TSTP Solution File: COL042-8 by GKC---0.8
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%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL042-8 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n023.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 18:27:00 EDT 2023
% Result : Unsatisfiable 0.17s 0.55s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named strong_fixed_point)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b),
inference(cnf_transformation,[],[strong_fixed_point]) ).
cnf('2',plain,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
inference(cnf_transformation,[],[b_definition]) ).
cnf('3',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b)),apply(b,X3)),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
apply(strong_fixed_point,X) = apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,X)))),
inference(simplify,[then_simplify],['3','2','2']) ).
cnf('5',plain,
apply(apply(w1,X),Y) = apply(apply(Y,X),X),
inference(cnf_transformation,[],[w1_definition]) ).
cnf('6',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(apply(b,w1),apply(b,apply(b,X3))),w1),w1),
inference(paramodulation,[],['4','5']) ).
cnf('7',plain,
apply(strong_fixed_point,X) = apply(apply(w1,apply(apply(b,apply(b,X)),w1)),w1),
inference(simplify,[],['6','2']) ).
cnf('8',plain,
apply(strong_fixed_point,X) = apply(apply(w1,apply(apply(b,apply(b,X)),w1)),apply(apply(b,apply(b,X)),w1)),
inference(paramodulation,[],['7','5']) ).
cnf('9',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(apply(b,apply(b,X3)),w1),apply(apply(b,apply(b,X3)),w1)),apply(apply(b,apply(b,X3)),w1)),
inference(paramodulation,[],['8','5']) ).
cnf('10',plain,
apply(strong_fixed_point,X) = apply(X,apply(strong_fixed_point,X)),
inference(simplify,[then_simplify],['9','2','2','8']) ).
cnf('11',plain,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
inference(cnf_transformation,[],[prove_strong_fixed_point]) ).
cnf('12',plain,
$false,
inference(resolution,[],['10','11']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : COL042-8 : TPTP v8.1.2. Released v2.1.0.
% 0.09/0.11 % Command : gkc %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Aug 27 04:14:56 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.36
% 0.11/0.36 input clause set summed statistics:
% 0.11/0.36 ----------------------------------
% 0.11/0.36 in_clause_count: 4
% 0.11/0.36 in_rule_clause_count: 4
% 0.11/0.36 in_fact_clause_count: 0
% 0.11/0.36 in_answer_clause_count: 0
% 0.11/0.36 in_ground_clause_count: 2
% 0.11/0.36 in_unit_clause_count: 4
% 0.11/0.36 in_horn_clause_count: 4
% 0.11/0.36 in_pos_clause_count: 3
% 0.11/0.36 in_neg_clause_count: 1
% 0.11/0.36 in_poseq_clause_count: 3
% 0.11/0.36 in_negeq_clause_count: 1
% 0.11/0.36 in_unitposeq_clause_count: 3
% 0.11/0.36 in_chain_clause_count: 0
% 0.11/0.36 in_min_length: 1
% 0.11/0.36 in_max_length: 1
% 0.11/0.36 in_min_depth: 3
% 0.11/0.36 in_max_depth: 7
% 0.11/0.36 in_min_size: 9
% 0.11/0.36 in_max_size: 19
% 0.11/0.36 in_min_vars: 0
% 0.11/0.36 in_max_vars: 3
% 0.11/0.36 in_extaxiom_count: 0
% 0.11/0.36 in_axiom_count: 3
% 0.11/0.36 in_assumption_count: 0
% 0.11/0.36 in_goal_count: 1
% 0.11/0.36 in_neg_goal_count: 1
% 0.11/0.36 in_pos_goal_count: 0
% 0.11/0.36 in_posunit_goal_count: 0
% 0.11/0.36
% 0.11/0.36 auto guide:
% 0.11/0.36 -----------
% 0.11/0.36 {
% 0.11/0.36 "print":1,
% 0.11/0.36 "print_level": 15,
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% 0.17/0.52
% 0.17/0.52 **** run 9 fork 0 starts with strategy
% 0.17/0.52 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}{"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.17/0.52
% 0.17/0.52
% 0.17/0.52 **** run 10 fork 1 starts with strategy
% 0.17/0.52 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.17/0.52
% 0.17/0.52 **** run 14 fork 5 starts with strategy
% 0.17/0.52 {"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}
% 0.17/0.52
% 0.17/0.52 **** run 15 fork 6 starts with strategy
% 0.17/0.52 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.17/0.52
% 0.17/0.52 **** run 12 fork 3 starts with strategy
% 0.17/0.52 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.17/0.52
% 0.17/0.52 **** run 13 fork 4 starts with strategy
% 0.17/0.52 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.17/0.52 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.17/0.55
% 0.17/0.55
% 0.17/0.55 result: proof found
% 0.17/0.55 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.55 by run 12 fork 3 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.17/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.55
% 0.17/0.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.17/0.55
% 0.17/0.55 run 12 fork 3 statistics:
% 0.17/0.55 ----------------------------------
% 0.17/0.55 this run seconds: 0.008449
% 0.17/0.55 total seconds: 0.189529
% 0.17/0.55 stat_given_used: 10
% 0.17/0.55 stat_given_used_at_endgame: 0
% 0.17/0.55 stat_given_candidates: 23
% 0.17/0.55 stat_given_candidates_at_endgame: 0
% 0.17/0.55 stat_given_candidates_h: 0
% 0.17/0.55 stat_binres_derived_cl: 1
% 0.17/0.55 stat_binres_derived_cl_h: 0
% 0.17/0.55 stat_factor_derived_cl: 0
% 0.17/0.55 stat_para_derived_cl: 43
% 0.17/0.55 stat_tautologies_discarded: 0
% 0.17/0.55 stat_forward_subsumed: 2
% 0.17/0.55 stat_derived_cut: 0
% 0.17/0.55 stat_derived_rewritten: 3
% 0.17/0.55 stat_weight_discarded_building: 0
% 0.17/0.55 stat_weight_discarded_cl: 0
% 0.17/0.55 stat_internlimit_discarded_cl: 0
% 0.17/0.55 stat_simplified: 3 simplified 0 derived 0 given
% 0.17/0.55 stat_kept_cl: 27
% 0.17/0.55 stat_built_cl: 50
% 0.17/0.55 stat_hyperres_partial_cl: 0
% 0.17/0.55 stat_made_rewriters: 8
% 0.17/0.55 stat_backward_subsumed: 0
% 0.17/0.55 stat_propagated_subsumed: 0
% 0.17/0.55 stat_clsubs_attempted: 7
% 0.17/0.55 stat_clsubs_fact_groundunit_found: 0
% 0.17/0.55 stat_clsubs_rule_groundunit_found: 0
% 0.17/0.55 stat_clsubs_top_meta_attempted: 28
% 0.17/0.55 stat_clsubs_top_meta_failed: 21
% 0.17/0.55 stat_clsubs_top_meta_nonpref_attempted: 28
% 0.17/0.55 stat_clsubs_top_meta_nonpref_succeeded: 13
% 0.17/0.55 stat_clsubs_top_meta_pref_attempted: 13
% 0.17/0.55 stat_clsubs_top_meta_pref1_succeeded: 13
% 0.17/0.55 stat_clsubs_top_meta_pref2_succeeded: 12
% 0.17/0.55 stat_clsubs_top_meta_pref3_succeeded: 7
% 0.17/0.55 stat_clsubs_top_meta_pref_succeeded: 7
% 0.17/0.55 stat_clsubs_meta_attempted: 7
% 0.17/0.55 stat_clsubs_meta_failed: 0
% 0.17/0.55 stat_clsubs_predsymbs_attempted: 0
% 0.17/0.55 stat_clsubs_unit_attempted: 7
% 0.17/0.55 stat_clsubs_full_attempted: 0
% 0.17/0.55 stat_forwardsubs_attempted: 29
% 0.17/0.55 stat_lit_hash_added: 34
% 0.17/0.55 stat_lit_hash_computed: 76
% 0.17/0.55 stat_lit_hash_match_found: 2
% 0.17/0.55 stat_lit_hash_match_miss: 70
% 0.17/0.55 stat_lit_hash_cut_ok: 0
% 0.17/0.55 stat_lit_strong_cut_ok: 0
% 0.17/0.55 stat_lit_hash_subsume_ok: 2
% 0.17/0.55 clqueue els 10000000 used 1
% 0.17/0.55 clactive els 10000000 used 11
% 0.17/0.55 clactivesubsume els 10000000 used 43
% 0.17/0.55 queue_termbuf els 200000000 used 3422
% 0.17/0.55 hyper_termbuf els 100000000 used 1
% 0.17/0.55 active_termbuf els 100000000 used 583
% 0.17/0.55 varstack els 5000 last used 1
% 0.17/0.55 given_termbuf els 10000000 last used 35
% 0.17/0.55 simplified_termbuf els 10000000 last used 1
% 0.17/0.55 derived_termbuf els 10000000 last used 3
% 0.17/0.55 wr_mallocs: 378
% 0.17/0.55 wr_callocs: 21
% 0.17/0.55 wr_reallocs: 0
% 0.17/0.55 wr_frees: 2
% 0.17/0.55 wr_malloc_bytes: 4162590516
% 0.17/0.55 wr_calloc_bytes: 112065536
% 0.17/0.55 wr_realloc_bytes: 0
% 0.17/0.55 wr_realloc_freebytes: 0
% 0.17/0.55 ----------------------------------
%------------------------------------------------------------------------------