TSTP Solution File: SET909+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET909+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n029.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 : Tue Jul 19 05:21:44 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET909+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 16:47:01 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.35  ----- Otter 3.2, August 2001 -----
% 0.18/0.35  The process was started by sandbox2 on n029.cluster.edu,
% 0.18/0.35  Sun Jul 10 16:47:01 2022
% 0.18/0.35  The command was "./sos".  The process ID is 24166.
% 0.18/0.35  
% 0.18/0.35  set(prolog_style_variables).
% 0.18/0.35  set(auto).
% 0.18/0.35     dependent: set(auto1).
% 0.18/0.35     dependent: set(process_input).
% 0.18/0.35     dependent: clear(print_kept).
% 0.18/0.35     dependent: clear(print_new_demod).
% 0.18/0.35     dependent: clear(print_back_demod).
% 0.18/0.35     dependent: clear(print_back_sub).
% 0.18/0.35     dependent: set(control_memory).
% 0.18/0.35     dependent: assign(max_mem, 12000).
% 0.18/0.35     dependent: assign(pick_given_ratio, 4).
% 0.18/0.35     dependent: assign(stats_level, 1).
% 0.18/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.35     dependent: assign(sos_limit, 5000).
% 0.18/0.35     dependent: assign(max_weight, 60).
% 0.18/0.35  clear(print_given).
% 0.18/0.35  
% 0.18/0.35  formula_list(usable).
% 0.18/0.35  
% 0.18/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.18/0.35  
% 0.18/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.18/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.35  clauses in usable.
% 0.18/0.35  
% 0.18/0.35     dependent: set(knuth_bendix).
% 0.18/0.35     dependent: set(para_from).
% 0.18/0.35     dependent: set(para_into).
% 0.18/0.35     dependent: clear(para_from_right).
% 0.18/0.35     dependent: clear(para_into_right).
% 0.18/0.35     dependent: set(para_from_vars).
% 0.18/0.35     dependent: set(eq_units_both_ways).
% 0.18/0.35     dependent: set(dynamic_demod_all).
% 0.18/0.35     dependent: set(dynamic_demod).
% 0.18/0.35     dependent: set(order_eq).
% 0.18/0.35     dependent: set(back_demod).
% 0.18/0.35     dependent: set(lrpo).
% 0.18/0.35     dependent: set(hyper_res).
% 0.18/0.35     dependent: set(unit_deletion).
% 0.18/0.35     dependent: set(factor).
% 0.18/0.35  
% 0.18/0.35  ------------> process usable:
% 0.18/0.35  
% 0.18/0.35  ------------> process sos:
% 0.18/0.35    Following clause subsumed by 21 during input processing: 0 [copy,21,flip.1] {-} unordered_pair(A,B)=unordered_pair(B,A).
% 0.18/0.35    Following clause subsumed by 22 during input processing: 0 [copy,22,flip.1] {-} set_union2(A,B)=set_union2(B,A).
% 0.18/0.35    Following clause subsumed by 32 during input processing: 0 [copy,32,flip.1] {-} A=A.
% 0.18/0.35  
% 0.18/0.35  ======= end of input processing =======
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  Failed to model usable list: disabling FINDER
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  -------------- Softie stats --------------
% 0.18/0.41  
% 0.18/0.41  UPDATE_STOP: 300
% 0.18/0.41  SFINDER_TIME_LIMIT: 2
% 0.18/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.41  number of clauses in intial UL: 19
% 0.18/0.41  number of clauses initially in problem: 36
% 0.18/0.41  percentage of clauses intially in UL: 52
% 0.18/0.41  percentage of distinct symbols occuring in initial UL: 64
% 0.18/0.41  percent of all initial clauses that are short: 100
% 0.18/0.41  absolute distinct symbol count: 14
% 0.18/0.41     distinct predicate count: 3
% 0.18/0.41     distinct function count: 5
% 0.18/0.41     distinct constant count: 6
% 0.18/0.41  
% 0.18/0.41  ---------- no more Softie stats ----------
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  =========== start of search ===========
% 0.18/0.49  
% 0.18/0.49  -------- PROOF -------- 
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  % SZS output start Refutation
% 0.18/0.49  
% 0.18/0.49  -----> EMPTY CLAUSE at   0.12 sec ----> 914 [hyper,90,2,30] {-} $F.
% 0.18/0.49  
% 0.18/0.49  Length of proof is 2.  Level of proof is 2.
% 0.18/0.49  
% 0.18/0.49  ---------------- PROOF ----------------
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  % SZS output start Refutation
% 0.18/0.49  
% 0.18/0.49  2 [] {+} A!=empty_set| -in(B,A).
% 0.18/0.49  5 [] {+} A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 0.18/0.49  10 [] {+} A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 0.18/0.49  22 [] {-} set_union2(A,B)=set_union2(B,A).
% 0.18/0.49  30 [] {-} set_union2(unordered_pair($c5,$c4),$c3)=empty_set.
% 0.18/0.49  32 [] {-} A=A.
% 0.18/0.49  67 [hyper,32,5,32] {-} in(A,unordered_pair(B,A)).
% 0.18/0.49  90 [hyper,67,10,22] {-} in(A,set_union2(unordered_pair(B,A),C)).
% 0.18/0.49  914 [hyper,90,2,30] {-} $F.
% 0.18/0.49  
% 0.18/0.49  % SZS output end Refutation
% 0.18/0.49  ------------ end of proof -------------
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  Search stopped by max_proofs option.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  Search stopped by max_proofs option.
% 0.18/0.49  
% 0.18/0.49  ============ end of search ============
% 0.18/0.49  
% 0.18/0.49  That finishes the proof of the theorem.
% 0.18/0.49  
% 0.18/0.49  Process 24166 finished Sun Jul 10 16:47:01 2022
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