TSTP Solution File: GRP561-1 by GKC---0.8
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%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP561-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n025.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 00:54:46 EDT 2023
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% 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(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
inference(cnf_transformation,[],[single_axiom]) ).
cnf('3',plain,
divide(divide(multiply(X,Y),Z),divide(X,Z)) = Y,
inference(simplify,[],['2','1']) ).
cnf('4',plain,
divide(multiply(multiply(X3,Y3),Z3),divide(X3,inverse(Z3))) = Y3,
inference(paramodulation,[],['1','3']) ).
cnf('5',plain,
divide(multiply(multiply(X,Y),Z),multiply(X,Z)) = Y,
inference(simplify,[],['4','1']) ).
cnf('6',plain,
divide(X,divide(multiply(Y,X),multiply(Y,Z))) = Z,
inference(paramodulation,[],['5','3']) ).
cnf('7',plain,
divide(divide(multiply(X,Y),divide(multiply(Z,X),multiply(Z,U))),U) = Y,
inference(paramodulation,[],['6','3']) ).
cnf('8',plain,
multiply(divide(multiply(X,Y),divide(multiply(Z,X),multiply(Z,inverse(U)))),U) = Y,
inference(paramodulation,[],['7','1']) ).
cnf('9',plain,
divide(divide(multiply(divide(multiply(X,Y),Z),U),divide(X,Z)),Y) = U,
inference(paramodulation,[],['3','3']) ).
cnf('10',plain,
divide(divide(X3,divide(Y3,divide(multiply(Z3,Y3),multiply(Z3,inverse(U3))))),X3) = U3,
inference(paramodulation,[],['8','9']) ).
cnf('11',plain,
divide(multiply(X,Y),X) = Y,
inference(simplify,[then_simplify],['10','6','1']) ).
cnf('12',plain,
divide(X,divide(Y,Y)) = X,
inference(paramodulation,[],['11','3']) ).
cnf('13',plain,
divide(X,multiply(inverse(Y),Y)) = X,
inference(paramodulation,[],['1','12']) ).
cnf('14',plain,
multiply(multiply(inverse(X),Y),X) = Y,
inference(paramodulation,[],['11','1']) ).
cnf('15',plain,
divide(X,multiply(inverse(Y),X)) = Y,
inference(paramodulation,[],['14','11']) ).
cnf('16',plain,
divide(X,Y) = multiply(inverse(Y),X),
inference(paramodulation,[],['15','6']) ).
cnf('17',plain,
divide(X,divide(X,Y)) = Y,
inference(paramodulation,[],['16','15']) ).
cnf('18',plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[],[prove_these_axioms_1]) ).
cnf('19',plain,
divide(a1,a1) != multiply(inverse(b1),b1),
inference(paramodulation,[],['16','18']) ).
cnf('20',plain,
$false,
inference(paramodulation,[then_simplify],['13','17','19']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP561-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.12 % Command : gkc %s
% 0.12/0.33 % Computer : n025.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 01:11:39 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.20/0.38
% 0.20/0.38 input clause set summed statistics:
% 0.20/0.38 ----------------------------------
% 0.20/0.38 in_clause_count: 3
% 0.20/0.38 in_rule_clause_count: 3
% 0.20/0.38 in_fact_clause_count: 0
% 0.20/0.38 in_answer_clause_count: 0
% 0.20/0.38 in_ground_clause_count: 1
% 0.20/0.38 in_unit_clause_count: 3
% 0.20/0.38 in_horn_clause_count: 3
% 0.20/0.38 in_pos_clause_count: 2
% 0.20/0.38 in_neg_clause_count: 1
% 0.20/0.38 in_poseq_clause_count: 2
% 0.20/0.38 in_negeq_clause_count: 1
% 0.20/0.38 in_unitposeq_clause_count: 2
% 0.20/0.38 in_chain_clause_count: 0
% 0.20/0.38 in_min_length: 1
% 0.20/0.38 in_max_length: 1
% 0.20/0.38 in_min_depth: 3
% 0.20/0.38 in_max_depth: 5
% 0.20/0.38 in_min_size: 8
% 0.20/0.38 in_max_size: 12
% 0.20/0.38 in_min_vars: 0
% 0.20/0.38 in_max_vars: 3
% 0.20/0.38 in_extaxiom_count: 0
% 0.20/0.38 in_axiom_count: 2
% 0.20/0.38 in_assumption_count: 0
% 0.20/0.38 in_goal_count: 1
% 0.20/0.38 in_neg_goal_count: 1
% 0.20/0.38 in_pos_goal_count: 0
% 0.20/0.38 in_posunit_goal_count: 0
% 0.20/0.38
% 0.20/0.38 auto guide:
% 0.20/0.38 -----------
% 0.20/0.38 {
% 0.20/0.38 "print":1,
% 0.20/0.38 "print_level": 15,
% 0.20/0.38 "max_size": 0,
% 0.20/0.38 "max_depth": 0,
% 0.20/0.38 "max_length": 0,
% 0.20/0.38 "max_dseconds": 0,
% 0.20/0.38 "runs":[
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% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0},
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% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
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% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
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% 0.20/0.38 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.20/0.38 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.20/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.20/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.20/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.20/0.38 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.20/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.20/0.38
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% 0.20/0.38 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.20/0.38 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.20/0.38 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
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% 0.20/0.38 {"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},
% 0.20/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.20/0.38 {"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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% 0.20/0.38
% 0.20/0.38 **** run 1 fork 0 starts with strategy
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% 0.20/0.38 **** run 2 fork 1 starts with strategy
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% 0.20/0.38
% 0.20/0.38 **** run 3 fork 2 starts with strategy
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% 0.20/0.38
% 0.20/0.38 **** run 4 fork 3 starts with strategy
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% 0.20/0.38
% 0.20/0.38 **** run 5 fork 4 starts with strategy
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% 0.20/0.38
% 0.20/0.38 **** run 6 fork 5 starts with strategy
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% 0.20/0.38
% 0.20/0.38 **** run 7 fork 6 starts with strategy
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% 0.20/0.39
% 0.20/0.39 **** run 8 fork 7 starts with strategy
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% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 result: proof found
% 0.20/0.43 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.43 by run 8 fork 7 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.20/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.43
% 0.20/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.43
% 0.20/0.43 run 8 fork 7 statistics:
% 0.20/0.43 ----------------------------------
% 0.20/0.43 this run seconds: 0.012945
% 0.20/0.43 total seconds: 0.033291
% 0.20/0.43 stat_given_used: 22
% 0.20/0.43 stat_given_used_at_endgame: 0
% 0.20/0.43 stat_given_candidates: 32
% 0.20/0.43 stat_given_candidates_at_endgame: 0
% 0.20/0.43 stat_given_candidates_h: 0
% 0.20/0.43 stat_binres_derived_cl: 0
% 0.20/0.43 stat_binres_derived_cl_h: 0
% 0.20/0.43 stat_factor_derived_cl: 0
% 0.20/0.43 stat_para_derived_cl: 367
% 0.20/0.43 stat_tautologies_discarded: 0
% 0.20/0.43 stat_forward_subsumed: 43
% 0.20/0.43 stat_derived_cut: 1
% 0.20/0.43 stat_derived_rewritten: 4
% 0.20/0.43 stat_weight_discarded_building: 0
% 0.20/0.43 stat_weight_discarded_cl: 0
% 0.20/0.43 stat_internlimit_discarded_cl: 0
% 0.20/0.43 stat_simplified: 4 simplified 0 derived 0 given
% 0.20/0.43 stat_kept_cl: 272
% 0.20/0.43 stat_built_cl: 320
% 0.20/0.43 stat_hyperres_partial_cl: 0
% 0.20/0.43 stat_made_rewriters: 20
% 0.20/0.43 stat_backward_subsumed: 0
% 0.20/0.43 stat_propagated_subsumed: 0
% 0.20/0.43 stat_clsubs_attempted: 24
% 0.20/0.43 stat_clsubs_fact_groundunit_found: 0
% 0.20/0.43 stat_clsubs_rule_groundunit_found: 1
% 0.20/0.43 stat_clsubs_top_meta_attempted: 209
% 0.20/0.43 stat_clsubs_top_meta_failed: 185
% 0.20/0.43 stat_clsubs_top_meta_nonpref_attempted: 209
% 0.20/0.43 stat_clsubs_top_meta_nonpref_succeeded: 66
% 0.20/0.43 stat_clsubs_top_meta_pref_attempted: 66
% 0.20/0.43 stat_clsubs_top_meta_pref1_succeeded: 66
% 0.20/0.43 stat_clsubs_top_meta_pref2_succeeded: 30
% 0.20/0.43 stat_clsubs_top_meta_pref3_succeeded: 24
% 0.20/0.43 stat_clsubs_top_meta_pref_succeeded: 24
% 0.20/0.43 stat_clsubs_meta_attempted: 24
% 0.20/0.43 stat_clsubs_meta_failed: 2
% 0.20/0.43 stat_clsubs_predsymbs_attempted: 0
% 0.20/0.43 stat_clsubs_unit_attempted: 24
% 0.20/0.43 stat_clsubs_full_attempted: 0
% 0.20/0.43 stat_forwardsubs_attempted: 316
% 0.20/0.43 stat_lit_hash_added: 277
% 0.20/0.43 stat_lit_hash_computed: 619
% 0.20/0.43 stat_lit_hash_match_found: 44
% 0.20/0.43 stat_lit_hash_match_miss: 575
% 0.20/0.43 stat_lit_hash_cut_ok: 0
% 0.20/0.43 stat_lit_strong_cut_ok: 1
% 0.20/0.43 stat_lit_hash_subsume_ok: 43
% 0.20/0.43 clqueue els 10000000 used 1
% 0.20/0.43 clactive els 10000000 used 23
% 0.20/0.43 clactivesubsume els 10000000 used 121
% 0.20/0.43 queue_termbuf els 200000000 used 20689
% 0.20/0.43 hyper_termbuf els 100000000 used 1
% 0.20/0.43 active_termbuf els 100000000 used 899
% 0.20/0.43 varstack els 5000 last used 1
% 0.20/0.43 given_termbuf els 10000000 last used 1
% 0.20/0.43 simplified_termbuf els 10000000 last used 1
% 0.20/0.43 derived_termbuf els 10000000 last used 10
% 0.20/0.43 wr_mallocs: 1306
% 0.20/0.43 wr_callocs: 21
% 0.20/0.43 wr_reallocs: 14
% 0.20/0.43 wr_frees: 2
% 0.20/0.43 wr_malloc_bytes: 4162624708
% 0.20/0.43 wr_calloc_bytes: 112065536
% 0.20/0.43 wr_realloc_bytes: 2176
% 0.20/0.43 wr_realloc_freebytes: 0
% 0.20/0.43 ----------------------------------
%------------------------------------------------------------------------------