TSTP Solution File: SEU144+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU144+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n006.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 06:17:18 EDT 2022

% Result   : Theorem 1.16s 1.36s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU144+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Jul 22 18:43:33 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 1.16/1.36  GeoParameters:
% 1.16/1.36  
% 1.16/1.36  tptp_input =     1
% 1.16/1.36  tptp_output =    0
% 1.16/1.36  nonempty =       1
% 1.16/1.36  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.36  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.16/1.36  
% 1.16/1.36  
% 1.16/1.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.36  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.36  
% 1.16/1.36  RuleSystem INPUT:
% 1.16/1.36  
% 1.16/1.36  Initial Rules:
% 1.16/1.36  #0: input, references = 8, size of lhs = 2:
% 1.16/1.36     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #1: input, references = 5, size of lhs = 1:
% 1.16/1.36     P_singleton-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #2: input, references = 3, size of lhs = 3:
% 1.16/1.36     P_singleton-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #3: input, references = 10, size of lhs = 3:
% 1.16/1.36     pppp0-{F}(V0,V1), in-{F}(V2,V1), V2 == V0 | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #4: input, references = 5, size of lhs = 1:
% 1.16/1.36     pppp0-{F}(V0,V1) | in-{T}(V0,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #5: input, references = 5, size of lhs = 2:
% 1.16/1.36     #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp6-{T}(V0,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #6: input, references = 7, size of lhs = 1:
% 1.16/1.36     pppp6-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #7: input, references = 5, size of lhs = 2:
% 1.16/1.36     pppp2-{F}(V0,V1,V0), in-{F}(V0,V1) | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #8: input, references = 9, size of lhs = 2:
% 1.16/1.36     pppp2-{F}(V0,V1,V2), V2 == V0 | in-{T}(V2,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #9: input, references = 6, size of lhs = 1:
% 1.16/1.36     subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #10: input, references = 4, size of lhs = 1:
% 1.16/1.36     pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #11: input, references = 17, size of lhs = 2:
% 1.16/1.36     pppp1-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #12: input, references = 10, size of lhs = 2:
% 1.16/1.36     #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp7-{T}(V0,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #13: input, references = 4, size of lhs = 1:
% 1.16/1.36     pppp7-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #14: input, references = 6, size of lhs = 2:
% 1.16/1.36     pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #15: input, references = 4, size of lhs = 1:
% 1.16/1.36     pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #16: input, references = 4, size of lhs = 0:
% 1.16/1.36     FALSE | EXISTS V0: pppp5-{T}(V0)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #17: input, references = 4, size of lhs = 1:
% 1.16/1.36     pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #18: input, references = 5, size of lhs = 4:
% 1.16/1.36     pppp4-{F}(V0,V1), P_singleton-{F}(V0,V2), in-{F}(V0,V1), subset-{F}(V2,V1) | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #19: input, references = 5, size of lhs = 2:
% 1.16/1.36     pppp4-{F}(V0,V1), P_singleton-{F}(V0,V2) | subset-{T}(V2,V1), in-{T}(V0,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #20: input, references = 3, size of lhs = 1:
% 1.16/1.36     #-{F} V0 | subset-{T}(V0,V0)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #21: input, references = 5, size of lhs = 1:
% 1.16/1.36     #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  number of initial rules = 22
% 1.16/1.36  
% 1.16/1.36  Simplifiers:
% 1.16/1.36  #22: unsound, references = 3, size of lhs = 3:
% 1.16/1.36     P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #23: unsound, references = 3, size of lhs = 3:
% 1.16/1.36     pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #24: unsound, references = 3, size of lhs = 3:
% 1.16/1.36     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #25: unsound, references = 3, size of lhs = 3:
% 1.16/1.36     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #26: unsound, references = 3, size of lhs = 3:
% 1.16/1.36     pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #27: unsound, references = 3, size of lhs = 3:
% 1.16/1.36     pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  number of simplifiers = 6
% 1.16/1.36  
% 1.16/1.36  Learnt:
% 1.16/1.36  #29: disj( #5, input ), references = 1, size of lhs = 3:
% 1.16/1.36     P_singleton-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp6-{T}(V0,V2)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #32: disj( #5, input ), references = 1, size of lhs = 3:
% 1.16/1.36     in-{F}(V0,V1), #-{F} V2, V0 == V2 | pppp6-{T}(V2,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #38: disj( #19, input ), references = 1, size of lhs = 2:
% 1.16/1.36     pppp4-{F}(V0,V0), P_singleton-{F}(V0,V1) | subset-{T}(V1,V0)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #39: disj( #19, input ), references = 1, size of lhs = 4:
% 1.16/1.36     pppp4-{F}(V0,V1), P_singleton-{F}(V0,V2), pppp0-{F}(V3,V1), V0 == V3 | subset-{T}(V2,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #58: exists( #21, #52 ), references = 1, size of lhs = 1:
% 1.16/1.36     pppp4-{F}(V0,V0) | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #77: disj( #12, #11+#3 ), references = 1, size of lhs = 3:
% 1.16/1.36     in-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | pppp7-{T}(V1,V3)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #86: exists( #13, #84 ), references = 2, size of lhs = 2:
% 1.16/1.36     pppp0-{F}(V0,V1), pppp7-{F}(V1,V2) | pppp3-{T}(V1,V2,V0)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #89: disj( #12, #11+#0 ), references = 1, size of lhs = 1:
% 1.16/1.36     in-{F}(V0,V1) | pppp7-{T}(V1,V0)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #119: exists( #6, #116 ), references = 1, size of lhs = 2:
% 1.16/1.36     pppp6-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp2-{T}(V0,V1,V0), pppp2-{T}(V0,V1,V2)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #147: exists( #6, #145 ), references = 1, size of lhs = 3:
% 1.16/1.36     pppp6-{F}(V0,V1), pppp1-{F}(V1,V2), pppp0-{F}(V3,V2) | pppp2-{T}(V0,V1,V0), pppp2-{T}(V0,V1,V3)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #236: disj( #12, #11+#7 ), references = 1, size of lhs = 2:
% 1.16/1.36     pppp2-{F}(V0,V1,V0), in-{F}(V0,V2) | pppp7-{T}(V2,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #288: disj( #12, #11+#0 ), references = 1, size of lhs = 2:
% 1.16/1.36     in-{F}(V0,V1), in-{F}(V1,V2) | pppp7-{T}(V2,V0)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #324: disj( #319, #8+#0 ), references = 1, size of lhs = 4:
% 1.16/1.36     pppp6-{F}(V0,V1), V1 == V0, pppp1-{F}(V1,V2), pppp0-{F}(V1,V2) | pppp2-{T}(V0,V1,V0)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #325: disj( #319, #8+#14 ), references = 1, size of lhs = 5:
% 1.16/1.36     pppp6-{F}(V0,V1), pppp1-{F}(V1,V2), pppp0-{F}(V3,V2), V3 == V0, pppp3-{F}(V4,V1,V3) | pppp2-{T}(V0,V1,V0)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #348: disj( #12, #11+#11+#0 ), references = 1, size of lhs = 3:
% 1.16/1.36     pppp1-{F}(V0,V1), in-{F}(V1,V2), in-{F}(V2,V3) | pppp7-{T}(V3,V0)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #349: disj( #12, #11+#11+#3 ), references = 1, size of lhs = 4:
% 1.16/1.36     in-{F}(V0,V1), pppp1-{F}(V2,V3), pppp0-{F}(V4,V3), V0 == V4 | pppp7-{T}(V1,V2)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #449: disj( #447, input ), references = 1, size of lhs = 4:
% 1.16/1.36     pppp6-{F}(V0,V1), in-{F}(V0,V1), pppp1-{F}(V1,V2), pppp0-{F}(V3,V2) | pppp2-{T}(V0,V1,V3)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #452: disj( #12, #448+#7 ), references = 1, size of lhs = 3:
% 1.16/1.36     pppp6-{F}(V0,V1), in-{F}(V0,V1), pppp0-{F}(V0,V2) | pppp7-{T}(V1,V2)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #464: disj( #12, #10+#18 ), references = 2, size of lhs = 3:
% 1.16/1.36     pppp4-{F}(V0,V1), in-{F}(V0,V1), P_singleton-{F}(V0,V2) | pppp7-{T}(V2,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #482: mergings( V0 == V3; #479 ), references = 1, size of lhs = 3:
% 1.16/1.36     in-{F}(V0,V1), P_singleton-{F}(V0,V1), pppp4-{F}(V0,V2) | in-{T}(V0,V2)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #483: disj( #19, #9+#11+#14 ), references = 1, size of lhs = 4:
% 1.16/1.36     pppp4-{F}(V0,V1), P_singleton-{F}(V0,V2), in-{F}(V3,V2), pppp3-{F}(V4,V1,V3) | in-{T}(V0,V1)
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #490: exists( #21, #488 ), references = 1, size of lhs = 1:
% 1.16/1.36     pppp4-{F}(V0,V1) | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #492: exists( #17, #489 ), references = 1, size of lhs = 1:
% 1.16/1.36     pppp5-{F}(V0) | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  #494: exists( #16, #491 ), references = 1, size of lhs = 0:
% 1.16/1.36     FALSE | FALSE
% 1.16/1.36        (used 0 times, uses = {})
% 1.16/1.36  
% 1.16/1.36  number of learnt formulas = 24
% 1.16/1.36  
% 1.16/1.36  
% 1.16/1.36  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.36  
% 1.16/1.36  randbase = 1
%------------------------------------------------------------------------------