TSTP Solution File: SYN084-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n012.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 : Thu Jul 21 12:09:57 EDT 2022

% Result   : Unsatisfiable 0.21s 0.45s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.14  % Command  : sos-script %s
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 01:14:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox on n012.cluster.edu,
% 0.13/0.37  Tue Jul 12 01:14:12 2022
% 0.13/0.37  The command was "./sos".  The process ID is 7062.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 0.13/0.37  
% 0.13/0.37  This is a non-Horn set without equality.  The strategy
% 0.13/0.37  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.37  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: set(factor).
% 0.13/0.37     dependent: set(unit_deletion).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.21/0.41  
% 0.21/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.41  
% 0.21/0.41  Stopped by limit on number of solutions
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  -------------- Softie stats --------------
% 0.21/0.41  
% 0.21/0.41  UPDATE_STOP: 300
% 0.21/0.41  SFINDER_TIME_LIMIT: 2
% 0.21/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.41  number of clauses in intial UL: 6
% 0.21/0.41  number of clauses initially in problem: 7
% 0.21/0.41  percentage of clauses intially in UL: 85
% 0.21/0.41  percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.41  percent of all initial clauses that are short: 100
% 0.21/0.41  absolute distinct symbol count: 5
% 0.21/0.41     distinct predicate count: 1
% 0.21/0.41     distinct function count: 1
% 0.21/0.41     distinct constant count: 3
% 0.21/0.41  
% 0.21/0.41  ---------- no more Softie stats ----------
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  =========== start of search ===========
% 0.21/0.45  
% 0.21/0.45  -------- PROOF -------- 
% 0.21/0.45  % SZS status Unsatisfiable
% 0.21/0.45  % SZS output start Refutation
% 0.21/0.45  
% 0.21/0.45  Model 2 [ 1 0 59 ] (0.00 seconds, 548 Inserts)
% 0.21/0.45  
% 0.21/0.45  Model 3 [ 1 0 189 ] (0.00 seconds, 640 Inserts)
% 0.21/0.45  
% 0.21/0.45  Model 4 [ 1 0 35 ] (0.00 seconds, 553 Inserts)
% 0.21/0.45  
% 0.21/0.45  Model 5 [ 3 1 102 ] (0.00 seconds, 761 Inserts)
% 0.21/0.45  
% 0.21/0.45  -----> EMPTY CLAUSE at   0.06 sec ----> 86 [hyper,85,3,70] {-} $F.
% 0.21/0.45  
% 0.21/0.45  Length of proof is 13.  Level of proof is 10.
% 0.21/0.45  
% 0.21/0.45  ---------------- PROOF ----------------
% 0.21/0.45  % SZS status Unsatisfiable
% 0.21/0.45  % SZS output start Refutation
% 0.21/0.45  
% 0.21/0.45  1 [] {+} big_p(f(f(A)))|big_p(A)| -big_p(a).
% 0.21/0.45  2 [] {+} big_p(f(f(A)))| -big_p(f(A))| -big_p(a).
% 0.21/0.45  3 [] {+} -big_p(f(f(sk1)))| -big_p(f(f(sk2))).
% 0.21/0.45  4 [] {+} big_p(f(sk1))|big_p(f(sk2))| -big_p(sk1)| -big_p(sk2).
% 0.21/0.45  5 [] {+} big_p(f(sk1))| -big_p(sk1)| -big_p(f(f(sk2))).
% 0.21/0.45  6 [] {+} big_p(f(sk2))| -big_p(sk2)| -big_p(f(f(sk1))).
% 0.21/0.45  7 [] {-} big_p(a).
% 0.21/0.45  8 [hyper,7,1] {+} big_p(f(f(A)))|big_p(A).
% 0.21/0.45  12 [hyper,8,3,8] {+} big_p(sk2)|big_p(sk1).
% 0.21/0.45  36 [hyper,12,6,8,factor_simp] {+} big_p(sk1)|big_p(f(sk2)).
% 0.21/0.45  38 [hyper,12,5,8,factor_simp] {+} big_p(sk2)|big_p(f(sk1)).
% 0.21/0.45  43 [hyper,36,2,7] {+} big_p(sk1)|big_p(f(f(sk2))).
% 0.21/0.45  44 [hyper,38,4,36,factor_simp,factor_simp] {+} big_p(f(sk1))|big_p(f(sk2)).
% 0.21/0.45  49 [hyper,43,3,8,factor_simp] {+} big_p(sk1).
% 0.21/0.45  63 [hyper,44,2,7] {-} big_p(f(sk1))|big_p(f(f(sk2))).
% 0.21/0.45  67 [hyper,63,5,49,factor_simp] {+} big_p(f(sk1)).
% 0.21/0.45  70 [hyper,67,2,7] {+} big_p(f(f(sk1))).
% 0.21/0.45  82 [hyper,70,3,8] {+} big_p(sk2).
% 0.21/0.45  83 [hyper,82,6,70] {+} big_p(f(sk2)).
% 0.21/0.45  85 [hyper,83,2,7] {+} big_p(f(f(sk2))).
% 0.21/0.45  86 [hyper,85,3,70] {-} $F.
% 0.21/0.45  
% 0.21/0.45  % SZS output end Refutation
% 0.21/0.45  ------------ end of proof -------------
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  Search stopped by max_proofs option.
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  Search stopped by max_proofs option.
% 0.21/0.45  
% 0.21/0.45  ============ end of search ============
% 0.21/0.45  
% 0.21/0.45  ----------- soft-scott stats ----------
% 0.21/0.45  
% 0.21/0.45  true clauses given          11      (52.4%)
% 0.21/0.45  false clauses given         10
% 0.21/0.45  
% 0.21/0.45        FALSE     TRUE
% 0.21/0.45  tot:  0         0      (-nan% true)
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  Model 5 [ 3 1 102 ] (0.00 seconds, 761 Inserts)
% 0.21/0.45  
% 0.21/0.45  That finishes the proof of the theorem.
% 0.21/0.45  
% 0.21/0.45  Process 7062 finished Tue Jul 12 01:14:13 2022
%------------------------------------------------------------------------------