TSTP Solution File: GRP004-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 : Sat Jul 16 11:40:57 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n028.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 : Mon Jun 13 09:31:07 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 sandbox on n028.cluster.edu,
% 0.13/0.36  Mon Jun 13 09:31:07 2022
% 0.13/0.36  The command was "./sos".  The process ID is 4781.
% 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  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 0.13/0.36  
% 0.13/0.36  This is a Horn set without equality.  The strategy will
% 0.13/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.36  in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: clear(order_hyper).
% 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 =======
% 0.19/0.41  
% 0.19/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.41  
% 0.19/0.41  Stopped by limit on number of solutions
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  -------------- Softie stats --------------
% 0.19/0.41  
% 0.19/0.41  UPDATE_STOP: 300
% 0.19/0.41  SFINDER_TIME_LIMIT: 2
% 0.19/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.41  number of clauses in intial UL: 3
% 0.19/0.41  number of clauses initially in problem: 5
% 0.19/0.41  percentage of clauses intially in UL: 60
% 0.19/0.41  percentage of distinct symbols occuring in initial UL: 75
% 0.19/0.41  percent of all initial clauses that are short: 100
% 0.19/0.41  absolute distinct symbol count: 4
% 0.19/0.41     distinct predicate count: 1
% 0.19/0.41     distinct function count: 1
% 0.19/0.41     distinct constant count: 2
% 0.19/0.41  
% 0.19/0.41  ---------- no more Softie stats ----------
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.41  
% 0.19/0.41  Stopped by limit on number of solutions
% 0.19/0.41  
% 0.19/0.41  =========== start of search ===========
% 0.19/0.48  
% 0.19/0.48  -------- PROOF -------- 
% 0.19/0.48  % SZS status Unsatisfiable
% 0.19/0.48  % SZS output start Refutation
% 0.19/0.48  
% 0.19/0.48  Model 3 [ 1 1 131 ] (0.00 seconds, 4688 Inserts)
% 0.19/0.48  
% 0.19/0.48  Model 4 [ 1 1 763 ] (0.00 seconds, 9383 Inserts)
% 0.19/0.48  
% 0.19/0.48  ----> UNIT CONFLICT at   0.09 sec ----> 11 [binary,10.1,3.1] {-} $F.
% 0.19/0.48  
% 0.19/0.48  Length of proof is 2.  Level of proof is 2.
% 0.19/0.48  
% 0.19/0.48  ---------------- PROOF ----------------
% 0.19/0.48  % SZS status Unsatisfiable
% 0.19/0.48  % SZS output start Refutation
% 0.19/0.48  
% 0.19/0.48  1 [] {+} -product(A,B,C)| -product(B,D,E)| -product(C,D,F)|product(A,E,F).
% 0.19/0.48  2 [] {+} -product(A,B,C)| -product(B,D,E)| -product(A,E,F)|product(C,D,F).
% 0.19/0.48  3 [] {+} -product(a,A,identity).
% 0.19/0.48  4 [] {+} product(inverse(A),A,identity).
% 0.19/0.48  5 [] {+} product(identity,A,A).
% 0.19/0.48  7 [hyper,5,1,4,4] {+} product(inverse(inverse(A)),identity,A).
% 0.19/0.48  10 [hyper,7,2,5,4] {-} product(A,inverse(A),identity).
% 0.19/0.48  11 [binary,10.1,3.1] {-} $F.
% 0.19/0.48  
% 0.19/0.48  % SZS output end Refutation
% 0.19/0.48  ------------ end of proof -------------
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  Search stopped by max_proofs option.
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  Search stopped by max_proofs option.
% 0.19/0.48  
% 0.19/0.48  ============ end of search ============
% 0.19/0.48  
% 0.19/0.48  ----------- soft-scott stats ----------
% 0.19/0.48  
% 0.19/0.48  true clauses given           0      (0.0%)
% 0.19/0.48  false clauses given          3
% 0.19/0.48  
% 0.19/0.48        FALSE     TRUE
% 0.19/0.48     5  0         1
% 0.19/0.48  tot:  0         1      (100.0% true)
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  Model 4 [ 1 1 763 ] (0.00 seconds, 9383 Inserts)
% 0.19/0.48  
% 0.19/0.48  That finishes the proof of the theorem.
% 0.19/0.48  
% 0.19/0.48  Process 4781 finished Mon Jun 13 09:31:07 2022
%------------------------------------------------------------------------------