TSTP Solution File: HEN010-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : HEN010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n023.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 06:04:44 EDT 2022

% Result   : Unsatisfiable 2.35s 2.53s
% Output   : Refutation 2.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : HEN010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n023.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 21:24:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.35/2.53  GeoParameters:
% 2.35/2.53  
% 2.35/2.53  tptp_input =     1
% 2.35/2.53  tptp_output =    0
% 2.35/2.53  nonempty =       1
% 2.35/2.53  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.35/2.53  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.35/2.53  
% 2.35/2.53  
% 2.35/2.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.35/2.53  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.35/2.53  
% 2.35/2.53  RuleSystem INPUT:
% 2.35/2.53  
% 2.35/2.53  Initial Rules:
% 2.35/2.53  #0: input, references = 15, size of lhs = 2:
% 2.35/2.53     P_zero-{F}(V0), less_equal-{F}(V1,V2) | quotient-{T}(V1,V2,V0)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #1: input, references = 13, size of lhs = 2:
% 2.35/2.53     P_zero-{F}(V0), quotient-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #2: input, references = 10, size of lhs = 2:
% 2.35/2.53     P_zero-{F}(V0), quotient-{F}(V1,V3,V2) | less_equal-{T}(V2,V1)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #3: input, references = 6, size of lhs = 6:
% 2.35/2.53     P_zero-{F}(V0), quotient-{F}(V3,V4,V1), quotient-{F}(V5,V6,V2), quotient-{F}(V7,V6,V4), quotient-{F}(V8,V7,V5), quotient-{F}(V8,V6,V3) | less_equal-{T}(V1,V2)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #4: input, references = 14, size of lhs = 2:
% 2.35/2.53     P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #5: input, references = 15, size of lhs = 4:
% 2.35/2.53     P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #6: input, references = 7, size of lhs = 3:
% 2.35/2.53     P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #7: input, references = 33, size of lhs = 3:
% 2.35/2.53     P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V4) | quotient-{T}(V2,V3,V4)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #8: input, references = 8, size of lhs = 5:
% 2.35/2.53     P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V5,V4,V2), quotient-{F}(V5,V4,V3), V2 == V3 | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #9: input, references = 6, size of lhs = 4:
% 2.35/2.53     P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3) | quotient-{T}(V1,V2,V3)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #10: input, references = 7, size of lhs = 5:
% 2.35/2.53     P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_idQ_idQa-{F}(V4) | quotient-{T}(V1,V3,V4)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #11: input, references = 7, size of lhs = 6:
% 2.35/2.53     P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_idQ_idQa-{F}(V4), P_idQa_Q__idQ_idQa-{F}(V5) | quotient-{T}(V3,V4,V5)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #12: input, references = 5, size of lhs = 6:
% 2.35/2.53     P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V5), P_idQ_idQa-{F}(V4), P_idQa_Q__idQ_idQa-{F}(V5) | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #13: input, references = 4, size of lhs = 0:
% 2.35/2.53     FALSE | EXISTS V0: P_zero-{T}(V0)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #14: input, references = 4, size of lhs = 0:
% 2.35/2.53     FALSE | EXISTS V0: P_identity-{T}(V0)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #15: input, references = 13, size of lhs = 2:
% 2.35/2.53     #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #16: input, references = 4, size of lhs = 0:
% 2.35/2.53     FALSE | EXISTS V0: P_a-{T}(V0)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #17: input, references = 6, size of lhs = 0:
% 2.35/2.53     FALSE | EXISTS V0: P_idQa-{T}(V0)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #18: input, references = 7, size of lhs = 0:
% 2.35/2.53     FALSE | EXISTS V0: P_idQ_idQa-{T}(V0)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #19: input, references = 7, size of lhs = 0:
% 2.35/2.53     FALSE | EXISTS V0: P_idQa_Q__idQ_idQa-{T}(V0)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  number of initial rules = 20
% 2.35/2.53  
% 2.35/2.53  Simplifiers:
% 2.35/2.53  #20: unsound, references = 3, size of lhs = 3:
% 2.35/2.53     P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #21: unsound, references = 3, size of lhs = 3:
% 2.35/2.53     P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #22: unsound, references = 3, size of lhs = 3:
% 2.35/2.53     P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #23: unsound, references = 3, size of lhs = 3:
% 2.35/2.53     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #24: unsound, references = 3, size of lhs = 3:
% 2.35/2.53     P_idQa-{F}(V0), P_idQa-{F}(V1), V0 == V1 | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #25: unsound, references = 3, size of lhs = 3:
% 2.35/2.53     P_idQ_idQa-{F}(V0), P_idQ_idQa-{F}(V1), V0 == V1 | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #26: unsound, references = 3, size of lhs = 3:
% 2.35/2.53     P_idQa_Q__idQ_idQa-{F}(V0), P_idQa_Q__idQ_idQa-{F}(V1), V0 == V1 | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  number of simplifiers = 7
% 2.35/2.53  
% 2.35/2.53  Learnt:
% 2.35/2.53  #32: mergings( V1 == V4, V2 == V5; #29 ), references = 1, size of lhs = 4:
% 2.35/2.53     P_a-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), quotient-{F}(V2,V0,V3) | P_idQa-{T}(V3)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #37: mergings( V1 == V6, V2 == V7; #34 ), references = 2, size of lhs = 6:
% 2.35/2.53     P_a-{F}(V0), P_idQa-{F}(V1), P_idQ_idQa-{F}(V2), P_zero-{F}(V3), P_identity-{F}(V4), quotient-{F}(V1,V2,V5) | P_idQa_Q__idQ_idQa-{T}(V5)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #48: mergings( V1 == V2, V2 == V4, V4 == V6, V5 == V7, V3 == V8; #42 ), references = 1, size of lhs = 4:
% 2.35/2.53     P_idQa-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #55: mergings( V1 == V5, V2 == V6; #52 ), references = 1, size of lhs = 5:
% 2.35/2.53     P_a-{F}(V0), P_idQa-{F}(V1), P_zero-{F}(V2), P_identity-{F}(V3), quotient-{F}(V3,V1,V4) | P_idQ_idQa-{T}(V4)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #71: mergings( V3 == V4, V4 == V6, V6 == V7; #67 ), references = 11, size of lhs = 6:
% 2.35/2.53     P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V5), quotient-{F}(V6,V4,V2), quotient-{F}(V6,V3,V7) | P_divide-{T}(V7,V5,V1)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #88: mergings( V3 == V5, V4 == V6; #85 ), references = 1, size of lhs = 3:
% 2.35/2.53     P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V2,V3,V4) | P_divide-{T}(V2,V3,V4)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #110: mergings( V1 == V2, V2 == V7, V7 == V9, V9 == V10, V3 == V6, V6 == V8; #103 ), references = 1, size of lhs = 7:
% 2.35/2.53     P_a-{F}(V0), P_idQa-{F}(V1), P_identity-{F}(V2), P_zero-{F}(V3), quotient-{F}(V4,V1,V3), quotient-{F}(V2,V4,V5), quotient-{F}(V5,V1,V3) | P_idQ_idQa-{T}(V3)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #138: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V18, V18 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V19 == V9, V9 == V17; #120 ), references = 1, size of lhs = 5:
% 2.35/2.53     P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V1), quotient-{F}(V0,V0,V2), quotient-{F}(V2,V1,V1) | P_idQa-{T}(V0)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #180: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V10, V5 == V6, V6 == V8; #173 ), references = 4, size of lhs = 5:
% 2.35/2.53     P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V1), quotient-{F}(V5,V2,V4) | P_divide-{T}(V5,V3,V1)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #208: mergings( V1 == V2, V2 == V4, V4 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V16, V16 == V17, V17 == V19, V19 == V20, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V18; #190 ), references = 1, size of lhs = 7:
% 2.35/2.53     P_idQ_idQa-{F}(V0), P_zero-{F}(V0), P_idQa-{F}(V1), P_identity-{F}(V1), P_a-{F}(V2), quotient-{F}(V1,V1,V3), quotient-{F}(V3,V0,V0) | P_idQa_Q__idQ_idQa-{T}(V1)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #232: mergings( V1 == V6, V6 == V8, V8 == V10, V10 == V11, V2 == V7, V7 == V9; #225 ), references = 1, size of lhs = 8:
% 2.35/2.53     P_a-{F}(V0), P_idQa-{F}(V1), P_idQ_idQa-{F}(V2), P_identity-{F}(V3), P_zero-{F}(V4), quotient-{F}(V5,V2,V1), quotient-{F}(V5,V1,V6), quotient-{F}(V6,V2,V4) | P_idQa_Q__idQ_idQa-{T}(V1)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #279: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #271 ), references = 1, size of lhs = 5:
% 2.35/2.53     P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V2,V3,V0), quotient-{F}(V3,V3,V4), V4 == V0 | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #291: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V3 == V5, V5 == V7, V7 == V10, V10 == V12; #281 ), references = 3, size of lhs = 3:
% 2.35/2.53     P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V2,V3,V0) | P_divide-{T}(V3,V3,V0)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #323: mergings( V1 == V3, V3 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V13, V0 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11; #311 ), references = 1, size of lhs = 4:
% 2.35/2.53     P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V0,V0,V2), quotient-{F}(V2,V1,V1) | P_divide-{T}(V0,V1,V0)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #377: mergings( V3 == V5, V5 == V6, V6 == V7; #373 ), references = 2, size of lhs = 6:
% 2.35/2.53     P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V4), quotient-{F}(V5,V2,V6), quotient-{F}(V5,V3,V7), quotient-{F}(V7,V4,V6) | P_divide-{T}(V6,V3,V6)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #415: mergings( V3 == V6, V6 == V8, V8 == V9, V9 == V10, V4 == V5, V5 == V7; #408 ), references = 2, size of lhs = 9:
% 2.35/2.53     P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V5), quotient-{F}(V6,V4,V2), quotient-{F}(V7,V3,V8), quotient-{F}(V9,V7,V6), quotient-{F}(V9,V3,V10), quotient-{F}(V10,V8,V5) | P_divide-{T}(V6,V3,V5)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #442: mergings( V3 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V13, V4 == V5, V5 == V7, V7 == V8, V8 == V11; #432 ), references = 2, size of lhs = 8:
% 2.35/2.53     P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V1), quotient-{F}(V5,V6,V2), quotient-{F}(V6,V3,V7), quotient-{F}(V8,V3,V7), quotient-{F}(V8,V5,V4) | P_divide-{T}(V5,V3,V7)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #476: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13, V4 == V6, V6 == V8, V8 == V9, V9 == V11; #465 ), references = 2, size of lhs = 4:
% 2.35/2.53     P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V1,V1), quotient-{F}(V3,V3,V2) | P_divide-{T}(V3,V1,V3)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #506: mergings( V1 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V2 == V8, V8 == V11; #497 ), references = 1, size of lhs = 10:
% 2.35/2.53     P_a-{F}(V0), P_idQa-{F}(V1), P_idQ_idQa-{F}(V2), P_identity-{F}(V3), P_zero-{F}(V4), quotient-{F}(V4,V5,V4), quotient-{F}(V1,V5,V1), quotient-{F}(V2,V5,V6), quotient-{F}(V1,V5,V7), quotient-{F}(V7,V6,V1) | P_idQa_Q__idQ_idQa-{T}(V1)
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #535: mergings( V1 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V23, V2 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V3 == V13, V13 == V25, V4 == V26; #513 ), references = 1, size of lhs = 12:
% 2.35/2.53     P_zero-{F}(V0), quotient-{F}(V0,V1,V0), P_identity-{F}(V2), P_a-{F}(V3), P_idQa-{F}(V4), quotient-{F}(V4,V1,V4), quotient-{F}(V4,V1,V5), quotient-{F}(V5,V0,V4), quotient-{F}(V1,V2,V6), quotient-{F}(V6,V4,V0), quotient-{F}(V2,V1,V7), quotient-{F}(V7,V4,V0) | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #579: mergings( V1 == V2, V2 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V23, V23 == V26, V26 == V27, V27 == V29, V29 == V30, V30 == V32, V32 == V33, V33 == V34, V4 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V24, V24 == V28, V28 == V31, V31 == V35, V3 == V16, V16 == V25, V25 == V36; #545 ), references = 2, size of lhs = 7:
% 2.35/2.53     P_zero-{F}(V0), quotient-{F}(V0,V0,V0), P_identity-{F}(V1), P_a-{F}(V2), quotient-{F}(V2,V1,V0), quotient-{F}(V2,V2,V0), quotient-{F}(V0,V2,V0) | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #591: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #586 ), references = 1, size of lhs = 3:
% 2.35/2.53     P_zero-{F}(V0), quotient-{F}(V0,V0,V0), P_identity-{F}(V1) | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #595: mergings( V1 == V2, V2 == V3; #592 ), references = 1, size of lhs = 2:
% 2.35/2.53     P_zero-{F}(V0), quotient-{F}(V0,V0,V0) | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  #599: exists( #13, #597 ), references = 1, size of lhs = 0:
% 2.35/2.53     FALSE | FALSE
% 2.35/2.53        (used 0 times, uses = {})
% 2.35/2.53  
% 2.35/2.53  number of learnt formulas = 24
% 2.35/2.53  
% 2.35/2.53  
% 2.35/2.53  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.35/2.53  
% 2.35/2.53  randbase = 1
%------------------------------------------------------------------------------