TSTP Solution File: LCL670+1.001 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL670+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 07:40:28 EDT 2023
% Result : Theorem 13.62s 2.31s
% Output : CNFRefutation 13.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL670+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : gkc %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 03:39:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.46
% 0.22/0.46 input clause set summed statistics:
% 0.22/0.46 ----------------------------------
% 0.22/0.46 in_clause_count: 79
% 0.22/0.46 in_rule_clause_count: 75
% 0.22/0.46 in_fact_clause_count: 4
% 0.22/0.46 in_answer_clause_count: 0
% 0.22/0.46 in_ground_clause_count: 5
% 0.22/0.46 in_unit_clause_count: 6
% 0.22/0.46 in_horn_clause_count: 57
% 0.22/0.46 in_pos_clause_count: 10
% 0.22/0.46 in_neg_clause_count: 17
% 0.22/0.46 in_poseq_clause_count: 0
% 0.22/0.46 in_negeq_clause_count: 0
% 0.22/0.46 in_unitposeq_clause_count: 0
% 0.22/0.46 in_chain_clause_count: 0
% 0.22/0.46 in_min_length: 1
% 0.22/0.46 in_max_length: 5
% 0.22/0.46 in_min_depth: 1
% 0.22/0.46 in_max_depth: 2
% 0.22/0.46 in_min_size: 2
% 0.22/0.46 in_max_size: 19
% 0.22/0.46 in_min_vars: 0
% 0.22/0.46 in_max_vars: 5
% 0.22/0.46 in_extaxiom_count: 0
% 0.22/0.46 in_axiom_count: 1
% 0.22/0.46 in_assumption_count: 0
% 0.22/0.46 in_goal_count: 78
% 0.22/0.46 in_neg_goal_count: 17
% 0.22/0.46 in_pos_goal_count: 9
% 0.22/0.46 in_posunit_goal_count: 4
% 0.22/0.46
% 0.22/0.46 auto guide:
% 0.22/0.46 -----------
% 0.22/0.46 {
% 0.22/0.46 "print":1,
% 0.22/0.46 "print_level": 15,
% 0.22/0.46 "max_size": 0,
% 0.22/0.46 "max_depth": 0,
% 0.22/0.46 "max_length": 0,
% 0.22/0.46 "max_dseconds": 0,
% 0.22/0.46 "equality":0,
% 0.22/0.46 "runs":[
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% 0.22/0.46 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.22/0.46 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.22/0.46 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.46 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.22/0.46 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.46 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.46 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0}
% 0.22/0.46
% 0.22/0.46 ]}
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 **** run 1 fork 0 starts with strategy
% 0.22/0.46 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.46
% 0.22/0.46 **** run 2 fork 1 starts with strategy
% 0.22/0.46 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
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% 0.22/0.46 **** run 3 fork 2 starts with strategy
% 0.22/0.46 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
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% 0.22/0.47 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
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% 0.22/0.47 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
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% 0.22/0.47 {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
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% 0.22/0.47 **** run 7 fork 6 starts with strategy
% 0.22/0.47 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
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% 0.22/0.47 **** run 8 fork 7 starts with strategy
% 0.22/0.47 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
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% 0.22/0.58 **** run 11 fork 2 starts with strategy
% 0.22/0.58 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
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% 0.22/0.58 **** run 12 fork 3 starts with strategy
% 0.22/0.58 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
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% 0.22/0.58 **** run 9 fork 0 starts with strategy
% 0.22/0.58 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
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% 0.22/0.58 **** run 13 fork 4 starts with strategy
% 0.22/0.58 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
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% 0.22/0.59 fork 1: search terminated without proof.
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% 0.22/0.59 **** run 16 fork 7 starts with strategy
% 0.22/0.59 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.22/0.59
% 0.22/0.59 **** run 14 fork 5 starts with strategy
% 0.22/0.59 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
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% 0.22/0.59 **** run 15 fork 6 starts with strategy
% 0.22/0.59 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
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% 0.22/0.60 **** run 10 fork 1 starts with strategy
% 0.22/0.60 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
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% 0.22/0.69 **** run 20 fork 3 starts with strategy
% 0.22/0.69 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
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% 0.22/0.70 **** run 21 fork 4 starts with strategy
% 0.22/0.70 {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
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% 0.22/0.71 **** run 23 fork 6 starts with strategy
% 0.22/0.71 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
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% 0.22/0.71 **** run 17 fork 0 starts with strategy
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% 0.22/0.72 **** run 24 fork 7 starts with strategy
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% 1.97/0.75 **** run 18 fork 1 starts with strategy
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% 1.97/0.78 **** run 26 fork 1 starts with strategy
% 1.97/0.78 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 2.87/0.82
% 2.87/0.82
% 2.87/0.82 fork 7: search terminated without proof.
% 2.87/0.83
% 2.87/0.83
% 2.87/0.83 fork 5: search terminated without proof.
% 2.87/0.83
% 2.87/0.83 fork 4: search finished without proof.
% 2.87/0.83
% 2.87/0.83 **** run 32 fork 7 starts with strategy
% 2.87/0.83 {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 2.87/0.84
% 2.87/0.84
% 2.87/0.84 fork 3: search terminated without proof.
% 2.87/0.84
% 2.87/0.84 **** run 30 fork 5 starts with strategy
% 2.87/0.84 {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 2.87/0.85
% 2.87/0.85 **** run 29 fork 4 starts with strategy
% 2.87/0.85 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 2.87/0.85
% 2.87/0.85
% 2.87/0.85 fork 6: search terminated without proof.
% 2.87/0.86
% 2.87/0.86 **** run 28 fork 3 starts with strategy
% 2.87/0.86 {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 2.87/0.86
% 2.87/0.86 fork 0: search finished without proof.
% 2.87/0.86
% 2.87/0.86 **** run 31 fork 6 starts with strategy
% 2.87/0.86 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 2.87/0.87
% 2.87/0.87
% 2.87/0.87 fork 2: search terminated without proof.
% 2.87/0.87
% 2.87/0.87 **** run 25 fork 0 starts with strategy
% 2.87/0.87 {"max_dseconds":1,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 2.87/0.88
% 2.87/0.88
% 2.87/0.88 fork 1: search terminated without proof.
% 2.87/0.88
% 2.87/0.88 **** run 27 fork 2 starts with strategy
% 2.87/0.88 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 2.87/0.89
% 2.87/0.89 fork 0: search finished without proof.
% 2.87/0.89
% 2.87/0.89 **** run 34 fork 1 starts with strategy
% 2.87/0.89 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 3.59/0.91
% 3.59/0.91 **** run 33 fork 0 starts with strategy
% 3.59/0.91 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 10.63/1.87
% 10.63/1.87
% 10.63/1.87 fork 7: search terminated without proof.
% 10.63/1.88
% 10.63/1.88
% 10.63/1.88 fork 6: search terminated without proof.
% 10.63/1.88
% 10.63/1.88
% 10.63/1.88 fork 3: search terminated without proof.
% 10.63/1.89
% 10.63/1.89
% 10.63/1.89 fork 4: search terminated without proof.
% 10.63/1.90
% 10.63/1.90 **** run 40 fork 7 starts with strategy
% 10.63/1.90 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 10.63/1.90
% 10.63/1.90 **** run 39 fork 6 starts with strategy
% 10.63/1.90 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0}
% 11.30/1.91
% 11.30/1.91 **** run 36 fork 3 starts with strategy
% 11.30/1.91 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 11.30/1.91
% 11.30/1.91 **** run 37 fork 4 starts with strategy
% 11.30/1.91 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 11.30/1.92
% 11.30/1.92 fork 5: search finished without proof.
% 11.30/1.93
% 11.30/1.93 fork 0: search finished without proof.
% 11.30/1.94
% 11.30/1.94
% 11.30/1.94 fork 1: search terminated without proof.
% 11.30/1.95
% 11.30/1.95 **** run 38 fork 5 starts with strategy
% 11.30/1.95 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":10}
% 11.30/1.95
% 11.30/1.95 **** run 41 fork 0 starts with strategy
% 11.30/1.95 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 11.30/1.96
% 11.30/1.96 **** run 42 fork 1 starts with strategy
% 11.30/1.96 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":20}
% 11.95/1.98
% 11.95/1.98
% 11.95/1.98 fork 2: search terminated without proof.
% 11.95/2.01
% 11.95/2.01 **** run 35 fork 2 starts with strategy
% 11.95/2.01 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 13.62/2.31
% 13.62/2.31
% 13.62/2.31 result: proof found
% 13.62/2.31 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.62/2.31 by run 38 fork 5 strategy {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":10}
% 13.62/2.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.62/2.31
% 13.62/2.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.62/2.31 fof('main_$sk', plain, (((p1($sk2(X1)) & r1(X1,$sk2(X1))) | (((~p1(X3) | ~r1(X2,X3)) | ~r1(X1,X2)) | ~r1($sk1,X1))) & ((((~p2($sk4(X4)) & r1(X4,$sk4(X4))) | ~r1($sk3,X4)) & r1($sk1,$sk3)) & (((~p1($sk6) & r1($sk5,$sk6)) & (((p1(X5) | ~r1($sk7,X5)) & r1($sk5,$sk7)) & r1($sk1,$sk5))) & ((((~p1($sk8(X6)) & r1(X6,$sk8(X6))) | ((p1(X8) | ~r1(X7,X8)) | ~r1(X6,X7))) | ~r1($sk1,X6)) & ((((((~p2(X10) | ~r1($sk9(X9),X10)) & r1(X9,$sk9(X9))) | (((p2($sk10(X9,X11,X12)) & ((~p3($sk11(X9,X11,X12)) & r1($sk10(X9,X11,X12),$sk11(X9,X11,X12))) & r1(X12,$sk10(X9,X11,X12)))) | ~r1(X11,X12)) | ~r1(X9,X11))) & ((((((~p2(X15) | ~r1($sk12(X9,X13,X14),X15)) & r1(X14,$sk12(X9,X13,X14))) | ~r1(X13,X14)) | (~p2(X13) | ((p2(X16) & (~p3($sk13(X9,X13,X16)) & r1(X16,$sk13(X9,X13,X16)))) | ~r1(X13,X16)))) | ~r1(X9,X13)) & ((p2($sk14(X9,X17)) & ((~p3($sk15(X9,X17)) & r1($sk14(X9,X17),$sk15(X9,X17))) & r1(X17,$sk14(X9,X17)))) | ~r1(X9,X17)))) | ~r1($sk1,X9)) & (~p4(X18) | ~r1($sk1,X18))))))),
% 13.62/2.31 inference(negpush_and_skolemize,[],['main'])).
% 13.62/2.31 fof('main', conjecture, ~(? [X] : ~(((((~(! [Y] : (~r1(X,Y) | ~p4(Y))) | ~(! [Y] : (~r1(X,Y) | ~((~(! [X] : (~r1(Y,X) | ~(! [Y] : ((~r1(X,Y) | (! [X] : (~r1(Y,X) | p3(X)))) | ~p2(Y))))) | ~(! [X] : (~r1(Y,X) | ~((~(! [Y] : (~r1(X,Y) | ~((! [X] : (~r1(Y,X) | p3(X))) | ~p2(Y)))) & p2(X)) & ~(! [Y] : (~r1(X,Y) | ~(! [X] : (~r1(Y,X) | ~(! [Y] : (~r1(X,Y) | ~p2(Y))))))))))) | (~(! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | ~(! [X] : ((~r1(Y,X) | (! [Y] : (~r1(X,Y) | p3(Y)))) | ~p2(X))))))) & (! [X] : (~r1(Y,X) | ~(! [Y] : (~r1(X,Y) | ~p2(Y)))))))))) | ~(! [Y] : (~r1(X,Y) | ~(~(! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | p1(Y))))) & (! [X] : (~r1(Y,X) | p1(X))))))) | (! [Y] : ((~r1(X,Y) | (! [X] : (~r1(Y,X) | ~(! [Y] : (~r1(X,Y) | p1(Y)))))) | (! [X] : (~r1(Y,X) | p1(X)))))) | (! [Y] : (~r1(X,Y) | ~(! [X] : (~r1(Y,X) | ~(! [Y] : (~r1(X,Y) | p2(Y)))))))) | ~(! [Y] : ((~r1(X,Y) | (! [X] : (~r1(Y,X) | (! [Y] : (~r1(X,Y) | ~p1(Y)))))) | ~(! [X] : (~r1(Y,X) | ~p1(X))))))),
% 13.62/2.31 input).
% 13.62/2.31 fof('reflexivity_$sk', plain, r1(X1,X1),
% 13.62/2.31 inference(negpush_and_skolemize,[],['reflexivity'])).
% 13.62/2.31 fof('reflexivity', axiom, (! [X] : r1(X,X)),
% 13.62/2.31 input).
% 13.62/2.31 cnf('1', plain, (~r1($sk12(X,Y,Z),U) | ~$df9(Z,Y,X,U) | ~r1(Y,Z) | ~p2(U)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('2', plain, (r1(X,$sk10(Y,Z,X)) | ~$df6(Y,Z,X)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('3', plain, (~$df9(X,Y,Z,$sk10(U,V,$sk12(Z,Y,X))) | ~p2($sk10(U,V,$sk12(Z,Y,X))) | ~$df6(U,V,$sk12(Z,Y,X)) | ~r1(Y,X)),
% 13.62/2.31 inference(resolution,[],['1','2'])).
% 13.62/2.31 cnf('4', plain, ($df9(X,Y,Z,U) | $df12(V,Y,Z) | ~r1($sk1,Z) | ~r1(Z,Y)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('5', plain, (r1($sk1,$sk3)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('6', plain, ($df9(X,Y,$sk3,Z) | $df12(U,Y,$sk3) | ~r1($sk3,Y)),
% 13.62/2.31 inference(resolution,[],['4','5'])).
% 13.62/2.31 cnf('7', plain, (~p2($sk10(X,Y,$sk12($sk3,Z,U))) | ~$df6(X,Y,$sk12($sk3,Z,U)) | $df12(V,Z,$sk3) | ~r1($sk3,Z) | ~r1(Z,U)),
% 13.62/2.31 inference(resolution,[],['3','6'])).
% 13.62/2.31 cnf('8', plain, (p2($sk10(X,Y,Z)) | ~$df2(Z,Y,X) | ~r1(Y,Z) | ~r1(X,Y)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('9', plain, (~$df2($sk12($sk3,X,Y),Z,U) | ~$df6(U,Z,$sk12($sk3,X,Y)) | ~r1(Z,$sk12($sk3,X,Y)) | $df12(V,X,$sk3) | ~r1($sk3,X) | ~r1(X,Y) | ~r1(U,Z)),
% 13.62/2.31 inference(resolution,[],['7','8'])).
% 13.62/2.31 cnf('10', plain, (~$df2($sk12($sk3,X,Y),X,$sk3) | ~$df6($sk3,X,$sk12($sk3,X,Y)) | ~r1(X,$sk12($sk3,X,Y)) | $df12(Z,X,$sk3) | ~r1($sk3,X) | ~r1(X,Y)),
% 13.62/2.31 inference(factorization,[],['9'])).
% 13.62/2.31 cnf('11', plain, (~r1($sk9(X),Y) | ~$df1(X,Y) | ~p2(Y)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('12', plain, (r1(X,$sk14(Y,X)) | ~r1($sk1,Y) | ~r1(Y,X)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('13', plain, (~$df1(X,$sk14(Y,$sk9(X))) | ~p2($sk14(Y,$sk9(X))) | ~r1(Y,$sk9(X)) | ~r1($sk1,Y)),
% 13.62/2.31 inference(resolution,[],['11','12'])).
% 13.62/2.31 cnf('14', plain, ($df2(X,Y,Z) | ~r1($sk1,Z) | $df1(Z,U)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('15', plain, ($df2(X,Y,$sk3) | $df1($sk3,Z)),
% 13.62/2.31 inference(resolution,[],['14','5'])).
% 13.62/2.31 cnf('16', plain, (~p2($sk14(X,$sk9($sk3))) | ~r1(X,$sk9($sk3)) | $df2(Y,Z,$sk3) | ~r1($sk1,X)),
% 13.62/2.31 inference(resolution,[],['13','15'])).
% 13.62/2.31 cnf('17', plain, (p2($sk14(X,Y)) | ~r1($sk1,X) | ~r1(X,Y)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('18', plain, (~r1(X,$sk9($sk3)) | $df2(Y,Z,$sk3) | ~r1($sk1,X)),
% 13.62/2.31 inference(resolution,[],['16','17'])).
% 13.62/2.31 cnf('19', plain, (r1(X,$sk9(X)) | ~$df1(X,Y)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('20', plain, (r1($sk1,$sk3)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('21', plain, ($df2(X3,Y3,$sk3) | ~$df1($sk3,Z3)),
% 13.62/2.31 inference(resolution,[then_simplify],['18','19','20'])).
% 13.62/2.31 cnf('22', plain, ($df2(X3,Y3,$sk3) | $df1($sk3,Z3)),
% 13.62/2.31 inference(resolution,[],['14','5'])).
% 13.62/2.31 cnf('23', plain, ($df2(X,Y,$sk3)),
% 13.62/2.31 inference(simplify,[],['21','22'])).
% 13.62/2.31 cnf('24', plain, (~$df6($sk3,X,$sk12($sk3,X,Y)) | ~r1(X,$sk12($sk3,X,Y)) | $df12(Z,X,$sk3) | ~r1($sk3,X) | ~r1(X,Y)),
% 13.62/2.31 inference(resolution,[],['10','23'])).
% 13.62/2.31 cnf('25', plain, (r1(X,$sk10(Y,Z,X)) | ~$df2(X,Z,Y) | ~r1(Z,X) | ~r1(Y,Z)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('26', plain, (~r1(X,$sk10(Y,Z,X)) | $df6(Y,Z,X) | $df4(X,Z,Y) | $df3(X,Z,Y)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('27', plain, (~$df2(X,Y,Z) | $df6(Z,Y,X) | $df4(X,Y,Z) | $df3(X,Y,Z) | ~r1(Z,Y) | ~r1(Y,X)),
% 13.62/2.31 inference(resolution,[],['25','26'])).
% 13.62/2.31 cnf('28', plain, ($df6($sk3,X,Y) | $df4(Y,X,$sk3) | $df3(Y,X,$sk3) | ~r1($sk3,X) | ~r1(X,Y)),
% 13.62/2.31 inference(resolution,[],['27','23'])).
% 13.62/2.31 cnf('29', plain, ($df4($sk12($sk3,X,Y),X,$sk3) | $df3($sk12($sk3,X,Y),X,$sk3) | ~r1(X,$sk12($sk3,X,Y)) | $df12(Z,X,$sk3) | ~r1($sk3,X) | ~r1(X,Y)),
% 13.62/2.31 inference(resolution,[],['24','28'])).
% 13.62/2.31 cnf('30', plain, (~p3($sk11(X,Y,Z)) | ~$df2(Z,Y,X) | ~r1(Y,Z) | ~r1(X,Y)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('31', plain, (p3($sk11(X,Y,Z)) | ~$df4(Z,Y,X)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('32', plain, (~$df4(X,Y,Z) | ~$df2(X,Y,Z) | ~r1(Z,Y) | ~r1(Y,X)),
% 13.62/2.31 inference(resolution,[],['30','31'])).
% 13.62/2.31 cnf('33', plain, (~$df4(X,Y,$sk3) | ~r1($sk3,Y) | ~r1(Y,X)),
% 13.62/2.31 inference(resolution,[],['23','32'])).
% 13.62/2.31 cnf('34', plain, ($df3($sk12($sk3,X,Y),X,$sk3) | ~r1(X,$sk12($sk3,X,Y)) | $df12(Z,X,$sk3) | ~r1($sk3,X) | ~r1(X,Y)),
% 13.62/2.31 inference(resolution,[],['29','33'])).
% 13.62/2.31 cnf('35', plain, (r1($sk10(X,Y,Z),$sk11(X,Y,Z)) | ~$df2(Z,Y,X) | ~r1(Y,Z) | ~r1(X,Y)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('36', plain, (~r1($sk10(X,Y,Z),$sk11(X,Y,Z)) | ~$df3(Z,Y,X)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('37', plain, (~$df3(X,Y,Z) | ~$df2(X,Y,Z) | ~r1(Z,Y) | ~r1(Y,X)),
% 13.62/2.31 inference(resolution,[],['35','36'])).
% 13.62/2.31 cnf('38', plain, (~$df3(X,Y,$sk3) | ~r1($sk3,Y) | ~r1(Y,X)),
% 13.62/2.31 inference(resolution,[],['23','37'])).
% 13.62/2.31 cnf('39', plain, (~r1(X,$sk12($sk3,X,Y)) | $df12(Z,X,$sk3) | ~r1($sk3,X) | ~r1(X,Y)),
% 13.62/2.31 inference(resolution,[],['34','38'])).
% 13.62/2.31 cnf('40', plain, (r1(X,$sk12(Y,Z,X)) | $df10(Y,X,Z) | ~r1(Z,X)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('41', plain, (r1(X0,X0)),
% 13.62/2.31 inference(cnf_transformation,[],['reflexivity_$sk'])).
% 13.62/2.31 cnf('42', plain, ($df10($sk3,X,X) | $df12(Y,X,$sk3) | ~r1($sk3,X)),
% 13.62/2.31 inference(resolution,[then_simplify],['39','40','41'])).
% 13.62/2.31 cnf('43', plain, (r1(X,$sk12(Y,Z,X)) | ~$df9(X,Z,Y,U) | ~r1(Z,X)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('44', plain, (~r1(X,$sk12(Y,Z,X)) | ~$df10(Y,X,Z)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('45', plain, (~$df9(X,Y,Z,U) | ~$df10(Z,X,Y) | ~r1(Y,X)),
% 13.62/2.31 inference(resolution,[],['43','44'])).
% 13.62/2.31 cnf('46', plain, (~$df10($sk3,X,Y) | $df12(Z,Y,$sk3) | ~r1($sk3,Y) | ~r1(Y,X)),
% 13.62/2.31 inference(resolution,[],['6','45'])).
% 13.62/2.31 cnf('47', plain, ($df12(X,Y,$sk3) | $df12(Z,Y,$sk3) | ~r1($sk3,Y)),
% 13.62/2.31 inference(resolution,[then_simplify],['42','46','41'])).
% 13.62/2.31 cnf('48', plain, ($df12(X,Y,$sk3) | ~r1($sk3,Y)),
% 13.62/2.31 inference(factorization,[],['47'])).
% 13.62/2.31 cnf('49', plain, (~$df12(X,Y,Z) | ~r1(Y,X) | ~p2(Y) | p2(X)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('50', plain, (~r1($sk3,X) | ~r1(X,Y) | ~p2(X) | p2(Y)),
% 13.62/2.31 inference(resolution,[],['48','49'])).
% 13.62/2.31 cnf('51', plain, (r1(X,$sk10(X,X,X)) | ~$df2(X,X,X)),
% 13.62/2.31 inference(factorization,[then_simplify],['25','41'])).
% 13.62/2.31 cnf('52', plain, (~p2($sk10($sk3,$sk3,$sk3)) | ~$df2($sk3,$sk3,$sk3) | ~r1($sk10($sk3,$sk3,$sk3),X) | p2(X)),
% 13.62/2.31 inference(resolution,[],['50','51'])).
% 13.62/2.31 cnf('53', plain, (p2($sk10(X,X,X)) | ~$df2(X,X,X)),
% 13.62/2.31 inference(factorization,[then_simplify],['8','41'])).
% 13.62/2.31 cnf('54', plain, (~$df2($sk3,$sk3,$sk3) | ~r1($sk10($sk3,$sk3,$sk3),X) | p2(X)),
% 13.62/2.31 inference(resolution,[],['52','53'])).
% 13.62/2.31 cnf('55', plain, (r1(X,$sk4(X)) | ~r1($sk3,X)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('56', plain, (~r1($sk3,$sk10($sk3,$sk3,$sk3)) | ~$df2($sk3,$sk3,$sk3) | p2($sk4($sk10($sk3,$sk3,$sk3)))),
% 13.62/2.31 inference(resolution,[],['54','55'])).
% 13.62/2.31 cnf('57', plain, (~p2($sk4(X)) | ~r1($sk3,X)),
% 13.62/2.31 inference(cnf_transformation,[],['main_$sk'])).
% 13.62/2.31 cnf('58', plain, (~r1($sk3,$sk10($sk3,$sk3,$sk3)) | ~$df2($sk3,$sk3,$sk3)),
% 13.62/2.31 inference(resolution,[],['56','57'])).
% 13.62/2.31 cnf('59', plain, (~$df2($sk3,$sk3,$sk3)),
% 13.62/2.31 inference(resolution,[],['58','51'])).
% 13.62/2.31 cnf('60', plain, ($false),
% 13.62/2.31 inference(resolution,[],['59','23'])).
% 13.62/2.31
% 13.62/2.31 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.62/2.31
% 13.62/2.31 run 38 fork 5 statistics:
% 13.62/2.31 ----------------------------------
% 13.62/2.31 this run seconds: 0.090024
% 13.62/2.31 total seconds: 1.472580
% 13.62/2.31 stat_given_used: 1420
% 13.62/2.31 stat_given_used_at_endgame: 0
% 13.62/2.31 stat_given_candidates: 3619
% 13.62/2.31 stat_given_candidates_at_endgame: 0
% 13.62/2.31 stat_given_candidates_h: 0
% 13.62/2.31 stat_binres_derived_cl: 3983
% 13.62/2.31 stat_binres_derived_cl_h: 0
% 13.62/2.31 stat_factor_derived_cl: 814
% 13.62/2.31 stat_para_derived_cl: 0
% 13.62/2.31 stat_tautologies_discarded: 327
% 13.62/2.31 stat_forward_subsumed: 133
% 13.62/2.31 stat_derived_cut: 974
% 13.62/2.31 stat_derived_rewritten: 0
% 13.62/2.31 stat_weight_discarded_building: 0
% 13.62/2.31 stat_weight_discarded_cl: 540
% 13.62/2.31 stat_internlimit_discarded_cl: 0
% 13.62/2.31 stat_simplified: 112 simplified 0 derived 0 given
% 13.62/2.31 stat_kept_cl: 3796
% 13.62/2.31 stat_built_cl: 7288
% 13.62/2.31 stat_hyperres_partial_cl: 0
% 13.62/2.31 stat_made_rewriters: 0
% 13.62/2.31 stat_backward_subsumed: 0
% 13.62/2.31 stat_propagated_subsumed: 0
% 13.62/2.31 stat_clsubs_attempted: 19468
% 13.62/2.31 stat_clsubs_fact_groundunit_found: 11
% 13.62/2.31 stat_clsubs_rule_groundunit_found: 23
% 13.62/2.31 stat_clsubs_top_meta_attempted: 1950966
% 13.62/2.31 stat_clsubs_top_meta_failed: 1931498
% 13.62/2.31 stat_clsubs_top_meta_nonpref_attempted: 1950966
% 13.62/2.31 stat_clsubs_top_meta_nonpref_succeeded: 615663
% 13.62/2.31 stat_clsubs_top_meta_pref_attempted: 615663
% 13.62/2.31 stat_clsubs_top_meta_pref1_succeeded: 67132
% 13.62/2.31 stat_clsubs_top_meta_pref2_succeeded: 20400
% 13.62/2.31 stat_clsubs_top_meta_pref3_succeeded: 19468
% 13.62/2.31 stat_clsubs_top_meta_pref_succeeded: 19468
% 13.62/2.31 stat_clsubs_meta_attempted: 62942
% 13.62/2.31 stat_clsubs_meta_failed: 22971
% 13.62/2.31 stat_clsubs_predsymbs_attempted: 0
% 13.62/2.31 stat_clsubs_unit_attempted: 5128
% 13.62/2.31 stat_clsubs_full_attempted: 14340
% 13.62/2.31 stat_forwardsubs_attempted: 4469
% 13.62/2.31 stat_lit_hash_added: 600
% 13.62/2.31 stat_lit_hash_computed: 80033
% 13.62/2.31 stat_lit_hash_match_found: 553
% 13.62/2.31 stat_lit_hash_match_miss: 116236
% 13.62/2.31 stat_lit_hash_cut_ok: 463
% 13.62/2.31 stat_lit_strong_cut_ok: 646
% 13.62/2.31 stat_lit_hash_subsume_ok: 133
% 13.62/2.31 clqueue els 10000000 used 1
% 13.62/2.31 clactive els 10000000 used 1421
% 13.62/2.31 clactivesubsume els 10000000 used 8347
% 13.62/2.31 queue_termbuf els 200000000 used 355195
% 13.62/2.31 hyper_termbuf els 100000000 used 1
% 13.62/2.31 active_termbuf els 100000000 used 92459
% 13.62/2.31 varstack els 5000 last used 1
% 13.62/2.31 given_termbuf els 10000000 last used 15
% 13.62/2.31 simplified_termbuf els 10000000 last used 1
% 13.62/2.31 derived_termbuf els 10000000 last used 3
% 13.62/2.31 wr_mallocs: 4172
% 13.62/2.31 wr_callocs: 21
% 13.62/2.31 wr_reallocs: 397
% 13.62/2.31 wr_frees: 2
% 13.62/2.31 wr_malloc_bytes: 4162718628
% 13.62/2.31 wr_calloc_bytes: 112065536
% 13.62/2.31 wr_realloc_bytes: 123264
% 13.62/2.31 wr_realloc_freebytes: 0
% 13.62/2.31 ----------------------------------
%------------------------------------------------------------------------------