TSTP Solution File: SYN575-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:24:59 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 03:21:00 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/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation for /export/starexec/sandbox2/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 = 1:
% 0.18/0.51 #-{F} V0 | p10-{T}(V0,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #1: input, references = 4, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | p7-{T}(V0,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #2: input, references = 4, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | p3-{T}(V0,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #3: input, references = 4, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | p2-{T}(V0,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #4: input, references = 4, size of lhs = 2:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1) | p9-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #5: input, references = 4, size of lhs = 4:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3) | p11-{T}(V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #6: input, references = 3, size of lhs = 7:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f5-{F}(V4,V5), P_f4-{F}(V5,V6), P_f4-{F}(V4,V7) | p3-{T}(V6,V7)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #7: input, references = 4, size of lhs = 7:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f5-{F}(V4,V5), P_f6-{F}(V5,V6), P_f6-{F}(V4,V7) | p3-{T}(V6,V7)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #8: input, references = 4, size of lhs = 6:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), p9-{F}(V5,V4) | p9-{T}(V5,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #9: input, references = 5, size of lhs = 6:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), p9-{F}(V5,V1) | p9-{T}(V5,V4)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #10: input, references = 3, size of lhs = 8:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), P_f5-{F}(V5,V7), P_f5-{F}(V6,V8), p2-{F}(V5,V6) | p2-{T}(V7,V8)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #11: input, references = 3, size of lhs = 8:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), P_f6-{F}(V5,V7), P_f6-{F}(V6,V8), p2-{F}(V5,V6) | p3-{T}(V7,V8)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #12: input, references = 3, size of lhs = 8:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), P_f4-{F}(V5,V7), P_f4-{F}(V6,V8), p2-{F}(V5,V6) | p3-{T}(V7,V8)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #13: input, references = 3, size of lhs = 7:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), p10-{F}(V7,V5), p10-{F}(V7,V6) | p10-{T}(V5,V6)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #14: input, references = 3, size of lhs = 7:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), p7-{F}(V7,V5), p7-{F}(V7,V6) | p7-{T}(V5,V6)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #15: input, references = 4, size of lhs = 7:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), p3-{F}(V7,V5), p3-{F}(V7,V6) | p3-{T}(V5,V6)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #16: input, references = 3, size of lhs = 7:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), p2-{F}(V7,V5), p2-{F}(V7,V6) | p2-{T}(V5,V6)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #17: input, references = 3, size of lhs = 8:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), p11-{F}(V5,V6), p10-{F}(V6,V7), p2-{F}(V5,V8) | p11-{T}(V8,V7)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #18: input, references = 5, size of lhs = 8:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), p9-{F}(V5,V6), p3-{F}(V6,V7), p7-{F}(V5,V8) | p9-{T}(V8,V7)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #19: input, references = 3, size of lhs = 9:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), p2-{F}(V5,V6), P_f8-{F}(V8,V5,V9), P_f8-{F}(V7,V6,V10), p3-{F}(V8,V7) | p7-{T}(V9,V10)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #20: input, references = 5, size of lhs = 11:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), P_f6-{F}(V5,V6), P_f5-{F}(V7,V8), p11-{F}(V7,V3), p2-{F}(V5,V8), P_f8-{F}(V9,V5,V10), p9-{F}(V0,V9) | p9-{T}(V10,V9), p9-{T}(V10,V6)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #21: input, references = 7, size of lhs = 13:
% 0.18/0.51 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_f6-{F}(V2,V4), P_f6-{F}(V5,V6), P_f5-{F}(V7,V8), p11-{F}(V7,V3), p2-{F}(V5,V8), P_f8-{F}(V9,V5,V10), p9-{F}(V0,V9), p9-{F}(V10,V9), p9-{F}(V10,V6) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #22: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_c12-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #23: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_c13-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #24: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_c14-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #25: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_c15-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #26: input, references = 3, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #27: input, references = 4, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #28: input, references = 5, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #29: input, references = 5, size of lhs = 2:
% 0.18/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of initial rules = 30
% 0.18/0.51
% 0.18/0.51 Simplifiers:
% 0.18/0.51 #30: unsound, references = 3, size of lhs = 2:
% 0.18/0.51 p10-{F}(V0,V1), V1 == V0 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 p11-{F}(V0,V1), p11-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_c12-{F}(V0), P_c12-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_c13-{F}(V0), P_c13-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_c14-{F}(V0), P_c14-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_c15-{F}(V0), P_c15-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_f8-{F}(V0,V1,V2), P_f8-{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 = 10
% 0.18/0.51
% 0.18/0.51 Learnt:
% 0.18/0.51 #58: mergings( V3 == V18, V0 == V11, V11 == V15, V1 == V12, V12 == V16, V2 == V13, V13 == V17, V14 == V18, V4 == V9, V9 == V19; #47 ), references = 1, size of lhs = 16:
% 0.18/0.51 P_c12-{F}(V0), p9-{F}(V0,V1), P_c13-{F}(V2), P_c14-{F}(V3), P_f6-{F}(V3,V1), P_c15-{F}(V4), p11-{F}(V5,V4), P_f5-{F}(V5,V6), p2-{F}(V7,V6), P_f6-{F}(V7,V8), P_f8-{F}(V1,V7,V9), P_f6-{F}(V10,V2), P_f8-{F}(V1,V10,V9), p11-{F}(V11,V4), P_f5-{F}(V11,V12), p2-{F}(V10,V12) | p9-{T}(V9,V8)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #81: mergings( V6 == V18, V18 == V28, V3 == V11, V11 == V15, V15 == V22, V22 == V25, V4 == V10, V10 == V12, V12 == V16, V16 == V26, V5 == V13, V13 == V17, V17 == V23, V23 == V27, V14 == V24, V24 == V28, V7 == V19, V19 == V0, V0 == V29; #61 ), references = 1, size of lhs = 16:
% 0.18/0.51 P_c12-{F}(V0), p9-{F}(V0,V1), P_c13-{F}(V2), P_f6-{F}(V3,V2), p2-{F}(V3,V4), P_f5-{F}(V5,V4), p11-{F}(V5,V6), P_c15-{F}(V6), p11-{F}(V7,V6), P_f5-{F}(V7,V8), p2-{F}(V3,V8), P_c14-{F}(V9), P_f6-{F}(V9,V1), p11-{F}(V10,V6), P_f5-{F}(V10,V11), p2-{F}(V3,V11) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #101: mergings( V3 == V19, V0 == V11, V11 == V16, V1 == V12, V12 == V17, V2 == V13, V13 == V18, V14 == V19, V4 == V15, V15 == V20; #90 ), references = 2, size of lhs = 18:
% 0.18/0.51 P_c12-{F}(V0), p9-{F}(V0,V1), P_c13-{F}(V2), P_c14-{F}(V3), P_c15-{F}(V4), p11-{F}(V5,V4), P_f5-{F}(V5,V6), p2-{F}(V7,V6), P_f6-{F}(V7,V8), P_f8-{F}(V1,V7,V9), p7-{F}(V9,V9), P_f6-{F}(V3,V10), p11-{F}(V11,V4), P_f5-{F}(V11,V12), p2-{F}(V13,V12), P_f8-{F}(V1,V13,V9), P_f6-{F}(V13,V14), p3-{F}(V1,V14) | p9-{T}(V9,V8)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #119: mergings( V6 == V22, V3 == V14, V14 == V19, V4 == V15, V15 == V20, V5 == V16, V16 == V21, V17 == V22, V10 == V18, V13 == V9, V18 == V23; #107 ), references = 1, size of lhs = 18:
% 0.18/0.51 P_c12-{F}(V0), p9-{F}(V0,V1), p3-{F}(V1,V2), p3-{F}(V2,V1), P_c13-{F}(V3), P_c14-{F}(V4), P_c15-{F}(V5), p11-{F}(V6,V5), P_f5-{F}(V6,V7), p2-{F}(V8,V7), P_f6-{F}(V8,V2), p11-{F}(V9,V5), P_f5-{F}(V9,V10), p2-{F}(V8,V10), P_f6-{F}(V4,V11), p11-{F}(V12,V5), P_f5-{F}(V12,V13), p2-{F}(V8,V13) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #143: mergings( V16 == V30, V2 == V6, V6 == V11, V11 == V22, V22 == V27, V3 == V7, V7 == V14, V14 == V23, V23 == V28, V4 == V8, V8 == V15, V15 == V24, V24 == V29, V5 == V9, V9 == V25, V25 == V30, V10 == V19, V19 == V26, V26 == V31; #123 ), references = 1, size of lhs = 17:
% 0.18/0.51 P_c12-{F}(V0), p9-{F}(V0,V1), P_f6-{F}(V2,V1), P_f5-{F}(V2,V3), p2-{F}(V3,V4), P_f5-{F}(V5,V4), p11-{F}(V5,V6), P_c15-{F}(V6), p11-{F}(V7,V6), P_f5-{F}(V7,V8), p2-{F}(V3,V8), P_c13-{F}(V9), P_c14-{F}(V10), P_f6-{F}(V10,V11), p11-{F}(V12,V6), P_f5-{F}(V12,V13), p2-{F}(V3,V13) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #161: mergings( V14 == V24, V2 == V5, V5 == V9, V9 == V19, V19 == V22, V3 == V6, V6 == V10, V10 == V13, V13 == V20, V20 == V23, V7 == V0, V4 == V8, V8 == V11, V11 == V21, V21 == V24; #145 ), references = 2, size of lhs = 15:
% 0.18/0.51 P_c12-{F}(V0), p9-{F}(V0,V1), P_c13-{F}(V1), P_c14-{F}(V2), P_f5-{F}(V2,V3), p2-{F}(V3,V4), P_f5-{F}(V5,V4), p11-{F}(V5,V6), P_c15-{F}(V6), p11-{F}(V7,V6), P_f5-{F}(V7,V8), p2-{F}(V3,V8), p11-{F}(V9,V6), P_f5-{F}(V9,V10), p2-{F}(V3,V10) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #164: exists( #27, #162 ), references = 1, size of lhs = 6:
% 0.18/0.51 P_c12-{F}(V0), p9-{F}(V0,V1), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), p11-{F}(V2,V3) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #169: mergings( V1 == V3, V2 == V4; #166 ), references = 1, size of lhs = 4:
% 0.18/0.51 P_c12-{F}(V0), p9-{F}(V0,V1), P_c13-{F}(V1), P_c14-{F}(V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #173: mergings( V1 == V3, V2 == V4; #170 ), references = 1, size of lhs = 3:
% 0.18/0.51 P_c12-{F}(V0), p9-{F}(V0,V1), P_c13-{F}(V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #177: mergings( V1 == V2; #175 ), references = 1, size of lhs = 1:
% 0.18/0.51 P_c12-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #179: exists( #22, #175 ), 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 = 11
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 randbase = 1
%------------------------------------------------------------------------------