TSTP Solution File: GRP494-1 by GKC---0.8
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%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP494-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n029.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 00:54:28 EDT 2023
% Result : Unsatisfiable 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named identity)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
identity = double_divide(X,inverse(X)),
inference(cnf_transformation,[],[identity]) ).
cnf('2',plain,
double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
inference(cnf_transformation,[],[single_axiom]) ).
cnf('3',plain,
inverse(X) = double_divide(X,identity),
inference(cnf_transformation,[],[inverse]) ).
cnf('4',plain,
double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),inverse(identity)),double_divide(X,Z))) = Y,
inference(simplify,[],['2','3']) ).
cnf('5',plain,
double_divide(double_divide(identity,X3),double_divide(double_divide(identity,inverse(identity)),double_divide(X3,inverse(Y3)))) = Y3,
inference(paramodulation,[],['1','4']) ).
cnf('6',plain,
double_divide(double_divide(identity,X),double_divide(identity,double_divide(X,inverse(Y)))) = Y,
inference(simplify,[],['5','1']) ).
cnf('7',plain,
double_divide(identity,double_divide(identity,double_divide(inverse(identity),inverse(X3)))) = X3,
inference(paramodulation,[],['1','6']) ).
cnf('8',plain,
double_divide(double_divide(identity,X3),double_divide(identity,identity)) = X3,
inference(paramodulation,[],['1','6']) ).
cnf('9',plain,
double_divide(double_divide(identity,X),inverse(identity)) = X,
inference(simplify,[],['8','3']) ).
cnf('10',plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(paramodulation,[],['1','9']) ).
cnf('11',plain,
identity = inverse(identity),
inference(simplify,[],['10','1']) ).
cnf('12',plain,
double_divide(identity,double_divide(identity,double_divide(identity,inverse(X)))) = X,
inference(simplify,[],['7','11']) ).
cnf('13',plain,
double_divide(X3,inverse(identity)) = double_divide(identity,double_divide(identity,inverse(X3))),
inference(paramodulation,[],['12','9']) ).
cnf('14',plain,
inverse(X) = double_divide(identity,double_divide(identity,inverse(X))),
inference(simplify,[then_simplify],['13','11','3']) ).
cnf('15',plain,
double_divide(identity,inverse(X)) = X,
inference(paramodulation,[],['14','12']) ).
cnf('16',plain,
inverse(X) = double_divide(identity,X),
inference(paramodulation,[],['15','14']) ).
cnf('17',plain,
multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[],[multiply]) ).
cnf('18',plain,
multiply(X,Y) = inverse(double_divide(Y,X)),
inference(simplify,[],['17','3']) ).
cnf('19',plain,
multiply(identity,X) = inverse(inverse(X)),
inference(paramodulation,[],['3','18']) ).
cnf('20',plain,
multiply(identity,a2) != a2,
inference(cnf_transformation,[],[prove_these_axioms_2]) ).
cnf('21',plain,
inverse(inverse(a2)) != a2,
inference(paramodulation,[],['19','20']) ).
cnf('22',plain,
$false,
inference(paramodulation,[then_simplify],['16','15','21']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP494-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n029.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 20:03:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.38
% 0.13/0.38 input clause set summed statistics:
% 0.13/0.38 ----------------------------------
% 0.13/0.38 in_clause_count: 5
% 0.13/0.38 in_rule_clause_count: 5
% 0.13/0.38 in_fact_clause_count: 0
% 0.13/0.38 in_answer_clause_count: 0
% 0.13/0.38 in_ground_clause_count: 1
% 0.13/0.38 in_unit_clause_count: 5
% 0.13/0.38 in_horn_clause_count: 5
% 0.13/0.38 in_pos_clause_count: 4
% 0.13/0.38 in_neg_clause_count: 1
% 0.13/0.38 in_poseq_clause_count: 4
% 0.13/0.38 in_negeq_clause_count: 1
% 0.13/0.38 in_unitposeq_clause_count: 4
% 0.13/0.38 in_chain_clause_count: 0
% 0.13/0.38 in_min_length: 1
% 0.13/0.38 in_max_length: 1
% 0.13/0.38 in_min_depth: 2
% 0.13/0.38 in_max_depth: 5
% 0.13/0.38 in_min_size: 5
% 0.13/0.38 in_max_size: 17
% 0.13/0.38 in_min_vars: 0
% 0.13/0.38 in_max_vars: 3
% 0.13/0.38 in_extaxiom_count: 0
% 0.13/0.38 in_axiom_count: 4
% 0.13/0.38 in_assumption_count: 0
% 0.13/0.38 in_goal_count: 1
% 0.13/0.38 in_neg_goal_count: 1
% 0.13/0.38 in_pos_goal_count: 0
% 0.13/0.38 in_posunit_goal_count: 0
% 0.13/0.38
% 0.13/0.38 auto guide:
% 0.13/0.38 -----------
% 0.13/0.38 {
% 0.13/0.38 "print":1,
% 0.13/0.38 "print_level": 15,
% 0.13/0.38 "max_size": 0,
% 0.13/0.38 "max_depth": 0,
% 0.13/0.38 "max_length": 0,
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% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.13/0.38 {"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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% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
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% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.13/0.38 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
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% 0.13/0.38 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.13/0.38 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.13/0.38 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.13/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.13/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.13/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.13/0.38 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.13/0.38 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.13/0.38
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% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.13/0.38 {"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},
% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.13/0.38 {"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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% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.13/0.38 {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 0},
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% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 **** run 1 fork 0 starts with strategy
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% 0.13/0.39 **** run 2 fork 1 starts with strategy
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% 0.13/0.39
% 0.13/0.39 **** run 3 fork 2 starts with strategy
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% 0.13/0.39
% 0.13/0.39 **** run 4 fork 3 starts with strategy
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% 0.13/0.39
% 0.13/0.39 **** run 5 fork 4 starts with strategy
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% 0.13/0.39
% 0.13/0.39 **** run 6 fork 5 starts with strategy
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% 0.13/0.39
% 0.13/0.39 **** run 7 fork 6 starts with strategy
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% 0.13/0.40
% 0.13/0.40 **** run 8 fork 7 starts with strategy
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% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 result: proof found
% 0.19/0.44 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 by run 3 fork 2 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44
% 0.19/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.44
% 0.19/0.44 run 3 fork 2 statistics:
% 0.19/0.44 ----------------------------------
% 0.19/0.44 this run seconds: 0.018030
% 0.19/0.44 total seconds: 0.038704
% 0.19/0.44 stat_given_used: 45
% 0.19/0.44 stat_given_used_at_endgame: 0
% 0.19/0.44 stat_given_candidates: 198
% 0.19/0.44 stat_given_candidates_at_endgame: 0
% 0.19/0.44 stat_given_candidates_h: 0
% 0.19/0.44 stat_binres_derived_cl: 0
% 0.19/0.44 stat_binres_derived_cl_h: 0
% 0.19/0.44 stat_factor_derived_cl: 0
% 0.19/0.44 stat_para_derived_cl: 991
% 0.19/0.44 stat_tautologies_discarded: 0
% 0.19/0.44 stat_forward_subsumed: 64
% 0.19/0.44 stat_derived_cut: 1
% 0.19/0.44 stat_derived_rewritten: 15
% 0.19/0.44 stat_weight_discarded_building: 0
% 0.19/0.44 stat_weight_discarded_cl: 0
% 0.19/0.44 stat_internlimit_discarded_cl: 0
% 0.19/0.44 stat_simplified: 15 simplified 0 derived 0 given
% 0.19/0.44 stat_kept_cl: 829
% 0.19/0.44 stat_built_cl: 934
% 0.19/0.44 stat_hyperres_partial_cl: 0
% 0.19/0.44 stat_made_rewriters: 44
% 0.19/0.44 stat_backward_subsumed: 0
% 0.19/0.44 stat_propagated_subsumed: 0
% 0.19/0.44 stat_clsubs_attempted: 94
% 0.19/0.44 stat_clsubs_fact_groundunit_found: 0
% 0.19/0.44 stat_clsubs_rule_groundunit_found: 0
% 0.19/0.44 stat_clsubs_top_meta_attempted: 915
% 0.19/0.44 stat_clsubs_top_meta_failed: 821
% 0.19/0.44 stat_clsubs_top_meta_nonpref_attempted: 915
% 0.19/0.44 stat_clsubs_top_meta_nonpref_succeeded: 427
% 0.19/0.44 stat_clsubs_top_meta_pref_attempted: 427
% 0.19/0.44 stat_clsubs_top_meta_pref1_succeeded: 427
% 0.19/0.44 stat_clsubs_top_meta_pref2_succeeded: 149
% 0.19/0.44 stat_clsubs_top_meta_pref3_succeeded: 94
% 0.19/0.44 stat_clsubs_top_meta_pref_succeeded: 94
% 0.19/0.44 stat_clsubs_meta_attempted: 94
% 0.19/0.44 stat_clsubs_meta_failed: 3
% 0.19/0.44 stat_clsubs_predsymbs_attempted: 0
% 0.19/0.44 stat_clsubs_unit_attempted: 94
% 0.19/0.44 stat_clsubs_full_attempted: 0
% 0.19/0.44 stat_forwardsubs_attempted: 894
% 0.19/0.44 stat_lit_hash_added: 836
% 0.19/0.44 stat_lit_hash_computed: 1777
% 0.19/0.44 stat_lit_hash_match_found: 64
% 0.19/0.44 stat_lit_hash_match_miss: 1722
% 0.19/0.44 stat_lit_hash_cut_ok: 0
% 0.19/0.44 stat_lit_strong_cut_ok: 1
% 0.19/0.44 stat_lit_hash_subsume_ok: 64
% 0.19/0.44 clqueue els 10000000 used 1
% 0.19/0.44 clactive els 10000000 used 46
% 0.19/0.44 clactivesubsume els 10000000 used 259
% 0.19/0.44 queue_termbuf els 200000000 used 55687
% 0.19/0.44 hyper_termbuf els 100000000 used 1
% 0.19/0.44 active_termbuf els 100000000 used 1688
% 0.19/0.44 varstack els 5000 last used 1
% 0.19/0.44 given_termbuf els 10000000 last used 1
% 0.19/0.44 simplified_termbuf els 10000000 last used 1
% 0.19/0.44 derived_termbuf els 10000000 last used 35
% 0.19/0.44 wr_mallocs: 3803
% 0.19/0.44 wr_callocs: 21
% 0.19/0.44 wr_reallocs: 134
% 0.19/0.44 wr_frees: 2
% 0.19/0.44 wr_malloc_bytes: 4162711860
% 0.19/0.44 wr_calloc_bytes: 112065536
% 0.19/0.44 wr_realloc_bytes: 22424
% 0.19/0.44 wr_realloc_freebytes: 0
% 0.19/0.44 ----------------------------------
%------------------------------------------------------------------------------