TSTP Solution File: SET792+4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 : Tue Jul 19 05:20:42 EDT 2022

% Result   : Theorem 0.67s 0.89s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET792+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14  % Command  : sos-script %s
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul 10 05:35:57 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.38  ----- Otter 3.2, August 2001 -----
% 0.13/0.38  The process was started by sandbox2 on n028.cluster.edu,
% 0.13/0.38  Sun Jul 10 05:35:57 2022
% 0.13/0.38  The command was "./sos".  The process ID is 27299.
% 0.13/0.38  
% 0.13/0.38  set(prolog_style_variables).
% 0.13/0.38  set(auto).
% 0.13/0.38     dependent: set(auto1).
% 0.13/0.38     dependent: set(process_input).
% 0.13/0.38     dependent: clear(print_kept).
% 0.13/0.38     dependent: clear(print_new_demod).
% 0.13/0.38     dependent: clear(print_back_demod).
% 0.13/0.38     dependent: clear(print_back_sub).
% 0.13/0.38     dependent: set(control_memory).
% 0.13/0.38     dependent: assign(max_mem, 12000).
% 0.13/0.38     dependent: assign(pick_given_ratio, 4).
% 0.13/0.38     dependent: assign(stats_level, 1).
% 0.13/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.38     dependent: assign(sos_limit, 5000).
% 0.13/0.38     dependent: assign(max_weight, 60).
% 0.13/0.38  clear(print_given).
% 0.13/0.38  
% 0.13/0.38  formula_list(usable).
% 0.13/0.38  
% 0.13/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.13/0.38  
% 0.13/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.38  clauses in usable.
% 0.13/0.38  
% 0.13/0.38     dependent: set(knuth_bendix).
% 0.13/0.38     dependent: set(para_from).
% 0.13/0.38     dependent: set(para_into).
% 0.13/0.38     dependent: clear(para_from_right).
% 0.13/0.38     dependent: clear(para_into_right).
% 0.13/0.38     dependent: set(para_from_vars).
% 0.13/0.38     dependent: set(eq_units_both_ways).
% 0.13/0.38     dependent: set(dynamic_demod_all).
% 0.13/0.38     dependent: set(dynamic_demod).
% 0.13/0.38     dependent: set(order_eq).
% 0.13/0.38     dependent: set(back_demod).
% 0.13/0.38     dependent: set(lrpo).
% 0.13/0.38     dependent: set(hyper_res).
% 0.13/0.38     dependent: set(unit_deletion).
% 0.13/0.38     dependent: set(factor).
% 0.13/0.38  
% 0.13/0.38  ------------> process usable:
% 0.13/0.38  
% 0.13/0.38  ------------> process sos:
% 0.13/0.38    Following clause subsumed by 113 during input processing: 0 [copy,113,flip.1] {-} A=A.
% 0.13/0.38  113 back subsumes 87.
% 0.13/0.38  
% 0.13/0.38  ======= end of input processing =======
% 0.58/0.82  
% 0.58/0.82  Stopped by limit on insertions
% 0.58/0.82  
% 0.58/0.82  
% 0.58/0.82  Failed to model usable list: disabling FINDER
% 0.58/0.82  
% 0.58/0.82  
% 0.58/0.82  
% 0.58/0.82  -------------- Softie stats --------------
% 0.58/0.82  
% 0.58/0.82  UPDATE_STOP: 300
% 0.58/0.82  SFINDER_TIME_LIMIT: 2
% 0.58/0.82  SHORT_CLAUSE_CUTOFF: 4
% 0.58/0.82  number of clauses in intial UL: 85
% 0.58/0.82  number of clauses initially in problem: 110
% 0.58/0.82  percentage of clauses intially in UL: 77
% 0.58/0.82  percentage of distinct symbols occuring in initial UL: 100
% 0.58/0.82  percent of all initial clauses that are short: 100
% 0.58/0.82  absolute distinct symbol count: 32
% 0.58/0.82     distinct predicate count: 13
% 0.58/0.82     distinct function count: 16
% 0.58/0.82     distinct constant count: 3
% 0.58/0.82  
% 0.58/0.82  ---------- no more Softie stats ----------
% 0.58/0.82  
% 0.58/0.82  
% 0.58/0.82  
% 0.58/0.82  =========== start of search ===========
% 0.67/0.89  
% 0.67/0.89  -------- PROOF -------- 
% 0.67/0.89  % SZS status Theorem
% 0.67/0.89  % SZS output start Refutation
% 0.67/0.89  
% 0.67/0.89  ----> UNIT CONFLICT at   0.49 sec ----> 722 [binary,721.1,86.1] {-} $F.
% 0.67/0.89  
% 0.67/0.89  Length of proof is 9.  Level of proof is 6.
% 0.67/0.89  
% 0.67/0.89  ---------------- PROOF ----------------
% 0.67/0.89  % SZS status Theorem
% 0.67/0.89  % SZS output start Refutation
% 0.67/0.89  
% 0.67/0.89  2 [] {+} -order(A,B)| -member(C,B)| -member(D,B)| -apply(A,C,D)| -apply(A,D,C)|C=D.
% 0.67/0.89  58 [] {+} -least(A,B,C)|member(A,C).
% 0.67/0.89  59 [] {+} -least(A,B,C)| -member(D,C)|apply(B,A,D).
% 0.67/0.89  70 [] {+} min(A,B,C)| -member(A,C)|member($f14(B,C,A),C).
% 0.67/0.89  71 [] {+} min(A,B,C)| -member(A,C)|apply(B,$f14(B,C,A),A).
% 0.67/0.89  72 [] {-} min(A,B,C)| -member(A,C)|A!=$f14(B,C,A).
% 0.67/0.89  73 [copy,72,flip.3] {+} min(A,B,C)| -member(A,C)|$f14(B,C,A)!=A.
% 0.67/0.89  86 [] {+} -min($c1,$c3,$c2).
% 0.67/0.89  111 [] {-} order($c3,$c2).
% 0.67/0.89  112 [] {-} least($c1,$c3,$c2).
% 0.67/0.89  151 [hyper,112,58] {-} member($c1,$c2).
% 0.67/0.89  161 [hyper,151,71] {-} min($c1,A,$c2)|apply(A,$f14(A,$c2,$c1),$c1).
% 0.67/0.89  162 [hyper,151,70] {-} min($c1,A,$c2)|member($f14(A,$c2,$c1),$c2).
% 0.67/0.89  325 [hyper,162,59,112] {-} min($c1,A,$c2)|apply($c3,$c1,$f14(A,$c2,$c1)).
% 0.67/0.89  505 [hyper,161,86] {-} apply($c3,$f14($c3,$c2,$c1),$c1).
% 0.67/0.89  659 [hyper,325,86] {-} apply($c3,$c1,$f14($c3,$c2,$c1)).
% 0.67/0.89  683 [hyper,659,2,111,162,151,505,unit_del,86] {-} $f14($c3,$c2,$c1)=$c1.
% 0.67/0.89  721 [hyper,683,73,151] {-} min($c1,$c3,$c2).
% 0.67/0.89  722 [binary,721.1,86.1] {-} $F.
% 0.67/0.89  
% 0.67/0.89  % SZS output end Refutation
% 0.67/0.89  ------------ end of proof -------------
% 0.67/0.89  
% 0.67/0.89  
% 0.67/0.89  Search stopped by max_proofs option.
% 0.67/0.89  
% 0.67/0.89  
% 0.67/0.89  Search stopped by max_proofs option.
% 0.67/0.89  
% 0.67/0.89  ============ end of search ============
% 0.67/0.89  
% 0.67/0.89  That finishes the proof of the theorem.
% 0.67/0.89  
% 0.67/0.89  Process 27299 finished Sun Jul 10 05:35:57 2022
%------------------------------------------------------------------------------