TSTP Solution File: SEU167+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n018.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 14:27:22 EDT 2022

% Result   : Theorem 5.24s 5.43s
% Output   : Refutation 5.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 07:13:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n018.cluster.edu,
% 0.12/0.35  Sun Jun 19 07:13:49 2022
% 0.12/0.35  The command was "./sos".  The process ID is 17892.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  formula_list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.35  
% 0.12/0.35  This is a Horn set without equality.  The strategy will
% 0.12/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.35  in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: clear(order_hyper).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.12/0.38  
% 0.12/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  -------------- Softie stats --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 5
% 0.12/0.38  number of clauses initially in problem: 9
% 0.12/0.38  percentage of clauses intially in UL: 55
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 88
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 9
% 0.12/0.38     distinct predicate count: 2
% 0.12/0.38     distinct function count: 1
% 0.12/0.38     distinct constant count: 6
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 5.24/5.43  
% 5.24/5.43  -------- PROOF -------- 
% 5.24/5.43  % SZS status Theorem
% 5.24/5.43  % SZS output start Refutation
% 5.24/5.43  
% 5.24/5.43  Model 3 (0.00 seconds, 0 Inserts)
% 5.24/5.43  
% 5.24/5.43  Stopped by limit on number of solutions
% 5.24/5.43  
% 5.24/5.43  Model 4 (0.00 seconds, 0 Inserts)
% 5.24/5.43  
% 5.24/5.43  Stopped by limit on number of solutions
% 5.24/5.43  
% 5.24/5.43  Stopped by limit on insertions
% 5.24/5.43  
% 5.24/5.43  Model 5 [ 1 0 387 ] (0.00 seconds, 250000 Inserts)
% 5.24/5.43  
% 5.24/5.43  ----> UNIT CONFLICT at   5.05 sec ----> 25 [binary,24.1,4.1] {-} $F.
% 5.24/5.43  
% 5.24/5.43  Length of proof is 3.  Level of proof is 2.
% 5.24/5.43  
% 5.24/5.43  ---------------- PROOF ----------------
% 5.24/5.43  % SZS status Theorem
% 5.24/5.43  % SZS output start Refutation
% 5.24/5.43  
% 5.24/5.43  2 [] {+} -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 5.24/5.43  3 [] {+} -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 5.24/5.43  4 [] {+} -subset(cartesian_product2($c6,$c4),cartesian_product2($c5,$c3)).
% 5.24/5.43  5 [] {+} -subset(A,B)| -subset(B,C)|subset(A,C).
% 5.24/5.43  8 [] {+} subset($c6,$c5).
% 5.24/5.43  9 [] {+} subset($c4,$c3).
% 5.24/5.43  11 [hyper,8,2] {-} subset(cartesian_product2($c6,A),cartesian_product2($c5,A)).
% 5.24/5.43  12 [hyper,9,3] {+} subset(cartesian_product2(A,$c4),cartesian_product2(A,$c3)).
% 5.24/5.43  24 [hyper,12,5,11] {-} subset(cartesian_product2($c6,$c4),cartesian_product2($c5,$c3)).
% 5.24/5.43  25 [binary,24.1,4.1] {-} $F.
% 5.24/5.43  
% 5.24/5.43  % SZS output end Refutation
% 5.24/5.43  ------------ end of proof -------------
% 5.24/5.43  
% 5.24/5.43  
% 5.24/5.43  Search stopped by max_proofs option.
% 5.24/5.43  
% 5.24/5.43  
% 5.24/5.43  Search stopped by max_proofs option.
% 5.24/5.43  
% 5.24/5.43  ============ end of search ============
% 5.24/5.43  
% 5.24/5.43  ----------- soft-scott stats ----------
% 5.24/5.43  
% 5.24/5.43  true clauses given           1      (11.1%)
% 5.24/5.43  false clauses given          8
% 5.24/5.43  
% 5.24/5.43        FALSE     TRUE
% 5.24/5.43     7  0         1
% 5.24/5.43    11  6         0
% 5.24/5.43    15  2         0
% 5.24/5.43  tot:  8         1      (11.1% true)
% 5.24/5.43  
% 5.24/5.43  
% 5.24/5.43  Model 5 [ 1 0 387 ] (0.00 seconds, 250000 Inserts)
% 5.24/5.43  
% 5.24/5.43  That finishes the proof of the theorem.
% 5.24/5.43  
% 5.24/5.43  Process 17892 finished Sun Jun 19 07:13:54 2022
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