%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM228-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 : 600s
% DateTime : Mon Jul 18 14:16:57 EDT 2022
% Result : Unsatisfiable 0.67s 0.89s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM228-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : sos-script %s
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Thu Jul 7 07:38:29 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.34 ----- Otter 3.2, August 2001 -----
% 0.16/0.34 The process was started by sandbox on n024.cluster.edu,
% 0.16/0.34 Thu Jul 7 07:38:29 2022
% 0.16/0.34 The command was "./sos". The process ID is 27013.
% 0.16/0.34
% 0.16/0.34 set(prolog_style_variables).
% 0.16/0.34 set(auto).
% 0.16/0.34 dependent: set(auto1).
% 0.16/0.34 dependent: set(process_input).
% 0.16/0.34 dependent: clear(print_kept).
% 0.16/0.34 dependent: clear(print_new_demod).
% 0.16/0.34 dependent: clear(print_back_demod).
% 0.16/0.34 dependent: clear(print_back_sub).
% 0.16/0.34 dependent: set(control_memory).
% 0.16/0.34 dependent: assign(max_mem, 12000).
% 0.16/0.34 dependent: assign(pick_given_ratio, 4).
% 0.16/0.34 dependent: assign(stats_level, 1).
% 0.16/0.34 dependent: assign(pick_semantic_ratio, 3).
% 0.16/0.34 dependent: assign(sos_limit, 5000).
% 0.16/0.34 dependent: assign(max_weight, 60).
% 0.16/0.34 clear(print_given).
% 0.16/0.34
% 0.16/0.34 list(usable).
% 0.16/0.34
% 0.16/0.34 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.16/0.34
% 0.16/0.34 This ia a non-Horn set with equality. The strategy will be
% 0.16/0.34 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.16/0.34 unit deletion, with positive clauses in sos and nonpositive
% 0.16/0.34 clauses in usable.
% 0.16/0.34
% 0.16/0.34 dependent: set(knuth_bendix).
% 0.16/0.34 dependent: set(para_from).
% 0.16/0.34 dependent: set(para_into).
% 0.16/0.34 dependent: clear(para_from_right).
% 0.16/0.34 dependent: clear(para_into_right).
% 0.16/0.34 dependent: set(para_from_vars).
% 0.16/0.34 dependent: set(eq_units_both_ways).
% 0.16/0.34 dependent: set(dynamic_demod_all).
% 0.16/0.34 dependent: set(dynamic_demod).
% 0.16/0.34 dependent: set(order_eq).
% 0.16/0.34 dependent: set(back_demod).
% 0.16/0.34 dependent: set(lrpo).
% 0.16/0.34 dependent: set(hyper_res).
% 0.16/0.34 dependent: set(unit_deletion).
% 0.16/0.34 dependent: set(factor).
% 0.16/0.34
% 0.16/0.34 ------------> process usable:
% 0.16/0.34
% 0.16/0.34 ------------> process sos:
% 0.16/0.34 Following clause subsumed by 222 during input processing: 0 [copy,222,flip.1] {-} A=A.
% 0.16/0.34 222 back subsumes 111.
% 0.16/0.34
% 0.16/0.34 ======= end of input processing =======
% 0.67/0.86
% 0.67/0.86 Stopped by limit on insertions
% 0.67/0.86
% 0.67/0.86
% 0.67/0.86 Failed to model usable list: disabling FINDER
% 0.67/0.86
% 0.67/0.86
% 0.67/0.86
% 0.67/0.86 -------------- Softie stats --------------
% 0.67/0.86
% 0.67/0.86 UPDATE_STOP: 300
% 0.67/0.86 SFINDER_TIME_LIMIT: 2
% 0.67/0.86 SHORT_CLAUSE_CUTOFF: 4
% 0.67/0.86 number of clauses in intial UL: 89
% 0.67/0.86 number of clauses initially in problem: 198
% 0.67/0.86 percentage of clauses intially in UL: 44
% 0.67/0.86 percentage of distinct symbols occuring in initial UL: 65
% 0.67/0.86 percent of all initial clauses that are short: 100
% 0.67/0.86 absolute distinct symbol count: 80
% 0.67/0.86 distinct predicate count: 17
% 0.67/0.86 distinct function count: 44
% 0.67/0.86 distinct constant count: 19
% 0.67/0.86
% 0.67/0.86 ---------- no more Softie stats ----------
% 0.67/0.86
% 0.67/0.86
% 0.67/0.86
% 0.67/0.86 =========== start of search ===========
% 0.67/0.89
% 0.67/0.89 -------- PROOF --------
% 0.67/0.89 % SZS status Unsatisfiable
% 0.67/0.89 % SZS output start Refutation
% 0.67/0.89
% 0.67/0.89 ----> UNIT CONFLICT at 0.54 sec ----> 2436 [binary,2434.1,110.1] {-} $F.
% 0.67/0.89
% 0.67/0.89 Length of proof is 2. Level of proof is 2.
% 0.67/0.89
% 0.67/0.89 ---------------- PROOF ----------------
% 0.67/0.89 % SZS status Unsatisfiable
% 0.67/0.89 % SZS output start Refutation
% 0.67/0.89
% 0.67/0.89 101 [] {+} -member(A,recursion_equation_functions(B))|function(B).
% 0.67/0.89 109 [] {+} -function(z).
% 0.67/0.89 110 [] {+} recursion_equation_functions(z)!=null_class.
% 0.67/0.89 169 [] {-} A=null_class|member(regular(A),A).
% 0.67/0.89 1909 [hyper,169,101] {-} recursion_equation_functions(A)=null_class|function(A).
% 0.67/0.89 2434 [hyper,1909,109] {-} recursion_equation_functions(z)=null_class.
% 0.67/0.89 2436 [binary,2434.1,110.1] {-} $F.
% 0.67/0.89
% 0.67/0.89 % SZS output end Refutation
% 0.67/0.89 ------------ end of proof -------------
% 0.67/0.89
% 0.67/0.89
% 0.67/0.89 Search stopped by max_proofs option.
% 0.67/0.89
% 0.67/0.89
% 0.67/0.89 Search stopped by max_proofs option.
% 0.67/0.89
% 0.67/0.89 ============ end of search ============
% 0.67/0.89
% 0.67/0.89 That finishes the proof of the theorem.
% 0.67/0.89
% 0.67/0.89 Process 27013 finished Thu Jul 7 07:38:29 2022
%------------------------------------------------------------------------------