TSTP Solution File: SYN013-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN013-1 : TPTP v8.1.0. Released v1.0.0.
% 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 06:23:28 EDT 2022
% Result : Unsatisfiable 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % 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 : Sat Jul 23 03:20:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.40 GeoParameters:
% 0.18/0.40
% 0.18/0.40 tptp_input = 1
% 0.18/0.40 tptp_output = 0
% 0.18/0.40 nonempty = 1
% 0.18/0.40 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40
% 0.18/0.40 RuleSystem INPUT:
% 0.18/0.40
% 0.18/0.40 Initial Rules:
% 0.18/0.40 #0: input, references = 4, size of lhs = 2:
% 0.18/0.40 P_m-{F}(V1), P_n-{F}(V1) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #1: input, references = 3, size of lhs = 3:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V2), P_k-{F}(V2) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #2: input, references = 4, size of lhs = 3:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V0) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #3: input, references = 6, size of lhs = 6:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_f-{F}(V3,V0), element-{F}(V3,V0), V3 == V0 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #4: input, references = 3, size of lhs = 6:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_f-{F}(V3,V3), element-{F}(V3,V0), V3 == V0 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #5: input, references = 4, size of lhs = 6:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_f-{F}(V3,V4), element-{F}(V3,V0), V3 == V0 | element-{T}(V3,V4)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #6: input, references = 4, size of lhs = 6:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_f-{F}(V3,V4), element-{F}(V3,V0), V3 == V0 | element-{T}(V4,V3)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #7: input, references = 8, size of lhs = 8:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), element-{F}(V3,V4), element-{F}(V4,V3), V3 == V0, V4 == V0, V4 == V3 | element-{T}(V3,V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #8: input, references = 4, size of lhs = 5:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_g-{F}(V3,V1), V3 == V1 | element-{T}(V3,V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #9: input, references = 4, size of lhs = 5:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_g-{F}(V3,V3), V3 == V1 | element-{T}(V3,V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #10: input, references = 4, size of lhs = 5:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_g-{F}(V3,V4), V3 == V1 | element-{T}(V3,V1), element-{T}(V3,V4)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #11: input, references = 5, size of lhs = 5:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_g-{F}(V3,V4), V3 == V1 | element-{T}(V3,V1), element-{T}(V4,V3)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #12: input, references = 8, size of lhs = 9:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), element-{F}(V3,V1), element-{F}(V3,V4), element-{F}(V4,V3), V3 == V1, V4 == V1, V4 == V3 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #13: input, references = 4, size of lhs = 4:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), V0 == V2 | element-{T}(V0,V2)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #14: input, references = 4, size of lhs = 4:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), V1 == V2 | element-{T}(V1,V2)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #15: input, references = 4, size of lhs = 7:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), element-{F}(V3,V2), V3 == V2, V3 == V0, V3 == V1 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #16: input, references = 4, size of lhs = 0:
% 0.18/0.40 FALSE | EXISTS V0: P_m-{T}(V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #17: input, references = 4, size of lhs = 0:
% 0.18/0.40 FALSE | EXISTS V0: P_n-{T}(V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #18: input, references = 4, size of lhs = 0:
% 0.18/0.40 FALSE | EXISTS V0: P_k-{T}(V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #19: input, references = 4, size of lhs = 1:
% 0.18/0.40 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #20: input, references = 4, size of lhs = 1:
% 0.18/0.40 #-{F} V0 | EXISTS V1: P_g-{T}(V0,V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 number of initial rules = 21
% 0.18/0.40
% 0.18/0.40 Simplifiers:
% 0.18/0.40 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 P_m-{F}(V0), P_m-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 P_k-{F}(V0), P_k-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 P_g-{F}(V0,V1), P_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 number of simplifiers = 5
% 0.18/0.40
% 0.18/0.40 Learnt:
% 0.18/0.40 #33: mergings( V2 == V5, V3 == V6, V4 == V0; #29 ), references = 1, size of lhs = 5:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), V2 == V0, element-{F}(V2,V0) | P_f-{T}(V2,V2), P_f-{T}(V2,V0), P_f-{T}(V2,V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #47: mergings( V0 == V3, V3 == V6, V6 == V9, V9 == V12, V1 == V7, V7 == V10, V10 == V4, V2 == V5, V5 == V8, V8 == V11, V11 == V13; #35 ), references = 2, size of lhs = 10:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), V2 == V0, V2 == V1, element-{F}(V2,V0), element-{F}(V2,V3), V3 == V1, V3 == V2, element-{F}(V3,V2) | P_f-{T}(V2,V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #63: mergings( V0 == V11, V11 == V3, V1 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V2 == V6, V6 == V4, V4 == V8, V8 == V10, V10 == V13, V13 == V15; #49 ), references = 1, size of lhs = 8:
% 0.18/0.40 P_m-{F}(V0), P_g-{F}(V0,V1), V1 == V0, element-{F}(V0,V1), P_k-{F}(V1), P_n-{F}(V2), V1 == V2, V0 == V2 | element-{T}(V0,V2)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #73: mergings( V0 == V5, V5 == V8, V6 == V1, V2 == V7, V7 == V9; #66 ), references = 2, size of lhs = 9:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), V1 == V0, P_k-{F}(V2), element-{F}(V0,V3), V0 == V3, V1 == V3, element-{F}(V1,V3), P_g-{F}(V3,V4) | element-{T}(V3,V4)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #79: mergings( V0 == V7, V1 == V5, V5 == V8, V2 == V6, V6 == V9; #67 ), references = 1, size of lhs = 9:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), V1 == V0, P_k-{F}(V2), element-{F}(V1,V3), V3 == V0, V1 == V3, P_f-{F}(V3,V0), P_g-{F}(V3,V4) | element-{T}(V3,V4)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #85: mergings( V0 == V5, V1 == V6, V2 == V3; #80 ), references = 1, size of lhs = 8:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), V2 == V1, P_g-{F}(V2,V3), V3 == V2, V3 == V0, V3 == V1 | element-{T}(V2,V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #89: mergings( V0 == V5, V1 == V6, V2 == V7; #81 ), references = 1, size of lhs = 9:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), element-{F}(V3,V1), V3 == V1, P_g-{F}(V4,V3), V4 == V1, V4 == V3, element-{F}(V4,V3) | element-{T}(V4,V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #104: mergings( V2 == V4, V4 == V6, V6 == V9, V5 == V7, V7 == V10, V3 == V0, V0 == V8, V8 == V11; #94 ), references = 1, size of lhs = 8:
% 0.18/0.40 P_m-{F}(V0), element-{F}(V0,V1), V0 == V1, P_k-{F}(V1), P_n-{F}(V2), V2 == V0, V2 == V1, element-{F}(V2,V1) | P_g-{T}(V1,V1), P_g-{T}(V1,V0), P_g-{T}(V1,V2)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #132: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V2, V3 == V6, V6 == V9, V9 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V23, V1 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24; #109 ), references = 1, size of lhs = 8:
% 0.18/0.40 P_m-{F}(V0), element-{F}(V0,V1), V1 == V0, P_k-{F}(V1), P_n-{F}(V2), V1 == V2, V0 == V2, element-{F}(V2,V1) | P_g-{T}(V1,V2)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #152: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V14, V1 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V15; #138 ), references = 1, size of lhs = 3:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), V1 == V0 | P_k-{T}(V1), P_k-{T}(V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #169: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V16, V0 == V3, V3 == V6, V6 == V9, V9 == V12, V12 == V8, V8 == V14; #153 ), references = 1, size of lhs = 3:
% 0.18/0.40 P_m-{F}(V0), P_n-{F}(V1), V1 == V0 | P_k-{T}(V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #181: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #171 ), references = 1, size of lhs = 1:
% 0.18/0.40 P_m-{F}(V0) | P_n-{T}(V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #184: exists( #16, #182 ), references = 1, size of lhs = 0:
% 0.18/0.40 FALSE | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 number of learnt formulas = 13
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40
% 0.18/0.40 randbase = 1
%------------------------------------------------------------------------------