TSTP Solution File: SYN345-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n004.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 06:24:26 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n004.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Jul 23 03:13:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.48  GeoParameters:
% 0.18/0.48  
% 0.18/0.48  tptp_input =     1
% 0.18/0.48  tptp_output =    0
% 0.18/0.48  nonempty =       1
% 0.18/0.48  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48  
% 0.18/0.48  RuleSystem INPUT:
% 0.18/0.48  
% 0.18/0.48  Initial Rules:
% 0.18/0.48  #0: input, references = 4, size of lhs = 4:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V0,V1), #-{F} V2 | f-{T}(V0,V1,V1), f-{T}(V0,V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #1: input, references = 7, size of lhs = 5:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V0,V1), P_z-{F}(V3,V2,V4), f-{F}(V2,V3,V4) | f-{T}(V0,V1,V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #2: input, references = 4, size of lhs = 5:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V1,V1), #-{F} V2, #-{F} V3 | f-{T}(V0,V0,V1), f-{T}(V1,V3,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #3: input, references = 5, size of lhs = 5:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V1,V1), P_z-{F}(V3,V2,V4), f-{F}(V3,V4,V4) | f-{T}(V0,V0,V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #4: input, references = 7, size of lhs = 3:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), P_z-{F}(V3,V2,V4) | f-{T}(V0,V0,V1), f-{T}(V0,V1,V1), f-{T}(V3,V2,V4)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #5: input, references = 4, size of lhs = 5:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V0,V1), f-{F}(V0,V1,V1), P_z-{F}(V3,V2,V4) | f-{T}(V3,V2,V4)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #6: input, references = 6, size of lhs = 3:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V1,V1,V2) | f-{T}(V0,V0,V1), f-{T}(V0,V1,V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #7: input, references = 7, size of lhs = 5:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V0,V1), f-{F}(V0,V1,V1), f-{F}(V1,V1,V2) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #8: input, references = 4, size of lhs = 0:
% 0.18/0.48     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #9: input, references = 4, size of lhs = 0:
% 0.18/0.48     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #10: input, references = 9, size of lhs = 2:
% 0.18/0.48     #-{F} V0, #-{F} V1 | EXISTS V2: P_z-{T}(V0,V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  number of initial rules = 11
% 0.18/0.48  
% 0.18/0.48  Simplifiers:
% 0.18/0.48  #11: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #12: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #13: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     P_z-{F}(V0,V1,V2), P_z-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  number of simplifiers = 3
% 0.18/0.48  
% 0.18/0.48  Learnt:
% 0.18/0.48  #15: disj( #6, input ), references = 2, size of lhs = 3:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V0), f-{F}(V0,V0,V1) | f-{T}(V0,V0,V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #18: disj( #4, #14+#7, #14+#7 ), references = 2, size of lhs = 3:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V0), P_z-{F}(V1,V2,V3) | f-{T}(V1,V2,V3)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #24: mergings( V2 == V0; #22 ), references = 1, size of lhs = 2:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #29: mergings( V2 == V4, V3 == V0; #26 ), references = 6, size of lhs = 4:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V0,V1), f-{F}(V0,V1,V1) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #32: disj( #0, mergings( V2 == V4, V3 == V0; #26 ) ), references = 2, size of lhs = 4:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V0,V1), #-{F} V2 | f-{T}(V0,V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #38: disj( #4, #1+#29, #3+#29 ), references = 3, size of lhs = 7:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V2,V3,V3), P_z-{F}(V2,V4,V3), P_z-{F}(V5,V6,V7), P_z-{F}(V8,V9,V10), f-{F}(V9,V8,V10) | f-{T}(V5,V6,V7)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #45: disj( #6, #3+#29 ), references = 1, size of lhs = 5:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V1,V1,V2), f-{F}(V3,V4,V4), P_z-{F}(V3,V5,V4) | f-{T}(V0,V0,V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #56: mergings( V2 == V4, V3 == V0; #52 ), references = 2, size of lhs = 10:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V2,V3,V3), P_z-{F}(V2,V4,V3), f-{F}(V5,V6,V6), P_z-{F}(V5,V7,V6), P_z-{F}(V8,V9,V10), f-{F}(V9,V8,V10), P_z-{F}(V11,V12,V13), f-{F}(V12,V11,V13) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #59: mergings( V2 == V4, V3 == V0; #53 ), references = 1, size of lhs = 10:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V2,V3,V3), P_z-{F}(V2,V4,V3), f-{F}(V5,V6,V6), P_z-{F}(V5,V7,V6), P_z-{F}(V8,V9,V10), f-{F}(V9,V8,V10), P_z-{F}(V11,V12,V13), f-{F}(V12,V11,V13) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #66: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7; #60 ), references = 1, size of lhs = 6:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), P_z-{F}(V2,V3,V3), P_z-{F}(V3,V2,V3), P_z-{F}(V2,V4,V3), P_z-{F}(V2,V5,V3) | f-{T}(V0,V1,V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #69: disj( #2, mergings( V2 == V4, V3 == V0; #26 ) ), references = 3, size of lhs = 5:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V1,V1), #-{F} V2, #-{F} V3 | f-{T}(V1,V3,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #76: mergings( V3 == V4, V0 == V5; #72 ), references = 2, size of lhs = 7:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V1,V1), P_z-{F}(V2,V3,V4), f-{F}(V3,V2,V4), P_z-{F}(V5,V6,V7), f-{F}(V6,V5,V7) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #81: mergings( V3 == V4, V1 == V5; #78 ), references = 3, size of lhs = 3:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V0,V1,V1) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #87: disj( #4, #32+#81, mergings( V3 == V4, V1 == V5; #78 ) ), references = 2, size of lhs = 3:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), P_z-{F}(V2,V3,V4) | f-{T}(V2,V3,V4)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #111: disj( #6, mergings( V3 == V4, V1 == V5; #78 ) ), references = 1, size of lhs = 3:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1), f-{F}(V1,V1,V2) | f-{T}(V0,V0,V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #126: mergings( V2 == V4, V3 == V0; #121 ), references = 1, size of lhs = 2:
% 0.18/0.48     P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #131: mergings( V1 == V2; #127 ), references = 1, size of lhs = 1:
% 0.18/0.48     P_a-{F}(V0) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #135: exists( #8, #127 ), references = 1, size of lhs = 0:
% 0.18/0.48     FALSE | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  number of learnt formulas = 18
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48  
% 0.18/0.48  randbase = 1
%------------------------------------------------------------------------------