TSTP Solution File: SYN726-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN726-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n022.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 06:25:19 EDT 2022

% Result   : Unsatisfiable 0.19s 0.39s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN726-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n022.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 03:24:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.39  GeoParameters:
% 0.19/0.39  
% 0.19/0.39  tptp_input =     1
% 0.19/0.39  tptp_output =    0
% 0.19/0.39  nonempty =       1
% 0.19/0.39  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39  
% 0.19/0.39  RuleSystem INPUT:
% 0.19/0.39  
% 0.19/0.39  Initial Rules:
% 0.19/0.39  #0: input, references = 7, size of lhs = 2:
% 0.19/0.39     p-{F}(V1,V0), p-{F}(V2,V1) | p-{T}(V2,V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #1: input, references = 8, size of lhs = 2:
% 0.19/0.39     q-{F}(V1,V0), q-{F}(V2,V1) | q-{T}(V2,V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #2: input, references = 11, size of lhs = 1:
% 0.19/0.39     q-{F}(V0,V1) | q-{T}(V1,V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #3: input, references = 12, size of lhs = 2:
% 0.19/0.39     #-{F} V0, #-{F} V1 | p-{T}(V0,V1), q-{T}(V0,V1)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #4: input, references = 6, size of lhs = 3:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), p-{F}(V0,V1) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #5: input, references = 10, size of lhs = 5:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3), q-{F}(V2,V3) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #6: input, references = 4, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #7: input, references = 4, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #8: input, references = 5, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #9: input, references = 6, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_sk4-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  number of initial rules = 10
% 0.19/0.39  
% 0.19/0.39  Simplifiers:
% 0.19/0.39  #10: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #11: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #12: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #13: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_sk4-{F}(V0), P_sk4-{F}(V1), V0 == V1 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  number of simplifiers = 4
% 0.19/0.39  
% 0.19/0.39  Learnt:
% 0.19/0.39  #15: disj( #3, input ), references = 2, size of lhs = 2:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1) | q-{T}(V0,V1)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #17: disj( #3, input ), references = 1, size of lhs = 4:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3) | p-{T}(V2,V3)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #21: disj( #3, #2+#1+#5 ), references = 1, size of lhs = 5:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V2), #-{F} V3 | p-{T}(V2,V3)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #24: disj( #3, #0+#4 ), references = 4, size of lhs = 3:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), p-{F}(V2,V1) | q-{T}(V0,V2)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #35: mergings( V2 == V4, V3 == V5; #32 ), references = 1, size of lhs = 6:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), P_sk3-{F}(V2), q-{F}(V2,V0), P_sk4-{F}(V3), p-{F}(V4,V1) | q-{T}(V3,V4)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #45: mergings( V2 == V3, V3 == V5, V1 == V4, V4 == V6; #40 ), references = 2, size of lhs = 4:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3) | q-{T}(V2,V1)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #48: disj( #3, #2+#5 ), references = 1, size of lhs = 4:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3) | p-{T}(V3,V2)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #51: disj( #3, #1+#5 ), references = 2, size of lhs = 5:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), P_sk3-{F}(V2), q-{F}(V2,V3), P_sk4-{F}(V4) | p-{T}(V3,V4)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #55: disj( #3, #1+#2+#5 ), references = 3, size of lhs = 5:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), P_sk3-{F}(V2), P_sk4-{F}(V3), q-{F}(V4,V2) | p-{T}(V3,V4)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #77: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V3 == V5, V5 == V7, V7 == V9, V9 == V10; #66 ), references = 1, size of lhs = 3:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V0), P_sk3-{F}(V1) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #89: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V3 == V5, V5 == V7, V7 == V9, V9 == V10; #78 ), references = 1, size of lhs = 2:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V0) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #98: mergings( V1 == V4, V4 == V6, V2 == V5, V5 == V7, V3 == V6; #92 ), references = 1, size of lhs = 4:
% 0.19/0.39     P_sk3-{F}(V0), P_sk1-{F}(V0), P_sk2-{F}(V1), q-{F}(V1,V0) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #125: mergings( V1 == V2, V2 == V4, V4 == V5, V3 == V6, V6 == V8; #118 ), references = 1, size of lhs = 4:
% 0.19/0.39     P_sk1-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), q-{F}(V2,V0) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #133: mergings( V1 == V2, V2 == V4, V4 == V5, V3 == V6, V6 == V7; #126 ), references = 1, size of lhs = 3:
% 0.19/0.39     P_sk1-{F}(V0), P_sk2-{F}(V1), q-{F}(V1,V0) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #143: mergings( V1 == V2, V2 == V3, V3 == V4; #138 ), references = 1, size of lhs = 1:
% 0.19/0.39     P_sk1-{F}(V0) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #146: exists( #6, #138 ), references = 1, size of lhs = 0:
% 0.19/0.39     FALSE | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  number of learnt formulas = 16
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.39  
% 0.19/0.39  randbase = 1
%------------------------------------------------------------------------------