TSTP Solution File: COL064-1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL064-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n032.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 18:27:13 EDT 2023
% Result : Unsatisfiable 14.89s 2.42s
% Output : CNFRefutation 14.89s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named t_definition)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
apply(apply(t,X),Y) = apply(Y,X),
inference(cnf_transformation,[],[t_definition]) ).
cnf('2',plain,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
inference(cnf_transformation,[],[b_definition]) ).
cnf('3',plain,
apply(apply(apply(X,f(X)),g(X)),h(X)) != apply(apply(h(X),f(X)),g(X)),
inference(cnf_transformation,[],[prove_v_combinator]) ).
cnf('4',plain,
apply(apply(apply(X,apply(Y,f(apply(apply(b,X),Y)))),g(apply(apply(b,X),Y))),h(apply(apply(b,X),Y))) != apply(apply(h(apply(apply(b,X),Y)),f(apply(apply(b,X),Y))),g(apply(apply(b,X),Y))),
inference(paramodulation,[],['2','3']) ).
cnf('5',plain,
apply(apply(apply(apply(X,f(apply(apply(b,apply(t,Y)),X))),Y),g(apply(apply(b,apply(t,Y)),X))),h(apply(apply(b,apply(t,Y)),X))) != apply(apply(h(apply(apply(b,apply(t,Y)),X)),f(apply(apply(b,apply(t,Y)),X))),g(apply(apply(b,apply(t,Y)),X))),
inference(paramodulation,[],['1','4']) ).
cnf('6',plain,
apply(apply(apply(apply(X,apply(Y,f(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y))))),Z),g(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))),h(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))) != apply(apply(h(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y))),f(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))),g(apply(apply(b,apply(t,Z)),apply(apply(b,X),Y)))),
inference(paramodulation,[],['2','5']) ).
cnf('7',plain,
apply(apply(apply(X,f(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))),apply(Y,g(apply(apply(b,apply(t,Y)),apply(apply(b,b),X))))),h(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))) != apply(apply(h(apply(apply(b,apply(t,Y)),apply(apply(b,b),X))),f(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))),g(apply(apply(b,apply(t,Y)),apply(apply(b,b),X)))),
inference(paramodulation,[],['2','6']) ).
cnf('8',plain,
apply(apply(apply(X,apply(Y,f(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y)))))),apply(Z,g(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y)))))),h(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y))))) != apply(apply(h(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y)))),f(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y))))),g(apply(apply(b,apply(t,Z)),apply(apply(b,b),apply(apply(b,X),Y))))),
inference(paramodulation,[],['2','7']) ).
cnf('9',plain,
apply(apply(apply(X,g(apply(apply(b,apply(t,X)),apply(apply(b,b),apply(apply(b,t),Y))))),apply(Y,f(apply(apply(b,apply(t,X)),apply(apply(b,b),apply(apply(b,t),Y)))))),h(apply(apply(b,apply(t,X)),apply(apply(b,b),apply(apply(b,t),Y))))) != apply(apply(h(apply(apply(b,apply(t,X)),apply(apply(b,b),apply(apply(b,t),Y)))),f(apply(apply(b,apply(t,X)),apply(apply(b,b),apply(apply(b,t),Y))))),g(apply(apply(b,apply(t,X)),apply(apply(b,b),apply(apply(b,t),Y))))),
inference(paramodulation,[],['1','8']) ).
cnf('10',plain,
apply(apply(apply(X,apply(Y,g(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),apply(apply(b,t),Z)))))),apply(Z,f(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),apply(apply(b,t),Z)))))),h(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),apply(apply(b,t),Z))))) != apply(apply(h(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),apply(apply(b,t),Z)))),f(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),apply(apply(b,t),Z))))),g(apply(apply(b,apply(t,apply(apply(b,X),Y))),apply(apply(b,b),apply(apply(b,t),Z))))),
inference(paramodulation,[],['2','9']) ).
cnf('11',plain,
apply(apply(X,g(apply(apply(b,apply(t,apply(apply(b,b),X))),apply(apply(b,b),apply(apply(b,t),Y))))),apply(apply(Y,f(apply(apply(b,apply(t,apply(apply(b,b),X))),apply(apply(b,b),apply(apply(b,t),Y))))),h(apply(apply(b,apply(t,apply(apply(b,b),X))),apply(apply(b,b),apply(apply(b,t),Y)))))) != apply(apply(h(apply(apply(b,apply(t,apply(apply(b,b),X))),apply(apply(b,b),apply(apply(b,t),Y)))),f(apply(apply(b,apply(t,apply(apply(b,b),X))),apply(apply(b,b),apply(apply(b,t),Y))))),g(apply(apply(b,apply(t,apply(apply(b,b),X))),apply(apply(b,b),apply(apply(b,t),Y))))),
inference(paramodulation,[],['2','10']) ).
cnf('12',plain,
apply(apply(t,X0),X1) = apply(X1,X0),
inference(cnf_transformation,[],[t_definition]) ).
cnf('13',plain,
$false,
inference(paramodulation,[then_simplify],['1','11','12']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : COL064-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : gkc %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Aug 27 05:26:14 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.33
% 0.09/0.33 input clause set summed statistics:
% 0.09/0.33 ----------------------------------
% 0.09/0.33 in_clause_count: 3
% 0.09/0.33 in_rule_clause_count: 3
% 0.09/0.33 in_fact_clause_count: 0
% 0.09/0.33 in_answer_clause_count: 0
% 0.09/0.33 in_ground_clause_count: 0
% 0.09/0.33 in_unit_clause_count: 3
% 0.09/0.33 in_horn_clause_count: 3
% 0.09/0.33 in_pos_clause_count: 2
% 0.09/0.33 in_neg_clause_count: 1
% 0.09/0.33 in_poseq_clause_count: 2
% 0.09/0.33 in_negeq_clause_count: 1
% 0.09/0.33 in_unitposeq_clause_count: 2
% 0.09/0.33 in_chain_clause_count: 0
% 0.09/0.33 in_min_length: 1
% 0.09/0.33 in_max_length: 1
% 0.09/0.33 in_min_depth: 3
% 0.09/0.33 in_max_depth: 5
% 0.09/0.33 in_min_size: 9
% 0.09/0.33 in_max_size: 19
% 0.09/0.33 in_min_vars: 1
% 0.09/0.33 in_max_vars: 3
% 0.09/0.33 in_extaxiom_count: 0
% 0.09/0.33 in_axiom_count: 2
% 0.09/0.33 in_assumption_count: 0
% 0.09/0.33 in_goal_count: 1
% 0.09/0.33 in_neg_goal_count: 1
% 0.09/0.33 in_pos_goal_count: 0
% 0.09/0.33 in_posunit_goal_count: 0
% 0.09/0.33
% 0.09/0.33 auto guide:
% 0.09/0.33 -----------
% 0.09/0.33 {
% 0.09/0.33 "print":1,
% 0.09/0.33 "print_level": 15,
% 0.09/0.33 "max_size": 0,
% 0.09/0.33 "max_depth": 0,
% 0.09/0.33 "max_length": 0,
% 0.09/0.33 "max_dseconds": 0,
% 0.09/0.33 "runs":[
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
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% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
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% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 1},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 2},
% 0.09/0.33 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
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% 0.09/0.33 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
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% 0.09/0.33
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% 0.09/0.33 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.09/0.33 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.09/0.33 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.09/0.33 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.09/0.33 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.09/0.33 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.09/0.33 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
% 0.09/0.33 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
% 0.09/0.33 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 7.76/1.51
% 7.76/1.51 **** run 74 fork 1 starts with strategy
% 7.76/1.51 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 13.36/2.28
% 13.36/2.28
% 13.36/2.28 fork 3: search terminated without proof.
% 14.02/2.30
% 14.02/2.30
% 14.02/2.30 fork 2: search terminated without proof.
% 14.64/2.32
% 14.64/2.32
% 14.64/2.32 fork 7: search terminated without proof.
% 14.64/2.33
% 14.64/2.33 **** run 76 fork 3 starts with strategy
% 14.64/2.33 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 14.64/2.34
% 14.64/2.34
% 14.64/2.34 fork 4: search terminated without proof.
% 14.89/2.37
% 14.89/2.37 **** run 75 fork 2 starts with strategy
% 14.89/2.37 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 14.89/2.39
% 14.89/2.39 **** run 80 fork 7 starts with strategy
% 14.89/2.39 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 14.89/2.40
% 14.89/2.40 **** run 77 fork 4 starts with strategy
% 14.89/2.40 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 14.89/2.42
% 14.89/2.42
% 14.89/2.42 result: proof found
% 14.89/2.42 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.89/2.42 by run 70 fork 5 strategy {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 14.89/2.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.89/2.42
% 14.89/2.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.89/2.42
% 14.89/2.42 run 70 fork 5 statistics:
% 14.89/2.42 ----------------------------------
% 14.89/2.42 this run seconds: 0.432148
% 14.89/2.42 total seconds: 1.400685
% 14.89/2.42 stat_given_used: 3003
% 14.89/2.42 stat_given_used_at_endgame: 0
% 14.89/2.42 stat_given_candidates: 3159
% 14.89/2.42 stat_given_candidates_at_endgame: 0
% 14.89/2.42 stat_given_candidates_h: 0
% 14.89/2.42 stat_binres_derived_cl: 0
% 14.89/2.42 stat_binres_derived_cl_h: 0
% 14.89/2.42 stat_factor_derived_cl: 0
% 14.89/2.42 stat_para_derived_cl: 10080
% 14.89/2.42 stat_tautologies_discarded: 0
% 14.89/2.42 stat_forward_subsumed: 1948
% 14.89/2.42 stat_derived_cut: 1
% 14.89/2.42 stat_derived_rewritten: 0
% 14.89/2.42 stat_weight_discarded_building: 0
% 14.89/2.42 stat_weight_discarded_cl: 0
% 14.89/2.42 stat_internlimit_discarded_cl: 0
% 14.89/2.42 stat_simplified: 0 simplified 0 derived 0 given
% 14.89/2.42 stat_kept_cl: 8127
% 14.89/2.42 stat_built_cl: 14133
% 14.89/2.42 stat_hyperres_partial_cl: 0
% 14.89/2.42 stat_made_rewriters: 2
% 14.89/2.42 stat_backward_subsumed: 0
% 14.89/2.42 stat_propagated_subsumed: 0
% 14.89/2.42 stat_clsubs_attempted: 968499
% 14.89/2.42 stat_clsubs_fact_groundunit_found: 0
% 14.89/2.42 stat_clsubs_rule_groundunit_found: 9
% 14.89/2.42 stat_clsubs_top_meta_attempted: 4215178
% 14.89/2.42 stat_clsubs_top_meta_failed: 3246679
% 14.89/2.42 stat_clsubs_top_meta_nonpref_attempted: 4215178
% 14.89/2.42 stat_clsubs_top_meta_nonpref_succeeded: 1261556
% 14.89/2.42 stat_clsubs_top_meta_pref_attempted: 1261556
% 14.89/2.42 stat_clsubs_top_meta_pref1_succeeded: 1257901
% 14.89/2.42 stat_clsubs_top_meta_pref2_succeeded: 1257901
% 14.89/2.42 stat_clsubs_top_meta_pref3_succeeded: 968499
% 14.89/2.42 stat_clsubs_top_meta_pref_succeeded: 968499
% 14.89/2.42 stat_clsubs_meta_attempted: 968499
% 14.89/2.42 stat_clsubs_meta_failed: 0
% 14.89/2.42 stat_clsubs_predsymbs_attempted: 0
% 14.89/2.42 stat_clsubs_unit_attempted: 968499
% 14.89/2.42 stat_clsubs_full_attempted: 0
% 14.89/2.42 stat_forwardsubs_attempted: 10076
% 14.89/2.42 stat_lit_hash_added: 8317
% 14.89/2.42 stat_lit_hash_computed: 21734
% 14.89/2.42 stat_lit_hash_match_found: 1957
% 14.89/2.42 stat_lit_hash_match_miss: 19588
% 14.89/2.42 stat_lit_hash_cut_ok: 0
% 14.89/2.42 stat_lit_strong_cut_ok: 1
% 14.89/2.42 stat_lit_hash_subsume_ok: 1948
% 14.89/2.42 clqueue els 10000000 used 1
% 14.89/2.42 clactive els 10000000 used 3004
% 14.89/2.42 clactivesubsume els 10000000 used 16897
% 14.89/2.42 queue_termbuf els 200000000 used 3832130
% 14.89/2.42 hyper_termbuf els 100000000 used 1
% 14.89/2.42 active_termbuf els 100000000 used 1212945
% 14.89/2.42 varstack els 5000 last used 1
% 14.89/2.42 given_termbuf els 10000000 last used 1
% 14.89/2.42 simplified_termbuf els 10000000 last used 1
% 14.89/2.42 derived_termbuf els 10000000 last used 508
% 14.89/2.42 wr_mallocs: 329816
% 14.89/2.42 wr_callocs: 21
% 14.89/2.42 wr_reallocs: 1409
% 14.89/2.42 wr_frees: 2
% 14.89/2.42 wr_malloc_bytes: 4173249924
% 14.89/2.42 wr_calloc_bytes: 112065536
% 14.89/2.42 wr_realloc_bytes: 250664
% 14.89/2.42 wr_realloc_freebytes: 0
% 14.89/2.42 ----------------------------------
%------------------------------------------------------------------------------