TSTP Solution File: GRP542-1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP542-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n026.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 00:54:41 EDT 2023
% Result : Unsatisfiable 0.18s 0.41s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named inverse)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
inverse(X) = divide(identity,X),
inference(cnf_transformation,[],[inverse]) ).
cnf('2',plain,
identity = divide(X,X),
inference(cnf_transformation,[],[identity]) ).
cnf('3',plain,
identity = inverse(identity),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
inference(cnf_transformation,[],[single_axiom]) ).
cnf('5',plain,
divide(inverse(divide(divide(divide(X,Y),Z),X)),Z) = Y,
inference(simplify,[],['4','1']) ).
cnf('6',plain,
divide(inverse(divide(identity,X3)),divide(X3,Y3)) = Y3,
inference(paramodulation,[],['2','5']) ).
cnf('7',plain,
divide(inverse(inverse(X)),divide(X,Y)) = Y,
inference(simplify,[],['6','1']) ).
cnf('8',plain,
divide(inverse(identity),divide(identity,X3)) = X3,
inference(paramodulation,[],['3','7']) ).
cnf('9',plain,
multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(cnf_transformation,[],[multiply]) ).
cnf('10',plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference(simplify,[],['9','1']) ).
cnf('11',plain,
inverse(inverse(X)) = multiply(identity,X),
inference(paramodulation,[],['10','1']) ).
cnf('12',plain,
inverse(inverse(X)) = X,
inference(simplify,[then_simplify],['8','3','1','10','11']) ).
cnf('13',plain,
identity = multiply(inverse(X),X),
inference(paramodulation,[],['10','2']) ).
cnf('14',plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[],[prove_these_axioms_2]) ).
cnf('15',plain,
multiply(identity,a2) != a2,
inference(paramodulation,[],['13','14']) ).
cnf('16',plain,
inverse(inverse(a2)) != a2,
inference(simplify,[],['15','11']) ).
cnf('17',plain,
$false,
inference(resolution,[],['12','16']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP542-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.12 % Command : gkc %s
% 0.12/0.33 % Computer : n026.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 01:42:05 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.40
% 0.18/0.40 input clause set summed statistics:
% 0.18/0.40 ----------------------------------
% 0.18/0.40 in_clause_count: 5
% 0.18/0.40 in_rule_clause_count: 5
% 0.18/0.40 in_fact_clause_count: 0
% 0.18/0.40 in_answer_clause_count: 0
% 0.18/0.40 in_ground_clause_count: 1
% 0.18/0.40 in_unit_clause_count: 5
% 0.18/0.40 in_horn_clause_count: 5
% 0.18/0.40 in_pos_clause_count: 4
% 0.18/0.40 in_neg_clause_count: 1
% 0.18/0.40 in_poseq_clause_count: 4
% 0.18/0.40 in_negeq_clause_count: 1
% 0.18/0.40 in_unitposeq_clause_count: 4
% 0.18/0.40 in_chain_clause_count: 0
% 0.18/0.40 in_min_length: 1
% 0.18/0.40 in_max_length: 1
% 0.18/0.40 in_min_depth: 2
% 0.18/0.40 in_max_depth: 6
% 0.18/0.40 in_min_size: 5
% 0.18/0.40 in_max_size: 13
% 0.18/0.40 in_min_vars: 0
% 0.18/0.40 in_max_vars: 3
% 0.18/0.40 in_extaxiom_count: 0
% 0.18/0.40 in_axiom_count: 4
% 0.18/0.40 in_assumption_count: 0
% 0.18/0.40 in_goal_count: 1
% 0.18/0.40 in_neg_goal_count: 1
% 0.18/0.40 in_pos_goal_count: 0
% 0.18/0.40 in_posunit_goal_count: 0
% 0.18/0.40
% 0.18/0.40 auto guide:
% 0.18/0.40 -----------
% 0.18/0.40 {
% 0.18/0.40 "print":1,
% 0.18/0.40 "print_level": 15,
% 0.18/0.40 "max_size": 0,
% 0.18/0.40 "max_depth": 0,
% 0.18/0.40 "max_length": 0,
% 0.18/0.40 "max_dseconds": 0,
% 0.18/0.40 "runs":[
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% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
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% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
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% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.18/0.40 {"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},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
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% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
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% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
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% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.18/0.40 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
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% 0.18/0.40 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.18/0.40 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.18/0.40 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.18/0.40 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
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% 0.18/0.40 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
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% 0.18/0.40
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% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
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% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.18/0.40 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.18/0.40
% 0.18/0.40 ]}
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 **** run 1 fork 0 starts with strategy
% 0.18/0.40 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.18/0.40
% 0.18/0.40 **** run 2 fork 1 starts with strategy
% 0.18/0.40 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.18/0.41
% 0.18/0.41 **** run 3 fork 2 starts with strategy
% 0.18/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.18/0.41
% 0.18/0.41 **** run 4 fork 3 starts with strategy
% 0.18/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.18/0.41
% 0.18/0.41 **** run 5 fork 4 starts with strategy
% 0.18/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.18/0.41
% 0.18/0.41 **** run 6 fork 5 starts with strategy
% 0.18/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 result: proof found
% 0.18/0.41 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 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}
% 0.18/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.41
% 0.18/0.41 run 5 fork 4 statistics:
% 0.18/0.41 ----------------------------------
% 0.18/0.41 this run seconds: 0.001038
% 0.18/0.41 total seconds: 0.002816
% 0.18/0.41 stat_given_used: 13
% 0.18/0.41 stat_given_used_at_endgame: 0
% 0.18/0.41 stat_given_candidates: 28
% 0.18/0.41 stat_given_candidates_at_endgame: 0
% 0.18/0.41 stat_given_candidates_h: 0
% 0.18/0.41 stat_binres_derived_cl: 1
% 0.18/0.41 stat_binres_derived_cl_h: 0
% 0.18/0.41 stat_factor_derived_cl: 0
% 0.18/0.41 stat_para_derived_cl: 67
% 0.18/0.41 stat_tautologies_discarded: 0
% 0.18/0.41 stat_forward_subsumed: 7
% 0.18/0.41 stat_derived_cut: 0
% 0.18/0.41 stat_derived_rewritten: 5
% 0.18/0.41 stat_weight_discarded_building: 0
% 0.18/0.41 stat_weight_discarded_cl: 0
% 0.18/0.41 stat_internlimit_discarded_cl: 0
% 0.18/0.41 stat_simplified: 5 simplified 0 derived 0 given
% 0.18/0.41 stat_kept_cl: 40
% 0.18/0.41 stat_built_cl: 71
% 0.18/0.41 stat_hyperres_partial_cl: 0
% 0.18/0.41 stat_made_rewriters: 11
% 0.18/0.41 stat_backward_subsumed: 0
% 0.18/0.41 stat_propagated_subsumed: 0
% 0.18/0.41 stat_clsubs_attempted: 1
% 0.18/0.41 stat_clsubs_fact_groundunit_found: 0
% 0.18/0.41 stat_clsubs_rule_groundunit_found: 0
% 0.18/0.41 stat_clsubs_top_meta_attempted: 48
% 0.18/0.41 stat_clsubs_top_meta_failed: 47
% 0.18/0.41 stat_clsubs_top_meta_nonpref_attempted: 48
% 0.18/0.41 stat_clsubs_top_meta_nonpref_succeeded: 22
% 0.18/0.41 stat_clsubs_top_meta_pref_attempted: 22
% 0.18/0.41 stat_clsubs_top_meta_pref1_succeeded: 21
% 0.18/0.41 stat_clsubs_top_meta_pref2_succeeded: 7
% 0.18/0.41 stat_clsubs_top_meta_pref3_succeeded: 1
% 0.18/0.41 stat_clsubs_top_meta_pref_succeeded: 1
% 0.18/0.41 stat_clsubs_meta_attempted: 1
% 0.18/0.41 stat_clsubs_meta_failed: 0
% 0.18/0.41 stat_clsubs_predsymbs_attempted: 0
% 0.18/0.41 stat_clsubs_unit_attempted: 1
% 0.18/0.41 stat_clsubs_full_attempted: 0
% 0.18/0.41 stat_forwardsubs_attempted: 47
% 0.18/0.41 stat_lit_hash_added: 49
% 0.18/0.41 stat_lit_hash_computed: 113
% 0.18/0.41 stat_lit_hash_match_found: 7
% 0.18/0.41
% 0.18/0.41 **** run 7 fork 6 starts with strategy
% 0.18/0.41 stat_lit_hash_match_miss: 102
% 0.18/0.41 stat_lit_hash_cut_ok: 0
% 0.18/0.41 stat_lit_strong_cut_ok: 0
% 0.18/0.41 stat_lit_hash_subsume_ok: 7
% 0.18/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.18/0.41 clqueue els 10000000 used 1
% 0.18/0.41 clactive els 10000000 used 14
% 0.18/0.41 clactivesubsume els 10000000 used 55
% 0.18/0.41 queue_termbuf els 200000000 used 2482
% 0.18/0.41 hyper_termbuf els 100000000 used 1
% 0.18/0.41 active_termbuf els 100000000 used 384
% 0.18/0.41 varstack els 5000 last used 1
% 0.18/0.41 given_termbuf els 10000000 last used 26
% 0.18/0.41 simplified_termbuf els 10000000 last used 1
% 0.18/0.41 derived_termbuf els 10000000 last used 3
% 0.18/0.41 wr_mallocs: 395
% 0.18/0.41 wr_callocs: 21
% 0.18/0.41 wr_reallocs: 0
% 0.18/0.41 wr_frees: 2
% 0.18/0.41 wr_malloc_bytes: 4162591332
% 0.18/0.41 wr_calloc_bytes: 112065536
% 0.18/0.41 wr_realloc_bytes: 0
% 0.18/0.41 wr_realloc_freebytes: 0
% 0.18/0.41 ----------------------------------
% 0.18/0.41
% 0.18/0.41 **** run 8 fork 7 starts with strategy
% 0.18/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
%------------------------------------------------------------------------------