TSTP Solution File: PHI009+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n024.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 : Mon Jul 18 16:48:48 EDT 2022

% Result   : Theorem 0.49s 0.73s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% 0.04/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  2 01:26:06 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox2 on n024.cluster.edu,
% 0.12/0.36  Thu Jun  2 01:26:06 2022
% 0.12/0.36  The command was "./sos".  The process ID is 2968.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  formula_list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.12/0.36  
% 0.12/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36  clauses in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(knuth_bendix).
% 0.12/0.36     dependent: set(para_from).
% 0.12/0.36     dependent: set(para_into).
% 0.12/0.36     dependent: clear(para_from_right).
% 0.12/0.36     dependent: clear(para_into_right).
% 0.12/0.36     dependent: set(para_from_vars).
% 0.12/0.36     dependent: set(eq_units_both_ways).
% 0.12/0.36     dependent: set(dynamic_demod_all).
% 0.12/0.36     dependent: set(dynamic_demod).
% 0.12/0.36     dependent: set(order_eq).
% 0.12/0.36     dependent: set(back_demod).
% 0.12/0.36     dependent: set(lrpo).
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: set(unit_deletion).
% 0.12/0.36     dependent: set(factor).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36    Following clause subsumed by 33 during input processing: 0 [copy,33,flip.1] {-} A=A.
% 0.12/0.36  
% 0.12/0.36  ======= end of input processing =======
% 0.20/0.41  
% 0.20/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.41  
% 0.20/0.41  Stopped by limit on number of solutions
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  -------------- Softie stats --------------
% 0.20/0.41  
% 0.20/0.41  UPDATE_STOP: 300
% 0.20/0.41  SFINDER_TIME_LIMIT: 2
% 0.20/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.41  number of clauses in intial UL: 29
% 0.20/0.41  number of clauses initially in problem: 33
% 0.20/0.41  percentage of clauses intially in UL: 87
% 0.20/0.41  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.41  percent of all initial clauses that are short: 96
% 0.20/0.41  absolute distinct symbol count: 9
% 0.20/0.41     distinct predicate count: 5
% 0.20/0.41     distinct function count: 2
% 0.20/0.41     distinct constant count: 2
% 0.20/0.41  
% 0.20/0.41  ---------- no more Softie stats ----------
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.41  
% 0.20/0.41  Stopped by limit on number of solutions
% 0.20/0.41  
% 0.20/0.41  =========== start of search ===========
% 0.49/0.73  
% 0.49/0.73  -------- PROOF -------- 
% 0.49/0.73  % SZS status Theorem
% 0.49/0.73  % SZS output start Refutation
% 0.49/0.73  
% 0.49/0.73  Model 3 (0.00 seconds, 0 Inserts)
% 0.49/0.73  
% 0.49/0.73  Stopped by limit on number of solutions
% 0.49/0.73  
% 0.49/0.73  Stopped by limit on insertions
% 0.49/0.73  
% 0.49/0.73  Model 4 [ 1 1 372 ] (0.00 seconds, 250000 Inserts)
% 0.49/0.73  
% 0.49/0.73  Stopped by limit on insertions
% 0.49/0.73  
% 0.49/0.73  Model 5 [ 1 1 1603 ] (0.00 seconds, 250000 Inserts)
% 0.49/0.73  
% 0.49/0.73  Stopped by limit on insertions
% 0.49/0.73  
% 0.49/0.73  Model 6 [ 1 0 526 ] (0.00 seconds, 250000 Inserts)
% 0.49/0.73  
% 0.49/0.73  -----> EMPTY CLAUSE at   0.33 sec ----> 197 [hyper,160,12,31] {-} $F.
% 0.49/0.73  
% 0.49/0.73  Length of proof is 11.  Level of proof is 6.
% 0.49/0.73  
% 0.49/0.73  ---------------- PROOF ----------------
% 0.49/0.73  % SZS status Theorem
% 0.49/0.73  % SZS output start Refutation
% 0.49/0.73  
% 0.49/0.73  5 [] {+} -property(A)| -property(B)| -object(C)|is_the(C,A)| -object(D)| -exemplifies_property(A,D)|object($f2(A,B,C,D))| -exemplifies_property(B,D).
% 0.49/0.73  6 [] {+} -property(A)| -property(B)| -object(C)|is_the(C,A)| -object(D)| -exemplifies_property(A,D)|exemplifies_property(A,$f2(A,B,C,D))| -exemplifies_property(B,D).
% 0.49/0.73  7 [] {+} -property(A)| -property(B)| -object(C)|is_the(C,A)| -object(D)| -exemplifies_property(A,D)|$f2(A,B,C,D)!=D| -exemplifies_property(B,D).
% 0.49/0.73  11 [] {+} -object(A)| -exemplifies_property($c2,A)|A=$c1.
% 0.49/0.73  12 [] {+} -object(A)| -is_the(A,$c2).
% 0.49/0.73  18 [factor,5.1.2,factor_simp] {+} -property(A)| -object(B)|is_the(B,A)| -object(C)| -exemplifies_property(A,C)|object($f2(A,A,B,C)).
% 0.49/0.73  20 [factor,6.1.2,factor_simp] {+} -property(A)| -object(B)|is_the(B,A)| -object(C)| -exemplifies_property(A,C)|exemplifies_property(A,$f2(A,A,B,C)).
% 0.49/0.73  22 [factor,7.1.2,factor_simp] {+} -property(A)| -object(B)|is_the(B,A)| -object(C)| -exemplifies_property(A,C)|$f2(A,A,B,C)!=C.
% 0.49/0.73  27 [factor,18.2.4] {+} -property(A)| -object(B)|is_the(B,A)| -exemplifies_property(A,B)|object($f2(A,A,B,B)).
% 0.49/0.73  28 [factor,20.2.4] {+} -property(A)| -object(B)|is_the(B,A)| -exemplifies_property(A,B)|exemplifies_property(A,$f2(A,A,B,B)).
% 0.49/0.73  29 [factor,22.2.4] {+} -property(A)| -object(B)|is_the(B,A)| -exemplifies_property(A,B)|$f2(A,A,B,B)!=B.
% 0.49/0.73  30 [] {+} property($c2).
% 0.49/0.73  31 [] {+} object($c1).
% 0.49/0.73  32 [] {+} exemplifies_property($c2,$c1).
% 0.49/0.73  33 [] {+} A=A.
% 0.49/0.73  47 [hyper,31,28,30,32] {-} is_the($c1,$c2)|exemplifies_property($c2,$f2($c2,$c2,$c1,$c1)).
% 0.49/0.73  48 [hyper,31,27,30,32] {-} is_the($c1,$c2)|object($f2($c2,$c2,$c1,$c1)).
% 0.49/0.73  52 [hyper,47,12,31] {+} exemplifies_property($c2,$f2($c2,$c2,$c1,$c1)).
% 0.49/0.73  118 [hyper,48,11,52] {+} is_the($c1,$c2)|$f2($c2,$c2,$c1,$c1)=$c1.
% 0.49/0.73  160 [para_from,118.2.1,29.5.1,unit_del,30,31,32,33,factor_simp] {-} is_the($c1,$c2).
% 0.49/0.73  197 [hyper,160,12,31] {-} $F.
% 0.49/0.73  
% 0.49/0.73  % SZS output end Refutation
% 0.49/0.73  ------------ end of proof -------------
% 0.49/0.73  
% 0.49/0.73  
% 0.49/0.73  Search stopped by max_proofs option.
% 0.49/0.73  
% 0.49/0.73  
% 0.49/0.73  Search stopped by max_proofs option.
% 0.49/0.73  
% 0.49/0.73  ============ end of search ============
% 0.49/0.73  
% 0.49/0.73  ----------- soft-scott stats ----------
% 0.49/0.73  
% 0.49/0.73  true clauses given           4      (33.3%)
% 0.49/0.73  false clauses given          8
% 0.49/0.73  
% 0.49/0.73        FALSE     TRUE
% 0.49/0.73     7  1         0
% 0.49/0.73     8  0         1
% 0.49/0.73    10  0         1
% 0.49/0.73    12  0         4
% 0.49/0.73    13  1         2
% 0.49/0.73    14  0         3
% 0.49/0.73    15  0         1
% 0.49/0.73    16  0         1
% 0.49/0.73    17  0         1
% 0.49/0.73    18  0         6
% 0.49/0.73    19  0         2
% 0.49/0.73    20  0         6
% 0.49/0.73    21  0         4
% 0.49/0.73    22  0         2
% 0.49/0.73    23  0         9
% 0.49/0.73    24  0         1
% 0.49/0.73    25  0         13
% 0.49/0.73    26  0         1
% 0.49/0.73    27  0         6
% 0.49/0.73    29  0         2
% 0.49/0.73    31  0         10
% 0.49/0.73    32  0         1
% 0.49/0.73    33  0         3
% 0.49/0.73    34  0         2
% 0.49/0.73    36  0         15
% 0.49/0.73    37  0         1
% 0.49/0.73    38  0         8
% 0.49/0.73    40  0         1
% 0.49/0.73    41  0         1
% 0.49/0.73    42  0         3
% 0.49/0.73    44  0         1
% 0.49/0.73  tot:  2         112      (98.2% true)
% 0.49/0.73  
% 0.49/0.73  
% 0.49/0.73  Model 6 [ 1 0 526 ] (0.00 seconds, 250000 Inserts)
% 0.49/0.73  
% 0.49/0.73  That finishes the proof of the theorem.
% 0.49/0.73  
% 0.49/0.73  Process 2968 finished Thu Jun  2 01:26:06 2022
%------------------------------------------------------------------------------