TSTP Solution File: SYN549+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% 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 : Thu Jul 21 12:14:04 EDT 2022

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.33  % Computer : n028.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 : Mon Jul 11 19:35:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox2 on n028.cluster.edu,
% 0.13/0.35  Mon Jul 11 19:35:14 2022
% 0.13/0.35  The command was "./sos".  The process ID is 21168.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  formula_list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 0.13/0.35  
% 0.13/0.35  This is a non-Horn set without equality.  The strategy
% 0.13/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: set(factor).
% 0.13/0.35     dependent: set(unit_deletion).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35    Following clause subsumed by 16 during input processing: 0 [] {-} -reachable(initial_world,A)| -reachable($f5(A),B)| -p(B)| -reachable($f5(A),C)| -q(C).
% 0.13/0.35    Following clause subsumed by 16 during input processing: 0 [] {-} -reachable(initial_world,A)| -reachable($f5(A),B)| -reachable(B,C)| -q(C)| -reachable($f5(A),D)| -p(D).
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.38/0.61  
% 0.38/0.61  Stopped by limit on insertions
% 0.38/0.61  
% 0.38/0.61  
% 0.38/0.61  Failed to model usable list: disabling FINDER
% 0.38/0.61  
% 0.38/0.61  
% 0.38/0.61  
% 0.38/0.61  -------------- Softie stats --------------
% 0.38/0.61  
% 0.38/0.61  UPDATE_STOP: 300
% 0.38/0.61  SFINDER_TIME_LIMIT: 2
% 0.38/0.61  SHORT_CLAUSE_CUTOFF: 4
% 0.38/0.61  number of clauses in intial UL: 25
% 0.38/0.61  number of clauses initially in problem: 26
% 0.38/0.61  percentage of clauses intially in UL: 96
% 0.38/0.61  percentage of distinct symbols occuring in initial UL: 100
% 0.38/0.61  percent of all initial clauses that are short: 100
% 0.38/0.61  absolute distinct symbol count: 9
% 0.38/0.61     distinct predicate count: 3
% 0.38/0.61     distinct function count: 5
% 0.38/0.61     distinct constant count: 1
% 0.38/0.61  
% 0.38/0.61  ---------- no more Softie stats ----------
% 0.38/0.61  
% 0.38/0.61  
% 0.38/0.61  
% 0.38/0.61  =========== start of search ===========
% 0.57/0.74  
% 0.57/0.74  -------- PROOF -------- 
% 0.57/0.74  % SZS status Theorem
% 0.57/0.74  % SZS output start Refutation
% 0.57/0.74  
% 0.57/0.74  -----> EMPTY CLAUSE at   0.36 sec ----> 1077 [hyper,1076,16,27,1060] {-} $F.
% 0.57/0.74  
% 0.57/0.74  Length of proof is 40.  Level of proof is 11.
% 0.57/0.74  
% 0.57/0.74  ---------------- PROOF ----------------
% 0.57/0.74  % SZS status Theorem
% 0.57/0.74  % SZS output start Refutation
% 0.57/0.74  
% 0.57/0.74  1 [] {+} -reachable(A,B)| -reachable(B,C)|reachable(A,C).
% 0.57/0.74  3 [] {+} -reachable(initial_world,A)|reachable($f5(A),$f2(A))|reachable($f5(A),$f3(A))|reachable($f5(A),$f4(A)).
% 0.57/0.74  4 [] {+} -reachable(initial_world,A)|reachable($f5(A),$f2(A))|reachable($f5(A),$f3(A))|q($f4(A)).
% 0.57/0.74  5 [] {+} -reachable(initial_world,A)|reachable($f5(A),$f2(A))|p($f3(A))|reachable($f5(A),$f4(A)).
% 0.57/0.74  6 [] {+} -reachable(initial_world,A)|reachable($f5(A),$f2(A))|p($f3(A))|q($f4(A)).
% 0.57/0.74  7 [] {+} -reachable(initial_world,A)|p($f2(A))|reachable($f2(A),$f1(A))|reachable($f5(A),$f3(A))|reachable($f5(A),$f4(A)).
% 0.57/0.74  8 [] {+} -reachable(initial_world,A)|p($f2(A))|reachable($f2(A),$f1(A))|reachable($f5(A),$f3(A))|q($f4(A)).
% 0.57/0.74  9 [] {+} -reachable(initial_world,A)|p($f2(A))|reachable($f2(A),$f1(A))|p($f3(A))|reachable($f5(A),$f4(A)).
% 0.57/0.74  10 [] {+} -reachable(initial_world,A)|p($f2(A))|reachable($f2(A),$f1(A))|p($f3(A))|q($f4(A)).
% 0.57/0.74  11 [] {+} -reachable(initial_world,A)|p($f2(A))|q($f1(A))|reachable($f5(A),$f3(A))|reachable($f5(A),$f4(A)).
% 0.57/0.74  12 [] {+} -reachable(initial_world,A)|p($f2(A))|q($f1(A))|reachable($f5(A),$f3(A))|q($f4(A)).
% 0.57/0.74  13 [] {+} -reachable(initial_world,A)|p($f2(A))|q($f1(A))|p($f3(A))|reachable($f5(A),$f4(A)).
% 0.57/0.74  14 [] {+} -reachable(initial_world,A)|p($f2(A))|q($f1(A))|p($f3(A))|q($f4(A)).
% 0.57/0.74  15 [] {-} -reachable(initial_world,A)| -reachable($f5(A),B)| -p(B)| -reachable($f5(A),C)| -p(C).
% 0.57/0.74  16 [copy,15,factor_simp,factor_simp] {+} -reachable(initial_world,A)| -reachable($f5(A),B)| -p(B).
% 0.57/0.74  17 [] {+} -reachable(initial_world,A)| -reachable($f5(A),B)| -reachable(B,C)| -q(C)| -reachable($f5(A),D)| -q(D).
% 0.57/0.74  20 [factor,17.2.5] {+} -reachable(initial_world,A)| -reachable($f5(A),B)| -reachable(B,C)| -q(C)| -q(B).
% 0.57/0.74  25 [factor,20.4.5] {+} -reachable(initial_world,A)| -reachable($f5(A),B)| -reachable(B,B)| -q(B).
% 0.57/0.74  27 [] {-} reachable(A,A).
% 0.57/0.74  28 [hyper,27,14] {-} p($f2(initial_world))|q($f1(initial_world))|p($f3(initial_world))|q($f4(initial_world)).
% 0.57/0.74  29 [hyper,27,13] {-} p($f2(initial_world))|q($f1(initial_world))|p($f3(initial_world))|reachable($f5(initial_world),$f4(initial_world)).
% 0.57/0.74  30 [hyper,27,12] {-} p($f2(initial_world))|q($f1(initial_world))|reachable($f5(initial_world),$f3(initial_world))|q($f4(initial_world)).
% 0.57/0.74  31 [hyper,27,11] {-} p($f2(initial_world))|q($f1(initial_world))|reachable($f5(initial_world),$f3(initial_world))|reachable($f5(initial_world),$f4(initial_world)).
% 0.57/0.74  32 [hyper,27,10] {-} p($f2(initial_world))|reachable($f2(initial_world),$f1(initial_world))|p($f3(initial_world))|q($f4(initial_world)).
% 0.57/0.74  33 [hyper,27,9] {-} p($f2(initial_world))|reachable($f2(initial_world),$f1(initial_world))|p($f3(initial_world))|reachable($f5(initial_world),$f4(initial_world)).
% 0.57/0.74  34 [hyper,27,8] {-} p($f2(initial_world))|reachable($f2(initial_world),$f1(initial_world))|reachable($f5(initial_world),$f3(initial_world))|q($f4(initial_world)).
% 0.57/0.74  35 [hyper,27,7] {-} p($f2(initial_world))|reachable($f2(initial_world),$f1(initial_world))|reachable($f5(initial_world),$f3(initial_world))|reachable($f5(initial_world),$f4(initial_world)).
% 0.57/0.74  36 [hyper,27,6] {-} reachable($f5(initial_world),$f2(initial_world))|p($f3(initial_world))|q($f4(initial_world)).
% 0.57/0.74  37 [hyper,27,5] {-} reachable($f5(initial_world),$f2(initial_world))|p($f3(initial_world))|reachable($f5(initial_world),$f4(initial_world)).
% 0.57/0.74  38 [hyper,27,4] {-} reachable($f5(initial_world),$f2(initial_world))|reachable($f5(initial_world),$f3(initial_world))|q($f4(initial_world)).
% 0.57/0.74  39 [hyper,27,3] {-} reachable($f5(initial_world),$f2(initial_world))|reachable($f5(initial_world),$f3(initial_world))|reachable($f5(initial_world),$f4(initial_world)).
% 0.57/0.74  136 [hyper,39,16,27,37,factor_simp,factor_simp] {-} reachable($f5(initial_world),$f2(initial_world))|reachable($f5(initial_world),$f4(initial_world)).
% 0.57/0.74  137 [hyper,39,25,27,27,38,factor_simp,factor_simp] {-} reachable($f5(initial_world),$f2(initial_world))|reachable($f5(initial_world),$f3(initial_world)).
% 0.57/0.74  138 [hyper,136,16,27,33,factor_simp] {-} reachable($f5(initial_world),$f4(initial_world))|reachable($f2(initial_world),$f1(initial_world))|p($f3(initial_world)).
% 0.57/0.74  140 [hyper,136,25,27,27,36,factor_simp] {-} reachable($f5(initial_world),$f2(initial_world))|p($f3(initial_world)).
% 0.57/0.74  142 [hyper,35,16,27,136,factor_simp] {-} reachable($f2(initial_world),$f1(initial_world))|reachable($f5(initial_world),$f3(initial_world))|reachable($f5(initial_world),$f4(initial_world)).
% 0.57/0.74  201 [hyper,137,16,27,140,factor_simp] {-} reachable($f5(initial_world),$f2(initial_world)).
% 0.57/0.74  303 [hyper,142,16,27,138,factor_simp,factor_simp] {-} reachable($f2(initial_world),$f1(initial_world))|reachable($f5(initial_world),$f4(initial_world)).
% 0.57/0.74  304 [hyper,142,25,27,27,34,factor_simp,factor_simp] {-} reachable($f2(initial_world),$f1(initial_world))|reachable($f5(initial_world),$f3(initial_world))|p($f2(initial_world)).
% 0.57/0.74  307 [hyper,303,1,201] {-} reachable($f5(initial_world),$f4(initial_world))|reachable($f5(initial_world),$f1(initial_world)).
% 0.57/0.74  308 [hyper,303,25,27,27,32,factor_simp] {-} reachable($f2(initial_world),$f1(initial_world))|p($f2(initial_world))|p($f3(initial_world)).
% 0.57/0.74  385 [hyper,307,25,27,27,31,factor_simp] {-} reachable($f5(initial_world),$f4(initial_world))|p($f2(initial_world))|reachable($f5(initial_world),$f3(initial_world)).
% 0.57/0.74  386 [hyper,307,25,27,27,29,factor_simp] {-} reachable($f5(initial_world),$f4(initial_world))|p($f2(initial_world))|p($f3(initial_world)).
% 0.57/0.74  517 [hyper,308,16,27,201] {-} reachable($f2(initial_world),$f1(initial_world))|p($f3(initial_world)).
% 0.57/0.74  581 [hyper,386,16,27,201] {-} reachable($f5(initial_world),$f4(initial_world))|p($f3(initial_world)).
% 0.57/0.74  941 [hyper,304,16,27,201] {-} reachable($f2(initial_world),$f1(initial_world))|reachable($f5(initial_world),$f3(initial_world)).
% 0.57/0.74  945 [hyper,941,16,27,517,factor_simp] {-} reachable($f2(initial_world),$f1(initial_world)).
% 0.57/0.74  947 [hyper,945,1,201] {-} reachable($f5(initial_world),$f1(initial_world)).
% 0.57/0.74  962 [hyper,947,25,27,27,30] {-} p($f2(initial_world))|reachable($f5(initial_world),$f3(initial_world))|q($f4(initial_world)).
% 0.57/0.74  963 [hyper,947,25,27,27,28] {-} p($f2(initial_world))|p($f3(initial_world))|q($f4(initial_world)).
% 0.57/0.74  1040 [hyper,385,16,27,201] {-} reachable($f5(initial_world),$f4(initial_world))|reachable($f5(initial_world),$f3(initial_world)).
% 0.57/0.74  1042 [hyper,1040,25,27,27,962,factor_simp] {-} reachable($f5(initial_world),$f3(initial_world))|p($f2(initial_world)).
% 0.57/0.74  1044 [hyper,1040,16,27,581,factor_simp] {-} reachable($f5(initial_world),$f4(initial_world)).
% 0.57/0.74  1045 [hyper,1044,25,27,27,963] {-} p($f2(initial_world))|p($f3(initial_world)).
% 0.57/0.74  1060 [hyper,1045,16,27,201] {-} p($f3(initial_world)).
% 0.57/0.74  1076 [hyper,1042,16,27,201] {-} reachable($f5(initial_world),$f3(initial_world)).
% 0.57/0.74  1077 [hyper,1076,16,27,1060] {-} $F.
% 0.57/0.74  
% 0.57/0.74  % SZS output end Refutation
% 0.57/0.74  ------------ end of proof -------------
% 0.57/0.74  
% 0.57/0.74  
% 0.57/0.74  Search stopped by max_proofs option.
% 0.57/0.74  
% 0.57/0.74  
% 0.57/0.74  Search stopped by max_proofs option.
% 0.57/0.74  
% 0.57/0.74  ============ end of search ============
% 0.57/0.74  
% 0.57/0.74  That finishes the proof of the theorem.
% 0.57/0.74  
% 0.57/0.74  Process 21168 finished Mon Jul 11 19:35:14 2022
%------------------------------------------------------------------------------