TSTP Solution File: SYN067+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n013.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 06:23:37 EDT 2022

% Result   : Theorem 0.18s 0.37s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n013.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 : Sat Jul 23 03:03:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.37  GeoParameters:
% 0.18/0.37  
% 0.18/0.37  tptp_input =     1
% 0.18/0.37  tptp_output =    0
% 0.18/0.37  nonempty =       1
% 0.18/0.37  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37  
% 0.18/0.37  RuleSystem INPUT:
% 0.18/0.37  
% 0.18/0.37  Initial Rules:
% 0.18/0.37  #0: input, references = 4, size of lhs = 0:
% 0.18/0.37     FALSE | pppp0-{T}(), pppp1-{T}()
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #1: input, references = 5, size of lhs = 2:
% 0.18/0.37     pppp1-{F}(), pppp0-{F}() | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #2: input, references = 4, size of lhs = 4:
% 0.18/0.37     P_a-{F}(V0), pppp1-{F}(), #-{F} V1, big_p-{F}(V0) | big_p-{T}(V1), pppp13-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #3: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp13-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #4: input, references = 4, size of lhs = 5:
% 0.18/0.37     P_a-{F}(V0), pppp1-{F}(), big_p-{F}(V0), big_p-{F}(V2), big_r-{F}(V1,V2) | EXISTS V3: pppp5-{T}(V1,V3)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #5: input, references = 4, size of lhs = 1:
% 0.18/0.37     P_a-{F}(V0) | pppp1-{T}(), pppp14-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #6: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp14-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #7: input, references = 4, size of lhs = 4:
% 0.18/0.37     pppp8-{F}(V0,V1), big_r-{F}(V0,V2), big_p-{F}(V3), big_r-{F}(V2,V3) | pppp7-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #8: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp8-{F}(V0,V1) | pppp7-{T}(V0,V1), pppp15-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #9: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp15-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #10: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp8-{F}(V0,V1) | pppp7-{T}(V0,V1), big_p-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #11: input, references = 4, size of lhs = 4:
% 0.18/0.37     pppp7-{F}(V0,V1), big_r-{F}(V0,V2), big_p-{F}(V3), big_r-{F}(V2,V3) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #12: input, references = 4, size of lhs = 2:
% 0.18/0.37     pppp7-{F}(V0,V1), big_p-{F}(V0) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #13: input, references = 5, size of lhs = 1:
% 0.18/0.37     pppp7-{F}(V0,V1) | big_p-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #14: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp6-{F}(V0,V1) | big_r-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #15: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp6-{F}(V0,V1) | big_p-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #16: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #17: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp5-{F}(V0,V1) | big_r-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #18: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp4-{F}(V0,V1) | big_r-{T}(V1,V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #19: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp4-{F}(V0,V1) | big_p-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #20: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #21: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp3-{F}(V0,V1) | big_r-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #22: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp2-{F}(V0,V1) | big_r-{T}(V1,V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #23: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp2-{F}(V0,V1) | big_p-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #24: input, references = 4, size of lhs = 4:
% 0.18/0.37     P_a-{F}(V0), pppp0-{F}(), big_p-{F}(V0), #-{F} V1 | big_p-{T}(V1), pppp16-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #25: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp16-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #26: input, references = 4, size of lhs = 5:
% 0.18/0.37     P_a-{F}(V0), pppp0-{F}(), big_p-{F}(V0), big_p-{F}(V2), big_r-{F}(V1,V2) | EXISTS V3: pppp10-{T}(V1,V3)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #27: input, references = 4, size of lhs = 1:
% 0.18/0.37     P_a-{F}(V0) | pppp0-{T}(), big_p-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #28: input, references = 4, size of lhs = 1:
% 0.18/0.37     P_a-{F}(V0) | pppp0-{T}(), pppp17-{T}()
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #29: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp17-{F}() | EXISTS V0: pppp12-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #30: input, references = 5, size of lhs = 4:
% 0.18/0.37     pppp12-{F}(V0), big_r-{F}(V0,V1), big_p-{F}(V2), big_r-{F}(V1,V2) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #31: input, references = 4, size of lhs = 2:
% 0.18/0.37     pppp12-{F}(V0), big_p-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #32: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp11-{F}(V0,V1) | big_r-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #33: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp11-{F}(V0,V1) | big_p-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #34: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V2,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #35: input, references = 5, size of lhs = 1:
% 0.18/0.37     pppp10-{F}(V0,V1) | big_r-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #36: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp9-{F}(V0,V1) | big_r-{T}(V1,V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #37: input, references = 4, size of lhs = 1:
% 0.18/0.37     pppp9-{F}(V0,V1) | big_p-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #38: input, references = 5, size of lhs = 0:
% 0.18/0.37     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  number of initial rules = 39
% 0.18/0.37  
% 0.18/0.37  Simplifiers:
% 0.18/0.37  #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #40: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #41: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #42: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #43: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #44: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #45: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #50: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #51: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #52: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #53: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #54: unsound, references = 3, size of lhs = 3:
% 0.18/0.37     pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  number of simplifiers = 16
% 0.18/0.37  
% 0.18/0.37  Learnt:
% 0.18/0.37  #61: exists( #16, #59 ), references = 2, size of lhs = 3:
% 0.18/0.37     pppp12-{F}(V0), big_r-{F}(V0,V1), pppp5-{F}(V2,V1) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #64: exists( #4, #62 ), references = 1, size of lhs = 6:
% 0.18/0.37     pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0), big_p-{F}(V1), pppp12-{F}(V2), big_r-{F}(V2,V1) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #68: exists( #31, #66 ), references = 2, size of lhs = 5:
% 0.18/0.37     pppp1-{F}(), big_p-{F}(V0), pppp12-{F}(V0), P_a-{F}(V1), big_p-{F}(V1) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #75: exists( #20, #73 ), references = 1, size of lhs = 3:
% 0.18/0.37     pppp12-{F}(V0), big_r-{F}(V0,V1), pppp3-{F}(V2,V1) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #78: exists( #3, #76 ), references = 1, size of lhs = 2:
% 0.18/0.37     pppp13-{F}(V0), pppp12-{F}(V0) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #80: disj( #2, exists( #3, #76 ) ), references = 1, size of lhs = 4:
% 0.18/0.37     pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0), pppp12-{F}(V1) | big_p-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #84: mergings( V1 == V2; #82 ), references = 1, size of lhs = 4:
% 0.18/0.37     pppp17-{F}(), pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #88: mergings( V0 == V1, V1 == V2; #85 ), references = 1, size of lhs = 3:
% 0.18/0.37     pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0) | pppp0-{T}()
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #92: mergings( V1 == V0; #90 ), references = 1, size of lhs = 2:
% 0.18/0.37     pppp1-{F}(), P_a-{F}(V0) | pppp0-{T}()
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #95: exists( #38, #93 ), references = 1, size of lhs = 1:
% 0.18/0.37     pppp1-{F}() | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #97: disj( #0, exists( #38, #93 ) ), references = 1, size of lhs = 0:
% 0.18/0.37     FALSE | pppp0-{T}()
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #100: disj( #5, exists( #38, #93 ) ), references = 1, size of lhs = 1:
% 0.18/0.37     P_a-{F}(V0) | pppp14-{T}(V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #117: exists( #34, #113 ), references = 2, size of lhs = 3:
% 0.18/0.37     pppp10-{F}(V0,V1), big_r-{F}(V2,V1), pppp8-{F}(V2,V3) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #122: exists( #26, #118 ), references = 2, size of lhs = 6:
% 0.18/0.37     pppp0-{F}(), P_a-{F}(V0), big_p-{F}(V0), big_p-{F}(V1), big_r-{F}(V2,V1), pppp8-{F}(V2,V3) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #127: exists( #9, #125 ), references = 2, size of lhs = 5:
% 0.18/0.37     pppp0-{F}(), pppp15-{F}(V0), P_a-{F}(V1), big_p-{F}(V1), pppp8-{F}(V0,V2) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #131: mergings( V1 == V3, V0 == V2; #128 ), references = 1, size of lhs = 4:
% 0.18/0.37     pppp0-{F}(), pppp15-{F}(V0), P_a-{F}(V1), pppp8-{F}(V0,V1) | pppp7-{T}(V0,V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #139: mergings( V3 == V1, V4 == V0, V1 == V2, V2 == V5; #134 ), references = 1, size of lhs = 3:
% 0.18/0.37     pppp0-{F}(), P_a-{F}(V0), pppp8-{F}(V1,V0) | pppp7-{T}(V1,V0)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #143: exists( #25, #140 ), references = 1, size of lhs = 2:
% 0.18/0.37     pppp16-{F}(V0), pppp8-{F}(V0,V1) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #145: disj( #24, exists( #25, #140 ) ), references = 1, size of lhs = 4:
% 0.18/0.37     pppp0-{F}(), P_a-{F}(V0), big_p-{F}(V0), pppp8-{F}(V1,V2) | big_p-{T}(V1)
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #150: exists( #6, #148 ), references = 1, size of lhs = 3:
% 0.18/0.37     pppp0-{F}(), pppp14-{F}(V0), P_a-{F}(V0) | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #153: exists( #38, #151 ), references = 1, size of lhs = 1:
% 0.18/0.37     pppp0-{F}() | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  #155: #96+#152, references = 1, size of lhs = 0:
% 0.18/0.37     FALSE | FALSE
% 0.18/0.37        (used 0 times, uses = {})
% 0.18/0.37  
% 0.18/0.37  number of learnt formulas = 22
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37  
% 0.18/0.37  randbase = 1
%------------------------------------------------------------------------------