TSTP Solution File: SYN098-1.002 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 06:23:43 EDT 2022

% Result   : Unsatisfiable 0.18s 0.36s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.12  % 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 : Sat Jul 23 03:23:41 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.18/0.36  GeoParameters:
% 0.18/0.36  
% 0.18/0.36  tptp_input =     1
% 0.18/0.36  tptp_output =    0
% 0.18/0.36  nonempty =       1
% 0.18/0.36  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.36  
% 0.18/0.36  
% 0.18/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  
% 0.18/0.36  RuleSystem INPUT:
% 0.18/0.36  
% 0.18/0.36  Initial Rules:
% 0.18/0.36  #0: input, references = 3, size of lhs = 2:
% 0.18/0.36     p_0-{F}(), q_0-{F}() | u_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #1: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_1-{F}() | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #2: input, references = 3, size of lhs = 2:
% 0.18/0.36     p_1-{F}(), p_2-{F}() | u_2-{T}(), p_0-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #3: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_2-{F}() | p_0-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #4: input, references = 3, size of lhs = 2:
% 0.18/0.36     q_1-{F}(), q_2-{F}() | u_3-{T}(), p_0-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #5: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_3-{F}() | p_0-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #6: input, references = 3, size of lhs = 2:
% 0.18/0.36     p_2-{F}(), p_3-{F}() | u_4-{T}(), p_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #7: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_4-{F}() | p_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #8: input, references = 3, size of lhs = 2:
% 0.18/0.36     q_2-{F}(), q_3-{F}() | u_5-{T}(), p_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #9: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_5-{F}() | p_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #10: input, references = 3, size of lhs = 2:
% 0.18/0.36     p_1-{F}(), q_2-{F}() | u_6-{T}(), q_0-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #11: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_6-{F}() | q_0-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #12: input, references = 3, size of lhs = 2:
% 0.18/0.36     q_1-{F}(), p_2-{F}() | u_7-{T}(), q_0-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #13: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_7-{F}() | q_0-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #14: input, references = 3, size of lhs = 2:
% 0.18/0.36     p_2-{F}(), q_3-{F}() | u_8-{T}(), q_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #15: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_8-{F}() | q_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #16: input, references = 3, size of lhs = 2:
% 0.18/0.36     q_2-{F}(), p_3-{F}() | u_9-{T}(), q_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #17: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_9-{F}() | q_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #18: input, references = 3, size of lhs = 1:
% 0.18/0.36     p_1-{F}() | u_10-{T}(), p_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #19: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_10-{F}() | p_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #20: input, references = 3, size of lhs = 1:
% 0.18/0.36     p_2-{F}() | u_11-{T}(), p_4-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #21: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_11-{F}() | p_4-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #22: input, references = 3, size of lhs = 1:
% 0.18/0.36     q_1-{F}() | u_12-{T}(), q_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #23: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_12-{F}() | q_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #24: input, references = 3, size of lhs = 1:
% 0.18/0.36     q_2-{F}() | u_13-{T}(), q_4-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #25: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_13-{F}() | q_4-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #26: input, references = 3, size of lhs = 0:
% 0.18/0.36     FALSE | u_14-{T}(), p_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #27: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_14-{F}() | p_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #28: input, references = 3, size of lhs = 0:
% 0.18/0.36     FALSE | u_15-{T}(), p_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #29: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_15-{F}() | p_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #30: input, references = 3, size of lhs = 0:
% 0.18/0.36     FALSE | u_16-{T}(), q_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #31: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_16-{F}() | q_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #32: input, references = 3, size of lhs = 0:
% 0.18/0.36     FALSE | u_17-{T}(), q_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #33: input, references = 3, size of lhs = 1:
% 0.18/0.36     u_17-{F}() | q_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #34: input, references = 4, size of lhs = 1:
% 0.18/0.36     sym_u_1-{F}() | sym_p_0-{T}(), sym_q_0-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #35: input, references = 4, size of lhs = 0:
% 0.18/0.36     FALSE | sym_u_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #36: input, references = 4, size of lhs = 2:
% 0.18/0.36     sym_u_2-{F}(), sym_p_0-{F}() | sym_p_1-{T}(), sym_p_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #37: input, references = 4, size of lhs = 1:
% 0.18/0.36     sym_p_0-{F}() | sym_u_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #38: input, references = 4, size of lhs = 2:
% 0.18/0.36     sym_u_3-{F}(), sym_p_0-{F}() | sym_q_1-{T}(), sym_q_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #39: input, references = 3, size of lhs = 1:
% 0.18/0.36     sym_p_0-{F}() | sym_u_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #40: input, references = 4, size of lhs = 2:
% 0.18/0.36     sym_u_4-{F}(), sym_p_1-{F}() | sym_p_2-{T}(), sym_p_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #41: input, references = 5, size of lhs = 1:
% 0.18/0.36     sym_p_1-{F}() | sym_u_4-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #42: input, references = 3, size of lhs = 2:
% 0.18/0.36     sym_u_5-{F}(), sym_p_1-{F}() | sym_q_2-{T}(), sym_q_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #43: input, references = 3, size of lhs = 1:
% 0.18/0.36     sym_p_1-{F}() | sym_u_5-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #44: input, references = 4, size of lhs = 2:
% 0.18/0.36     sym_u_6-{F}(), sym_q_0-{F}() | sym_p_1-{T}(), sym_q_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #45: input, references = 4, size of lhs = 1:
% 0.18/0.36     sym_q_0-{F}() | sym_u_6-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #46: input, references = 3, size of lhs = 2:
% 0.18/0.36     sym_u_7-{F}(), sym_q_0-{F}() | sym_q_1-{T}(), sym_p_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #47: input, references = 3, size of lhs = 1:
% 0.18/0.36     sym_q_0-{F}() | sym_u_7-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #48: input, references = 3, size of lhs = 2:
% 0.18/0.36     sym_u_8-{F}(), sym_q_1-{F}() | sym_p_2-{T}(), sym_q_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #49: input, references = 3, size of lhs = 1:
% 0.18/0.36     sym_q_1-{F}() | sym_u_8-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #50: input, references = 3, size of lhs = 2:
% 0.18/0.36     sym_u_9-{F}(), sym_q_1-{F}() | sym_q_2-{T}(), sym_p_3-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #51: input, references = 3, size of lhs = 1:
% 0.18/0.36     sym_q_1-{F}() | sym_u_9-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #52: input, references = 3, size of lhs = 2:
% 0.18/0.36     sym_u_10-{F}(), sym_p_3-{F}() | sym_p_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #53: input, references = 3, size of lhs = 1:
% 0.18/0.36     sym_p_3-{F}() | sym_u_10-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #54: input, references = 3, size of lhs = 2:
% 0.18/0.36     sym_u_11-{F}(), sym_p_4-{F}() | sym_p_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #55: input, references = 3, size of lhs = 1:
% 0.18/0.36     sym_p_4-{F}() | sym_u_11-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #56: input, references = 3, size of lhs = 2:
% 0.18/0.36     sym_u_12-{F}(), sym_q_3-{F}() | sym_q_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #57: input, references = 3, size of lhs = 1:
% 0.18/0.36     sym_q_3-{F}() | sym_u_12-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #58: input, references = 3, size of lhs = 2:
% 0.18/0.36     sym_u_13-{F}(), sym_q_4-{F}() | sym_q_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #59: input, references = 3, size of lhs = 1:
% 0.18/0.36     sym_q_4-{F}() | sym_u_13-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #60: input, references = 6, size of lhs = 2:
% 0.18/0.36     sym_u_14-{F}(), sym_p_2-{F}() | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #61: input, references = 6, size of lhs = 1:
% 0.18/0.36     sym_p_2-{F}() | sym_u_14-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #62: input, references = 4, size of lhs = 2:
% 0.18/0.36     sym_u_15-{F}(), sym_p_3-{F}() | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #63: input, references = 4, size of lhs = 1:
% 0.18/0.36     sym_p_3-{F}() | sym_u_15-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #64: input, references = 5, size of lhs = 2:
% 0.18/0.36     sym_u_16-{F}(), sym_q_2-{F}() | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #65: input, references = 5, size of lhs = 1:
% 0.18/0.36     sym_q_2-{F}() | sym_u_16-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #66: input, references = 3, size of lhs = 2:
% 0.18/0.36     sym_u_17-{F}(), sym_q_3-{F}() | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #67: input, references = 3, size of lhs = 1:
% 0.18/0.36     sym_q_3-{F}() | sym_u_17-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  number of initial rules = 68
% 0.18/0.36  
% 0.18/0.36  Simplifiers:
% 0.18/0.36  number of simplifiers = 0
% 0.18/0.36  
% 0.18/0.36  Learnt:
% 0.18/0.36  #70: disj( #36, #61+#60 ), references = 1, size of lhs = 2:
% 0.18/0.36     sym_u_2-{F}(), sym_p_0-{F}() | sym_p_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #73: disj( #38, #65+#64 ), references = 1, size of lhs = 2:
% 0.18/0.36     sym_u_3-{F}(), sym_p_0-{F}() | sym_q_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #76: disj( #40, #63+#62 ), references = 2, size of lhs = 2:
% 0.18/0.36     sym_u_4-{F}(), sym_p_1-{F}() | sym_p_2-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #83: disj( #34, #37+#69+#41+#75+#61+#60 ), references = 1, size of lhs = 1:
% 0.18/0.36     sym_u_1-{F}() | sym_q_0-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #86: disj( #44, #65+#64 ), references = 1, size of lhs = 2:
% 0.18/0.36     sym_u_6-{F}(), sym_q_0-{F}() | sym_p_1-{T}()
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  #94: #35+#82+#45+#85+#41+#76+#61+#60, references = 1, size of lhs = 0:
% 0.18/0.36     FALSE | FALSE
% 0.18/0.36        (used 0 times, uses = {})
% 0.18/0.36  
% 0.18/0.36  number of learnt formulas = 6
% 0.18/0.36  
% 0.18/0.36  
% 0.18/0.36  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  
% 0.18/0.36  randbase = 1
%------------------------------------------------------------------------------