TSTP Solution File: COL043-3 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL043-3 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n029.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 18:27:01 EDT 2023
% Result : Unsatisfiable 15.38s 2.48s
% Output : CNFRefutation 15.38s
% 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(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),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(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b),apply(b,X3)),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
apply(strong_fixed_point,X) = apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,X))),
inference(simplify,[],['3','2']) ).
cnf('5',plain,
apply(apply(apply(h,X),Y),Z) = apply(apply(apply(X,Y),Z),Y),
inference(cnf_transformation,[],[h_definition]) ).
cnf('6',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b)))),h),apply(b,apply(b,X3))),h),
inference(paramodulation,[],['4','5']) ).
cnf('7',plain,
apply(strong_fixed_point,X) = apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,X))),h),
inference(simplify,[then_simplify],['6','2','2']) ).
cnf('8',plain,
apply(strong_fixed_point,X3) = apply(apply(apply(apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h)),apply(b,apply(b,X3))),h),apply(b,apply(b,X3))),
inference(paramodulation,[],['7','5']) ).
cnf('9',plain,
apply(strong_fixed_point,X) = apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,X))),apply(h,apply(b,apply(b,X)))),
inference(simplify,[then_simplify],['8','2','2']) ).
cnf('10',plain,
apply(apply(apply(b,X3),apply(apply(Y3,Z3),U3)),Z3) = apply(X3,apply(apply(apply(h,Y3),Z3),U3)),
inference(paramodulation,[],['5','2']) ).
cnf('11',plain,
apply(X,apply(apply(apply(Y,Z),U),Z)) = apply(X,apply(apply(apply(h,Y),Z),U)),
inference(simplify,[],['10','2']) ).
cnf('12',plain,
apply(apply(apply(b,apply(apply(apply(X3,Y3),Z3),Y3)),U3),V3) = apply(apply(apply(apply(h,X3),Y3),Z3),apply(U3,V3)),
inference(paramodulation,[],['11','2']) ).
cnf('13',plain,
apply(apply(apply(apply(X,Y),Z),Y),apply(U,V)) = apply(apply(apply(apply(h,X),Y),Z),apply(U,V)),
inference(simplify,[],['12','2']) ).
cnf('14',plain,
apply(apply(apply(apply(apply(apply(b,h),apply(b,b)),h),apply(b,apply(b,X3))),h),apply(h,apply(b,apply(b,X3)))) = apply(strong_fixed_point,X3),
inference(paramodulation,[],['9','13']) ).
cnf('15',plain,
apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,X))),h),apply(h,apply(b,apply(b,X)))) = apply(strong_fixed_point,X),
inference(simplify,[],['14','2']) ).
cnf('16',plain,
apply(apply(apply(apply(apply(apply(b,b),h),apply(b,apply(b,X3))),h),apply(b,apply(b,X3))),apply(h,apply(b,apply(b,X3)))) = apply(strong_fixed_point,X3),
inference(paramodulation,[],['15','13']) ).
cnf('17',plain,
apply(apply(apply(h,apply(b,apply(b,X))),apply(h,apply(b,apply(b,X)))),apply(h,apply(b,apply(b,X)))) = apply(strong_fixed_point,X),
inference(simplify,[then_simplify],['16','2','2']) ).
cnf('18',plain,
apply(apply(apply(b,apply(apply(X3,apply(Y3,Z3)),U3)),Y3),Z3) = apply(apply(apply(h,X3),apply(Y3,Z3)),U3),
inference(paramodulation,[],['5','2']) ).
cnf('19',plain,
apply(apply(apply(X,apply(Y,Z)),U),apply(Y,Z)) = apply(apply(apply(h,X),apply(Y,Z)),U),
inference(simplify,[],['18','2']) ).
cnf('20',plain,
apply(apply(apply(apply(b,apply(b,X3)),apply(h,apply(b,apply(b,X3)))),apply(h,apply(b,apply(b,X3)))),apply(h,apply(b,apply(b,X3)))) = apply(strong_fixed_point,X3),
inference(paramodulation,[],['17','19']) ).
cnf('21',plain,
apply(X,apply(strong_fixed_point,X)) = apply(strong_fixed_point,X),
inference(simplify,[then_simplify],['20','2','2','17']) ).
cnf('22',plain,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
inference(cnf_transformation,[],[prove_strong_fixed_point]) ).
cnf('23',plain,
$false,
inference(paramodulation,[],['21','22']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL043-3 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.00/0.13 % Command : gkc %s
% 0.15/0.34 % Computer : n029.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun Aug 27 04:58:10 EDT 2023
% 0.15/0.34 % 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: 11
% 0.20/0.39 in_min_size: 9
% 0.20/0.39 in_max_size: 33
% 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 {
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% 7.83/1.50 {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth":4}
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% 7.83/1.52 fork 7: search terminated without proof.
% 8.88/1.54
% 8.88/1.54 **** run 72 fork 7 starts with strategy
% 8.88/1.54 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
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% 8.88/1.54 fork 1: search finished without proof.
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% 9.11/1.55 fork 4: search terminated without proof.
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% 9.11/1.55 **** run 74 fork 1 starts with strategy
% 9.11/1.55 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 9.21/1.57
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% 9.21/1.59 **** run 65 fork 0 starts with strategy
% 9.21/1.59 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100}
% 15.38/2.48
% 15.38/2.48
% 15.38/2.48 result: proof found
% 15.38/2.48 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.38/2.48 by run 65 fork 0 strategy {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100}
% 15.38/2.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.38/2.48
% 15.38/2.48 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.38/2.48
% 15.38/2.48 run 65 fork 0 statistics:
% 15.38/2.48 ----------------------------------
% 15.38/2.48 this run seconds: 0.019725
% 15.38/2.48 total seconds: 1.182719
% 15.38/2.48 stat_given_used: 22
% 15.38/2.48 stat_given_used_at_endgame: 0
% 15.38/2.48 stat_given_candidates: 63
% 15.38/2.48 stat_given_candidates_at_endgame: 0
% 15.38/2.48 stat_given_candidates_h: 0
% 15.38/2.48 stat_binres_derived_cl: 0
% 15.38/2.48 stat_binres_derived_cl_h: 0
% 15.38/2.48 stat_factor_derived_cl: 0
% 15.38/2.48 stat_para_derived_cl: 1329
% 15.38/2.48 stat_tautologies_discarded: 0
% 15.38/2.48 stat_forward_subsumed: 364
% 15.38/2.48 stat_derived_cut: 0
% 15.38/2.48 stat_derived_rewritten: 20
% 15.38/2.48 stat_weight_discarded_building: 0
% 15.38/2.48 stat_weight_discarded_cl: 0
% 15.38/2.48 stat_internlimit_discarded_cl: 0
% 15.38/2.48 stat_simplified: 20 simplified 0 derived 0 given
% 15.38/2.48 stat_kept_cl: 888
% 15.38/2.48 stat_built_cl: 952
% 15.38/2.48 stat_hyperres_partial_cl: 0
% 15.38/2.48 stat_made_rewriters: 15
% 15.38/2.48 stat_backward_subsumed: 0
% 15.38/2.48 stat_propagated_subsumed: 0
% 15.38/2.48 stat_clsubs_attempted: 103
% 15.38/2.48 stat_clsubs_fact_groundunit_found: 0
% 15.38/2.48 stat_clsubs_rule_groundunit_found: 1
% 15.38/2.48 stat_clsubs_top_meta_attempted: 262
% 15.38/2.48 stat_clsubs_top_meta_failed: 159
% 15.38/2.48 stat_clsubs_top_meta_nonpref_attempted: 262
% 15.38/2.48 stat_clsubs_top_meta_nonpref_succeeded: 106
% 15.38/2.48 stat_clsubs_top_meta_pref_attempted: 106
% 15.38/2.48 stat_clsubs_top_meta_pref1_succeeded: 106
% 15.38/2.48 stat_clsubs_top_meta_pref2_succeeded: 105
% 15.38/2.48 stat_clsubs_top_meta_pref3_succeeded: 103
% 15.38/2.48 stat_clsubs_top_meta_pref_succeeded: 103
% 15.38/2.48 stat_clsubs_meta_attempted: 103
% 15.38/2.48 stat_clsubs_meta_failed: 10
% 15.38/2.48 stat_clsubs_predsymbs_attempted: 0
% 15.38/2.48 stat_clsubs_unit_attempted: 103
% 15.38/2.48 stat_clsubs_full_attempted: 0
% 15.38/2.48 stat_forwardsubs_attempted: 1252
% 15.38/2.48 stat_lit_hash_added: 894
% 15.38/2.48 stat_lit_hash_computed: 2180
% 15.38/2.48 stat_lit_hash_match_found: 365
% 15.38/2.48 stat_lit_hash_match_miss: 1829
% 15.38/2.48 stat_lit_hash_cut_ok: 0
% 15.38/2.48 stat_lit_strong_cut_ok: 0
% 15.38/2.48 stat_lit_hash_subsume_ok: 364
% 15.38/2.48 clqueue els 10000000 used 1
% 15.38/2.48 clactive els 10000000 used 23
% 15.38/2.48 clactivesubsume els 10000000 used 121
% 15.38/2.48 queue_termbuf els 200000000 used 142335
% 15.38/2.48 hyper_termbuf els 100000000 used 1
% 15.38/2.48 active_termbuf els 100000000 used 1820
% 15.38/2.48 varstack els 5000 last used 1
% 15.38/2.48 given_termbuf els 10000000 last used 1
% 15.38/2.48 simplified_termbuf els 10000000 last used 1
% 15.38/2.48 derived_termbuf els 10000000 last used 36
% 15.38/2.48 wr_mallocs: 3925
% 15.38/2.48 wr_callocs: 21
% 15.38/2.48 wr_reallocs: 116
% 15.38/2.48 wr_frees: 2
% 15.38/2.48 wr_malloc_bytes: 4162721460
% 15.38/2.48 wr_calloc_bytes: 112065536
% 15.38/2.48 wr_realloc_bytes: 10880
% 15.38/2.48 wr_realloc_freebytes: 0
% 15.38/2.48 ----------------------------------
%------------------------------------------------------------------------------