TSTP Solution File: GRP194+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:03:31 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 : Fri Jul 22 13:56:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 GeoParameters:
% 0.18/0.51
% 0.18/0.51 tptp_input = 1
% 0.18/0.51 tptp_output = 0
% 0.18/0.51 nonempty = 1
% 0.18/0.51 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 RuleSystem INPUT:
% 0.18/0.51
% 0.18/0.51 Initial Rules:
% 0.18/0.51 #0: input, references = 3, size of lhs = 3:
% 0.18/0.51 group_member-{F}(V1,V0), P_multiply-{F}(V0,V2,V1,V3), group_member-{F}(V2,V0) | group_member-{T}(V3,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #1: input, references = 4, size of lhs = 8:
% 0.18/0.51 group_member-{F}(V1,V0), P_multiply-{F}(V0,V2,V1,V3), group_member-{F}(V2,V0), P_multiply-{F}(V0,V4,V2,V5), P_multiply-{F}(V0,V5,V1,V6), P_multiply-{F}(V0,V4,V3,V7), group_member-{F}(V4,V0), V6 == V7 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #2: input, references = 5, size of lhs = 4:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), P_phi-{F}(V2,V3), group_member-{F}(V2,V0) | group_member-{T}(V3,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #3: input, references = 6, size of lhs = 10:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), P_phi-{F}(V2,V3), group_member-{F}(V2,V0), P_phi-{F}(V4,V5), P_multiply-{F}(V1,V5,V3,V6), P_multiply-{F}(V0,V4,V2,V7), P_phi-{F}(V7,V8), group_member-{F}(V4,V0), V6 == V8 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #4: input, references = 5, size of lhs = 3:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), group_member-{F}(V2,V1) | EXISTS V3: pppp1-{T}(V2,V3,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #5: input, references = 4, size of lhs = 3:
% 0.18/0.51 pppp1-{F}(V0,V1,V2), P_phi-{F}(V1,V3), V3 == V0 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #6: input, references = 5, size of lhs = 2:
% 0.18/0.51 pppp1-{F}(V0,V1,V2), P_phi-{F}(V1,V3) | group_member-{T}(V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #7: input, references = 5, size of lhs = 3:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), left_zero-{F}(V2,V3) | pppp0-{T}(V3,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #8: input, references = 4, size of lhs = 3:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), pppp0-{F}(V3,V2) | left_zero-{T}(V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #9: input, references = 5, size of lhs = 3:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), pppp0-{F}(V2,V3) | group_member-{T}(V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #10: input, references = 5, size of lhs = 6:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), pppp0-{F}(V2,V3), P_multiply-{F}(V3,V2,V4,V5), group_member-{F}(V4,V3), V5 == V2 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #11: input, references = 5, size of lhs = 3:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), group_member-{F}(V2,V3) | pppp0-{T}(V2,V3), pppp3-{T}(V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #12: input, references = 5, size of lhs = 1:
% 0.18/0.51 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #13: input, references = 5, size of lhs = 2:
% 0.18/0.51 pppp2-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V2,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #14: input, references = 5, size of lhs = 2:
% 0.18/0.51 pppp2-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V2,V3) | group_member-{T}(V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #15: input, references = 5, size of lhs = 3:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), P_f_left_zero-{F}(V2) | left_zero-{T}(V0,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #16: input, references = 4, size of lhs = 5:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), P_f_left_zero-{F}(V2), P_phi-{F}(V2,V3), left_zero-{F}(V1,V3) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #17: input, references = 8, size of lhs = 3:
% 0.18/0.51 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_multiply-{T}(V0,V1,V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #18: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_f-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #19: input, references = 7, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: P_phi-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #20: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_h-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #21: input, references = 5, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_f_left_zero-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of initial rules = 22
% 0.18/0.51
% 0.18/0.51 Simplifiers:
% 0.18/0.51 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_multiply-{F}(V0,V1,V2,V3), P_multiply-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_f-{F}(V0), P_f-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_phi-{F}(V0,V1), P_phi-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_h-{F}(V0), P_h-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_f_left_zero-{F}(V0), P_f_left_zero-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of simplifiers = 8
% 0.18/0.51
% 0.18/0.51 Learnt:
% 0.18/0.51 #36: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V3; #31 ), references = 3, size of lhs = 5:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), P_f_left_zero-{F}(V2), P_phi-{F}(V2,V3), group_member-{F}(V3,V1) | pppp3-{T}(V3,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #38: exists( #17, #3 ), references = 3, size of lhs = 8:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), group_member-{F}(V2,V0), P_phi-{F}(V2,V3), group_member-{F}(V4,V0), P_phi-{F}(V4,V5), P_multiply-{F}(V0,V4,V2,V6), P_phi-{F}(V6,V7) | P_multiply-{T}(V1,V5,V3,V7)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #43: mergings( V2 == V8, V3 == V9; #40 ), references = 1, size of lhs = 9:
% 0.18/0.51 P_f-{F}(V0), group_member-{F}(V1,V0), P_phi-{F}(V1,V2), group_member-{F}(V2,V3), P_h-{F}(V3), group_member-{F}(V4,V0), P_phi-{F}(V4,V5), pppp0-{F}(V5,V3), P_multiply-{F}(V0,V4,V1,V6) | P_phi-{T}(V6,V5)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #54: mergings( V7 == V0, V0 == V9, V5 == V10, V6 == V11, V12 == V1, V4 == V8, V8 == V9; #46 ), references = 1, size of lhs = 11:
% 0.18/0.51 P_h-{F}(V0), P_f-{F}(V0), group_member-{F}(V1,V0), P_phi-{F}(V1,V2), group_member-{F}(V2,V0), P_phi-{F}(V2,V1), pppp0-{F}(V3,V0), group_member-{F}(V3,V0), P_phi-{F}(V3,V4), group_member-{F}(V4,V0), P_phi-{F}(V4,V3) | P_multiply-{T}(V0,V4,V1,V4)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #56: exists( #17, #10 ), references = 3, size of lhs = 4:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), pppp0-{F}(V2,V3), group_member-{F}(V4,V3) | P_multiply-{T}(V3,V2,V4,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #61: mergings( V1 == V8; #59 ), references = 1, size of lhs = 7:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), pppp0-{F}(V2,V3), group_member-{F}(V2,V3), group_member-{F}(V4,V3), P_multiply-{F}(V3,V4,V2,V5), pppp2-{F}(V5,V3,V6) | P_multiply-{T}(V3,V5,V6,V5)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #64: exists( #12, #62 ), references = 2, size of lhs = 7:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V1), pppp0-{F}(V2,V3), group_member-{F}(V2,V3), group_member-{F}(V4,V3), P_multiply-{F}(V3,V4,V2,V5), pppp3-{F}(V5,V3) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #68: exists( #19, #5 ), references = 3, size of lhs = 1:
% 0.18/0.51 pppp1-{F}(V0,V1,V2) | P_phi-{T}(V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #81: mergings( V2 == V3, V3 == V5, V5 == V8, V4 == V9; #76 ), references = 1, size of lhs = 9:
% 0.18/0.51 P_f_left_zero-{F}(V0), group_member-{F}(V0,V1), P_f-{F}(V1), group_member-{F}(V2,V1), P_multiply-{F}(V1,V0,V2,V0), P_phi-{F}(V2,V3), pppp0-{F}(V3,V4), group_member-{F}(V3,V4), P_h-{F}(V4) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #93: mergings( V4 == V6, V6 == V7, V7 == V0, V0 == V10, V1 == V5, V5 == V9, V9 == V11; #85 ), references = 1, size of lhs = 7:
% 0.18/0.51 P_f_left_zero-{F}(V0), pppp0-{F}(V0,V1), group_member-{F}(V0,V1), P_f-{F}(V1), P_h-{F}(V2), pppp0-{F}(V3,V2), group_member-{F}(V3,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #108: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V11; #97 ), references = 1, size of lhs = 2:
% 0.18/0.51 P_f-{F}(V0), P_h-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #112: mergings( V0 == V5, V1 == V3; #109 ), references = 1, size of lhs = 6:
% 0.18/0.51 P_f_left_zero-{F}(V0), pppp0-{F}(V0,V1), group_member-{F}(V0,V1), P_f-{F}(V1), P_h-{F}(V2), group_member-{F}(V3,V2) | pppp3-{T}(V3,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #123: mergings( V4 == V0, V8 == V9, V1 == V5, V5 == V7; #118 ), references = 1, size of lhs = 8:
% 0.18/0.51 P_f-{F}(V0), pppp0-{F}(V1,V0), group_member-{F}(V1,V0), P_h-{F}(V2), group_member-{F}(V3,V2), P_phi-{F}(V1,V4), P_multiply-{F}(V2,V4,V3,V5), V5 == V4 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #129: mergings( V4 == V6, V1 == V8, V5 == V0; #125 ), references = 1, size of lhs = 6:
% 0.18/0.51 P_f-{F}(V0), pppp0-{F}(V1,V0), group_member-{F}(V1,V0), P_h-{F}(V2), P_phi-{F}(V1,V3), pppp2-{F}(V3,V2,V4) | P_multiply-{T}(V2,V3,V4,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #134: mergings( V3 == V5, V4 == V1; #131 ), references = 1, size of lhs = 6:
% 0.18/0.51 P_f-{F}(V0), pppp0-{F}(V1,V0), group_member-{F}(V1,V0), P_h-{F}(V2), P_phi-{F}(V1,V3), pppp3-{F}(V3,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #142: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6; #137 ), references = 1, size of lhs = 5:
% 0.18/0.51 P_f_left_zero-{F}(V0), P_h-{F}(V1), P_f-{F}(V2), pppp0-{F}(V0,V2), group_member-{F}(V0,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #155: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V1 == V3, V3 == V5, V5 == V7, V7 == V9; #146 ), references = 1, size of lhs = 2:
% 0.18/0.51 P_h-{F}(V0), P_f-{F}(V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #161: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #156 ), references = 1, size of lhs = 1:
% 0.18/0.51 P_f-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #163: exists( #18, #156 ), references = 1, size of lhs = 0:
% 0.18/0.51 FALSE | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of learnt formulas = 19
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 randbase = 1
%------------------------------------------------------------------------------