TSTP Solution File: COL038-1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL038-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n015.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 18:26:57 EDT 2023
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named v_definition)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
apply(apply(apply(v,X),Y),Z) = apply(apply(Z,X),Y),
inference(cnf_transformation,[],[v_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(X,f(X)) != apply(f(X),apply(X,f(X))),
inference(cnf_transformation,[],[prove_fixed_point]) ).
cnf('4',plain,
apply(apply(apply(b,X3),Y3),f(apply(apply(b,X3),Y3))) != apply(f(apply(apply(b,X3),Y3)),apply(X3,apply(Y3,f(apply(apply(b,X3),Y3))))),
inference(paramodulation,[],['2','3']) ).
cnf('5',plain,
apply(X,apply(Y,f(apply(apply(b,X),Y)))) != apply(f(apply(apply(b,X),Y)),apply(X,apply(Y,f(apply(apply(b,X),Y))))),
inference(simplify,[],['4','2']) ).
cnf('6',plain,
apply(X3,apply(Y3,apply(Z3,f(apply(apply(b,X3),apply(apply(b,Y3),Z3)))))) != apply(f(apply(apply(b,X3),apply(apply(b,Y3),Z3))),apply(X3,apply(apply(apply(b,Y3),Z3),f(apply(apply(b,X3),apply(apply(b,Y3),Z3)))))),
inference(paramodulation,[],['2','5']) ).
cnf('7',plain,
apply(X,apply(Y,apply(Z,f(apply(apply(b,X),apply(apply(b,Y),Z)))))) != apply(f(apply(apply(b,X),apply(apply(b,Y),Z))),apply(X,apply(Y,apply(Z,f(apply(apply(b,X),apply(apply(b,Y),Z))))))),
inference(simplify,[],['6','2']) ).
cnf('8',plain,
apply(X3,apply(apply(apply(Y3,f(apply(apply(b,X3),apply(apply(b,apply(apply(v,Z3),U3)),Y3)))),Z3),U3)) != apply(f(apply(apply(b,X3),apply(apply(b,apply(apply(v,Z3),U3)),Y3))),apply(X3,apply(apply(apply(v,Z3),U3),apply(Y3,f(apply(apply(b,X3),apply(apply(b,apply(apply(v,Z3),U3)),Y3))))))),
inference(paramodulation,[],['1','7']) ).
cnf('9',plain,
apply(X,apply(apply(apply(Y,f(apply(apply(b,X),apply(apply(b,apply(apply(v,Z),U)),Y)))),Z),U)) != apply(f(apply(apply(b,X),apply(apply(b,apply(apply(v,Z),U)),Y))),apply(X,apply(apply(apply(Y,f(apply(apply(b,X),apply(apply(b,apply(apply(v,Z),U)),Y)))),Z),U))),
inference(simplify,[],['8','1']) ).
cnf('10',plain,
apply(X3,apply(apply(Y3,f(apply(apply(b,X3),apply(apply(b,apply(apply(v,Z3),Y3)),v)))),Z3)) != apply(f(apply(apply(b,X3),apply(apply(b,apply(apply(v,Z3),Y3)),v))),apply(X3,apply(apply(apply(v,f(apply(apply(b,X3),apply(apply(b,apply(apply(v,Z3),Y3)),v)))),Z3),Y3))),
inference(paramodulation,[],['1','9']) ).
cnf('11',plain,
apply(X,apply(apply(Y,f(apply(apply(b,X),apply(apply(b,apply(apply(v,Z),Y)),v)))),Z)) != apply(f(apply(apply(b,X),apply(apply(b,apply(apply(v,Z),Y)),v))),apply(X,apply(apply(Y,f(apply(apply(b,X),apply(apply(b,apply(apply(v,Z),Y)),v)))),Z))),
inference(simplify,[],['10','1']) ).
cnf('12',plain,
apply(m,X) = apply(X,X),
inference(cnf_transformation,[],[m_definition]) ).
cnf('13',plain,
apply(m,apply(apply(b,X),Y)) = apply(X,apply(Y,apply(apply(b,X),Y))),
inference(paramodulation,[],['2','12']) ).
cnf('14',plain,
$false,
inference(resolution,[],['11','13']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL038-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n015.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 05:33:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.39
% 0.19/0.39 input clause set summed statistics:
% 0.19/0.39 ----------------------------------
% 0.19/0.39 in_clause_count: 4
% 0.19/0.39 in_rule_clause_count: 4
% 0.19/0.39 in_fact_clause_count: 0
% 0.19/0.39 in_answer_clause_count: 0
% 0.19/0.39 in_ground_clause_count: 0
% 0.19/0.39 in_unit_clause_count: 4
% 0.19/0.39 in_horn_clause_count: 4
% 0.19/0.39 in_pos_clause_count: 3
% 0.19/0.39 in_neg_clause_count: 1
% 0.19/0.39 in_poseq_clause_count: 3
% 0.19/0.39 in_negeq_clause_count: 1
% 0.19/0.39 in_unitposeq_clause_count: 3
% 0.19/0.39 in_chain_clause_count: 0
% 0.19/0.39 in_min_length: 1
% 0.19/0.39 in_max_length: 1
% 0.19/0.39 in_min_depth: 2
% 0.19/0.39 in_max_depth: 4
% 0.19/0.39 in_min_size: 7
% 0.19/0.39 in_max_size: 13
% 0.19/0.39 in_min_vars: 1
% 0.19/0.39 in_max_vars: 3
% 0.19/0.39 in_extaxiom_count: 0
% 0.19/0.39 in_axiom_count: 3
% 0.19/0.39 in_assumption_count: 0
% 0.19/0.39 in_goal_count: 1
% 0.19/0.39 in_neg_goal_count: 1
% 0.19/0.39 in_pos_goal_count: 0
% 0.19/0.39 in_posunit_goal_count: 0
% 0.19/0.39
% 0.19/0.39 auto guide:
% 0.19/0.39 -----------
% 0.19/0.39 {
% 0.19/0.39 "print":1,
% 0.19/0.39 "print_level": 15,
% 0.19/0.39 "max_size": 0,
% 0.19/0.39 "max_depth": 0,
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% 0.19/0.39
% 0.19/0.39 **** run 8 fork 7 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.39
% 0.19/0.39 **** run 5 fork 4 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 fork 5: search terminated without proof.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 fork 6: search terminated without proof.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 fork 7: search terminated without proof.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 fork 0: search terminated without proof.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 fork 3: search terminated without proof.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 fork 2: search terminated without proof.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 fork 4: search terminated without proof.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 fork 1: search terminated without proof.
% 0.19/0.53
% 0.19/0.53 **** run 16 fork 7 starts with strategy
% 0.19/0.53 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 0.19/0.54
% 0.19/0.54 **** run 11 fork 2 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.54
% 0.19/0.54 **** run 9 fork 0 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 0.19/0.54
% 0.19/0.54 **** run 15 fork 6 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 0.19/0.54
% 0.19/0.54 **** run 14 fork 5 starts with strategy
% 0.19/0.54 {"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}
% 0.19/0.54
% 0.19/0.54 **** run 12 fork 3 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.19/0.54
% 0.19/0.54 **** run 13 fork 4 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.19/0.55
% 0.19/0.55 **** run 10 fork 1 starts with strategy
% 0.19/0.55 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.59
% 0.19/0.59
% 0.19/0.59 result: proof found
% 0.19/0.59 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.59 by run 10 fork 1 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.59
% 0.19/0.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.59
% 0.19/0.59 run 10 fork 1 statistics:
% 0.19/0.59 ----------------------------------
% 0.19/0.59 this run seconds: 0.024285
% 0.19/0.59 total seconds: 0.197666
% 0.19/0.59 stat_given_used: 46
% 0.19/0.59 stat_given_used_at_endgame: 0
% 0.19/0.59 stat_given_candidates: 123
% 0.19/0.59 stat_given_candidates_at_endgame: 0
% 0.19/0.59 stat_given_candidates_h: 0
% 0.19/0.59 stat_binres_derived_cl: 1
% 0.19/0.59 stat_binres_derived_cl_h: 0
% 0.19/0.59 stat_factor_derived_cl: 0
% 0.19/0.59 stat_para_derived_cl: 1016
% 0.19/0.59 stat_tautologies_discarded: 0
% 0.19/0.59 stat_forward_subsumed: 21
% 0.19/0.59 stat_derived_cut: 0
% 0.19/0.59 stat_derived_rewritten: 92
% 0.19/0.59 stat_weight_discarded_building: 0
% 0.19/0.59 stat_weight_discarded_cl: 0
% 0.19/0.59 stat_internlimit_discarded_cl: 0
% 0.19/0.59 stat_simplified: 92 simplified 0 derived 0 given
% 0.19/0.59 stat_kept_cl: 981
% 0.19/0.59 stat_built_cl: 1165
% 0.19/0.59 stat_hyperres_partial_cl: 0
% 0.19/0.59 stat_made_rewriters: 7
% 0.19/0.59 stat_backward_subsumed: 0
% 0.19/0.59 stat_propagated_subsumed: 0
% 0.19/0.59 stat_clsubs_attempted: 754
% 0.19/0.59 stat_clsubs_fact_groundunit_found: 0
% 0.19/0.59 stat_clsubs_rule_groundunit_found: 0
% 0.19/0.59 stat_clsubs_top_meta_attempted: 2161
% 0.19/0.59 stat_clsubs_top_meta_failed: 1407
% 0.19/0.59 stat_clsubs_top_meta_nonpref_attempted: 2161
% 0.19/0.59 stat_clsubs_top_meta_nonpref_succeeded: 1078
% 0.19/0.59 stat_clsubs_top_meta_pref_attempted: 1078
% 0.19/0.59 stat_clsubs_top_meta_pref1_succeeded: 912
% 0.19/0.59 stat_clsubs_top_meta_pref2_succeeded: 912
% 0.19/0.59 stat_clsubs_top_meta_pref3_succeeded: 754
% 0.19/0.59 stat_clsubs_top_meta_pref_succeeded: 754
% 0.19/0.59 stat_clsubs_meta_attempted: 754
% 0.19/0.59 stat_clsubs_meta_failed: 2
% 0.19/0.59 stat_clsubs_predsymbs_attempted: 0
% 0.19/0.59 stat_clsubs_unit_attempted: 754
% 0.19/0.59 stat_clsubs_full_attempted: 0
% 0.19/0.59 stat_forwardsubs_attempted: 1002
% 0.19/0.59 stat_lit_hash_added: 985
% 0.19/0.59 stat_lit_hash_computed: 2089
% 0.19/0.59 stat_lit_hash_match_found: 21
% 0.19/0.59 stat_lit_hash_match_miss: 2156
% 0.19/0.59 stat_lit_hash_cut_ok: 0
% 0.19/0.59 stat_lit_strong_cut_ok: 0
% 0.19/0.59 stat_lit_hash_subsume_ok: 21
% 0.19/0.59 clqueue els 10000000 used 1
% 0.19/0.59 clactive els 10000000 used 47
% 0.19/0.59 clactivesubsume els 10000000 used 277
% 0.19/0.59 queue_termbuf els 200000000 used 313928
% 0.19/0.59 hyper_termbuf els 100000000 used 1
% 0.19/0.59 active_termbuf els 100000000 used 7254
% 0.19/0.59 varstack els 5000 last used 1
% 0.19/0.59 given_termbuf els 10000000 last used 207
% 0.19/0.59 simplified_termbuf els 10000000 last used 1
% 0.19/0.59 derived_termbuf els 10000000 last used 3
% 0.19/0.59 wr_mallocs: 5351
% 0.19/0.59 wr_callocs: 21
% 0.19/0.59 wr_reallocs: 164
% 0.19/0.59 wr_frees: 2
% 0.19/0.59 wr_malloc_bytes: 4162766820
% 0.19/0.59 wr_calloc_bytes: 112065536
% 0.19/0.59 wr_realloc_bytes: 17384
% 0.19/0.59 wr_realloc_freebytes: 0
% 0.19/0.59 ----------------------------------
%------------------------------------------------------------------------------