TSTP Solution File: SEU124+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU124+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n010.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 06:17:15 EDT 2022

% Result   : Theorem 1.76s 1.96s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU124+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n010.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 18:34:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.76/1.96  GeoParameters:
% 1.76/1.96  
% 1.76/1.96  tptp_input =     1
% 1.76/1.96  tptp_output =    0
% 1.76/1.96  nonempty =       1
% 1.76/1.96  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/1.96  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.76/1.96  
% 1.76/1.96  
% 1.76/1.96  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/1.96  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/1.96  
% 1.76/1.96  RuleSystem INPUT:
% 1.76/1.96  
% 1.76/1.96  Initial Rules:
% 1.76/1.96  #0: input, references = 6, size of lhs = 2:
% 1.76/1.96     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #1: input, references = 4, size of lhs = 3:
% 1.76/1.96     P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #2: input, references = 5, size of lhs = 1:
% 1.76/1.96     P_set_union2-{F}(V0,V1,V3) | pppp1-{T}(V0,V1,V3)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #3: input, references = 3, size of lhs = 3:
% 1.76/1.96     P_set_union2-{F}(V0,V1,V3), pppp1-{F}(V0,V1,V2), V2 == V3 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #4: input, references = 4, size of lhs = 2:
% 1.76/1.96     pppp1-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp0-{T}(V0,V1,V3)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #5: input, references = 7, size of lhs = 2:
% 1.76/1.96     pppp1-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #6: input, references = 4, size of lhs = 3:
% 1.76/1.96     #-{F} V0, #-{F} V1, #-{F} V2 | pppp1-{T}(V0,V1,V2), pppp9-{T}(V0,V1,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #7: input, references = 4, size of lhs = 1:
% 1.76/1.96     pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V0,V1,V2,V3)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #8: input, references = 5, size of lhs = 3:
% 1.76/1.96     pppp3-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #9: input, references = 5, size of lhs = 1:
% 1.76/1.96     pppp3-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp0-{T}(V0,V1,V3)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #10: input, references = 3, size of lhs = 1:
% 1.76/1.96     pppp0-{F}(V0,V1,V2) | in-{T}(V2,V0), in-{T}(V2,V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #11: input, references = 3, size of lhs = 2:
% 1.76/1.96     #-{F} V1, in-{F}(V2,V0) | pppp0-{T}(V0,V1,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #12: input, references = 4, size of lhs = 2:
% 1.76/1.96     #-{F} V0, in-{F}(V2,V1) | pppp0-{T}(V0,V1,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #13: input, references = 3, size of lhs = 1:
% 1.76/1.96     subset-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #14: input, references = 5, size of lhs = 1:
% 1.76/1.96     pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #15: input, references = 10, size of lhs = 2:
% 1.76/1.96     pppp2-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #16: input, references = 10, size of lhs = 2:
% 1.76/1.96     #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp10-{T}(V0,V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #17: input, references = 4, size of lhs = 1:
% 1.76/1.96     pppp10-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #18: input, references = 4, size of lhs = 2:
% 1.76/1.96     pppp4-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #19: input, references = 4, size of lhs = 1:
% 1.76/1.96     pppp4-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #20: input, references = 3, size of lhs = 1:
% 1.76/1.96     P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #21: input, references = 3, size of lhs = 3:
% 1.76/1.96     P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #22: input, references = 3, size of lhs = 3:
% 1.76/1.96     P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #23: input, references = 4, size of lhs = 3:
% 1.76/1.96     P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #24: input, references = 4, size of lhs = 1:
% 1.76/1.96     P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #25: input, references = 5, size of lhs = 1:
% 1.76/1.96     pppp5-{F}(V0) | empty-{T}(V0)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #26: input, references = 3, size of lhs = 1:
% 1.76/1.96     P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #27: input, references = 3, size of lhs = 2:
% 1.76/1.96     pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #28: input, references = 3, size of lhs = 2:
% 1.76/1.96     P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #29: input, references = 4, size of lhs = 3:
% 1.76/1.96     P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #30: input, references = 4, size of lhs = 3:
% 1.76/1.96     P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #31: input, references = 7, size of lhs = 3:
% 1.76/1.96     P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #32: input, references = 4, size of lhs = 1:
% 1.76/1.96     P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #33: input, references = 5, size of lhs = 1:
% 1.76/1.96     pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #34: input, references = 5, size of lhs = 3:
% 1.76/1.96     pppp7-{F}(V0,V1), P_set_union2-{F}(V0,V1,V2), subset-{F}(V0,V2) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #35: input, references = 4, size of lhs = 4:
% 1.76/1.96     P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #36: input, references = 7, size of lhs = 2:
% 1.76/1.96     #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #37: input, references = 4, size of lhs = 0:
% 1.76/1.96     FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  number of initial rules = 38
% 1.76/1.96  
% 1.76/1.96  Simplifiers:
% 1.76/1.96  #38: unsound, references = 3, size of lhs = 3:
% 1.76/1.96     P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #39: unsound, references = 3, size of lhs = 3:
% 1.76/1.96     P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #40: unsound, references = 3, size of lhs = 3:
% 1.76/1.96     pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #41: unsound, references = 3, size of lhs = 3:
% 1.76/1.96     pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #42: unsound, references = 3, size of lhs = 3:
% 1.76/1.96     pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #43: unsound, references = 3, size of lhs = 3:
% 1.76/1.96     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #44: unsound, references = 3, size of lhs = 3:
% 1.76/1.96     pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #45: unsound, references = 3, size of lhs = 3:
% 1.76/1.96     pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #46: unsound, references = 3, size of lhs = 3:
% 1.76/1.96     pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  number of simplifiers = 9
% 1.76/1.96  
% 1.76/1.96  Learnt:
% 1.76/1.96  #48: exists( #36, #23 ), references = 1, size of lhs = 2:
% 1.76/1.96     P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #50: disj( #6, input ), references = 1, size of lhs = 3:
% 1.76/1.96     P_set_union2-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp9-{T}(V0,V1,V3)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #52: exists( #36, #29 ), references = 2, size of lhs = 2:
% 1.76/1.96     P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #58: mergings( V0 == V2; #55 ), references = 1, size of lhs = 1:
% 1.76/1.96     P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #60: mergings( V0 == V2; #56 ), references = 1, size of lhs = 2:
% 1.76/1.96     P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #62: exists( #36, #1 ), references = 3, size of lhs = 1:
% 1.76/1.96     P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #72: disj( #9, #5+#15+#0 ), references = 1, size of lhs = 3:
% 1.76/1.96     pppp2-{F}(V0,V1), pppp1-{F}(V2,V3,V0), pppp3-{F}(V2,V3,V4,V1) | in-{T}(V1,V4)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #73: disj( #9, #5+#15+#8 ), references = 1, size of lhs = 4:
% 1.76/1.96     pppp2-{F}(V0,V1), pppp1-{F}(V2,V3,V0), pppp3-{F}(V2,V3,V1,V4), pppp3-{F}(V2,V3,V5,V4) | in-{T}(V4,V5)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #74: disj( #9, #5+#15+#31 ), references = 2, size of lhs = 5:
% 1.76/1.96     P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), pppp1-{F}(V3,V4,V2), pppp3-{F}(V3,V4,V5,V6) | in-{T}(V6,V5)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #79: disj( #16, #69+#0 ), references = 1, size of lhs = 2:
% 1.76/1.96     pppp1-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V3,V3) | pppp10-{T}(V2,V3)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #80: disj( #16, #69+#31 ), references = 1, size of lhs = 4:
% 1.76/1.96     P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V3,V4), pppp3-{F}(V2,V3,V1,V5) | pppp10-{T}(V4,V5)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #86: disj( #16, #15+#31 ), references = 1, size of lhs = 3:
% 1.76/1.96     P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp10-{T}(V3,V1)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #92: disj( #16, #15+#0 ), references = 1, size of lhs = 2:
% 1.76/1.96     in-{F}(V0,V1), in-{F}(V1,V2) | pppp10-{T}(V2,V0)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #105: disj( #16, #14+#34 ), references = 2, size of lhs = 2:
% 1.76/1.96     pppp7-{F}(V0,V1), P_set_union2-{F}(V0,V1,V2) | pppp10-{T}(V0,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #117: mergings( V4 == V6; #115 ), references = 1, size of lhs = 7:
% 1.76/1.96     empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp2-{F}(V3,V2), pppp2-{F}(V4,V0), pppp9-{F}(V5,V6,V3), pppp1-{F}(V5,V6,V4) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #120: mergings( V2 == V4; #118 ), references = 1, size of lhs = 6:
% 1.76/1.96     empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp2-{F}(V3,V0), pppp1-{F}(V4,V5,V3), pppp9-{F}(V4,V5,V6) | pppp10-{T}(V6,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #136: exists( #17, #134 ), references = 2, size of lhs = 2:
% 1.76/1.96     pppp10-{F}(V0,V1), pppp1-{F}(V2,V0,V1) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #148: exists( #33, #146 ), references = 1, size of lhs = 2:
% 1.76/1.96     pppp8-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #153: disj( #9, input ), references = 1, size of lhs = 1:
% 1.76/1.96     pppp3-{F}(V0,V1,V2,V2) | pppp0-{T}(V0,V1,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #154: disj( #9, input ), references = 1, size of lhs = 3:
% 1.76/1.96     P_empty_set-{F}(V0), empty-{F}(V1), pppp3-{F}(V2,V3,V1,V4) | pppp0-{T}(V2,V3,V4)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #164: disj( #16, exists( #17, #134 ) ), references = 2, size of lhs = 1:
% 1.76/1.96     pppp1-{F}(V0,V1,V2) | pppp2-{T}(V1,V2)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #211: disj( #16, #15+#4+#8 ), references = 1, size of lhs = 4:
% 1.76/1.96     in-{F}(V0,V1), in-{F}(V0,V2), pppp3-{F}(V3,V4,V2,V0), pppp1-{F}(V3,V4,V5) | pppp10-{T}(V1,V5)
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #227: exists( #36, #225 ), references = 1, size of lhs = 1:
% 1.76/1.96     pppp7-{F}(V0,V1) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #229: exists( #33, #226 ), references = 1, size of lhs = 1:
% 1.76/1.96     pppp8-{F}(V0) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #231: exists( #32, #228 ), references = 1, size of lhs = 1:
% 1.76/1.96     P_empty_set-{F}(V0) | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  #233: exists( #37, #230 ), references = 1, size of lhs = 0:
% 1.76/1.96     FALSE | FALSE
% 1.76/1.96        (used 0 times, uses = {})
% 1.76/1.96  
% 1.76/1.96  number of learnt formulas = 26
% 1.76/1.96  
% 1.76/1.96  
% 1.76/1.96  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/1.96  
% 1.76/1.96  randbase = 1
%------------------------------------------------------------------------------