TSTP Solution File: LCL096-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL096-1 : 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 : Sun Jul 17 14:27:54 EDT 2022

% Result   : Unsatisfiable 5.62s 5.84s
% Output   : Refutation 5.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL096-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % 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 : Sun Jul  3 04:28:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.35  ----- Otter 3.2, August 2001 -----
% 0.19/0.35  The process was started by sandbox on n020.cluster.edu,
% 0.19/0.35  Sun Jul  3 04:28:30 2022
% 0.19/0.35  The command was "./sos".  The process ID is 8588.
% 0.19/0.35  
% 0.19/0.35  set(prolog_style_variables).
% 0.19/0.35  set(auto).
% 0.19/0.35     dependent: set(auto1).
% 0.19/0.35     dependent: set(process_input).
% 0.19/0.35     dependent: clear(print_kept).
% 0.19/0.35     dependent: clear(print_new_demod).
% 0.19/0.35     dependent: clear(print_back_demod).
% 0.19/0.35     dependent: clear(print_back_sub).
% 0.19/0.35     dependent: set(control_memory).
% 0.19/0.35     dependent: assign(max_mem, 12000).
% 0.19/0.35     dependent: assign(pick_given_ratio, 4).
% 0.19/0.35     dependent: assign(stats_level, 1).
% 0.19/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.35     dependent: assign(sos_limit, 5000).
% 0.19/0.35     dependent: assign(max_weight, 60).
% 0.19/0.35  clear(print_given).
% 0.19/0.35  
% 0.19/0.35  list(usable).
% 0.19/0.35  
% 0.19/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.19/0.35  
% 0.19/0.35  This is a Horn set without equality.  The strategy will
% 0.19/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.19/0.35  in usable.
% 0.19/0.35  
% 0.19/0.35     dependent: set(hyper_res).
% 0.19/0.35     dependent: clear(order_hyper).
% 0.19/0.35  
% 0.19/0.35  ------------> process usable:
% 0.19/0.35  
% 0.19/0.35  ------------> process sos:
% 0.19/0.35  
% 0.19/0.35  ======= end of input processing =======
% 0.19/0.38  
% 0.19/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38  
% 0.19/0.38  Stopped by limit on number of solutions
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  -------------- Softie stats --------------
% 0.19/0.38  
% 0.19/0.38  UPDATE_STOP: 300
% 0.19/0.38  SFINDER_TIME_LIMIT: 2
% 0.19/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38  number of clauses in intial UL: 2
% 0.19/0.38  number of clauses initially in problem: 5
% 0.19/0.38  percentage of clauses intially in UL: 40
% 0.19/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.38  percent of all initial clauses that are short: 100
% 0.19/0.38  absolute distinct symbol count: 5
% 0.19/0.38     distinct predicate count: 1
% 0.19/0.38     distinct function count: 1
% 0.19/0.38     distinct constant count: 3
% 0.19/0.38  
% 0.19/0.38  ---------- no more Softie stats ----------
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  =========== start of search ===========
% 4.11/4.36  
% 4.11/4.36  
% 4.11/4.36  Changing weight limit from 60 to 40.
% 4.11/4.36  
% 4.11/4.36  Model 2 (0.00 seconds, 0 Inserts)
% 4.11/4.36  
% 4.11/4.36  Stopped by limit on number of solutions
% 4.11/4.36  
% 4.11/4.36  Model 3 (0.00 seconds, 0 Inserts)
% 4.11/4.36  
% 4.11/4.36  Stopped by limit on number of solutions
% 4.11/4.36  
% 4.11/4.36  Model 4 [ 1 2 2508 ] (0.00 seconds, 193629 Inserts)
% 4.11/4.36  
% 4.11/4.36  Resetting weight limit to 40 after 85 givens.
% 4.11/4.36  
% 4.27/4.48  
% 4.27/4.48  
% 4.27/4.48  Changing weight limit from 40 to 28.
% 4.27/4.48  
% 4.27/4.48  Resetting weight limit to 28 after 90 givens.
% 4.27/4.48  
% 4.39/4.63  
% 4.39/4.63  
% 4.39/4.63  Changing weight limit from 28 to 24.
% 4.39/4.63  
% 4.39/4.63  Resetting weight limit to 24 after 105 givens.
% 4.39/4.63  
% 5.54/5.74  
% 5.54/5.74  
% 5.54/5.74  Changing weight limit from 24 to 20.
% 5.54/5.74  
% 5.54/5.74  Resetting weight limit to 20 after 260 givens.
% 5.54/5.74  
% 5.62/5.84  
% 5.62/5.84  -------- PROOF -------- 
% 5.62/5.84  % SZS status Unsatisfiable
% 5.62/5.84  % SZS output start Refutation
% 5.62/5.84  
% 5.62/5.84  ----> UNIT CONFLICT at   5.43 sec ----> 13977 [binary,13976.1,2.1] {-} $F.
% 5.62/5.84  
% 5.62/5.84  Length of proof is 20.  Level of proof is 9.
% 5.62/5.84  
% 5.62/5.84  ---------------- PROOF ----------------
% 5.62/5.84  % SZS status Unsatisfiable
% 5.62/5.84  % SZS output start Refutation
% 5.62/5.84  
% 5.62/5.84  1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 5.62/5.84  2 [] {+} -is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)).
% 5.62/5.84  3 [] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,C)),D),D)).
% 5.62/5.84  4 [] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),D),equivalent(equivalent(B,C),D)),E),E)).
% 5.62/5.84  5 [] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),D),equivalent(equivalent(equivalent(A,E),C),equivalent(equivalent(B,E),D)))).
% 5.62/5.84  6 [hyper,4,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(D,B),equivalent(equivalent(A,D),C)))).
% 5.62/5.84  7 [hyper,4,1,3] {+} is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))).
% 5.62/5.84  9 [hyper,7,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,C))).
% 5.62/5.84  10 [hyper,9,1,7] {+} is_a_theorem(equivalent(A,A)).
% 5.62/5.84  11 [hyper,5,1,9] {+} is_a_theorem(equivalent(A,equivalent(equivalent(B,B),A))).
% 5.62/5.84  14 [hyper,5,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),D),E),F),equivalent(equivalent(equivalent(equivalent(B,C),D),E),F))).
% 5.62/5.84  15 [hyper,5,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),D),E),equivalent(equivalent(equivalent(B,C),D),E))).
% 5.62/5.84  28 [hyper,6,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(equivalent(B,D),A),equivalent(D,C)))).
% 5.62/5.84  30 [hyper,6,1,10] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(C,B)))).
% 5.62/5.84  146 [hyper,28,1,11] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),C),equivalent(B,C))).
% 5.62/5.84  182 [hyper,14,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,B)),C),C)).
% 5.62/5.84  192 [hyper,146,1,30] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,C)),equivalent(B,A)))).
% 5.62/5.84  214 [hyper,192,1,9] {-} is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(B,equivalent(C,C)),A)))).
% 5.62/5.84  285 [hyper,15,1,182] {+} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),B)).
% 5.62/5.84  302 [hyper,285,1,30] {+} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,B),C)),equivalent(A,C))).
% 5.62/5.84  467 [hyper,214,1,28] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(B,equivalent(equivalent(A,equivalent(D,D)),C)))).
% 5.62/5.84  804 [hyper,302,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,B)),equivalent(A,C)),C)).
% 5.62/5.84  839 [hyper,804,1,15] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,A),C)),C)).
% 5.62/5.84  896 [hyper,839,1,30] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),D))),equivalent(A,D))).
% 5.62/5.84  13976 [hyper,896,1,467] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,B),A)),C),C)).
% 5.62/5.84  13977 [binary,13976.1,2.1] {-} $F.
% 5.62/5.84  
% 5.62/5.84  % SZS output end Refutation
% 5.62/5.84  ------------ end of proof -------------
% 5.62/5.84  
% 5.62/5.84  
% 5.62/5.84  Search stopped by max_proofs option.
% 5.62/5.84  
% 5.62/5.84  
% 5.62/5.84  Search stopped by max_proofs option.
% 5.62/5.84  
% 5.62/5.84  ============ end of search ============
% 5.62/5.84  
% 5.62/5.84  ----------- soft-scott stats ----------
% 5.62/5.84  
% 5.62/5.84  true clauses given           6      (2.0%)
% 5.62/5.84  false clauses given        296
% 5.62/5.84  
% 5.62/5.84        FALSE     TRUE
% 5.62/5.84    16  148       8
% 5.62/5.84    20  2376      10
% 5.62/5.84  tot:  2524      18      (0.7% true)
% 5.62/5.84  
% 5.62/5.84  
% 5.62/5.84  Model 4 [ 1 2 2508 ] (0.00 seconds, 193629 Inserts)
% 5.62/5.84  
% 5.62/5.84  That finishes the proof of the theorem.
% 5.62/5.84  
% 5.62/5.84  Process 8588 finished Sun Jul  3 04:28:35 2022
%------------------------------------------------------------------------------