↑ Up

Geo-III---2018C.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n029.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  : 300s
% DateTime : Sat Jul 23 06:07:59 EDT 2022

% Result   : Unsatisfiable 4.71s 4.91s
% Output   : Refutation 4.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 20:50:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 4.71/4.91  GeoParameters:
% 4.71/4.91  
% 4.71/4.91  tptp_input =     1
% 4.71/4.91  tptp_output =    0
% 4.71/4.91  nonempty =       1
% 4.71/4.91  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.71/4.91  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.71/4.91  
% 4.71/4.91  
% 4.71/4.91  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.71/4.91  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.71/4.91  
% 4.71/4.91  RuleSystem INPUT:
% 4.71/4.91  
% 4.71/4.91  Initial Rules:
% 4.71/4.91  #0: input, references = 4, size of lhs = 2:
% 4.71/4.91     P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #1: input, references = 4, size of lhs = 2:
% 4.71/4.91     P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #2: input, references = 4, size of lhs = 3:
% 4.71/4.91     P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #3: input, references = 4, size of lhs = 3:
% 4.71/4.91     P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #4: input, references = 4, size of lhs = 3:
% 4.71/4.91     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #5: input, references = 4, size of lhs = 3:
% 4.71/4.91     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #6: input, references = 4, size of lhs = 5:
% 4.71/4.91     P_meet-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V4), P_meet-{F}(V1,V2,V5), P_meet-{F}(V0,V5,V6), V4 == V6 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #7: input, references = 4, size of lhs = 5:
% 4.71/4.91     P_join-{F}(V0,V1,V3), P_join-{F}(V3,V2,V4), P_join-{F}(V1,V2,V5), P_join-{F}(V0,V5,V6), V4 == V6 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #8: input, references = 4, size of lhs = 9:
% 4.71/4.91     P_meet-{F}(V0,V1,V3), P_meet-{F}(V1,V2,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V0,V1,V6), P_meet-{F}(V2,V6,V7), P_join-{F}(V3,V7,V8), P_meet-{F}(V1,V8,V9), P_join-{F}(V3,V9,V10), V5 == V10 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #9: input, references = 9, size of lhs = 12:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_c-{F}(V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V0,V5,V11), P_join-{F}(V0,V1,V7), P_meet-{F}(V3,V7,V8), P_join-{F}(V4,V8,V9), P_join-{F}(V2,V9,V10), P_meet-{F}(V0,V10,V11) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #10: input, references = 18, size of lhs = 2:
% 4.71/4.91     #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #11: input, references = 13, size of lhs = 2:
% 4.71/4.91     #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #12: input, references = 4, size of lhs = 0:
% 4.71/4.91     FALSE | EXISTS V0: P_a-{T}(V0)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #13: input, references = 4, size of lhs = 0:
% 4.71/4.91     FALSE | EXISTS V0: P_b-{T}(V0)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #14: input, references = 5, size of lhs = 0:
% 4.71/4.91     FALSE | EXISTS V0: P_c-{T}(V0)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  number of initial rules = 15
% 4.71/4.91  
% 4.71/4.91  Simplifiers:
% 4.71/4.91  #15: unsound, references = 3, size of lhs = 3:
% 4.71/4.91     P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #16: unsound, references = 3, size of lhs = 3:
% 4.71/4.91     P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #17: unsound, references = 3, size of lhs = 3:
% 4.71/4.91     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #18: unsound, references = 3, size of lhs = 3:
% 4.71/4.91     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #19: unsound, references = 3, size of lhs = 3:
% 4.71/4.91     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  number of simplifiers = 5
% 4.71/4.91  
% 4.71/4.91  Learnt:
% 4.71/4.91  #21: exists( #10, #0 ), references = 2, size of lhs = 1:
% 4.71/4.91     #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #24: exists( #11, #1 ), references = 2, size of lhs = 1:
% 4.71/4.91     #-{F} V0 | P_join-{T}(V0,V0,V0)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #25: exists( #11, #3 ), references = 20, size of lhs = 1:
% 4.71/4.91     P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #27: exists( #10, #4 ), references = 28, size of lhs = 1:
% 4.71/4.91     P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #34: exists( #10, #32 ), references = 1, size of lhs = 6:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V0), P_join-{F}(V0,V1,V0), P_c-{F}(V2), P_meet-{F}(V0,V0,V3) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #36: exists( #14, #33 ), references = 1, size of lhs = 5:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V0), P_join-{F}(V0,V1,V0), P_meet-{F}(V0,V0,V2) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #39: exists( #11, #5 ), references = 24, size of lhs = 1:
% 4.71/4.91     P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #42: exists( #10, #2 ), references = 20, size of lhs = 1:
% 4.71/4.91     P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #43: exists( #10, #6 ), references = 18, size of lhs = 3:
% 4.71/4.91     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5) | P_meet-{T}(V2,V3,V5)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #57: exists( #11, #55 ), references = 1, size of lhs = 10:
% 4.71/4.91     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V0,V3), P_join-{F}(V2,V3,V4), P_meet-{F}(V0,V4,V5), P_join-{F}(V3,V0,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V0,V7,V5) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #62: mergings( V0 == V3; #60 ), references = 1, size of lhs = 5:
% 4.71/4.91     P_a-{F}(V0), P_c-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #82: exists( #10, #79 ), references = 4, size of lhs = 5:
% 4.71/4.91     P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_join-{F}(V4,V5,V0), P_meet-{F}(V3,V6,V5), P_meet-{F}(V0,V7,V6) | P_meet-{T}(V3,V0,V0)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #83: exists( #10, #76 ), references = 2, size of lhs = 8:
% 4.71/4.91     P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V1,V4,V2), P_meet-{F}(V5,V3,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V7,V8,V4), P_meet-{F}(V1,V5,V9), P_join-{F}(V2,V9,V10) | P_meet-{T}(V1,V7,V10)
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #98: mergings( V3 == V7; #96 ), references = 1, size of lhs = 10:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_c-{F}(V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V3,V0,V0), P_meet-{F}(V3,V1,V1), P_join-{F}(V2,V0,V4), P_meet-{F}(V0,V4,V0), P_meet-{F}(V5,V1,V2) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #102: exists( #10, #100 ), references = 1, size of lhs = 7:
% 4.71/4.91     P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V0), P_meet-{F}(V2,V0,V0), P_meet-{F}(V2,V1,V1) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #122: exists( #10, #120 ), references = 1, size of lhs = 12:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_c-{F}(V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V0,V5,V4), P_join-{F}(V0,V1,V6), P_meet-{F}(V6,V0,V7), P_meet-{F}(V3,V7,V4), P_meet-{F}(V3,V8,V2), P_meet-{F}(V6,V9,V8) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #131: mergings( V7 == V9; #129 ), references = 3, size of lhs = 10:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_c-{F}(V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V3,V0,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V0,V5,V4), P_meet-{F}(V3,V6,V2), P_meet-{F}(V7,V1,V6) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #141: exists( #10, #139 ), references = 1, size of lhs = 7:
% 4.71/4.91     P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V2,V0) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #157: exists( #11, #155 ), references = 4, size of lhs = 16:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V2), P_c-{F}(V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V0,V5,V6), P_join-{F}(V0,V1,V7), P_meet-{F}(V3,V7,V8), P_join-{F}(V4,V8,V9), P_meet-{F}(V10,V0,V2), P_join-{F}(V10,V0,V11), P_meet-{F}(V12,V11,V9), P_meet-{F}(V0,V12,V13), P_join-{F}(V2,V13,V6) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #165: mergings( V6 == V10, V7 == V8; #162 ), references = 2, size of lhs = 13:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V2), P_c-{F}(V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V5,V0,V2), P_join-{F}(V5,V0,V4), P_meet-{F}(V0,V3,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V0,V7,V7), P_meet-{F}(V3,V8,V6), P_meet-{F}(V4,V9,V8) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #172: mergings( V5 == V8, V6 == V7; #169 ), references = 1, size of lhs = 10:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V2), P_meet-{F}(V1,V0,V2), P_c-{F}(V3), P_meet-{F}(V3,V1,V4), P_meet-{F}(V0,V3,V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V0,V5,V5) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #181: exists( #10, #179 ), references = 1, size of lhs = 7:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V2,V1,V3), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V3), P_meet-{F}(V1,V5,V4) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #201: mergings( V5 == V8, V4 == V10, V6 == V7; #197 ), references = 1, size of lhs = 11:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V2), P_meet-{F}(V1,V0,V2), P_c-{F}(V3), P_meet-{F}(V0,V3,V4), P_join-{F}(V4,V3,V3), P_join-{F}(V2,V4,V5), P_meet-{F}(V0,V5,V5), P_meet-{F}(V6,V1,V3) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #211: mergings( V3 == V6; #209 ), references = 1, size of lhs = 8:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V2,V2), P_meet-{F}(V4,V1,V2), P_meet-{F}(V0,V5,V3), P_meet-{F}(V1,V6,V5) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #233: exists( #10, #231 ), references = 1, size of lhs = 10:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V0,V3), P_meet-{F}(V0,V3,V3), P_meet-{F}(V4,V2,V4), P_meet-{F}(V1,V4,V1), P_meet-{F}(V0,V5,V3), P_meet-{F}(V5,V1,V1) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #256: exists( #11, #250 ), references = 1, size of lhs = 10:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V2), P_c-{F}(V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V4,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V4,V6,V4) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #257: exists( #11, #251 ), references = 2, size of lhs = 12:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V2), P_c-{F}(V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V5,V0,V2), P_join-{F}(V5,V0,V4), P_meet-{F}(V0,V3,V6), P_meet-{F}(V0,V6,V6), P_meet-{F}(V3,V7,V6), P_meet-{F}(V4,V8,V7) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #258: exists( #11, #252 ), references = 1, size of lhs = 14:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V2), P_c-{F}(V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V4,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V4,V6,V7), P_meet-{F}(V8,V0,V2), P_join-{F}(V8,V0,V9), P_meet-{F}(V10,V9,V7), P_meet-{F}(V0,V10,V4) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #282: exists( #11, #280 ), references = 1, size of lhs = 9:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V2), P_meet-{F}(V1,V0,V2), P_c-{F}(V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V4,V4), P_meet-{F}(V3,V0,V4) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #289: exists( #10, #287 ), references = 1, size of lhs = 6:
% 4.71/4.91     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V3,V3), P_meet-{F}(V2,V0,V3) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #294: exists( #10, #292 ), references = 1, size of lhs = 4:
% 4.71/4.91     P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #296: exists( #14, #293 ), references = 1, size of lhs = 3:
% 4.71/4.91     P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #298: exists( #13, #295 ), references = 1, size of lhs = 2:
% 4.71/4.91     P_a-{F}(V0), P_meet-{F}(V0,V0,V0) | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  #301: exists( #12, #299 ), references = 1, size of lhs = 0:
% 4.71/4.91     FALSE | FALSE
% 4.71/4.91        (used 0 times, uses = {})
% 4.71/4.91  
% 4.71/4.91  number of learnt formulas = 34
% 4.71/4.91  
% 4.71/4.91  
% 4.71/4.91  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.71/4.91  
% 4.71/4.91  randbase = 1
%------------------------------------------------------------------------------