TSTP Solution File: ROB009-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : ROB009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n028.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 14:08:14 EDT 2023

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named condition)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))),
    inference(cnf_transformation,[],[condition]) ).

cnf('2',plain,
    negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
    inference(cnf_transformation,[],['$inc_robbins_axiom']) ).

cnf('3',plain,
    negate(add(negate(add(a,add(b,c))),negate(add(b,negate(add(a,c)))))) = a,
    inference(paramodulation,[],['1','2']) ).

cnf('4',plain,
    add(X,Y) = add(Y,X),
    inference(cnf_transformation,[],['$inc_commutativity_of_add']) ).

cnf('5',plain,
    add(add(X,Y),Z) = add(X,add(Y,Z)),
    inference(cnf_transformation,[],['$inc_associativity_of_add']) ).

cnf('6',plain,
    negate(add(negate(add(X,Y)),negate(add(Y,negate(X))))) = Y,
    inference(paramodulation,[],['4','2']) ).

cnf('7',plain,
    negate(add(negate(add(X,add(Y,Z))),negate(add(Z,negate(add(X,Y)))))) = Z,
    inference(paramodulation,[],['5','6']) ).

cnf('8',plain,
    negate(add(negate(add(X,add(Y,Z))),negate(add(Y,negate(add(X,Z)))))) = Y,
    inference(paramodulation,[],['4','7']) ).

cnf('9',plain,
    a != b,
    inference(cnf_transformation,[],[prove_result]) ).

cnf('10',plain,
    $false,
    inference(paramodulation,[then_simplify],['3','8','9']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ROB009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command  : gkc %s
% 0.11/0.33  % Computer : n028.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Aug 28 07:06:24 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.19/0.37  
% 0.19/0.37  input clause set summed statistics:
% 0.19/0.37  ----------------------------------
% 0.19/0.37  in_clause_count:                     5
% 0.19/0.37  in_rule_clause_count:                5
% 0.19/0.37  in_fact_clause_count:                0
% 0.19/0.37  in_answer_clause_count:              0
% 0.19/0.37  in_ground_clause_count:              2
% 0.19/0.37  in_unit_clause_count:                5
% 0.19/0.37  in_horn_clause_count:                5
% 0.19/0.37  in_pos_clause_count:                 4
% 0.19/0.37  in_neg_clause_count:                 1
% 0.19/0.37  in_poseq_clause_count:               4
% 0.19/0.37  in_negeq_clause_count:               1
% 0.19/0.37  in_unitposeq_clause_count:           4
% 0.19/0.37  in_chain_clause_count:               0
% 0.19/0.37  in_min_length:             1
% 0.19/0.37  in_max_length:             1
% 0.19/0.37  in_min_depth:              1
% 0.19/0.37  in_max_depth:              6
% 0.19/0.37  in_min_size:               3
% 0.19/0.37  in_max_size:              15
% 0.19/0.37  in_min_vars:               0
% 0.19/0.37  in_max_vars:               3
% 0.19/0.37  in_extaxiom_count:                 3
% 0.19/0.37  in_axiom_count:                    0
% 0.19/0.37  in_assumption_count:               1
% 0.19/0.37  in_goal_count:                     1
% 0.19/0.37  in_neg_goal_count:                 1
% 0.19/0.37  in_pos_goal_count:                 0
% 0.19/0.37  in_posunit_goal_count:             0
% 0.19/0.37  
% 0.19/0.37  auto guide:
% 0.19/0.37  -----------
% 0.19/0.37  {
% 0.19/0.37  "print":1,
% 0.19/0.37  "print_level": 15,
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% 0.19/0.38  
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 0},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 2},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.19/0.38  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.19/0.38  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4} 
% 0.19/0.38  
% 0.19/0.38  ]}
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  **** run 1 fork 0 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.38  
% 0.19/0.38  **** run 2 fork 1 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.38  
% 0.19/0.38  **** run 3 fork 2 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.38  
% 0.19/0.38  **** run 4 fork 3 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.19/0.38  
% 0.19/0.38  **** run 5 fork 4 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.19/0.38  
% 0.19/0.38  **** run 6 fork 5 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.38  
% 0.19/0.38  **** run 7 fork 6 starts with strategy
% 0.19/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.19/0.39  
% 0.19/0.39  **** run 8 fork 7 starts with strategy
% 0.19/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  result: proof found
% 0.19/0.49  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.49  by run 7 fork 6 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.49  
% 0.19/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.49  
% 0.19/0.49  run 7 fork 6 statistics:
% 0.19/0.49  ----------------------------------
% 0.19/0.49  this run seconds: 0.086894
% 0.19/0.49  total seconds: 0.109833
% 0.19/0.49  stat_given_used: 80
% 0.19/0.49  stat_given_used_at_endgame: 0
% 0.19/0.49  stat_given_candidates:   145
% 0.19/0.49  stat_given_candidates_at_endgame: 0
% 0.19/0.49  stat_given_candidates_h: 0
% 0.19/0.49  stat_binres_derived_cl:   0
% 0.19/0.49  stat_binres_derived_cl_h: 0
% 0.19/0.49  stat_factor_derived_cl: 0
% 0.19/0.49  stat_para_derived_cl: 15464
% 0.19/0.49  stat_tautologies_discarded: 0
% 0.19/0.49  stat_forward_subsumed: 4351
% 0.19/0.49  stat_derived_cut: 1
% 0.19/0.49  stat_derived_rewritten: 11
% 0.19/0.49  stat_weight_discarded_building: 0
% 0.19/0.49  stat_weight_discarded_cl: 4533
% 0.19/0.49  stat_internlimit_discarded_cl: 0
% 0.19/0.49  stat_simplified:  11 simplified 0 derived 0 given
% 0.19/0.49  stat_kept_cl: 5946
% 0.19/0.49  stat_built_cl: 10650
% 0.19/0.49  stat_hyperres_partial_cl: 0
% 0.19/0.49  stat_made_rewriters: 76
% 0.19/0.49  stat_backward_subsumed: 0
% 0.19/0.49  stat_propagated_subsumed: 0
% 0.19/0.49  stat_clsubs_attempted:                      1064
% 0.19/0.49  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.49  stat_clsubs_rule_groundunit_found:             1
% 0.19/0.49  stat_clsubs_top_meta_attempted:               2617
% 0.19/0.49  stat_clsubs_top_meta_failed:                  1553
% 0.19/0.49  stat_clsubs_top_meta_nonpref_attempted:                2617
% 0.19/0.49  stat_clsubs_top_meta_nonpref_succeeded:                1171
% 0.19/0.49  stat_clsubs_top_meta_pref_attempted:                   1171
% 0.19/0.49  stat_clsubs_top_meta_pref1_succeeded:                  1171
% 0.19/0.49  stat_clsubs_top_meta_pref2_succeeded:                  1064
% 0.19/0.49  stat_clsubs_top_meta_pref3_succeeded:                  1064
% 0.19/0.49  stat_clsubs_top_meta_pref_succeeded:                   1064
% 0.19/0.49  stat_clsubs_meta_attempted:                 1064
% 0.19/0.49  stat_clsubs_meta_failed:                      22
% 0.19/0.49  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.49  stat_clsubs_unit_attempted:                 1064
% 0.19/0.49  stat_clsubs_full_attempted:                    0
% 0.19/0.49  stat_forwardsubs_attempted:                14831
% 0.19/0.49  stat_lit_hash_added:                   5961
% 0.19/0.49  stat_lit_hash_computed:               20892
% 0.19/0.49  stat_lit_hash_match_found:             4353
% 0.19/0.49  stat_lit_hash_match_miss:             21069
% 0.19/0.49  stat_lit_hash_cut_ok:                     1
% 0.19/0.49  stat_lit_strong_cut_ok:                   0
% 0.19/0.49  stat_lit_hash_subsume_ok:              4351
% 0.19/0.49  clqueue els 10000000 used 1
% 0.19/0.49  clactive els 10000000 used 81
% 0.19/0.49  clactivesubsume els 10000000 used 421
% 0.19/0.49  queue_termbuf els 200000000 used 899981
% 0.19/0.49  hyper_termbuf els 100000000 used 1
% 0.19/0.49  active_termbuf els 100000000 used 5639
% 0.19/0.49  varstack els 5000 last used 1
% 0.19/0.49  given_termbuf els 10000000 last used 1
% 0.19/0.49  simplified_termbuf els 10000000 last used 1
% 0.19/0.49  derived_termbuf els 10000000 last used 23
% 0.19/0.49  wr_mallocs: 24114
% 0.19/0.49  wr_callocs: 21
% 0.19/0.49  wr_reallocs: 1065
% 0.19/0.49  wr_frees: 2
% 0.19/0.49  wr_malloc_bytes: 4163432692
% 0.19/0.49  wr_calloc_bytes: 112065536
% 0.19/0.49  wr_realloc_bytes: 191864
% 0.19/0.49  wr_realloc_freebytes: 0
% 0.19/0.49  ----------------------------------
%------------------------------------------------------------------------------