TSTP Solution File: SET925+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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 0.19s 0.37s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n004.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 : Mon Jul 11 04:15:37 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 sandbox on n004.cluster.edu,
% 0.13/0.35  Mon Jul 11 04:15:37 2022
% 0.13/0.35  The command was "./sos".  The process ID is 11640.
% 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 10 during input processing: 0 [copy,10,flip.1] {-} A=A.
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.19/0.37  
% 0.19/0.37  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.37  
% 0.19/0.37  Stopped by limit on number of solutions
% 0.19/0.37  
% 0.19/0.37  
% 0.19/0.37  -------------- Softie stats --------------
% 0.19/0.37  
% 0.19/0.37  UPDATE_STOP: 300
% 0.19/0.37  SFINDER_TIME_LIMIT: 2
% 0.19/0.37  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.37  number of clauses in intial UL: 6
% 0.19/0.37  number of clauses initially in problem: 10
% 0.19/0.37  percentage of clauses intially in UL: 60
% 0.19/0.37  percentage of distinct symbols occuring in initial UL: 90
% 0.19/0.37  percent of all initial clauses that are short: 100
% 0.19/0.37  absolute distinct symbol count: 10
% 0.19/0.37     distinct predicate count: 3
% 0.19/0.37     distinct function count: 2
% 0.19/0.37     distinct constant count: 5
% 0.19/0.37  
% 0.19/0.37  ---------- no more Softie stats ----------
% 0.19/0.37  
% 0.19/0.37  
% 0.19/0.37  
% 0.19/0.37  =========== start of search ===========
% 0.19/0.37  
% 0.19/0.37  -------- PROOF -------- 
% 0.19/0.37  % SZS status Theorem
% 0.19/0.37  % SZS output start Refutation
% 0.19/0.37  
% 0.19/0.37  -----> EMPTY CLAUSE at   0.01 sec ----> 14 [para_from,9.1.1,4.1.1,unit_del,10,13,13] {-} $F.
% 0.19/0.37  
% 0.19/0.37  Length of proof is 2.  Level of proof is 2.
% 0.19/0.37  
% 0.19/0.37  ---------------- PROOF ----------------
% 0.19/0.37  % SZS status Theorem
% 0.19/0.37  % SZS output start Refutation
% 0.19/0.37  
% 0.19/0.37  3 [] {+} set_difference(singleton($c4),$c3)!=empty_set| -in($c4,$c3).
% 0.19/0.37  4 [] {+} set_difference(singleton(A),B)!=empty_set|in(A,B).
% 0.19/0.37  5 [] {+} set_difference(singleton(A),B)=empty_set| -in(A,B).
% 0.19/0.37  9 [] {-} set_difference(singleton($c4),$c3)=empty_set|in($c4,$c3).
% 0.19/0.37  10 [] {+} A=A.
% 0.19/0.38  12,11 [hyper,9,5,factor_simp] {-} set_difference(singleton($c4),$c3)=empty_set.
% 0.19/0.38  13 [back_demod,3,demod,12,unit_del,10] {-} -in($c4,$c3).
% 0.19/0.38  14 [para_from,9.1.1,4.1.1,unit_del,10,13,13] {-} $F.
% 0.19/0.38  
% 0.19/0.38  % SZS output end Refutation
% 0.19/0.38  ------------ end of proof -------------
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  Search stopped by max_proofs option.
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  Search stopped by max_proofs option.
% 0.19/0.38  
% 0.19/0.38  ============ end of search ============
% 0.19/0.38  
% 0.19/0.38  ----------- soft-scott stats ----------
% 0.19/0.38  
% 0.19/0.38  true clauses given           1      (50.0%)
% 0.19/0.38  false clauses given          1
% 0.19/0.38  
% 0.19/0.38        FALSE     TRUE
% 0.19/0.38     2  0         1
% 0.19/0.38     3  0         1
% 0.19/0.38  tot:  0         2      (100.0% true)
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38  
% 0.19/0.38  That finishes the proof of the theorem.
% 0.19/0.38  
% 0.19/0.38  Process 11640 finished Mon Jul 11 04:15:37 2022
%------------------------------------------------------------------------------