TSTP Solution File: SET006-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n011.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 06:15:31 EDT 2022

% Result   : Unsatisfiable 0.18s 0.43s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n011.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 01:45:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  GeoParameters:
% 0.18/0.43  
% 0.18/0.43  tptp_input =     1
% 0.18/0.43  tptp_output =    0
% 0.18/0.43  nonempty =       1
% 0.18/0.43  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43  
% 0.18/0.43  RuleSystem INPUT:
% 0.18/0.43  
% 0.18/0.43  Initial Rules:
% 0.18/0.43  #0: input, references = 6, size of lhs = 2:
% 0.18/0.43     subset-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #1: input, references = 6, size of lhs = 1:
% 0.18/0.43     P_member_of_1_not_of_2-{F}(V0,V1,V2) | subset-{T}(V0,V1), member-{T}(V2,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #2: input, references = 12, size of lhs = 2:
% 0.18/0.43     P_member_of_1_not_of_2-{F}(V0,V1,V2), member-{F}(V2,V1) | subset-{T}(V0,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #3: input, references = 3, size of lhs = 1:
% 0.18/0.43     equal_sets-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #4: input, references = 3, size of lhs = 1:
% 0.18/0.43     equal_sets-{F}(V1,V0) | subset-{T}(V0,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #5: input, references = 3, size of lhs = 2:
% 0.18/0.43     subset-{F}(V0,V1), subset-{F}(V1,V0) | equal_sets-{T}(V1,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #6: input, references = 5, size of lhs = 2:
% 0.18/0.43     intersection-{F}(V0,V2,V1), member-{F}(V3,V1) | member-{T}(V3,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #7: input, references = 7, size of lhs = 2:
% 0.18/0.43     intersection-{F}(V2,V0,V1), member-{F}(V3,V1) | member-{T}(V3,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #8: input, references = 3, size of lhs = 3:
% 0.18/0.43     member-{F}(V0,V2), intersection-{F}(V3,V2,V1), member-{F}(V0,V3) | member-{T}(V0,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #9: input, references = 6, size of lhs = 1:
% 0.18/0.43     P_h-{F}(V0,V1,V2,V3) | member-{T}(V3,V2), intersection-{T}(V0,V1,V2), member-{T}(V3,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #10: input, references = 3, size of lhs = 1:
% 0.18/0.43     P_h-{F}(V0,V1,V2,V3) | member-{T}(V3,V2), intersection-{T}(V0,V1,V2), member-{T}(V3,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #11: input, references = 4, size of lhs = 4:
% 0.18/0.43     P_h-{F}(V0,V1,V2,V3), member-{F}(V3,V2), member-{F}(V3,V1), member-{F}(V3,V0) | intersection-{T}(V0,V1,V2)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #12: input, references = 4, size of lhs = 2:
% 0.18/0.43     P_d-{F}(V0), P_a-{F}(V1) | intersection-{T}(V0,V1,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #13: input, references = 12, size of lhs = 3:
% 0.18/0.43     P_d-{F}(V0), P_a-{F}(V1), subset-{F}(V0,V1) | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #14: input, references = 5, size of lhs = 2:
% 0.18/0.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_member_of_1_not_of_2-{T}(V0,V1,V2)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #15: input, references = 3, size of lhs = 3:
% 0.18/0.43     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_h-{T}(V0,V1,V2,V3)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #16: input, references = 4, size of lhs = 0:
% 0.18/0.43     FALSE | EXISTS V0: P_d-{T}(V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #17: input, references = 4, size of lhs = 0:
% 0.18/0.43     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  number of initial rules = 18
% 0.18/0.43  
% 0.18/0.43  Simplifiers:
% 0.18/0.43  #18: unsound, references = 3, size of lhs = 3:
% 0.18/0.43     P_member_of_1_not_of_2-{F}(V0,V1,V2), P_member_of_1_not_of_2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #19: unsound, references = 3, size of lhs = 3:
% 0.18/0.43     P_h-{F}(V0,V1,V2,V3), P_h-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.43     P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.43     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  number of simplifiers = 4
% 0.18/0.43  
% 0.18/0.43  Learnt:
% 0.18/0.43  #28: mergings( V4 == V5, V2 == V6; #25 ), references = 1, size of lhs = 5:
% 0.18/0.43     P_d-{F}(V0), P_a-{F}(V1), P_member_of_1_not_of_2-{F}(V0,V1,V2), subset-{F}(V3,V1), P_h-{F}(V3,V4,V1,V2) | intersection-{T}(V3,V4,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #31: disj( #1, #2+#13 ), references = 1, size of lhs = 4:
% 0.18/0.43     P_d-{F}(V0), P_a-{F}(V1), P_member_of_1_not_of_2-{F}(V0,V1,V2), P_member_of_1_not_of_2-{F}(V1,V3,V2) | subset-{T}(V1,V3)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #34: exists( #14, #32 ), references = 1, size of lhs = 2:
% 0.18/0.43     P_d-{F}(V0), P_a-{F}(V0) | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #43: mergings( V4 == V7, V5 == V8; #40 ), references = 1, size of lhs = 6:
% 0.18/0.43     P_d-{F}(V0), P_a-{F}(V1), P_member_of_1_not_of_2-{F}(V0,V1,V2), intersection-{F}(V3,V1,V4), intersection-{F}(V5,V1,V6), P_h-{F}(V6,V7,V4,V2) | intersection-{T}(V6,V7,V4)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #56: mergings( V4 == V8, V5 == V9, V6 == V10; #52 ), references = 1, size of lhs = 10:
% 0.18/0.43     P_d-{F}(V0), P_a-{F}(V1), P_member_of_1_not_of_2-{F}(V0,V1,V2), member-{F}(V2,V3), member-{F}(V2,V4), subset-{F}(V5,V4), intersection-{F}(V6,V1,V5), P_h-{F}(V5,V4,V4,V7), P_h-{F}(V5,V8,V3,V7), intersection-{F}(V9,V1,V5) | member-{T}(V7,V3)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #61: disj( #1, #2+#0+#2+#13 ), references = 1, size of lhs = 6:
% 0.18/0.43     P_d-{F}(V0), P_a-{F}(V1), P_member_of_1_not_of_2-{F}(V0,V1,V2), member-{F}(V2,V3), P_member_of_1_not_of_2-{F}(V3,V1,V4), P_member_of_1_not_of_2-{F}(V1,V5,V4) | subset-{T}(V1,V5)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #63: disj( #1, input ), references = 1, size of lhs = 3:
% 0.18/0.43     P_d-{F}(V0), P_a-{F}(V1), P_member_of_1_not_of_2-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #68: exists( #14, #66 ), references = 1, size of lhs = 3:
% 0.18/0.43     P_d-{F}(V0), P_a-{F}(V1), intersection-{F}(V2,V1,V0) | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #71: exists( #17, #69 ), references = 1, size of lhs = 1:
% 0.18/0.43     P_d-{F}(V0) | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #73: exists( #16, #70 ), references = 1, size of lhs = 0:
% 0.18/0.43     FALSE | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  number of learnt formulas = 10
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43  
% 0.18/0.43  randbase = 1
%------------------------------------------------------------------------------