TSTP Solution File: SYN332+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n029.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 06:24:23 EDT 2022

% Result   : Theorem 3.64s 3.78s
% Output   : Refutation 3.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Jul 23 03:43:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 3.64/3.78  GeoParameters:
% 3.64/3.78  
% 3.64/3.78  tptp_input =     1
% 3.64/3.78  tptp_output =    0
% 3.64/3.78  nonempty =       1
% 3.64/3.78  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/3.78  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.64/3.78  
% 3.64/3.78  
% 3.64/3.78  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/3.78  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/3.78  
% 3.64/3.78  RuleSystem INPUT:
% 3.64/3.78  
% 3.64/3.78  Initial Rules:
% 3.64/3.78  #0: input, references = 8, size of lhs = 2:
% 3.64/3.78     #-{F} V0, #-{F} V1 | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #1: input, references = 8, size of lhs = 1:
% 3.64/3.78     pppp4-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #2: input, references = 10, size of lhs = 3:
% 3.64/3.78     pppp3-{F}(V0,V1,V2), big_f-{F}(V2,V1), pppp2-{F}(V0,V1) | FALSE
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #3: input, references = 4, size of lhs = 1:
% 3.64/3.78     pppp3-{F}(V0,V1,V2) | pppp2-{T}(V0,V1), big_f-{T}(V2,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #4: input, references = 6, size of lhs = 2:
% 3.64/3.78     pppp3-{F}(V0,V1,V2), big_f-{F}(V2,V2) | pppp1-{T}(V0,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #5: input, references = 3, size of lhs = 2:
% 3.64/3.78     pppp3-{F}(V0,V1,V2), pppp1-{F}(V0,V1) | big_f-{T}(V2,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #6: input, references = 4, size of lhs = 2:
% 3.64/3.78     pppp3-{F}(V0,V1,V2), big_f-{F}(V1,V2) | big_f-{T}(V0,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #7: input, references = 4, size of lhs = 2:
% 3.64/3.78     pppp3-{F}(V0,V1,V2), big_f-{F}(V0,V2) | big_f-{T}(V1,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #8: input, references = 4, size of lhs = 2:
% 3.64/3.78     pppp3-{F}(V0,V1,V2), big_f-{F}(V2,V0) | big_f-{T}(V0,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #9: input, references = 4, size of lhs = 2:
% 3.64/3.78     pppp3-{F}(V0,V1,V2), big_f-{F}(V0,V2) | big_f-{T}(V2,V0)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #10: input, references = 6, size of lhs = 3:
% 3.64/3.78     pppp3-{F}(V0,V1,V2), big_f-{F}(V0,V2), pppp0-{F}(V0,V1) | FALSE
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #11: input, references = 5, size of lhs = 1:
% 3.64/3.78     pppp3-{F}(V0,V1,V2) | pppp0-{T}(V0,V1), big_f-{T}(V0,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #12: input, references = 6, size of lhs = 2:
% 3.64/3.78     #-{F} V0, #-{F} V1 | pppp5-{T}(V0,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #13: input, references = 5, size of lhs = 3:
% 3.64/3.78     pppp5-{F}(V0,V1), big_f-{F}(V1,V0), big_f-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #14: input, references = 8, size of lhs = 1:
% 3.64/3.78     pppp5-{F}(V0,V1) | pppp2-{T}(V0,V1), big_f-{T}(V0,V1), big_f-{T}(V1,V0)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #15: input, references = 5, size of lhs = 3:
% 3.64/3.78     pppp5-{F}(V0,V1), pppp2-{F}(V0,V1), big_f-{F}(V1,V0) | big_f-{T}(V0,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #16: input, references = 3, size of lhs = 3:
% 3.64/3.78     pppp5-{F}(V0,V1), pppp2-{F}(V0,V1), big_f-{F}(V0,V1) | big_f-{T}(V1,V0)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #17: input, references = 6, size of lhs = 2:
% 3.64/3.78     pppp1-{F}(V0,V1), big_f-{F}(V1,V0) | big_f-{T}(V0,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #18: input, references = 6, size of lhs = 2:
% 3.64/3.78     #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), big_f-{T}(V1,V0)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #19: input, references = 3, size of lhs = 1:
% 3.64/3.78     big_f-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #20: input, references = 5, size of lhs = 1:
% 3.64/3.78     pppp0-{F}(V0,V1) | big_f-{T}(V0,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #21: input, references = 4, size of lhs = 1:
% 3.64/3.78     pppp0-{F}(V0,V1) | big_f-{T}(V1,V0)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #22: input, references = 4, size of lhs = 2:
% 3.64/3.78     big_f-{F}(V0,V1), big_f-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  number of initial rules = 23
% 3.64/3.78  
% 3.64/3.78  Simplifiers:
% 3.64/3.78  #23: unsound, references = 3, size of lhs = 3:
% 3.64/3.78     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #24: unsound, references = 3, size of lhs = 3:
% 3.64/3.78     pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  number of simplifiers = 2
% 3.64/3.78  
% 3.64/3.78  Learnt:
% 3.64/3.78  #26: disj( #14, input, input ), references = 1, size of lhs = 5:
% 3.64/3.78     pppp2-{F}(V0,V1), pppp5-{F}(V1,V2), pppp3-{F}(V0,V1,V2), pppp0-{F}(V1,V3), pppp3-{F}(V1,V3,V2) | pppp2-{T}(V1,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #28: disj( #14, input, input ), references = 1, size of lhs = 5:
% 3.64/3.78     pppp2-{F}(V0,V1), pppp3-{F}(V0,V1,V2), pppp5-{F}(V2,V1), pppp0-{F}(V1,V3), pppp3-{F}(V1,V3,V2) | pppp2-{T}(V2,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #30: disj( #18, input ), references = 1, size of lhs = 2:
% 3.64/3.78     pppp2-{F}(V0,V1), pppp3-{F}(V0,V1,V2) | pppp1-{T}(V1,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #34: disj( #11, #9+#2 ), references = 3, size of lhs = 4:
% 3.64/3.78     pppp2-{F}(V0,V1), pppp3-{F}(V0,V1,V2), pppp3-{F}(V1,V3,V2), pppp3-{F}(V1,V4,V2) | pppp0-{T}(V1,V3)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #49: disj( #11, #21+#2 ), references = 1, size of lhs = 3:
% 3.64/3.78     pppp2-{F}(V0,V1), pppp3-{F}(V0,V1,V2), pppp3-{F}(V1,V2,V3) | big_f-{T}(V1,V3)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #50: disj( #11, #20+#10 ), references = 1, size of lhs = 3:
% 3.64/3.78     pppp0-{F}(V0,V1), pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V2,V3) | big_f-{T}(V0,V3)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #142: disj( #18, input ), references = 1, size of lhs = 2:
% 3.64/3.78     pppp0-{F}(V0,V1), pppp3-{F}(V0,V1,V2) | pppp1-{T}(V2,V0)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #269: disj( #3, #15+#2 ), references = 1, size of lhs = 5:
% 3.64/3.78     pppp2-{F}(V0,V1), big_f-{F}(V1,V2), pppp5-{F}(V2,V1), pppp3-{F}(V0,V1,V2), pppp3-{F}(V2,V1,V3) | big_f-{T}(V3,V1)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #338: disj( #14, #6+#10, input ), references = 1, size of lhs = 6:
% 3.64/3.78     pppp0-{F}(V0,V1), pppp3-{F}(V0,V1,V2), pppp5-{F}(V3,V2), pppp3-{F}(V0,V3,V2), pppp3-{F}(V4,V3,V2), pppp2-{F}(V4,V3) | pppp2-{T}(V3,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #339: disj( #14, #15+#2, input ), references = 1, size of lhs = 7:
% 3.64/3.78     pppp2-{F}(V0,V1), pppp5-{F}(V1,V2), pppp5-{F}(V2,V1), pppp2-{F}(V2,V1), pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), pppp2-{F}(V3,V1) | pppp2-{T}(V1,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #364: disj( #18, #8+#10 ), references = 1, size of lhs = 3:
% 3.64/3.78     pppp0-{F}(V0,V1), pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V3,V2) | pppp1-{T}(V0,V2)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #516: exists( #0, #514 ), references = 2, size of lhs = 5:
% 3.64/3.78     pppp2-{F}(V0,V0), pppp2-{F}(V1,V2), big_f-{F}(V2,V3), pppp3-{F}(V3,V2,V0), pppp3-{F}(V1,V2,V3) | FALSE
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #522: disj( #14, exists( #0, #514 ), #4+#17+#2 ), references = 1, size of lhs = 9:
% 3.64/3.78     pppp5-{F}(V0,V0), pppp2-{F}(V1,V2), big_f-{F}(V2,V3), pppp3-{F}(V3,V2,V0), pppp3-{F}(V1,V2,V3), pppp2-{F}(V4,V5), big_f-{F}(V5,V6), pppp3-{F}(V6,V5,V0), pppp3-{F}(V4,V5,V6) | big_f-{T}(V0,V0)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #523: disj( #14, exists( #0, #514 ), #13+#516 ), references = 1, size of lhs = 9:
% 3.64/3.78     pppp5-{F}(V0,V0), pppp2-{F}(V1,V2), big_f-{F}(V2,V3), pppp3-{F}(V3,V2,V0), pppp3-{F}(V1,V2,V3), pppp2-{F}(V4,V5), big_f-{F}(V5,V6), pppp3-{F}(V6,V5,V0), pppp3-{F}(V4,V5,V6) | big_f-{T}(V0,V0)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #535: exists( #0, #531 ), references = 1, size of lhs = 7:
% 3.64/3.78     pppp2-{F}(V0,V1), pppp3-{F}(V0,V1,V2), big_f-{F}(V1,V2), pppp2-{F}(V3,V1), pppp3-{F}(V3,V1,V2), pppp2-{F}(V4,V1), pppp3-{F}(V4,V1,V2) | FALSE
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #544: exists( #0, #540 ), references = 1, size of lhs = 3:
% 3.64/3.78     pppp2-{F}(V0,V1), pppp3-{F}(V0,V1,V2), pppp2-{F}(V1,V2) | FALSE
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #553: exists( #0, #549 ), references = 2, size of lhs = 2:
% 3.64/3.78     pppp0-{F}(V0,V0), pppp2-{F}(V0,V0) | FALSE
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #562: disj( #14, #22+#13+#551, #22+#13+#551 ), references = 1, size of lhs = 1:
% 3.64/3.78     pppp5-{F}(V0,V0) | pppp2-{T}(V0,V0)
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #566: exists( #0, #564 ), references = 1, size of lhs = 1:
% 3.64/3.78     pppp2-{F}(V0,V0) | FALSE
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  #569: #12+#558+#565, references = 1, size of lhs = 1:
% 3.64/3.78     #-{F} V0 | FALSE
% 3.64/3.78        (used 0 times, uses = {})
% 3.64/3.78  
% 3.64/3.78  number of learnt formulas = 20
% 3.64/3.78  
% 3.64/3.78  
% 3.64/3.78  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/3.78  
% 3.64/3.78  randbase = 1
%------------------------------------------------------------------------------