TSTP Solution File: COL006-6 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL006-6 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n013.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 18:26:50 EDT 2023
% Result : Unsatisfiable 0.20s 0.57s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named strong_fixed_point)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
strong_fixed_point = apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))),
inference(cnf_transformation,[],[strong_fixed_point]) ).
cnf('2',plain,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
inference(cnf_transformation,[],[s_definition]) ).
cnf('3',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),X3),apply(apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),X3)),
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,X),apply(k,Y)),Z) = apply(apply(X,Z),Y),
inference(paramodulation,[],['4','2']) ).
cnf('6',plain,
apply(apply(apply(s,apply(k,X)),Y),Z) = apply(X,apply(Y,Z)),
inference(paramodulation,[],['4','2']) ).
cnf('7',plain,
apply(strong_fixed_point,X) = apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(s,apply(k,X)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),
inference(simplify,[then_simplify],['3','4','5','6']) ).
cnf('8',plain,
apply(apply(apply(s,k),X),Y) = Y,
inference(paramodulation,[],['4','2']) ).
cnf('9',plain,
apply(apply(apply(s,X),apply(apply(s,k),Y)),Z) = apply(apply(X,Z),Z),
inference(paramodulation,[],['8','2']) ).
cnf('10',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(apply(s,k),k),apply(apply(s,apply(k,X3)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(k,X3)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),
inference(paramodulation,[],['7','9']) ).
cnf('11',plain,
apply(strong_fixed_point,X) = apply(X,apply(strong_fixed_point,X)),
inference(simplify,[then_simplify],['10','8','6','7']) ).
cnf('12',plain,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
inference(cnf_transformation,[],[prove_strong_fixed_point]) ).
cnf('13',plain,
$false,
inference(resolution,[],['11','12']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL006-6 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n013.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 04:51:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.39
% 0.20/0.39 input clause set summed statistics:
% 0.20/0.39 ----------------------------------
% 0.20/0.39 in_clause_count: 4
% 0.20/0.39 in_rule_clause_count: 4
% 0.20/0.39 in_fact_clause_count: 0
% 0.20/0.39 in_answer_clause_count: 0
% 0.20/0.39 in_ground_clause_count: 2
% 0.20/0.39 in_unit_clause_count: 4
% 0.20/0.39 in_horn_clause_count: 4
% 0.20/0.39 in_pos_clause_count: 3
% 0.20/0.39 in_neg_clause_count: 1
% 0.20/0.39 in_poseq_clause_count: 3
% 0.20/0.39 in_negeq_clause_count: 1
% 0.20/0.39 in_unitposeq_clause_count: 3
% 0.20/0.39 in_chain_clause_count: 0
% 0.20/0.39 in_min_length: 1
% 0.20/0.39 in_max_length: 1
% 0.20/0.39 in_min_depth: 3
% 0.20/0.39 in_max_depth: 8
% 0.20/0.39 in_min_size: 7
% 0.20/0.39 in_max_size: 45
% 0.20/0.39 in_min_vars: 0
% 0.20/0.39 in_max_vars: 3
% 0.20/0.39 in_extaxiom_count: 0
% 0.20/0.39 in_axiom_count: 3
% 0.20/0.39 in_assumption_count: 0
% 0.20/0.39 in_goal_count: 1
% 0.20/0.39 in_neg_goal_count: 1
% 0.20/0.39 in_pos_goal_count: 0
% 0.20/0.39 in_posunit_goal_count: 0
% 0.20/0.39
% 0.20/0.39 auto guide:
% 0.20/0.39 -----------
% 0.20/0.39 {
% 0.20/0.39 "print":1,
% 0.20/0.39 "print_level": 15,
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% 0.20/0.52 fork 7: search terminated without proof.
% 0.20/0.54
% 0.20/0.54 **** run 11 fork 2 starts with strategy
% 0.20/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.54 **** run 10 fork 1 starts with strategy
% 0.20/0.54
% 0.20/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.54
% 0.20/0.54 **** run 15 fork 6 starts with strategy
% 0.20/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.54
% 0.20/0.54 **** run 13 fork 4 starts with strategy
% 0.20/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.54
% 0.20/0.54 **** run 14 fork 5 starts with strategy
% 0.20/0.54
% 0.20/0.54 **** run 12 fork 3 starts with strategy
% 0.20/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.54 {"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}
% 0.20/0.54
% 0.20/0.54 **** run 9 fork 0 starts with strategy
% 0.20/0.54 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.20/0.55
% 0.20/0.55 **** run 16 fork 7 starts with strategy
% 0.20/0.55 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 0.20/0.57
% 0.20/0.57
% 0.20/0.57 result: proof found
% 0.20/0.57 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.57 by run 11 fork 2 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.57
% 0.20/0.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.57
% 0.20/0.57 run 11 fork 2 statistics:
% 0.20/0.57 ----------------------------------
% 0.20/0.57 this run seconds: 0.010254
% 0.20/0.57 total seconds: 0.172631
% 0.20/0.57 stat_given_used: 15
% 0.20/0.57 stat_given_used_at_endgame: 0
% 0.20/0.57 stat_given_candidates: 81
% 0.20/0.57 stat_given_candidates_at_endgame: 0
% 0.20/0.57 stat_given_candidates_h: 0
% 0.20/0.57 stat_binres_derived_cl: 1
% 0.20/0.57 stat_binres_derived_cl_h: 0
% 0.20/0.57 stat_factor_derived_cl: 0
% 0.20/0.57 stat_para_derived_cl: 201
% 0.20/0.57 stat_tautologies_discarded: 0
% 0.20/0.57 stat_forward_subsumed: 20
% 0.20/0.57 stat_derived_cut: 0
% 0.20/0.57 stat_derived_rewritten: 2
% 0.20/0.57 stat_weight_discarded_building: 0
% 0.20/0.57 stat_weight_discarded_cl: 0
% 0.20/0.57 stat_internlimit_discarded_cl: 0
% 0.20/0.57 stat_simplified: 2 simplified 0 derived 0 given
% 0.20/0.57 stat_kept_cl: 159
% 0.20/0.57 stat_built_cl: 191
% 0.20/0.57 stat_hyperres_partial_cl: 0
% 0.20/0.57 stat_made_rewriters: 12
% 0.20/0.57 stat_backward_subsumed: 0
% 0.20/0.57 stat_propagated_subsumed: 0
% 0.20/0.57 stat_clsubs_attempted: 32
% 0.20/0.57 stat_clsubs_fact_groundunit_found: 0
% 0.20/0.57 stat_clsubs_rule_groundunit_found: 1
% 0.20/0.57 stat_clsubs_top_meta_attempted: 77
% 0.20/0.57 stat_clsubs_top_meta_failed: 45
% 0.20/0.57 stat_clsubs_top_meta_nonpref_attempted: 77
% 0.20/0.57 stat_clsubs_top_meta_nonpref_succeeded: 36
% 0.20/0.57 stat_clsubs_top_meta_pref_attempted: 36
% 0.20/0.57 stat_clsubs_top_meta_pref1_succeeded: 36
% 0.20/0.57 stat_clsubs_top_meta_pref2_succeeded: 35
% 0.20/0.57 stat_clsubs_top_meta_pref3_succeeded: 32
% 0.20/0.57 stat_clsubs_top_meta_pref_succeeded: 32
% 0.20/0.57 stat_clsubs_meta_attempted: 32
% 0.20/0.57 stat_clsubs_meta_failed: 0
% 0.20/0.57 stat_clsubs_predsymbs_attempted: 0
% 0.20/0.57 stat_clsubs_unit_attempted: 32
% 0.20/0.57 stat_clsubs_full_attempted: 0
% 0.20/0.57 stat_forwardsubs_attempted: 179
% 0.20/0.57 stat_lit_hash_added: 166
% 0.20/0.57 stat_lit_hash_computed: 366
% 0.20/0.57 stat_lit_hash_match_found: 21
% 0.20/0.57 stat_lit_hash_match_miss: 340
% 0.20/0.57 stat_lit_hash_cut_ok: 0
% 0.20/0.57 stat_lit_strong_cut_ok: 0
% 0.20/0.57 stat_lit_hash_subsume_ok: 20
% 0.20/0.57 clqueue els 10000000 used 1
% 0.20/0.57 clactive els 10000000 used 16
% 0.20/0.57 clactivesubsume els 10000000 used 73
% 0.20/0.57 queue_termbuf els 200000000 used 31276
% 0.20/0.57 hyper_termbuf els 100000000 used 1
% 0.20/0.57 active_termbuf els 100000000 used 1551
% 0.20/0.57 varstack els 5000 last used 1
% 0.20/0.57 given_termbuf els 10000000 last used 35
% 0.20/0.57 simplified_termbuf els 10000000 last used 1
% 0.20/0.57 derived_termbuf els 10000000 last used 3
% 0.20/0.57 wr_mallocs: 1213
% 0.20/0.57 wr_callocs: 21
% 0.20/0.57 wr_reallocs: 3
% 0.20/0.57 wr_frees: 2
% 0.20/0.57 wr_malloc_bytes: 4162620900
% 0.20/0.57 wr_calloc_bytes: 112065536
% 0.20/0.57 wr_realloc_bytes: 216
% 0.20/0.57 wr_realloc_freebytes: 0
% 0.20/0.57 ----------------------------------
%------------------------------------------------------------------------------