TSTP Solution File: SYN568-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 03:29:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/0.64 GeoParameters:
% 0.47/0.64
% 0.47/0.64 tptp_input = 1
% 0.47/0.64 tptp_output = 0
% 0.47/0.64 nonempty = 1
% 0.47/0.64 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 RuleSystem INPUT:
% 0.47/0.64
% 0.47/0.64 Initial Rules:
% 0.47/0.64 #0: input, references = 3, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | p2-{T}(V0,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #1: input, references = 3, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | p3-{T}(V0,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #2: input, references = 6, size of lhs = 5:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), p11-{F}(V1,V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #3: input, references = 7, size of lhs = 8:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f9-{F}(V7,V8) | p11-{T}(V6,V8)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #4: input, references = 6, size of lhs = 9:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), #-{F} V7, #-{F} V8 | p10-{T}(V7,V8), p11-{T}(V8,V7)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #5: input, references = 4, size of lhs = 9:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), p10-{F}(V7,V8), p11-{F}(V8,V7) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #6: input, references = 5, size of lhs = 11:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), p3-{F}(V9,V5) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #7: input, references = 3, size of lhs = 13:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), P_f8-{F}(V10,V12), P_f8-{F}(V11,V13), p3-{F}(V10,V11) | p3-{T}(V12,V13)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #8: input, references = 3, size of lhs = 13:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), P_f5-{F}(V10,V12), P_f5-{F}(V11,V13), p3-{F}(V10,V11) | p2-{T}(V12,V13)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #9: input, references = 3, size of lhs = 13:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), P_f9-{F}(V10,V12), P_f9-{F}(V11,V13), p2-{F}(V10,V11) | p2-{T}(V12,V13)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #10: input, references = 3, size of lhs = 13:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), P_f6-{F}(V10,V12), P_f6-{F}(V11,V13), p3-{F}(V10,V11) | p3-{T}(V12,V13)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #11: input, references = 3, size of lhs = 13:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), P_f7-{F}(V10,V12), P_f7-{F}(V11,V13), p3-{F}(V10,V11) | p3-{T}(V12,V13)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #12: input, references = 3, size of lhs = 12:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), p2-{F}(V12,V10), p2-{F}(V12,V11) | p2-{T}(V10,V11)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #13: input, references = 3, size of lhs = 12:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), p3-{F}(V12,V10), p3-{F}(V12,V11) | p3-{T}(V10,V11)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #14: input, references = 3, size of lhs = 13:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), p10-{F}(V10,V11), p2-{F}(V11,V12), p2-{F}(V10,V13) | p10-{T}(V13,V12)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #15: input, references = 3, size of lhs = 13:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), p11-{F}(V10,V11), p2-{F}(V11,V12), p2-{F}(V10,V13) | p11-{T}(V13,V12)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #16: input, references = 3, size of lhs = 14:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), p3-{F}(V10,V11), P_f4-{F}(V13,V10,V14), P_f4-{F}(V12,V11,V15), p2-{F}(V13,V12) | p2-{T}(V14,V15)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #17: input, references = 5, size of lhs = 12:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), P_f4-{F}(V1,V9,V10), P_f4-{F}(V3,V9,V11) | p11-{T}(V10,V11)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #18: input, references = 4, size of lhs = 16:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), P_f4-{F}(V1,V9,V10), P_f4-{F}(V3,V9,V11), p11-{F}(V6,V12), p11-{F}(V12,V13), P_f4-{F}(V12,V14,V15), P_f4-{F}(V13,V14,V16) | p11-{T}(V15,V16)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #19: input, references = 4, size of lhs = 16:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f8-{F}(V4,V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), P_f4-{F}(V1,V9,V10), P_f4-{F}(V3,V9,V11), p11-{F}(V6,V12), p10-{F}(V12,V13), P_f4-{F}(V12,V14,V15), P_f4-{F}(V13,V14,V16) | p3-{T}(V14,V5), p10-{T}(V15,V16)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #20: input, references = 6, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_f9-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #21: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_c13-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #22: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_c14-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #23: input, references = 6, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #24: input, references = 8, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #25: input, references = 5, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_c12-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #26: input, references = 5, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_f7-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #27: input, references = 5, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_f8-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #28: input, references = 7, size of lhs = 2:
% 0.47/0.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_f4-{T}(V0,V1,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of initial rules = 29
% 0.47/0.64
% 0.47/0.64 Simplifiers:
% 0.47/0.64 #29: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_f9-{F}(V0,V1), P_f9-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #30: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_c13-{F}(V0), P_c13-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #31: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_c14-{F}(V0), P_c14-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #32: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #33: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #34: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_c12-{F}(V0), P_c12-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #35: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_f7-{F}(V0,V1), P_f7-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #36: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_f8-{F}(V0,V1), P_f8-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #37: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_f4-{F}(V0,V1,V2), P_f4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of simplifiers = 9
% 0.47/0.64
% 0.47/0.64 Learnt:
% 0.47/0.64 #49: mergings( V3 == V12, V0 == V13, V4 == V14, V13 == V15, V5 == V16, V6 == V17, V7 == V18; #41 ), references = 1, size of lhs = 15:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V1), P_c12-{F}(V3), P_f8-{F}(V3,V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f6-{F}(V3,V7), P_f5-{F}(V7,V8), p11-{F}(V8,V9), p11-{F}(V9,V10), P_f4-{F}(V9,V11,V12), P_f4-{F}(V10,V11,V13), p10-{F}(V13,V12) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #58: mergings( V0 == V9, V1 == V10, V2 == V11, V3 == V10, V4 == V12, V5 == V16, V6 == V17; #50 ), references = 2, size of lhs = 14:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V1), P_c12-{F}(V3), P_f8-{F}(V3,V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f6-{F}(V3,V7), P_f5-{F}(V7,V8), p11-{F}(V8,V9), p11-{F}(V9,V10), P_f4-{F}(V9,V11,V12), P_f4-{F}(V10,V11,V13) | p11-{T}(V12,V13)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #65: mergings( V2 == V11, V3 == V12, V4 == V15, V12 == V14; #60 ), references = 1, size of lhs = 13:
% 0.47/0.64 P_c12-{F}(V0), P_f8-{F}(V0,V1), P_f7-{F}(V1,V2), P_f6-{F}(V0,V3), P_f5-{F}(V3,V4), p11-{F}(V4,V5), p11-{F}(V5,V6), P_c13-{F}(V7), P_f9-{F}(V7,V8), P_f4-{F}(V5,V9,V8), P_f4-{F}(V6,V9,V8), P_c14-{F}(V10), P_f9-{F}(V10,V8) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #81: mergings( V0 == V17, V1 == V18, V2 == V19, V3 == V18, V4 == V20, V5 == V24, V6 == V25, V7 == V21, V8 == V22, V9 == V23, V10 == V11; #68 ), references = 2, size of lhs = 19:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V1), P_c12-{F}(V3), P_f8-{F}(V3,V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f4-{F}(V1,V6,V7), P_f6-{F}(V3,V8), P_f5-{F}(V8,V9), p11-{F}(V9,V10), p10-{F}(V10,V11), p11-{F}(V9,V12), p11-{F}(V12,V13), P_f4-{F}(V10,V14,V15), P_f4-{F}(V11,V14,V16), P_f4-{F}(V12,V17,V16), P_f4-{F}(V13,V17,V15) | p3-{T}(V14,V8)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #89: mergings( V0 == V17, V1 == V18, V2 == V19, V3 == V20, V4 == V21, V5 == V22, V6 == V23; #69 ), references = 2, size of lhs = 17:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f8-{F}(V4,V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f4-{F}(V1,V7,V8), P_f4-{F}(V3,V7,V9), P_f6-{F}(V4,V10), P_f5-{F}(V10,V11), p11-{F}(V11,V12), p10-{F}(V12,V13), P_f4-{F}(V12,V14,V15), P_f4-{F}(V13,V14,V16), p11-{F}(V16,V15) | p3-{T}(V14,V10)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #109: mergings( V0 == V9, V1 == V10, V9 == V21, V10 == V22, V2 == V11, V3 == V22, V11 == V23, V22 == V24, V18 == V26, V4 == V12, V5 == V17, V6 == V26, V12 == V25, V13 == V27, V14 == V28, V15 == V29; #92 ), references = 1, size of lhs = 18:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V1), P_c12-{F}(V3), P_f6-{F}(V3,V4), P_f5-{F}(V4,V5), p11-{F}(V5,V6), p11-{F}(V5,V7), p11-{F}(V7,V8), P_f8-{F}(V3,V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V11), P_f4-{F}(V1,V11,V12), P_f4-{F}(V6,V11,V13), P_f4-{F}(V8,V14,V13), P_f4-{F}(V7,V14,V15), P_f4-{F}(V16,V11,V15) | p11-{T}(V16,V6)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #128: mergings( V0 == V9, V1 == V10, V9 == V21, V10 == V22, V2 == V11, V3 == V12, V11 == V23, V12 == V24, V20 == V26, V4 == V13, V5 == V19, V6 == V26, V13 == V25, V14 == V27, V15 == V28, V16 == V29; #111 ), references = 2, size of lhs = 16:
% 0.47/0.64 P_c13-{F}(V0), P_f9-{F}(V0,V1), P_c14-{F}(V2), P_f9-{F}(V2,V3), P_c12-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), p11-{F}(V6,V7), P_f8-{F}(V4,V8), P_f7-{F}(V8,V9), P_f6-{F}(V9,V10), P_f4-{F}(V1,V10,V11), P_f4-{F}(V3,V10,V12), P_f4-{F}(V7,V10,V13), p11-{F}(V14,V13), P_f4-{F}(V15,V10,V14) | p11-{T}(V15,V7)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #159: mergings( V3 == V10, V0 == V11, V10 == V17, V17 == V24, V11 == V25, V24 == V32, V4 == V12, V25 == V13, V12 == V18, V18 == V26, V13 == V27, V26 == V33, V23 == V29, V5 == V14, V6 == V15, V7 == V16, V14 == V19, V15 == V22, V16 == V29, V19 == V28, V8 == V20, V9 == V21, V20 == V30, V21 == V31; #133 ), references = 1, size of lhs = 11:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f5-{F}(V1,V2), p11-{F}(V2,V3), P_f8-{F}(V0,V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_c13-{F}(V7), P_f9-{F}(V7,V3), P_c14-{F}(V8), P_f9-{F}(V8,V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #183: mergings( V2 == V9, V3 == V10, V9 == V16, V16 == V22, V10 == V23, V22 == V29, V4 == V11, V23 == V12, V11 == V17, V17 == V24, V12 == V25, V24 == V30, V21 == V27, V5 == V13, V6 == V14, V7 == V15, V13 == V18, V14 == V20, V15 == V27, V18 == V26, V8 == V19, V19 == V28; #160 ), references = 2, size of lhs = 10:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f5-{F}(V1,V2), p11-{F}(V2,V3), P_f8-{F}(V0,V4), P_f7-{F}(V4,V5), P_c13-{F}(V6), P_f9-{F}(V6,V3), P_c14-{F}(V7), P_f9-{F}(V7,V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #205: mergings( V2 == V8, V3 == V9, V8 == V15, V15 == V20, V9 == V21, V20 == V26, V4 == V10, V21 == V11, V10 == V16, V16 == V22, V11 == V23, V22 == V27, V19 == V25, V5 == V12, V6 == V13, V7 == V14, V12 == V17, V13 == V18, V14 == V25, V17 == V24; #184 ), references = 2, size of lhs = 9:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f8-{F}(V0,V2), P_f5-{F}(V1,V3), p11-{F}(V3,V4), P_c13-{F}(V5), P_f9-{F}(V5,V4), P_c14-{F}(V6), P_f9-{F}(V6,V4) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #218: mergings( V4 == V15, V2 == V5, V3 == V6, V15 == V7, V5 == V9, V6 == V10, V7 == V11, V9 == V12, V10 == V13, V12 == V14; #207 ), references = 1, size of lhs = 6:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f8-{F}(V0,V2), P_f5-{F}(V1,V3), P_c13-{F}(V4), P_c14-{F}(V4) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #228: mergings( V4 == V11, V5 == V10, V6 == V11, V2 == V7, V3 == V8, V11 == V9, V7 == V0, V8 == V10; #219 ), references = 2, size of lhs = 5:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f5-{F}(V1,V2), P_c13-{F}(V3), P_c14-{F}(V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #231: exists( #23, #228 ), references = 1, size of lhs = 4:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_c13-{F}(V2), P_c14-{F}(V2) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #233: exists( #24, #229 ), references = 1, size of lhs = 3:
% 0.47/0.64 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #235: exists( #25, #232 ), references = 1, size of lhs = 2:
% 0.47/0.64 P_c13-{F}(V0), P_c14-{F}(V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #246: mergings( V2 == V9, V3 == V10, V4 == V12, V5 == V10, V6 == V7; #239 ), references = 1, size of lhs = 8:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f8-{F}(V0,V2), P_c13-{F}(V3), P_f9-{F}(V3,V4), P_f9-{F}(V5,V4), P_c14-{F}(V6), P_f9-{F}(V6,V4) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #252: mergings( V2 == V10, V3 == V11, V4 == V13, V5 == V11, V6 == V7; #240 ), references = 1, size of lhs = 9:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f8-{F}(V0,V2), P_f7-{F}(V2,V3), P_c13-{F}(V4), P_f9-{F}(V4,V5), P_f9-{F}(V6,V5), P_c14-{F}(V7), P_f9-{F}(V7,V5) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #269: mergings( V3 == V12, V4 == V13, V12 == V21, V13 == V22, V5 == V14, V14 == V23, V6 == V15, V7 == V16, V8 == V17, V9 == V18, V10 == V19, V20 == V11; #256 ), references = 2, size of lhs = 12:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f5-{F}(V1,V2), p11-{F}(V2,V3), P_f8-{F}(V0,V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_c13-{F}(V7), P_f9-{F}(V7,V8), P_f4-{F}(V8,V6,V9), P_c14-{F}(V10), P_f9-{F}(V10,V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #271: exists( #28, #269 ), references = 1, size of lhs = 11:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f5-{F}(V1,V2), p11-{F}(V2,V3), P_f8-{F}(V0,V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_c13-{F}(V7), P_f9-{F}(V7,V8), P_c14-{F}(V9), P_f9-{F}(V9,V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #273: exists( #24, #270 ), references = 1, size of lhs = 10:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f5-{F}(V1,V2), p11-{F}(V2,V3), P_f8-{F}(V0,V4), P_f7-{F}(V4,V5), P_c13-{F}(V6), P_f9-{F}(V6,V7), P_c14-{F}(V8), P_f9-{F}(V8,V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #281: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V7; #275 ), references = 1, size of lhs = 9:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f8-{F}(V0,V2), P_f7-{F}(V2,V3), P_c13-{F}(V4), P_f9-{F}(V4,V5), P_c14-{F}(V6), P_f9-{F}(V6,V7), P_f9-{F}(V8,V7) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #286: mergings( V2 == V9, V3 == V10, V4 == V6; #282 ), references = 2, size of lhs = 7:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f8-{F}(V0,V2), P_f7-{F}(V2,V3), P_c13-{F}(V4), P_f9-{F}(V4,V5), P_c14-{F}(V6) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #290: exists( #26, #286 ), references = 1, size of lhs = 6:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_f8-{F}(V0,V2), P_c13-{F}(V3), P_f9-{F}(V3,V4), P_c14-{F}(V5) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #292: exists( #27, #287 ), references = 1, size of lhs = 5:
% 0.47/0.64 P_c12-{F}(V0), P_f6-{F}(V0,V1), P_c13-{F}(V2), P_f9-{F}(V2,V3), P_c14-{F}(V4) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #294: exists( #24, #291 ), references = 1, size of lhs = 4:
% 0.47/0.64 P_c12-{F}(V0), P_c13-{F}(V1), P_f9-{F}(V1,V2), P_c14-{F}(V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #296: exists( #20, #293 ), references = 1, size of lhs = 3:
% 0.47/0.64 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #298: exists( #25, #295 ), references = 1, size of lhs = 2:
% 0.47/0.64 P_c13-{F}(V0), P_c14-{F}(V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #300: exists( #22, #297 ), references = 1, size of lhs = 1:
% 0.47/0.64 P_c13-{F}(V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #302: exists( #21, #299 ), references = 1, size of lhs = 0:
% 0.47/0.64 FALSE | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of learnt formulas = 29
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 randbase = 1
%------------------------------------------------------------------------------