TSTP Solution File: ALG204+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : ALG204+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.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 18:01:15 EDT 2022

% Result   : Theorem 18.90s 19.08s
% Output   : Refutation 18.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG204+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun  9 06:22:57 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.38  ----- Otter 3.2, August 2001 -----
% 0.19/0.38  The process was started by sandbox2 on n027.cluster.edu,
% 0.19/0.38  Thu Jun  9 06:22:57 2022
% 0.19/0.38  The command was "./sos".  The process ID is 24391.
% 0.19/0.38  
% 0.19/0.38  set(prolog_style_variables).
% 0.19/0.38  set(auto).
% 0.19/0.38     dependent: set(auto1).
% 0.19/0.38     dependent: set(process_input).
% 0.19/0.38     dependent: clear(print_kept).
% 0.19/0.38     dependent: clear(print_new_demod).
% 0.19/0.38     dependent: clear(print_back_demod).
% 0.19/0.38     dependent: clear(print_back_sub).
% 0.19/0.38     dependent: set(control_memory).
% 0.19/0.38     dependent: assign(max_mem, 12000).
% 0.19/0.38     dependent: assign(pick_given_ratio, 4).
% 0.19/0.38     dependent: assign(stats_level, 1).
% 0.19/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.38     dependent: assign(sos_limit, 5000).
% 0.19/0.38     dependent: assign(max_weight, 60).
% 0.19/0.38  clear(print_given).
% 0.19/0.38  
% 0.19/0.38  formula_list(usable).
% 0.19/0.38  
% 0.19/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.38  
% 0.19/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.38  clauses in usable.
% 0.19/0.38  
% 0.19/0.38     dependent: set(knuth_bendix).
% 0.19/0.38     dependent: set(para_from).
% 0.19/0.38     dependent: set(para_into).
% 0.19/0.38     dependent: clear(para_from_right).
% 0.19/0.38     dependent: clear(para_into_right).
% 0.19/0.38     dependent: set(para_from_vars).
% 0.19/0.38     dependent: set(eq_units_both_ways).
% 0.19/0.38     dependent: set(dynamic_demod_all).
% 0.19/0.38     dependent: set(dynamic_demod).
% 0.19/0.38     dependent: set(order_eq).
% 0.19/0.38     dependent: set(back_demod).
% 0.19/0.38     dependent: set(lrpo).
% 0.19/0.38     dependent: set(hyper_res).
% 0.19/0.38     dependent: set(unit_deletion).
% 0.19/0.38     dependent: set(factor).
% 0.19/0.38  
% 0.19/0.38  ------------> process usable:
% 0.19/0.38  
% 0.19/0.38  ------------> process sos:
% 0.19/0.38    Following clause subsumed by 726 during input processing: 0 [copy,726,flip.1] {-} A=A.
% 0.19/0.38  
% 0.19/0.38  ======= end of input processing =======
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Failed to model usable list: disabling FINDER
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  -------------- Softie stats --------------
% 0.19/0.44  
% 0.19/0.44  UPDATE_STOP: 300
% 0.19/0.44  SFINDER_TIME_LIMIT: 2
% 0.19/0.45  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.45  number of clauses in intial UL: 91
% 0.19/0.45  number of clauses initially in problem: 495
% 0.19/0.45  percentage of clauses intially in UL: 18
% 0.19/0.45  percentage of distinct symbols occuring in initial UL: 78
% 0.19/0.45  percent of all initial clauses that are short: 100
% 0.19/0.45  absolute distinct symbol count: 19
% 0.19/0.45     distinct predicate count: 1
% 0.19/0.45     distinct function count: 4
% 0.19/0.45     distinct constant count: 14
% 0.19/0.45  
% 0.19/0.45  ---------- no more Softie stats ----------
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  =========== start of search ===========
% 3.77/4.00  
% 3.77/4.00  
% 3.77/4.00  Changing weight limit from 60 to 55.
% 3.77/4.00  
% 3.77/4.00  Resetting weight limit to 55 after 180 givens.
% 3.77/4.00  
% 4.70/4.92  
% 4.70/4.92  
% 4.70/4.92  Changing weight limit from 55 to 52.
% 4.70/4.92  
% 4.70/4.92  Resetting weight limit to 52 after 185 givens.
% 4.70/4.92  
% 14.70/14.92  
% 14.70/14.92  
% 14.70/14.92  Changing weight limit from 52 to 49.
% 14.70/14.92  
% 14.70/14.92  Resetting weight limit to 49 after 195 givens.
% 14.70/14.92  
% 18.90/19.08  
% 18.90/19.08  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 18.90/19.08  
% 18.90/19.08  -----> EMPTY CLAUSE at  18.70 sec ----> 12520 [back_demod,12366,demod,12515,280,12515,12515,unit_del,12,22] {-} $F.
% 18.90/19.08  
% 18.90/19.08  Length of proof is 16.  Level of proof is 13.
% 18.90/19.08  
% 18.90/19.08  ---------------- PROOF ----------------
% 18.90/19.08  % SZS status Theorem
% 18.90/19.08  % SZS output start Refutation
% 18.90/19.08  
% 18.90/19.08  11 [] {-} e10!=e16.
% 18.90/19.08  12 [copy,11,flip.1] {+} e16!=e10.
% 18.90/19.08  21 [] {-} e11!=e16.
% 18.90/19.08  22 [copy,21,flip.1] {+} e16!=e11.
% 18.90/19.08  184,183 [] {-} op1(e10,e10)=e13.
% 18.90/19.08  200,199 [] {-} op1(e11,e11)=e16.
% 18.90/19.08  216,215 [] {-} op1(e12,e12)=e15.
% 18.90/19.08  232,231 [] {-} op1(e13,e13)=e14.
% 18.90/19.08  248,247 [] {-} op1(e14,e14)=e12.
% 18.90/19.08  264,263 [] {-} op1(e15,e15)=e11.
% 18.90/19.08  280,279 [] {-} op1(e16,e16)=e10.
% 18.90/19.08  282,281 [] {-} op2(e20,e20)=e20.
% 18.90/19.08  386 [] {-} j(e20)=e10|j(e20)=e11|j(e20)=e12|j(e20)=e13|j(e20)=e14|j(e20)=e15|j(e20)=e16.
% 18.90/19.08  540 [] {-} j(op2(e20,e20))=op1(j(e20),j(e20)).
% 18.90/19.08  541 [copy,540,demod,282,flip.1] {-} op1(j(e20),j(e20))=j(e20).
% 18.90/19.08  1037 [para_from,386.1.1,541.1.1.2] {-} op1(j(e20),e10)=j(e20)|j(e20)=e11|j(e20)=e12|j(e20)=e13|j(e20)=e14|j(e20)=e15|j(e20)=e16.
% 18.90/19.08  7395 [para_into,1037.1.1.1,386.1.1,demod,184,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {-} j(e20)=e13|j(e20)=e11|j(e20)=e12|j(e20)=e14|j(e20)=e15|j(e20)=e16.
% 18.90/19.08  7529 [para_from,7395.1.1,541.1.1.2] {-} op1(j(e20),e13)=j(e20)|j(e20)=e11|j(e20)=e12|j(e20)=e14|j(e20)=e15|j(e20)=e16.
% 18.90/19.08  9379 [para_into,7529.1.1.1,7395.1.1,demod,232,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {-} j(e20)=e14|j(e20)=e11|j(e20)=e12|j(e20)=e15|j(e20)=e16.
% 18.90/19.08  9522 [para_from,9379.1.1,541.1.1.2] {-} op1(j(e20),e14)=j(e20)|j(e20)=e11|j(e20)=e12|j(e20)=e15|j(e20)=e16.
% 18.90/19.08  10488 [para_into,9522.1.1.1,9379.1.1,demod,248,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] {-} j(e20)=e12|j(e20)=e11|j(e20)=e15|j(e20)=e16.
% 18.90/19.08  10627 [para_from,10488.1.1,541.1.1.2] {-} op1(j(e20),e12)=j(e20)|j(e20)=e11|j(e20)=e15|j(e20)=e16.
% 18.90/19.08  11415 [para_into,10627.1.1.1,10488.1.1,demod,216,factor_simp,factor_simp,factor_simp,factor_simp] {-} j(e20)=e15|j(e20)=e11|j(e20)=e16.
% 18.90/19.08  11554 [para_from,11415.1.1,541.1.1.2] {-} op1(j(e20),e15)=j(e20)|j(e20)=e11|j(e20)=e16.
% 18.90/19.08  12082 [para_into,11554.1.1.1,11415.1.1,demod,264,factor_simp,factor_simp,factor_simp] {-} j(e20)=e11|j(e20)=e16.
% 18.90/19.08  12227 [para_from,12082.1.1,541.1.1.2] {-} op1(j(e20),e11)=j(e20)|j(e20)=e16.
% 18.90/19.08  12366 [para_from,12082.2.1,541.1.1.1] {-} op1(e16,j(e20))=j(e20)|j(e20)=e11.
% 18.90/19.08  12515,12514 [para_into,12227.1.1.1,12082.1.1,demod,200,factor_simp,factor_simp] {-} j(e20)=e16.
% 18.90/19.08  12520 [back_demod,12366,demod,12515,280,12515,12515,unit_del,12,22] {-} $F.
% 18.90/19.08  
% 18.90/19.08  % SZS output end Refutation
% 18.90/19.08  ------------ end of proof -------------
% 18.90/19.08  
% 18.90/19.08  
% 18.90/19.08  Search stopped by max_proofs option.
% 18.90/19.08  
% 18.90/19.08  
% 18.90/19.08  Search stopped by max_proofs option.
% 18.90/19.08  
% 18.90/19.08  ============ end of search ============
% 18.90/19.08  
% 18.90/19.08  That finishes the proof of the theorem.
% 18.90/19.08  
% 18.90/19.08  Process 24391 finished Thu Jun  9 06:23:16 2022
%------------------------------------------------------------------------------