TSTP Solution File: GRP467-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP467-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n018.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 00:54:21 EDT 2023

% Result   : Unsatisfiable 2.52s 0.79s
% Output   : CNFRefutation 2.52s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named multiply)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    multiply(X,Y) = divide(X,inverse(Y)),
    inference(cnf_transformation,[],[multiply]) ).

cnf('2',plain,
    divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
    inference(cnf_transformation,[],[single_axiom]) ).

cnf('3',plain,
    divide(divide(X,X),divide(Y,multiply(divide(Z,divide(U,Y)),U))) = Z,
    inference(simplify,[],['2','1']) ).

cnf('4',plain,
    divide(divide(X,X),divide(multiply(divide(Y,divide(Z,U)),Z),multiply(Y,U))) = divide(V,V),
    inference(paramodulation,[],['3','3']) ).

cnf('5',plain,
    divide(divide(X,X),divide(Y,multiply(divide(divide(Z,Z),divide(multiply(divide(U,divide(V,W)),V),multiply(U,W))),X2006))) = divide(X2006,Y),
    inference(paramodulation,[],['4','3']) ).

cnf('6',plain,
    divide(divide(X,X),divide(Y,multiply(divide(Z,Z),U))) = divide(U,Y),
    inference(paramodulation,[],['4','5']) ).

cnf('7',plain,
    divide(divide(X,X),divide(Y,multiply(divide(Z,multiply(divide(U,U),Z)),V))) = divide(V,Y),
    inference(paramodulation,[],['6','6']) ).

cnf('8',plain,
    divide(divide(X,X),divide(inverse(Y),multiply(divide(Z,multiply(U,Y)),U))) = Z,
    inference(paramodulation,[],['1','3']) ).

cnf('9',plain,
    divide(divide(X3,X3),inverse(Y3)) = Y3,
    inference(paramodulation,[],['7','8']) ).

cnf('10',plain,
    multiply(divide(X,X),Y) = Y,
    inference(simplify,[],['9','1']) ).

cnf('11',plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(cnf_transformation,[],[prove_these_axioms_2]) ).

cnf('12',plain,
    $false,
    inference(paramodulation,[then_simplify],['1','10','11']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP467-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13  % Command  : gkc %s
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Aug 29 00:17:02 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.38  
% 0.20/0.38  input clause set summed statistics:
% 0.20/0.38  ----------------------------------
% 0.20/0.38  in_clause_count:                     3
% 0.20/0.38  in_rule_clause_count:                3
% 0.20/0.38  in_fact_clause_count:                0
% 0.20/0.38  in_answer_clause_count:              0
% 0.20/0.38  in_ground_clause_count:              1
% 0.20/0.38  in_unit_clause_count:                3
% 0.20/0.38  in_horn_clause_count:                3
% 0.20/0.38  in_pos_clause_count:                 2
% 0.20/0.38  in_neg_clause_count:                 1
% 0.20/0.38  in_poseq_clause_count:               2
% 0.20/0.38  in_negeq_clause_count:               1
% 0.20/0.38  in_unitposeq_clause_count:           2
% 0.20/0.38  in_chain_clause_count:               0
% 0.20/0.38  in_min_length:             1
% 0.20/0.38  in_max_length:             1
% 0.20/0.38  in_min_depth:              3
% 0.20/0.38  in_max_depth:              6
% 0.20/0.38  in_min_size:               8
% 0.20/0.38  in_max_size:              16
% 0.20/0.38  in_min_vars:               0
% 0.20/0.38  in_max_vars:               4
% 0.20/0.38  in_extaxiom_count:                 0
% 0.20/0.38  in_axiom_count:                    2
% 0.20/0.38  in_assumption_count:               0
% 0.20/0.38  in_goal_count:                     1
% 0.20/0.38  in_neg_goal_count:                 1
% 0.20/0.38  in_pos_goal_count:                 0
% 0.20/0.38  in_posunit_goal_count:             0
% 0.20/0.38  
% 0.20/0.38  auto guide:
% 0.20/0.38  -----------
% 0.20/0.38  {
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% 0.20/0.38  
% 0.20/0.38  ]}
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  **** run 1 fork 0 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.38  
% 0.20/0.38  **** run 2 fork 1 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.38  
% 0.20/0.38  **** run 3 fork 2 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.38  
% 0.20/0.38  **** run 4 fork 3 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.38  
% 0.20/0.38  **** run 5 fork 4 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.20/0.38  
% 0.20/0.38  **** run 6 fork 5 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.38  
% 0.20/0.38  **** run 8 fork 7 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.20/0.38  
% 0.20/0.38  **** run 7 fork 6 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  fork 7: search terminated without proof.
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  fork 2: search terminated without proof.
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  fork 3: search terminated without proof.
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  fork 4: search terminated without proof.
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  fork 5: search terminated without proof.
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  fork 6: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  **** run 15 fork 6 starts with strategy
% 0.20/0.52  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.53  
% 0.20/0.53  **** run 16 fork 7 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 0.20/0.53  
% 0.20/0.53  **** run 12 fork 3 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.53  
% 0.20/0.53  **** run 13 fork 4 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.54  
% 0.20/0.54  **** run 11 fork 2 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.54  
% 0.20/0.54  **** run 14 fork 5 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.20/0.64  
% 0.20/0.64  
% 0.20/0.64  fork 6: search terminated without proof.
% 0.20/0.64  
% 0.20/0.64  
% 0.20/0.64  fork 7: search terminated without proof.
% 0.20/0.64  
% 0.20/0.64  
% 0.20/0.64  fork 3: search terminated without proof.
% 0.20/0.65  
% 0.20/0.65  
% 0.20/0.65  fork 4: search terminated without proof.
% 0.20/0.65  
% 0.20/0.65  
% 0.20/0.65  fork 2: search terminated without proof.
% 0.20/0.65  
% 0.20/0.65  
% 0.20/0.65  fork 5: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  **** run 23 fork 6 starts with strategy
% 0.20/0.66  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.20/0.66  
% 0.20/0.66  **** run 24 fork 7 starts with strategy
% 0.20/0.66  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.67  
% 0.20/0.67  **** run 21 fork 4 starts with strategy
% 0.20/0.67  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.67  
% 0.20/0.67  **** run 20 fork 3 starts with strategy
% 0.20/0.67  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0}
% 0.20/0.67  
% 0.20/0.67  **** run 19 fork 2 starts with strategy
% 0.20/0.67  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
% 0.20/0.68  
% 0.20/0.68  **** run 22 fork 5 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.69  
% 0.20/0.69  fork 6: search finished without proof.
% 0.20/0.69  
% 0.20/0.69  fork 2: search finished without proof.
% 0.20/0.69  
% 0.20/0.69  fork 7: search finished without proof.
% 0.20/0.70  
% 0.20/0.70  fork 4: search finished without proof.
% 0.20/0.71  
% 0.20/0.71  **** run 31 fork 6 starts with strategy
% 0.20/0.71  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.71  
% 0.20/0.71  **** run 32 fork 7 starts with strategy
% 0.20/0.71  {"max_dseconds":1,"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}
% 0.20/0.71  
% 0.20/0.71  fork 3: search finished without proof.
% 0.20/0.71  
% 0.20/0.71  fork 5: search finished without proof.
% 0.20/0.71  
% 0.20/0.71  **** run 27 fork 2 starts with strategy
% 0.20/0.71  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.20/0.72  
% 0.20/0.72  **** run 29 fork 4 starts with strategy
% 0.20/0.72  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.73  
% 0.20/0.73  fork 2: search finished without proof.
% 0.20/0.73  
% 0.20/0.73  fork 6: search finished without proof.
% 0.20/0.73  
% 0.20/0.73  **** run 30 fork 5 starts with strategy
% 0.20/0.73  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.74  
% 0.20/0.74  **** run 28 fork 3 starts with strategy
% 0.20/0.74  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.74  
% 0.20/0.74  fork 7: search finished without proof.
% 0.20/0.75  
% 0.20/0.75  fork 4: search finished without proof.
% 0.20/0.75  
% 0.20/0.75  **** run 39 fork 6 starts with strategy
% 0.20/0.75  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":2}
% 0.20/0.75  
% 0.20/0.75  **** run 40 fork 7 starts with strategy
% 0.20/0.75  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.75  
% 0.20/0.75  **** run 35 fork 2 starts with strategy
% 0.20/0.75  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 1.93/0.76  
% 1.93/0.76  fork 5: search finished without proof.
% 2.52/0.76  
% 2.52/0.76  fork 3: search finished without proof.
% 2.52/0.77  
% 2.52/0.77  **** run 37 fork 4 starts with strategy
% 2.52/0.77  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 2.52/0.77  
% 2.52/0.77  fork 2: search finished without proof.
% 2.52/0.78  
% 2.52/0.78  **** run 38 fork 5 starts with strategy
% 2.52/0.78  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"rewrite":0}
% 2.52/0.79  
% 2.52/0.79  **** run 36 fork 3 starts with strategy
% 2.52/0.79  {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 2.52/0.79  
% 2.52/0.79  **** run 43 fork 2 starts with strategy
% 2.52/0.79  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 2.52/0.79  
% 2.52/0.79  
% 2.52/0.79  result: proof found
% 2.52/0.79  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.52/0.79  by run 39 fork 6 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":2}
% 2.52/0.79  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 2.52/0.79  
% 2.52/0.79  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 2.52/0.79  
% 2.52/0.79  run 39 fork 6 statistics:
% 2.52/0.79  ----------------------------------
% 2.52/0.79  this run seconds: 0.018205
% 2.52/0.79  total seconds: 0.412147
% 2.52/0.79  stat_given_used: 32
% 2.52/0.79  stat_given_used_at_endgame: 0
% 2.52/0.79  stat_given_candidates:   56
% 2.52/0.79  stat_given_candidates_at_endgame: 0
% 2.52/0.79  stat_given_candidates_h: 0
% 2.52/0.79  stat_binres_derived_cl:   0
% 2.52/0.79  stat_binres_derived_cl_h: 0
% 2.52/0.79  stat_factor_derived_cl: 0
% 2.52/0.79  stat_para_derived_cl: 2151
% 2.52/0.79  stat_tautologies_discarded: 0
% 2.52/0.79  stat_forward_subsumed: 303
% 2.52/0.79  stat_derived_cut: 1
% 2.52/0.79  stat_derived_rewritten: 2
% 2.52/0.79  stat_weight_discarded_building: 0
% 2.52/0.79  stat_weight_discarded_cl: 0
% 2.52/0.79  stat_internlimit_discarded_cl: 0
% 2.52/0.79  stat_simplified:  2 simplified 0 derived 0 given
% 2.52/0.79  stat_kept_cl: 1793
% 2.52/0.79  stat_built_cl: 1859
% 2.52/0.79  stat_hyperres_partial_cl: 0
% 2.52/0.79  stat_made_rewriters: 25
% 2.52/0.79  stat_backward_subsumed: 0
% 2.52/0.79  stat_propagated_subsumed: 0
% 2.52/0.79  stat_clsubs_attempted:                       116
% 2.52/0.79  stat_clsubs_fact_groundunit_found:             0
% 2.52/0.79  stat_clsubs_rule_groundunit_found:             1
% 2.52/0.79  stat_clsubs_top_meta_attempted:                465
% 2.52/0.79  stat_clsubs_top_meta_failed:                   349
% 2.52/0.79  stat_clsubs_top_meta_nonpref_attempted:                 465
% 2.52/0.79  stat_clsubs_top_meta_nonpref_succeeded:                 206
% 2.52/0.79  stat_clsubs_top_meta_pref_attempted:                    206
% 2.52/0.79  stat_clsubs_top_meta_pref1_succeeded:                   206
% 2.52/0.79  stat_clsubs_top_meta_pref2_succeeded:                   177
% 2.52/0.79  stat_clsubs_top_meta_pref3_succeeded:                   116
% 2.52/0.79  stat_clsubs_top_meta_pref_succeeded:                    116
% 2.52/0.79  stat_clsubs_meta_attempted:                  116
% 2.52/0.79  stat_clsubs_meta_failed:                       0
% 2.52/0.79  stat_clsubs_predsymbs_attempted:               0
% 2.52/0.79  stat_clsubs_unit_attempted:                  116
% 2.52/0.79  stat_clsubs_full_attempted:                    0
% 2.52/0.79  stat_forwardsubs_attempted:                 2097
% 2.52/0.79  stat_lit_hash_added:                   1797
% 2.52/0.79  stat_lit_hash_computed:                3929
% 2.52/0.79  stat_lit_hash_match_found:              304
% 2.52/0.79  stat_lit_hash_match_miss:              3624
% 2.52/0.79  stat_lit_hash_cut_ok:                     0
% 2.52/0.79  stat_lit_strong_cut_ok:                   1
% 2.52/0.79  stat_lit_hash_subsume_ok:               303
% 2.52/0.79  clqueue els 10000000 used 1
% 2.52/0.79  clactive els 10000000 used 33
% 2.52/0.79  clactivesubsume els 10000000 used 187
% 2.52/0.79  queue_termbuf els 200000000 used 246131
% 2.52/0.79  hyper_termbuf els 100000000 used 1
% 2.52/0.79  active_termbuf els 100000000 used 2411
% 2.52/0.79  varstack els 5000 last used 1
% 2.52/0.79  given_termbuf els 10000000 last used 1
% 2.52/0.79  simplified_termbuf els 10000000 last used 1
% 2.52/0.79  derived_termbuf els 10000000 last used 10
% 2.52/0.79  wr_mallocs: 7529
% 2.52/0.79  wr_callocs: 21
% 2.52/0.79  wr_reallocs: 300
% 2.52/0.79  wr_frees: 2
% 2.52/0.79  wr_malloc_bytes: 4162845988
% 2.52/0.79  wr_calloc_bytes: 112065536
% 2.52/0.79  wr_realloc_bytes: 45024
% 2.52/0.79  wr_realloc_freebytes: 0
% 2.52/0.79  ----------------------------------
%------------------------------------------------------------------------------