TSTP Solution File: SYN102-1.007.007 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n015.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 06:23:43 EDT 2022

% Result   : Unsatisfiable 0.19s 0.38s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n015.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  : 300
% 0.13/0.33  % DateTime : Sat Jul 23 03:38:37 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.38  GeoParameters:
% 0.19/0.38  
% 0.19/0.38  tptp_input =     1
% 0.19/0.38  tptp_output =    0
% 0.19/0.38  nonempty =       1
% 0.19/0.38  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  
% 0.19/0.38  RuleSystem INPUT:
% 0.19/0.38  
% 0.19/0.38  Initial Rules:
% 0.19/0.38  #0: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_0-{F}(V0,V0,V0,V0,V0,V0,V0), q_0-{F}(V0,V0,V0,V0,V0,V0,V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #1: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_1-{F}(V1,V2,V3,V4,V5,V6,V7), p_2-{F}(V1,V2,V3,V4,V5,V6,V7) | p_0-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #2: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_1-{F}(V1,V2,V3,V4,V5,V6,V7), q_2-{F}(V1,V2,V3,V4,V5,V6,V7) | p_0-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #3: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_2-{F}(V1,V2,V3,V4,V5,V6,V7), p_3-{F}(V1,V2,V3,V4,V5,V6,V7) | p_1-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #4: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_2-{F}(V1,V2,V3,V4,V5,V6,V7), q_3-{F}(V1,V2,V3,V4,V5,V6,V7) | p_1-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #5: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_3-{F}(V1,V2,V3,V4,V5,V6,V7), p_4-{F}(V1,V2,V3,V4,V5,V6,V7) | p_2-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #6: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_3-{F}(V1,V2,V3,V4,V5,V6,V7), q_4-{F}(V1,V2,V3,V4,V5,V6,V7) | p_2-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #7: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_4-{F}(V1,V2,V3,V4,V5,V6,V7), p_5-{F}(V1,V2,V3,V4,V5,V6,V7) | p_3-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #8: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_4-{F}(V1,V2,V3,V4,V5,V6,V7), q_5-{F}(V1,V2,V3,V4,V5,V6,V7) | p_3-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #9: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_5-{F}(V1,V2,V3,V4,V5,V6,V7), p_6-{F}(V1,V2,V3,V4,V5,V6,V7) | p_4-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #10: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_5-{F}(V1,V2,V3,V4,V5,V6,V7), q_6-{F}(V1,V2,V3,V4,V5,V6,V7) | p_4-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #11: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_6-{F}(V1,V2,V3,V4,V5,V6,V7), p_7-{F}(V1,V2,V3,V4,V5,V6,V7) | p_5-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #12: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_6-{F}(V1,V2,V3,V4,V5,V6,V7), q_7-{F}(V1,V2,V3,V4,V5,V6,V7) | p_5-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #13: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_7-{F}(V1,V2,V3,V4,V5,V6,V7), p_8-{F}(V1,V2,V3,V4,V5,V6,V7) | p_6-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #14: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_7-{F}(V1,V2,V3,V4,V5,V6,V7), q_8-{F}(V1,V2,V3,V4,V5,V6,V7) | p_6-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #15: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_8-{F}(V1,V2,V3,V4,V5,V6,V7), p_9-{F}(V1,V2,V3,V4,V5,V6,V7) | p_7-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #16: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_8-{F}(V1,V2,V3,V4,V5,V6,V7), q_9-{F}(V1,V2,V3,V4,V5,V6,V7) | p_7-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #17: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_9-{F}(V1,V2,V3,V4,V5,V6,V7), p_10-{F}(V1,V2,V3,V4,V5,V6,V7) | p_8-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #18: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_9-{F}(V1,V2,V3,V4,V5,V6,V7), q_10-{F}(V1,V2,V3,V4,V5,V6,V7) | p_8-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #19: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_10-{F}(V1,V2,V3,V4,V5,V6,V7), p_11-{F}(V1,V2,V3,V4,V5,V6,V7) | p_9-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #20: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_10-{F}(V1,V2,V3,V4,V5,V6,V7), q_11-{F}(V1,V2,V3,V4,V5,V6,V7) | p_9-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #21: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_11-{F}(V1,V2,V3,V4,V5,V6,V7), p_12-{F}(V1,V2,V3,V4,V5,V6,V7) | p_10-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #22: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_11-{F}(V1,V2,V3,V4,V5,V6,V7), q_12-{F}(V1,V2,V3,V4,V5,V6,V7) | p_10-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #23: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_12-{F}(V1,V2,V3,V4,V5,V6,V7), p_13-{F}(V1,V2,V3,V4,V5,V6,V7) | p_11-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #24: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_12-{F}(V1,V2,V3,V4,V5,V6,V7), q_13-{F}(V1,V2,V3,V4,V5,V6,V7) | p_11-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #25: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_1-{F}(V1,V2,V3,V4,V5,V6,V7), q_2-{F}(V1,V2,V3,V4,V5,V6,V7) | q_0-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #26: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_1-{F}(V1,V2,V3,V4,V5,V6,V7), p_2-{F}(V1,V2,V3,V4,V5,V6,V7) | q_0-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #27: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_2-{F}(V1,V2,V3,V4,V5,V6,V7), q_3-{F}(V1,V2,V3,V4,V5,V6,V7) | q_1-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #28: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_2-{F}(V1,V2,V3,V4,V5,V6,V7), p_3-{F}(V1,V2,V3,V4,V5,V6,V7) | q_1-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #29: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_3-{F}(V1,V2,V3,V4,V5,V6,V7), q_4-{F}(V1,V2,V3,V4,V5,V6,V7) | q_2-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #30: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_3-{F}(V1,V2,V3,V4,V5,V6,V7), p_4-{F}(V1,V2,V3,V4,V5,V6,V7) | q_2-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #31: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_4-{F}(V1,V2,V3,V4,V5,V6,V7), q_5-{F}(V1,V2,V3,V4,V5,V6,V7) | q_3-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #32: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_4-{F}(V1,V2,V3,V4,V5,V6,V7), p_5-{F}(V1,V2,V3,V4,V5,V6,V7) | q_3-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #33: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_5-{F}(V1,V2,V3,V4,V5,V6,V7), q_6-{F}(V1,V2,V3,V4,V5,V6,V7) | q_4-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #34: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_5-{F}(V1,V2,V3,V4,V5,V6,V7), p_6-{F}(V1,V2,V3,V4,V5,V6,V7) | q_4-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #35: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_6-{F}(V1,V2,V3,V4,V5,V6,V7), q_7-{F}(V1,V2,V3,V4,V5,V6,V7) | q_5-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #36: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_6-{F}(V1,V2,V3,V4,V5,V6,V7), p_7-{F}(V1,V2,V3,V4,V5,V6,V7) | q_5-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #37: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_7-{F}(V1,V2,V3,V4,V5,V6,V7), q_8-{F}(V1,V2,V3,V4,V5,V6,V7) | q_6-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #38: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_7-{F}(V1,V2,V3,V4,V5,V6,V7), p_8-{F}(V1,V2,V3,V4,V5,V6,V7) | q_6-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #39: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_8-{F}(V1,V2,V3,V4,V5,V6,V7), q_9-{F}(V1,V2,V3,V4,V5,V6,V7) | q_7-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #40: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_8-{F}(V1,V2,V3,V4,V5,V6,V7), p_9-{F}(V1,V2,V3,V4,V5,V6,V7) | q_7-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #41: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_9-{F}(V1,V2,V3,V4,V5,V6,V7), q_10-{F}(V1,V2,V3,V4,V5,V6,V7) | q_8-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #42: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_9-{F}(V1,V2,V3,V4,V5,V6,V7), p_10-{F}(V1,V2,V3,V4,V5,V6,V7) | q_8-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #43: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_10-{F}(V1,V2,V3,V4,V5,V6,V7), q_11-{F}(V1,V2,V3,V4,V5,V6,V7) | q_9-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #44: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_10-{F}(V1,V2,V3,V4,V5,V6,V7), p_11-{F}(V1,V2,V3,V4,V5,V6,V7) | q_9-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #45: input, references = 4, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_11-{F}(V1,V2,V3,V4,V5,V6,V7), q_12-{F}(V1,V2,V3,V4,V5,V6,V7) | q_10-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #46: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_11-{F}(V1,V2,V3,V4,V5,V6,V7), p_12-{F}(V1,V2,V3,V4,V5,V6,V7) | q_10-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #47: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), p_12-{F}(V1,V2,V3,V4,V5,V6,V7), q_13-{F}(V1,V2,V3,V4,V5,V6,V7) | q_11-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #48: input, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), q_12-{F}(V1,V2,V3,V4,V5,V6,V7), p_13-{F}(V1,V2,V3,V4,V5,V6,V7) | q_11-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #49: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), p_6-{F}(V1,V2,V3,V4,V5,V6,V7) | p_13-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #50: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), p_7-{F}(V1,V2,V3,V4,V5,V6,V7) | p_14-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #51: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), q_6-{F}(V1,V2,V3,V4,V5,V6,V7) | q_13-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #52: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), q_7-{F}(V1,V2,V3,V4,V5,V6,V7) | q_14-{T}(V1,V2,V3,V4,V5,V6,V7)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #53: input, references = 4, size of lhs = 8:
% 0.19/0.38     P_a-{F}(V0), nq_7-{F}(V1), nq_6-{F}(V2), nq_5-{F}(V3), nq_4-{F}(V4), nq_3-{F}(V5), nq_2-{F}(V6), nq_1-{F}(V7) | p_12-{T}(V7,V6,V5,V4,V3,V2,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #54: input, references = 4, size of lhs = 8:
% 0.19/0.38     P_a-{F}(V0), nq_7-{F}(V1), nq_6-{F}(V2), nq_5-{F}(V3), nq_4-{F}(V4), nq_3-{F}(V5), nq_2-{F}(V6), nq_1-{F}(V7) | p_13-{T}(V7,V6,V5,V4,V3,V2,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #55: input, references = 4, size of lhs = 8:
% 0.19/0.38     P_a-{F}(V0), nq_7-{F}(V1), nq_6-{F}(V2), nq_5-{F}(V3), nq_4-{F}(V4), nq_3-{F}(V5), nq_2-{F}(V6), nq_1-{F}(V7) | q_12-{T}(V7,V6,V5,V4,V3,V2,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #56: input, references = 3, size of lhs = 8:
% 0.19/0.38     P_a-{F}(V0), nq_7-{F}(V1), nq_6-{F}(V2), nq_5-{F}(V3), nq_4-{F}(V4), nq_3-{F}(V5), nq_2-{F}(V6), nq_1-{F}(V7) | q_13-{T}(V7,V6,V5,V4,V3,V2,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #57: input, references = 4, size of lhs = 1:
% 0.19/0.38     P_a-{F}(V0) | nq_1-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #58: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_1-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #59: input, references = 4, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_2-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #60: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_2-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #61: input, references = 4, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_3-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #62: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_3-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #63: input, references = 4, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_4-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #64: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_4-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #65: input, references = 4, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_5-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #66: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_5-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #67: input, references = 4, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_6-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #68: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_6-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #69: input, references = 4, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_7-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #70: input, references = 3, size of lhs = 2:
% 0.19/0.38     P_a-{F}(V0), P_b-{F}(V1) | nq_7-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #71: input, references = 4, size of lhs = 0:
% 0.19/0.38     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #72: input, references = 4, size of lhs = 0:
% 0.19/0.38     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  number of initial rules = 73
% 0.19/0.38  
% 0.19/0.38  Simplifiers:
% 0.19/0.38  #73: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #74: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  number of simplifiers = 2
% 0.19/0.38  
% 0.19/0.38  Learnt:
% 0.19/0.38  #124: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22; #102 ), references = 1, size of lhs = 2:
% 0.19/0.38     nq_1-{F}(V0), P_a-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #127: exists( #71, #125 ), references = 1, size of lhs = 0:
% 0.19/0.38     FALSE | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  number of learnt formulas = 2
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  
% 0.19/0.38  randbase = 1
%------------------------------------------------------------------------------