TSTP Solution File: LCL161-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n016.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 06:08:51 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n016.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 23:03:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.51  GeoParameters:
% 0.18/0.51  
% 0.18/0.51  tptp_input =     1
% 0.18/0.51  tptp_output =    0
% 0.18/0.51  nonempty =       1
% 0.18/0.51  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51  
% 0.18/0.51  RuleSystem INPUT:
% 0.18/0.51  
% 0.18/0.51  Initial Rules:
% 0.18/0.51  #0: input, references = 5, size of lhs = 4:
% 0.18/0.51     P_truth-{F}(V0), P_not-{F}(V1,V2), P_xor-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #1: input, references = 4, size of lhs = 4:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V1,V3), V3 == V2 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #2: input, references = 4, size of lhs = 4:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V2,V3), V3 == V1 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #3: input, references = 4, size of lhs = 4:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V0,V3), V3 == V2 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #4: input, references = 3, size of lhs = 4:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V1,V3), V3 == V1 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #5: input, references = 4, size of lhs = 5:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V3), P_and_star-{F}(V3,V2,V4), V4 == V1 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #6: input, references = 4, size of lhs = 7:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V3,V4), P_xor-{F}(V2,V4,V5), P_xor-{F}(V2,V0,V6), P_xor-{F}(V6,V3,V7), V5 == V7 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #7: input, references = 3, size of lhs = 11:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V4), P_and_star-{F}(V4,V3,V5), P_xor-{F}(V5,V0,V6), P_and_star-{F}(V6,V3,V7), P_xor-{F}(V0,V3,V8), P_and_star-{F}(V8,V2,V9), P_xor-{F}(V9,V0,V10), P_and_star-{F}(V10,V2,V11), V7 == V11 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #8: input, references = 4, size of lhs = 5:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V3,V4), P_xor-{F}(V3,V2,V5), V4 == V5 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #9: input, references = 3, size of lhs = 7:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V5), P_and_star-{F}(V5,V4,V6), P_and_star-{F}(V3,V4,V7), P_and_star-{F}(V2,V7,V8), V6 == V8 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #10: input, references = 4, size of lhs = 5:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V4), P_and_star-{F}(V3,V2,V5), V4 == V5 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #11: input, references = 3, size of lhs = 4:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), V2 == V1 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #12: input, references = 4, size of lhs = 8:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_implies-{F}(V3,V4,V5), P_xor-{F}(V0,V4,V6), P_and_star-{F}(V3,V6,V7), P_xor-{F}(V0,V7,V8), V5 == V8 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #13: input, references = 4, size of lhs = 5:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_x-{F}(V3), P_implies-{F}(V0,V3,V3) | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #14: input, references = 6, size of lhs = 1:
% 0.18/0.51     #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #15: input, references = 6, size of lhs = 2:
% 0.18/0.51     #-{F} V0, #-{F} V1 | EXISTS V2: P_xor-{T}(V0,V1,V2)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #16: input, references = 4, size of lhs = 0:
% 0.18/0.51     FALSE | EXISTS V0: P_truth-{T}(V0)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #17: input, references = 4, size of lhs = 0:
% 0.18/0.51     FALSE | EXISTS V0: P_falsehood-{T}(V0)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #18: input, references = 6, size of lhs = 2:
% 0.18/0.51     #-{F} V0, #-{F} V1 | EXISTS V2: P_and_star-{T}(V0,V1,V2)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #19: input, references = 4, size of lhs = 2:
% 0.18/0.51     #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #20: input, references = 4, size of lhs = 0:
% 0.18/0.51     FALSE | EXISTS V0: P_x-{T}(V0)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  number of initial rules = 21
% 0.18/0.51  
% 0.18/0.51  Simplifiers:
% 0.18/0.51  #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.51     P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.51     P_xor-{F}(V0,V1,V2), P_xor-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.51     P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.51     P_falsehood-{F}(V0), P_falsehood-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.51     P_and_star-{F}(V0,V1,V2), P_and_star-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.51     P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.51     P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  number of simplifiers = 7
% 0.18/0.51  
% 0.18/0.51  Learnt:
% 0.18/0.51  #29: exists( #15, #2 ), references = 2, size of lhs = 3:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_xor-{T}(V2,V2,V1)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #31: exists( #15, #8 ), references = 3, size of lhs = 3:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V2,V3,V4) | P_xor-{T}(V3,V2,V4)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #36: exists( #15, #1 ), references = 2, size of lhs = 3:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_xor-{T}(V2,V1,V2)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #37: exists( #15, #0 ), references = 4, size of lhs = 2:
% 0.18/0.51     P_truth-{F}(V0), P_not-{F}(V1,V2) | P_xor-{T}(V1,V0,V2)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #39: exists( #14, #0 ), references = 2, size of lhs = 2:
% 0.18/0.51     P_truth-{F}(V0), P_xor-{F}(V1,V0,V2) | P_not-{T}(V1,V2)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #41: exists( #18, #5 ), references = 1, size of lhs = 3:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V2,V3) | P_and_star-{T}(V3,V2,V1)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #43: exists( #18, #3 ), references = 2, size of lhs = 3:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), #-{F} V2 | P_and_star-{T}(V2,V0,V2)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #47: exists( #19, #12 ), references = 2, size of lhs = 6:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_not-{F}(V0,V2), P_xor-{F}(V0,V3,V4), P_and_star-{F}(V5,V4,V6), P_xor-{F}(V0,V6,V7) | P_implies-{T}(V5,V3,V7)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #50: exists( #18, #10 ), references = 2, size of lhs = 3:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_and_star-{F}(V2,V3,V4) | P_and_star-{T}(V3,V2,V4)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #62: mergings( V2 == V3; #60 ), references = 1, size of lhs = 5:
% 0.18/0.51     P_truth-{F}(V0), P_falsehood-{F}(V1), P_xor-{F}(V0,V0,V2), P_xor-{F}(V3,V2,V4), P_xor-{F}(V3,V0,V5) | P_not-{T}(V5,V4)
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #84: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V14 == V17, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V16; #71 ), references = 2, size of lhs = 6:
% 0.18/0.51     P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V2), P_not-{F}(V0,V3), P_x-{F}(V4), P_xor-{F}(V4,V1,V4) | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #89: mergings( V1 == V3, V2 == V4; #86 ), references = 1, size of lhs = 4:
% 0.18/0.51     P_truth-{F}(V0), P_xor-{F}(V0,V0,V1), P_falsehood-{F}(V1), P_not-{F}(V0,V2) | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #95: mergings( V1 == V2, V2 == V3; #92 ), references = 1, size of lhs = 1:
% 0.18/0.51     P_truth-{F}(V0) | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  #97: exists( #16, #92 ), references = 1, size of lhs = 0:
% 0.18/0.51     FALSE | FALSE
% 0.18/0.51        (used 0 times, uses = {})
% 0.18/0.51  
% 0.18/0.51  number of learnt formulas = 14
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51  
% 0.18/0.51  randbase = 1
%------------------------------------------------------------------------------