%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL003-3 : TPTP v8.1.2. Released v1.0.0.
% 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 18:26:46 EDT 2023
% Result : Unsatisfiable 4.48s 1.07s
% Output : CNFRefutation 4.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named w_definition)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
apply(apply(w,X),Y) = apply(apply(X,Y),Y),
inference(cnf_transformation,[],[w_definition]) ).
cnf('2',plain,
apply(apply(w,apply(X,Y)),Y) = apply(apply(apply(w,X),Y),Y),
inference(paramodulation,[],['1','1']) ).
cnf('3',plain,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
inference(cnf_transformation,[],[b_definition]) ).
cnf('4',plain,
apply(apply(apply(b,X3),apply(Y3,Z3)),Z3) = apply(X3,apply(apply(w,Y3),Z3)),
inference(paramodulation,[],['1','3']) ).
cnf('5',plain,
apply(X,apply(apply(Y,Z),Z)) = apply(X,apply(apply(w,Y),Z)),
inference(simplify,[],['4','3']) ).
cnf('6',plain,
( apply(X,fixed_pt) != apply(fixed_pt,apply(X,fixed_pt))
| fixed_point(X) ),
inference(cnf_transformation,[],[strong_fixed_point]) ).
cnf('7',plain,
~ fixed_point(apply(apply(b,apply(w,w)),apply(apply(b,apply(apply(b,w),b)),b))),
inference(cnf_transformation,[],[prove_strong_fixed_point]) ).
cnf('8',plain,
apply(apply(apply(b,apply(w,w)),apply(apply(b,apply(apply(b,w),b)),b)),fixed_pt) != apply(fixed_pt,apply(apply(apply(b,apply(w,w)),apply(apply(b,apply(apply(b,w),b)),b)),fixed_pt)),
inference(resolution,[],['6','7']) ).
cnf('9',plain,
apply(apply(w,w),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,[then_simplify],['8','3','3','3','3','3','3']) ).
cnf('10',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(paramodulation,[],['1','9']) ).
cnf('11',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,[],['1','10']) ).
cnf('12',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(simplify,[],['11','2']) ).
cnf('13',plain,
apply(apply(apply(apply(b,apply(b,fixed_pt)),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,[],['1','12']) ).
cnf('14',plain,
apply(fixed_pt,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(simplify,[then_simplify],['13','3','3','2']) ).
cnf('15',plain,
apply(fixed_pt,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,apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt))))),
inference(paramodulation,[],['1','14']) ).
cnf('16',plain,
$false,
inference(paramodulation,[then_simplify],['2','5','15']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL003-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n006.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 04:38:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.38
% 0.19/0.38 input clause set summed statistics:
% 0.19/0.38 ----------------------------------
% 0.19/0.38 in_clause_count: 4
% 0.19/0.38 in_rule_clause_count: 4
% 0.19/0.38 in_fact_clause_count: 0
% 0.19/0.38 in_answer_clause_count: 0
% 0.19/0.38 in_ground_clause_count: 1
% 0.19/0.38 in_unit_clause_count: 3
% 0.19/0.38 in_horn_clause_count: 4
% 0.19/0.38 in_pos_clause_count: 2
% 0.19/0.38 in_neg_clause_count: 1
% 0.19/0.38 in_poseq_clause_count: 2
% 0.19/0.38 in_negeq_clause_count: 1
% 0.19/0.38 in_unitposeq_clause_count: 2
% 0.19/0.38 in_chain_clause_count: 0
% 0.19/0.38 in_min_length: 1
% 0.19/0.38 in_max_length: 2
% 0.19/0.38 in_min_depth: 3
% 0.19/0.38 in_max_depth: 6
% 0.19/0.38 in_min_size: 11
% 0.19/0.38 in_max_size: 16
% 0.19/0.38 in_min_vars: 0
% 0.19/0.38 in_max_vars: 3
% 0.19/0.38 in_extaxiom_count: 0
% 0.19/0.38 in_axiom_count: 3
% 0.19/0.38 in_assumption_count: 0
% 0.19/0.38 in_goal_count: 1
% 0.19/0.38 in_neg_goal_count: 1
% 0.19/0.38 in_pos_goal_count: 0
% 0.19/0.38 in_posunit_goal_count: 0
% 0.19/0.38
% 0.19/0.38 auto guide:
% 0.19/0.38 -----------
% 0.19/0.38 {
% 0.19/0.38 "print":1,
% 0.19/0.38 "print_level": 15,
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% 0.19/0.51 fork 5: search terminated without proof.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 fork 2: search terminated without proof.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 fork 0: search terminated without proof.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 fork 7: search terminated without proof.
% 0.19/0.54
% 0.19/0.54 **** run 14 fork 5 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.19/0.54
% 0.19/0.54 **** run 12 fork 3 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.54
% 0.19/0.54 **** run 10 fork 1 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.54
% 0.19/0.54 **** run 13 fork 4 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0}
% 0.19/0.54
% 0.19/0.54 **** run 11 fork 2 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.54
% 0.19/0.54 **** run 15 fork 6 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.54
% 0.19/0.54 **** run 16 fork 7 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.54
% 0.19/0.54 **** run 9 fork 0 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.64
% 0.19/0.64 fork 1: search finished without proof.
% 0.19/0.65
% 0.19/0.65
% 0.19/0.65 fork 5: search terminated without proof.
% 0.19/0.65
% 0.19/0.65 fork 0: search finished without proof.
% 0.19/0.65
% 0.19/0.65
% 0.19/0.65 fork 2: search terminated without proof.
% 0.19/0.65
% 0.19/0.65
% 0.19/0.65 fork 4: search terminated without proof.
% 0.19/0.66
% 0.19/0.66
% 0.19/0.66 fork 6: search terminated without proof.
% 0.19/0.66
% 0.19/0.66 **** run 18 fork 1 starts with strategy
% 0.19/0.66 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":1}
% 0.19/0.67
% 0.19/0.67 **** run 17 fork 0 starts with strategy
% 0.19/0.67 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 0.19/0.67
% 0.19/0.67 **** run 21 fork 4 starts with strategy
% 0.19/0.67 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.19/0.68
% 0.19/0.68
% 0.19/0.68 fork 3: search terminated without proof.
% 0.19/0.68
% 0.19/0.68 **** run 19 fork 2 starts with strategy
% 0.19/0.68 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.68
% 0.19/0.68 **** run 23 fork 6 starts with strategy
% 0.19/0.68 {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.19/0.69
% 0.19/0.69
% 0.19/0.69 fork 7: search terminated without proof.
% 0.19/0.69
% 0.19/0.69 **** run 22 fork 5 starts with strategy
% 0.19/0.69 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 0.19/0.70
% 0.19/0.70 **** run 24 fork 7 starts with strategy
% 0.19/0.70 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.19/0.71
% 0.19/0.71 **** run 20 fork 3 starts with strategy
% 0.19/0.71 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 3.06/0.79
% 3.06/0.79
% 3.06/0.79 fork 0: search terminated without proof.
% 3.06/0.80
% 3.06/0.80
% 3.06/0.80 fork 4: search terminated without proof.
% 3.06/0.81
% 3.06/0.81
% 3.06/0.81 fork 1: search terminated without proof.
% 3.06/0.81
% 3.06/0.81 **** run 25 fork 0 starts with strategy
% 3.06/0.81 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 3.06/0.82
% 3.06/0.82 **** run 29 fork 4 starts with strategy
% 3.06/0.82 {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 3.06/0.84
% 3.06/0.84 **** run 26 fork 1 starts with strategy
% 3.06/0.84 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 3.06/0.84
% 3.06/0.84
% 3.06/0.84 fork 7: search terminated without proof.
% 3.06/0.84
% 3.06/0.84
% 3.06/0.84 fork 3: search terminated without proof.
% 3.06/0.84
% 3.06/0.84
% 3.06/0.84 fork 6: search terminated without proof.
% 3.06/0.85
% 3.06/0.85
% 3.06/0.85 fork 5: search terminated without proof.
% 3.06/0.86
% 3.06/0.86 **** run 32 fork 7 starts with strategy
% 3.06/0.86 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"rewrite":0}
% 3.06/0.86
% 3.06/0.86 **** run 28 fork 3 starts with strategy
% 3.06/0.86 {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 3.06/0.86
% 3.06/0.86 **** run 31 fork 6 starts with strategy
% 3.06/0.86 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 3.63/0.87
% 3.63/0.87 **** run 30 fork 5 starts with strategy
% 3.63/0.87 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 3.97/0.95
% 3.97/0.95
% 3.97/0.95 fork 4: search terminated without proof.
% 3.97/0.95
% 3.97/0.95
% 3.97/0.95 fork 1: search terminated without proof.
% 3.97/0.97
% 3.97/0.97 **** run 37 fork 4 starts with strategy
% 3.97/0.97 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 3.97/0.97
% 3.97/0.97 **** run 34 fork 1 starts with strategy
% 3.97/0.97 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 3.97/0.98
% 3.97/0.98
% 3.97/0.98 fork 3: search terminated without proof.
% 3.97/0.98
% 3.97/0.98
% 3.97/0.98 fork 6: search terminated without proof.
% 3.97/0.98
% 3.97/0.98
% 3.97/0.98 fork 7: search terminated without proof.
% 3.97/0.99
% 3.97/0.99
% 3.97/0.99 fork 5: search terminated without proof.
% 3.97/1.00
% 3.97/1.00 **** run 36 fork 3 starts with strategy
% 3.97/1.00 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.97/1.00
% 3.97/1.00 **** run 39 fork 6 starts with strategy
% 3.97/1.00 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 3.97/1.01
% 3.97/1.01 **** run 40 fork 7 starts with strategy
% 3.97/1.01 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 4.48/1.01
% 4.48/1.01 **** run 38 fork 5 starts with strategy
% 4.48/1.01 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 4.48/1.07
% 4.48/1.07
% 4.48/1.07 result: proof found
% 4.48/1.07 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.48/1.07 by run 25 fork 0 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 4.48/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.48/1.07
% 4.48/1.07 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.48/1.07
% 4.48/1.07 run 25 fork 0 statistics:
% 4.48/1.07 ----------------------------------
% 4.48/1.07 this run seconds: 0.007406
% 4.48/1.07 total seconds: 0.455181
% 4.48/1.07 stat_given_used: 18
% 4.48/1.07 stat_given_used_at_endgame: 0
% 4.48/1.07 stat_given_candidates: 38
% 4.48/1.07 stat_given_candidates_at_endgame: 0
% 4.48/1.07 stat_given_candidates_h: 0
% 4.48/1.07 stat_binres_derived_cl: 1
% 4.48/1.07 stat_binres_derived_cl_h: 0
% 4.48/1.07 stat_factor_derived_cl: 0
% 4.48/1.07 stat_para_derived_cl: 318
% 4.48/1.07 stat_tautologies_discarded: 0
% 4.48/1.07 stat_forward_subsumed: 65
% 4.48/1.07 stat_derived_cut: 1
% 4.48/1.07 stat_derived_rewritten: 9
% 4.48/1.07 stat_weight_discarded_building: 0
% 4.48/1.07 stat_weight_discarded_cl: 0
% 4.48/1.07 stat_internlimit_discarded_cl: 0
% 4.48/1.07 stat_simplified: 9 simplified 0 derived 0 given
% 4.48/1.07 stat_kept_cl: 197
% 4.48/1.07 stat_built_cl: 242
% 4.48/1.07 stat_hyperres_partial_cl: 0
% 4.48/1.07 stat_made_rewriters: 3
% 4.48/1.07 stat_backward_subsumed: 0
% 4.48/1.07 stat_propagated_subsumed: 0
% 4.48/1.07 stat_clsubs_attempted: 21
% 4.48/1.08 stat_clsubs_fact_groundunit_found: 0
% 4.48/1.08 stat_clsubs_rule_groundunit_found: 4
% 4.48/1.08 stat_clsubs_top_meta_attempted: 107
% 4.48/1.08 stat_clsubs_top_meta_failed: 86
% 4.48/1.08 stat_clsubs_top_meta_nonpref_attempted: 107
% 4.48/1.08 stat_clsubs_top_meta_nonpref_succeeded: 77
% 4.48/1.08 stat_clsubs_top_meta_pref_attempted: 77
% 4.48/1.08 stat_clsubs_top_meta_pref1_succeeded: 21
% 4.48/1.08 stat_clsubs_top_meta_pref2_succeeded: 21
% 4.48/1.08 stat_clsubs_top_meta_pref3_succeeded: 21
% 4.48/1.08 stat_clsubs_top_meta_pref_succeeded: 21
% 4.48/1.08 stat_clsubs_meta_attempted: 21
% 4.48/1.08 stat_clsubs_meta_failed: 2
% 4.48/1.08 stat_clsubs_predsymbs_attempted: 0
% 4.48/1.08 stat_clsubs_unit_attempted: 21
% 4.48/1.08 stat_clsubs_full_attempted: 0
% 4.48/1.08 stat_forwardsubs_attempted: 263
% 4.48/1.08 stat_lit_hash_added: 235
% 4.48/1.08 stat_lit_hash_computed: 567
% 4.48/1.08 stat_lit_hash_match_found: 74
% 4.48/1.08 stat_lit_hash_match_miss: 491
% 4.48/1.08 stat_lit_hash_cut_ok: 0
% 4.48/1.08 stat_lit_strong_cut_ok: 1
% 4.48/1.08 stat_lit_hash_subsume_ok: 65
% 4.48/1.08 clqueue els 10000000 used 1
% 4.48/1.08 clactive els 10000000 used 19
% 4.48/1.08 clactivesubsume els 10000000 used 55
% 4.48/1.08 queue_termbuf els 200000000 used 22888
% 4.48/1.08 hyper_termbuf els 100000000 used 1
% 4.48/1.08 active_termbuf els 100000000 used 1523
% 4.48/1.08 varstack els 5000 last used 1
% 4.48/1.08 given_termbuf els 10000000 last used 1
% 4.48/1.08 simplified_termbuf els 10000000 last used 1
% 4.48/1.08 derived_termbuf els 10000000 last used 52
% 4.48/1.08 wr_mallocs: 1239
% 4.48/1.08 wr_callocs: 21
% 4.48/1.08 wr_reallocs: 57
% 4.48/1.08 wr_frees: 2
% 4.48/1.08 wr_malloc_bytes: 4162621748
% 4.48/1.08 wr_calloc_bytes: 112065536
% 4.48/1.08 wr_realloc_bytes: 4608
% 4.48/1.08 wr_realloc_freebytes: 0
% 4.48/1.08 ----------------------------------
%------------------------------------------------------------------------------