TSTP Solution File: NUM851+2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : NUM851+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n012.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 : Mon Jul 18 14:22:39 EDT 2022

% Result   : Theorem 0.20s 0.44s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM851+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n012.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 : Tue Jul  5 14:10:15 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 n012.cluster.edu,
% 0.13/0.36  Tue Jul  5 14:10:15 2022
% 0.13/0.36  The command was "./sos".  The process ID is 4309.
% 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  formula_list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.13/0.36  
% 0.13/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36  clauses in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(knuth_bendix).
% 0.13/0.36     dependent: set(para_from).
% 0.13/0.36     dependent: set(para_into).
% 0.13/0.36     dependent: clear(para_from_right).
% 0.13/0.36     dependent: clear(para_into_right).
% 0.13/0.36     dependent: set(para_from_vars).
% 0.13/0.36     dependent: set(eq_units_both_ways).
% 0.13/0.36     dependent: set(dynamic_demod_all).
% 0.13/0.36     dependent: set(dynamic_demod).
% 0.13/0.36     dependent: set(order_eq).
% 0.13/0.36     dependent: set(back_demod).
% 0.13/0.36     dependent: set(lrpo).
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: set(unit_deletion).
% 0.13/0.36     dependent: set(factor).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36    Following clause subsumed by 38 during input processing: 0 [demod,44] {-} vplus(A,v1)=vplus(v1,A).
% 0.13/0.36    Following clause subsumed by 29 during input processing: 0 [copy,29,flip.1] {-} vmul(A,B)=vmul(B,A).
% 0.13/0.36    Following clause subsumed by 38 during input processing: 0 [copy,38,flip.1] {-} vplus(A,B)=vplus(B,A).
% 0.13/0.36    Following clause subsumed by 51 during input processing: 0 [copy,51,flip.1] {-} A=A.
% 0.13/0.36    Following clause subsumed by 48 during input processing: 0 [copy,57,flip.1] {-} vplus(A,vplus(v1,B))=vplus(v1,vplus(A,B)).
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  Failed to model usable list: disabling FINDER
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  -------------- Softie stats --------------
% 0.20/0.42  
% 0.20/0.42  UPDATE_STOP: 300
% 0.20/0.42  SFINDER_TIME_LIMIT: 2
% 0.20/0.42  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.42  number of clauses in intial UL: 10
% 0.20/0.42  number of clauses initially in problem: 37
% 0.20/0.42  percentage of clauses intially in UL: 27
% 0.20/0.42  percentage of distinct symbols occuring in initial UL: 47
% 0.20/0.42  percent of all initial clauses that are short: 100
% 0.20/0.42  absolute distinct symbol count: 17
% 0.20/0.42     distinct predicate count: 5
% 0.20/0.42     distinct function count: 7
% 0.20/0.42     distinct constant count: 5
% 0.20/0.42  
% 0.20/0.42  ---------- no more Softie stats ----------
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  =========== start of search ===========
% 0.20/0.44  
% 0.20/0.44  -------- PROOF -------- 
% 0.20/0.44  % SZS status Theorem
% 0.20/0.44  % SZS output start Refutation
% 0.20/0.44  
% 0.20/0.44  ----> UNIT CONFLICT at   0.06 sec ----> 474 [binary,473.1,29.1] {-} $F.
% 0.20/0.44  
% 0.20/0.44  Length of proof is 6.  Level of proof is 3.
% 0.20/0.44  
% 0.20/0.44  ---------------- PROOF ----------------
% 0.20/0.44  % SZS status Theorem
% 0.20/0.44  % SZS output start Refutation
% 0.20/0.44  
% 0.20/0.44  1 [] {-} vmul(vplus(vd471,vd473),vd469)!=vplus(vmul(vd471,vd469),vmul(vd473,vd469)).
% 0.20/0.44  2 [copy,1,flip.1] {-} vplus(vmul(vd471,vd469),vmul(vd473,vd469))!=vmul(vplus(vd471,vd473),vd469).
% 0.20/0.44  20 [] {-} vd470=vplus(vd471,vd473).
% 0.20/0.44  22,21 [copy,20,flip.1] {-} vplus(vd471,vd473)=vd470.
% 0.20/0.44  26 [] {-} vmul(A,vplus(B,C))=vplus(vmul(A,B),vmul(A,C)).
% 0.20/0.44  27 [copy,26,flip.1] {-} vplus(vmul(A,B),vmul(A,C))=vmul(A,vplus(B,C)).
% 0.20/0.44  29 [] {-} vmul(A,B)=vmul(B,A).
% 0.20/0.44  52 [back_demod,2,demod,22] {-} vplus(vmul(vd471,vd469),vmul(vd473,vd469))!=vmul(vd470,vd469).
% 0.20/0.44  99,98 [para_from,29.1.1,27.1.1.2] {-} vplus(vmul(A,B),vmul(C,A))=vmul(A,vplus(B,C)).
% 0.20/0.44  473 [para_into,52.1.1.1,29.1.1,demod,99,22,flip.1] {-} vmul(vd470,vd469)!=vmul(vd469,vd470).
% 0.20/0.44  474 [binary,473.1,29.1] {-} $F.
% 0.20/0.44  
% 0.20/0.44  % SZS output end Refutation
% 0.20/0.44  ------------ end of proof -------------
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  Search stopped by max_proofs option.
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  Search stopped by max_proofs option.
% 0.20/0.44  
% 0.20/0.44  ============ end of search ============
% 0.20/0.44  
% 0.20/0.44  That finishes the proof of the theorem.
% 0.20/0.44  
% 0.20/0.44  Process 4309 finished Tue Jul  5 14:10:15 2022
%------------------------------------------------------------------------------