%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL004-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n005.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 : Wed Aug 30 18:26:48 EDT 2023
% Result : Unsatisfiable 2.02s 0.76s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named s_definition)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
inference(cnf_transformation,[],[s_definition]) ).
cnf('2',plain,
apply(apply(apply(apply(s,apply(k,apply(s,apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),x),y) != apply(y,apply(apply(x,x),y)),
inference(cnf_transformation,[],[prove_u_combinator]) ).
cnf('3',plain,
apply(apply(apply(apply(k,apply(s,apply(apply(s,k),k))),x),apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x)),y) != apply(y,apply(apply(x,x),y)),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
apply(apply(k,X),Y) = X,
inference(cnf_transformation,[],[k_definition]) ).
cnf('5',plain,
apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x)),y) != apply(y,apply(apply(x,x),y)),
inference(simplify,[],['3','4']) ).
cnf('6',plain,
apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(apply(apply(s,k),k),x),apply(apply(apply(s,k),k),x))),y) != apply(y,apply(apply(x,x),y)),
inference(paramodulation,[],['1','5']) ).
cnf('7',plain,
apply(apply(apply(s,k),X),Y) = Y,
inference(paramodulation,[],['1','4']) ).
cnf('8',plain,
apply(apply(apply(s,apply(apply(s,k),k)),apply(x,x)),y) != apply(y,apply(apply(x,x),y)),
inference(simplify,[then_simplify],['6','7','7']) ).
cnf('9',plain,
apply(apply(apply(apply(s,k),k),y),apply(apply(x,x),y)) != apply(y,apply(apply(x,x),y)),
inference(paramodulation,[],['1','8']) ).
cnf('10',plain,
$false,
inference(simplify,[],['9','7']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n005.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 : Sun Aug 27 04:55:23 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: 3
% 0.13/0.38 in_rule_clause_count: 3
% 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: 3
% 0.13/0.38 in_horn_clause_count: 3
% 0.13/0.38 in_pos_clause_count: 2
% 0.13/0.38 in_neg_clause_count: 1
% 0.13/0.38 in_poseq_clause_count: 2
% 0.13/0.38 in_negeq_clause_count: 1
% 0.13/0.38 in_unitposeq_clause_count: 2
% 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: 3
% 0.13/0.38 in_max_depth: 9
% 0.13/0.38 in_min_size: 7
% 0.13/0.38 in_max_size: 37
% 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: 2
% 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,
% 0.13/0.38 "max_dseconds": 0,
% 0.13/0.38 "runs":[
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% 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},
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% 0.13/0.38
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% 0.13/0.38 {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 1},
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% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
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% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.13/0.38 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
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% 0.13/0.38 {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
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% 0.19/0.56
% 0.19/0.56 **** run 10 fork 1 starts with strategy
% 0.19/0.56 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.64
% 0.19/0.64
% 0.19/0.64 fork 3: search terminated without proof.
% 0.19/0.64
% 0.19/0.64
% 0.19/0.64 fork 2: search terminated without proof.
% 0.19/0.64
% 0.19/0.64
% 0.19/0.64 fork 4: search terminated without proof.
% 0.19/0.65
% 0.19/0.65
% 0.19/0.65 fork 6: search terminated without proof.
% 0.19/0.66
% 0.19/0.66 **** run 19 fork 2 starts with strategy
% 0.19/0.66 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
% 0.19/0.66
% 0.19/0.66 **** run 20 fork 3 starts with strategy
% 0.19/0.66 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0}
% 0.19/0.66
% 0.19/0.66 **** run 21 fork 4 starts with strategy
% 0.19/0.66 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.67
% 0.19/0.67 **** run 23 fork 6 starts with strategy
% 0.19/0.67 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.19/0.67
% 0.19/0.67
% 0.19/0.67 fork 1: search terminated without proof.
% 0.19/0.69
% 0.19/0.69 **** run 18 fork 1 starts with strategy
% 0.19/0.69 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 2.02/0.76
% 2.02/0.76
% 2.02/0.76 result: proof found
% 2.02/0.76 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.02/0.76 by run 6 fork 5 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 2.02/0.76 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.02/0.76
% 2.02/0.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.02/0.76
% 2.02/0.76 run 6 fork 5 statistics:
% 2.02/0.76 ----------------------------------
% 2.02/0.76 this run seconds: 0.012607
% 2.02/0.76 total seconds: 0.035592
% 2.02/0.76 stat_given_used: 6
% 2.02/0.76 stat_given_used_at_endgame: 0
% 2.02/0.76 stat_given_candidates: 8
% 2.02/0.76 stat_given_candidates_at_endgame: 0
% 2.02/0.76 stat_given_candidates_h: 0
% 2.02/0.76 stat_binres_derived_cl: 0
% 2.02/0.76 stat_binres_derived_cl_h: 0
% 2.02/0.76 stat_factor_derived_cl: 0
% 2.02/0.76 stat_para_derived_cl: 36
% 2.02/0.76 stat_tautologies_discarded: 0
% 2.02/0.76 stat_forward_subsumed: 9
% 2.02/0.76 stat_derived_cut: 1
% 2.02/0.76 stat_derived_rewritten: 3
% 2.02/0.76 stat_weight_discarded_building: 0
% 2.02/0.76 stat_weight_discarded_cl: 0
% 2.02/0.76 stat_internlimit_discarded_cl: 0
% 2.02/0.76 stat_simplified: 3 simplified 0 derived 0 given
% 2.02/0.76 stat_kept_cl: 19
% 2.02/0.76 stat_built_cl: 33
% 2.02/0.76 stat_hyperres_partial_cl: 0
% 2.02/0.76 stat_made_rewriters: 2
% 2.02/0.76 stat_backward_subsumed: 0
% 2.02/0.76 stat_propagated_subsumed: 0
% 2.02/0.76 stat_clsubs_attempted: 2
% 2.02/0.76 stat_clsubs_fact_groundunit_found: 0
% 2.02/0.76 stat_clsubs_rule_groundunit_found: 1
% 2.02/0.76 stat_clsubs_top_meta_attempted: 8
% 2.02/0.76 stat_clsubs_top_meta_failed: 6
% 2.02/0.76 stat_clsubs_top_meta_nonpref_attempted: 8
% 2.02/0.76 stat_clsubs_top_meta_nonpref_succeeded: 7
% 2.02/0.76 stat_clsubs_top_meta_pref_attempted: 7
% 2.02/0.76 stat_clsubs_top_meta_pref1_succeeded: 2
% 2.02/0.76 stat_clsubs_top_meta_pref2_succeeded: 2
% 2.02/0.76 stat_clsubs_top_meta_pref3_succeeded: 2
% 2.02/0.76 stat_clsubs_top_meta_pref_succeeded: 2
% 2.02/0.76 stat_clsubs_meta_attempted: 2
% 2.02/0.76 stat_clsubs_meta_failed: 0
% 2.02/0.76 stat_clsubs_predsymbs_attempted: 0
% 2.02/0.76 stat_clsubs_unit_attempted: 2
% 2.02/0.76 stat_clsubs_full_attempted: 0
% 2.02/0.76 stat_forwardsubs_attempted: 28
% 2.02/0.76 stat_lit_hash_added: 25
% 2.02/0.76 stat_lit_hash_computed: 64
% 2.02/0.76 stat_lit_hash_match_found: 10
% 2.02/0.76 stat_lit_hash_match_miss: 50
% 2.02/0.76 stat_lit_hash_cut_ok: 0
% 2.02/0.76 stat_lit_strong_cut_ok: 0
% 2.02/0.76 stat_lit_hash_subsume_ok: 9
% 2.02/0.76 clqueue els 10000000 used 1
% 2.02/0.76 clactive els 10000000 used 7
% 2.02/0.76 clactivesubsume els 10000000 used 19
% 2.02/0.76 queue_termbuf els 200000000 used 2157
% 2.02/0.76 hyper_termbuf els 100000000 used 1
% 2.02/0.76 active_termbuf els 100000000 used 443
% 2.02/0.76 varstack els 5000 last used 1
% 2.02/0.76 given_termbuf els 10000000 last used 1
% 2.02/0.76 simplified_termbuf els 10000000 last used 1
% 2.02/0.76 derived_termbuf els 10000000 last used 3
% 2.02/0.76 wr_mallocs: 287
% 2.02/0.76 wr_callocs: 21
% 2.02/0.76 wr_reallocs: 0
% 2.02/0.76 wr_frees: 2
% 2.02/0.76 wr_malloc_bytes: 4162587268
% 2.02/0.76 wr_calloc_bytes: 112065536
% 2.02/0.76 wr_realloc_bytes: 0
% 2.02/0.76 wr_realloc_freebytes: 0
% 2.02/0.76 ----------------------------------
%------------------------------------------------------------------------------