TSTP Solution File: SYN156-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN156-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n019.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 12:10:33 EDT 2022

% Result   : Unsatisfiable 0.70s 0.90s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN156-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Mon Jul 11 20:22:53 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.15/0.39  ----- Otter 3.2, August 2001 -----
% 0.15/0.39  The process was started by sandbox2 on n019.cluster.edu,
% 0.15/0.39  Mon Jul 11 20:22:53 2022
% 0.15/0.39  The command was "./sos".  The process ID is 18979.
% 0.15/0.39  
% 0.15/0.39  set(prolog_style_variables).
% 0.15/0.39  set(auto).
% 0.15/0.39     dependent: set(auto1).
% 0.15/0.39     dependent: set(process_input).
% 0.15/0.39     dependent: clear(print_kept).
% 0.15/0.39     dependent: clear(print_new_demod).
% 0.15/0.39     dependent: clear(print_back_demod).
% 0.15/0.39     dependent: clear(print_back_sub).
% 0.15/0.39     dependent: set(control_memory).
% 0.15/0.39     dependent: assign(max_mem, 12000).
% 0.15/0.39     dependent: assign(pick_given_ratio, 4).
% 0.15/0.39     dependent: assign(stats_level, 1).
% 0.15/0.39     dependent: assign(pick_semantic_ratio, 3).
% 0.15/0.39     dependent: assign(sos_limit, 5000).
% 0.15/0.39     dependent: assign(max_weight, 60).
% 0.15/0.39  clear(print_given).
% 0.15/0.39  
% 0.15/0.39  list(usable).
% 0.15/0.39  
% 0.15/0.39  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.15/0.39  
% 0.15/0.39  This is a Horn set without equality.  The strategy will
% 0.15/0.39  be hyperresolution, with satellites in sos and nuclei
% 0.15/0.39  in usable.
% 0.15/0.39  
% 0.15/0.39     dependent: set(hyper_res).
% 0.15/0.39     dependent: clear(order_hyper).
% 0.15/0.39  
% 0.15/0.39  ------------> process usable:
% 0.15/0.39    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.15/0.39    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.15/0.39    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.15/0.39    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.15/0.39    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.15/0.39    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.15/0.39    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.15/0.39    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.15/0.39    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.15/0.39    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.15/0.39    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.15/0.39    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.15/0.39    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.15/0.39    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.15/0.39    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.15/0.39    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.15/0.39    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.15/0.39  13 back subsumes 9.
% 0.15/0.39  14 back subsumes 6.
% 0.15/0.39  28 back subsumes 21.
% 0.15/0.39  28 back subsumes 17.
% 0.15/0.39  40 back subsumes 39.
% 0.15/0.39  52 back subsumes 51.
% 0.15/0.39  77 back subsumes 68.
% 0.15/0.39  77 back subsumes 65.
% 0.15/0.39  142 back subsumes 134.
% 0.15/0.39  194 back subsumes 180.
% 0.15/0.39  216 back subsumes 213.
% 0.15/0.39  216 back subsumes 212.
% 0.15/0.39  244 back subsumes 239.
% 0.15/0.39  
% 0.15/0.39  ------------> process sos:
% 0.15/0.39    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.15/0.39    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.15/0.39  321 back subsumes 317.
% 0.15/0.39  324 back subsumes 309.
% 0.15/0.39  326 back subsumes 315.
% 0.15/0.39  326 back subsumes 311.
% 0.15/0.39  
% 0.15/0.39  ======= end of input processing =======
% 0.70/0.89  
% 0.70/0.89  Stopped by limit on insertions
% 0.70/0.89  
% 0.70/0.89  
% 0.70/0.89  Failed to model usable list: disabling FINDER
% 0.70/0.89  
% 0.70/0.89  
% 0.70/0.89  
% 0.70/0.89  -------------- Softie stats --------------
% 0.70/0.89  
% 0.70/0.89  UPDATE_STOP: 300
% 0.70/0.89  SFINDER_TIME_LIMIT: 2
% 0.70/0.89  SHORT_CLAUSE_CUTOFF: 4
% 0.70/0.89  number of clauses in intial UL: 294
% 0.70/0.89  number of clauses initially in problem: 326
% 0.70/0.89  percentage of clauses intially in UL: 90
% 0.70/0.89  percentage of distinct symbols occuring in initial UL: 100
% 0.70/0.89  percent of all initial clauses that are short: 100
% 0.70/0.89  absolute distinct symbol count: 53
% 0.70/0.89     distinct predicate count: 48
% 0.70/0.89     distinct function count: 0
% 0.70/0.89     distinct constant count: 5
% 0.70/0.89  
% 0.70/0.89  ---------- no more Softie stats ----------
% 0.70/0.89  
% 0.70/0.89  
% 0.70/0.89  
% 0.70/0.89  =========== start of search ===========
% 0.70/0.90  
% 0.70/0.90  -------- PROOF -------- 
% 0.70/0.90  % SZS status Unsatisfiable
% 0.70/0.90  % SZS output start Refutation
% 0.70/0.90  
% 0.70/0.90  Modelling stopped after 300 given clauses and 0.00 seconds
% 0.70/0.90  
% 0.70/0.90  
% 0.70/0.90  ----> UNIT CONFLICT at   0.49 sec ----> 922 [binary,921.1,307.1] {-} $F.
% 0.70/0.90  
% 0.70/0.90  Length of proof is 27.  Level of proof is 7.
% 0.70/0.90  
% 0.70/0.90  ---------------- PROOF ----------------
% 0.70/0.90  % SZS status Unsatisfiable
% 0.70/0.90  % SZS output start Refutation
% 0.70/0.90  
% 0.70/0.90  2 [] {+} l1(A,A)| -n0(B,A).
% 0.70/0.90  3 [] {+} l1(A,B)| -p0(C,A)| -r0(D)| -m0(B,A,C).
% 0.70/0.90  7 [] {+} m1(A,B,A)| -p0(C,B)| -r0(A).
% 0.70/0.90  74 [] {+} p1(A,B,C)| -m0(C,A,D)| -p1(C,A,D).
% 0.70/0.90  77 [] {+} p1(A,A,A)| -p0(B,A).
% 0.70/0.90  83 [] {+} q1(A,B,A)| -n0(C,B)| -p0(D,A).
% 0.70/0.90  108 [] {+} r1(A)| -q0(A,B)| -s0(d)| -q1(d,B,d).
% 0.70/0.90  118 [] {+} m2(A)| -s0(A)| -l1(B,C).
% 0.70/0.90  120 [] {+} n2(A)| -p1(B,C,A).
% 0.70/0.90  129 [] {+} p2(A,B,B)| -p1(A,C,D)| -l1(C,D)| -p2(A,B,A).
% 0.70/0.90  157 [] {+} p2(A,A,A)| -l1(B,A).
% 0.70/0.90  158 [] {+} p2(A,B,A)| -m1(B,A,B).
% 0.70/0.90  168 [] {+} q2(A,A,B)| -l1(B,A).
% 0.70/0.90  170 [] {+} r2(A)| -r1(A)| -l0(A).
% 0.70/0.90  182 [] {+} k3(A,A,B)| -p1(B,C,A)| -m2(D)| -m2(C).
% 0.70/0.90  216 [] {+} m3(A,A,A)| -n2(A).
% 0.70/0.90  220 [] {+} n3(A)| -p2(B,C,A).
% 0.70/0.90  222 [] {+} p3(A,B,C)| -r2(B)| -k3(B,C,A).
% 0.70/0.90  229 [] {+} p3(A,B,B)| -m3(B,C,D)| -p2(A,B,D).
% 0.70/0.90  233 [] {+} q3(A,B)| -q2(C,A,B)| -n0(C,A).
% 0.70/0.90  252 [] {+} k4(c)| -n0(c,d)| -q3(e,b)| -n3(e).
% 0.70/0.90  257 [] {+} n4(A,B)| -p3(A,B,B)| -n4(A,A).
% 0.70/0.90  260 [] {+} n4(A,A)| -k4(B)| -m3(A,A,A).
% 0.70/0.90  307 [] {+} -n4(a,e).
% 0.70/0.90  308 [] {-} s0(d).
% 0.70/0.90  310 [] {-} n0(d,e).
% 0.70/0.90  318 [] {-} n0(e,b).
% 0.70/0.90  319 [] {-} m0(a,A,a).
% 0.70/0.90  320 [] {-} r0(e).
% 0.70/0.90  321 [] {-} p0(b,A).
% 0.70/0.90  325 [] {-} p0(c,b).
% 0.70/0.90  326 [] {-} m0(A,d,B).
% 0.70/0.90  327 [] {-} l0(a).
% 0.70/0.90  332 [] {-} m0(e,b,c).
% 0.70/0.90  335 [] {-} n0(e,e).
% 0.70/0.90  339 [] {-} n0(c,d).
% 0.70/0.90  341 [] {-} q0(a,b).
% 0.70/0.90  342 [] {-} n0(b,a).
% 0.70/0.90  360 [hyper,310,2] {-} l1(e,e).
% 0.70/0.90  385 [hyper,321,83,318] {-} q1(A,b,A).
% 0.70/0.90  387 [hyper,321,77] {-} p1(A,A,A).
% 0.70/0.90  396 [hyper,321,7,320] {-} m1(e,A,e).
% 0.70/0.90  416 [hyper,326,3,321,320] {-} l1(d,A).
% 0.70/0.90  434 [hyper,332,3,325,320] {-} l1(b,e).
% 0.70/0.90  437 [hyper,342,2] {-} l1(a,a).
% 0.70/0.90  450 [hyper,360,118,308] {-} m2(d).
% 0.70/0.90  473 [hyper,416,157] {-} p2(A,A,A).
% 0.70/0.90  475 [hyper,434,168] {-} q2(e,e,b).
% 0.70/0.90  511 [hyper,385,108,341,308] {-} r1(a).
% 0.70/0.90  514 [hyper,511,170,327] {-} r2(a).
% 0.70/0.90  524 [hyper,387,120] {-} n2(A).
% 0.70/0.90  527 [hyper,387,74,319] {-} p1(a,A,a).
% 0.70/0.90  528 [hyper,524,216] {-} m3(A,A,A).
% 0.70/0.90  537 [hyper,396,158] {-} p2(A,e,A).
% 0.70/0.90  648 [hyper,473,220] {-} n3(A).
% 0.70/0.90  666 [hyper,475,233,335] {-} q3(e,b).
% 0.70/0.90  667 [hyper,666,252,339,648] {-} k4(c).
% 0.70/0.90  729 [hyper,527,74,319] {-} p1(A,B,a).
% 0.70/0.90  730 [hyper,528,260,667] {-} n4(A,A).
% 0.70/0.90  835 [hyper,729,182,450,450] {-} k3(a,a,A).
% 0.70/0.90  838 [hyper,729,129,437,537] {-} p2(A,e,e).
% 0.70/0.90  894 [hyper,835,222,514] {-} p3(A,a,a).
% 0.70/0.90  898 [hyper,838,229,528] {-} p3(A,e,e).
% 0.70/0.90  918 [hyper,894,257,730] {-} n4(A,a).
% 0.70/0.90  921 [hyper,898,257,918] {-} n4(a,e).
% 0.70/0.90  922 [binary,921.1,307.1] {-} $F.
% 0.70/0.90  
% 0.70/0.90  % SZS output end Refutation
% 0.70/0.90  ------------ end of proof -------------
% 0.70/0.90  
% 0.70/0.90  
% 0.70/0.90  Search stopped by max_proofs option.
% 0.70/0.90  
% 0.70/0.90  
% 0.70/0.90  Search stopped by max_proofs option.
% 0.70/0.90  
% 0.70/0.90  ============ end of search ============
% 0.70/0.90  
% 0.70/0.90  That finishes the proof of the theorem.
% 0.70/0.90  
% 0.70/0.90  Process 18979 finished Mon Jul 11 20:22:53 2022
%------------------------------------------------------------------------------