TSTP Solution File: GRP022-2 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% 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 00:51:54 EDT 2023
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_left_inverse')
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
multiply(inverse(X),X) = identity,
inference(cnf_transformation,[],['$inc_left_inverse']) ).
cnf('2',plain,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
inference(cnf_transformation,[],['$inc_associativity']) ).
cnf('3',plain,
multiply(identity,X3) = multiply(inverse(Y3),multiply(Y3,X3)),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
multiply(identity,X) = X,
inference(cnf_transformation,[],['$inc_left_identity']) ).
cnf('5',plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference(simplify,[],['3','4']) ).
cnf('6',plain,
multiply(X,Y) = multiply(inverse(inverse(X)),Y),
inference(paramodulation,[],['5','5']) ).
cnf('7',plain,
multiply(X,identity) = X,
inference(cnf_transformation,[],[right_identity]) ).
cnf('8',plain,
multiply(X3,identity) = inverse(inverse(X3)),
inference(paramodulation,[],['6','7']) ).
cnf('9',plain,
X = inverse(inverse(X)),
inference(simplify,[],['8','7']) ).
cnf('10',plain,
inverse(inverse(a)) != a,
inference(cnf_transformation,[],[prove_inverse_of_inverse_is_original]) ).
cnf('11',plain,
$false,
inference(paramodulation,[],['9','10']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : gkc %s
% 0.12/0.33 % Computer : n018.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 : Tue Aug 29 02:52:17 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.38
% 0.19/0.38 input clause set summed statistics:
% 0.19/0.38 ----------------------------------
% 0.19/0.38 in_clause_count: 6
% 0.19/0.38 in_rule_clause_count: 6
% 0.19/0.38 in_fact_clause_count: 0
% 0.19/0.38 in_answer_clause_count: 0
% 0.19/0.38 in_ground_clause_count: 1
% 0.19/0.38 in_unit_clause_count: 6
% 0.19/0.38 in_horn_clause_count: 6
% 0.19/0.38 in_pos_clause_count: 5
% 0.19/0.38 in_neg_clause_count: 1
% 0.19/0.38 in_poseq_clause_count: 5
% 0.19/0.38 in_negeq_clause_count: 1
% 0.19/0.38 in_unitposeq_clause_count: 5
% 0.19/0.38 in_chain_clause_count: 0
% 0.19/0.38 in_min_length: 1
% 0.19/0.38 in_max_length: 1
% 0.19/0.38 in_min_depth: 2
% 0.19/0.38 in_max_depth: 3
% 0.19/0.38 in_min_size: 5
% 0.19/0.38 in_max_size: 11
% 0.19/0.38 in_min_vars: 0
% 0.19/0.38 in_max_vars: 3
% 0.19/0.38 in_extaxiom_count: 3
% 0.19/0.38 in_axiom_count: 2
% 0.19/0.38 in_assumption_count: 0
% 0.19/0.38 in_goal_count: 1
% 0.19/0.38 in_neg_goal_count: 1
% 0.19/0.38 in_pos_goal_count: 0
% 0.19/0.38 in_posunit_goal_count: 0
% 0.19/0.38
% 0.19/0.38 auto guide:
% 0.19/0.38 -----------
% 0.19/0.38 {
% 0.19/0.38 "print":1,
% 0.19/0.38 "print_level": 15,
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% 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 7 fork 6 starts with strategy
% 0.19/0.38 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.19/0.38
% 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 8 fork 7 starts with strategy
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% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 result: proof found
% 0.19/0.41 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 by run 5 fork 4 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.19/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41
% 0.19/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.41
% 0.19/0.41 run 5 fork 4 statistics:
% 0.19/0.41 ----------------------------------
% 0.19/0.41 this run seconds: 0.009735
% 0.19/0.41 total seconds: 0.030546
% 0.19/0.41 stat_given_used: 11
% 0.19/0.41 stat_given_used_at_endgame: 0
% 0.19/0.41 stat_given_candidates: 33
% 0.19/0.41 stat_given_candidates_at_endgame: 0
% 0.19/0.41 stat_given_candidates_h: 0
% 0.19/0.41 stat_binres_derived_cl: 0
% 0.19/0.41 stat_binres_derived_cl_h: 0
% 0.19/0.41 stat_factor_derived_cl: 0
% 0.19/0.41 stat_para_derived_cl: 116
% 0.19/0.41 stat_tautologies_discarded: 0
% 0.19/0.41 stat_forward_subsumed: 24
% 0.19/0.41 stat_derived_cut: 0
% 0.19/0.41 stat_derived_rewritten: 3
% 0.19/0.41 stat_weight_discarded_building: 0
% 0.19/0.41 stat_weight_discarded_cl: 0
% 0.19/0.41 stat_internlimit_discarded_cl: 0
% 0.19/0.41 stat_simplified: 3 simplified 0 derived 0 given
% 0.19/0.41 stat_kept_cl: 65
% 0.19/0.41 stat_built_cl: 90
% 0.19/0.41 stat_hyperres_partial_cl: 0
% 0.19/0.41 stat_made_rewriters: 9
% 0.19/0.41 stat_backward_subsumed: 0
% 0.19/0.41 stat_propagated_subsumed: 0
% 0.19/0.41 stat_clsubs_attempted: 11
% 0.19/0.41 stat_clsubs_fact_groundunit_found: 0
% 0.19/0.41 stat_clsubs_rule_groundunit_found: 0
% 0.19/0.41 stat_clsubs_top_meta_attempted: 39
% 0.19/0.41 stat_clsubs_top_meta_failed: 28
% 0.19/0.41 stat_clsubs_top_meta_nonpref_attempted: 39
% 0.19/0.41 stat_clsubs_top_meta_nonpref_succeeded: 16
% 0.19/0.41 stat_clsubs_top_meta_pref_attempted: 16
% 0.19/0.41 stat_clsubs_top_meta_pref1_succeeded: 16
% 0.19/0.41 stat_clsubs_top_meta_pref2_succeeded: 16
% 0.19/0.41 stat_clsubs_top_meta_pref3_succeeded: 11
% 0.19/0.41 stat_clsubs_top_meta_pref_succeeded: 11
% 0.19/0.41 stat_clsubs_meta_attempted: 11
% 0.19/0.41 stat_clsubs_meta_failed: 0
% 0.19/0.41 stat_clsubs_predsymbs_attempted: 0
% 0.19/0.41 stat_clsubs_unit_attempted: 11
% 0.19/0.41 stat_clsubs_full_attempted: 0
% 0.19/0.41 stat_forwardsubs_attempted: 89
% 0.19/0.41 stat_lit_hash_added: 73
% 0.19/0.41 stat_lit_hash_computed: 175
% 0.19/0.41 stat_lit_hash_match_found: 24
% 0.19/0.41 stat_lit_hash_match_miss: 146
% 0.19/0.41 stat_lit_hash_cut_ok: 0
% 0.19/0.41 stat_lit_strong_cut_ok: 0
% 0.19/0.41 stat_lit_hash_subsume_ok: 24
% 0.19/0.41 clqueue els 10000000 used 1
% 0.19/0.41 clactive els 10000000 used 12
% 0.19/0.41 clactivesubsume els 10000000 used 55
% 0.19/0.41 queue_termbuf els 200000000 used 3505
% 0.19/0.41 hyper_termbuf els 100000000 used 1
% 0.19/0.41 active_termbuf els 100000000 used 308
% 0.19/0.41 varstack els 5000 last used 1
% 0.19/0.41 given_termbuf els 10000000 last used 1
% 0.19/0.41 simplified_termbuf els 10000000 last used 1
% 0.19/0.41 derived_termbuf els 10000000 last used 22
% 0.19/0.41 wr_mallocs: 409
% 0.19/0.41 wr_callocs: 21
% 0.19/0.41 wr_reallocs: 7
% 0.19/0.41 wr_frees: 2
% 0.19/0.41 wr_malloc_bytes: 4162591956
% 0.19/0.41 wr_calloc_bytes: 112065536
% 0.19/0.41 wr_realloc_bytes: 656
% 0.19/0.41 wr_realloc_freebytes: 0
% 0.19/0.41 ----------------------------------
%------------------------------------------------------------------------------