TSTP Solution File: SYN037-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n005.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 12:09:18 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n005.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 : Mon Jul 11 19:14:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.34  ----- Otter 3.2, August 2001 -----
% 0.18/0.34  The process was started by sandbox on n005.cluster.edu,
% 0.18/0.34  Mon Jul 11 19:14:21 2022
% 0.18/0.34  The command was "./sos".  The process ID is 18517.
% 0.18/0.34  
% 0.18/0.34  set(prolog_style_variables).
% 0.18/0.34  set(auto).
% 0.18/0.34     dependent: set(auto1).
% 0.18/0.34     dependent: set(process_input).
% 0.18/0.34     dependent: clear(print_kept).
% 0.18/0.34     dependent: clear(print_new_demod).
% 0.18/0.34     dependent: clear(print_back_demod).
% 0.18/0.34     dependent: clear(print_back_sub).
% 0.18/0.34     dependent: set(control_memory).
% 0.18/0.34     dependent: assign(max_mem, 12000).
% 0.18/0.34     dependent: assign(pick_given_ratio, 4).
% 0.18/0.34     dependent: assign(stats_level, 1).
% 0.18/0.34     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.34     dependent: assign(sos_limit, 5000).
% 0.18/0.34     dependent: assign(max_weight, 60).
% 0.18/0.34  clear(print_given).
% 0.18/0.34  
% 0.18/0.34  list(usable).
% 0.18/0.34  
% 0.18/0.34  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 0.18/0.34  
% 0.18/0.34  This is a non-Horn set without equality.  The strategy
% 0.18/0.34  will be ordered hyper_res, ur_res, unit deletion, and
% 0.18/0.34  factoring, with satellites in sos and nuclei in usable.
% 0.18/0.34  
% 0.18/0.34     dependent: set(hyper_res).
% 0.18/0.34     dependent: set(factor).
% 0.18/0.34     dependent: set(unit_deletion).
% 0.18/0.34  
% 0.18/0.34  ------------> process usable:
% 0.18/0.34  
% 0.18/0.34  ------------> process sos:
% 0.18/0.34  
% 0.18/0.34  ======= end of input processing =======
% 0.18/0.37  
% 0.18/0.37  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.37  
% 0.18/0.37  Stopped by limit on number of solutions
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  -------------- Softie stats --------------
% 0.18/0.37  
% 0.18/0.37  UPDATE_STOP: 300
% 0.18/0.37  SFINDER_TIME_LIMIT: 2
% 0.18/0.37  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.37  number of clauses in intial UL: 19
% 0.18/0.37  number of clauses initially in problem: 22
% 0.18/0.37  percentage of clauses intially in UL: 86
% 0.18/0.37  percentage of distinct symbols occuring in initial UL: 86
% 0.18/0.37  percent of all initial clauses that are short: 100
% 0.18/0.37  absolute distinct symbol count: 15
% 0.18/0.37     distinct predicate count: 2
% 0.18/0.37     distinct function count: 4
% 0.18/0.37     distinct constant count: 9
% 0.18/0.37  
% 0.18/0.37  ---------- no more Softie stats ----------
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  =========== start of search ===========
% 0.18/0.49  
% 0.18/0.49  -------- PROOF -------- 
% 0.18/0.49  % SZS status Unsatisfiable
% 0.18/0.49  % SZS output start Refutation
% 0.18/0.49  
% 0.18/0.49  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.49  
% 0.18/0.49  Stopped by limit on number of solutions
% 0.18/0.49  
% 0.18/0.49  Model 3 (0.00 seconds, 0 Inserts)
% 0.18/0.49  
% 0.18/0.49  Stopped by limit on number of solutions
% 0.18/0.49  
% 0.18/0.49  Model 4 [ 1 0 636 ] (0.00 seconds, 1241 Inserts)
% 0.18/0.49  
% 0.18/0.49  Model 5 [ 1 1 603 ] (0.00 seconds, 1278 Inserts)
% 0.18/0.49  
% 0.18/0.49  Model 6 [ 1 0 393 ] (0.00 seconds, 723 Inserts)
% 0.18/0.49  
% 0.18/0.49  Model 7 [ 2 1 1411 ] (0.00 seconds, 1462 Inserts)
% 0.18/0.49  
% 0.18/0.49  Model 8 [ 4 0 337 ] (0.00 seconds, 1622 Inserts)
% 0.18/0.49  
% 0.18/0.49  Model 9 [ 5 0 413 ] (0.00 seconds, 1082 Inserts)
% 0.18/0.49  
% 0.18/0.49  Model 10 [ 5 0 424 ] (0.00 seconds, 703 Inserts)
% 0.18/0.49  
% 0.18/0.49  -----> EMPTY CLAUSE at   0.12 sec ----> 92 [hyper,91,1,71,88,91] {-} $F.
% 0.18/0.49  
% 0.18/0.49  Length of proof is 28.  Level of proof is 22.
% 0.18/0.49  
% 0.18/0.49  ---------------- PROOF ----------------
% 0.18/0.49  % SZS status Unsatisfiable
% 0.18/0.49  % SZS output start Refutation
% 0.18/0.49  
% 0.18/0.49  1 [] {+} -m1| -m3| -p(A)| -p(fy(A)).
% 0.18/0.49  2 [] {+} -m1| -m3|p(A)|p(fy(A)).
% 0.18/0.49  3 [] {+} -m1| -p(cx)|m3|p(A).
% 0.18/0.49  4 [] {+} -m1| -p(A)|m3|p(cx).
% 0.18/0.49  5 [] {+} -m2| -m3| -q(cw)|q(A).
% 0.18/0.49  6 [] {+} -m2| -m3| -q(A)|q(cw).
% 0.18/0.49  7 [] {+} -m2| -q(A)| -q(fz5(A))|m3.
% 0.18/0.49  8 [] {+} -m2|m3|q(A)|q(fz5(A)).
% 0.18/0.49  9 [] {+} -m3| -p(cx)|m1|p(A).
% 0.18/0.49  10 [] {+} -m3| -p(A)|m1|p(cx).
% 0.18/0.49  11 [] {+} -m3| -q(A)| -q(fz2(A))|m2.
% 0.18/0.49  12 [] {+} -m3|m2|q(A)|q(fz2(A)).
% 0.18/0.49  13 [] {+} -p(A)| -p(fy3(A))|m1|m3.
% 0.18/0.49  14 [] {+} -q(cw)|m2|m3|q(A).
% 0.18/0.49  15 [] {+} -q(A)|m2|m3|q(cw).
% 0.18/0.49  16 [] {+} -m1| -q(A)|q(B).
% 0.18/0.49  17 [] {+} -m2| -p(A)|p(B).
% 0.18/0.49  18 [] {+} -p(cvv)|m2.
% 0.18/0.49  19 [] {+} -q(cuu)|m1.
% 0.18/0.49  20 [] {+} m1|m3|p(A)|p(fy3(A)).
% 0.18/0.49  21 [] {+} m2|p(cv).
% 0.18/0.49  22 [] {+} m1|q(cu).
% 0.18/0.49  24 [hyper,20,13,20,factor_simp,factor_simp,factor_simp,factor_simp] {-} m1|m3|p(fy3(fy3(fy3(A))))|p(A).
% 0.18/0.49  25 [hyper,22,15] {+} m1|m2|m3|q(cw).
% 0.18/0.49  27 [hyper,24,13,24,factor_simp,factor_simp,factor_simp,factor_simp] {-} m1|m3|p(A)|p(fy3(fy3(fy3(fy3(fy3(A)))))).
% 0.18/0.49  31 [hyper,25,14,factor_simp,factor_simp] {+} m1|m2|m3|q(A).
% 0.18/0.49  34 [hyper,27,13,24,factor_simp,factor_simp,factor_simp,factor_simp] {-} m1|m3|p(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(A))))))))))|p(A).
% 0.18/0.49  41 [hyper,31,19,factor_simp] {+} m1|m2|m3.
% 0.18/0.49  42 [hyper,34,13,34,factor_simp,factor_simp,factor_simp,factor_simp] {-} m1|m3|p(A)|p(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(A)))))))))))))))))).
% 0.18/0.49  43 [hyper,34,13,34,factor_simp,factor_simp,factor_simp,factor_simp] {-} m1|m3|p(A)|p(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(A)))))))))))))))))))).
% 0.18/0.49  49 [hyper,41,10,21,factor_simp,factor_simp] {+} m1|m2|p(cx).
% 0.18/0.49  55 [hyper,43,13,42,factor_simp,factor_simp,factor_simp,factor_simp] {-} m1|m3|p(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(fy3(A))))))))))))))))))))))))))))))))))))))|p(A).
% 0.18/0.49  56 [hyper,49,9,41,factor_simp,factor_simp,factor_simp] {+} m1|m2|p(A).
% 0.18/0.49  64 [hyper,56,18,factor_simp] {+} m1|m2.
% 0.18/0.49  66 [hyper,64,17,55,factor_simp,factor_simp] {+} m1|p(A)|m3.
% 0.18/0.49  68 [hyper,66,13,66,factor_simp,factor_simp,factor_simp,factor_simp] {+} m1|m3.
% 0.18/0.49  69 [hyper,68,6,64,22,factor_simp,factor_simp] {+} m1|q(cw).
% 0.18/0.49  70 [hyper,69,5,64,68,factor_simp,factor_simp] {+} m1|q(A).
% 0.18/0.49  71 [hyper,70,19,factor_simp] {+} m1.
% 0.18/0.49  72 [hyper,71,4,21] {+} m3|p(cx)|m2.
% 0.18/0.49  73 [hyper,72,3,71,factor_simp] {+} m3|m2|p(A).
% 0.18/0.49  74 [hyper,73,18,factor_simp] {+} m3|m2.
% 0.18/0.49  75 [hyper,74,12,factor_simp] {+} m2|q(A)|q(fz2(A)).
% 0.18/0.49  83 [hyper,75,16,71,factor_simp] {+} m2|q(A).
% 0.18/0.49  84 [hyper,83,11,74,83,factor_simp,factor_simp,factor_simp] {+} m2.
% 0.18/0.49  85 [hyper,84,8] {+} m3|q(A)|q(fz5(A)).
% 0.18/0.49  87 [hyper,85,16,71,factor_simp] {+} m3|q(A).
% 0.18/0.49  88 [hyper,87,7,84,87,factor_simp,factor_simp] {+} m3.
% 0.18/0.49  89 [hyper,88,2,71] {+} p(A)|p(fy(A)).
% 0.18/0.49  91 [hyper,89,17,84,factor_simp] {+} p(A).
% 0.18/0.49  92 [hyper,91,1,71,88,91] {-} $F.
% 0.18/0.49  
% 0.18/0.49  % SZS output end Refutation
% 0.18/0.49  ------------ end of proof -------------
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  Search stopped by max_proofs option.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  Search stopped by max_proofs option.
% 0.18/0.49  
% 0.18/0.49  ============ end of search ============
% 0.18/0.49  
% 0.18/0.49  ----------- soft-scott stats ----------
% 0.18/0.49  
% 0.18/0.49  true clauses given          20      (41.7%)
% 0.18/0.49  false clauses given         28
% 0.18/0.49  
% 0.18/0.49        FALSE     TRUE
% 0.18/0.49  tot:  0         0      (-nan% true)
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  Model 10 [ 5 0 424 ] (0.00 seconds, 703 Inserts)
% 0.18/0.49  
% 0.18/0.49  That finishes the proof of the theorem.
% 0.18/0.49  
% 0.18/0.49  Process 18517 finished Mon Jul 11 19:14:22 2022
%------------------------------------------------------------------------------