TSTP Solution File: SYO634-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% 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 21 19:50:05 EDT 2022

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.14  % Command  : sos-script %s
% 0.13/0.35  % Computer : n027.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 : Sat Jul  9 07:06:31 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 n027.cluster.edu,
% 0.13/0.38  Sat Jul  9 07:06:31 2022
% 0.13/0.38  The command was "./sos".  The process ID is 2179.
% 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  list(usable).
% 0.13/0.38  
% 0.13/0.38  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=11.
% 0.13/0.38  
% 0.13/0.38  This is a Horn set without equality.  The strategy will
% 0.13/0.38  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.38  in usable.
% 0.13/0.38  
% 0.13/0.38     dependent: set(hyper_res).
% 0.13/0.38     dependent: clear(order_hyper).
% 0.13/0.38  
% 0.13/0.38  ------------> process usable:
% 0.13/0.38  
% 0.13/0.38  ------------> process sos:
% 0.13/0.38  
% 0.13/0.38  ======= end of input processing =======
% 0.21/0.59  
% 0.21/0.59  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.59  
% 0.21/0.59  Stopped by limit on number of solutions
% 0.21/0.59  
% 0.21/0.59  
% 0.21/0.59  -------------- Softie stats --------------
% 0.21/0.59  
% 0.21/0.59  UPDATE_STOP: 300
% 0.21/0.59  SFINDER_TIME_LIMIT: 2
% 0.21/0.59  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.59  number of clauses in intial UL: 19
% 0.21/0.59  number of clauses initially in problem: 23
% 0.21/0.59  percentage of clauses intially in UL: 82
% 0.21/0.59  percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.59  percent of all initial clauses that are short: 100
% 0.21/0.59  absolute distinct symbol count: 6
% 0.21/0.59     distinct predicate count: 2
% 0.21/0.59     distinct function count: 3
% 0.21/0.59     distinct constant count: 1
% 0.21/0.59  
% 0.21/0.59  ---------- no more Softie stats ----------
% 0.21/0.59  
% 0.21/0.59  
% 0.21/0.59  
% 0.21/0.59  =========== start of search ===========
% 0.21/0.59  
% 0.21/0.59  -------- PROOF -------- 
% 0.21/0.59  % SZS status Unsatisfiable
% 0.21/0.59  % SZS output start Refutation
% 0.21/0.59  
% 0.21/0.59  -----> EMPTY CLAUSE at   0.18 sec ----> 42 [hyper,40,14,25,31,38,20,32,36,27,34,21,29] {-} $F.
% 0.21/0.59  
% 0.21/0.59  Length of proof is 9.  Level of proof is 9.
% 0.21/0.59  
% 0.21/0.59  ---------------- PROOF ----------------
% 0.21/0.59  % SZS status Unsatisfiable
% 0.21/0.59  % SZS output start Refutation
% 0.21/0.59  
% 0.21/0.59  1 [] {+} -'E'(f(A),s(s(s(s(s(s(s(s(s('0'))))))))))| -'E'(f(B),s(s(s(s(s(s(s(s(s(s('0')))))))))))|'E'(f(B),s(s(s(s(s(s(s(s('0'))))))))).
% 0.21/0.59  5 [] {+} -'E'(f(A),s(s(s(s(s(s(s(s(s('0'))))))))))| -'E'(f(B),s(s(s(s(s(s(s(s(s(s('0')))))))))))| -'E'(f(C),s(s(s(s(s(s(s(s('0')))))))))| -'E'(f(D),s(s(s(s(s(s(s('0'))))))))|'E'(f(B),s(s(s(s(s(s('0'))))))).
% 0.21/0.59  9 [] {+} -'E'(f(A),s(s(s(s(s(s(s(s('0')))))))))| -'E'(f(B),s(s(s(s(s('0'))))))| -'E'(f(C),s(s(s(s(s(s(s(s(s(s('0')))))))))))| -'E'(f(D),s(s(s(s('0')))))| -'E'(f(E),s(s('0')))| -'E'(f(F),s(s(s(s(s(s(s('0'))))))))| -'E'(f(G),s(s(s('0'))))| -'E'(f(H),s(s(s(s(s(s(s(s(s('0'))))))))))| -'E'(f(I),s(s(s(s(s(s('0')))))))|'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),J)),s('0')).
% 0.21/0.59  10 [] {+} -'E'(f(A),s(s(s(s(s(s(s(s('0')))))))))| -'E'(f(B),s(s(s(s(s('0'))))))| -'E'(f(C),s(s(s(s(s(s(s(s(s(s('0')))))))))))| -'E'(f(D),s(s(s(s(s(s(s('0'))))))))| -'E'(f(E),s(s(s(s(s(s(s(s(s('0'))))))))))| -'E'(f(F),s(s(s(s(s(s('0')))))))|'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),G)),s(s(s(s('0'))))).
% 0.21/0.59  11 [] {+} -'E'(f(A),s(s(s(s(s(s(s(s(s('0'))))))))))| -'E'(f(B),s(s(s(s(s(s(s(s(s(s('0')))))))))))| -'E'(f(C),s(s(s(s(s(s(s(s('0')))))))))|'E'(f(B),s(s(s(s(s(s(s('0')))))))).
% 0.21/0.59  12 [] {+} -'E'(f(A),s(s(s(s(s(s(s(s('0')))))))))| -'E'(f(B),s(s(s(s(s('0'))))))| -'E'(f(C),s(s(s(s(s(s(s(s(s(s('0')))))))))))| -'E'(f(D),s(s(s(s('0')))))| -'E'(f(E),s(s(s(s(s(s(s('0'))))))))| -'E'(f(F),s(s(s(s(s(s(s(s(s('0'))))))))))| -'E'(f(G),s(s(s(s(s(s('0')))))))|'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),H)),s(s(s('0')))).
% 0.21/0.59  14 [] {+} -'E'(f(A),s(s(s(s(s(s(s(s('0')))))))))| -'E'(f(B),s(s(s(s(s('0'))))))| -'E'(f(C),s('0'))| -'E'(f(D),s(s(s(s(s(s(s(s(s(s('0')))))))))))| -'E'(f(E),s(s(s(s('0')))))| -'E'(f(F),s(s('0')))| -'E'(f(G),s(s(s(s(s(s(s('0'))))))))| -'E'(f(H),s(s(s('0'))))| -'E'(f(I),s(s(s(s(s(s(s(s(s('0'))))))))))| -'E'(f(J),s(s(s(s(s(s('0')))))))| -'E'(f(K),'0').
% 0.21/0.59  16 [] {+} -'E'(f(A),s(s(s(s(s(s(s(s('0')))))))))| -'E'(f(B),s(s(s(s(s('0'))))))| -'E'(f(C),s(s(s(s(s(s(s(s(s(s('0')))))))))))| -'E'(f(D),s(s(s(s('0')))))| -'E'(f(E),s(s(s(s(s(s(s('0'))))))))| -'E'(f(F),s(s(s('0'))))| -'E'(f(G),s(s(s(s(s(s(s(s(s('0'))))))))))| -'E'(f(H),s(s(s(s(s(s('0')))))))|'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),I)),s(s('0'))).
% 0.21/0.59  17 [] {+} -'E'(f(A),s(s(s(s(s(s(s(s('0')))))))))| -'E'(f(B),s(s(s(s(s(s(s(s(s(s('0')))))))))))| -'E'(f(C),s(s(s(s(s(s(s('0'))))))))| -'E'(f(D),s(s(s(s(s(s(s(s(s('0'))))))))))| -'E'(f(E),s(s(s(s(s(s('0')))))))|'E'(f(B),s(s(s(s(s('0')))))).
% 0.21/0.59  19 [] {+} -'E'(f(A),s(s(s(s(s(s(s(s('0')))))))))| -'E'(f(B),s(s(s(s(s('0'))))))| -'E'(f(C),s('0'))| -'E'(f(D),s(s(s(s(s(s(s(s(s(s('0')))))))))))| -'E'(f(E),s(s(s(s('0')))))| -'E'(f(F),s(s('0')))| -'E'(f(G),s(s(s(s(s(s(s('0'))))))))| -'E'(f(H),s(s(s('0'))))| -'E'(f(I),s(s(s(s(s(s(s(s(s('0'))))))))))| -'E'(f(J),s(s(s(s(s(s('0')))))))|'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),K)),'0').
% 0.21/0.59  20 [] {-} 'E'(f(A),s(s(s(s(s(s(s(s(s(s('0'))))))))))).
% 0.21/0.59  21 [] {-} 'E'(f(A),s(s(s(s(s(s(s(s(s('0')))))))))).
% 0.21/0.59  25 [hyper,21,1,20] {-} 'E'(f(A),s(s(s(s(s(s(s(s('0'))))))))).
% 0.21/0.59  27 [hyper,25,11,21,20] {-} 'E'(f(A),s(s(s(s(s(s(s('0')))))))).
% 0.21/0.59  29 [hyper,27,5,21,20,25] {-} 'E'(f(A),s(s(s(s(s(s('0'))))))).
% 0.21/0.59  31 [hyper,29,17,25,20,27,21] {-} 'E'(f(A),s(s(s(s(s('0')))))).
% 0.21/0.59  32 [hyper,31,10,25,20,27,21,29] {-} 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),A)),s(s(s(s('0'))))).
% 0.21/0.59  34 [hyper,32,12,25,31,20,27,21,29] {-} 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),A)),s(s(s('0')))).
% 0.21/0.59  36 [hyper,34,16,25,31,20,32,27,21,29] {-} 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),A)),s(s('0'))).
% 0.21/0.59  38 [hyper,36,9,25,31,20,32,27,34,21,29] {-} 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),A)),s('0')).
% 0.21/0.59  40 [hyper,38,19,25,31,20,32,36,27,34,21,29] {-} 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),A)),'0').
% 0.21/0.59  42 [hyper,40,14,25,31,38,20,32,36,27,34,21,29] {-} $F.
% 0.21/0.59  
% 0.21/0.59  % SZS output end Refutation
% 0.21/0.59  ------------ end of proof -------------
% 0.21/0.59  
% 0.21/0.59  
% 0.21/0.59  Search stopped by max_proofs option.
% 0.21/0.59  
% 0.21/0.59  
% 0.21/0.59  Search stopped by max_proofs option.
% 0.21/0.59  
% 0.21/0.59  ============ end of search ============
% 0.21/0.59  
% 0.21/0.59  ----------- soft-scott stats ----------
% 0.21/0.59  
% 0.21/0.59  true clauses given           0      (0.0%)
% 0.21/0.59  false clauses given         18
% 0.21/0.59  
% 0.21/0.59        FALSE     TRUE
% 0.21/0.59    18  1         0
% 0.21/0.59    19  1         0
% 0.21/0.59    20  1         0
% 0.21/0.59    21  1         0
% 0.21/0.59  tot:  4         0      (0.0% true)
% 0.21/0.59  
% 0.21/0.59  
% 0.21/0.59  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.59  
% 0.21/0.59  That finishes the proof of the theorem.
% 0.21/0.59  
% 0.21/0.59  Process 2179 finished Sat Jul  9 07:06:31 2022
%------------------------------------------------------------------------------