TSTP Solution File: GRP451-1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP451-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n019.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 : Thu Aug 31 00:54:16 EDT 2023
% Result : Unsatisfiable 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named multiply)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[],[multiply]) ).
cnf('2',plain,
inverse(X) = divide(divide(Y,Y),X),
inference(cnf_transformation,[],[inverse]) ).
cnf('3',plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference(simplify,[],['1','2']) ).
cnf('4',plain,
inverse(X) = divide(multiply(inverse(Y),Y),X),
inference(paramodulation,[],['3','2']) ).
cnf('5',plain,
inverse(X) = divide(inverse(divide(Y,Y)),X),
inference(paramodulation,[],['2','2']) ).
cnf('6',plain,
inverse(X) = divide(inverse(inverse(multiply(inverse(Y),Y))),X),
inference(paramodulation,[],['4','5']) ).
cnf('7',plain,
divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(cnf_transformation,[],[single_axiom]) ).
cnf('8',plain,
divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) = Y,
inference(simplify,[then_simplify],['7','2','2']) ).
cnf('9',plain,
divide(inverse(divide(divide(X3,X3),divide(Y3,inverse(Z3)))),Z3) = Y3,
inference(paramodulation,[],['5','8']) ).
cnf('10',plain,
divide(inverse(inverse(multiply(X,Y))),Y) = X,
inference(simplify,[then_simplify],['9','3','2']) ).
cnf('11',plain,
multiply(inverse(inverse(multiply(X,inverse(Y)))),Y) = X,
inference(paramodulation,[],['10','3']) ).
cnf('12',plain,
divide(inverse(inverse(X)),Y) = inverse(inverse(multiply(X,inverse(Y)))),
inference(paramodulation,[],['11','10']) ).
cnf('13',plain,
multiply(divide(inverse(inverse(X)),Y),Y) = X,
inference(paramodulation,[],['12','11']) ).
cnf('14',plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[],[prove_these_axioms_1]) ).
cnf('15',plain,
$false,
inference(paramodulation,[then_simplify],['6','13','14']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP451-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.12 % Command : gkc %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 23:21:13 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.38
% 0.18/0.38 input clause set summed statistics:
% 0.18/0.38 ----------------------------------
% 0.18/0.38 in_clause_count: 4
% 0.18/0.38 in_rule_clause_count: 4
% 0.18/0.38 in_fact_clause_count: 0
% 0.18/0.38 in_answer_clause_count: 0
% 0.18/0.38 in_ground_clause_count: 1
% 0.18/0.38 in_unit_clause_count: 4
% 0.18/0.38 in_horn_clause_count: 4
% 0.18/0.38 in_pos_clause_count: 3
% 0.18/0.38 in_neg_clause_count: 1
% 0.18/0.38 in_poseq_clause_count: 3
% 0.18/0.38 in_negeq_clause_count: 1
% 0.18/0.38 in_unitposeq_clause_count: 3
% 0.18/0.38 in_chain_clause_count: 0
% 0.18/0.38 in_min_length: 1
% 0.18/0.38 in_max_length: 1
% 0.18/0.38 in_min_depth: 3
% 0.18/0.38 in_max_depth: 8
% 0.18/0.38 in_min_size: 8
% 0.18/0.38 in_max_size: 19
% 0.18/0.38 in_min_vars: 0
% 0.18/0.38 in_max_vars: 3
% 0.18/0.38 in_extaxiom_count: 0
% 0.18/0.38 in_axiom_count: 3
% 0.18/0.38 in_assumption_count: 0
% 0.18/0.38 in_goal_count: 1
% 0.18/0.38 in_neg_goal_count: 1
% 0.18/0.38 in_pos_goal_count: 0
% 0.18/0.38 in_posunit_goal_count: 0
% 0.18/0.38
% 0.18/0.38 auto guide:
% 0.18/0.38 -----------
% 0.18/0.38 {
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% 0.18/0.38
% 0.18/0.39
% 0.18/0.39 **** run 1 fork 0 starts with strategy
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% 0.18/0.39
% 0.18/0.39 **** run 2 fork 1 starts with strategy
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% 0.18/0.39
% 0.18/0.39 **** run 3 fork 2 starts with strategy
% 0.18/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.18/0.39
% 0.18/0.39 **** run 4 fork 3 starts with strategy
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% 0.18/0.39
% 0.18/0.39 **** run 5 fork 4 starts with strategy
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% 0.18/0.39
% 0.18/0.39 **** run 6 fork 5 starts with strategy
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% 0.18/0.39
% 0.18/0.39 **** run 7 fork 6 starts with strategy
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% 0.18/0.40
% 0.18/0.40 **** run 8 fork 7 starts with strategy
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% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 result: proof found
% 0.18/0.42 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 by run 2 fork 1 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.18/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42
% 0.18/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.42
% 0.18/0.42 run 2 fork 1 statistics:
% 0.18/0.42 ----------------------------------
% 0.18/0.42 this run seconds: 0.011056
% 0.18/0.42 total seconds: 0.038835
% 0.18/0.42 stat_given_used: 24
% 0.18/0.42 stat_given_used_at_endgame: 0
% 0.18/0.42 stat_given_candidates: 44
% 0.18/0.42 stat_given_candidates_at_endgame: 0
% 0.18/0.42 stat_given_candidates_h: 0
% 0.18/0.42 stat_binres_derived_cl: 0
% 0.18/0.42 stat_binres_derived_cl_h: 0
% 0.18/0.42 stat_factor_derived_cl: 0
% 0.18/0.42 stat_para_derived_cl: 359
% 0.18/0.42 stat_tautologies_discarded: 0
% 0.18/0.42 stat_forward_subsumed: 117
% 0.18/0.42 stat_derived_cut: 1
% 0.18/0.42 stat_derived_rewritten: 3
% 0.18/0.42 stat_weight_discarded_building: 0
% 0.18/0.42 stat_weight_discarded_cl: 0
% 0.18/0.42 stat_internlimit_discarded_cl: 0
% 0.18/0.42 stat_simplified: 3 simplified 0 derived 0 given
% 0.18/0.42 stat_kept_cl: 189
% 0.18/0.42 stat_built_cl: 240
% 0.18/0.42 stat_hyperres_partial_cl: 0
% 0.18/0.42 stat_made_rewriters: 23
% 0.18/0.42 stat_backward_subsumed: 0
% 0.18/0.42 stat_propagated_subsumed: 0
% 0.18/0.42 stat_clsubs_attempted: 91
% 0.18/0.42 stat_clsubs_fact_groundunit_found: 0
% 0.18/0.42 stat_clsubs_rule_groundunit_found: 1
% 0.18/0.42 stat_clsubs_top_meta_attempted: 253
% 0.18/0.42 stat_clsubs_top_meta_failed: 162
% 0.18/0.42 stat_clsubs_top_meta_nonpref_attempted: 253
% 0.18/0.42 stat_clsubs_top_meta_nonpref_succeeded: 162
% 0.18/0.42 stat_clsubs_top_meta_pref_attempted: 162
% 0.18/0.42 stat_clsubs_top_meta_pref1_succeeded: 162
% 0.18/0.42 stat_clsubs_top_meta_pref2_succeeded: 91
% 0.18/0.42 stat_clsubs_top_meta_pref3_succeeded: 91
% 0.18/0.42 stat_clsubs_top_meta_pref_succeeded: 91
% 0.18/0.42 stat_clsubs_meta_attempted: 91
% 0.18/0.42 stat_clsubs_meta_failed: 0
% 0.18/0.42 stat_clsubs_predsymbs_attempted: 0
% 0.18/0.42 stat_clsubs_unit_attempted: 91
% 0.18/0.42 stat_clsubs_full_attempted: 0
% 0.18/0.42 stat_forwardsubs_attempted: 307
% 0.18/0.42 stat_lit_hash_added: 194
% 0.18/0.42 stat_lit_hash_computed: 528
% 0.18/0.42 stat_lit_hash_match_found: 118
% 0.18/0.42 stat_lit_hash_match_miss: 409
% 0.18/0.42 stat_lit_hash_cut_ok: 0
% 0.18/0.42 stat_lit_strong_cut_ok: 1
% 0.18/0.42 stat_lit_hash_subsume_ok: 117
% 0.18/0.42 clqueue els 10000000 used 1
% 0.18/0.42 clactive els 10000000 used 25
% 0.18/0.42 clactivesubsume els 10000000 used 139
% 0.18/0.42 queue_termbuf els 200000000 used 15364
% 0.18/0.42 hyper_termbuf els 100000000 used 1
% 0.18/0.42 active_termbuf els 100000000 used 1121
% 0.18/0.42 varstack els 5000 last used 1
% 0.18/0.42 given_termbuf els 10000000 last used 1
% 0.18/0.42 simplified_termbuf els 10000000 last used 1
% 0.18/0.42 derived_termbuf els 10000000 last used 10
% 0.18/0.42 wr_mallocs: 1080
% 0.18/0.42 wr_callocs: 21
% 0.18/0.42 wr_reallocs: 11
% 0.18/0.42 wr_frees: 2
% 0.18/0.42 wr_malloc_bytes: 4162615764
% 0.18/0.42 wr_calloc_bytes: 112065536
% 0.18/0.42 wr_realloc_bytes: 1664
% 0.18/0.42 wr_realloc_freebytes: 0
% 0.18/0.42 ----------------------------------
%------------------------------------------------------------------------------