TSTP Solution File: ANA039-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : ANA039-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n010.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 14 19:28:00 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ANA039-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n010.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 : Fri Jul  8 05:57:16 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 n010.cluster.edu,
% 0.13/0.36  Fri Jul  8 05:57:16 2022
% 0.13/0.36  The command was "./sos".  The process ID is 19057.
% 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 =======
% 0.13/0.38  
% 0.13/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  -------------- Softie stats --------------
% 0.13/0.38  
% 0.13/0.38  UPDATE_STOP: 300
% 0.13/0.38  SFINDER_TIME_LIMIT: 2
% 0.13/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38  number of clauses in intial UL: 8
% 0.13/0.38  number of clauses initially in problem: 10
% 0.13/0.38  percentage of clauses intially in UL: 80
% 0.13/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.38  percent of all initial clauses that are short: 90
% 0.13/0.38  absolute distinct symbol count: 13
% 0.13/0.38     distinct predicate count: 5
% 0.13/0.38     distinct function count: 4
% 0.13/0.38     distinct constant count: 4
% 0.13/0.38  
% 0.13/0.38  ---------- no more Softie stats ----------
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  =========== start of search ===========
% 0.19/0.41  
% 0.19/0.41  -------- PROOF -------- 
% 0.19/0.41  % SZS status Unsatisfiable
% 0.19/0.41  % SZS output start Refutation
% 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  ----> UNIT CONFLICT at   0.02 sec ----> 154 [binary,153.1,1.1] {-} $F.
% 0.19/0.41  
% 0.19/0.41  Length of proof is 7.  Level of proof is 4.
% 0.19/0.41  
% 0.19/0.41  ---------------- PROOF ----------------
% 0.19/0.41  % SZS status Unsatisfiable
% 0.19/0.41  % SZS output start Refutation
% 0.19/0.41  
% 0.19/0.41  1 [] {+} -c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a).
% 0.19/0.41  2 [] {+} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_lessequals(B,c_HOL_Oabs(B,A),A).
% 0.19/0.41  3 [] {+} -class_OrderedGroup_Olordered__ab__group__abs(A)|c_lessequals(c_0,c_HOL_Oabs(B,A),A).
% 0.19/0.41  4 [] {+} -class_Orderings_Oorder(A)| -c_lessequals(B,C,A)| -c_lessequals(D,B,A)|c_lessequals(D,C,A).
% 0.19/0.41  5 [] {+} -class_Ring__and__Field_Opordered__semiring(A)| -c_lessequals(B,C,A)| -c_lessequals(c_0,D,A)|c_lessequals(c_times(B,D,A),c_times(C,D,A),A).
% 0.19/0.41  6 [] {+} -class_Ring__and__Field_Oordered__idom(A)|class_Ring__and__Field_Opordered__semiring(A).
% 0.19/0.41  7 [] {+} -class_Ring__and__Field_Oordered__idom(A)|class_Orderings_Oorder(A).
% 0.19/0.41  8 [] {+} -class_Ring__and__Field_Oordered__idom(A)|class_OrderedGroup_Olordered__ab__group__abs(A).
% 0.19/0.41  9 [] {-} c_lessequals(c_HOL_Oabs(v_h(A),t_a),c_times(v_c,c_HOL_Oabs(v_f(A),t_a),t_a),t_a).
% 0.19/0.41  10 [] {+} class_Ring__and__Field_Oordered__idom(t_a).
% 0.19/0.41  11 [hyper,10,8] {+} class_OrderedGroup_Olordered__ab__group__abs(t_a).
% 0.19/0.41  12 [hyper,10,7] {+} class_Orderings_Oorder(t_a).
% 0.19/0.41  13 [hyper,10,6] {+} class_Ring__and__Field_Opordered__semiring(t_a).
% 0.19/0.41  14 [hyper,11,3] {+} c_lessequals(c_0,c_HOL_Oabs(A,t_a),t_a).
% 0.19/0.41  15 [hyper,11,2] {+} c_lessequals(A,c_HOL_Oabs(A,t_a),t_a).
% 0.19/0.41  22 [hyper,15,5,13,14] {+} c_lessequals(c_times(A,c_HOL_Oabs(B,t_a),t_a),c_times(c_HOL_Oabs(A,t_a),c_HOL_Oabs(B,t_a),t_a),t_a).
% 0.19/0.41  153 [hyper,22,4,12,9] {-} c_lessequals(c_HOL_Oabs(v_h(A),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(A),t_a),t_a),t_a).
% 0.19/0.41  154 [binary,153.1,1.1] {-} $F.
% 0.19/0.41  
% 0.19/0.41  % SZS output end Refutation
% 0.19/0.41  ------------ end of proof -------------
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Search stopped by max_proofs option.
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Search stopped by max_proofs option.
% 0.19/0.41  
% 0.19/0.41  ============ end of search ============
% 0.19/0.41  
% 0.19/0.41  ----------- soft-scott stats ----------
% 0.19/0.41  
% 0.19/0.41  true clauses given          11      (42.3%)
% 0.19/0.41  false clauses given         15
% 0.19/0.41  
% 0.19/0.41        FALSE     TRUE
% 0.19/0.41    14  0         1
% 0.19/0.41    16  0         1
% 0.19/0.41    18  0         3
% 0.19/0.41    20  0         4
% 0.19/0.41    21  1         0
% 0.19/0.41    22  0         2
% 0.19/0.41    23  3         1
% 0.19/0.41    24  0         3
% 0.19/0.41    25  4         2
% 0.19/0.41    26  0         2
% 0.19/0.41    27  4         2
% 0.19/0.41    28  0         2
% 0.19/0.41    29  4         2
% 0.19/0.41    30  0         1
% 0.19/0.41    31  4         1
% 0.19/0.41    33  2         0
% 0.19/0.41    34  0         1
% 0.19/0.41    35  2         1
% 0.19/0.41    37  2         1
% 0.19/0.41    39  1         2
% 0.19/0.41    41  0         2
% 0.19/0.41    45  0         1
% 0.19/0.41    47  0         1
% 0.19/0.41    49  0         1
% 0.19/0.41    51  0         2
% 0.19/0.41    53  1         0
% 0.19/0.41  tot:  28        39      (58.2% true)
% 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  That finishes the proof of the theorem.
% 0.19/0.41  
% 0.19/0.41  Process 19057 finished Fri Jul  8 05:57:16 2022
%------------------------------------------------------------------------------