TSTP Solution File: LCL893+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% 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 06:10:17 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% 0.04/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33  % Computer : n010.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Fri Jul 22 21:43:41 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.55  GeoParameters:
% 0.20/0.55  
% 0.20/0.55  tptp_input =     1
% 0.20/0.55  tptp_output =    0
% 0.20/0.55  nonempty =       1
% 0.20/0.55  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55  
% 0.20/0.55  RuleSystem INPUT:
% 0.20/0.55  
% 0.20/0.55  Initial Rules:
% 0.20/0.55  #0: input, references = 3, size of lhs = 5:
% 0.20/0.55     P_+-{F}(V0,V1,V3), P_+-{F}(V3,V2,V4), P_+-{F}(V1,V2,V5), P_+-{F}(V0,V5,V6), V4 == V6 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #1: input, references = 4, size of lhs = 3:
% 0.20/0.55     P_+-{F}(V0,V1,V2), P_+-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #2: input, references = 4, size of lhs = 3:
% 0.20/0.55     P_0-{F}(V0), P_+-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #3: input, references = 4, size of lhs = 4:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), P_+-{F}(V2,V1,V3), V3 == V1 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #4: input, references = 4, size of lhs = 3:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), #-{F} V2 | >=-{T}(V2,V2)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #5: input, references = 3, size of lhs = 4:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), >=-{F}(V2,V3), >=-{F}(V4,V2) | >=-{T}(V4,V3)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #6: input, references = 4, size of lhs = 5:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), >=-{F}(V2,V3), >=-{F}(V3,V2), V2 == V3 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #7: input, references = 4, size of lhs = 5:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), P_+-{F}(V2,V3,V5), P_==>-{F}(V2,V4,V6), >=-{F}(V5,V4) | >=-{T}(V3,V6)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #8: input, references = 3, size of lhs = 5:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), P_+-{F}(V2,V3,V5), P_==>-{F}(V2,V4,V6), >=-{F}(V3,V6) | >=-{T}(V5,V4)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #9: input, references = 5, size of lhs = 3:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), #-{F} V2 | >=-{T}(V2,V0)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #10: input, references = 3, size of lhs = 5:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), >=-{F}(V2,V3), P_+-{F}(V2,V4,V5), P_+-{F}(V3,V4,V6) | >=-{T}(V5,V6)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #11: input, references = 3, size of lhs = 5:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), >=-{F}(V2,V3), P_==>-{F}(V3,V4,V5), P_==>-{F}(V2,V4,V6) | >=-{T}(V5,V6)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #12: input, references = 3, size of lhs = 5:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), >=-{F}(V2,V3), P_==>-{F}(V4,V2,V5), P_==>-{F}(V4,V3,V6) | >=-{T}(V5,V6)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #13: input, references = 5, size of lhs = 7:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), P_==>-{F}(V2,V3,V4), P_+-{F}(V2,V4,V5), P_==>-{F}(V3,V2,V6), P_+-{F}(V3,V6,V7), V5 == V7 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #14: input, references = 6, size of lhs = 5:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), P_h-{F}(V2,V3), P_==>-{F}(V3,V2,V4), V3 == V4 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #15: input, references = 4, size of lhs = 2:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1) | EXISTS V2: pppp0-{T}(V2,V0)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #16: input, references = 4, size of lhs = 2:
% 0.20/0.55     pppp0-{F}(V1,V1), P_h-{F}(V1,V2) | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #17: input, references = 4, size of lhs = 3:
% 0.20/0.55     pppp0-{F}(V0,V1), P_h-{F}(V0,V2), V2 == V0 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #18: input, references = 7, size of lhs = 2:
% 0.20/0.55     #-{F} V0, #-{F} V1 | EXISTS V2: P_+-{T}(V0,V1,V2)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #19: input, references = 4, size of lhs = 0:
% 0.20/0.55     FALSE | EXISTS V0: P_0-{T}(V0)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #20: input, references = 4, size of lhs = 0:
% 0.20/0.55     FALSE | EXISTS V0: P_1-{T}(V0)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #21: input, references = 6, size of lhs = 2:
% 0.20/0.55     #-{F} V0, #-{F} V1 | EXISTS V2: P_==>-{T}(V0,V1,V2)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #22: input, references = 5, size of lhs = 1:
% 0.20/0.55     #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  number of initial rules = 23
% 0.20/0.55  
% 0.20/0.55  Simplifiers:
% 0.20/0.55  #23: unsound, references = 3, size of lhs = 3:
% 0.20/0.55     P_+-{F}(V0,V1,V2), P_+-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #24: unsound, references = 3, size of lhs = 3:
% 0.20/0.55     P_0-{F}(V0), P_0-{F}(V1), V0 == V1 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #25: unsound, references = 3, size of lhs = 3:
% 0.20/0.55     P_1-{F}(V0), P_1-{F}(V1), V0 == V1 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #26: unsound, references = 3, size of lhs = 3:
% 0.20/0.55     P_==>-{F}(V0,V1,V2), P_==>-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #27: unsound, references = 3, size of lhs = 3:
% 0.20/0.55     P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #28: unsound, references = 3, size of lhs = 3:
% 0.20/0.55     pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #29: unsound, references = 3, size of lhs = 3:
% 0.20/0.55     pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V1 == V3 | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  number of simplifiers = 7
% 0.20/0.55  
% 0.20/0.55  Learnt:
% 0.20/0.55  #31: exists( #18, #3 ), references = 1, size of lhs = 3:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), #-{F} V2 | P_+-{T}(V2,V1,V1)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #36: exists( #18, #2 ), references = 4, size of lhs = 2:
% 0.20/0.55     P_0-{F}(V0), #-{F} V1 | P_+-{T}(V1,V0,V1)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #45: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #40 ), references = 3, size of lhs = 4:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), P_+-{F}(V2,V0,V3), >=-{F}(V3,V4) | P_==>-{T}(V2,V4,V0)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #48: exists( #18, #1 ), references = 2, size of lhs = 1:
% 0.20/0.55     P_+-{F}(V0,V1,V2) | P_+-{T}(V1,V0,V2)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #50: exists( #21, #14 ), references = 1, size of lhs = 3:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), P_h-{F}(V2,V3) | P_==>-{T}(V3,V2,V3)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #60: mergings( V0 == V3, V3 == V5, V2 == V4, V4 == V6; #55 ), references = 1, size of lhs = 2:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1) | P_h-{T}(V0,V0)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #65: mergings( V0 == V3; #63 ), references = 1, size of lhs = 4:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), P_==>-{F}(V2,V0,V3), P_+-{F}(V2,V3,V4) | P_==>-{T}(V0,V2,V4)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #67: exists( #18, #13 ), references = 1, size of lhs = 5:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1), P_==>-{F}(V2,V3,V4), P_+-{F}(V2,V4,V5), P_==>-{F}(V3,V2,V6) | P_+-{T}(V3,V6,V5)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #69: exists( #22, #17 ), references = 2, size of lhs = 1:
% 0.20/0.55     pppp0-{F}(V0,V1) | P_h-{T}(V0,V0)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #89: mergings( V0 == V3, V3 == V5, V5 == V7, V1 == V4, V4 == V6, V6 == V8; #81 ), references = 1, size of lhs = 2:
% 0.20/0.55     P_0-{F}(V0), P_1-{F}(V1) | pppp0-{T}(V0,V0)
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #99: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #94 ), references = 1, size of lhs = 1:
% 0.20/0.55     P_0-{F}(V0) | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  #101: exists( #19, #94 ), references = 1, size of lhs = 0:
% 0.20/0.55     FALSE | FALSE
% 0.20/0.55        (used 0 times, uses = {})
% 0.20/0.55  
% 0.20/0.55  number of learnt formulas = 12
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55  
% 0.20/0.55  randbase = 1
%------------------------------------------------------------------------------