TSTP Solution File: GRP185-1 by GKC---0.8
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%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP185-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n009.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 00:53:12 EDT 2023
% Result : Unsatisfiable 55.42s 7.40s
% Output : CNFRefutation 55.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_associativity_of_lub')
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z),
inference(cnf_transformation,[],['$inc_associativity_of_lub']) ).
cnf('2',plain,
multiply(identity,X) = X,
inference(cnf_transformation,[],['$inc_left_identity']) ).
cnf('3',plain,
multiply(least_upper_bound(X,Y),Z) = least_upper_bound(multiply(X,Z),multiply(Y,Z)),
inference(cnf_transformation,[],['$inc_monotony_lub2']) ).
cnf('4',plain,
least_upper_bound(X,X) = X,
inference(cnf_transformation,[],['$inc_idempotence_of_lub']) ).
cnf('5',plain,
least_upper_bound(X,Y) = least_upper_bound(Y,X),
inference(cnf_transformation,[],['$inc_symmetry_of_lub']) ).
cnf('6',plain,
multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
inference(cnf_transformation,[],['$inc_monotony_lub1']) ).
cnf('7',plain,
least_upper_bound(least_upper_bound(multiply(a,b),identity),multiply(least_upper_bound(a,identity),least_upper_bound(b,identity))) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(cnf_transformation,[],[prove_p22a]) ).
cnf('8',plain,
least_upper_bound(least_upper_bound(identity,multiply(a,b)),multiply(least_upper_bound(a,identity),least_upper_bound(b,identity))) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['5','7']) ).
cnf('9',plain,
least_upper_bound(least_upper_bound(identity,multiply(a,b)),least_upper_bound(multiply(a,least_upper_bound(b,identity)),multiply(identity,least_upper_bound(b,identity)))) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['3','8']) ).
cnf('10',plain,
least_upper_bound(least_upper_bound(identity,multiply(a,b)),least_upper_bound(multiply(a,least_upper_bound(b,identity)),least_upper_bound(b,identity))) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['2','9']) ).
cnf('11',plain,
least_upper_bound(identity,least_upper_bound(multiply(a,b),least_upper_bound(multiply(a,least_upper_bound(b,identity)),least_upper_bound(b,identity)))) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['1','10']) ).
cnf('12',plain,
least_upper_bound(identity,least_upper_bound(least_upper_bound(multiply(a,b),multiply(a,least_upper_bound(b,identity))),least_upper_bound(b,identity))) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['1','11']) ).
cnf('13',plain,
least_upper_bound(identity,least_upper_bound(multiply(a,least_upper_bound(b,least_upper_bound(b,identity))),least_upper_bound(b,identity))) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['6','12']) ).
cnf('14',plain,
least_upper_bound(identity,least_upper_bound(multiply(a,least_upper_bound(least_upper_bound(b,b),identity)),least_upper_bound(b,identity))) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['1','13']) ).
cnf('15',plain,
least_upper_bound(identity,least_upper_bound(multiply(a,least_upper_bound(b,identity)),least_upper_bound(b,identity))) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['4','14']) ).
cnf('16',plain,
least_upper_bound(identity,least_upper_bound(least_upper_bound(multiply(a,least_upper_bound(b,identity)),b),identity)) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['1','15']) ).
cnf('17',plain,
least_upper_bound(identity,least_upper_bound(identity,least_upper_bound(multiply(a,least_upper_bound(b,identity)),b))) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['5','16']) ).
cnf('18',plain,
least_upper_bound(least_upper_bound(identity,identity),least_upper_bound(multiply(a,least_upper_bound(b,identity)),b)) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['1','17']) ).
cnf('19',plain,
least_upper_bound(identity,least_upper_bound(multiply(a,least_upper_bound(b,identity)),b)) != multiply(least_upper_bound(a,identity),least_upper_bound(b,identity)),
inference(paramodulation,[],['4','18']) ).
cnf('20',plain,
least_upper_bound(identity,least_upper_bound(multiply(a,least_upper_bound(b,identity)),b)) != least_upper_bound(multiply(a,least_upper_bound(b,identity)),multiply(identity,least_upper_bound(b,identity))),
inference(paramodulation,[],['3','19']) ).
cnf('21',plain,
least_upper_bound(identity,least_upper_bound(multiply(a,least_upper_bound(b,identity)),b)) != least_upper_bound(multiply(a,least_upper_bound(b,identity)),least_upper_bound(b,identity)),
inference(paramodulation,[],['2','20']) ).
cnf('22',plain,
$false,
inference(paramodulation,[then_simplify],['1','21','5']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP185-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : gkc %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:21:50 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.39
% 0.20/0.39 input clause set summed statistics:
% 0.20/0.39 ----------------------------------
% 0.20/0.39 in_clause_count: 16
% 0.20/0.39 in_rule_clause_count: 16
% 0.20/0.39 in_fact_clause_count: 0
% 0.20/0.39 in_answer_clause_count: 0
% 0.20/0.39 in_ground_clause_count: 1
% 0.20/0.39 in_unit_clause_count: 16
% 0.20/0.39 in_horn_clause_count: 16
% 0.20/0.39 in_pos_clause_count: 15
% 0.20/0.39 in_neg_clause_count: 1
% 0.20/0.39 in_poseq_clause_count: 15
% 0.20/0.39 in_negeq_clause_count: 1
% 0.20/0.39 in_unitposeq_clause_count: 15
% 0.20/0.39 in_chain_clause_count: 0
% 0.20/0.39 in_min_length: 1
% 0.20/0.39 in_max_length: 1
% 0.20/0.39 in_min_depth: 2
% 0.20/0.39 in_max_depth: 4
% 0.20/0.39 in_min_size: 5
% 0.20/0.39 in_max_size: 21
% 0.20/0.39 in_min_vars: 0
% 0.20/0.39 in_max_vars: 3
% 0.20/0.39 in_extaxiom_count: 15
% 0.20/0.39 in_axiom_count: 0
% 0.20/0.39 in_assumption_count: 0
% 0.20/0.39 in_goal_count: 1
% 0.20/0.39 in_neg_goal_count: 1
% 0.20/0.39 in_pos_goal_count: 0
% 0.20/0.39 in_posunit_goal_count: 0
% 0.20/0.39
% 0.20/0.39 auto guide:
% 0.20/0.39 -----------
% 0.20/0.39 {
% 0.20/0.39 "print":1,
% 0.20/0.39 "print_level": 15,
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% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
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% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
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% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.20/0.39 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
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% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":3},
% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":3},
% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":4},
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% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":5},
% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.20/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.20/0.39
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% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
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% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.20/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 53.82/7.18 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":0}
% 54.14/7.21
% 54.14/7.21 **** run 125 fork 4 starts with strategy
% 54.14/7.21 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2}
% 54.70/7.26
% 54.70/7.26
% 54.70/7.26 fork 1: search terminated without proof.
% 54.70/7.27
% 54.70/7.27
% 54.70/7.27 fork 7: search terminated without proof.
% 54.70/7.27
% 54.70/7.27
% 54.70/7.27 fork 6: search terminated without proof.
% 54.81/7.31
% 54.81/7.31 **** run 127 fork 6 starts with strategy
% 54.81/7.31 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":2}
% 55.19/7.32
% 55.19/7.32
% 55.19/7.32 fork 3: search terminated without proof.
% 55.19/7.32
% 55.19/7.32 **** run 122 fork 1 starts with strategy
% 55.19/7.32 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 55.19/7.33
% 55.19/7.33 **** run 128 fork 7 starts with strategy
% 55.19/7.33 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 55.19/7.34
% 55.19/7.34 fork 6: search finished without proof.
% 55.42/7.34
% 55.42/7.34
% 55.42/7.34 fork 0: search terminated without proof.
% 55.42/7.36
% 55.42/7.36 **** run 135 fork 6 starts with strategy
% 55.42/7.36 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":20,"weight_select_ratio":2}
% 55.42/7.38
% 55.42/7.38 **** run 129 fork 0 starts with strategy
% 55.42/7.38 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":6}
% 55.42/7.40
% 55.42/7.40 **** run 124 fork 3 starts with strategy
% 55.42/7.40 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 55.42/7.40
% 55.42/7.40
% 55.42/7.40 result: proof found
% 55.42/7.40 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.42/7.40 by run 123 fork 2 strategy {"max_dseconds":10,"strategy":["query_focus"],"query_preference":0}
% 55.42/7.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.42/7.40
% 55.42/7.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 55.42/7.40
% 55.42/7.40 run 123 fork 2 statistics:
% 55.42/7.40 ----------------------------------
% 55.42/7.40 this run seconds: 0.193261
% 55.42/7.40 total seconds: 6.997910
% 55.42/7.40 stat_given_used: 2355
% 55.42/7.40 stat_given_used_at_endgame: 0
% 55.42/7.40 stat_given_candidates: 2438
% 55.42/7.40 stat_given_candidates_at_endgame: 0
% 55.42/7.40 stat_given_candidates_h: 0
% 55.42/7.40 stat_binres_derived_cl: 0
% 55.42/7.40 stat_binres_derived_cl_h: 0
% 55.42/7.40 stat_factor_derived_cl: 0
% 55.42/7.40 stat_para_derived_cl: 51273
% 55.42/7.40 stat_tautologies_discarded: 0
% 55.42/7.40 stat_forward_subsumed: 31603
% 55.42/7.40 stat_derived_cut: 1
% 55.42/7.40 stat_derived_rewritten: 0
% 55.42/7.40 stat_weight_discarded_building: 0
% 55.42/7.40 stat_weight_discarded_cl: 0
% 55.42/7.40 stat_internlimit_discarded_cl: 0
% 55.42/7.40 stat_simplified: 0 simplified 0 derived 0 given
% 55.42/7.40 stat_kept_cl: 19669
% 55.42/7.40 stat_built_cl: 24409
% 55.42/7.40 stat_hyperres_partial_cl: 0
% 55.42/7.40 stat_made_rewriters: 0
% 55.42/7.40 stat_backward_subsumed: 0
% 55.42/7.40 stat_propagated_subsumed: 0
% 55.42/7.40 stat_clsubs_attempted: 33956
% 55.42/7.40 stat_clsubs_fact_groundunit_found: 0
% 55.42/7.40 stat_clsubs_rule_groundunit_found: 83
% 55.42/7.40 stat_clsubs_top_meta_attempted: 418893
% 55.42/7.40 stat_clsubs_top_meta_failed: 384937
% 55.42/7.40 stat_clsubs_top_meta_nonpref_attempted: 418893
% 55.42/7.40 stat_clsubs_top_meta_nonpref_succeeded: 142784
% 55.42/7.40 stat_clsubs_top_meta_pref_attempted: 142784
% 55.42/7.40 stat_clsubs_top_meta_pref1_succeeded: 107459
% 55.42/7.40 stat_clsubs_top_meta_pref2_succeeded: 107459
% 55.42/7.40 stat_clsubs_top_meta_pref3_succeeded: 33956
% 55.42/7.40 stat_clsubs_top_meta_pref_succeeded: 33956
% 55.42/7.40 stat_clsubs_meta_attempted: 33956
% 55.42/7.40 stat_clsubs_meta_failed: 0
% 55.42/7.40 stat_clsubs_predsymbs_attempted: 0
% 55.42/7.40 stat_clsubs_unit_attempted: 33956
% 55.42/7.40 stat_clsubs_full_attempted: 0
% 55.42/7.40 stat_forwardsubs_attempted: 51273
% 55.42/7.40 stat_lit_hash_added: 21463
% 55.42/7.40 stat_lit_hash_computed: 77035
% 55.42/7.40 stat_lit_hash_match_found: 31686
% 55.42/7.40 stat_lit_hash_match_miss: 43556
% 55.42/7.40 stat_lit_hash_cut_ok: 0
% 55.42/7.40 stat_lit_strong_cut_ok: 1
% 55.42/7.40 stat_lit_hash_subsume_ok: 31603
% 55.42/7.40 clqueue els 10000000 used 1
% 55.42/7.40 clactive els 10000000 used 2371
% 55.42/7.40 clactivesubsume els 10000000 used 3553
% 55.42/7.40 queue_termbuf els 200000000 used 1982187
% 55.42/7.40 hyper_termbuf els 100000000 used 1
% 55.42/7.40 active_termbuf els 100000000 used 177291
% 55.42/7.40 varstack els 5000 last used 1
% 55.42/7.40 given_termbuf els 10000000 last used 1
% 55.42/7.40 simplified_termbuf els 10000000 last used 1
% 55.42/7.40 derived_termbuf els 10000000 last used 79
% 55.42/7.40 wr_mallocs: 122856
% 55.42/7.40 wr_callocs: 21
% 55.42/7.40 wr_reallocs: 6578
% 55.42/7.40 wr_frees: 2
% 55.42/7.40 wr_malloc_bytes: 4166698292
% 55.42/7.40 wr_calloc_bytes: 112065536
% 55.42/7.40 wr_realloc_bytes: 1092248
% 55.42/7.40 wr_realloc_freebytes: 0
% 55.42/7.40 ----------------------------------
%------------------------------------------------------------------------------