TSTP Solution File: SYN328-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN328-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:24:22 EDT 2022
% Result : Unsatisfiable 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN328-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 03:27:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/0.78 GeoParameters:
% 0.60/0.78
% 0.60/0.78 tptp_input = 1
% 0.60/0.78 tptp_output = 0
% 0.60/0.78 nonempty = 1
% 0.60/0.78 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.78 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.60/0.78
% 0.60/0.78
% 0.60/0.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.78 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.78
% 0.60/0.78 RuleSystem INPUT:
% 0.60/0.78
% 0.60/0.78 Initial Rules:
% 0.60/0.78 #0: input, references = 16, size of lhs = 3:
% 0.60/0.78 P_y-{F}(V0,V1), f-{F}(V1), f-{F}(V0) | g-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #1: input, references = 13, size of lhs = 1:
% 0.60/0.78 P_y-{F}(V0,V1) | f-{T}(V1), f-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #2: input, references = 20, size of lhs = 2:
% 0.60/0.78 P_y-{F}(V0,V1), g-{F}(V1) | f-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #3: input, references = 21, size of lhs = 3:
% 0.60/0.78 P_y-{F}(V0,V1), f-{F}(V1), g-{F}(V0) | h-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #4: input, references = 6, size of lhs = 1:
% 0.60/0.78 P_y-{F}(V0,V1) | f-{T}(V1), g-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #5: input, references = 23, size of lhs = 2:
% 0.60/0.78 P_y-{F}(V0,V1), h-{F}(V1) | g-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #6: input, references = 3, size of lhs = 2:
% 0.60/0.78 P_y-{F}(V0,V1), h-{F}(V0) | f-{T}(V1), h-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #7: input, references = 4, size of lhs = 3:
% 0.60/0.78 P_y-{F}(V0,V1), g-{F}(V1), h-{F}(V0) | h-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #8: input, references = 12, size of lhs = 2:
% 0.60/0.78 P_y-{F}(V0,V1), f-{F}(V1) | g-{T}(V1), h-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #9: input, references = 37, size of lhs = 2:
% 0.60/0.78 P_y-{F}(V0,V1), h-{F}(V1) | h-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #10: input, references = 22, size of lhs = 4:
% 0.60/0.78 P_z-{F}(V0,V1), f-{F}(V1), g-{F}(V1), h-{F}(V1) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #11: input, references = 14, size of lhs = 1:
% 0.60/0.78 #-{F} V0 | EXISTS V1: P_y-{T}(V0,V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #12: input, references = 4, size of lhs = 1:
% 0.60/0.78 #-{F} V0 | EXISTS V1: P_z-{T}(V0,V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 number of initial rules = 13
% 0.60/0.78
% 0.60/0.78 Simplifiers:
% 0.60/0.78 #13: unsound, references = 3, size of lhs = 3:
% 0.60/0.78 P_y-{F}(V0,V1), P_y-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #14: unsound, references = 3, size of lhs = 3:
% 0.60/0.78 P_z-{F}(V0,V1), P_z-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 number of simplifiers = 2
% 0.60/0.78
% 0.60/0.78 Learnt:
% 0.60/0.78 #22: disj( #8, #9+#5+#9+#10 ), references = 2, size of lhs = 6:
% 0.60/0.78 f-{F}(V0), f-{F}(V1), P_y-{F}(V1,V2), P_y-{F}(V2,V3), P_y-{F}(V3,V0), P_z-{F}(V4,V1) | g-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #34: mergings( V1 == V2, V2 == V4; #31 ), references = 1, size of lhs = 5:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), P_y-{F}(V2,V0), P_z-{F}(V3,V2) | g-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #48: disj( #8, #9+#10 ), references = 4, size of lhs = 6:
% 0.60/0.78 f-{F}(V0), f-{F}(V1), g-{F}(V1), P_y-{F}(V1,V2), P_y-{F}(V2,V0), P_z-{F}(V3,V1) | g-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #57: disj( #8, #2+#0+#3+#10 ), references = 2, size of lhs = 8:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V1,V0), f-{F}(V2), P_y-{F}(V2,V3), P_y-{F}(V3,V0), g-{F}(V4), P_y-{F}(V4,V3), P_z-{F}(V5,V3) | h-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #85: disj( #1, #0+#3+#10 ), references = 1, size of lhs = 5:
% 0.60/0.78 g-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V1), P_y-{F}(V2,V1), P_z-{F}(V3,V1) | f-{T}(V2)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #101: disj( #1, #3+#0+#10 ), references = 2, size of lhs = 6:
% 0.60/0.78 g-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), f-{F}(V3), P_y-{F}(V3,V1), P_z-{F}(V4,V1) | f-{T}(V2)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #111: mergings( V9 == V11; #109 ), references = 1, size of lhs = 15:
% 0.60/0.78 g-{F}(V0), P_y-{F}(V0,V1), f-{F}(V2), P_y-{F}(V2,V1), P_z-{F}(V3,V1), f-{F}(V4), P_y-{F}(V4,V1), g-{F}(V5), P_y-{F}(V5,V1), P_z-{F}(V6,V1), h-{F}(V7), P_y-{F}(V7,V8), P_y-{F}(V8,V9), P_y-{F}(V9,V1), P_z-{F}(V10,V7) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #123: disj( #1, #3+#9+#5+#9+#10 ), references = 1, size of lhs = 7:
% 0.60/0.78 g-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V2,V1), f-{F}(V3), P_y-{F}(V3,V4), P_y-{F}(V4,V1), P_z-{F}(V5,V3) | f-{T}(V2)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #137: mergings( V4 == V6; #135 ), references = 1, size of lhs = 8:
% 0.60/0.78 g-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V2,V1), h-{F}(V3), P_y-{F}(V3,V4), P_y-{F}(V4,V5), P_y-{F}(V5,V1), P_z-{F}(V6,V3) | f-{T}(V2)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #161: disj( #1, #3+#9+#10 ), references = 4, size of lhs = 7:
% 0.60/0.78 g-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), f-{F}(V3), P_y-{F}(V3,V1), g-{F}(V3), P_z-{F}(V4,V3) | f-{T}(V2)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #174: disj( #1, #22+#2+#3+#9+#5+#9+#10 ), references = 4, size of lhs = 13:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), P_y-{F}(V2,V3), P_y-{F}(V4,V3), P_z-{F}(V5,V0), g-{F}(V6), P_y-{F}(V6,V7), P_y-{F}(V7,V3), f-{F}(V8), P_y-{F}(V8,V9), P_y-{F}(V9,V7), P_z-{F}(V10,V8) | f-{T}(V4)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #192: disj( #8, #2+#0+#3+#10 ), references = 1, size of lhs = 6:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), f-{F}(V2), P_y-{F}(V3,V2), P_z-{F}(V4,V2) | h-{T}(V3)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #215: mergings( V3 == V5; #213 ), references = 1, size of lhs = 7:
% 0.60/0.78 f-{F}(V0), h-{F}(V1), P_y-{F}(V1,V2), P_y-{F}(V2,V3), P_y-{F}(V3,V4), P_y-{F}(V4,V0), P_z-{F}(V5,V1) | g-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #227: mergings( V3 == V6, V11 == V13; #224 ), references = 1, size of lhs = 15:
% 0.60/0.78 h-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), P_y-{F}(V2,V3), P_y-{F}(V3,V4), P_y-{F}(V5,V4), P_z-{F}(V6,V0), g-{F}(V7), P_y-{F}(V7,V8), P_y-{F}(V8,V4), h-{F}(V9), P_y-{F}(V9,V10), P_y-{F}(V10,V11), P_y-{F}(V11,V8), P_z-{F}(V12,V9) | f-{T}(V5)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #239: mergings( V3 == V5, V9 == V11, V15 == V17; #235 ), references = 2, size of lhs = 19:
% 0.60/0.78 h-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), P_y-{F}(V2,V3), P_z-{F}(V4,V0), g-{F}(V5), P_y-{F}(V5,V3), h-{F}(V6), P_y-{F}(V6,V7), P_y-{F}(V7,V8), P_y-{F}(V8,V3), P_z-{F}(V9,V6), g-{F}(V10), P_y-{F}(V10,V3), h-{F}(V11), P_y-{F}(V11,V12), P_y-{F}(V12,V13), P_y-{F}(V13,V3), P_z-{F}(V14,V11) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #244: mergings( V3 == V4, V7 == V8, V11 == V12; #240 ), references = 4, size of lhs = 13:
% 0.60/0.78 h-{F}(V0), g-{F}(V1), P_y-{F}(V0,V2), P_y-{F}(V2,V1), P_z-{F}(V3,V0), h-{F}(V4), P_y-{F}(V4,V5), P_y-{F}(V5,V1), P_z-{F}(V6,V4), h-{F}(V7), P_y-{F}(V7,V8), P_y-{F}(V8,V1), P_z-{F}(V9,V7) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #250: mergings( V4 == V5, V8 == V9, V12 == V13; #246 ), references = 1, size of lhs = 15:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V2,V1), h-{F}(V3), P_y-{F}(V3,V4), P_y-{F}(V4,V1), P_z-{F}(V5,V3), h-{F}(V6), P_y-{F}(V6,V7), P_y-{F}(V7,V1), P_z-{F}(V8,V6), h-{F}(V9), P_y-{F}(V9,V10), P_y-{F}(V10,V1), P_z-{F}(V11,V9) | g-{T}(V2)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #256: exists( #11, #254 ), references = 4, size of lhs = 15:
% 0.60/0.78 f-{F}(V0), h-{F}(V1), P_y-{F}(V1,V0), P_z-{F}(V2,V1), h-{F}(V3), P_y-{F}(V3,V0), P_z-{F}(V4,V3), h-{F}(V5), P_y-{F}(V5,V0), P_z-{F}(V6,V5), h-{F}(V7), P_y-{F}(V7,V0), h-{F}(V8), P_y-{F}(V8,V0), P_z-{F}(V9,V8) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #259: disj( #1, #56+#255 ), references = 1, size of lhs = 12:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), P_y-{F}(V3,V2), g-{F}(V4), P_y-{F}(V4,V1), P_z-{F}(V5,V1), P_y-{F}(V6,V2), P_z-{F}(V7,V6), P_z-{F}(V8,V6), P_z-{F}(V9,V6), P_z-{F}(V10,V6) | f-{T}(V3)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #268: exists( #11, #264 ), references = 1, size of lhs = 14:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), g-{F}(V2), P_y-{F}(V2,V1), P_z-{F}(V3,V1), f-{F}(V4), P_y-{F}(V4,V1), g-{F}(V5), P_y-{F}(V5,V1), P_z-{F}(V6,V1), P_z-{F}(V7,V1), P_z-{F}(V8,V1), P_z-{F}(V9,V1), P_z-{F}(V10,V1) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #269: exists( #11, #265 ), references = 1, size of lhs = 20:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), g-{F}(V2), P_y-{F}(V2,V1), P_z-{F}(V3,V1), g-{F}(V4), P_y-{F}(V4,V1), g-{F}(V5), P_y-{F}(V5,V1), f-{F}(V6), P_y-{F}(V6,V1), P_z-{F}(V7,V1), P_z-{F}(V8,V1), P_z-{F}(V9,V1), P_z-{F}(V10,V1), P_z-{F}(V11,V1), P_z-{F}(V12,V1), P_z-{F}(V13,V1), P_z-{F}(V14,V1), P_z-{F}(V15,V1) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #273: mergings( V3 == V1; #270 ), references = 1, size of lhs = 11:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_z-{F}(V2,V1), f-{F}(V3), P_y-{F}(V3,V1), P_y-{F}(V4,V1), P_z-{F}(V5,V1), P_z-{F}(V6,V1), P_z-{F}(V7,V1), P_z-{F}(V8,V1), P_z-{F}(V9,V1) | f-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #275: mergings( V3 == V1; #271 ), references = 1, size of lhs = 15:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_z-{F}(V2,V1), P_y-{F}(V3,V1), f-{F}(V4), P_y-{F}(V4,V1), P_z-{F}(V5,V1), P_z-{F}(V6,V1), P_z-{F}(V7,V1), P_z-{F}(V8,V1), P_z-{F}(V9,V1), P_z-{F}(V10,V1), P_z-{F}(V11,V1), P_z-{F}(V12,V1), P_z-{F}(V13,V1) | f-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #302: exists( #11, #296 ), references = 1, size of lhs = 16:
% 0.60/0.78 g-{F}(V0), P_y-{F}(V0,V1), f-{F}(V2), P_y-{F}(V2,V1), g-{F}(V2), P_z-{F}(V3,V2), f-{F}(V4), g-{F}(V4), P_y-{F}(V4,V1), P_z-{F}(V5,V4), g-{F}(V6), P_y-{F}(V6,V1), f-{F}(V7), P_y-{F}(V7,V1), g-{F}(V7), P_z-{F}(V8,V7) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #303: exists( #11, #297 ), references = 1, size of lhs = 16:
% 0.60/0.78 g-{F}(V0), P_y-{F}(V0,V1), f-{F}(V2), P_y-{F}(V2,V1), g-{F}(V2), P_z-{F}(V3,V2), f-{F}(V4), g-{F}(V4), P_y-{F}(V4,V1), P_z-{F}(V5,V4), g-{F}(V6), P_y-{F}(V6,V1), P_y-{F}(V7,V1), P_z-{F}(V8,V7), P_z-{F}(V9,V7), P_z-{F}(V10,V7) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #304: exists( #11, #298 ), references = 1, size of lhs = 17:
% 0.60/0.78 g-{F}(V0), P_y-{F}(V0,V1), f-{F}(V2), P_y-{F}(V2,V1), g-{F}(V2), P_z-{F}(V3,V2), f-{F}(V4), g-{F}(V4), P_y-{F}(V4,V1), P_z-{F}(V5,V4), g-{F}(V6), P_y-{F}(V6,V1), P_y-{F}(V7,V1), P_z-{F}(V8,V7), P_z-{F}(V9,V7), P_z-{F}(V10,V7), P_z-{F}(V11,V7) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #308: exists( #11, #299 ), references = 3, size of lhs = 5:
% 0.60/0.78 f-{F}(V0), g-{F}(V0), P_z-{F}(V1,V0), P_z-{F}(V2,V0), P_z-{F}(V3,V0) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #320: mergings( V1 == V2, V2 == V5; #315 ), references = 1, size of lhs = 11:
% 0.60/0.78 P_z-{F}(V0,V1), P_y-{F}(V2,V1), P_y-{F}(V3,V1), P_z-{F}(V4,V1), P_z-{F}(V5,V1), P_z-{F}(V6,V1), P_z-{F}(V7,V1), P_z-{F}(V8,V1), P_z-{F}(V9,V1), P_z-{F}(V10,V1), P_z-{F}(V11,V1) | f-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #323: mergings( V1 == V2, V2 == V5; #316 ), references = 1, size of lhs = 13:
% 0.60/0.78 P_z-{F}(V0,V1), P_y-{F}(V2,V1), P_y-{F}(V3,V1), P_z-{F}(V4,V1), P_z-{F}(V5,V1), P_z-{F}(V6,V1), P_z-{F}(V7,V1), P_z-{F}(V8,V1), P_z-{F}(V9,V1), P_z-{F}(V10,V1), P_z-{F}(V11,V1), P_z-{F}(V12,V1), P_z-{F}(V13,V1) | f-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #326: mergings( V1 == V2, V2 == V5; #317 ), references = 1, size of lhs = 14:
% 0.60/0.78 P_z-{F}(V0,V1), P_y-{F}(V2,V1), P_y-{F}(V3,V1), P_z-{F}(V4,V1), P_z-{F}(V5,V1), P_z-{F}(V6,V1), P_z-{F}(V7,V1), P_z-{F}(V8,V1), P_z-{F}(V9,V1), P_z-{F}(V10,V1), P_z-{F}(V11,V1), P_z-{F}(V12,V1), P_z-{F}(V13,V1), P_z-{F}(V14,V1) | f-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #330: disj( #8, exists( #11, #299 ) ), references = 1, size of lhs = 5:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V1,V0), P_z-{F}(V2,V0), P_z-{F}(V3,V0), P_z-{F}(V4,V0) | h-{T}(V1)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #388: exists( #11, #382 ), references = 1, size of lhs = 16:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), P_z-{F}(V3,V0), g-{F}(V4), P_y-{F}(V4,V2), f-{F}(V5), P_y-{F}(V5,V6), P_y-{F}(V6,V2), P_z-{F}(V7,V5), g-{F}(V8), P_y-{F}(V8,V2), f-{F}(V9), P_y-{F}(V9,V10), P_y-{F}(V10,V2), P_z-{F}(V11,V9) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #389: exists( #11, #383 ), references = 1, size of lhs = 18:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), P_z-{F}(V3,V0), g-{F}(V4), P_y-{F}(V4,V2), f-{F}(V5), P_y-{F}(V5,V6), P_y-{F}(V6,V2), P_z-{F}(V7,V5), g-{F}(V8), P_y-{F}(V8,V2), f-{F}(V9), P_y-{F}(V9,V10), P_y-{F}(V10,V2), P_z-{F}(V11,V9), P_z-{F}(V12,V9), P_z-{F}(V13,V9) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #393: mergings( V11 == V12, V12 == V13, V13 == V14; #387 ), references = 1, size of lhs = 19:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V2), P_z-{F}(V3,V0), g-{F}(V4), P_y-{F}(V4,V2), f-{F}(V5), P_y-{F}(V5,V6), P_y-{F}(V6,V2), P_z-{F}(V7,V5), f-{F}(V8), P_y-{F}(V8,V2), g-{F}(V9), P_y-{F}(V9,V2), P_y-{F}(V10,V2), P_y-{F}(V11,V10), P_z-{F}(V12,V11), P_z-{F}(V13,V11), P_z-{F}(V14,V11) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #397: exists( #11, #385 ), references = 2, size of lhs = 10:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), g-{F}(V1), P_z-{F}(V2,V0), f-{F}(V3), P_y-{F}(V3,V1), P_z-{F}(V4,V3), f-{F}(V5), P_y-{F}(V5,V1), P_z-{F}(V6,V5) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #398: exists( #11, #386 ), references = 2, size of lhs = 12:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), g-{F}(V1), P_z-{F}(V2,V0), f-{F}(V3), P_y-{F}(V3,V1), P_z-{F}(V4,V3), f-{F}(V5), P_y-{F}(V5,V1), P_z-{F}(V6,V5), P_z-{F}(V7,V5), P_z-{F}(V8,V5) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #399: exists( #11, #387 ), references = 1, size of lhs = 12:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), f-{F}(V1), g-{F}(V1), P_z-{F}(V2,V0), f-{F}(V3), P_y-{F}(V3,V1), P_z-{F}(V4,V3), P_y-{F}(V5,V1), P_z-{F}(V6,V5), P_z-{F}(V7,V5), P_z-{F}(V8,V5) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #406: disj( #4, #0+#394 ), references = 1, size of lhs = 12:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V2,V1), f-{F}(V3), P_y-{F}(V3,V1), P_z-{F}(V4,V3), f-{F}(V5), P_y-{F}(V5,V1), P_z-{F}(V6,V5), f-{F}(V7), P_y-{F}(V7,V1), P_z-{F}(V8,V7) | g-{T}(V2)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #407: disj( #4, #0+#396 ), references = 1, size of lhs = 13:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V2,V1), f-{F}(V3), P_y-{F}(V3,V1), P_z-{F}(V4,V3), f-{F}(V5), P_y-{F}(V5,V1), P_z-{F}(V6,V5), P_y-{F}(V7,V1), P_z-{F}(V8,V7), P_z-{F}(V9,V7), P_z-{F}(V10,V7) | g-{T}(V2)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #408: disj( #4, #0+#395 ), references = 1, size of lhs = 14:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V2,V1), f-{F}(V3), P_y-{F}(V3,V1), P_z-{F}(V4,V3), f-{F}(V5), P_y-{F}(V5,V1), P_z-{F}(V6,V5), f-{F}(V7), P_y-{F}(V7,V1), P_z-{F}(V8,V7), P_z-{F}(V9,V7), P_z-{F}(V10,V7) | g-{T}(V2)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #415: exists( #11, #409 ), references = 2, size of lhs = 7:
% 0.60/0.78 f-{F}(V0), P_z-{F}(V1,V0), P_z-{F}(V2,V0), P_z-{F}(V3,V0), P_z-{F}(V4,V0), P_z-{F}(V5,V0), P_z-{F}(V6,V0) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #434: mergings( V1 == V2, V3 == V2; #429 ), references = 1, size of lhs = 8:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V0), P_y-{F}(V2,V0), P_z-{F}(V3,V2), P_z-{F}(V4,V2), P_z-{F}(V5,V2), P_z-{F}(V6,V2) | g-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #440: mergings( V2 == V4, V0 == V3, V1 == V4, V4 == V5, V5 == V6; #430 ), references = 1, size of lhs = 7:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V0,V1), P_y-{F}(V1,V0), P_y-{F}(V2,V0), P_z-{F}(V3,V2), P_z-{F}(V4,V2), P_z-{F}(V5,V2) | g-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #449: mergings( V2 == V4, V4 == V6, V0 == V5, V1 == V6, V6 == V8, V5 == V7, V8 == V10, V7 == V9; #431 ), references = 1, size of lhs = 8:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V1,V0), P_y-{F}(V0,V2), P_y-{F}(V2,V0), P_y-{F}(V3,V0), P_z-{F}(V4,V3), P_z-{F}(V5,V3), P_z-{F}(V6,V3) | g-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #458: mergings( V1 == V2; #456 ), references = 4, size of lhs = 6:
% 0.60/0.78 f-{F}(V0), P_y-{F}(V1,V0), P_z-{F}(V2,V1), P_z-{F}(V3,V1), P_z-{F}(V4,V1), P_z-{F}(V5,V1) | g-{T}(V0)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #462: disj( #1, exists( #11, #409 ) ), references = 1, size of lhs = 7:
% 0.60/0.78 P_z-{F}(V0,V1), P_y-{F}(V1,V2), P_z-{F}(V3,V1), P_z-{F}(V4,V1), P_z-{F}(V5,V1), P_z-{F}(V6,V1), P_z-{F}(V7,V1) | f-{T}(V2)
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #475: exists( #11, #470 ), references = 1, size of lhs = 13:
% 0.60/0.78 P_z-{F}(V0,V1), P_z-{F}(V2,V1), P_z-{F}(V3,V1), P_z-{F}(V4,V1), P_z-{F}(V5,V1), P_z-{F}(V6,V1), P_z-{F}(V7,V1), P_z-{F}(V8,V1), P_z-{F}(V9,V1), P_z-{F}(V10,V1), P_z-{F}(V11,V1), P_z-{F}(V12,V1), P_z-{F}(V13,V1) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #476: exists( #11, #471 ), references = 1, size of lhs = 15:
% 0.60/0.78 P_z-{F}(V0,V1), P_z-{F}(V2,V1), P_z-{F}(V3,V1), P_z-{F}(V4,V1), P_z-{F}(V5,V1), P_z-{F}(V6,V1), P_z-{F}(V7,V1), P_z-{F}(V8,V1), P_z-{F}(V9,V1), P_z-{F}(V10,V1), P_z-{F}(V11,V1), P_z-{F}(V12,V1), P_z-{F}(V13,V1), P_z-{F}(V14,V1), P_z-{F}(V15,V1) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #477: exists( #11, #469 ), references = 1, size of lhs = 16:
% 0.60/0.78 P_z-{F}(V0,V1), P_z-{F}(V2,V1), P_z-{F}(V3,V1), P_z-{F}(V4,V1), P_z-{F}(V5,V1), P_z-{F}(V6,V1), P_z-{F}(V7,V1), P_z-{F}(V8,V1), P_z-{F}(V9,V1), P_z-{F}(V10,V1), P_z-{F}(V11,V1), P_z-{F}(V12,V1), P_z-{F}(V13,V1), P_z-{F}(V14,V1), P_z-{F}(V15,V1), P_z-{F}(V16,V1) | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 #481: exists( #12, #472 ), references = 1, size of lhs = 1:
% 0.60/0.78 #-{F} V0 | FALSE
% 0.60/0.78 (used 0 times, uses = {})
% 0.60/0.78
% 0.60/0.78 number of learnt formulas = 50
% 0.60/0.78
% 0.60/0.78
% 0.60/0.78 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.78
% 0.60/0.78 randbase = 1
%------------------------------------------------------------------------------