TSTP Solution File: SET924+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET924+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n011.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 05:21:51 EDT 2022

% Result   : Theorem 0.43s 0.61s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET924+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n011.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 15:31:26 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox2 on n011.cluster.edu,
% 0.13/0.35  Sun Jul 10 15:31:26 2022
% 0.13/0.35  The command was "./sos".  The process ID is 22445.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  formula_list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=2.
% 0.13/0.35  
% 0.13/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35  clauses in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(knuth_bendix).
% 0.13/0.35     dependent: set(para_from).
% 0.13/0.35     dependent: set(para_into).
% 0.13/0.35     dependent: clear(para_from_right).
% 0.13/0.35     dependent: clear(para_into_right).
% 0.13/0.35     dependent: set(para_from_vars).
% 0.13/0.35     dependent: set(eq_units_both_ways).
% 0.13/0.35     dependent: set(dynamic_demod_all).
% 0.13/0.35     dependent: set(dynamic_demod).
% 0.13/0.35     dependent: set(order_eq).
% 0.13/0.35     dependent: set(back_demod).
% 0.13/0.35     dependent: set(lrpo).
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: set(unit_deletion).
% 0.13/0.35     dependent: set(factor).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35    Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] {-} A=A.
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.13/0.38  
% 0.13/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  -------------- Softie stats --------------
% 0.13/0.38  
% 0.13/0.38  UPDATE_STOP: 300
% 0.13/0.38  SFINDER_TIME_LIMIT: 2
% 0.13/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38  number of clauses in intial UL: 6
% 0.13/0.38  number of clauses initially in problem: 9
% 0.13/0.38  percentage of clauses intially in UL: 66
% 0.13/0.38  percentage of distinct symbols occuring in initial UL: 88
% 0.13/0.38  percent of all initial clauses that are short: 100
% 0.13/0.38  absolute distinct symbol count: 9
% 0.13/0.38     distinct predicate count: 3
% 0.13/0.38     distinct function count: 2
% 0.13/0.38     distinct constant count: 4
% 0.13/0.38  
% 0.13/0.38  ---------- no more Softie stats ----------
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  =========== start of search ===========
% 0.43/0.61  
% 0.43/0.61  -------- PROOF -------- 
% 0.43/0.61  % SZS status Theorem
% 0.43/0.61  % SZS output start Refutation
% 0.43/0.61  
% 0.43/0.61  Stopped by limit on insertions
% 0.43/0.61  
% 0.43/0.61  Model 3 [ 2 1 34329 ] (0.00 seconds, 250000 Inserts)
% 0.43/0.61  
% 0.43/0.61  -----> EMPTY CLAUSE at   0.24 sec ----> 18 [hyper,12,5,15] {-} $F.
% 0.43/0.61  
% 0.43/0.61  Length of proof is 2.  Level of proof is 2.
% 0.43/0.61  
% 0.43/0.61  ---------------- PROOF ----------------
% 0.43/0.61  % SZS status Theorem
% 0.43/0.61  % SZS output start Refutation
% 0.43/0.61  
% 0.43/0.61  3 [] {+} set_difference(singleton($c4),$c3)=singleton($c4)| -in($c4,$c3).
% 0.43/0.61  4 [] {+} set_difference(singleton($c4),$c3)!=singleton($c4)|in($c4,$c3).
% 0.43/0.61  5 [] {+} set_difference(singleton(A),B)!=singleton(A)| -in(A,B).
% 0.43/0.61  8 [] {-} set_difference(singleton(A),B)=singleton(A)|in(A,B).
% 0.43/0.61  9 [] {+} A=A.
% 0.43/0.61  13,12 [hyper,8,3,factor_simp] {-} set_difference(singleton($c4),$c3)=singleton($c4).
% 0.43/0.61  15 [back_demod,4,demod,13,unit_del,9] {-} in($c4,$c3).
% 0.43/0.61  18 [hyper,12,5,15] {-} $F.
% 0.43/0.61  
% 0.43/0.61  % SZS output end Refutation
% 0.43/0.61  ------------ end of proof -------------
% 0.43/0.61  
% 0.43/0.61  
% 0.43/0.61  Search stopped by max_proofs option.
% 0.43/0.61  
% 0.43/0.61  
% 0.43/0.61  Search stopped by max_proofs option.
% 0.43/0.61  
% 0.43/0.61  ============ end of search ============
% 0.43/0.61  
% 0.43/0.61  ----------- soft-scott stats ----------
% 0.43/0.61  
% 0.43/0.61  true clauses given           1      (16.7%)
% 0.43/0.61  false clauses given          5
% 0.43/0.61  
% 0.43/0.61        FALSE     TRUE
% 0.43/0.61     7  0         1
% 0.43/0.61    14  0         1
% 0.43/0.61  tot:  0         2      (100.0% true)
% 0.43/0.61  
% 0.43/0.61  
% 0.43/0.61  Model 3 [ 2 1 34329 ] (0.00 seconds, 250000 Inserts)
% 0.43/0.61  
% 0.43/0.61  That finishes the proof of the theorem.
% 0.43/0.61  
% 0.43/0.61  Process 22445 finished Sun Jul 10 15:31:27 2022
%------------------------------------------------------------------------------