TSTP Solution File: SEU406+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU406+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n018.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 06:17:59 EDT 2022

% Result   : Theorem 138.85s 139.05s
% Output   : Refutation 138.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU406+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n018.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 19:06:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 138.85/139.05  GeoParameters:
% 138.85/139.05  
% 138.85/139.05  tptp_input =     1
% 138.85/139.05  tptp_output =    0
% 138.85/139.05  nonempty =       1
% 138.85/139.05  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 138.85/139.05  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 138.85/139.05  
% 138.85/139.05  
% 138.85/139.05  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 138.85/139.05  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 138.85/139.05  
% 138.85/139.05  RuleSystem INPUT:
% 138.85/139.05  
% 138.85/139.05  Initial Rules:
% 138.85/139.05  #0: input, references = 4, size of lhs = 0:
% 138.85/139.05     FALSE | EXISTS V0: pppp6-{T}(V0)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1: input, references = 4, size of lhs = 1:
% 138.85/139.05     pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #2: input, references = 5, size of lhs = 1:
% 138.85/139.05     pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V1,V2,V0)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #3: input, references = 6, size of lhs = 3:
% 138.85/139.05     pppp4-{F}(V0,V1,V2), P_k2_xboole_0-{F}(V0,V1,V3), P_k4_xboole_0-{F}(V0,V1,V4) | EXISTS V5: pppp3-{T}(V1,V2,V3,V4,V5)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #4: input, references = 5, size of lhs = 3:
% 138.85/139.05     pppp4-{F}(V0,V1,V2), P_k2_xboole_0-{F}(V0,V1,V3), P_k4_xboole_0-{F}(V0,V1,V4) | r2_hidden-{T}(V2,V3)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #5: input, references = 6, size of lhs = 1:
% 138.85/139.05     pppp3-{F}(V0,V1,V2,V3,V4) | pppp2-{T}(V4,V0,V1,V2,V3)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #6: input, references = 3, size of lhs = 3:
% 138.85/139.05     pppp2-{F}(V0,V1,V2,V3,V4), r2_hidden-{F}(V0,V1), r2_hidden-{F}(V2,V4) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #7: input, references = 4, size of lhs = 3:
% 138.85/139.05     pppp2-{F}(V0,V1,V2,V3,V4), r2_hidden-{F}(V0,V4), r2_hidden-{F}(V2,V1) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #8: input, references = 3, size of lhs = 3:
% 138.85/139.05     pppp2-{F}(V0,V1,V2,V3,V4), r2_hidden-{F}(V0,V1), r2_hidden-{F}(V2,V1) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #9: input, references = 5, size of lhs = 3:
% 138.85/139.05     pppp2-{F}(V0,V1,V2,V3,V4), r2_hidden-{F}(V0,V4), r2_hidden-{F}(V2,V4) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #10: input, references = 6, size of lhs = 1:
% 138.85/139.05     pppp2-{F}(V0,V1,V2,V3,V4) | r2_hidden-{T}(V0,V3)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #11: input, references = 5, size of lhs = 2:
% 138.85/139.05     r2_hidden-{F}(V0,V1), r2_hidden-{F}(V1,V0) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #12: input, references = 4, size of lhs = 3:
% 138.85/139.05     P_k2_xboole_0-{F}(V0,V1,V2), P_k2_xboole_0-{F}(V1,V0,V3), V2 == V3 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #13: input, references = 6, size of lhs = 1:
% 138.85/139.05     P_k2_xboole_0-{F}(V0,V1,V3) | pppp1-{T}(V0,V3,V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #14: input, references = 3, size of lhs = 3:
% 138.85/139.05     P_k2_xboole_0-{F}(V0,V1,V3), pppp1-{F}(V0,V2,V1), V2 == V3 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #15: input, references = 6, size of lhs = 2:
% 138.85/139.05     pppp1-{F}(V0,V1,V2), r2_hidden-{F}(V3,V1) | pppp0-{T}(V0,V3,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #16: input, references = 8, size of lhs = 2:
% 138.85/139.05     pppp1-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V2) | r2_hidden-{T}(V3,V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #17: input, references = 4, size of lhs = 3:
% 138.85/139.05     #-{F} V0, #-{F} V1, #-{F} V2 | pppp1-{T}(V0,V1,V2), pppp11-{T}(V0,V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #18: input, references = 3, size of lhs = 1:
% 138.85/139.05     pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp7-{T}(V0,V1,V3,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #19: input, references = 4, size of lhs = 3:
% 138.85/139.05     pppp7-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V2,V3), r2_hidden-{F}(V2,V1) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #20: input, references = 8, size of lhs = 1:
% 138.85/139.05     pppp7-{F}(V0,V1,V2,V3) | r2_hidden-{T}(V2,V1), pppp0-{T}(V0,V2,V3)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #21: input, references = 8, size of lhs = 1:
% 138.85/139.05     pppp0-{F}(V0,V1,V2) | r2_hidden-{T}(V1,V0), r2_hidden-{T}(V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #22: input, references = 4, size of lhs = 2:
% 138.85/139.05     #-{F} V2, r2_hidden-{F}(V1,V0) | pppp0-{T}(V0,V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #23: input, references = 4, size of lhs = 2:
% 138.85/139.05     #-{F} V0, r2_hidden-{F}(V1,V2) | pppp0-{T}(V0,V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #24: input, references = 3, size of lhs = 1:
% 138.85/139.05     #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #25: input, references = 3, size of lhs = 1:
% 138.85/139.05     pppp8-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #26: input, references = 3, size of lhs = 1:
% 138.85/139.05     P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #27: input, references = 3, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k2_xboole_0-{F}(V1,V2,V3), v1_xboole_0-{F}(V3) | v1_xboole_0-{T}(V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #28: input, references = 3, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k2_xboole_0-{F}(V2,V1,V3), v1_xboole_0-{F}(V3) | v1_xboole_0-{T}(V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #29: input, references = 4, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k2_xboole_0-{F}(V1,V1,V2), V2 == V1 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #30: input, references = 4, size of lhs = 1:
% 138.85/139.05     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #31: input, references = 5, size of lhs = 1:
% 138.85/139.05     pppp9-{F}(V0) | v1_xboole_0-{T}(V0)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #32: input, references = 3, size of lhs = 1:
% 138.85/139.05     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #33: input, references = 3, size of lhs = 2:
% 138.85/139.05     pppp10-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #34: input, references = 4, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k2_xboole_0-{F}(V1,V0,V2), V2 == V1 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #35: input, references = 3, size of lhs = 2:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #36: input, references = 4, size of lhs = 2:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #37: input, references = 4, size of lhs = 5:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k4_xboole_0-{F}(V2,V1,V3), P_k2_xboole_0-{F}(V1,V3,V4), P_k2_xboole_0-{F}(V1,V2,V5), V4 == V5 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #38: input, references = 4, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k4_xboole_0-{F}(V1,V0,V2), V2 == V1 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #39: input, references = 4, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k4_xboole_0-{F}(V0,V1,V2), V2 == V0 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #40: input, references = 4, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #41: input, references = 3, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #42: input, references = 4, size of lhs = 4:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #43: input, references = 10, size of lhs = 2:
% 138.85/139.05     #-{F} V0, #-{F} V1 | EXISTS V2: P_k2_xboole_0-{T}(V0,V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #44: input, references = 9, size of lhs = 2:
% 138.85/139.05     #-{F} V0, #-{F} V1 | EXISTS V2: P_k4_xboole_0-{T}(V0,V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #45: input, references = 4, size of lhs = 0:
% 138.85/139.05     FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  number of initial rules = 46
% 138.85/139.05  
% 138.85/139.05  Simplifiers:
% 138.85/139.05  #46: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     P_k2_xboole_0-{F}(V0,V1,V2), P_k2_xboole_0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #47: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     P_k4_xboole_0-{F}(V0,V1,V2), P_k4_xboole_0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #48: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #49: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #50: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #51: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #52: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #53: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #54: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V2), V0 == V3 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #55: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V2 == V5 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #56: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #57: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #58: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #59: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #60: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #61: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #62: unsound, references = 3, size of lhs = 3:
% 138.85/139.05     pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  number of simplifiers = 17
% 138.85/139.05  
% 138.85/139.05  Learnt:
% 138.85/139.05  #64: exists( #43, #34 ), references = 1, size of lhs = 2:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), #-{F} V1 | P_k2_xboole_0-{T}(V1,V0,V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #66: exists( #43, #29 ), references = 1, size of lhs = 2:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), #-{F} V1 | P_k2_xboole_0-{T}(V1,V1,V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #68: exists( #43, #12 ), references = 6, size of lhs = 1:
% 138.85/139.05     P_k2_xboole_0-{F}(V0,V1,V2) | P_k2_xboole_0-{T}(V1,V0,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #74: mergings( V0 == V2; #71 ), references = 1, size of lhs = 1:
% 138.85/139.05     P_k1_xboole_0-{F}(V0) | pppp9-{T}(V0)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #76: mergings( V0 == V2; #72 ), references = 1, size of lhs = 2:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp9-{T}(V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #81: mergings( V0 == V3; #77 ), references = 1, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #84: mergings( V0 == V3, V2 == V3; #78 ), references = 1, size of lhs = 4:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #86: mergings( V2 == V0; #79 ), references = 1, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), pppp10-{F}(V0), m1_subset_1-{F}(V1,V0) | r2_hidden-{T}(V1,V0)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #88: exists( #44, #38 ), references = 1, size of lhs = 2:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), #-{F} V1 | P_k4_xboole_0-{T}(V1,V0,V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #92: disj( #17, input ), references = 1, size of lhs = 3:
% 138.85/139.05     P_k2_xboole_0-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp11-{T}(V0,V3,V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #94: exists( #44, #39 ), references = 1, size of lhs = 2:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), #-{F} V1 | P_k4_xboole_0-{T}(V0,V1,V0)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #100: exists( #3, #98 ), references = 1, size of lhs = 4:
% 138.85/139.05     r2_hidden-{F}(V0,V1), pppp4-{F}(V2,V3,V0), P_k2_xboole_0-{F}(V2,V3,V1), P_k4_xboole_0-{F}(V2,V3,V1) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #103: disj( #20, input ), references = 1, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), pppp7-{F}(V2,V1,V3,V4) | pppp0-{T}(V2,V3,V4)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #104: disj( #20, input ), references = 1, size of lhs = 2:
% 138.85/139.05     r2_hidden-{F}(V0,V1), pppp7-{F}(V2,V0,V1,V3) | pppp0-{T}(V2,V1,V3)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #114: disj( #20, input ), references = 1, size of lhs = 1:
% 138.85/139.05     pppp7-{F}(V0,V1,V1,V2) | pppp0-{T}(V0,V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #132: exists( #43, #37 ), references = 2, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k4_xboole_0-{F}(V1,V2,V3), P_k2_xboole_0-{F}(V2,V1,V4) | P_k2_xboole_0-{T}(V2,V3,V4)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #179: disj( #21, input ), references = 1, size of lhs = 1:
% 138.85/139.05     pppp0-{F}(V0,V0,V1) | r2_hidden-{T}(V0,V1)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #234: disj( #20, #16+#11 ), references = 1, size of lhs = 3:
% 138.85/139.05     r2_hidden-{F}(V0,V1), pppp1-{F}(V2,V0,V3), pppp7-{F}(V2,V4,V1,V3) | r2_hidden-{T}(V1,V4)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #281: disj( #20, #16+#23+#16+#19 ), references = 1, size of lhs = 4:
% 138.85/139.05     pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V2,V4), pppp7-{F}(V3,V1,V5,V4), pppp7-{F}(V3,V6,V5,V4) | r2_hidden-{T}(V5,V6)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #338: disj( #21, input ), references = 1, size of lhs = 3:
% 138.85/139.05     pppp0-{F}(V0,V1,V2), pppp7-{F}(V3,V0,V1,V4), pppp0-{F}(V3,V1,V4) | r2_hidden-{T}(V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #401: disj( #20, #16+#11 ), references = 1, size of lhs = 2:
% 138.85/139.05     pppp1-{F}(V0,V1,V2), pppp7-{F}(V0,V3,V1,V2) | r2_hidden-{T}(V1,V3)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #542: disj( #21, input ), references = 1, size of lhs = 3:
% 138.85/139.05     r2_hidden-{F}(V0,V1), pppp0-{F}(V2,V3,V1), pppp2-{F}(V3,V1,V0,V4,V5) | r2_hidden-{T}(V3,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #548: exists( #3, #546 ), references = 2, size of lhs = 5:
% 138.85/139.05     r2_hidden-{F}(V0,V1), pppp4-{F}(V2,V1,V0), P_k2_xboole_0-{F}(V2,V1,V3), P_k4_xboole_0-{F}(V2,V1,V4), pppp1-{F}(V4,V3,V1) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #553: exists( #44, #551 ), references = 1, size of lhs = 5:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), pppp4-{F}(V3,V2,V1), P_k2_xboole_0-{F}(V3,V2,V4), P_k2_xboole_0-{F}(V2,V3,V4) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #556: exists( #43, #554 ), references = 2, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), pppp4-{F}(V3,V2,V1) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1137: disj( #21, input ), references = 2, size of lhs = 3:
% 138.85/139.05     r2_hidden-{F}(V0,V1), pppp0-{F}(V2,V3,V4), pppp2-{F}(V3,V4,V0,V5,V1) | r2_hidden-{T}(V3,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1151: exists( #3, #1148 ), references = 1, size of lhs = 5:
% 138.85/139.05     r2_hidden-{F}(V0,V1), pppp4-{F}(V2,V3,V0), P_k4_xboole_0-{F}(V2,V3,V1), P_k2_xboole_0-{F}(V2,V3,V4), pppp1-{F}(V1,V4,V3) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1231: disj( #21, exists( #3, #1148 ) ), references = 1, size of lhs = 5:
% 138.85/139.05     pppp4-{F}(V0,V1,V2), P_k4_xboole_0-{F}(V0,V1,V3), pppp0-{F}(V3,V2,V4), P_k2_xboole_0-{F}(V0,V1,V5), pppp1-{F}(V3,V5,V1) | r2_hidden-{T}(V2,V4)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1232: disj( #21, input ), references = 1, size of lhs = 2:
% 138.85/139.05     pppp0-{F}(V0,V1,V2), pppp2-{F}(V1,V3,V1,V4,V0) | r2_hidden-{T}(V1,V2)
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1251: exists( #44, #1246 ), references = 3, size of lhs = 5:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), P_k2_xboole_0-{F}(V3,V4,V2), pppp4-{F}(V4,V3,V1), P_k2_xboole_0-{F}(V4,V3,V2) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1259: exists( #43, #1257 ), references = 1, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), pppp4-{F}(V1,V2,V3), pppp0-{F}(V1,V3,V2) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1262: exists( #2, #1260 ), references = 1, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), pppp5-{F}(V1,V2), r2_hidden-{F}(V1,V2) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1311: mergings( V0 == V6, V1 == V5; #1307 ), references = 1, size of lhs = 3:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k2_xboole_0-{F}(V1,V2,V2), pppp4-{F}(V1,V2,V3) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1333: mergings( V0 == V7, V1 == V6; #1330 ), references = 1, size of lhs = 4:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), P_k2_xboole_0-{F}(V1,V2,V3), P_k2_xboole_0-{F}(V2,V1,V3), pppp4-{F}(V2,V1,V4) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1336: exists( #43, #1334 ), references = 1, size of lhs = 2:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), pppp4-{F}(V1,V2,V3) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1338: exists( #2, #1335 ), references = 1, size of lhs = 2:
% 138.85/139.05     P_k1_xboole_0-{F}(V0), pppp5-{F}(V1,V2) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1340: exists( #1, #1337 ), references = 1, size of lhs = 2:
% 138.85/139.05     pppp6-{F}(V0), P_k1_xboole_0-{F}(V1) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1342: exists( #45, #1339 ), references = 1, size of lhs = 1:
% 138.85/139.05     pppp6-{F}(V0) | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  #1344: exists( #0, #1341 ), references = 1, size of lhs = 0:
% 138.85/139.05     FALSE | FALSE
% 138.85/139.05        (used 0 times, uses = {})
% 138.85/139.05  
% 138.85/139.05  number of learnt formulas = 39
% 138.85/139.05  
% 138.85/139.05  
% 138.85/139.05  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 138.85/139.05  
% 138.85/139.05  randbase = 1
%------------------------------------------------------------------------------