubs_top_meta_pref1_succeeded: 6823
% 1.23/0.78 stat_clsubs_top_meta_pref2_succeeded: 3950
% 1.23/0.78 stat_clsubs_top_meta_pref3_succeeded: 3891
% 1.23/0.78 stat_clsubs_top_meta_pref_succeeded: 3891
% 1.23/0.78 stat_clsubs_meta_attempted: 14984
% 1.23/0.78 stat_clsubs_meta_failed: 6607
% 1.23/0.78 stat_clsubs_predsymbs_attempted: 0
% 1.23/0.78 stat_clsubs_unit_attempted: 78
% 1.23/0.78 stat_clsubs_full_attempted: 3813
% 1.23/0.78 stat_forwardsubs_attempted: 5010
% 1.23/0.78 stat_lit_hash_added: 75
% 1.23/0.78 stat_lit_hash_computed: 50507
% 1.23/0.78 stat_lit_hash_match_found: 3076
% 1.23/0.78 stat_lit_hash_match_miss: 75851
% 1.23/0.78 stat_lit_hash_cut_ok: 663
% 1.23/0.78 stat_lit_strong_cut_ok: 892
% 1.23/0.78 stat_lit_hash_subsume_ok: 2410
% 1.23/0.78 clqueue els 10000000 used 1
% 1.23/0.78 clactive els 10000000 used 531
% 1.23/0.78 clactivesubsume els 10000000 used 3079
% 1.23/0.78 queue_termbuf els 200000000 used 219001
% 1.23/0.78 hyper_termbuf els 100000000 used 1
% 1.23/0.78 active_termbuf els 100000000 used 29917
% 1.23/0.78 varstack els 5000 last used 1
% 1.23/0.78 given_termbuf els 10000000 last used 1
% 1.23/0.78 simplified_termbuf els 10000000 last used 1
% 1.23/0.78 derived_termbuf els 10000000 last used 40
% 1.23/0.78 wr_mallocs: 1672
% 1.23/0.78 wr_callocs: 21
% 1.23/0.78 wr_reallocs: 158
% 1.23/0.78 wr_frees: 2
% 1.23/0.78 wr_malloc_bytes: 4162636260
% 1.23/0.78 wr_calloc_bytes: 112065536
% 1.23/0.78 wr_realloc_bytes: 58608
% 1.23/0.78 wr_realloc_freebytes: 0
% 1.23/0.78 ----------------------------------
%------------------------------------------------------------------------------