TSTP Solution File: COL001-2 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n021.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 18:26:41 EDT 2023
% Result : Unsatisfiable 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named k_definition)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
apply(apply(k,X),Y) = X,
inference(cnf_transformation,[],[k_definition]) ).
cnf('2',plain,
apply(i,X) = X,
inference(cnf_transformation,[],[i_definition]) ).
cnf('3',plain,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
inference(cnf_transformation,[],[s_definition]) ).
cnf('4',plain,
apply(apply(apply(s,apply(X,Y)),Z),apply(U,Y)) = apply(apply(apply(apply(s,X),U),Y),apply(Z,apply(U,Y))),
inference(paramodulation,[],['3','3']) ).
cnf('5',plain,
apply(apply(apply(s,apply(X,Y)),i),apply(Z,Y)) = apply(apply(apply(apply(s,X),Z),Y),apply(Z,Y)),
inference(paramodulation,[],['2','4']) ).
cnf('6',plain,
apply(apply(apply(s,apply(X3,Y3)),i),Z3) = apply(apply(apply(apply(s,X3),apply(k,Z3)),Y3),apply(apply(k,Z3),Y3)),
inference(paramodulation,[],['1','5']) ).
cnf('7',plain,
apply(apply(apply(s,X),apply(k,Y)),Z) = apply(apply(X,Z),Y),
inference(paramodulation,[],['1','3']) ).
cnf('8',plain,
apply(apply(apply(s,apply(X,Y)),i),Z) = apply(apply(apply(X,Y),Z),Z),
inference(simplify,[then_simplify],['6','7','1']) ).
cnf('9',plain,
apply(apply(apply(s,apply(k,X)),Y),Z) = apply(X,apply(Y,Z)),
inference(paramodulation,[],['1','3']) ).
cnf('10',plain,
X0 != apply(combinator,X0),
inference(cnf_transformation,[],[prove_fixed_point]) ).
cnf('11',plain,
$false,
inference(paramodulation,[then_simplify],['8','9','10']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n021.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 04:42:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.38
% 0.13/0.38 input clause set summed statistics:
% 0.13/0.38 ----------------------------------
% 0.13/0.38 in_clause_count: 6
% 0.13/0.38 in_rule_clause_count: 6
% 0.13/0.38 in_fact_clause_count: 0
% 0.13/0.38 in_answer_clause_count: 0
% 0.13/0.38 in_ground_clause_count: 0
% 0.13/0.38 in_unit_clause_count: 6
% 0.13/0.38 in_horn_clause_count: 6
% 0.13/0.38 in_pos_clause_count: 5
% 0.13/0.38 in_neg_clause_count: 1
% 0.13/0.38 in_poseq_clause_count: 5
% 0.13/0.38 in_negeq_clause_count: 1
% 0.13/0.38 in_unitposeq_clause_count: 5
% 0.13/0.38 in_chain_clause_count: 0
% 0.13/0.38 in_min_length: 1
% 0.13/0.38 in_max_length: 1
% 0.13/0.38 in_min_depth: 2
% 0.13/0.38 in_max_depth: 6
% 0.13/0.38 in_min_size: 5
% 0.13/0.38 in_max_size: 33
% 0.13/0.38 in_min_vars: 1
% 0.13/0.38 in_max_vars: 3
% 0.13/0.38 in_extaxiom_count: 0
% 0.13/0.38 in_axiom_count: 5
% 0.13/0.38 in_assumption_count: 0
% 0.13/0.38 in_goal_count: 1
% 0.13/0.38 in_neg_goal_count: 1
% 0.13/0.38 in_pos_goal_count: 0
% 0.13/0.38 in_posunit_goal_count: 0
% 0.13/0.38
% 0.13/0.38 auto guide:
% 0.13/0.38 -----------
% 0.13/0.38 {
% 0.13/0.38 "print":1,
% 0.13/0.38 "print_level": 15,
% 0.13/0.38 "max_size": 0,
% 0.13/0.38 "max_depth": 0,
% 0.13/0.38 "max_length": 0,
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% 0.13/0.39
% 0.13/0.39 ]}
% 0.13/0.39
% 0.20/0.39
% 0.20/0.39 **** run 1 fork 0 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.39
% 0.20/0.39 **** run 2 fork 1 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.39
% 0.20/0.39 **** run 3 fork 2 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.39
% 0.20/0.39 **** run 4 fork 3 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.20/0.39
% 0.20/0.39 **** run 5 fork 4 starts with strategy
% 0.20/0.39
% 0.20/0.39 **** run 8 fork 7 starts with strategy
% 0.20/0.39
% 0.20/0.39 **** run 6 fork 5 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.20/0.39
% 0.20/0.39 **** run 7 fork 6 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.20/0.40 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 result: proof found
% 0.20/0.46 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 by run 5 fork 4 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.20/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46
% 0.20/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.46
% 0.20/0.46 run 5 fork 4 statistics:
% 0.20/0.46 ----------------------------------
% 0.20/0.46 this run seconds: 0.050233
% 0.20/0.46 total seconds: 0.072601
% 0.20/0.46 stat_given_used: 32
% 0.20/0.46 stat_given_used_at_endgame: 0
% 0.20/0.46 stat_given_candidates: 253
% 0.20/0.46 stat_given_candidates_at_endgame: 0
% 0.20/0.46 stat_given_candidates_h: 0
% 0.20/0.46 stat_binres_derived_cl: 0
% 0.20/0.46 stat_binres_derived_cl_h: 0
% 0.20/0.46 stat_factor_derived_cl: 0
% 0.20/0.46 stat_para_derived_cl: 3544
% 0.20/0.46 stat_tautologies_discarded: 0
% 0.20/0.46 stat_forward_subsumed: 802
% 0.20/0.46 stat_derived_cut: 1
% 0.20/0.46 stat_derived_rewritten: 40
% 0.20/0.46 stat_weight_discarded_building: 0
% 0.20/0.46 stat_weight_discarded_cl: 0
% 0.20/0.46 stat_internlimit_discarded_cl: 0
% 0.20/0.46 stat_simplified: 40 simplified 0 derived 0 given
% 0.20/0.46 stat_kept_cl: 2617
% 0.20/0.46 stat_built_cl: 2721
% 0.20/0.46 stat_hyperres_partial_cl: 0
% 0.20/0.46 stat_made_rewriters: 22
% 0.20/0.46 stat_backward_subsumed: 0
% 0.20/0.46 stat_propagated_subsumed: 0
% 0.20/0.46 stat_clsubs_attempted: 322
% 0.20/0.46 stat_clsubs_fact_groundunit_found: 0
% 0.20/0.46 stat_clsubs_rule_groundunit_found: 0
% 0.20/0.46 stat_clsubs_top_meta_attempted: 917
% 0.20/0.46 stat_clsubs_top_meta_failed: 595
% 0.20/0.46 stat_clsubs_top_meta_nonpref_attempted: 917
% 0.20/0.46 stat_clsubs_top_meta_nonpref_succeeded: 381
% 0.20/0.46 stat_clsubs_top_meta_pref_attempted: 381
% 0.20/0.46 stat_clsubs_top_meta_pref1_succeeded: 381
% 0.20/0.46 stat_clsubs_top_meta_pref2_succeeded: 381
% 0.20/0.46 stat_clsubs_top_meta_pref3_succeeded: 322
% 0.20/0.46 stat_clsubs_top_meta_pref_succeeded: 322
% 0.20/0.46 stat_clsubs_meta_attempted: 322
% 0.20/0.46 stat_clsubs_meta_failed: 28
% 0.20/0.46 stat_clsubs_predsymbs_attempted: 0
% 0.20/0.46 stat_clsubs_unit_attempted: 322
% 0.20/0.46 stat_clsubs_full_attempted: 0
% 0.20/0.46 stat_forwardsubs_attempted: 3420
% 0.20/0.46 stat_lit_hash_added: 2623
% 0.20/0.46 stat_lit_hash_computed: 6123
% 0.20/0.46 stat_lit_hash_match_found: 816
% 0.20/0.46 stat_lit_hash_match_miss: 5342
% 0.20/0.46 stat_lit_hash_cut_ok: 0
% 0.20/0.46 stat_lit_strong_cut_ok: 1
% 0.20/0.46 stat_lit_hash_subsume_ok: 802
% 0.20/0.46 clqueue els 10000000 used 1
% 0.20/0.46 clactive els 10000000 used 33
% 0.20/0.46 clactivesubsume els 10000000 used 193
% 0.20/0.46 queue_termbuf els 200000000 used 353180
% 0.20/0.46 hyper_termbuf els 100000000 used 1
% 0.20/0.46 active_termbuf els 100000000 used 2062
% 0.20/0.46 varstack els 5000 last used 1
% 0.20/0.46 given_termbuf els 10000000 last used 1
% 0.20/0.46 simplified_termbuf els 10000000 last used 1
% 0.20/0.46 derived_termbuf els 10000000 last used 100
% 0.20/0.46 wr_mallocs: 11258
% 0.20/0.46 wr_callocs: 21
% 0.20/0.46 wr_reallocs: 207
% 0.20/0.46 wr_frees: 2
% 0.20/0.46 wr_malloc_bytes: 4162993412
% 0.20/0.46 wr_calloc_bytes: 112065536
% 0.20/0.46 wr_realloc_bytes: 24568
% 0.20/0.46 wr_realloc_freebytes: 0
% 0.20/0.46 ----------------------------------
%------------------------------------------------------------------------------