TSTP Solution File: MSC008-1.002 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 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 : Mon May 22 16:35:03 EDT 2023
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 : Mon May 22 16:58:16 EDT 2023
% 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 = 16, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), eq-{F}(V0,V1) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #1: input, references = 3, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), #-{F} V2 | eq-{T}(V2,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #2: input, references = 11, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), eq-{F}(V2,V3) | eq-{T}(V3,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #3: input, references = 4, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), latin-{F}(V5,V4,V2), latin-{F}(V5,V4,V3) | eq-{T}(V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #4: input, references = 5, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), latin-{F}(V5,V2,V4), latin-{F}(V5,V3,V4) | eq-{T}(V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #5: input, references = 5, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), latin-{F}(V2,V5,V4), latin-{F}(V3,V5,V4) | eq-{T}(V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #6: input, references = 5, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), greek-{F}(V5,V4,V2), greek-{F}(V5,V4,V3) | eq-{T}(V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #7: input, references = 4, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), greek-{F}(V5,V2,V4), greek-{F}(V5,V3,V4) | eq-{T}(V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #8: input, references = 5, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), greek-{F}(V2,V5,V4), greek-{F}(V3,V5,V4) | eq-{T}(V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #9: input, references = 7, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), #-{F} V2, #-{F} V3 | latin-{T}(V2,V3,V0), latin-{T}(V2,V3,V1)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #10: input, references = 5, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), #-{F} V2, #-{F} V3 | latin-{T}(V2,V0,V3), latin-{T}(V2,V1,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #11: input, references = 3, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), #-{F} V2, #-{F} V3 | latin-{T}(V0,V2,V3), latin-{T}(V1,V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #12: input, references = 7, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), #-{F} V2, #-{F} V3 | greek-{T}(V2,V3,V0), greek-{T}(V2,V3,V1)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #13: input, references = 5, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), #-{F} V2, #-{F} V3 | greek-{T}(V2,V0,V3), greek-{T}(V2,V1,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #14: input, references = 3, size of lhs = 4:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), #-{F} V2, #-{F} V3 | greek-{T}(V0,V2,V3), greek-{T}(V1,V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #15: input, references = 6, size of lhs = 6:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), greek-{F}(V5,V2,V6), greek-{F}(V4,V3,V6), latin-{F}(V5,V2,V7), latin-{F}(V4,V3,V7) | eq-{T}(V2,V3)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #16: input, references = 3, size of lhs = 6:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), greek-{F}(V2,V5,V6), greek-{F}(V3,V4,V6), latin-{F}(V2,V5,V7), latin-{F}(V3,V4,V7) | eq-{T}(V2,V3)
% 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_p_1-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #18: input, references = 4, size of lhs = 0:
% 0.18/0.43 FALSE | EXISTS V0: P_p_2-{T}(V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 number of initial rules = 19
% 0.18/0.43
% 0.18/0.43 Simplifiers:
% 0.18/0.43 #19: unsound, references = 3, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_1-{F}(V1), V0 == V1 | 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_p_2-{F}(V0), P_p_2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 number of simplifiers = 2
% 0.18/0.43
% 0.18/0.43 Learnt:
% 0.18/0.43 #31: mergings( V0 == V4, V4 == V6, V6 == V3, V1 == V5, V5 == V7, V7 == V8; #24 ), references = 2, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), latin-{F}(V2,V1,V0) | latin-{T}(V2,V0,V1)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #38: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V2; #33 ), references = 2, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), latin-{F}(V0,V2,V1) | latin-{T}(V1,V2,V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #45: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V2; #40 ), references = 3, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), latin-{F}(V0,V0,V2) | latin-{T}(V1,V1,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #52: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V3; #47 ), references = 1, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), greek-{F}(V2,V1,V0) | greek-{T}(V2,V0,V1)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #62: mergings( V0 == V4, V4 == V6, V6 == V3, V1 == V5, V5 == V7, V7 == V8; #55 ), references = 2, size of lhs = 5:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), greek-{F}(V2,V1,V0), latin-{F}(V2,V1,V3), latin-{F}(V4,V0,V3) | greek-{T}(V4,V0,V1)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #72: mergings( V0 == V4, V4 == V6, V6 == V3, V1 == V5, V5 == V7, V7 == V8; #65 ), references = 1, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), greek-{F}(V2,V0,V1) | greek-{T}(V2,V1,V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #93: mergings( V0 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V1 == V5, V5 == V7, V7 == V3, V3 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19; #77 ), references = 3, size of lhs = 6:
% 0.18/0.43 P_p_1-{F}(V0), latin-{F}(V0,V0,V1), P_p_2-{F}(V2), latin-{F}(V3,V2,V1), latin-{F}(V0,V2,V4), latin-{F}(V2,V0,V4) | greek-{T}(V3,V2,V2)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #103: mergings( V0 == V4, V4 == V6, V6 == V3, V1 == V5, V5 == V7, V7 == V8; #96 ), references = 3, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), greek-{F}(V2,V1,V1) | greek-{T}(V2,V0,V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #113: mergings( V0 == V4, V4 == V6, V6 == V2, V1 == V5, V5 == V7, V7 == V8; #106 ), references = 2, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), greek-{F}(V1,V2,V0) | greek-{T}(V0,V2,V1)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #133: mergings( V0 == V2, V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V3; #119 ), references = 1, size of lhs = 7:
% 0.18/0.43 P_p_1-{F}(V0), latin-{F}(V0,V0,V1), P_p_2-{F}(V2), latin-{F}(V2,V2,V1), latin-{F}(V2,V0,V2), latin-{F}(V2,V2,V3), latin-{F}(V0,V0,V3) | latin-{T}(V0,V2,V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #150: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V0, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12; #138 ), references = 1, size of lhs = 2:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1) | latin-{T}(V0,V0,V1)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #160: mergings( V0 == V4, V4 == V6, V6 == V3, V1 == V5, V5 == V7, V7 == V8; #153 ), references = 1, size of lhs = 3:
% 0.18/0.43 P_p_1-{F}(V0), P_p_2-{F}(V1), latin-{F}(V2,V0,V1) | latin-{T}(V2,V1,V0)
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #180: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #170 ), references = 1, size of lhs = 1:
% 0.18/0.43 P_p_1-{F}(V0) | FALSE
% 0.18/0.43 (used 0 times, uses = {})
% 0.18/0.43
% 0.18/0.43 #182: exists( #17, #170 ), 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 = 14
% 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
%------------------------------------------------------------------------------