TSTP Solution File: SYN548+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN548+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:24:56 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN548+1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 03:37:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.51 GeoParameters:
% 0.19/0.51
% 0.19/0.51 tptp_input = 1
% 0.19/0.51 tptp_output = 0
% 0.19/0.51 nonempty = 1
% 0.19/0.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 RuleSystem INPUT:
% 0.19/0.51
% 0.19/0.51 Initial Rules:
% 0.19/0.51 #0: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | reachable-{T}(V0,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #1: input, references = 10, size of lhs = 2:
% 0.19/0.51 reachable-{F}(V0,V1), reachable-{F}(V2,V0) | reachable-{T}(V2,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #2: input, references = 5, size of lhs = 2:
% 0.19/0.51 P_initial_world-{F}(V0), reachable-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #3: input, references = 5, size of lhs = 1:
% 0.19/0.51 pppp3-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #4: input, references = 3, size of lhs = 3:
% 0.19/0.51 pppp2-{F}(V0,V1), pppp1-{F}(V1), pppp0-{F}(V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #5: input, references = 6, size of lhs = 1:
% 0.19/0.51 pppp2-{F}(V0,V1) | pppp0-{T}(V1), pppp1-{T}(V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #6: input, references = 5, size of lhs = 1:
% 0.19/0.51 pppp2-{F}(V0,V1) | reachable-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #7: input, references = 6, size of lhs = 4:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), reachable-{F}(V1,V2), reachable-{F}(V1,V3) | p-{T}(V2), q-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #8: input, references = 5, size of lhs = 2:
% 0.19/0.51 P_initial_world-{F}(V0), #-{F} V1 | pppp1-{T}(V1), pppp8-{T}(V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #9: input, references = 5, size of lhs = 1:
% 0.19/0.51 pppp8-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #10: input, references = 6, size of lhs = 2:
% 0.19/0.51 P_initial_world-{F}(V0), #-{F} V1 | pppp1-{T}(V1), pppp9-{T}(V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #11: input, references = 6, size of lhs = 1:
% 0.19/0.51 pppp9-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #12: input, references = 4, size of lhs = 2:
% 0.19/0.51 pppp5-{F}(V0,V1), q-{F}(V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #13: input, references = 5, size of lhs = 1:
% 0.19/0.51 pppp5-{F}(V0,V1) | reachable-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #14: input, references = 4, size of lhs = 2:
% 0.19/0.51 pppp4-{F}(V0,V1), p-{F}(V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #15: input, references = 5, size of lhs = 1:
% 0.19/0.51 pppp4-{F}(V0,V1) | reachable-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #16: input, references = 4, size of lhs = 4:
% 0.19/0.51 P_initial_world-{F}(V0), pppp0-{F}(V1), reachable-{F}(V1,V2), reachable-{F}(V2,V3) | p-{T}(V2), q-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #17: input, references = 6, size of lhs = 2:
% 0.19/0.51 P_initial_world-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp10-{T}(V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #18: input, references = 5, size of lhs = 1:
% 0.19/0.51 pppp10-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #19: input, references = 7, size of lhs = 1:
% 0.19/0.51 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #20: input, references = 3, size of lhs = 2:
% 0.19/0.51 pppp7-{F}(V0,V1), p-{F}(V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #21: input, references = 5, size of lhs = 1:
% 0.19/0.51 pppp7-{F}(V0,V1) | reachable-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #22: input, references = 7, size of lhs = 2:
% 0.19/0.51 pppp6-{F}(V0,V1), q-{F}(V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #23: input, references = 7, size of lhs = 1:
% 0.19/0.51 pppp6-{F}(V0,V1) | reachable-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #24: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_initial_world-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of initial rules = 25
% 0.19/0.51
% 0.19/0.51 Simplifiers:
% 0.19/0.51 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_initial_world-{F}(V0), P_initial_world-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of simplifiers = 7
% 0.19/0.51
% 0.19/0.51 Learnt:
% 0.19/0.51 #33: disj( #7, input ), references = 4, size of lhs = 5:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), reachable-{F}(V1,V2), reachable-{F}(V1,V3), pppp4-{F}(V4,V2) | q-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #38: exists( #11, #36 ), references = 2, size of lhs = 6:
% 0.19/0.51 pppp9-{F}(V0), P_initial_world-{F}(V1), pppp1-{F}(V2), reachable-{F}(V2,V0), reachable-{F}(V2,V3), pppp4-{F}(V4,V3) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #42: exists( #9, #40 ), references = 2, size of lhs = 6:
% 0.19/0.51 pppp8-{F}(V0), pppp9-{F}(V1), P_initial_world-{F}(V2), pppp1-{F}(V3), reachable-{F}(V3,V1), reachable-{F}(V3,V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #51: exists( #19, #49 ), references = 1, size of lhs = 5:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), pppp7-{F}(V2,V1), reachable-{F}(V1,V3), pppp4-{F}(V4,V3) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #58: exists( #19, #56 ), references = 2, size of lhs = 6:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), reachable-{F}(V1,V2), pppp7-{F}(V3,V2), reachable-{F}(V1,V4), pppp4-{F}(V5,V4) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #62: exists( #18, #60 ), references = 1, size of lhs = 6:
% 0.19/0.51 pppp10-{F}(V0), P_initial_world-{F}(V1), pppp1-{F}(V2), reachable-{F}(V2,V0), reachable-{F}(V2,V3), pppp4-{F}(V4,V3) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #65: mergings( V0 == V2; #63 ), references = 1, size of lhs = 5:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), reachable-{F}(V1,V2), reachable-{F}(V1,V3), pppp4-{F}(V4,V3) | pppp0-{T}(V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #67: disj( #10, input ), references = 1, size of lhs = 3:
% 0.19/0.51 P_initial_world-{F}(V0), pppp0-{F}(V1), pppp2-{F}(V2,V1) | pppp9-{T}(V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #82: disj( #8, input ), references = 1, size of lhs = 3:
% 0.19/0.51 P_initial_world-{F}(V0), pppp0-{F}(V1), pppp2-{F}(V2,V1) | pppp8-{T}(V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #88: mergings( V2 == V4, V4 == V6; #85 ), references = 2, size of lhs = 6:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), reachable-{F}(V1,V2), pppp2-{F}(V3,V2), pppp2-{F}(V4,V2), pppp2-{F}(V5,V2) | pppp1-{T}(V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #90: disj( #7, input ), references = 1, size of lhs = 5:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), reachable-{F}(V1,V2), reachable-{F}(V1,V3), pppp5-{F}(V4,V3) | p-{T}(V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #92: disj( #17, input ), references = 1, size of lhs = 3:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), pppp2-{F}(V2,V1) | pppp10-{T}(V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #94: disj( #7, input ), references = 3, size of lhs = 5:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), reachable-{F}(V1,V2), reachable-{F}(V1,V3), pppp7-{F}(V4,V2) | q-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #101: exists( #19, #99 ), references = 1, size of lhs = 5:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), pppp7-{F}(V2,V1), reachable-{F}(V1,V3), pppp7-{F}(V4,V3) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #112: exists( #19, #110 ), references = 1, size of lhs = 6:
% 0.19/0.51 P_initial_world-{F}(V0), pppp1-{F}(V1), reachable-{F}(V1,V2), pppp7-{F}(V3,V2), reachable-{F}(V1,V4), pppp7-{F}(V5,V4) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #116: exists( #18, #114 ), references = 1, size of lhs = 4:
% 0.19/0.51 pppp10-{F}(V0), P_initial_world-{F}(V1), pppp1-{F}(V2), reachable-{F}(V2,V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #125: mergings( V0 == V3, V3 == V4, V4 == V5; #121 ), references = 2, size of lhs = 3:
% 0.19/0.51 pppp1-{F}(V0), P_initial_world-{F}(V1), reachable-{F}(V1,V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #131: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #126 ), references = 2, size of lhs = 2:
% 0.19/0.51 P_initial_world-{F}(V0), reachable-{F}(V0,V1) | pppp8-{T}(V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #134: mergings( V0 == V2; #132 ), references = 3, size of lhs = 2:
% 0.19/0.51 P_initial_world-{F}(V0), reachable-{F}(V0,V1) | pppp9-{T}(V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #136: disj( #16, input ), references = 1, size of lhs = 5:
% 0.19/0.51 P_initial_world-{F}(V0), pppp0-{F}(V1), reachable-{F}(V1,V2), reachable-{F}(V2,V3), pppp5-{F}(V4,V3) | p-{T}(V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #139: exists( #11, #137 ), references = 2, size of lhs = 7:
% 0.19/0.51 pppp9-{F}(V0), P_initial_world-{F}(V1), pppp0-{F}(V2), reachable-{F}(V2,V3), reachable-{F}(V3,V4), pppp5-{F}(V5,V4), pppp4-{F}(V6,V3) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #143: exists( #11, #141 ), references = 2, size of lhs = 6:
% 0.19/0.51 pppp9-{F}(V0), pppp9-{F}(V1), P_initial_world-{F}(V2), pppp0-{F}(V3), reachable-{F}(V3,V0), pppp4-{F}(V4,V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #146: mergings( V0 == V4; #144 ), references = 1, size of lhs = 5:
% 0.19/0.51 pppp9-{F}(V0), pppp9-{F}(V1), P_initial_world-{F}(V2), reachable-{F}(V3,V0), pppp4-{F}(V4,V0) | pppp10-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #149: disj( #5, exists( #11, #141 ) ), references = 1, size of lhs = 6:
% 0.19/0.51 pppp9-{F}(V0), pppp9-{F}(V1), P_initial_world-{F}(V2), pppp4-{F}(V3,V0), reachable-{F}(V4,V0), pppp2-{F}(V5,V4) | pppp1-{T}(V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #150: disj( #5, exists( #11, #137 ) ), references = 1, size of lhs = 7:
% 0.19/0.51 pppp9-{F}(V0), P_initial_world-{F}(V1), pppp2-{F}(V2,V3), reachable-{F}(V3,V4), reachable-{F}(V4,V5), pppp5-{F}(V6,V5), pppp4-{F}(V7,V4) | pppp1-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #178: mergings( V2 == V4; #176 ), references = 1, size of lhs = 5:
% 0.19/0.51 pppp8-{F}(V0), pppp0-{F}(V0), pppp9-{F}(V1), P_initial_world-{F}(V2), reachable-{F}(V2,V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #181: mergings( V2 == V4; #179 ), references = 1, size of lhs = 5:
% 0.19/0.51 pppp8-{F}(V0), pppp2-{F}(V1,V0), pppp9-{F}(V2), P_initial_world-{F}(V3), reachable-{F}(V3,V0) | pppp1-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #196: mergings( V0 == V1, V1 == V4; #192 ), references = 1, size of lhs = 3:
% 0.19/0.51 pppp9-{F}(V0), P_initial_world-{F}(V1), reachable-{F}(V1,V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #204: exists( #24, #200 ), references = 1, size of lhs = 0:
% 0.19/0.51 FALSE | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of learnt formulas = 29
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 randbase = 1
%------------------------------------------------------------------------------