TSTP Solution File: ALG440-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : ALG440-1 : TPTP v8.1.0. Released v5.4.0.
% 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 05:57:42 EDT 2022

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG440-1 : TPTP v8.1.0. Released v5.4.0.
% 0.03/0.12  % 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 11:12:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  GeoParameters:
% 0.18/0.45  
% 0.18/0.45  tptp_input =     1
% 0.18/0.45  tptp_output =    0
% 0.18/0.45  nonempty =       1
% 0.18/0.45  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  
% 0.18/0.45  RuleSystem INPUT:
% 0.18/0.45  
% 0.18/0.45  Initial Rules:
% 0.18/0.45  #0: input, references = 4, size of lhs = 2:
% 0.18/0.45     P_m-{F}(V0,V0,V1,V2), V2 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #1: input, references = 4, size of lhs = 2:
% 0.18/0.45     P_m-{F}(V0,V1,V1,V2), V2 == V0 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #2: input, references = 4, size of lhs = 2:
% 0.18/0.45     P_u-{F}(V0,V0,V0,V1), V1 == V0 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #3: input, references = 4, size of lhs = 2:
% 0.18/0.45     P_v-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #4: input, references = 4, size of lhs = 3:
% 0.18/0.45     P_u-{F}(V0,V0,V1,V2), P_u-{F}(V0,V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #5: input, references = 4, size of lhs = 3:
% 0.18/0.45     P_u-{F}(V0,V0,V1,V2), P_u-{F}(V1,V0,V0,V3), V2 == V3 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #6: input, references = 4, size of lhs = 3:
% 0.18/0.45     P_v-{F}(V0,V1,V2), P_v-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #7: input, references = 4, size of lhs = 3:
% 0.18/0.45     P_u-{F}(V0,V0,V1,V2), P_v-{F}(V0,V1,V3), V2 == V3 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #8: input, references = 7, size of lhs = 6:
% 0.18/0.45     r-{F}(V0,V1,V2), r-{F}(V5,V4,V3), P_m-{F}(V8,V5,V0,V9), P_m-{F}(V7,V4,V1,V10), P_m-{F}(V6,V3,V2,V11), r-{F}(V8,V7,V6) | r-{T}(V9,V10,V11)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #9: input, references = 4, size of lhs = 6:
% 0.18/0.45     r-{F}(V0,V1,V2), r-{F}(V5,V4,V3), P_u-{F}(V8,V5,V0,V9), P_u-{F}(V7,V4,V1,V10), P_u-{F}(V6,V3,V2,V11), r-{F}(V8,V7,V6) | r-{T}(V9,V10,V11)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #10: input, references = 6, size of lhs = 5:
% 0.18/0.45     r-{F}(V0,V1,V2), P_v-{F}(V5,V0,V6), P_v-{F}(V4,V1,V7), P_v-{F}(V3,V2,V8), r-{F}(V5,V4,V3) | r-{T}(V6,V7,V8)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #11: input, references = 4, size of lhs = 2:
% 0.18/0.45     P_a-{F}(V0), P_b-{F}(V1) | r-{T}(V0,V0,V1)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #12: input, references = 4, size of lhs = 2:
% 0.18/0.45     P_a-{F}(V0), P_b-{F}(V1) | r-{T}(V0,V1,V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #13: input, references = 4, size of lhs = 2:
% 0.18/0.45     P_a-{F}(V0), P_b-{F}(V1) | r-{T}(V1,V0,V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #14: input, references = 4, size of lhs = 3:
% 0.18/0.45     P_a-{F}(V0), P_b-{F}(V1), r-{F}(V0,V0,V0) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #15: input, references = 4, size of lhs = 3:
% 0.18/0.45     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_m-{T}(V0,V1,V2,V3)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #16: input, references = 6, size of lhs = 3:
% 0.18/0.45     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_u-{T}(V0,V1,V2,V3)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #17: input, references = 6, size of lhs = 2:
% 0.18/0.45     #-{F} V0, #-{F} V1 | EXISTS V2: P_v-{T}(V0,V1,V2)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #18: input, references = 4, size of lhs = 0:
% 0.18/0.45     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #19: input, references = 4, size of lhs = 0:
% 0.18/0.45     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  number of initial rules = 20
% 0.18/0.45  
% 0.18/0.45  Simplifiers:
% 0.18/0.45  #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_m-{F}(V0,V1,V2,V3), P_m-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_u-{F}(V0,V1,V2,V3), P_u-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_v-{F}(V0,V1,V2), P_v-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  number of simplifiers = 5
% 0.18/0.45  
% 0.18/0.45  Learnt:
% 0.18/0.45  #26: exists( #17, #3 ), references = 2, size of lhs = 1:
% 0.18/0.45     #-{F} V0 | P_v-{T}(V0,V0,V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #29: exists( #16, #2 ), references = 1, size of lhs = 1:
% 0.18/0.45     #-{F} V0 | P_u-{T}(V0,V0,V0,V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #30: exists( #16, #7 ), references = 2, size of lhs = 1:
% 0.18/0.45     P_v-{F}(V0,V1,V2) | P_u-{T}(V0,V0,V1,V2)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #33: exists( #15, #0 ), references = 4, size of lhs = 2:
% 0.18/0.45     #-{F} V0, #-{F} V1 | P_m-{T}(V0,V0,V1,V1)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #34: exists( #15, #1 ), references = 3, size of lhs = 2:
% 0.18/0.45     #-{F} V0, #-{F} V1 | P_m-{T}(V0,V1,V1,V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #37: exists( #17, #6 ), references = 2, size of lhs = 1:
% 0.18/0.45     P_v-{F}(V0,V1,V2) | P_v-{T}(V1,V0,V2)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #41: exists( #16, #4 ), references = 2, size of lhs = 1:
% 0.18/0.45     P_u-{F}(V0,V0,V1,V2) | P_u-{T}(V0,V1,V0,V2)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #43: exists( #16, #5 ), references = 1, size of lhs = 1:
% 0.18/0.45     P_u-{F}(V0,V0,V1,V2) | P_u-{T}(V1,V0,V0,V2)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #60: exists( #17, #58 ), references = 2, size of lhs = 20:
% 0.18/0.45     P_a-{F}(V0), P_b-{F}(V1), P_m-{F}(V0,V0,V2,V0), r-{F}(V0,V2,V3), r-{F}(V0,V0,V4), r-{F}(V0,V0,V5), P_m-{F}(V6,V4,V3,V0), P_m-{F}(V7,V4,V5,V6), P_v-{F}(V8,V9,V0), P_v-{F}(V10,V11,V0), P_v-{F}(V12,V13,V7), r-{F}(V14,V8,V15), r-{F}(V15,V9,V14), r-{F}(V14,V15,V15), r-{F}(V15,V15,V14), r-{F}(V15,V14,V15), r-{F}(V11,V15,V14), r-{F}(V10,V14,V15), r-{F}(V15,V14,V13), r-{F}(V14,V15,V12) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #69: exists( #19, #67 ), references = 1, size of lhs = 3:
% 0.18/0.45     P_a-{F}(V0), P_m-{F}(V0,V0,V0,V0), P_v-{F}(V0,V0,V0) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #73: exists( #18, #71 ), references = 1, size of lhs = 0:
% 0.18/0.45     FALSE | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  number of learnt formulas = 11
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  
% 0.18/0.45  randbase = 1
%------------------------------------------------------------------------------