TSTP Solution File: COL003-5 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL003-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n011.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 18:26:46 EDT 2023
% Result : Unsatisfiable 12.48s 2.09s
% Output : CNFRefutation 12.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named b_definition)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
inference(cnf_transformation,[],[b_definition]) ).
cnf('2',plain,
apply(apply(w,X),Y) = apply(apply(X,Y),Y),
inference(cnf_transformation,[],[w_definition]) ).
cnf('3',plain,
apply(apply(w,apply(apply(b,X),Y)),Z) = apply(apply(X,apply(Y,Z)),Z),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
apply(apply(w,w),X) = apply(apply(X,X),X),
inference(paramodulation,[],['2','2']) ).
cnf('5',plain,
apply(apply(w,apply(X,Y)),Y) = apply(apply(apply(w,X),Y),Y),
inference(paramodulation,[],['2','2']) ).
cnf('6',plain,
~ fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b))),
inference(cnf_transformation,[],[prove_strong_fixed_point]) ).
cnf('7',plain,
~ fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(w,b),b))),
inference(paramodulation,[],['2','6']) ).
cnf('8',plain,
( apply(X,fixed_pt) != apply(fixed_pt,apply(X,fixed_pt))
| fixed_point(X) ),
inference(cnf_transformation,[],[strong_fixed_point]) ).
cnf('9',plain,
apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(w,b),b)),fixed_pt) != apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(w,b),b)),fixed_pt)),
inference(resolution,[],['7','8']) ).
cnf('10',plain,
apply(apply(w,w),apply(w,apply(apply(apply(w,b),b),fixed_pt))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(w,b),b),fixed_pt)))),
inference(simplify,[then_simplify],['9','1','1','1','1']) ).
cnf('11',plain,
apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(w,b),b),fixed_pt)))),
inference(paramodulation,[],['2','10']) ).
cnf('12',plain,
apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(w,b),b),fixed_pt)))),
inference(simplify,[],['11','1']) ).
cnf('13',plain,
apply(apply(w,apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(w,b),b),fixed_pt)))),
inference(paramodulation,[],['2','12']) ).
cnf('14',plain,
apply(apply(w,apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),
inference(paramodulation,[],['2','13']) ).
cnf('15',plain,
apply(apply(w,apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt))))),
inference(simplify,[],['14','1']) ).
cnf('16',plain,
apply(apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt))))),
inference(paramodulation,[],['2','15']) ).
cnf('17',plain,
apply(apply(w,apply(apply(b,apply(b,fixed_pt)),apply(w,apply(b,apply(b,fixed_pt))))),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt))))),
inference(paramodulation,[],['5','16']) ).
cnf('18',plain,
apply(apply(w,apply(apply(b,apply(b,fixed_pt)),apply(w,apply(b,apply(b,fixed_pt))))),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt))))),
inference(paramodulation,[],['4','17']) ).
cnf('19',plain,
$false,
inference(paramodulation,[then_simplify],['3','1','18']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COL003-5 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : gkc %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 04:21:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.39
% 0.13/0.39 input clause set summed statistics:
% 0.13/0.39 ----------------------------------
% 0.13/0.39 in_clause_count: 4
% 0.13/0.39 in_rule_clause_count: 4
% 0.13/0.39 in_fact_clause_count: 0
% 0.13/0.39 in_answer_clause_count: 0
% 0.13/0.39 in_ground_clause_count: 1
% 0.13/0.39 in_unit_clause_count: 3
% 0.13/0.39 in_horn_clause_count: 4
% 0.13/0.39 in_pos_clause_count: 2
% 0.13/0.39 in_neg_clause_count: 1
% 0.13/0.39 in_poseq_clause_count: 2
% 0.13/0.39 in_negeq_clause_count: 1
% 0.13/0.39 in_unitposeq_clause_count: 2
% 0.13/0.39 in_chain_clause_count: 0
% 0.13/0.39 in_min_length: 1
% 0.13/0.39 in_max_length: 2
% 0.13/0.39 in_min_depth: 3
% 0.13/0.39 in_max_depth: 6
% 0.13/0.39 in_min_size: 11
% 0.13/0.39 in_max_size: 16
% 0.13/0.39 in_min_vars: 0
% 0.13/0.39 in_max_vars: 3
% 0.13/0.39 in_extaxiom_count: 0
% 0.13/0.39 in_axiom_count: 3
% 0.13/0.39 in_assumption_count: 0
% 0.13/0.39 in_goal_count: 1
% 0.13/0.39 in_neg_goal_count: 1
% 0.13/0.39 in_pos_goal_count: 0
% 0.13/0.39 in_posunit_goal_count: 0
% 0.13/0.39
% 0.13/0.39 auto guide:
% 0.13/0.39 -----------
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% 0.13/0.41 **** run 8 fork 7 starts with strategy
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% 7.52/1.45 {"var_weight":70,"repeat_var_weight":70,"rewrite":0,"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["hardness_pref","max_weight"],"max_dseconds":1}
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% 10.92/1.85
% 10.92/1.85 fork 5: search terminated without proof.
% 10.92/1.86
% 10.92/1.86
% 10.92/1.86 fork 2: search terminated without proof.
% 10.92/1.86
% 10.92/1.86 **** run 94 fork 5 starts with strategy
% 10.92/1.86 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 10.92/1.88
% 10.92/1.88
% 10.92/1.88 fork 7: search terminated without proof.
% 10.92/1.88
% 10.92/1.88 **** run 91 fork 2 starts with strategy
% 10.92/1.88 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 10.92/1.90
% 10.92/1.90
% 10.92/1.90 fork 1: search terminated without proof.
% 10.92/1.90
% 10.92/1.90 **** run 88 fork 7 starts with strategy
% 10.92/1.90 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 10.92/1.91
% 10.92/1.91
% 10.92/1.91 fork 0: search terminated without proof.
% 11.12/1.93
% 11.12/1.93 **** run 90 fork 1 starts with strategy
% 11.12/1.93 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 11.12/1.93
% 11.12/1.93 **** run 81 fork 0 starts with strategy
% 11.12/1.93 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":1,"strategy":["query_focus","prohibit_nested_para"],"max_dseconds":1}
% 11.12/1.96
% 11.12/1.96 fork 0: search finished without proof.
% 11.12/1.98
% 11.12/1.98 **** run 89 fork 0 starts with strategy
% 11.12/1.98 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 12.48/2.09
% 12.48/2.09
% 12.48/2.09 result: proof found
% 12.48/2.09 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.48/2.09 by run 68 fork 3 strategy {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":1}
% 12.48/2.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.48/2.09
% 12.48/2.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.48/2.10
% 12.48/2.10 run 68 fork 3 statistics:
% 12.48/2.10 ----------------------------------
% 12.48/2.10 this run seconds: 0.036784
% 12.48/2.10 total seconds: 1.078208
% 12.48/2.10 stat_given_used: 89
% 12.48/2.10 stat_given_used_at_endgame: 0
% 12.48/2.10 stat_given_candidates: 324
% 12.48/2.10 stat_given_candidates_at_endgame: 0
% 12.48/2.10 stat_given_candidates_h: 0
% 12.48/2.10 stat_binres_derived_cl: 3
% 12.48/2.10 stat_binres_derived_cl_h: 0
% 12.48/2.10 stat_factor_derived_cl: 0
% 12.48/2.10 stat_para_derived_cl: 1751
% 12.48/2.10 stat_tautologies_discarded: 0
% 12.48/2.10 stat_forward_subsumed: 647
% 12.48/2.10 stat_derived_cut: 1
% 12.48/2.10 stat_derived_rewritten: 21
% 12.48/2.10 stat_weight_discarded_building: 0
% 12.48/2.10 stat_weight_discarded_cl: 0
% 12.48/2.10 stat_internlimit_discarded_cl: 0
% 12.48/2.10 stat_simplified: 21 simplified 0 derived 0 given
% 12.48/2.10 stat_kept_cl: 987
% 12.48/2.10 stat_built_cl: 1186
% 12.48/2.10 stat_hyperres_partial_cl: 0
% 12.48/2.10 stat_made_rewriters: 21
% 12.48/2.10 stat_backward_subsumed: 0
% 12.48/2.10 stat_propagated_subsumed: 0
% 12.48/2.10 stat_clsubs_attempted: 152
% 12.48/2.10 stat_clsubs_fact_groundunit_found: 0
% 12.48/2.10 stat_clsubs_rule_groundunit_found: 27
% 12.48/2.10 stat_clsubs_top_meta_attempted: 584
% 12.48/2.10 stat_clsubs_top_meta_failed: 432
% 12.48/2.10 stat_clsubs_top_meta_nonpref_attempted: 584
% 12.48/2.10 stat_clsubs_top_meta_nonpref_succeeded: 420
% 12.48/2.10 stat_clsubs_top_meta_pref_attempted: 420
% 12.48/2.10 stat_clsubs_top_meta_pref1_succeeded: 152
% 12.48/2.10 stat_clsubs_top_meta_pref2_succeeded: 152
% 12.48/2.10 stat_clsubs_top_meta_pref3_succeeded: 152
% 12.48/2.10 stat_clsubs_top_meta_pref_succeeded: 152
% 12.48/2.10 stat_clsubs_meta_attempted: 153
% 12.48/2.10 stat_clsubs_meta_failed: 2
% 12.48/2.10 stat_clsubs_predsymbs_attempted: 0
% 12.48/2.10 stat_clsubs_unit_attempted: 151
% 12.48/2.10 stat_clsubs_full_attempted: 1
% 12.48/2.10 stat_forwardsubs_attempted: 1635
% 12.48/2.10 stat_lit_hash_added: 1065
% 12.48/2.10 stat_lit_hash_computed: 3080
% 12.48/2.10 stat_lit_hash_match_found: 829
% 12.48/2.10 stat_lit_hash_match_miss: 2199
% 12.48/2.10 stat_lit_hash_cut_ok: 0
% 12.48/2.10 stat_lit_strong_cut_ok: 1
% 12.48/2.10 stat_lit_hash_subsume_ok: 647
% 12.48/2.10 clqueue els 10000000 used 1
% 12.48/2.10 clactive els 10000000 used 90
% 12.48/2.10 clactivesubsume els 10000000 used 97
% 12.48/2.10 queue_termbuf els 200000000 used 112008
% 12.48/2.10 hyper_termbuf els 100000000 used 1
% 12.48/2.10 active_termbuf els 100000000 used 8744
% 12.48/2.10 varstack els 5000 last used 1
% 12.48/2.10 given_termbuf els 10000000 last used 1
% 12.48/2.10 simplified_termbuf els 10000000 last used 1
% 12.48/2.10 derived_termbuf els 10000000 last used 79
% 12.48/2.10 wr_mallocs: 6549
% 12.48/2.10 wr_callocs: 21
% 12.48/2.10 wr_reallocs: 168
% 12.48/2.10 wr_frees: 2
% 12.48/2.10 wr_malloc_bytes: 4162806692
% 12.48/2.10 wr_calloc_bytes: 112065536
% 12.48/2.10 wr_realloc_bytes: 17392
% 12.48/2.10 wr_realloc_freebytes: 0
% 12.48/2.10 ----------------------------------
%------------------------------------------------------------------------------