TSTP Solution File: SYN328+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n008.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 12:11:48 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n008.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 : Tue Jul 12 06:28:53 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 n008.cluster.edu,
% 0.13/0.36  Tue Jul 12 06:28:53 2022
% 0.13/0.36  The command was "./sos".  The process ID is 8722.
% 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=0, equality=0, symmetry=0, max_lits=3.
% 0.13/0.36  
% 0.13/0.36  This is a non-Horn set without equality.  The strategy
% 0.13/0.36  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.36  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: set(factor).
% 0.13/0.36     dependent: set(unit_deletion).
% 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 =======
% 0.13/0.40  
% 0.13/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  -------------- Softie stats --------------
% 0.13/0.40  
% 0.13/0.40  UPDATE_STOP: 300
% 0.13/0.40  SFINDER_TIME_LIMIT: 2
% 0.13/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.40  number of clauses in intial UL: 9
% 0.13/0.40  number of clauses initially in problem: 11
% 0.13/0.40  percentage of clauses intially in UL: 81
% 0.13/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.40  percent of all initial clauses that are short: 100
% 0.13/0.40  absolute distinct symbol count: 5
% 0.13/0.40     distinct predicate count: 3
% 0.13/0.40     distinct function count: 2
% 0.13/0.40     distinct constant count: 0
% 0.13/0.40  
% 0.13/0.40  ---------- no more Softie stats ----------
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  =========== start of search ===========
% 0.20/0.52  
% 0.20/0.52  -------- PROOF -------- 
% 0.20/0.52  % SZS status Theorem
% 0.20/0.52  % SZS output start Refutation
% 0.20/0.52  
% 0.20/0.52  Model 2 [ 5 1 229 ] (0.00 seconds, 413 Inserts)
% 0.20/0.52  
% 0.20/0.52  Model 3 [ 31 1 49 ] (0.00 seconds, 325 Inserts)
% 0.20/0.52  
% 0.20/0.52  Model 4 [ 30 0 159 ] (0.00 seconds, 667 Inserts)
% 0.20/0.52  
% 0.20/0.52  Model 5 [ 34 0 177 ] (0.00 seconds, 748 Inserts)
% 0.20/0.52  
% 0.20/0.52  -----> EMPTY CLAUSE at   0.14 sec ----> 72 [hyper,71,9,69,68] {-} $F.
% 0.20/0.52  
% 0.20/0.52  Length of proof is 22.  Level of proof is 12.
% 0.20/0.52  
% 0.20/0.52  ---------------- PROOF ----------------
% 0.20/0.52  % SZS status Theorem
% 0.20/0.52  % SZS output start Refutation
% 0.20/0.52  
% 0.20/0.52  1 [] {+} -big_g($f2(A))|big_f(A).
% 0.20/0.52  2 [] {+} -big_f($f2(A))|big_g($f2(A))| -big_f(A).
% 0.20/0.52  3 [] {+} -big_h($f2(A))|big_g(A).
% 0.20/0.52  4 [] {+} -big_f($f2(A))|big_h($f2(A))| -big_g(A).
% 0.20/0.52  5 [] {+} -big_f($f2(A))|big_g($f2(A))|big_h(A).
% 0.20/0.52  6 [] {+} -big_h($f2(A))|big_h(A).
% 0.20/0.52  9 [] {+} -big_f($f1(A))| -big_g($f1(A))| -big_h($f1(A)).
% 0.20/0.52  10 [] {-} big_f($f2(A))|big_f(A).
% 0.20/0.52  11 [] {-} big_f($f2(A))|big_g(A).
% 0.20/0.52  12 [hyper,10,5] {-} big_f(A)|big_g($f2(A))|big_h(A).
% 0.20/0.52  13 [hyper,11,1] {-} big_f($f2($f2(A)))|big_f(A).
% 0.20/0.52  20 [hyper,12,6] {-} big_f($f2(A))|big_g($f2($f2(A)))|big_h(A).
% 0.20/0.52  22 [hyper,20,9,10,11,factor_simp,factor_simp] {-} big_f($f2($f1(A)))|big_g($f2($f2($f1(A)))).
% 0.20/0.52  24 [hyper,20,3] {-} big_f($f2($f2(A)))|big_g($f2($f2($f2(A))))|big_g(A).
% 0.20/0.52  27 [hyper,22,1,factor_simp] {+} big_f($f2($f1(A))).
% 0.20/0.52  37 [hyper,24,1,factor_simp] {-} big_f($f2($f2(A)))|big_g(A).
% 0.20/0.52  42 [hyper,37,4,10,factor_simp] {-} big_f($f2($f2(A)))|big_h($f2(A)).
% 0.20/0.52  43 [hyper,37,1] {-} big_f($f2($f2($f2(A))))|big_f(A).
% 0.20/0.52  47 [hyper,42,6] {-} big_f($f2($f2(A)))|big_h(A).
% 0.20/0.52  48 [hyper,47,9,13,37,factor_simp,factor_simp] {-} big_f($f2($f2($f1(A)))).
% 0.20/0.52  49 [hyper,47,6] {-} big_f($f2($f2($f2(A))))|big_h(A).
% 0.20/0.52  50 [hyper,47,3] {-} big_f($f2($f2($f2(A))))|big_g(A).
% 0.20/0.52  52 [hyper,48,2,27] {-} big_g($f2($f2($f1(A)))).
% 0.20/0.52  60 [hyper,50,9,43,49,factor_simp,factor_simp] {-} big_f($f2($f2($f2($f1(A))))).
% 0.20/0.52  63 [hyper,60,4,52] {-} big_h($f2($f2($f2($f1(A))))).
% 0.20/0.52  65 [hyper,63,6] {-} big_h($f2($f2($f1(A)))).
% 0.20/0.52  66 [hyper,65,6] {-} big_h($f2($f1(A))).
% 0.20/0.52  67 [hyper,65,3] {+} big_g($f2($f1(A))).
% 0.20/0.52  68 [hyper,66,6] {+} big_h($f1(A)).
% 0.20/0.52  69 [hyper,66,3] {+} big_g($f1(A)).
% 0.20/0.52  71 [hyper,67,1] {+} big_f($f1(A)).
% 0.20/0.52  72 [hyper,71,9,69,68] {-} $F.
% 0.20/0.52  
% 0.20/0.52  % SZS output end Refutation
% 0.20/0.52  ------------ end of proof -------------
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  Search stopped by max_proofs option.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  Search stopped by max_proofs option.
% 0.20/0.52  
% 0.20/0.52  ============ end of search ============
% 0.20/0.52  
% 0.20/0.52  ----------- soft-scott stats ----------
% 0.20/0.52  
% 0.20/0.52  true clauses given           2      (6.1%)
% 0.20/0.52  false clauses given         31
% 0.20/0.52  
% 0.20/0.52        FALSE     TRUE
% 0.20/0.52     6  2         0
% 0.20/0.52     7  1         0
% 0.20/0.52     8  3         0
% 0.20/0.52  tot:  6         0      (0.0% true)
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  Model 5 [ 34 0 177 ] (0.00 seconds, 748 Inserts)
% 0.20/0.52  
% 0.20/0.52  That finishes the proof of the theorem.
% 0.20/0.52  
% 0.20/0.52  Process 8722 finished Tue Jul 12 06:28:53 2022
%------------------------------------------------------------------------------