TSTP Solution File: SEU167+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SEU167+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n003.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 0.75s 0.94s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU167+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 19:54:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox2 on n003.cluster.edu,
% 0.13/0.36  Sat Jun 18 19:54:43 2022
% 0.13/0.36  The command was "./sos".  The process ID is 7562.
% 0.13/0.36  
% 0.13/0.36  set(prolog_style_variables).
% 0.13/0.36  set(auto).
% 0.13/0.36     dependent: set(auto1).
% 0.13/0.36     dependent: set(process_input).
% 0.13/0.36     dependent: clear(print_kept).
% 0.13/0.36     dependent: clear(print_new_demod).
% 0.13/0.36     dependent: clear(print_back_demod).
% 0.13/0.36     dependent: clear(print_back_sub).
% 0.13/0.36     dependent: set(control_memory).
% 0.13/0.36     dependent: assign(max_mem, 12000).
% 0.13/0.36     dependent: assign(pick_given_ratio, 4).
% 0.13/0.36     dependent: assign(stats_level, 1).
% 0.13/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36     dependent: assign(sos_limit, 5000).
% 0.13/0.36     dependent: assign(max_weight, 60).
% 0.13/0.36  clear(print_given).
% 0.13/0.36  
% 0.13/0.36  formula_list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.36  
% 0.13/0.36  This is a Horn set without equality.  The strategy will
% 0.13/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.36  in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: clear(order_hyper).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.19/0.40  
% 0.19/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  -------------- Softie stats --------------
% 0.19/0.40  
% 0.19/0.40  UPDATE_STOP: 300
% 0.19/0.40  SFINDER_TIME_LIMIT: 2
% 0.19/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.40  number of clauses in intial UL: 4
% 0.19/0.40  number of clauses initially in problem: 7
% 0.19/0.40  percentage of clauses intially in UL: 57
% 0.19/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.40  percent of all initial clauses that are short: 100
% 0.19/0.40  absolute distinct symbol count: 6
% 0.19/0.40     distinct predicate count: 1
% 0.19/0.40     distinct function count: 1
% 0.19/0.40     distinct constant count: 4
% 0.19/0.40  
% 0.19/0.40  ---------- no more Softie stats ----------
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  =========== start of search ===========
% 0.75/0.94  
% 0.75/0.94  -------- PROOF -------- 
% 0.75/0.94  % SZS status Theorem
% 0.75/0.94  % SZS output start Refutation
% 0.75/0.94  
% 0.75/0.94  Model 3 (0.00 seconds, 0 Inserts)
% 0.75/0.94  
% 0.75/0.94  Stopped by limit on number of solutions
% 0.75/0.94  
% 0.75/0.94  Stopped by limit on insertions
% 0.75/0.94  
% 0.75/0.94  Model 4 [ 1 1 55 ] (0.00 seconds, 250000 Inserts)
% 0.75/0.94  
% 0.75/0.94  ----> UNIT CONFLICT at   0.56 sec ----> 31 [binary,30.1,3.1] {+} $F.
% 0.75/0.94  
% 0.75/0.94  Length of proof is 3.  Level of proof is 2.
% 0.75/0.94  
% 0.75/0.94  ---------------- PROOF ----------------
% 0.75/0.94  % SZS status Theorem
% 0.75/0.94  % SZS output start Refutation
% 0.75/0.94  
% 0.75/0.94  1 [] {+} -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 0.75/0.94  2 [] {+} -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 0.75/0.94  3 [] {+} -subset(cartesian_product2($c4,$c2),cartesian_product2($c3,$c1)).
% 0.75/0.94  4 [] {+} -subset(A,B)| -subset(B,C)|subset(A,C).
% 0.75/0.94  6 [] {+} subset($c4,$c3).
% 0.75/0.94  7 [] {+} subset($c2,$c1).
% 0.75/0.94  8 [hyper,7,2] {-} subset(cartesian_product2(A,$c2),cartesian_product2(A,$c1)).
% 0.75/0.94  11 [hyper,6,1] {+} subset(cartesian_product2($c4,A),cartesian_product2($c3,A)).
% 0.75/0.94  30 [hyper,11,4,8] {-} subset(cartesian_product2($c4,$c2),cartesian_product2($c3,$c1)).
% 0.75/0.94  31 [binary,30.1,3.1] {+} $F.
% 0.75/0.94  
% 0.75/0.94  % SZS output end Refutation
% 0.75/0.94  ------------ end of proof -------------
% 0.75/0.94  
% 0.75/0.94  
% 0.75/0.94  Search stopped by max_proofs option.
% 0.75/0.94  
% 0.75/0.94  
% 0.75/0.94  Search stopped by max_proofs option.
% 0.75/0.94  
% 0.75/0.94  ============ end of search ============
% 0.75/0.94  
% 0.75/0.94  ----------- soft-scott stats ----------
% 0.75/0.94  
% 0.75/0.94  true clauses given           2      (22.2%)
% 0.75/0.94  false clauses given          7
% 0.75/0.94  
% 0.75/0.94        FALSE     TRUE
% 0.75/0.94     7  0         2
% 0.75/0.94    11  4         3
% 0.75/0.94    15  5         0
% 0.75/0.94  tot:  9         5      (35.7% true)
% 0.75/0.94  
% 0.75/0.94  
% 0.75/0.94  Model 4 [ 1 1 55 ] (0.00 seconds, 250000 Inserts)
% 0.75/0.94  
% 0.75/0.94  That finishes the proof of the theorem.
% 0.75/0.94  
% 0.75/0.94  Process 7562 finished Sat Jun 18 19:54:44 2022
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