TSTP Solution File: PUZ038-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : PUZ038-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n024.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 06:14:22 EDT 2022

% Result   : Unsatisfiable 10.26s 10.43s
% Output   : Refutation 10.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ038-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n024.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 07:07:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 10.26/10.43  GeoParameters:
% 10.26/10.43  
% 10.26/10.43  tptp_input =     1
% 10.26/10.43  tptp_output =    0
% 10.26/10.43  nonempty =       1
% 10.26/10.43  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.26/10.43  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 10.26/10.43  
% 10.26/10.43  
% 10.26/10.43  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.26/10.43  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.26/10.43  
% 10.26/10.43  RuleSystem INPUT:
% 10.26/10.43  
% 10.26/10.43  Initial Rules:
% 10.26/10.43  #0: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s1-{F}(V6,V7,V12), P_s-{F}(V7,V13), P_e1-{F}(V6,V13,V14), P_s1-{F}(V6,V13,V15), P_e1-{F}(V6,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V12,V8,V9,V10,V14,V11) | state-{T}(V0,V1,V2,V3,V4,V5,V15,V8,V9,V10,V16,V11)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #1: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s-{F}(V7,V12), P_s1-{F}(V6,V12,V13), P_e1-{F}(V6,V7,V14), P_s1-{F}(V6,V7,V15), P_e1-{F}(V6,V12,V16), state-{F}(V0,V1,V2,V3,V4,V5,V13,V8,V9,V10,V14,V11) | state-{T}(V0,V1,V2,V3,V4,V5,V15,V8,V9,V10,V16,V11)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #2: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s1-{F}(V6,V7,V12), P_s-{F}(V6,V13), P_e1-{F}(V13,V7,V14), P_s1-{F}(V13,V7,V15), P_e1-{F}(V6,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V12,V8,V9,V10,V14,V11) | state-{T}(V0,V1,V2,V3,V4,V5,V15,V8,V9,V10,V16,V11)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #3: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s-{F}(V6,V12), P_s1-{F}(V12,V7,V13), P_e1-{F}(V6,V7,V14), P_s1-{F}(V6,V7,V15), P_e1-{F}(V12,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V13,V8,V9,V10,V14,V11) | state-{T}(V0,V1,V2,V3,V4,V5,V15,V8,V9,V10,V16,V11)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #4: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s2-{F}(V6,V7,V12), P_s-{F}(V7,V13), P_e1-{F}(V6,V13,V14), P_s2-{F}(V6,V13,V15), P_e1-{F}(V6,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V12,V8,V9,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V15,V8,V9,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #5: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s-{F}(V7,V12), P_s2-{F}(V6,V12,V13), P_e1-{F}(V6,V7,V14), P_s2-{F}(V6,V7,V15), P_e1-{F}(V6,V12,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V13,V8,V9,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V15,V8,V9,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #6: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s2-{F}(V6,V7,V12), P_s-{F}(V6,V13), P_e1-{F}(V13,V7,V14), P_s2-{F}(V13,V7,V15), P_e1-{F}(V6,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V12,V8,V9,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V15,V8,V9,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #7: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s-{F}(V6,V12), P_s2-{F}(V12,V7,V13), P_e1-{F}(V6,V7,V14), P_s2-{F}(V6,V7,V15), P_e1-{F}(V12,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V13,V8,V9,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V15,V8,V9,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #8: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s3-{F}(V6,V7,V12), P_s-{F}(V7,V13), P_e1-{F}(V6,V13,V14), P_s3-{F}(V6,V13,V15), P_e1-{F}(V6,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V8,V12,V9,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V8,V15,V9,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #9: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s-{F}(V7,V12), P_s3-{F}(V6,V12,V13), P_e1-{F}(V6,V7,V14), P_s3-{F}(V6,V7,V15), P_e1-{F}(V6,V12,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V8,V13,V9,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V8,V15,V9,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #10: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s3-{F}(V6,V7,V12), P_s-{F}(V6,V13), P_e1-{F}(V13,V7,V14), P_s3-{F}(V13,V7,V15), P_e1-{F}(V6,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V8,V12,V9,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V8,V15,V9,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #11: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s-{F}(V6,V12), P_s3-{F}(V12,V7,V13), P_e1-{F}(V6,V7,V14), P_s3-{F}(V6,V7,V15), P_e1-{F}(V12,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V8,V13,V9,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V8,V15,V9,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #12: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s4-{F}(V6,V7,V12), P_s-{F}(V7,V13), P_e1-{F}(V6,V13,V14), P_s4-{F}(V6,V13,V15), P_e1-{F}(V6,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V8,V9,V12,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V8,V9,V15,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #13: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s-{F}(V7,V12), P_s4-{F}(V6,V12,V13), P_e1-{F}(V6,V7,V14), P_s4-{F}(V6,V7,V15), P_e1-{F}(V6,V12,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V8,V9,V13,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V8,V9,V15,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #14: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s4-{F}(V6,V7,V12), P_s-{F}(V6,V13), P_e1-{F}(V13,V7,V14), P_s4-{F}(V13,V7,V15), P_e1-{F}(V6,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V8,V9,V12,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V8,V9,V15,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #15: input, references = 3, size of lhs = 6:
% 10.26/10.43     P_s-{F}(V6,V12), P_s4-{F}(V12,V7,V13), P_e1-{F}(V6,V7,V14), P_s4-{F}(V6,V7,V15), P_e1-{F}(V12,V7,V16), state-{F}(V0,V1,V2,V3,V4,V5,V11,V8,V9,V13,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V8,V9,V15,V16,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #16: input, references = 3, size of lhs = 9:
% 10.26/10.43     P_v1-{F}(V5,V6,V11), P_s-{F}(V6,V12), P_e1-{F}(V5,V12,V13), P_s-{F}(V5,V14), P_e2-{F}(V14,V12,V15), P_v1-{F}(V5,V12,V16), P_e1-{F}(V5,V6,V17), P_e2-{F}(V14,V6,V18), state-{F}(V0,V11,V1,V2,V3,V4,V10,V7,V8,V9,V13,V15) | state-{T}(V0,V16,V1,V2,V3,V4,V10,V7,V8,V9,V17,V18)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #17: input, references = 3, size of lhs = 9:
% 10.26/10.43     P_s-{F}(V6,V11), P_v1-{F}(V5,V11,V12), P_e1-{F}(V5,V6,V13), P_s-{F}(V5,V14), P_e2-{F}(V14,V6,V15), P_v1-{F}(V5,V6,V16), P_e1-{F}(V5,V11,V17), P_e2-{F}(V14,V11,V18), state-{F}(V0,V12,V1,V2,V3,V4,V10,V7,V8,V9,V13,V15) | state-{T}(V0,V16,V1,V2,V3,V4,V10,V7,V8,V9,V17,V18)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #18: input, references = 3, size of lhs = 7:
% 10.26/10.43     P_v1-{F}(V5,V6,V12), P_s-{F}(V5,V13), P_s-{F}(V13,V14), P_e1-{F}(V14,V6,V15), P_v1-{F}(V13,V6,V16), P_e1-{F}(V5,V6,V17), state-{F}(V0,V12,V1,V2,V3,V4,V11,V7,V8,V9,V15,V10) | state-{T}(V0,V16,V1,V2,V3,V4,V11,V7,V8,V9,V17,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #19: input, references = 3, size of lhs = 7:
% 10.26/10.43     P_s-{F}(V5,V12), P_v1-{F}(V12,V6,V13), P_e1-{F}(V5,V6,V14), P_v1-{F}(V5,V6,V15), P_s-{F}(V12,V16), P_e1-{F}(V16,V6,V17), state-{F}(V0,V13,V1,V2,V3,V4,V11,V7,V8,V9,V14,V10) | state-{T}(V0,V15,V1,V2,V3,V4,V11,V7,V8,V9,V17,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #20: input, references = 3, size of lhs = 9:
% 10.26/10.43     P_v2-{F}(V5,V6,V11), P_s-{F}(V6,V12), P_e1-{F}(V5,V12,V13), P_s-{F}(V5,V14), P_e2-{F}(V14,V12,V15), P_v2-{F}(V5,V12,V16), P_e1-{F}(V5,V6,V17), P_e2-{F}(V14,V6,V18), state-{F}(V0,V1,V11,V2,V3,V4,V10,V7,V8,V9,V13,V15) | state-{T}(V0,V1,V16,V2,V3,V4,V10,V7,V8,V9,V17,V18)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #21: input, references = 3, size of lhs = 9:
% 10.26/10.43     P_s-{F}(V6,V11), P_v2-{F}(V5,V11,V12), P_e1-{F}(V5,V6,V13), P_s-{F}(V5,V14), P_e2-{F}(V14,V6,V15), P_v2-{F}(V5,V6,V16), P_e1-{F}(V5,V11,V17), P_e2-{F}(V14,V11,V18), state-{F}(V0,V1,V12,V2,V3,V4,V10,V7,V8,V9,V13,V15) | state-{T}(V0,V1,V16,V2,V3,V4,V10,V7,V8,V9,V17,V18)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #22: input, references = 3, size of lhs = 7:
% 10.26/10.43     P_v2-{F}(V5,V6,V12), P_s-{F}(V5,V13), P_s-{F}(V13,V14), P_e1-{F}(V14,V6,V15), P_v2-{F}(V13,V6,V16), P_e1-{F}(V5,V6,V17), state-{F}(V0,V1,V12,V2,V3,V4,V11,V7,V8,V9,V15,V10) | state-{T}(V0,V1,V16,V2,V3,V4,V11,V7,V8,V9,V17,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #23: input, references = 3, size of lhs = 7:
% 10.26/10.43     P_s-{F}(V5,V12), P_v2-{F}(V12,V6,V13), P_e1-{F}(V5,V6,V14), P_v2-{F}(V5,V6,V15), P_s-{F}(V12,V16), P_e1-{F}(V16,V6,V17), state-{F}(V0,V1,V13,V2,V3,V4,V11,V7,V8,V9,V14,V10) | state-{T}(V0,V1,V15,V2,V3,V4,V11,V7,V8,V9,V17,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #24: input, references = 3, size of lhs = 9:
% 10.26/10.43     P_v3-{F}(V5,V6,V11), P_s-{F}(V6,V12), P_e1-{F}(V5,V12,V13), P_s-{F}(V5,V14), P_e2-{F}(V14,V12,V15), P_v3-{F}(V5,V12,V16), P_e1-{F}(V5,V6,V17), P_e2-{F}(V14,V6,V18), state-{F}(V0,V1,V2,V11,V3,V4,V10,V7,V8,V9,V13,V15) | state-{T}(V0,V1,V2,V16,V3,V4,V10,V7,V8,V9,V17,V18)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #25: input, references = 3, size of lhs = 9:
% 10.26/10.43     P_s-{F}(V6,V11), P_v3-{F}(V5,V11,V12), P_e1-{F}(V5,V6,V13), P_s-{F}(V5,V14), P_e2-{F}(V14,V6,V15), P_v3-{F}(V5,V6,V16), P_e1-{F}(V5,V11,V17), P_e2-{F}(V14,V11,V18), state-{F}(V0,V1,V2,V12,V3,V4,V10,V7,V8,V9,V13,V15) | state-{T}(V0,V1,V2,V16,V3,V4,V10,V7,V8,V9,V17,V18)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #26: input, references = 4, size of lhs = 7:
% 10.26/10.43     P_v3-{F}(V5,V6,V12), P_s-{F}(V5,V13), P_s-{F}(V13,V14), P_e1-{F}(V14,V6,V15), P_v3-{F}(V13,V6,V16), P_e1-{F}(V5,V6,V17), state-{F}(V0,V1,V2,V12,V3,V4,V11,V7,V8,V9,V15,V10) | state-{T}(V0,V1,V2,V16,V3,V4,V11,V7,V8,V9,V17,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #27: input, references = 3, size of lhs = 7:
% 10.26/10.43     P_s-{F}(V5,V12), P_v3-{F}(V12,V6,V13), P_e1-{F}(V5,V6,V14), P_v3-{F}(V5,V6,V15), P_s-{F}(V12,V16), P_e1-{F}(V16,V6,V17), state-{F}(V0,V1,V2,V13,V3,V4,V11,V7,V8,V9,V14,V10) | state-{T}(V0,V1,V2,V15,V3,V4,V11,V7,V8,V9,V17,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #28: input, references = 3, size of lhs = 9:
% 10.26/10.43     P_v4-{F}(V5,V6,V11), P_s-{F}(V6,V12), P_e1-{F}(V5,V12,V13), P_s-{F}(V5,V14), P_e2-{F}(V14,V12,V15), P_v4-{F}(V5,V12,V16), P_e1-{F}(V5,V6,V17), P_e2-{F}(V14,V6,V18), state-{F}(V0,V1,V2,V3,V11,V4,V10,V7,V8,V9,V13,V15) | state-{T}(V0,V1,V2,V3,V16,V4,V10,V7,V8,V9,V17,V18)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #29: input, references = 3, size of lhs = 9:
% 10.26/10.43     P_s-{F}(V6,V11), P_v4-{F}(V5,V11,V12), P_e1-{F}(V5,V6,V13), P_s-{F}(V5,V14), P_e2-{F}(V14,V6,V15), P_v4-{F}(V5,V6,V16), P_e1-{F}(V5,V11,V17), P_e2-{F}(V14,V11,V18), state-{F}(V0,V1,V2,V3,V12,V4,V10,V7,V8,V9,V13,V15) | state-{T}(V0,V1,V2,V3,V16,V4,V10,V7,V8,V9,V17,V18)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #30: input, references = 3, size of lhs = 7:
% 10.26/10.43     P_v4-{F}(V5,V6,V12), P_s-{F}(V5,V13), P_s-{F}(V13,V14), P_e1-{F}(V14,V6,V15), P_v4-{F}(V13,V6,V16), P_e1-{F}(V5,V6,V17), state-{F}(V0,V1,V2,V3,V12,V4,V11,V7,V8,V9,V15,V10) | state-{T}(V0,V1,V2,V3,V16,V4,V11,V7,V8,V9,V17,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #31: input, references = 3, size of lhs = 7:
% 10.26/10.43     P_s-{F}(V5,V12), P_v4-{F}(V12,V6,V13), P_e1-{F}(V5,V6,V14), P_v4-{F}(V5,V6,V15), P_s-{F}(V12,V16), P_e1-{F}(V16,V6,V17), state-{F}(V0,V1,V2,V3,V13,V4,V11,V7,V8,V9,V14,V10) | state-{T}(V0,V1,V2,V3,V15,V4,V11,V7,V8,V9,V17,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #32: input, references = 3, size of lhs = 7:
% 10.26/10.43     P_h-{F}(V5,V6,V12), P_s-{F}(V6,V13), P_s-{F}(V13,V14), P_e1-{F}(V5,V14,V15), P_h-{F}(V5,V13,V16), P_e1-{F}(V5,V6,V17), state-{F}(V0,V1,V2,V3,V4,V12,V11,V7,V8,V9,V15,V10) | state-{T}(V0,V1,V2,V3,V4,V16,V11,V7,V8,V9,V17,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #33: input, references = 3, size of lhs = 7:
% 10.26/10.43     P_s-{F}(V6,V12), P_h-{F}(V5,V12,V13), P_e1-{F}(V5,V6,V14), P_h-{F}(V5,V6,V15), P_s-{F}(V12,V16), P_e1-{F}(V5,V16,V17), state-{F}(V0,V1,V2,V3,V4,V13,V11,V7,V8,V9,V14,V10) | state-{T}(V0,V1,V2,V3,V4,V15,V11,V7,V8,V9,V17,V10)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #34: input, references = 3, size of lhs = 9:
% 10.26/10.43     P_h-{F}(V5,V6,V11), P_s-{F}(V5,V12), P_e1-{F}(V12,V6,V13), P_s-{F}(V6,V14), P_e2-{F}(V12,V14,V15), P_h-{F}(V12,V6,V16), P_e1-{F}(V5,V6,V17), P_e2-{F}(V5,V14,V18), state-{F}(V0,V1,V2,V3,V4,V11,V10,V7,V8,V9,V13,V15) | state-{T}(V0,V1,V2,V3,V4,V16,V10,V7,V8,V9,V17,V18)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #35: input, references = 3, size of lhs = 9:
% 10.26/10.43     P_s-{F}(V5,V11), P_h-{F}(V11,V6,V12), P_e1-{F}(V5,V6,V13), P_s-{F}(V6,V14), P_e2-{F}(V5,V14,V15), P_h-{F}(V5,V6,V16), P_e1-{F}(V11,V6,V17), P_e2-{F}(V11,V14,V18), state-{F}(V0,V1,V2,V3,V4,V12,V10,V7,V8,V9,V13,V15) | state-{T}(V0,V1,V2,V3,V4,V16,V10,V7,V8,V9,V17,V18)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #36: input, references = 3, size of lhs = 10:
% 10.26/10.43     P_bb-{F}(V5,V6,V11), P_s-{F}(V6,V12), P_s-{F}(V12,V13), P_e1-{F}(V5,V13,V14), P_s-{F}(V5,V15), P_e2-{F}(V15,V13,V16), P_bb-{F}(V5,V12,V17), P_e1-{F}(V5,V6,V18), P_e2-{F}(V15,V6,V19), state-{F}(V11,V0,V1,V2,V3,V4,V10,V7,V8,V9,V14,V16) | state-{T}(V17,V0,V1,V2,V3,V4,V10,V7,V8,V9,V18,V19)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #37: input, references = 3, size of lhs = 10:
% 10.26/10.43     P_s-{F}(V6,V11), P_bb-{F}(V5,V11,V12), P_e1-{F}(V5,V6,V13), P_s-{F}(V5,V14), P_e2-{F}(V14,V6,V15), P_bb-{F}(V5,V6,V16), P_s-{F}(V11,V17), P_e1-{F}(V5,V17,V18), P_e2-{F}(V14,V17,V19), state-{F}(V12,V0,V1,V2,V3,V4,V10,V7,V8,V9,V13,V15) | state-{T}(V16,V0,V1,V2,V3,V4,V10,V7,V8,V9,V18,V19)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #38: input, references = 3, size of lhs = 10:
% 10.26/10.43     P_bb-{F}(V5,V6,V11), P_s-{F}(V5,V12), P_s-{F}(V12,V13), P_e1-{F}(V13,V6,V14), P_s-{F}(V6,V15), P_e2-{F}(V13,V15,V16), P_bb-{F}(V12,V6,V17), P_e1-{F}(V5,V6,V18), P_e2-{F}(V5,V15,V19), state-{F}(V11,V0,V1,V2,V3,V4,V10,V7,V8,V9,V14,V16) | state-{T}(V17,V0,V1,V2,V3,V4,V10,V7,V8,V9,V18,V19)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #39: input, references = 3, size of lhs = 10:
% 10.26/10.43     P_s-{F}(V5,V11), P_bb-{F}(V11,V6,V12), P_e1-{F}(V5,V6,V13), P_s-{F}(V6,V14), P_e2-{F}(V5,V14,V15), P_bb-{F}(V5,V6,V16), P_s-{F}(V11,V17), P_e1-{F}(V17,V6,V18), P_e2-{F}(V17,V14,V19), state-{F}(V12,V0,V1,V2,V3,V4,V10,V7,V8,V9,V13,V15) | state-{T}(V16,V0,V1,V2,V3,V4,V10,V7,V8,V9,V18,V19)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #40: input, references = 3, size of lhs = 5:
% 10.26/10.43     P_e1-{F}(V6,V7,V14), P_e2-{F}(V12,V13,V15), P_e1-{F}(V12,V13,V16), P_e2-{F}(V6,V7,V17), state-{F}(V0,V1,V2,V3,V4,V5,V11,V8,V9,V10,V14,V15) | state-{T}(V0,V1,V2,V3,V4,V5,V11,V8,V9,V10,V16,V17)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #41: input, references = 4, size of lhs = 17:
% 10.26/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_bb-{F}(V0,V1,V2), P_v1-{F}(V0,V0,V3), P_s-{F}(V1,V4), P_s-{F}(V4,V5), P_v2-{F}(V0,V5,V6), P_v3-{F}(V4,V0,V7), P_v4-{F}(V4,V5,V8), P_h-{F}(V4,V1,V9), P_s1-{F}(V5,V1,V10), P_s2-{F}(V5,V4,V11), P_s-{F}(V5,V12), P_s3-{F}(V12,V1,V13), P_s4-{F}(V12,V4,V14), P_e1-{F}(V12,V0,V15), P_e2-{F}(V12,V5,V16) | state-{T}(V2,V3,V6,V7,V8,V9,V10,V11,V13,V14,V15,V16)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #42: input, references = 4, size of lhs = 19:
% 10.26/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_bb-{F}(V0,V1,V2), P_v1-{F}(V0,V0,V3), P_s-{F}(V1,V4), P_s-{F}(V4,V5), P_v2-{F}(V0,V5,V6), P_v3-{F}(V4,V0,V7), P_v4-{F}(V4,V5,V8), P_h-{F}(V4,V1,V9), P_s1-{F}(V5,V1,V10), P_s2-{F}(V5,V4,V11), P_s-{F}(V5,V12), P_s3-{F}(V12,V1,V13), P_s4-{F}(V12,V4,V14), P_e1-{F}(V12,V0,V15), P_e2-{F}(V12,V5,V16), P_v3-{F}(V5,V0,V17), state-{F}(V18,V19,V20,V17,V21,V22,V27,V23,V24,V25,V28,V26) | FALSE
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #43: input, references = 5, size of lhs = 2:
% 10.26/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_s1-{T}(V0,V1,V2)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #44: input, references = 6, size of lhs = 2:
% 10.26/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_e1-{T}(V0,V1,V2)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #45: input, references = 7, size of lhs = 1:
% 10.26/10.43     #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #46: input, references = 5, size of lhs = 2:
% 10.26/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_s2-{T}(V0,V1,V2)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #47: input, references = 4, size of lhs = 2:
% 10.26/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_s3-{T}(V0,V1,V2)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #48: input, references = 4, size of lhs = 2:
% 10.26/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_s4-{T}(V0,V1,V2)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #49: input, references = 4, size of lhs = 2:
% 10.26/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_v1-{T}(V0,V1,V2)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #50: input, references = 4, size of lhs = 2:
% 10.26/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_e2-{T}(V0,V1,V2)
% 10.26/10.43        (used 0 times, uses = {})
% 10.26/10.43  
% 10.26/10.43  #51: input, references = 4, size of lhs = 2:
% 10.26/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_v2-{T}(V0,V1,V2)
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #52: input, references = 5, size of lhs = 2:
% 10.28/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_v3-{T}(V0,V1,V2)
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #53: input, references = 4, size of lhs = 2:
% 10.28/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_v4-{T}(V0,V1,V2)
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #54: input, references = 4, size of lhs = 2:
% 10.28/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_h-{T}(V0,V1,V2)
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #55: input, references = 4, size of lhs = 2:
% 10.28/10.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_bb-{T}(V0,V1,V2)
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #56: input, references = 4, size of lhs = 0:
% 10.28/10.43     FALSE | EXISTS V0: P_o-{T}(V0)
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  number of initial rules = 57
% 10.28/10.43  
% 10.28/10.43  Simplifiers:
% 10.28/10.43  #57: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_s1-{F}(V0,V1,V2), P_s1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #58: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_e1-{F}(V0,V1,V2), P_e1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #59: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #60: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_s2-{F}(V0,V1,V2), P_s2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #61: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_s3-{F}(V0,V1,V2), P_s3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #62: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_s4-{F}(V0,V1,V2), P_s4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #63: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_v1-{F}(V0,V1,V2), P_v1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #64: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_e2-{F}(V0,V1,V2), P_e2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #65: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_v2-{F}(V0,V1,V2), P_v2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #66: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_v3-{F}(V0,V1,V2), P_v3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #67: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_v4-{F}(V0,V1,V2), P_v4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #68: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_h-{F}(V0,V1,V2), P_h-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #69: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_bb-{F}(V0,V1,V2), P_bb-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #70: unsound, references = 3, size of lhs = 3:
% 10.28/10.43     P_o-{F}(V0), P_o-{F}(V1), V0 == V1 | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  number of simplifiers = 14
% 10.28/10.43  
% 10.28/10.43  Learnt:
% 10.28/10.43  #88: mergings( V4 == V18, V5 == V19, V10 == V24, V12 == V26, V15 == V29, V11 == V25, V13 == V27, V14 == V28, V3 == V17, V16 == V30, V6 == V20, V7 == V21, V8 == V22, V9 == V23; #73 ), references = 1, size of lhs = 23:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_v1-{F}(V0,V0,V2), P_s-{F}(V1,V3), P_s-{F}(V3,V4), P_v2-{F}(V0,V4,V5), P_v3-{F}(V3,V0,V6), P_v4-{F}(V3,V4,V7), P_h-{F}(V3,V1,V8), P_s1-{F}(V4,V1,V9), P_s2-{F}(V4,V3,V10), P_s-{F}(V4,V11), P_s3-{F}(V11,V1,V12), P_s4-{F}(V11,V3,V13), P_e1-{F}(V11,V0,V14), P_e2-{F}(V11,V4,V15), P_v3-{F}(V4,V0,V16), P_s-{F}(V17,V18), P_s-{F}(V18,V19), P_v3-{F}(V18,V20,V16), P_v3-{F}(V17,V20,V6), P_e1-{F}(V19,V20,V14), P_e1-{F}(V17,V20,V21) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #102: mergings( V5 == V17, V9 == V21, V11 == V23, V14 == V26, V10 == V22, V12 == V24, V13 == V25, V4 == V16, V15 == V27, V6 == V18, V7 == V19, V8 == V20; #89 ), references = 1, size of lhs = 22:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_v1-{F}(V0,V0,V2), P_s-{F}(V1,V3), P_s-{F}(V3,V4), P_v2-{F}(V0,V4,V5), P_v3-{F}(V3,V0,V6), P_v4-{F}(V3,V4,V7), P_s1-{F}(V4,V1,V8), P_s2-{F}(V4,V3,V9), P_s-{F}(V4,V10), P_s3-{F}(V10,V1,V11), P_s4-{F}(V10,V3,V12), P_e1-{F}(V10,V0,V13), P_e2-{F}(V10,V4,V14), P_v3-{F}(V4,V0,V15), P_s-{F}(V16,V17), P_s-{F}(V17,V18), P_v3-{F}(V17,V19,V15), P_v3-{F}(V16,V19,V6), P_e1-{F}(V18,V19,V13), P_e1-{F}(V16,V19,V20) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #114: mergings( V9 == V18, V11 == V20, V14 == V23, V10 == V19, V12 == V21, V13 == V22, V4 == V6, V15 == V24, V7 == V16, V8 == V17; #103 ), references = 1, size of lhs = 21:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_v1-{F}(V0,V0,V2), P_s-{F}(V1,V3), P_s-{F}(V3,V4), P_v2-{F}(V0,V4,V5), P_v3-{F}(V3,V0,V6), P_s1-{F}(V4,V1,V7), P_s2-{F}(V4,V3,V8), P_s-{F}(V4,V9), P_s3-{F}(V9,V1,V10), P_s4-{F}(V9,V3,V11), P_e1-{F}(V9,V0,V12), P_e2-{F}(V9,V4,V13), P_v3-{F}(V4,V0,V14), P_s-{F}(V15,V16), P_s-{F}(V16,V17), P_v3-{F}(V16,V18,V14), P_v3-{F}(V15,V18,V6), P_e1-{F}(V17,V18,V12), P_e1-{F}(V15,V18,V19) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #125: mergings( V8 == V16, V10 == V18, V13 == V21, V9 == V17, V11 == V19, V12 == V20, V3 == V5, V14 == V22, V7 == V15; #115 ), references = 1, size of lhs = 20:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_v1-{F}(V0,V0,V2), P_s-{F}(V1,V3), P_s-{F}(V3,V4), P_v3-{F}(V3,V0,V5), P_s1-{F}(V4,V1,V6), P_s2-{F}(V4,V3,V7), P_s-{F}(V4,V8), P_s3-{F}(V8,V1,V9), P_s4-{F}(V8,V3,V10), P_e1-{F}(V8,V0,V11), P_e2-{F}(V8,V4,V12), P_v3-{F}(V4,V0,V13), P_s-{F}(V14,V15), P_s-{F}(V15,V16), P_v3-{F}(V15,V17,V13), P_v3-{F}(V14,V17,V5), P_e1-{F}(V16,V17,V11), P_e1-{F}(V14,V17,V18) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #134: mergings( V9 == V15, V13 == V19, V10 == V16, V11 == V17, V12 == V18, V4 == V6, V8 == V14; #126 ), references = 1, size of lhs = 19:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_v1-{F}(V0,V0,V2), P_s-{F}(V1,V3), P_s-{F}(V3,V4), P_v3-{F}(V3,V0,V5), P_s1-{F}(V4,V1,V6), P_s2-{F}(V4,V3,V7), P_s-{F}(V4,V8), P_s3-{F}(V8,V1,V9), P_s4-{F}(V8,V3,V10), P_e1-{F}(V8,V0,V11), P_v3-{F}(V4,V0,V12), P_s-{F}(V13,V14), P_s-{F}(V14,V15), P_v3-{F}(V14,V16,V12), P_v3-{F}(V13,V16,V5), P_e1-{F}(V15,V16,V11), P_e1-{F}(V13,V16,V17) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #144: mergings( V7 == V9, V14 == V17, V6 == V19, V11 == V20, V8 == V10, V12 == V15, V13 == V16, V3 == V5; #135 ), references = 1, size of lhs = 13:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_v1-{F}(V0,V0,V2), P_s-{F}(V1,V3), P_s-{F}(V3,V4), P_s1-{F}(V4,V1,V5), P_s2-{F}(V4,V3,V6), P_v3-{F}(V4,V0,V7), P_s-{F}(V4,V8), P_s3-{F}(V8,V1,V9), P_s4-{F}(V8,V3,V10), P_e1-{F}(V8,V0,V11), P_e1-{F}(V3,V0,V12) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #153: mergings( V7 == V9, V14 == V17, V11 == V18, V8 == V10, V12 == V15, V13 == V16, V3 == V5; #145 ), references = 1, size of lhs = 12:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_v1-{F}(V0,V0,V2), P_s-{F}(V1,V3), P_s-{F}(V3,V4), P_s1-{F}(V4,V1,V5), P_s2-{F}(V4,V3,V6), P_s-{F}(V4,V7), P_s3-{F}(V7,V1,V8), P_s4-{F}(V7,V3,V9), P_e1-{F}(V7,V0,V10), P_e1-{F}(V3,V0,V11) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #161: mergings( V8 == V10, V13 == V15, V0 == V16, V9 == V11, V12 == V14, V4 == V5; #154 ), references = 1, size of lhs = 11:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_v1-{F}(V0,V0,V2), P_s-{F}(V1,V3), P_s-{F}(V3,V4), P_s1-{F}(V4,V1,V5), P_s2-{F}(V4,V3,V6), P_s-{F}(V4,V7), P_s4-{F}(V7,V3,V8), P_e1-{F}(V7,V0,V9), P_e1-{F}(V3,V0,V10) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #168: mergings( V5 == V7, V11 == V13, V9 == V14, V6 == V8, V10 == V12; #162 ), references = 1, size of lhs = 10:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s1-{F}(V3,V1,V4), P_s2-{F}(V3,V2,V5), P_s-{F}(V3,V6), P_s4-{F}(V6,V2,V7), P_e1-{F}(V6,V0,V8), P_e1-{F}(V2,V0,V9) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #174: mergings( V6 == V8, V10 == V11, V0 == V12, V7 == V9; #169 ), references = 2, size of lhs = 9:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s1-{F}(V3,V1,V4), P_s2-{F}(V3,V2,V5), P_s-{F}(V3,V6), P_e1-{F}(V6,V0,V7), P_e1-{F}(V2,V0,V8) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #178: mergings( V5 == V7, V6 == V8; #175 ), references = 1, size of lhs = 7:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s-{F}(V3,V2), P_s1-{F}(V3,V1,V4), P_s2-{F}(V3,V2,V5) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #181: mergings( V5 == V6; #179 ), references = 2, size of lhs = 6:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s-{F}(V3,V2), P_s1-{F}(V3,V1,V4) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #183: exists( #44, #174 ), references = 1, size of lhs = 8:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s1-{F}(V3,V1,V4), P_s2-{F}(V3,V2,V5), P_s-{F}(V3,V6), P_e1-{F}(V2,V0,V7) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #185: exists( #43, #182 ), references = 2, size of lhs = 7:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s2-{F}(V3,V2,V4), P_s-{F}(V3,V5), P_e1-{F}(V2,V0,V6) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #187: exists( #43, #181 ), references = 1, size of lhs = 5:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s-{F}(V3,V2) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #191: exists( #44, #185 ), references = 1, size of lhs = 6:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s2-{F}(V3,V2,V4), P_s-{F}(V3,V5) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #195: exists( #46, #188 ), references = 2, size of lhs = 5:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #197: exists( #45, #195 ), references = 1, size of lhs = 4:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #199: exists( #45, #196 ), references = 1, size of lhs = 3:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1), P_s-{F}(V1,V2) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #201: exists( #45, #198 ), references = 1, size of lhs = 2:
% 10.28/10.43     P_o-{F}(V0), P_s-{F}(V0,V1) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #203: exists( #45, #200 ), references = 1, size of lhs = 1:
% 10.28/10.43     P_o-{F}(V0) | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  #205: exists( #56, #202 ), references = 1, size of lhs = 0:
% 10.28/10.43     FALSE | FALSE
% 10.28/10.43        (used 0 times, uses = {})
% 10.28/10.43  
% 10.28/10.43  number of learnt formulas = 22
% 10.28/10.43  
% 10.28/10.43  
% 10.28/10.43  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.28/10.43  
% 10.28/10.43  randbase = 1
%------------------------------------------------------------------------------