TSTP Solution File: PUZ007-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.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 18:26:57 EDT 2022

% Result   : Unsatisfiable 17.03s 17.23s
% Output   : Refutation 17.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n020.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 : Sat May 28 20:39:39 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 n020.cluster.edu,
% 0.12/0.36  Sat May 28 20:39:39 2022
% 0.12/0.36  The command was "./sos".  The process ID is 3732.
% 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  list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 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 31 during input processing: 0 [copy,31,flip.1] {-} A=A.
% 0.12/0.36  
% 0.12/0.36  ======= end of input processing =======
% 0.12/0.38  
% 0.12/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  -------------- Softie stats --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 15
% 0.12/0.38  number of clauses initially in problem: 30
% 0.12/0.38  percentage of clauses intially in UL: 50
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 92
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 14
% 0.12/0.38     distinct predicate count: 9
% 0.12/0.38     distinct function count: 1
% 0.12/0.38     distinct constant count: 4
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 17.03/17.23  
% 17.03/17.23  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 17.03/17.23  
% 17.03/17.23  Model 2 (0.00 seconds, 0 Inserts)
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on number of solutions
% 17.03/17.23  
% 17.03/17.23  Model 3 (0.00 seconds, 0 Inserts)
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on number of solutions
% 17.03/17.23  
% 17.03/17.23  Model 4 (0.00 seconds, 0 Inserts)
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on number of solutions
% 17.03/17.23  
% 17.03/17.23  Model 5 (0.00 seconds, 0 Inserts)
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on number of solutions
% 17.03/17.23  
% 17.03/17.23  Model 6 (0.00 seconds, 0 Inserts)
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on number of solutions
% 17.03/17.23  
% 17.03/17.23  Model 7 (0.00 seconds, 0 Inserts)
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on number of solutions
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on insertions
% 17.03/17.23  
% 17.03/17.23  Model 8 [ 1 0 56 ] (0.00 seconds, 250000 Inserts)
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on insertions
% 17.03/17.23  
% 17.03/17.23  Model 9 [ 1 6 157676 ] (0.00 seconds, 250000 Inserts)
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on insertions
% 17.03/17.23  
% 17.03/17.23  Model 10 [ 1 2 44222 ] (0.00 seconds, 250000 Inserts)
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on insertions
% 17.03/17.23  
% 17.03/17.23  Model 11 [ 1 2 52169 ] (0.00 seconds, 250000 Inserts)
% 17.03/17.23  
% 17.03/17.23  Stopped by limit on insertions
% 17.03/17.23  
% 17.03/17.23  Model 12 [ 2 1 983 ] (0.00 seconds, 250000 Inserts)
% 17.03/17.23  
% 17.03/17.23  -----> EMPTY CLAUSE at  16.84 sec ----> 1777 [hyper,1769,11,22,1016] {-} $F.
% 17.03/17.23  
% 17.03/17.23  Length of proof is 32.  Level of proof is 21.
% 17.03/17.23  
% 17.03/17.23  ---------------- PROOF ----------------
% 17.03/17.23  % SZS status Unsatisfiable
% 17.03/17.23  % SZS output start Refutation
% 17.03/17.23  
% 17.03/17.23  1 [] {+} -from_mars(A)| -from_venus(A).
% 17.03/17.23  4 [] {+} -says(A,B)|B=statement_by(A).
% 17.03/17.23  6 [] {+} -from_venus(A)| -female(A)|truthteller(A).
% 17.03/17.23  9 [] {+} -from_mars(A)| -female(A)|liar(A).
% 17.03/17.23  10 [] {+} -truthteller(A)| -says(A,B)|a_truth(B).
% 17.03/17.23  11 [] {+} -liar(A)| -says(A,B)| -a_truth(B).
% 17.03/17.23  12 [] {+} -from_mars(a)|a_truth(a_from_mars).
% 17.03/17.23  13 [] {+} from_mars(a)| -a_truth(a_from_mars).
% 17.03/17.23  14 [] {-} -a_truth(a_from_mars)| -a_truth(statement_by(b)).
% 17.03/17.23  16 [] {+} -male(a)|female(b).
% 17.03/17.23  18 [] {+} male(A)|female(A).
% 17.03/17.23  21 [] {+} says(a,a_from_mars).
% 17.03/17.23  22 [] {+} says(b,a_has_lied).
% 17.03/17.23  24,23 [] {+} statement_by(a)=a_from_mars.
% 17.03/17.23  26,25 [] {+} statement_by(b)=a_has_lied.
% 17.03/17.23  27 [] {-} a_truth(a_from_mars)|a_truth(statement_by(b)).
% 17.03/17.23  28 [copy,27,demod,26] {+} a_truth(a_from_mars)|a_truth(a_has_lied).
% 17.03/17.23  29 [] {+} from_mars(b)|from_mars(a).
% 17.03/17.23  30 [] {+} from_venus(a)|from_venus(b).
% 17.03/17.23  32 [back_demod,14,demod,26] {+} -a_truth(a_from_mars)| -a_truth(a_has_lied).
% 17.03/17.23  35 [hyper,18,16] {+} female(a)|female(b).
% 17.03/17.23  41 [para_into,32.1.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(a_has_lied)| -says(A,a_from_mars).
% 17.03/17.23  47 [hyper,28,13] {+} a_truth(a_has_lied)|from_mars(a).
% 17.03/17.23  51 [hyper,29,12] {+} from_mars(b)|a_truth(a_from_mars).
% 17.03/17.23  56 [para_into,41.1.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(a_has_lied)| -says(B,a_from_mars)| -says(A,statement_by(B)).
% 17.03/17.23  64 [para_into,56.1.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(a_has_lied)| -says(B,a_from_mars)| -says(C,statement_by(B))| -says(A,statement_by(C)).
% 17.03/17.23  86 [para_into,64.1.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(a_has_lied)| -says(B,a_from_mars)| -says(C,statement_by(B))| -says(D,statement_by(C))| -says(A,statement_by(D)).
% 17.03/17.23  107 [para_into,86.1.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(a_has_lied)| -says(B,a_from_mars)| -says(C,statement_by(B))| -says(D,statement_by(C))| -says(E,statement_by(D))| -says(A,statement_by(E)).
% 17.03/17.23  122 [hyper,47,9,35] {+} a_truth(a_has_lied)|liar(a)|female(b).
% 17.03/17.23  124 [hyper,47,1,30] {+} a_truth(a_has_lied)|from_venus(b).
% 17.03/17.23  130 [para_into,107.1.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(a_has_lied)| -says(B,a_from_mars)| -says(C,statement_by(B))| -says(D,statement_by(C))| -says(E,statement_by(D))| -says(F,statement_by(E))| -says(A,statement_by(F)).
% 17.03/17.23  139 [hyper,51,1,30] {+} a_truth(a_from_mars)|from_venus(a).
% 17.03/17.23  164 [para_into,130.2.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(statement_by(B))| -says(C,a_from_mars)| -says(D,statement_by(C))| -says(E,statement_by(D))| -says(F,statement_by(E))| -says(G,statement_by(F))| -says(A,statement_by(G))| -says(B,a_has_lied).
% 17.03/17.23  208 [hyper,139,6,35] {-} a_truth(a_from_mars)|truthteller(a)|female(b).
% 17.03/17.23  215 [para_into,164.2.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(statement_by(B))| -says(C,a_from_mars)| -says(D,statement_by(C))| -says(E,statement_by(D))| -says(F,statement_by(E))| -says(G,statement_by(F))| -says(A,statement_by(G))| -says(H,a_has_lied)| -says(B,statement_by(H)).
% 17.03/17.23  266 [para_into,215.2.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(statement_by(B))| -says(C,a_from_mars)| -says(D,statement_by(C))| -says(E,statement_by(D))| -says(F,statement_by(E))| -says(G,statement_by(F))| -says(A,statement_by(G))| -says(H,a_has_lied)| -says(I,statement_by(H))| -says(B,statement_by(I)).
% 17.03/17.23  327 [para_into,266.2.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(statement_by(B))| -says(C,a_from_mars)| -says(D,statement_by(C))| -says(E,statement_by(D))| -says(F,statement_by(E))| -says(G,statement_by(F))| -says(A,statement_by(G))| -says(H,a_has_lied)| -says(I,statement_by(H))| -says(J,statement_by(I))| -says(B,statement_by(J)).
% 17.03/17.23  473 [para_into,327.2.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(statement_by(B))| -says(C,a_from_mars)| -says(D,statement_by(C))| -says(E,statement_by(D))| -says(F,statement_by(E))| -says(G,statement_by(F))| -says(A,statement_by(G))| -says(H,a_has_lied)| -says(I,statement_by(H))| -says(J,statement_by(I))| -says(K,statement_by(J))| -says(B,statement_by(K)).
% 17.03/17.23  895 [para_into,473.2.1,4.2.1] {-} -a_truth(statement_by(A))| -a_truth(statement_by(B))| -says(C,a_from_mars)| -says(D,statement_by(C))| -says(E,statement_by(D))| -says(F,statement_by(E))| -says(G,statement_by(F))| -says(A,statement_by(G))| -says(H,a_has_lied)| -says(I,statement_by(H))| -says(J,statement_by(I))| -says(K,statement_by(J))| -says(L,statement_by(K))| -says(B,statement_by(L)).
% 17.03/17.23  950 [hyper,122,11,21,28,factor_simp] {+} a_truth(a_has_lied)|female(b).
% 17.03/17.23  994 [hyper,950,6,124,factor_simp] {+} a_truth(a_has_lied)|truthteller(b).
% 17.03/17.23  1016 [hyper,994,10,22,factor_simp] {+} a_truth(a_has_lied).
% 17.03/17.23  1022 [para_into,895.2.1,25.1.1,unit_del,1016] {-} -a_truth(statement_by(A))| -says(B,a_from_mars)| -says(C,statement_by(B))| -says(D,statement_by(C))| -says(E,statement_by(D))| -says(F,statement_by(E))| -says(A,statement_by(F))| -says(G,a_has_lied)| -says(H,statement_by(G))| -says(I,statement_by(H))| -says(J,statement_by(I))| -says(K,statement_by(J))| -says(b,statement_by(K)).
% 17.03/17.23  1146 [factor,1022.3.4] {-} -a_truth(statement_by(A))| -says(B,a_from_mars)| -says(B,statement_by(B))| -says(C,statement_by(B))| -says(D,statement_by(C))| -says(A,statement_by(D))| -says(E,a_has_lied)| -says(F,statement_by(E))| -says(G,statement_by(F))| -says(H,statement_by(G))| -says(I,statement_by(H))| -says(b,statement_by(I)).
% 17.03/17.23  1520 [factor,1146.3.6,factor_simp,factor_simp] {-} -a_truth(statement_by(A))| -says(A,a_from_mars)| -says(A,statement_by(A))| -says(B,a_has_lied)| -says(C,statement_by(B))| -says(D,statement_by(C))| -says(E,statement_by(D))| -says(F,statement_by(E))| -says(b,statement_by(F)).
% 17.03/17.23  1710 [factor,1520.6.9,demod,26,factor_simp,factor_simp] {-} -a_truth(statement_by(A))| -says(A,a_from_mars)| -says(A,statement_by(A))| -says(B,a_has_lied)| -says(C,statement_by(B))| -says(b,statement_by(C)).
% 17.03/17.23  1752 [factor,1710.5.6,demod,26,unit_del,22,22] {-} -a_truth(statement_by(A))| -says(A,a_from_mars)| -says(A,statement_by(A)).
% 17.03/17.23  1766 [para_into,1752.1.1,23.1.1,demod,24,unit_del,21,21] {+} -a_truth(a_from_mars).
% 17.03/17.23  1768 [hyper,208,10,21,unit_del,1766,1766] {+} female(b).
% 17.03/17.23  1769 [hyper,1768,9,51,unit_del,1766] {+} liar(b).
% 17.03/17.23  1777 [hyper,1769,11,22,1016] {-} $F.
% 17.03/17.23  
% 17.03/17.23  % SZS output end Refutation
% 17.03/17.23  ------------ end of proof -------------
% 17.03/17.23  
% 17.03/17.23  
% 17.03/17.23  Search stopped by max_proofs option.
% 17.03/17.23  
% 17.03/17.23  
% 17.03/17.23  Search stopped by max_proofs option.
% 17.03/17.23  
% 17.03/17.23  ============ end of search ============
% 17.03/17.23  
% 17.03/17.23  ----------- soft-scott stats ----------
% 17.03/17.23  
% 17.03/17.23  true clauses given          62      (39.0%)
% 17.03/17.23  false clauses given         97
% 17.03/17.23  
% 17.03/17.23        FALSE     TRUE
% 17.03/17.23     3  1         0
% 17.03/17.23     6  2         6
% 17.03/17.23     7  1         16
% 17.03/17.23     8  1         8
% 17.03/17.23     9  3         11
% 17.03/17.23    10  1         38
% 17.03/17.23    11  1         24
% 17.03/17.23    12  1         15
% 17.03/17.23    13  0         6
% 17.03/17.23    14  1         3
% 17.03/17.23    15  1         0
% 17.03/17.23    16  0         3
% 17.03/17.23    17  0         10
% 17.03/17.23    18  0         6
% 17.03/17.23    19  1         0
% 17.03/17.23    20  0         5
% 17.03/17.23    21  0         17
% 17.03/17.23    22  0         10
% 17.03/17.23    24  0         7
% 17.03/17.23    25  0         26
% 17.03/17.23    26  3         1
% 17.03/17.23    28  0         9
% 17.03/17.23    29  0         29
% 17.03/17.23    30  6         0
% 17.03/17.23    32  0         8
% 17.03/17.23    33  0         33
% 17.03/17.23    34  6         0
% 17.03/17.23    36  0         7
% 17.03/17.23    37  0         35
% 17.03/17.23    38  4         0
% 17.03/17.23    40  0         6
% 17.03/17.23    41  0         32
% 17.03/17.23    42  1         1
% 17.03/17.23    43  0         1
% 17.03/17.23    44  0         5
% 17.03/17.23    45  0         45
% 17.03/17.23    46  0         3
% 17.03/17.23    47  0         2
% 17.03/17.23    48  0         20
% 17.03/17.23    49  0         34
% 17.03/17.23    50  0         6
% 17.03/17.23    51  0         1
% 17.03/17.23    52  0         6
% 17.03/17.23    53  0         8
% 17.03/17.23    56  0         7
% 17.03/17.23  tot:  34        510      (93.8% true)
% 17.03/17.23  
% 17.03/17.23  
% 17.03/17.23  Model 12 [ 2 1 983 ] (0.00 seconds, 250000 Inserts)
% 17.03/17.23  
% 17.03/17.23  That finishes the proof of the theorem.
% 17.03/17.23  
% 17.03/17.23  Process 3732 finished Sat May 28 20:39:56 2022
%------------------------------------------------------------------------------