TSTP Solution File: GRP544-1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP544-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n021.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 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named identity)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
identity = divide(X,X),
inference(cnf_transformation,[],[identity]) ).
cnf('2',plain,
divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
inference(cnf_transformation,[],[single_axiom]) ).
cnf('3',plain,
inverse(X) = divide(identity,X),
inference(cnf_transformation,[],[inverse]) ).
cnf('4',plain,
divide(inverse(divide(divide(divide(X,Y),Z),X)),Z) = Y,
inference(simplify,[],['2','3']) ).
cnf('5',plain,
divide(inverse(divide(identity,X3)),divide(X3,Y3)) = Y3,
inference(paramodulation,[],['1','4']) ).
cnf('6',plain,
divide(inverse(inverse(X)),divide(X,Y)) = Y,
inference(simplify,[],['5','3']) ).
cnf('7',plain,
divide(inverse(divide(divide(identity,X3),Y3)),X3) = Y3,
inference(paramodulation,[],['1','4']) ).
cnf('8',plain,
divide(inverse(divide(inverse(X),Y)),X) = Y,
inference(simplify,[],['7','3']) ).
cnf('9',plain,
divide(inverse(X),divide(inverse(Y),X)) = Y,
inference(paramodulation,[],['8','8']) ).
cnf('10',plain,
divide(inverse(divide(X,Y)),Y) = inverse(X),
inference(paramodulation,[],['6','9']) ).
cnf('11',plain,
inverse(divide(divide(X,Y),X)) = Y,
inference(paramodulation,[],['10','4']) ).
cnf('12',plain,
divide(X,Y) = inverse(divide(Y,X)),
inference(paramodulation,[],['11','10']) ).
cnf('13',plain,
divide(divide(X3,inverse(Y3)),Y3) = X3,
inference(paramodulation,[],['12','8']) ).
cnf('14',plain,
multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(cnf_transformation,[],[multiply]) ).
cnf('15',plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference(simplify,[],['14','3']) ).
cnf('16',plain,
divide(multiply(X,Y),Y) = X,
inference(simplify,[],['13','15']) ).
cnf('17',plain,
inverse(inverse(X)) = X,
inference(paramodulation,[],['6','9']) ).
cnf('18',plain,
divide(X,divide(X,Y)) = Y,
inference(paramodulation,[],['17','6']) ).
cnf('19',plain,
divide(multiply(X,Y),X) = Y,
inference(paramodulation,[],['16','18']) ).
cnf('20',plain,
inverse(X) = divide(divide(Y,X),Y),
inference(paramodulation,[],['11','17']) ).
cnf('21',plain,
divide(divide(X3,Y3),inverse(Y3)) = X3,
inference(paramodulation,[],['20','18']) ).
cnf('22',plain,
multiply(divide(X,Y),Y) = X,
inference(simplify,[],['21','15']) ).
cnf('23',plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[],[prove_these_axioms_4]) ).
cnf('24',plain,
$false,
inference(paramodulation,[then_simplify],['19','22','23']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP544-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13 % Command : gkc %s
% 0.14/0.34 % Computer : n021.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 : Mon Aug 28 21:13:58 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.39
% 0.21/0.39 input clause set summed statistics:
% 0.21/0.39 ----------------------------------
% 0.21/0.39 in_clause_count: 5
% 0.21/0.39 in_rule_clause_count: 5
% 0.21/0.39 in_fact_clause_count: 0
% 0.21/0.39 in_answer_clause_count: 0
% 0.21/0.39 in_ground_clause_count: 1
% 0.21/0.39 in_unit_clause_count: 5
% 0.21/0.39 in_horn_clause_count: 5
% 0.21/0.39 in_pos_clause_count: 4
% 0.21/0.39 in_neg_clause_count: 1
% 0.21/0.39 in_poseq_clause_count: 4
% 0.21/0.39 in_negeq_clause_count: 1
% 0.21/0.39 in_unitposeq_clause_count: 4
% 0.21/0.39 in_chain_clause_count: 0
% 0.21/0.39 in_min_length: 1
% 0.21/0.39 in_max_length: 1
% 0.21/0.39 in_min_depth: 2
% 0.21/0.39 in_max_depth: 6
% 0.21/0.39 in_min_size: 5
% 0.21/0.39 in_max_size: 13
% 0.21/0.39 in_min_vars: 0
% 0.21/0.39 in_max_vars: 3
% 0.21/0.39 in_extaxiom_count: 0
% 0.21/0.39 in_axiom_count: 4
% 0.21/0.39 in_assumption_count: 0
% 0.21/0.39 in_goal_count: 1
% 0.21/0.39 in_neg_goal_count: 1
% 0.21/0.39 in_pos_goal_count: 0
% 0.21/0.39 in_posunit_goal_count: 0
% 0.21/0.39
% 0.21/0.39 auto guide:
% 0.21/0.39 -----------
% 0.21/0.39 {
% 0.21/0.39 "print":1,
% 0.21/0.39 "print_level": 15,
% 0.21/0.39 "max_size": 0,
% 0.21/0.39 "max_depth": 0,
% 0.21/0.39 "max_length": 0,
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% 0.21/0.39 "runs":[
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% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
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% 0.21/0.39 {"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},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.21/0.39 {"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},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
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% 0.21/0.39 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 2},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.21/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
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% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20},
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% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.21/0.39 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.21/0.39
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
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% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.21/0.39 {"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},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.21/0.39 {"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},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
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% 0.21/0.39 {"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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% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
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% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 0},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 1},
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% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.21/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
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% 0.21/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42
% 0.21/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.42
% 0.21/0.42 run 7 fork 6 statistics:
% 0.21/0.42 ----------------------------------
% 0.21/0.42 this run seconds: 0.011903
% 0.21/0.42 total seconds: 0.032701
% 0.21/0.42 stat_given_used: 32
% 0.21/0.42 stat_given_used_at_endgame: 0
% 0.21/0.42 stat_given_candidates: 140
% 0.21/0.42 stat_given_candidates_at_endgame: 0
% 0.21/0.42 stat_given_candidates_h: 0
% 0.21/0.42 stat_binres_derived_cl: 0
% 0.21/0.42 stat_binres_derived_cl_h: 0
% 0.21/0.42 stat_factor_derived_cl: 0
% 0.21/0.42 stat_para_derived_cl: 515
% 0.21/0.42 stat_tautologies_discarded: 0
% 0.21/0.42 stat_forward_subsumed: 96
% 0.21/0.42 stat_derived_cut: 1
% 0.21/0.42 stat_derived_rewritten: 8
% 0.21/0.42 stat_weight_discarded_building: 0
% 0.21/0.42 stat_weight_discarded_cl: 0
% 0.21/0.42 stat_internlimit_discarded_cl: 0
% 0.21/0.42 stat_simplified: 8 simplified 0 derived 0 given
% 0.21/0.42 stat_kept_cl: 337
% 0.21/0.42 stat_built_cl: 409
% 0.21/0.42 stat_hyperres_partial_cl: 0
% 0.21/0.42 stat_made_rewriters: 31
% 0.21/0.42 stat_backward_subsumed: 0
% 0.21/0.42 stat_propagated_subsumed: 0
% 0.21/0.42 stat_clsubs_attempted: 27
% 0.21/0.42 stat_clsubs_fact_groundunit_found: 0
% 0.21/0.42 stat_clsubs_rule_groundunit_found: 1
% 0.21/0.42 stat_clsubs_top_meta_attempted: 412
% 0.21/0.42 stat_clsubs_top_meta_failed: 385
% 0.21/0.42 stat_clsubs_top_meta_nonpref_attempted: 412
% 0.21/0.42 stat_clsubs_top_meta_nonpref_succeeded: 169
% 0.21/0.42 stat_clsubs_top_meta_pref_attempted: 169
% 0.21/0.42 stat_clsubs_top_meta_pref1_succeeded: 169
% 0.21/0.42 stat_clsubs_top_meta_pref2_succeeded: 55
% 0.21/0.42 stat_clsubs_top_meta_pref3_succeeded: 27
% 0.21/0.42 stat_clsubs_top_meta_pref_succeeded: 27
% 0.21/0.42 stat_clsubs_meta_attempted: 27
% 0.21/0.42 stat_clsubs_meta_failed: 3
% 0.21/0.42 stat_clsubs_predsymbs_attempted: 0
% 0.21/0.42 stat_clsubs_unit_attempted: 27
% 0.21/0.42 stat_clsubs_full_attempted: 0
% 0.21/0.42 stat_forwardsubs_attempted: 434
% 0.21/0.42 stat_lit_hash_added: 345
% 0.21/0.42 stat_lit_hash_computed: 816
% 0.21/0.42 stat_lit_hash_match_found: 97
% 0.21/0.42 stat_lit_hash_match_miss: 720
% 0.21/0.42 stat_lit_hash_cut_ok: 0
% 0.21/0.42 stat_lit_strong_cut_ok: 1
% 0.21/0.42 stat_lit_hash_subsume_ok: 96
% 0.21/0.42 clqueue els 10000000 used 1
% 0.21/0.42 clactive els 10000000 used 33
% 0.21/0.42 clactivesubsume els 10000000 used 175
% 0.21/0.42 queue_termbuf els 200000000 used 17695
% 0.21/0.42 hyper_termbuf els 100000000 used 1
% 0.21/0.42 active_termbuf els 100000000 used 979
% 0.21/0.42 varstack els 5000 last used 1
% 0.21/0.42 given_termbuf els 10000000 last used 1
% 0.21/0.42 simplified_termbuf els 10000000 last used 1
% 0.21/0.42 derived_termbuf els 10000000 last used 10
% 0.21/0.42 wr_mallocs: 1601
% 0.21/0.42 wr_callocs: 21
% 0.21/0.42 wr_reallocs: 38
% 0.21/0.42 wr_frees: 2
% 0.21/0.42 wr_malloc_bytes: 4162634228
% 0.21/0.42 wr_calloc_bytes: 112065536
% 0.21/0.42 wr_realloc_bytes: 6856
% 0.21/0.42 wr_realloc_freebytes: 0
% 0.21/0.42 ----------------------------------
%------------------------------------------------------------------------------