TSTP Solution File: GRP586-1 by GKC---0.8
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%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP586-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n031.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 00:54:52 EDT 2023
% Result : Unsatisfiable 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named single_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
inference(cnf_transformation,[],[single_axiom]) ).
cnf('2',plain,
multiply(X,Y) = inverse(double_divide(Y,X)),
inference(cnf_transformation,[],[multiply]) ).
cnf('3',plain,
double_divide(X,multiply(Y,multiply(inverse(Z),double_divide(X,Y)))) = Z,
inference(simplify,[then_simplify],['1','2','2']) ).
cnf('4',plain,
multiply(multiply(X,multiply(inverse(Y),double_divide(Z,X))),Z) = inverse(Y),
inference(paramodulation,[],['3','2']) ).
cnf('5',plain,
double_divide(X,multiply(multiply(Y,multiply(inverse(Z),double_divide(X,Y))),multiply(inverse(U),Z))) = U,
inference(paramodulation,[],['3','3']) ).
cnf('6',plain,
double_divide(multiply(inverse(X),Y),inverse(Y)) = X,
inference(paramodulation,[],['4','5']) ).
cnf('7',plain,
multiply(inverse(X),multiply(inverse(Y),X)) = inverse(Y),
inference(paramodulation,[],['6','2']) ).
cnf('8',plain,
multiply(inverse(multiply(inverse(X),Y)),inverse(X)) = inverse(Y),
inference(paramodulation,[],['7','7']) ).
cnf('9',plain,
multiply(inverse(inverse(X)),inverse(Y)) = inverse(multiply(inverse(X),Y)),
inference(paramodulation,[],['8','7']) ).
cnf('10',plain,
multiply(inverse(X3),multiply(multiply(Y3,Z3),X3)) = inverse(double_divide(Z3,Y3)),
inference(paramodulation,[],['2','7']) ).
cnf('11',plain,
multiply(inverse(X),multiply(multiply(Y,Z),X)) = multiply(Y,Z),
inference(simplify,[],['10','2']) ).
cnf('12',plain,
double_divide(inverse(X),inverse(multiply(inverse(X),Y))) = Y,
inference(paramodulation,[],['7','6']) ).
cnf('13',plain,
double_divide(inverse(X),inverse(multiply(Y,Z))) = multiply(multiply(Y,Z),X),
inference(paramodulation,[],['11','12']) ).
cnf('14',plain,
multiply(multiply(inverse(X),Y),X) = Y,
inference(paramodulation,[],['13','12']) ).
cnf('15',plain,
multiply(inverse(X),double_divide(Y,inverse(Y))) = inverse(X),
inference(paramodulation,[],['14','4']) ).
cnf('16',plain,
double_divide(multiply(inverse(X),double_divide(Y,Z)),multiply(Z,Y)) = X,
inference(paramodulation,[],['2','6']) ).
cnf('17',plain,
double_divide(inverse(X),multiply(inverse(Y),Y)) = X,
inference(paramodulation,[],['15','16']) ).
cnf('18',plain,
double_divide(inverse(X3),inverse(multiply(inverse(Y3),Y3))) = X3,
inference(paramodulation,[],['9','17']) ).
cnf('19',plain,
multiply(multiply(multiply(X,Y),Z),double_divide(Y,X)) = Z,
inference(paramodulation,[],['2','14']) ).
cnf('20',plain,
multiply(X,double_divide(X,inverse(Y))) = Y,
inference(paramodulation,[],['14','19']) ).
cnf('21',plain,
multiply(X,Y) = double_divide(inverse(Y),inverse(X)),
inference(paramodulation,[],['20','14']) ).
cnf('22',plain,
multiply(multiply(inverse(X),X),Y) = Y,
inference(simplify,[],['18','21']) ).
cnf('23',plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[],[prove_these_axioms_2]) ).
cnf('24',plain,
$false,
inference(resolution,[],['22','23']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP586-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:57:10 EDT 2023
% 0.13/0.34 % 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: 7
% 0.20/0.38 in_min_size: 8
% 0.20/0.38 in_max_size: 14
% 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,
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% 0.20/0.38 "max_length": 0,
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% 0.20/0.38 "runs":[
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% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 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},
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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": 0, "weight_select_ratio":20, "depth_penalty":100},
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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},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.20/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 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"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.20/0.38 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 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, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 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_unordered_para"], "query_preference": 0},
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% 0.20/0.38 {"max_dseconds": 10, "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": 10, "strategy":["unit","prohibit_unordered_para"], "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":100, "repeat_var_weight":1},
% 0.20/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 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": 1},
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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},
% 0.20/0.38 {"max_dseconds": 10, "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},
% 0.20/0.38 {"max_dseconds": 10, "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": 10, "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": 10, "strategy":["query_focus"], "query_preference": 0},
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% 0.20/0.40
% 0.20/0.40 **** run 8 fork 7 starts with strategy
% 0.20/0.40 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 result: proof found
% 0.20/0.42 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 by run 6 fork 5 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42
% 0.20/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.42
% 0.20/0.42 run 6 fork 5 statistics:
% 0.20/0.42 ----------------------------------
% 0.20/0.42 this run seconds: 0.014472
% 0.20/0.42 total seconds: 0.036351
% 0.20/0.42 stat_given_used: 32
% 0.20/0.42 stat_given_used_at_endgame: 0
% 0.20/0.42 stat_given_candidates: 53
% 0.20/0.42 stat_given_candidates_at_endgame: 0
% 0.20/0.42 stat_given_candidates_h: 0
% 0.20/0.42 stat_binres_derived_cl: 1
% 0.20/0.42 stat_binres_derived_cl_h: 0
% 0.20/0.42 stat_factor_derived_cl: 0
% 0.20/0.42 stat_para_derived_cl: 753
% 0.20/0.42 stat_tautologies_discarded: 0
% 0.20/0.42 stat_forward_subsumed: 128
% 0.20/0.42 stat_derived_cut: 0
% 0.20/0.42 stat_derived_rewritten: 4
% 0.20/0.42 stat_weight_discarded_building: 0
% 0.20/0.42 stat_weight_discarded_cl: 0
% 0.20/0.42 stat_internlimit_discarded_cl: 0
% 0.20/0.42 stat_simplified: 4 simplified 0 derived 0 given
% 0.20/0.42 stat_kept_cl: 527
% 0.20/0.42 stat_built_cl: 595
% 0.20/0.42 stat_hyperres_partial_cl: 0
% 0.20/0.42 stat_made_rewriters: 31
% 0.20/0.42 stat_backward_subsumed: 0
% 0.20/0.42 stat_propagated_subsumed: 0
% 0.20/0.42 stat_clsubs_attempted: 45
% 0.20/0.42 stat_clsubs_fact_groundunit_found: 0
% 0.20/0.42 stat_clsubs_rule_groundunit_found: 1
% 0.20/0.42 stat_clsubs_top_meta_attempted: 465
% 0.20/0.42 stat_clsubs_top_meta_failed: 420
% 0.20/0.42 stat_clsubs_top_meta_nonpref_attempted: 465
% 0.20/0.42 stat_clsubs_top_meta_nonpref_succeeded: 108
% 0.20/0.42 stat_clsubs_top_meta_pref_attempted: 108
% 0.20/0.42 stat_clsubs_top_meta_pref1_succeeded: 108
% 0.20/0.42 stat_clsubs_top_meta_pref2_succeeded: 58
% 0.20/0.42 stat_clsubs_top_meta_pref3_succeeded: 45
% 0.20/0.42 stat_clsubs_top_meta_pref_succeeded: 45
% 0.20/0.42 stat_clsubs_meta_attempted: 45
% 0.20/0.42 stat_clsubs_meta_failed: 3
% 0.20/0.42 stat_clsubs_predsymbs_attempted: 0
% 0.20/0.42 stat_clsubs_unit_attempted: 45
% 0.20/0.42 stat_clsubs_full_attempted: 0
% 0.20/0.42 stat_forwardsubs_attempted: 655
% 0.20/0.42 stat_lit_hash_added: 531
% 0.20/0.42 stat_lit_hash_computed: 1221
% 0.20/0.42 stat_lit_hash_match_found: 129
% 0.20/0.42 stat_lit_hash_match_miss: 1092
% 0.20/0.42 stat_lit_hash_cut_ok: 0
% 0.20/0.42 stat_lit_strong_cut_ok: 0
% 0.20/0.42 stat_lit_hash_subsume_ok: 128
% 0.20/0.42 clqueue els 10000000 used 1
% 0.20/0.42 clactive els 10000000 used 33
% 0.20/0.42 clactivesubsume els 10000000 used 187
% 0.20/0.42 queue_termbuf els 200000000 used 40400
% 0.20/0.42 hyper_termbuf els 100000000 used 1
% 0.20/0.42 active_termbuf els 100000000 used 1434
% 0.20/0.42 varstack els 5000 last used 1
% 0.20/0.42 given_termbuf els 10000000 last used 34
% 0.20/0.42 simplified_termbuf els 10000000 last used 1
% 0.20/0.42 derived_termbuf els 10000000 last used 3
% 0.20/0.42 wr_mallocs: 2396
% 0.20/0.42 wr_callocs: 21
% 0.20/0.42 wr_reallocs: 52
% 0.20/0.42 wr_frees: 2
% 0.20/0.42 wr_malloc_bytes: 4162663220
% 0.20/0.42 wr_calloc_bytes: 112065536
% 0.20/0.42 wr_realloc_bytes: 8808
% 0.20/0.42 wr_realloc_freebytes: 0
% 0.20/0.42 ----------------------------------
%------------------------------------------------------------------------------