TSTP Solution File: COL109-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : COL109-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n019.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 : Fri Jul 15 00:42:16 EDT 2022

% Result   : Unsatisfiable 1.06s 1.30s
% Output   : Refutation 1.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : COL109-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : sos-script %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue May 31 05:13:10 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.37  ----- Otter 3.2, August 2001 -----
% 0.14/0.37  The process was started by sandbox on n019.cluster.edu,
% 0.14/0.37  Tue May 31 05:13:10 2022
% 0.14/0.37  The command was "./sos".  The process ID is 13729.
% 0.14/0.37  
% 0.14/0.37  set(prolog_style_variables).
% 0.14/0.37  set(auto).
% 0.14/0.37     dependent: set(auto1).
% 0.14/0.37     dependent: set(process_input).
% 0.14/0.37     dependent: clear(print_kept).
% 0.14/0.37     dependent: clear(print_new_demod).
% 0.14/0.37     dependent: clear(print_back_demod).
% 0.14/0.37     dependent: clear(print_back_sub).
% 0.14/0.37     dependent: set(control_memory).
% 0.14/0.37     dependent: assign(max_mem, 12000).
% 0.14/0.37     dependent: assign(pick_given_ratio, 4).
% 0.14/0.37     dependent: assign(stats_level, 1).
% 0.14/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.37     dependent: assign(sos_limit, 5000).
% 0.14/0.37     dependent: assign(max_weight, 60).
% 0.14/0.37  clear(print_given).
% 0.14/0.37  
% 0.14/0.37  list(usable).
% 0.14/0.37  
% 0.14/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.14/0.37  
% 0.14/0.37  This is a Horn set without equality.  The strategy will
% 0.14/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.14/0.37  in usable.
% 0.14/0.37  
% 0.14/0.37     dependent: set(hyper_res).
% 0.14/0.37     dependent: clear(order_hyper).
% 0.14/0.37  
% 0.14/0.37  ------------> process usable:
% 0.14/0.37  
% 0.14/0.37  ------------> process sos:
% 0.14/0.37  
% 0.14/0.37  ======= end of input processing =======
% 0.14/0.39  
% 0.14/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.39  
% 0.14/0.39  Stopped by limit on number of solutions
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  -------------- Softie stats --------------
% 0.14/0.39  
% 0.14/0.39  UPDATE_STOP: 300
% 0.14/0.39  SFINDER_TIME_LIMIT: 2
% 0.14/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.39  number of clauses in intial UL: 2
% 0.14/0.39  number of clauses initially in problem: 6
% 0.14/0.39  percentage of clauses intially in UL: 33
% 0.14/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.14/0.39  percent of all initial clauses that are short: 100
% 0.14/0.39  absolute distinct symbol count: 13
% 0.14/0.39     distinct predicate count: 1
% 0.14/0.39     distinct function count: 3
% 0.14/0.39     distinct constant count: 9
% 0.14/0.39  
% 0.14/0.39  ---------- no more Softie stats ----------
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  =========== start of search ===========
% 0.55/0.77  
% 0.55/0.77  
% 0.55/0.77  Changing weight limit from 60 to 38.
% 0.55/0.77  
% 0.55/0.77  Resetting weight limit to 38 after 55 givens.
% 0.55/0.77  
% 0.76/1.00  
% 0.76/1.00  
% 0.76/1.00  Changing weight limit from 38 to 34.
% 0.76/1.00  
% 0.76/1.00  Resetting weight limit to 34 after 60 givens.
% 0.76/1.00  
% 0.85/1.06  
% 0.85/1.06  
% 0.85/1.06  Changing weight limit from 34 to 30.
% 0.85/1.06  
% 0.85/1.06  Resetting weight limit to 30 after 65 givens.
% 0.85/1.06  
% 1.06/1.30  
% 1.06/1.30  -------- PROOF -------- 
% 1.06/1.30  % SZS status Unsatisfiable
% 1.06/1.30  % SZS output start Refutation
% 1.06/1.30  
% 1.06/1.30  -----> EMPTY CLAUSE at   0.90 sec ----> 6509 [hyper,121,1,6] {-} $F.
% 1.06/1.30  
% 1.06/1.30  Length of proof is 3.  Level of proof is 2.
% 1.06/1.30  
% 1.06/1.30  ---------------- PROOF ----------------
% 1.06/1.30  % SZS status Unsatisfiable
% 1.06/1.30  % SZS output start Refutation
% 1.06/1.30  
% 1.06/1.30  1 [] {+} -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.06/1.30  2 [] {+} -c_in(c_Pair(A,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| -c_in(c_Pair(C,D,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(C,A),c_Comb_Ocomb_Oop_A_D_D(D,B),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.06/1.30  3 [] {-} c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.06/1.30  4 [] {-} c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.06/1.30  5 [] {-} c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.06/1.30  6 [] {-} c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,A),B),C),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(A,C),c_Comb_Ocomb_Oop_A_D_D(B,C)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.06/1.30  9 [hyper,4,2,3] {-} c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.06/1.30  13 [hyper,5,2,3] {-} c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.06/1.30  121 [hyper,13,2,9] {-} c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)).
% 1.06/1.30  6509 [hyper,121,1,6] {-} $F.
% 1.06/1.30  
% 1.06/1.30  % SZS output end Refutation
% 1.06/1.30  ------------ end of proof -------------
% 1.06/1.30  
% 1.06/1.30  
% 1.06/1.30  Search stopped by max_proofs option.
% 1.06/1.30  
% 1.06/1.30  
% 1.06/1.30  Search stopped by max_proofs option.
% 1.06/1.30  
% 1.06/1.30  ============ end of search ============
% 1.06/1.30  
% 1.06/1.30  ----------- soft-scott stats ----------
% 1.06/1.30  
% 1.06/1.30  true clauses given           0      (0.0%)
% 1.06/1.30  false clauses given        134
% 1.06/1.30  
% 1.06/1.30        FALSE     TRUE
% 1.06/1.30    22  358       0
% 1.06/1.30    26  1248      0
% 1.06/1.30    30  962       0
% 1.06/1.30  tot:  2568      0      (0.0% true)
% 1.06/1.30  
% 1.06/1.30  
% 1.06/1.30  Model 1 (0.00 seconds, 0 Inserts)
% 1.06/1.30  
% 1.06/1.30  That finishes the proof of the theorem.
% 1.06/1.30  
% 1.06/1.30  Process 13729 finished Tue May 31 05:13:11 2022
%------------------------------------------------------------------------------