TSTP Solution File: GRP665-12 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP665-12 : TPTP v8.1.2. Released v8.1.0.
% 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   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:55:41 EDT 2023

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f09)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    mult(op_c,X) = mult(X,op_c),
    inference(cnf_transformation,[],[f09]) ).

cnf('2',plain,
    ld(X,mult(X,Y)) = Y,
    inference(cnf_transformation,[],[f02]) ).

cnf('3',plain,
    ld(X,mult(op_c,X)) = op_c,
    inference(paramodulation,[],['1','2']) ).

cnf('4',plain,
    mult(X,ld(X,Y)) = Y,
    inference(cnf_transformation,[],[f01]) ).

cnf('5',plain,
    mult(X,op_c) = mult(op_c,X),
    inference(paramodulation,[],['3','4']) ).

cnf('6',plain,
    mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
    inference(cnf_transformation,[],[goal]) ).

cnf('7',plain,
    mult(op_c,mult(x0,x1)) != mult(x0,mult(x1,op_c)),
    inference(paramodulation,[],['1','6']) ).

cnf('8',plain,
    rd(mult(X,Y),Y) = X,
    inference(cnf_transformation,[],[f04]) ).

cnf('9',plain,
    rd(mult(op_c,X),op_c) = X,
    inference(paramodulation,[],['1','8']) ).

cnf('10',plain,
    mult(X,mult(Y,Z)) = mult(rd(mult(X,Y),X),mult(X,Z)),
    inference(cnf_transformation,[],[f07]) ).

cnf('11',plain,
    mult(op_c,mult(X3,Y3)) = mult(X3,mult(op_c,Y3)),
    inference(paramodulation,[],['9','10']) ).

cnf('12',plain,
    $false,
    inference(paramodulation,[then_simplify],['5','7','11']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP665-12 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.12  % Command  : gkc %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Aug 28 22:35:58 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  
% 0.12/0.37  input clause set summed statistics:
% 0.12/0.37  ----------------------------------
% 0.12/0.37  in_clause_count:                    10
% 0.12/0.37  in_rule_clause_count:               10
% 0.12/0.37  in_fact_clause_count:                0
% 0.12/0.37  in_answer_clause_count:              0
% 0.12/0.37  in_ground_clause_count:              1
% 0.12/0.37  in_unit_clause_count:               10
% 0.12/0.37  in_horn_clause_count:               10
% 0.12/0.37  in_pos_clause_count:                 9
% 0.12/0.37  in_neg_clause_count:                 1
% 0.12/0.37  in_poseq_clause_count:               9
% 0.12/0.37  in_negeq_clause_count:               1
% 0.12/0.37  in_unitposeq_clause_count:           9
% 0.12/0.37  in_chain_clause_count:               0
% 0.12/0.37  in_min_length:             1
% 0.12/0.37  in_max_length:             1
% 0.12/0.37  in_min_depth:              2
% 0.12/0.37  in_max_depth:              4
% 0.12/0.37  in_min_size:               5
% 0.12/0.37  in_max_size:              15
% 0.12/0.37  in_min_vars:               0
% 0.12/0.37  in_max_vars:               3
% 0.12/0.37  in_extaxiom_count:                 0
% 0.12/0.37  in_axiom_count:                    9
% 0.12/0.37  in_assumption_count:               0
% 0.12/0.37  in_goal_count:                     1
% 0.12/0.37  in_neg_goal_count:                 1
% 0.12/0.37  in_pos_goal_count:                 0
% 0.12/0.38  in_posunit_goal_count:             0
% 0.12/0.38  
% 0.12/0.38  auto guide:
% 0.12/0.38  -----------
% 0.12/0.38  {
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% 0.12/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
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% 0.12/0.38  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
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% 0.12/0.38  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.12/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.12/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.12/0.38  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 0},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 1},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 2},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.12/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds": 1250, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1} 
% 0.12/0.38  
% 0.12/0.38  ]}
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  **** run 1 fork 0 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.12/0.38  
% 0.12/0.38  **** run 2 fork 1 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.12/0.38  
% 0.12/0.38  **** run 3 fork 2 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.12/0.38  
% 0.12/0.38  **** run 4 fork 3 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.12/0.38  
% 0.12/0.38  **** run 5 fork 4 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.12/0.38  
% 0.12/0.38  **** run 6 fork 5 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.12/0.38  
% 0.12/0.38  **** run 7 fork 6 starts with strategy
% 0.12/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.12/0.39  
% 0.12/0.39  **** run 8 fork 7 starts with strategy
% 0.12/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  result: proof found
% 0.19/0.47  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.47  by run 4 fork 3 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.19/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.47  
% 0.19/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.47  
% 0.19/0.47  run 4 fork 3 statistics:
% 0.19/0.47  ----------------------------------
% 0.19/0.47  this run seconds: 0.034839
% 0.19/0.47  total seconds: 0.057534
% 0.19/0.47  stat_given_used: 93
% 0.19/0.47  stat_given_used_at_endgame: 0
% 0.19/0.47  stat_given_candidates:   651
% 0.19/0.47  stat_given_candidates_at_endgame: 0
% 0.19/0.47  stat_given_candidates_h: 0
% 0.19/0.47  stat_binres_derived_cl:   0
% 0.19/0.47  stat_binres_derived_cl_h: 0
% 0.19/0.47  stat_factor_derived_cl: 0
% 0.19/0.47  stat_para_derived_cl: 3697
% 0.19/0.47  stat_tautologies_discarded: 0
% 0.19/0.47  stat_forward_subsumed: 1075
% 0.19/0.47  stat_derived_cut: 1
% 0.19/0.47  stat_derived_rewritten: 9
% 0.19/0.47  stat_weight_discarded_building: 0
% 0.19/0.47  stat_weight_discarded_cl: 0
% 0.19/0.47  stat_internlimit_discarded_cl: 0
% 0.19/0.47  stat_simplified:  9 simplified 0 derived 0 given
% 0.19/0.47  stat_kept_cl: 2272
% 0.19/0.47  stat_built_cl: 2467
% 0.19/0.47  stat_hyperres_partial_cl: 0
% 0.19/0.47  stat_made_rewriters: 88
% 0.19/0.47  stat_backward_subsumed: 0
% 0.19/0.47  stat_propagated_subsumed: 0
% 0.19/0.47  stat_clsubs_attempted:                       778
% 0.19/0.47  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.47  stat_clsubs_rule_groundunit_found:             1
% 0.19/0.47  stat_clsubs_top_meta_attempted:               4242
% 0.19/0.47  stat_clsubs_top_meta_failed:                  3464
% 0.19/0.47  stat_clsubs_top_meta_nonpref_attempted:                4242
% 0.19/0.47  stat_clsubs_top_meta_nonpref_succeeded:                2691
% 0.19/0.47  stat_clsubs_top_meta_pref_attempted:                   2691
% 0.19/0.47  stat_clsubs_top_meta_pref1_succeeded:                  2636
% 0.19/0.47  stat_clsubs_top_meta_pref2_succeeded:                  1183
% 0.19/0.47  stat_clsubs_top_meta_pref3_succeeded:                   778
% 0.19/0.47  stat_clsubs_top_meta_pref_succeeded:                    778
% 0.19/0.47  stat_clsubs_meta_attempted:                  778
% 0.19/0.47  stat_clsubs_meta_failed:                      23
% 0.19/0.47  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.47  stat_clsubs_unit_attempted:                  778
% 0.19/0.47  stat_clsubs_full_attempted:                    0
% 0.19/0.47  stat_forwardsubs_attempted:                 3348
% 0.19/0.47  stat_lit_hash_added:                   2287
% 0.19/0.47  stat_lit_hash_computed:                5779
% 0.19/0.47  stat_lit_hash_match_found:             1112
% 0.19/0.47  stat_lit_hash_match_miss:              4662
% 0.19/0.47  stat_lit_hash_cut_ok:                     0
% 0.19/0.47  stat_lit_strong_cut_ok:                   1
% 0.19/0.47  stat_lit_hash_subsume_ok:              1075
% 0.19/0.47  clqueue els 10000000 used 1
% 0.19/0.47  clactive els 10000000 used 94
% 0.19/0.47  clactivesubsume els 10000000 used 529
% 0.19/0.47  queue_termbuf els 200000000 used 142327
% 0.19/0.47  hyper_termbuf els 100000000 used 1
% 0.19/0.47  active_termbuf els 100000000 used 3506
% 0.19/0.47  varstack els 5000 last used 1
% 0.19/0.47  given_termbuf els 10000000 last used 1
% 0.19/0.47  simplified_termbuf els 10000000 last used 1
% 0.19/0.47  derived_termbuf els 10000000 last used 51
% 0.19/0.47  wr_mallocs: 9850
% 0.19/0.47  wr_callocs: 21
% 0.19/0.47  wr_reallocs: 230
% 0.19/0.47  wr_frees: 2
% 0.19/0.47  wr_malloc_bytes: 4162929684
% 0.19/0.47  wr_calloc_bytes: 112065536
% 0.19/0.47  wr_realloc_bytes: 51240
% 0.19/0.47  wr_realloc_freebytes: 0
% 0.19/0.47  ----------------------------------
%------------------------------------------------------------------------------