TSTP Solution File: SYN075+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n005.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 21 12:09:50 EDT 2022

% Result   : Theorem 0.19s 0.42s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n005.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 12 05:33:51 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 sandbox2 on n005.cluster.edu,
% 0.13/0.36  Tue Jul 12 05:33:51 2022
% 0.13/0.36  The command was "./sos".  The process ID is 8109.
% 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 8 during input processing: 0 [copy,8,flip.1] {-} A=A.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  Failed to model usable list: disabling FINDER
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  -------------- Softie stats --------------
% 0.13/0.41  
% 0.13/0.41  UPDATE_STOP: 300
% 0.13/0.41  SFINDER_TIME_LIMIT: 2
% 0.13/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.41  number of clauses in intial UL: 7
% 0.13/0.41  number of clauses initially in problem: 8
% 0.13/0.41  percentage of clauses intially in UL: 87
% 0.13/0.41  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.41  percent of all initial clauses that are short: 100
% 0.13/0.41  absolute distinct symbol count: 7
% 0.13/0.41     distinct predicate count: 2
% 0.13/0.41     distinct function count: 3
% 0.13/0.41     distinct constant count: 2
% 0.13/0.41  
% 0.13/0.41  ---------- no more Softie stats ----------
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  =========== start of search ===========
% 0.19/0.42  
% 0.19/0.42  -------- PROOF -------- 
% 0.19/0.42  % SZS status Theorem
% 0.19/0.42  % SZS output start Refutation
% 0.19/0.42  
% 0.19/0.42  -----> EMPTY CLAUSE at   0.04 sec ----> 193 [para_from,168.1.1,7.2.1,demod,169,24,24,unit_del,10,8,8] {-} $F.
% 0.19/0.42  
% 0.19/0.42  Length of proof is 7.  Level of proof is 6.
% 0.19/0.42  
% 0.19/0.42  ---------------- PROOF ----------------
% 0.19/0.42  % SZS status Theorem
% 0.19/0.42  % SZS output start Refutation
% 0.19/0.42  
% 0.19/0.42  1 [] {+} -big_f(A,B)|A=$c2.
% 0.19/0.42  2 [] {+} -big_f(A,B)|B=$c1.
% 0.19/0.42  3 [] {+} big_f(A,B)|A!=$c2|B!=$c1.
% 0.19/0.42  5 [] {+} big_f(A,$f3(B))|A!=$f1(B)|$f3(B)=B.
% 0.19/0.42  6 [] {+} big_f($f2(A,B),$f3(A))|$f2(A,B)=B|$f3(A)!=A.
% 0.19/0.42  7 [] {+} -big_f($f2(A,B),$f3(A))|$f2(A,B)!=B|$f3(A)!=A.
% 0.19/0.42  8 [] {-} A=A.
% 0.19/0.42  9 [hyper,8,5] {-} big_f($f1(A),$f3(A))|$f3(A)=A.
% 0.19/0.42  10 [hyper,8,3,8] {-} big_f($c2,$c1).
% 0.19/0.42  21 [hyper,9,2] {-} $f3(A)=A|$f3(A)=$c1.
% 0.19/0.42  24,23 [factor,21.1.2] {-} $f3($c1)=$c1.
% 0.19/0.42  53 [hyper,23,6,demod,24] {-} big_f($f2($c1,A),$c1)|$f2($c1,A)=A.
% 0.19/0.42  167 [hyper,53,1] {-} $f2($c1,A)=A|$f2($c1,A)=$c2.
% 0.19/0.42  169,168 [factor,167.1.2] {-} $f2($c1,$c2)=$c2.
% 0.19/0.42  193 [para_from,168.1.1,7.2.1,demod,169,24,24,unit_del,10,8,8] {-} $F.
% 0.19/0.42  
% 0.19/0.42  % SZS output end Refutation
% 0.19/0.42  ------------ end of proof -------------
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  Search stopped by max_proofs option.
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  Search stopped by max_proofs option.
% 0.19/0.42  
% 0.19/0.42  ============ end of search ============
% 0.19/0.42  
% 0.19/0.42  That finishes the proof of the theorem.
% 0.19/0.42  
% 0.19/0.42  Process 8109 finished Tue Jul 12 05:33:52 2022
%------------------------------------------------------------------------------