TSTP Solution File: GRP557-1 by GKC---0.8
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%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP557-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n006.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 00:54:45 EDT 2023
% Result : Unsatisfiable 0.17s 0.40s
% Output : CNFRefutation 0.17s
% 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(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
inference(cnf_transformation,[],[single_axiom]) ).
cnf('3',plain,
multiply(X,divide(divide(Y,Z),divide(X,Z))) = Y,
inference(simplify,[],['2','1']) ).
cnf('4',plain,
multiply(X3,divide(multiply(Y3,Z3),divide(X3,inverse(Z3)))) = Y3,
inference(paramodulation,[],['1','3']) ).
cnf('5',plain,
multiply(X,divide(multiply(Y,Z),multiply(X,Z))) = Y,
inference(simplify,[],['4','1']) ).
cnf('6',plain,
multiply(X,divide(multiply(Y,divide(multiply(Z,U),multiply(X,U))),Z)) = Y,
inference(paramodulation,[],['5','5']) ).
cnf('7',plain,
multiply(X,divide(Y,Y)) = X,
inference(paramodulation,[],['5','6']) ).
cnf('8',plain,
multiply(X,divide(Y,X)) = Y,
inference(paramodulation,[],['7','6']) ).
cnf('9',plain,
multiply(inverse(X),multiply(Y,X)) = Y,
inference(paramodulation,[],['1','8']) ).
cnf('10',plain,
multiply(inverse(divide(X,Y)),X) = Y,
inference(paramodulation,[],['8','9']) ).
cnf('11',plain,
X = inverse(divide(divide(Y,Y),X)),
inference(paramodulation,[],['10','7']) ).
cnf('12',plain,
multiply(X,divide(divide(Y,Y),Z)) = divide(X,Z),
inference(paramodulation,[],['11','1']) ).
cnf('13',plain,
divide(X,divide(X,Y)) = Y,
inference(paramodulation,[],['12','3']) ).
cnf('14',plain,
multiply(inverse(X),Y) = inverse(divide(X,Y)),
inference(paramodulation,[],['10','9']) ).
cnf('15',plain,
inverse(divide(divide(X,Y),X)) = Y,
inference(paramodulation,[],['14','10']) ).
cnf('16',plain,
inverse(divide(X,Y)) = divide(Y,X),
inference(paramodulation,[],['13','15']) ).
cnf('17',plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[],[prove_these_axioms_1]) ).
cnf('18',plain,
inverse(divide(a1,a1)) != inverse(divide(b1,b1)),
inference(simplify,[then_simplify],['17','14','14']) ).
cnf('19',plain,
divide(X,divide(Y,Y)) = X,
inference(paramodulation,[],['12','7']) ).
cnf('20',plain,
inverse(divide(X3,X3)) = divide(Y3,Y3),
inference(paramodulation,[],['19','15']) ).
cnf('21',plain,
$false,
inference(paramodulation,[then_simplify],['16','18','20']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP557-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.12 % Command : gkc %s
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 23:42:06 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.37
% 0.17/0.37 input clause set summed statistics:
% 0.17/0.37 ----------------------------------
% 0.17/0.37 in_clause_count: 3
% 0.17/0.37 in_rule_clause_count: 3
% 0.17/0.37 in_fact_clause_count: 0
% 0.17/0.37 in_answer_clause_count: 0
% 0.17/0.37 in_ground_clause_count: 1
% 0.17/0.37 in_unit_clause_count: 3
% 0.17/0.37 in_horn_clause_count: 3
% 0.17/0.37 in_pos_clause_count: 2
% 0.17/0.37 in_neg_clause_count: 1
% 0.17/0.37 in_poseq_clause_count: 2
% 0.17/0.37 in_negeq_clause_count: 1
% 0.17/0.37 in_unitposeq_clause_count: 2
% 0.17/0.37 in_chain_clause_count: 0
% 0.17/0.37 in_min_length: 1
% 0.17/0.37 in_max_length: 1
% 0.17/0.37 in_min_depth: 3
% 0.17/0.37 in_max_depth: 5
% 0.17/0.37 in_min_size: 8
% 0.17/0.37 in_max_size: 12
% 0.17/0.37 in_min_vars: 0
% 0.17/0.37 in_max_vars: 3
% 0.17/0.37 in_extaxiom_count: 0
% 0.17/0.37 in_axiom_count: 2
% 0.17/0.37 in_assumption_count: 0
% 0.17/0.37 in_goal_count: 1
% 0.17/0.37 in_neg_goal_count: 1
% 0.17/0.37 in_pos_goal_count: 0
% 0.17/0.37 in_posunit_goal_count: 0
% 0.17/0.37
% 0.17/0.37 auto guide:
% 0.17/0.37 -----------
% 0.17/0.37 {
% 0.17/0.37 "print":1,
% 0.17/0.37 "print_level": 15,
% 0.17/0.37 "max_size": 0,
% 0.17/0.37 "max_depth": 0,
% 0.17/0.37 "max_length": 0,
% 0.17/0.37 "max_dseconds": 0,
% 0.17/0.37 "runs":[
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
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% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.17/0.37 {"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},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.17/0.37 {"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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% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
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% 0.17/0.37 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.17/0.37 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
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% 0.17/0.37 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.17/0.37 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.17/0.37 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.17/0.37 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
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% 0.17/0.37 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.17/0.37 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.17/0.37
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% 0.17/0.37 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.17/0.37 {"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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% 0.17/0.37 **** run 1 fork 0 starts with strategy
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% 0.17/0.37 **** run 2 fork 1 starts with strategy
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% 0.17/0.37
% 0.17/0.37 **** run 3 fork 2 starts with strategy
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% 0.17/0.37
% 0.17/0.37 **** run 4 fork 3 starts with strategy
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% 0.17/0.37
% 0.17/0.37 **** run 5 fork 4 starts with strategy
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% 0.17/0.37
% 0.17/0.37 **** run 6 fork 5 starts with strategy
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% 0.17/0.37
% 0.17/0.37 **** run 7 fork 6 starts with strategy
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% 0.17/0.37
% 0.17/0.37 **** run 8 fork 7 starts with strategy
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% 0.17/0.40
% 0.17/0.40
% 0.17/0.40 result: proof found
% 0.17/0.40 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.40 by run 4 fork 3 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.17/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.40
% 0.17/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.17/0.40
% 0.17/0.40 run 4 fork 3 statistics:
% 0.17/0.40 ----------------------------------
% 0.17/0.40 this run seconds: 0.011611
% 0.17/0.40 total seconds: 0.030033
% 0.17/0.40 stat_given_used: 26
% 0.17/0.40 stat_given_used_at_endgame: 0
% 0.17/0.40 stat_given_candidates: 49
% 0.17/0.40 stat_given_candidates_at_endgame: 0
% 0.17/0.40 stat_given_candidates_h: 0
% 0.17/0.40 stat_binres_derived_cl: 0
% 0.17/0.40 stat_binres_derived_cl_h: 0
% 0.17/0.40 stat_factor_derived_cl: 0
% 0.17/0.40 stat_para_derived_cl: 439
% 0.17/0.40 stat_tautologies_discarded: 0
% 0.17/0.40 stat_forward_subsumed: 79
% 0.17/0.40 stat_derived_cut: 1
% 0.17/0.40 stat_derived_rewritten: 3
% 0.17/0.40 stat_weight_discarded_building: 0
% 0.17/0.40 stat_weight_discarded_cl: 0
% 0.17/0.40 stat_internlimit_discarded_cl: 0
% 0.17/0.40 stat_simplified: 3 simplified 0 derived 0 given
% 0.17/0.40 stat_kept_cl: 284
% 0.17/0.40 stat_built_cl: 339
% 0.17/0.40 stat_hyperres_partial_cl: 0
% 0.17/0.40 stat_made_rewriters: 24
% 0.17/0.40 stat_backward_subsumed: 0
% 0.17/0.40 stat_propagated_subsumed: 0
% 0.17/0.40 stat_clsubs_attempted: 59
% 0.17/0.40 stat_clsubs_fact_groundunit_found: 0
% 0.17/0.40 stat_clsubs_rule_groundunit_found: 0
% 0.17/0.40 stat_clsubs_top_meta_attempted: 295
% 0.17/0.40 stat_clsubs_top_meta_failed: 236
% 0.17/0.40 stat_clsubs_top_meta_nonpref_attempted: 295
% 0.17/0.40 stat_clsubs_top_meta_nonpref_succeeded: 115
% 0.17/0.40 stat_clsubs_top_meta_pref_attempted: 115
% 0.17/0.40 stat_clsubs_top_meta_pref1_succeeded: 110
% 0.17/0.40 stat_clsubs_top_meta_pref2_succeeded: 59
% 0.17/0.40 stat_clsubs_top_meta_pref3_succeeded: 59
% 0.17/0.40 stat_clsubs_top_meta_pref_succeeded: 59
% 0.17/0.40 stat_clsubs_meta_attempted: 59
% 0.17/0.40 stat_clsubs_meta_failed: 1
% 0.17/0.40 stat_clsubs_predsymbs_attempted: 0
% 0.17/0.40 stat_clsubs_unit_attempted: 59
% 0.17/0.40 stat_clsubs_full_attempted: 0
% 0.17/0.40 stat_forwardsubs_attempted: 364
% 0.17/0.40 stat_lit_hash_added: 289
% 0.17/0.40 stat_lit_hash_computed: 683
% 0.17/0.40 stat_lit_hash_match_found: 81
% 0.17/0.40 stat_lit_hash_match_miss: 601
% 0.17/0.40 stat_lit_hash_cut_ok: 0
% 0.17/0.40 stat_lit_strong_cut_ok: 1
% 0.17/0.40 stat_lit_hash_subsume_ok: 79
% 0.17/0.40 clqueue els 10000000 used 1
% 0.17/0.40 clactive els 10000000 used 27
% 0.17/0.40 clactivesubsume els 10000000 used 145
% 0.17/0.40 queue_termbuf els 200000000 used 17106
% 0.17/0.40 hyper_termbuf els 100000000 used 1
% 0.17/0.40 active_termbuf els 100000000 used 913
% 0.17/0.40 varstack els 5000 last used 1
% 0.17/0.40 given_termbuf els 10000000 last used 1
% 0.17/0.40 simplified_termbuf els 10000000 last used 1
% 0.17/0.40 derived_termbuf els 10000000 last used 43
% 0.17/0.40 wr_mallocs: 1261
% 0.17/0.40 wr_callocs: 21
% 0.17/0.40 wr_reallocs: 28
% 0.17/0.40 wr_frees: 2
% 0.17/0.40 wr_malloc_bytes: 4162623220
% 0.17/0.40 wr_calloc_bytes: 112065536
% 0.17/0.40 wr_realloc_bytes: 3992
% 0.17/0.40 wr_realloc_freebytes: 0
% 0.17/0.40 ----------------------------------
%------------------------------------------------------------------------------