TSTP Solution File: SYN617-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN617-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:25:05 EDT 2022
% Result : Unsatisfiable 4.82s 4.98s
% Output : Refutation 4.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN617-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 03:28:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.82/4.98 GeoParameters:
% 4.82/4.98
% 4.82/4.98 tptp_input = 1
% 4.82/4.98 tptp_output = 0
% 4.82/4.98 nonempty = 1
% 4.82/4.98 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.82/4.98 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.82/4.98
% 4.82/4.98
% 4.82/4.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.82/4.98 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.82/4.98
% 4.82/4.98 RuleSystem INPUT:
% 4.82/4.98
% 4.82/4.98 Initial Rules:
% 4.82/4.98 #0: input, references = 5, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | p11-{T}(V0,V0)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #1: input, references = 3, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | p9-{T}(V0,V0)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #2: input, references = 3, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | p7-{T}(V0,V0)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #3: input, references = 8, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | p2-{T}(V0,V0)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #4: input, references = 4, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | p13-{T}(V0,V0)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #5: input, references = 4, size of lhs = 2:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1) | p19-{T}(V0,V1)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #6: input, references = 5, size of lhs = 4:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_f14-{F}(V2,V3,V4), P_f12-{F}(V4,V5) | p11-{T}(V5,V3)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #7: input, references = 3, size of lhs = 4:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_f10-{F}(V2,V3,V4), P_f8-{F}(V4,V5) | p7-{T}(V5,V3)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #8: input, references = 3, size of lhs = 6:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f18-{F}(V3,V4,V5), P_f17-{F}(V4,V6) | p9-{T}(V5,V6)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #9: input, references = 3, size of lhs = 6:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f15-{F}(V3,V4,V5), P_f16-{F}(V4,V6) | p13-{T}(V5,V6)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #10: input, references = 3, size of lhs = 7:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f12-{F}(V4,V6), P_f12-{F}(V5,V7), p11-{F}(V4,V5) | p11-{T}(V6,V7)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #11: input, references = 3, size of lhs = 7:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f17-{F}(V4,V6), P_f17-{F}(V5,V7), p7-{F}(V4,V5) | p9-{T}(V6,V7)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #12: input, references = 3, size of lhs = 7:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f8-{F}(V4,V6), P_f8-{F}(V5,V7), p7-{F}(V4,V5) | p7-{T}(V6,V7)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #13: input, references = 3, size of lhs = 7:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V4,V6), P_f6-{F}(V5,V7), p2-{F}(V4,V5) | p2-{T}(V6,V7)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #14: input, references = 3, size of lhs = 7:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f5-{F}(V4,V6), P_f5-{F}(V5,V7), p2-{F}(V4,V5) | p2-{T}(V6,V7)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #15: input, references = 3, size of lhs = 7:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f3-{F}(V4,V6), P_f3-{F}(V5,V7), p2-{F}(V4,V5) | p2-{T}(V6,V7)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #16: input, references = 3, size of lhs = 7:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f16-{F}(V4,V6), P_f16-{F}(V5,V7), p11-{F}(V4,V5) | p13-{T}(V6,V7)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #17: input, references = 3, size of lhs = 8:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f3-{F}(V4,V6), P_f18-{F}(V6,V5,V7), P_f8-{F}(V5,V8), P_f18-{F}(V4,V8,V9) | p9-{T}(V7,V9)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #18: input, references = 8, size of lhs = 8:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f3-{F}(V4,V6), P_f15-{F}(V6,V5,V7), P_f12-{F}(V5,V8), P_f15-{F}(V4,V8,V9) | p13-{T}(V7,V9)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #19: input, references = 3, size of lhs = 6:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p11-{F}(V6,V4), p11-{F}(V6,V5) | p11-{T}(V4,V5)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #20: input, references = 3, size of lhs = 6:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p9-{F}(V6,V4), p9-{F}(V6,V5) | p9-{T}(V4,V5)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #21: input, references = 3, size of lhs = 6:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p7-{F}(V6,V4), p7-{F}(V6,V5) | p7-{T}(V4,V5)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #22: input, references = 5, size of lhs = 6:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p2-{F}(V6,V4), p2-{F}(V6,V5) | p2-{T}(V4,V5)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #23: input, references = 7, size of lhs = 6:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p13-{F}(V6,V4), p13-{F}(V6,V5) | p13-{T}(V4,V5)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #24: input, references = 3, size of lhs = 7:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p19-{F}(V4,V5), p2-{F}(V5,V6), p2-{F}(V4,V7) | p19-{T}(V7,V6)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #25: input, references = 3, size of lhs = 8:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p7-{F}(V4,V5), P_f18-{F}(V7,V4,V8), P_f18-{F}(V6,V5,V9), p2-{F}(V7,V6) | p9-{T}(V8,V9)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #26: input, references = 3, size of lhs = 8:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p11-{F}(V4,V5), P_f14-{F}(V7,V4,V8), P_f14-{F}(V6,V5,V9), p13-{F}(V7,V6) | p11-{T}(V8,V9)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #27: input, references = 7, size of lhs = 8:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p11-{F}(V4,V5), P_f15-{F}(V7,V4,V8), P_f15-{F}(V6,V5,V9), p2-{F}(V7,V6) | p13-{T}(V8,V9)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #28: input, references = 3, size of lhs = 8:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p2-{F}(V4,V5), P_f4-{F}(V7,V4,V8), P_f4-{F}(V6,V5,V9), p2-{F}(V7,V6) | p2-{T}(V8,V9)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #29: input, references = 3, size of lhs = 8:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), p7-{F}(V4,V5), P_f10-{F}(V7,V4,V8), P_f10-{F}(V6,V5,V9), p9-{F}(V7,V6) | p7-{T}(V8,V9)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #30: input, references = 6, size of lhs = 13:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V6,V8), P_f4-{F}(V8,V5,V9), P_f4-{F}(V9,V7,V10), P_f4-{F}(V6,V5,V11), P_f4-{F}(V11,V7,V12), P_f3-{F}(V12,V13), p19-{F}(V7,V6) | p2-{T}(V10,V13)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #31: input, references = 5, size of lhs = 17:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_f4-{F}(V7,V0,V8), P_c23-{F}(V9), P_c24-{F}(V10), P_f14-{F}(V9,V10,V11), P_f15-{F}(V8,V11,V12), P_f4-{F}(V1,V5,V13), P_f4-{F}(V13,V0,V14), P_f15-{F}(V14,V10,V15), p13-{F}(V12,V15) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #32: input, references = 4, size of lhs = 0:
% 4.82/4.98 FALSE | EXISTS V0: P_c21-{T}(V0)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #33: input, references = 4, size of lhs = 0:
% 4.82/4.98 FALSE | EXISTS V0: P_c22-{T}(V0)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #34: input, references = 4, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | EXISTS V1: P_f12-{T}(V0,V1)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #35: input, references = 4, size of lhs = 2:
% 4.82/4.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_f14-{T}(V0,V1,V2)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #36: input, references = 3, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | EXISTS V1: P_f8-{T}(V0,V1)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #37: input, references = 3, size of lhs = 2:
% 4.82/4.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_f10-{T}(V0,V1,V2)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #38: input, references = 3, size of lhs = 2:
% 4.82/4.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_f18-{T}(V0,V1,V2)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #39: input, references = 5, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #40: input, references = 4, size of lhs = 0:
% 4.82/4.98 FALSE | EXISTS V0: P_c20-{T}(V0)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #41: input, references = 3, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | EXISTS V1: P_f17-{T}(V0,V1)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #42: input, references = 14, size of lhs = 2:
% 4.82/4.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_f15-{T}(V0,V1,V2)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #43: input, references = 3, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | EXISTS V1: P_f16-{T}(V0,V1)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #44: input, references = 4, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #45: input, references = 5, size of lhs = 1:
% 4.82/4.98 #-{F} V0 | EXISTS V1: P_f3-{T}(V0,V1)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #46: input, references = 13, size of lhs = 2:
% 4.82/4.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_f4-{T}(V0,V1,V2)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #47: input, references = 4, size of lhs = 0:
% 4.82/4.98 FALSE | EXISTS V0: P_c23-{T}(V0)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #48: input, references = 4, size of lhs = 0:
% 4.82/4.98 FALSE | EXISTS V0: P_c24-{T}(V0)
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 number of initial rules = 49
% 4.82/4.98
% 4.82/4.98 Simplifiers:
% 4.82/4.98 #49: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_c21-{F}(V0), P_c21-{F}(V1), V0 == V1 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #50: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_c22-{F}(V0), P_c22-{F}(V1), V0 == V1 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #51: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f12-{F}(V0,V1), P_f12-{F}(V0,V3), V1 == V3 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #52: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f14-{F}(V0,V1,V2), P_f14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #53: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f8-{F}(V0,V1), P_f8-{F}(V0,V3), V1 == V3 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #54: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f10-{F}(V0,V1,V2), P_f10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #55: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f18-{F}(V0,V1,V2), P_f18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #56: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #57: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_c20-{F}(V0), P_c20-{F}(V1), V0 == V1 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #58: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f17-{F}(V0,V1), P_f17-{F}(V0,V3), V1 == V3 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #59: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f15-{F}(V0,V1,V2), P_f15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #60: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f16-{F}(V0,V1), P_f16-{F}(V0,V3), V1 == V3 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #61: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #62: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f3-{F}(V0,V1), P_f3-{F}(V0,V3), V1 == V3 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #63: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_f4-{F}(V0,V1,V2), P_f4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #64: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_c23-{F}(V0), P_c23-{F}(V1), V0 == V1 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #65: unsound, references = 3, size of lhs = 3:
% 4.82/4.98 P_c24-{F}(V0), P_c24-{F}(V1), V0 == V1 | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 number of simplifiers = 17
% 4.82/4.98
% 4.82/4.98 Learnt:
% 4.82/4.98 #77: mergings( V3 == V7, V7 == V11, V4 == V8, V8 == V12, V5 == V9, V6 == V10, V9 == V13, V10 == V14; #68 ), references = 5, size of lhs = 19:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_f4-{F}(V7,V0,V8), P_c23-{F}(V9), P_c24-{F}(V10), P_f14-{F}(V9,V10,V11), P_f15-{F}(V8,V11,V12), P_f4-{F}(V1,V5,V13), P_f4-{F}(V13,V0,V14), p11-{F}(V15,V10), p2-{F}(V16,V14), P_f15-{F}(V16,V15,V17), p13-{F}(V17,V12) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #80: exists( #42, #78 ), references = 1, size of lhs = 16:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_f4-{F}(V7,V0,V8), P_c23-{F}(V9), P_c24-{F}(V10), P_f14-{F}(V9,V10,V11), p11-{F}(V11,V10), P_f4-{F}(V1,V5,V12), P_f4-{F}(V12,V0,V13), p2-{F}(V8,V13) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #83: exists( #46, #81 ), references = 1, size of lhs = 13:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_f4-{F}(V1,V5,V7), P_c23-{F}(V8), P_c24-{F}(V9), P_f14-{F}(V8,V9,V10), p11-{F}(V10,V9) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #85: exists( #46, #82 ), references = 1, size of lhs = 11:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_f3-{F}(V1,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f14-{F}(V6,V7,V8), p11-{F}(V8,V7) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #116: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V10; #111 ), references = 1, size of lhs = 18:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_f4-{F}(V7,V0,V8), P_c23-{F}(V9), P_c24-{F}(V10), P_f14-{F}(V9,V10,V11), P_f4-{F}(V1,V5,V12), P_f4-{F}(V12,V0,V13), P_f15-{F}(V13,V10,V14), p11-{F}(V11,V15), p2-{F}(V8,V16), P_f15-{F}(V16,V15,V14) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #129: mergings( V3 == V9, V9 == V1, V4 == V10, V10 == V13, V5 == V11, V6 == V12, V11 == V14, V12 == V15, V7 == V16, V8 == V17; #118 ), references = 1, size of lhs = 22:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_c23-{F}(V8), P_c24-{F}(V9), P_f14-{F}(V8,V9,V10), P_f4-{F}(V1,V5,V11), P_f4-{F}(V11,V0,V12), P_f15-{F}(V12,V9,V13), p11-{F}(V10,V14), p19-{F}(V0,V15), P_f3-{F}(V15,V16), P_f4-{F}(V16,V5,V7), P_f4-{F}(V15,V5,V17), P_f4-{F}(V17,V0,V18), P_f3-{F}(V18,V19), P_f15-{F}(V19,V14,V13) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #140: mergings( V3 == V8, V8 == V12, V4 == V9, V9 == V13, V5 == V10, V6 == V11, V10 == V14, V11 == V15, V7 == V16; #130 ), references = 1, size of lhs = 20:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), P_f15-{F}(V11,V8,V12), p11-{F}(V9,V13), p19-{F}(V0,V14), P_f3-{F}(V14,V6), P_f4-{F}(V14,V5,V15), P_f4-{F}(V15,V0,V16), P_f3-{F}(V16,V17), P_f15-{F}(V17,V13,V12) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #177: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V10; #172 ), references = 1, size of lhs = 20:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_f4-{F}(V7,V0,V8), P_c23-{F}(V9), P_c24-{F}(V10), P_f14-{F}(V9,V10,V11), P_f4-{F}(V1,V5,V12), P_f4-{F}(V12,V0,V13), p11-{F}(V14,V10), p2-{F}(V15,V13), P_f15-{F}(V15,V14,V16), P_f3-{F}(V8,V17), P_f15-{F}(V17,V18,V16), P_f12-{F}(V18,V11) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #200: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V10; #195 ), references = 1, size of lhs = 20:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_f4-{F}(V7,V0,V8), P_c23-{F}(V9), P_c24-{F}(V10), P_f14-{F}(V9,V10,V11), P_f4-{F}(V1,V5,V12), P_f4-{F}(V12,V0,V13), p11-{F}(V14,V10), p2-{F}(V15,V13), P_f15-{F}(V15,V14,V16), p11-{F}(V17,V11), P_f15-{F}(V18,V17,V16), p2-{F}(V18,V8) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #219: mergings( V3 == V9, V9 == V13, V13 == V1, V4 == V10, V10 == V14, V14 == V17, V5 == V11, V6 == V12, V11 == V15, V12 == V16, V15 == V18, V16 == V19, V7 == V20, V8 == V21; #204 ), references = 1, size of lhs = 24:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_c23-{F}(V8), P_c24-{F}(V9), P_f14-{F}(V8,V9,V10), P_f4-{F}(V1,V5,V11), P_f4-{F}(V11,V0,V12), p11-{F}(V13,V9), p2-{F}(V14,V12), P_f15-{F}(V14,V13,V15), p11-{F}(V16,V10), p19-{F}(V0,V17), P_f3-{F}(V17,V18), P_f4-{F}(V18,V5,V7), P_f4-{F}(V17,V5,V19), P_f4-{F}(V19,V0,V20), P_f3-{F}(V20,V21), P_f15-{F}(V21,V16,V15) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #234: mergings( V3 == V8, V8 == V12, V12 == V16, V4 == V9, V9 == V13, V13 == V17, V5 == V10, V6 == V11, V10 == V14, V11 == V15, V14 == V18, V15 == V19, V7 == V20; #220 ), references = 1, size of lhs = 22:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p11-{F}(V12,V8), p2-{F}(V13,V11), P_f15-{F}(V13,V12,V14), p11-{F}(V15,V9), p19-{F}(V0,V16), P_f3-{F}(V16,V6), P_f4-{F}(V16,V5,V17), P_f4-{F}(V17,V0,V18), P_f3-{F}(V18,V19), P_f15-{F}(V19,V15,V14) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #304: mergings( V3 == V7, V7 == V11, V4 == V8, V8 == V12, V5 == V9, V6 == V10, V9 == V13, V10 == V14; #295 ), references = 1, size of lhs = 21:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_f4-{F}(V7,V0,V8), P_c23-{F}(V9), P_c24-{F}(V10), P_f14-{F}(V9,V10,V11), P_f4-{F}(V1,V5,V12), P_f4-{F}(V12,V0,V13), p11-{F}(V14,V10), p2-{F}(V15,V13), P_f15-{F}(V15,V14,V16), p11-{F}(V17,V11), p2-{F}(V18,V8), P_f15-{F}(V18,V17,V19), p13-{F}(V19,V16) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #327: mergings( V3 == V9, V9 == V13, V13 == V17, V17 == V1, V4 == V10, V10 == V14, V14 == V18, V18 == V21, V5 == V11, V6 == V12, V11 == V15, V12 == V16, V15 == V19, V16 == V20, V19 == V22, V20 == V23, V7 == V24, V8 == V25; #308 ), references = 1, size of lhs = 25:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_f4-{F}(V6,V5,V7), P_c23-{F}(V8), P_c24-{F}(V9), P_f14-{F}(V8,V9,V10), P_f4-{F}(V1,V5,V11), P_f4-{F}(V11,V0,V12), p11-{F}(V13,V9), p2-{F}(V14,V12), P_f15-{F}(V14,V13,V15), p11-{F}(V16,V10), p19-{F}(V0,V17), P_f3-{F}(V17,V18), P_f4-{F}(V18,V5,V7), P_f4-{F}(V17,V5,V19), P_f4-{F}(V19,V0,V20), P_f3-{F}(V20,V21), P_f15-{F}(V21,V16,V22), p13-{F}(V22,V15) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #346: mergings( V3 == V8, V8 == V12, V12 == V16, V16 == V20, V4 == V9, V9 == V13, V13 == V17, V17 == V21, V5 == V10, V6 == V11, V10 == V14, V11 == V15, V14 == V18, V15 == V19, V18 == V22, V19 == V23, V7 == V24; #328 ), references = 2, size of lhs = 23:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p11-{F}(V12,V8), p2-{F}(V13,V11), P_f15-{F}(V13,V12,V14), p11-{F}(V15,V9), p19-{F}(V0,V16), P_f3-{F}(V16,V6), P_f4-{F}(V16,V5,V17), P_f4-{F}(V17,V0,V18), P_f3-{F}(V18,V19), P_f15-{F}(V19,V15,V20), p13-{F}(V20,V14) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #380: mergings( V3 == V7, V7 == V11, V11 == V15, V15 == V21, V21 == V25, V25 == V29, V29 == V33, V4 == V8, V8 == V12, V12 == V16, V16 == V22, V22 == V26, V26 == V30, V30 == V34, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18, V17 == V23, V18 == V24, V23 == V27, V24 == V28, V27 == V31, V28 == V32, V31 == V35, V32 == V36, V19 == V37; #350 ), references = 2, size of lhs = 26:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p11-{F}(V12,V8), p2-{F}(V13,V11), P_f15-{F}(V13,V12,V14), p19-{F}(V0,V15), P_f3-{F}(V15,V6), P_f4-{F}(V15,V5,V16), P_f4-{F}(V16,V0,V17), P_f3-{F}(V17,V18), P_f3-{F}(V18,V19), p11-{F}(V20,V9), P_f12-{F}(V21,V20), P_f15-{F}(V19,V21,V22), p13-{F}(V22,V23), p13-{F}(V23,V14) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #411: mergings( V3 == V7, V7 == V11, V11 == V15, V15 == V21, V21 == V25, V25 == V29, V29 == V33, V4 == V8, V8 == V12, V12 == V16, V16 == V22, V22 == V26, V26 == V30, V30 == V34, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18, V17 == V23, V18 == V24, V23 == V27, V24 == V28, V27 == V31, V28 == V32, V31 == V35, V32 == V36, V19 == V37; #381 ), references = 2, size of lhs = 26:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p11-{F}(V12,V8), p2-{F}(V13,V11), P_f15-{F}(V13,V12,V14), p19-{F}(V0,V15), P_f3-{F}(V15,V6), P_f4-{F}(V15,V5,V16), P_f4-{F}(V16,V0,V17), P_f3-{F}(V17,V18), P_f3-{F}(V18,V19), p11-{F}(V20,V9), P_f12-{F}(V21,V20), P_f15-{F}(V19,V21,V22), p13-{F}(V22,V23), p13-{F}(V23,V14) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #422: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V10; #415 ), references = 2, size of lhs = 24:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p11-{F}(V12,V8), p2-{F}(V13,V11), P_f15-{F}(V13,V12,V14), p11-{F}(V15,V9), p19-{F}(V0,V16), P_f3-{F}(V16,V6), P_f4-{F}(V16,V5,V17), P_f4-{F}(V17,V0,V18), P_f3-{F}(V18,V19), P_f3-{F}(V20,V19), P_f12-{F}(V15,V21), P_f15-{F}(V20,V21,V14) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #428: mergings( V3 == V7, V4 == V8, V26 == V29, V5 == V9, V6 == V10; #416 ), references = 1, size of lhs = 26:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p11-{F}(V12,V8), p2-{F}(V13,V11), P_f15-{F}(V13,V12,V14), p19-{F}(V0,V15), P_f3-{F}(V15,V6), P_f4-{F}(V15,V5,V16), P_f4-{F}(V16,V0,V17), P_f3-{F}(V17,V18), P_f3-{F}(V18,V19), P_f3-{F}(V20,V19), p11-{F}(V21,V9), P_f12-{F}(V22,V21), P_f15-{F}(V20,V21,V23), p13-{F}(V23,V14) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #434: mergings( V3 == V7, V4 == V8, V26 == V29, V5 == V9, V6 == V10; #417 ), references = 1, size of lhs = 26:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p11-{F}(V12,V8), p2-{F}(V13,V11), P_f15-{F}(V13,V12,V14), p19-{F}(V0,V15), P_f3-{F}(V15,V6), P_f4-{F}(V15,V5,V16), P_f4-{F}(V16,V0,V17), P_f3-{F}(V17,V18), P_f3-{F}(V18,V19), P_f3-{F}(V20,V19), p11-{F}(V21,V9), P_f12-{F}(V22,V21), P_f15-{F}(V20,V21,V23), p13-{F}(V23,V14) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #442: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V10; #435 ), references = 2, size of lhs = 24:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p11-{F}(V12,V8), p2-{F}(V13,V11), P_f15-{F}(V13,V12,V14), p11-{F}(V15,V9), p19-{F}(V0,V16), P_f3-{F}(V16,V6), P_f4-{F}(V16,V5,V17), P_f4-{F}(V17,V0,V18), P_f3-{F}(V18,V19), P_f3-{F}(V20,V19), P_f12-{F}(V15,V21), P_f15-{F}(V20,V21,V14) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #445: exists( #42, #422 ), references = 1, size of lhs = 22:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p2-{F}(V12,V11), p11-{F}(V13,V9), p19-{F}(V0,V14), P_f3-{F}(V14,V6), P_f4-{F}(V14,V5,V15), P_f4-{F}(V15,V0,V16), P_f3-{F}(V16,V17), P_f3-{F}(V12,V17), P_f12-{F}(V13,V18), p11-{F}(V18,V8) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #446: exists( #42, #442 ), references = 1, size of lhs = 22:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p2-{F}(V12,V11), p11-{F}(V13,V9), p19-{F}(V0,V14), P_f3-{F}(V14,V6), P_f4-{F}(V14,V5,V15), P_f4-{F}(V15,V0,V16), P_f3-{F}(V16,V17), P_f3-{F}(V12,V17), P_f12-{F}(V13,V18), p11-{F}(V18,V8) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #449: exists( #45, #443 ), references = 1, size of lhs = 20:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p11-{F}(V12,V9), p19-{F}(V0,V13), P_f3-{F}(V13,V6), P_f4-{F}(V13,V5,V14), P_f4-{F}(V14,V0,V15), p2-{F}(V15,V11), P_f12-{F}(V12,V16), p11-{F}(V16,V8) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #450: exists( #45, #444 ), references = 1, size of lhs = 20:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), P_f4-{F}(V10,V0,V11), p11-{F}(V12,V9), p19-{F}(V0,V13), P_f3-{F}(V13,V6), P_f4-{F}(V13,V5,V14), P_f4-{F}(V14,V0,V15), p2-{F}(V15,V11), P_f12-{F}(V12,V16), p11-{F}(V16,V8) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #455: exists( #46, #451 ), references = 1, size of lhs = 17:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), p11-{F}(V11,V9), p19-{F}(V0,V12), P_f3-{F}(V12,V6), P_f4-{F}(V12,V5,V10), P_f12-{F}(V11,V13), p11-{F}(V13,V8) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #456: exists( #46, #452 ), references = 1, size of lhs = 17:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_f3-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8), P_f14-{F}(V7,V8,V9), P_f4-{F}(V1,V5,V10), p11-{F}(V11,V9), p19-{F}(V0,V12), P_f3-{F}(V12,V6), P_f4-{F}(V12,V5,V10), P_f12-{F}(V11,V13), p11-{F}(V13,V8) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #459: exists( #46, #453 ), references = 1, size of lhs = 14:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f14-{F}(V6,V7,V8), p11-{F}(V9,V8), P_f3-{F}(V1,V10), P_f12-{F}(V9,V11), p11-{F}(V11,V7) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #460: exists( #46, #454 ), references = 1, size of lhs = 14:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f14-{F}(V6,V7,V8), p11-{F}(V9,V8), P_f3-{F}(V1,V10), P_f12-{F}(V9,V11), p11-{F}(V11,V7) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #463: exists( #45, #457 ), references = 1, size of lhs = 13:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f14-{F}(V6,V7,V8), p11-{F}(V9,V8), P_f12-{F}(V9,V10), p11-{F}(V10,V7) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #464: exists( #45, #458 ), references = 1, size of lhs = 13:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f14-{F}(V6,V7,V8), p11-{F}(V9,V8), P_f12-{F}(V9,V10), p11-{F}(V10,V7) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #471: mergings( V2 == V4, V3 == V5; #467 ), references = 2, size of lhs = 12:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f14-{F}(V6,V7,V8), p11-{F}(V9,V8), P_f14-{F}(V10,V7,V9) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #474: mergings( V2 == V4, V3 == V5; #468 ), references = 2, size of lhs = 12:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f14-{F}(V6,V7,V8), p11-{F}(V9,V8), P_f14-{F}(V10,V7,V9) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #479: exists( #35, #475 ), references = 2, size of lhs = 9:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #480: exists( #35, #476 ), references = 2, size of lhs = 9:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_f5-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #484: exists( #39, #479 ), references = 1, size of lhs = 8:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_c23-{F}(V5), P_c24-{F}(V6) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #485: exists( #39, #480 ), references = 1, size of lhs = 8:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_f6-{F}(V2,V4), P_c23-{F}(V5), P_c24-{F}(V6) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #488: exists( #44, #481 ), references = 1, size of lhs = 7:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_f5-{F}(V2,V3), P_c23-{F}(V4), P_c24-{F}(V5) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #491: exists( #39, #486 ), references = 1, size of lhs = 6:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_c23-{F}(V3), P_c24-{F}(V4) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #494: exists( #48, #489 ), references = 1, size of lhs = 5:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2), P_c23-{F}(V3) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #497: exists( #47, #492 ), references = 1, size of lhs = 4:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1), P_c20-{F}(V2) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #500: exists( #40, #495 ), references = 1, size of lhs = 3:
% 4.82/4.98 P_c21-{F}(V0), P_c22-{F}(V1), p19-{F}(V0,V1) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #505: exists( #33, #501 ), references = 1, size of lhs = 1:
% 4.82/4.98 P_c21-{F}(V0) | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 #508: exists( #32, #503 ), references = 1, size of lhs = 0:
% 4.82/4.98 FALSE | FALSE
% 4.82/4.98 (used 0 times, uses = {})
% 4.82/4.98
% 4.82/4.98 number of learnt formulas = 43
% 4.82/4.98
% 4.82/4.98
% 4.82/4.98 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.82/4.98
% 4.82/4.98 randbase = 1
%------------------------------------------------------------------------------