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

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL141-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 12:05:45 PM UTC 2026

% Result   : Unsatisfiable 6.67s 6.99s
% Output   : Refutation 6.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LCL141-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.15/0.39  % Computer : n014.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8046.5625MB
% 0.15/0.39  % OS       : Linux 6.8.0-71-generic
% 0.15/0.39  % CPULimit : 300
% 0.15/0.39  % WCLimit  : 300
% 0.15/0.39  % DateTime : Sun Sep  6 01:00:42 UTC 2026
% 0.15/0.40  % CPUTime  : 
% 6.67/6.99  GeoParameters:
% 6.67/6.99  
% 6.67/6.99  tptp_input =     1
% 6.67/6.99  tptp_output =    0
% 6.67/6.99  nonempty =       1
% 6.67/6.99  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.67/6.99  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.67/6.99  
% 6.67/6.99  
% 6.67/6.99  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.67/6.99  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.67/6.99  
% 6.67/6.99  RuleSystem INPUT:
% 6.67/6.99  
% 6.67/6.99  Initial Rules:
% 6.67/6.99  #0: input, references = 5, size of lhs = 3:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #1: input, references = 8, size of lhs = 7:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V1,V2,V4), P_implies-{F}(V2,V3,V5), P_implies-{F}(V1,V3,V6), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V7,V8), V8 == V0 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #2: input, references = 8, size of lhs = 6:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V1,V5), P_implies-{F}(V5,V1,V6), V4 == V6 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #3: input, references = 5, size of lhs = 7:
% 6.67/6.99     P_truth-{F}(V0), P_not-{F}(V1,V3), P_not-{F}(V2,V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V1,V6), P_implies-{F}(V5,V6,V7), V7 == V0 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #4: input, references = 7, size of lhs = 7:
% 6.67/6.99     P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V2,V4,V6), P_implies-{F}(V3,V1,V6) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #5: input, references = 19, size of lhs = 2:
% 6.67/6.99     #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #6: input, references = 4, size of lhs = 0:
% 6.67/6.99     FALSE | EXISTS V0: P_truth-{T}(V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #7: input, references = 14, size of lhs = 1:
% 6.67/6.99     #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #8: input, references = 4, size of lhs = 0:
% 6.67/6.99     FALSE | EXISTS V0: P_x-{T}(V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #9: input, references = 4, size of lhs = 0:
% 6.67/6.99     FALSE | EXISTS V0: P_y-{T}(V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  number of initial rules = 10
% 6.67/6.99  
% 6.67/6.99  Simplifiers:
% 6.67/6.99  #10: unsound, references = 3, size of lhs = 3:
% 6.67/6.99     P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #11: unsound, references = 3, size of lhs = 3:
% 6.67/6.99     P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #12: unsound, references = 3, size of lhs = 3:
% 6.67/6.99     P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #13: unsound, references = 3, size of lhs = 3:
% 6.67/6.99     P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #14: unsound, references = 3, size of lhs = 3:
% 6.67/6.99     P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  number of simplifiers = 5
% 6.67/6.99  
% 6.67/6.99  Learnt:
% 6.67/6.99  #17: exists( #5, #0 ), references = 22, size of lhs = 2:
% 6.67/6.99     P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #18: exists( #5, #4 ), references = 2, size of lhs = 5:
% 6.67/6.99     P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V2), P_not-{F}(V2,V1) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #22: mergings( V3 == V4; #20 ), references = 4, size of lhs = 4:
% 6.67/6.99     P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V3) | P_implies-{T}(V4,V1,V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #25: exists( #5, #1 ), references = 3, size of lhs = 5:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V5,V6,V7) | P_implies-{T}(V3,V7,V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #31: exists( #5, #2 ), references = 4, size of lhs = 4:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V1,V5) | P_implies-{T}(V5,V1,V4)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #40: mergings( V3 == V4; #37 ), references = 7, size of lhs = 4:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V4), P_implies-{F}(V1,V3,V5) | P_implies-{T}(V4,V5,V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #48: mergings( V2 == V3, V3 == V4, V4 == V5; #44 ), references = 1, size of lhs = 5:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V1), P_implies-{F}(V1,V1,V0) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #52: mergings( V3 == V4; #50 ), references = 6, size of lhs = 5:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V1,V2,V2), P_implies-{F}(V1,V3,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V3) | P_implies-{T}(V2,V3,V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #66: mergings( V3 == V4; #64 ), references = 1, size of lhs = 3:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V0) | P_implies-{T}(V1,V3,V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #81: exists( #5, #3 ), references = 7, size of lhs = 5:
% 6.67/6.99     P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V3,V1,V6) | P_implies-{T}(V5,V6,V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #92: mergings( V3 == V4, V4 == V5; #89 ), references = 2, size of lhs = 10:
% 6.67/6.99     P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V4,V2,V6), P_implies-{F}(V6,V2,V7), P_implies-{F}(V5,V4,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V0,V9,V10), V10 == V0 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #95: exists( #5, #93 ), references = 2, size of lhs = 7:
% 6.67/6.99     P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V4,V2,V6), P_implies-{F}(V6,V2,V7), P_implies-{F}(V5,V4,V8) | P_implies-{T}(V8,V7,V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #105: mergings( V2 == V3, V3 == V4, V4 == V5; #101 ), references = 2, size of lhs = 12:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V2,V3,V7), P_implies-{F}(V7,V1,V8), P_implies-{F}(V5,V8,V9), P_implies-{F}(V9,V8,V10), V10 == V6 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #116: mergings( V3 == V4, V4 == V6; #113 ), references = 5, size of lhs = 10:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V2,V3,V7), P_not-{F}(V7,V8), P_implies-{F}(V0,V8,V5) | P_implies-{T}(V7,V1,V6)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #147: mergings( V3 == V4, V4 == V5; #144 ), references = 2, size of lhs = 10:
% 6.67/6.99     P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V3,V5,V6), P_implies-{F}(V4,V1,V7), P_implies-{F}(V6,V7,V8), P_implies-{F}(V0,V8,V9), P_implies-{F}(V0,V9,V10), V10 == V0 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #150: exists( #5, #148 ), references = 6, size of lhs = 6:
% 6.67/6.99     P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V3,V5,V6), P_implies-{F}(V4,V1,V7) | P_implies-{T}(V6,V7,V0)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #169: mergings( V2 == V3, V3 == V4, V4 == V5; #165 ), references = 1, size of lhs = 16:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V6), P_implies-{F}(V4,V6,V7), P_implies-{F}(V5,V3,V8), P_not-{F}(V9,V8), P_not-{F}(V10,V7), P_implies-{F}(V10,V9,V11), P_implies-{F}(V0,V8,V12), P_implies-{F}(V11,V7,V13), P_implies-{F}(V12,V13,V14), P_implies-{F}(V14,V13,V15), P_implies-{F}(V0,V12,V16), V15 == V16 | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #178: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #172 ), references = 3, size of lhs = 20:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_implies-{F}(V0,V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V0,V5,V6), P_not-{F}(V6,V7), P_implies-{F}(V7,V8,V0), P_not-{F}(V9,V6), P_implies-{F}(V6,V10,V11), P_implies-{F}(V11,V10,V2), P_implies-{F}(V10,V6,V12), P_not-{F}(V12,V13), P_implies-{F}(V8,V13,V14), P_implies-{F}(V0,V14,V15), V3 == V15, P_implies-{F}(V4,V14,V16), P_implies-{F}(V0,V16,V14), P_not-{F}(V17,V16), P_implies-{F}(V9,V17,V12) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #186: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #181 ), references = 4, size of lhs = 14:
% 6.67/6.99     P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V3,V4), P_implies-{F}(V4,V0,V0), P_not-{F}(V5,V2), P_implies-{F}(V5,V2,V2), P_implies-{F}(V6,V2,V2), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8), P_not-{F}(V8,V9), P_implies-{F}(V9,V0,V0), P_implies-{F}(V0,V8,V10) | P_not-{T}(V2,V10)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #189: exists( #7, #187 ), references = 1, size of lhs = 13:
% 6.67/6.99     P_truth-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V3,V0,V0), P_not-{F}(V4,V2), P_implies-{F}(V5,V0,V0), P_not-{F}(V6,V5), P_implies-{F}(V0,V6,V7), P_implies-{F}(V4,V8,V8), P_implies-{F}(V9,V2,V8), P_implies-{F}(V2,V9,V10), P_implies-{F}(V10,V9,V6) | P_not-{T}(V8,V7)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #211: mergings( V0 == V5, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #204 ), references = 1, size of lhs = 19:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V0,V2,V2), P_y-{F}(V2), P_implies-{F}(V0,V3,V1), P_not-{F}(V3,V4), P_implies-{F}(V4,V0,V0), P_implies-{F}(V5,V0,V0), P_not-{F}(V6,V5), P_implies-{F}(V0,V6,V7), P_implies-{F}(V0,V7,V3), P_implies-{F}(V0,V8,V7), P_not-{F}(V8,V9), P_implies-{F}(V0,V9,V10), P_implies-{F}(V0,V10,V2), P_not-{F}(V7,V11), P_implies-{F}(V0,V11,V10) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #222: mergings( V2 == V3; #218 ), references = 1, size of lhs = 7:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_y-{F}(V3), P_implies-{F}(V2,V3,V3) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #242: mergings( V0 == V3, V2 == V3, V3 == V4; #237 ), references = 1, size of lhs = 7:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V0,V3,V0), P_implies-{F}(V0,V2,V4) | P_not-{T}(V0,V4)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #245: mergings( V0 == V3, V2 == V3; #238 ), references = 1, size of lhs = 10:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_implies-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V0,V3,V0), P_implies-{F}(V0,V2,V4), P_not-{F}(V4,V5), P_implies-{F}(V5,V0,V0), P_implies-{F}(V0,V4,V6) | P_not-{T}(V0,V6)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #275: mergings( V3 == V4, V4 == V5; #272 ), references = 2, size of lhs = 8:
% 6.67/6.99     P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V7,V8,V5), P_implies-{F}(V8,V9,V2), P_implies-{F}(V7,V9,V4) | P_implies-{T}(V2,V4,V6)
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #283: mergings( V3 == V4; #281 ), references = 2, size of lhs = 7:
% 6.67/6.99     P_truth-{F}(V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_not-{F}(V3,V4), P_implies-{F}(V1,V5,V2), P_implies-{F}(V3,V5,V4) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #289: mergings( V2 == V3; #287 ), references = 1, size of lhs = 9:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_y-{F}(V3), P_implies-{F}(V4,V3,V3), P_not-{F}(V4,V5), P_not-{F}(V5,V0), P_implies-{F}(V1,V5,V2) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #299: mergings( V0 == V2, V2 == V3, V5 == V7; #295 ), references = 1, size of lhs = 11:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V1,V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V2), P_y-{F}(V4), P_implies-{F}(V0,V4,V4), P_implies-{F}(V0,V5,V1), P_not-{F}(V5,V6), P_implies-{F}(V0,V6,V3) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #304: mergings( V2 == V3, V3 == V4; #301 ), references = 1, size of lhs = 6:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_implies-{F}(V0,V2,V2) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #309: mergings( V1 == V2, V2 == V3; #306 ), references = 2, size of lhs = 4:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #312: exists( #8, #310 ), references = 1, size of lhs = 2:
% 6.67/6.99     P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  #315: exists( #6, #313 ), references = 1, size of lhs = 0:
% 6.67/6.99     FALSE | FALSE
% 6.67/6.99        (used 0 times, uses = {})
% 6.67/6.99  
% 6.67/6.99  number of learnt formulas = 32
% 6.67/6.99  
% 6.67/6.99  
% 6.67/6.99  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.67/6.99  
% 6.67/6.99  randbase = 1
%------------------------------------------------------------------------------