TSTP Solution File: GRP128-4.003 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP128-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:03:17 EDT 2022
% Result : Unsatisfiable 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP128-4.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.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 14:39:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.41 GeoParameters:
% 0.18/0.41
% 0.18/0.41 tptp_input = 1
% 0.18/0.41 tptp_output = 0
% 0.18/0.41 nonempty = 1
% 0.18/0.41 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 RuleSystem INPUT:
% 0.18/0.41
% 0.18/0.41 Initial Rules:
% 0.18/0.41 #0: input, references = 8, size of lhs = 5:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), group_element-{F}(V3), group_element-{F}(V4) | product-{T}(V0,V4,V3), product-{T}(V1,V4,V3), product-{T}(V2,V4,V3)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #1: input, references = 3, size of lhs = 5:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), group_element-{F}(V3), group_element-{F}(V4) | product-{T}(V4,V0,V3), product-{T}(V4,V1,V3), product-{T}(V4,V2,V3)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #2: input, references = 6, size of lhs = 5:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V4,V3,V5), product-{F}(V6,V4,V5) | product-{T}(V6,V3,V4)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #3: input, references = 5, size of lhs = 5:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V6,V4,V5), product-{F}(V6,V3,V4) | product-{T}(V4,V3,V5)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #4: input, references = 5, size of lhs = 3:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #5: input, references = 4, size of lhs = 3:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V1)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #6: input, references = 4, size of lhs = 3:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #7: input, references = 6, size of lhs = 4:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #8: input, references = 6, size of lhs = 4:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #9: input, references = 4, size of lhs = 4:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #10: input, references = 5, size of lhs = 4:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V2) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #11: input, references = 4, size of lhs = 4:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #12: input, references = 4, size of lhs = 4:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #13: input, references = 3, size of lhs = 5:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), group_element-{F}(V3), group_element-{F}(V4) | product-{T}(V4,V3,V0), product-{T}(V4,V3,V1), product-{T}(V4,V3,V2)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #14: input, references = 8, size of lhs = 5:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V6,V5,V3), product-{F}(V6,V5,V4) | equalish-{T}(V3,V4)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #15: input, references = 6, size of lhs = 5:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V6,V3,V5), product-{F}(V6,V4,V5) | equalish-{T}(V3,V4)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #16: input, references = 6, size of lhs = 5:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V3,V5,V6), product-{F}(V4,V5,V6) | equalish-{T}(V3,V4)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #17: input, references = 3, size of lhs = 5:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V4,V3,V5), product-{F}(V6,V3,V4) | product-{T}(V6,V4,V5)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #18: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #19: input, references = 4, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #20: input, references = 5, size of lhs = 0:
% 0.18/0.41 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of initial rules = 21
% 0.18/0.41
% 0.18/0.41 Simplifiers:
% 0.18/0.41 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.41 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of simplifiers = 3
% 0.18/0.41
% 0.18/0.41 Learnt:
% 0.18/0.41 #46: mergings( V0 == V3, V3 == V5, V5 == V9, V1 == V9, V9 == V6, V6 == V10, V2 == V7, V7 == V8, V8 == V11, V11 == V12; #27 ), references = 1, size of lhs = 5:
% 0.18/0.41 group_element-{F}(V0), P_e_1-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V2) | product-{T}(V2,V1,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #57: mergings( V0 == V3, V3 == V5, V5 == V9, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V2 == V9, V9 == V7, V7 == V11; #31 ), references = 1, size of lhs = 5:
% 0.18/0.41 group_element-{F}(V0), P_e_1-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V2) | product-{T}(V0,V1,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #78: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V1 == V3, V3 == V9, V9 == V6, V6 == V8, V8 == V10; #67 ), references = 1, size of lhs = 2:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #94: mergings( V0 == V5, V5 == V8, V8 == V9, V9 == V12, V6 == V1, V1 == V10, V10 == V2, V7 == V11, V11 == V2; #81 ), references = 1, size of lhs = 5:
% 0.18/0.41 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), P_e_3-{F}(V3) | product-{T}(V2,V1,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #131: mergings( V0 == V3, V3 == V4, V4 == V7, V7 == V11, V11 == V14, V5 == V8, V8 == V1, V1 == V12, V12 == V15, V15 == V17, V6 == V9, V9 == V10, V10 == V13, V13 == V16, V16 == V2; #115 ), references = 1, size of lhs = 4:
% 0.18/0.41 group_element-{F}(V0), P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | product-{T}(V0,V0,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #149: mergings( V0 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V12, V1 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V15, V2 == V6, V6 == V11, V11 == V14; #135 ), references = 1, size of lhs = 6:
% 0.18/0.41 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_2-{F}(V2) | product-{T}(V2,V1,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #171: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V19, V1 == V4, V4 == V6, V6 == V11, V11 == V14, V14 == V17, V7 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V2; #154 ), references = 1, size of lhs = 6:
% 0.18/0.41 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), P_e_3-{F}(V3), product-{F}(V1,V3,V0) | product-{T}(V2,V1,V0)
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #215: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V16, V16 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V36, V1 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V32, V32 == V34, V34 == V37; #179 ), references = 1, size of lhs = 2:
% 0.18/0.41 P_e_1-{F}(V0), P_e_2-{F}(V1) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #234: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18; #216 ), references = 1, size of lhs = 1:
% 0.18/0.41 P_e_1-{F}(V0) | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 #236: exists( #18, #216 ), references = 1, size of lhs = 0:
% 0.18/0.41 FALSE | FALSE
% 0.18/0.41 (used 0 times, uses = {})
% 0.18/0.41
% 0.18/0.41 number of learnt formulas = 10
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41
% 0.18/0.41 randbase = 1
%------------------------------------------------------------------------------