TSTP Solution File: COL044-2 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL044-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n006.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 18:27:02 EDT 2023
% Result : Unsatisfiable 11.45s 1.82s
% Output : CNFRefutation 11.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named n_definition)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
apply(apply(apply(n,X),Y),Z) = apply(apply(apply(X,Z),Y),Z),
inference(cnf_transformation,[],[n_definition]) ).
cnf('2',plain,
( apply(X,fixed_pt) != apply(fixed_pt,apply(X,fixed_pt))
| fixed_point(X) ),
inference(cnf_transformation,[],[strong_fixed_point]) ).
cnf('3',plain,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n)),b)),b)),
inference(cnf_transformation,[],[prove_strong_fixed_point]) ).
cnf('4',plain,
apply(apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n)),b)),b),fixed_pt) != apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n)),b)),b),fixed_pt)),
inference(resolution,[],['2','3']) ).
cnf('5',plain,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
inference(cnf_transformation,[],[b_definition]) ).
cnf('6',plain,
apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,fixed_pt)))),
inference(simplify,[then_simplify],['4','5','5','5','5']) ).
cnf('7',plain,
apply(apply(apply(apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n)),apply(b,apply(b,fixed_pt))),n),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,fixed_pt)))),
inference(paramodulation,[],['1','6']) ).
cnf('8',plain,
apply(apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,fixed_pt)))),
inference(simplify,[then_simplify],['7','5','5']) ).
cnf('9',plain,
apply(apply(apply(apply(apply(apply(b,b),n),apply(b,apply(b,fixed_pt))),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,fixed_pt)))),
inference(paramodulation,[],['1','8']) ).
cnf('10',plain,
apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n))),n),apply(b,apply(b,fixed_pt)))),
inference(simplify,[then_simplify],['9','5','5']) ).
cnf('11',plain,
apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(apply(b,b),apply(apply(n,apply(apply(b,b),n)),n)),apply(b,apply(b,fixed_pt))),n),apply(b,apply(b,fixed_pt)))),
inference(paramodulation,[],['1','10']) ).
cnf('12',plain,
apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(n,apply(apply(b,b),n)),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt))))),
inference(simplify,[then_simplify],['11','5','5']) ).
cnf('13',plain,
apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(apply(apply(b,b),n),apply(b,apply(b,fixed_pt))),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt))))),
inference(paramodulation,[],['1','12']) ).
cnf('14',plain,
apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt))))),
inference(simplify,[then_simplify],['13','5','5']) ).
cnf('15',plain,
apply(apply(apply(apply(b,apply(b,fixed_pt)),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt))))),
inference(paramodulation,[],['1','14']) ).
cnf('16',plain,
$false,
inference(simplify,[then_simplify],['15','5','5']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL044-2 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.12 % Command : gkc %s
% 0.15/0.32 % Computer : n006.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Sun Aug 27 05:01:07 EDT 2023
% 0.15/0.33 % CPUTime :
% 0.17/0.36
% 0.17/0.36 input clause set summed statistics:
% 0.17/0.36 ----------------------------------
% 0.17/0.36 in_clause_count: 4
% 0.17/0.36 in_rule_clause_count: 4
% 0.17/0.36 in_fact_clause_count: 0
% 0.17/0.36 in_answer_clause_count: 0
% 0.17/0.36 in_ground_clause_count: 1
% 0.17/0.36 in_unit_clause_count: 3
% 0.17/0.36 in_horn_clause_count: 4
% 0.17/0.36 in_pos_clause_count: 2
% 0.17/0.36 in_neg_clause_count: 1
% 0.17/0.36 in_poseq_clause_count: 2
% 0.17/0.36 in_negeq_clause_count: 1
% 0.17/0.36 in_unitposeq_clause_count: 2
% 0.17/0.36 in_chain_clause_count: 0
% 0.17/0.36 in_min_length: 1
% 0.17/0.36 in_max_length: 2
% 0.17/0.36 in_min_depth: 3
% 0.17/0.36 in_max_depth: 12
% 0.17/0.36 in_min_size: 11
% 0.17/0.36 in_max_size: 26
% 0.17/0.36 in_min_vars: 0
% 0.17/0.36 in_max_vars: 3
% 0.17/0.36 in_extaxiom_count: 0
% 0.17/0.36 in_axiom_count: 3
% 0.17/0.36 in_assumption_count: 0
% 0.17/0.36 in_goal_count: 1
% 0.17/0.36 in_neg_goal_count: 1
% 0.17/0.36 in_pos_goal_count: 0
% 0.17/0.36 in_posunit_goal_count: 0
% 0.17/0.36
% 0.17/0.36 auto guide:
% 0.17/0.36 -----------
% 0.17/0.36 {
% 0.17/0.36 "print":1,
% 0.17/0.36 "print_level": 15,
% 0.17/0.36 "max_size": 0,
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% 8.71/1.71
% 8.71/1.71 fork 3: search finished without proof.
% 8.71/1.72
% 8.71/1.72
% 8.71/1.72 fork 0: search terminated without proof.
% 8.71/1.72
% 8.71/1.72
% 8.71/1.72 fork 7: search terminated without proof.
% 8.71/1.74
% 8.71/1.74
% 8.71/1.74 fork 2: search terminated without proof.
% 8.71/1.74
% 8.71/1.74 **** run 92 fork 3 starts with strategy
% 8.71/1.74 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 8.71/1.75
% 8.71/1.75 **** run 80 fork 7 starts with strategy
% 8.71/1.75 {"rewrite":0,"depth_penalty":50,"query_preference":1,"strategy":["query_focus","hornpref"],"max_dseconds":1}
% 8.71/1.75
% 8.71/1.75 **** run 73 fork 0 starts with strategy
% 8.71/1.75 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 8.71/1.75
% 8.71/1.75
% 8.71/1.75 fork 4: search terminated without proof.
% 8.71/1.76
% 8.71/1.76 **** run 83 fork 2 starts with strategy
% 8.71/1.76 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"weight_select_ratio":30,"depth_penalty":100,"length_penalty":100}
% 8.71/1.78
% 8.71/1.78 **** run 85 fork 4 starts with strategy
% 8.71/1.78 {"length_penalty":100,"query_preference":1,"strategy":["positive_pref","posunitpara"],"max_dseconds":1}
% 11.10/1.81
% 11.10/1.81
% 11.10/1.81 fork 5: search terminated without proof.
% 11.45/1.82
% 11.45/1.82
% 11.45/1.82 result: proof found
% 11.45/1.82 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.45/1.82 by run 85 fork 4 strategy {"length_penalty":100,"query_preference":1,"strategy":["positive_pref","posunitpara"],"max_dseconds":1}
% 11.45/1.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.45/1.82
% 11.45/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.45/1.82
% 11.45/1.82 run 85 fork 4 statistics:
% 11.45/1.82 ----------------------------------
% 11.45/1.82 this run seconds: 0.009342
% 11.45/1.82 total seconds: 1.456633
% 11.45/1.82 stat_given_used: 25
% 11.45/1.82 stat_given_used_at_endgame: 0
% 11.45/1.82 stat_given_candidates: 48
% 11.45/1.83 stat_given_candidates_at_endgame: 0
% 11.45/1.83 stat_given_candidates_h: 0
% 11.45/1.83 stat_binres_derived_cl: 1
% 11.45/1.83 stat_binres_derived_cl_h: 0
% 11.45/1.83 stat_factor_derived_cl: 0
% 11.45/1.83 stat_para_derived_cl: 663
% 11.45/1.83 stat_tautologies_discarded: 0
% 11.45/1.83 stat_forward_subsumed: 202
% 11.45/1.83 stat_derived_cut: 1
% 11.45/1.83 stat_derived_rewritten: 26
% 11.45/1.83 stat_weight_discarded_building: 0
% 11.45/1.83 stat_weight_discarded_cl: 0
% 11.45/1.83 stat_internlimit_discarded_cl: 0
% 11.45/1.83 stat_simplified: 26 simplified 0 derived 0 given
% 11.45/1.83 stat_kept_cl: 412
% 11.45/1.83 stat_built_cl: 487
% 11.45/1.83 stat_hyperres_partial_cl: 0
% 11.45/1.83 stat_made_rewriters: 6
% 11.45/1.83 stat_backward_subsumed: 0
% 11.45/1.83 stat_propagated_subsumed: 0
% 11.45/1.83 stat_clsubs_attempted: 36
% 11.45/1.83 stat_clsubs_fact_groundunit_found: 0
% 11.45/1.83 stat_clsubs_rule_groundunit_found: 8
% 11.45/1.83 stat_clsubs_top_meta_attempted: 192
% 11.45/1.83 stat_clsubs_top_meta_failed: 156
% 11.45/1.83 stat_clsubs_top_meta_nonpref_attempted: 192
% 11.45/1.83 stat_clsubs_top_meta_nonpref_succeeded: 154
% 11.45/1.83 stat_clsubs_top_meta_pref_attempted: 154
% 11.45/1.83 stat_clsubs_top_meta_pref1_succeeded: 36
% 11.45/1.83 stat_clsubs_top_meta_pref2_succeeded: 36
% 11.45/1.83 stat_clsubs_top_meta_pref3_succeeded: 36
% 11.45/1.83 stat_clsubs_top_meta_pref_succeeded: 36
% 11.45/1.83 stat_clsubs_meta_attempted: 36
% 11.45/1.83 stat_clsubs_meta_failed: 2
% 11.45/1.83 stat_clsubs_predsymbs_attempted: 0
% 11.45/1.83 stat_clsubs_unit_attempted: 36
% 11.45/1.83 stat_clsubs_full_attempted: 0
% 11.45/1.83 stat_forwardsubs_attempted: 614
% 11.45/1.83 stat_lit_hash_added: 431
% 11.45/1.83 stat_lit_hash_computed: 1108
% 11.45/1.83 stat_lit_hash_match_found: 212
% 11.45/1.83 stat_lit_hash_match_miss: 904
% 11.45/1.83 stat_lit_hash_cut_ok: 0
% 11.45/1.83 stat_lit_strong_cut_ok: 0
% 11.45/1.83 stat_lit_hash_subsume_ok: 202
% 11.45/1.83 clqueue els 10000000 used 1
% 11.45/1.83 clactive els 10000000 used 26
% 11.45/1.83 clactivesubsume els 10000000 used 67
% 11.45/1.83 queue_termbuf els 200000000 used 68530
% 11.45/1.83 hyper_termbuf els 100000000 used 1
% 11.45/1.83 active_termbuf els 100000000 used 3133
% 11.45/1.83 varstack els 5000 last used 1
% 11.45/1.83 given_termbuf els 10000000 last used 1
% 11.45/1.83 simplified_termbuf els 10000000 last used 1
% 11.45/1.83 derived_termbuf els 10000000 last used 3
% 11.45/1.83 wr_mallocs: 2654
% 11.45/1.83 wr_callocs: 21
% 11.45/1.83 wr_reallocs: 26
% 11.45/1.83 wr_frees: 2
% 11.45/1.83 wr_malloc_bytes: 4162672468
% 11.45/1.83 wr_calloc_bytes: 112065536
% 11.45/1.83 wr_realloc_bytes: 2432
% 11.45/1.83 wr_realloc_freebytes: 0
% 11.45/1.83 ----------------------------------
%------------------------------------------------------------------------------