TSTP Solution File: RNG083+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG083+1 : TPTP v8.1.0. Released v4.0.0.
% 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 06:15:04 EDT 2022
% Result : Theorem 2.14s 2.31s
% Output : Refutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG083+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : Fri Jul 22 07:45:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.14/2.31 GeoParameters:
% 2.14/2.31
% 2.14/2.31 tptp_input = 1
% 2.14/2.31 tptp_output = 0
% 2.14/2.31 nonempty = 1
% 2.14/2.31 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.31 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.14/2.31
% 2.14/2.31
% 2.14/2.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.31
% 2.14/2.31 RuleSystem INPUT:
% 2.14/2.31
% 2.14/2.31 Initial Rules:
% 2.14/2.31 #0: input, references = 4, size of lhs = 1:
% 2.14/2.31 P_sz00-{F}(V0) | aElement0-{T}(V0)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #1: input, references = 4, size of lhs = 2:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1) | aElement0-{T}(V1)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #2: input, references = 8, size of lhs = 4:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), aElement0-{F}(V2) | aElement0-{T}(V3)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #3: input, references = 3, size of lhs = 5:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V3) | aElement0-{T}(V4)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #4: input, references = 5, size of lhs = 5:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aElement0-{F}(V3) | aElement0-{T}(V4)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #5: input, references = 4, size of lhs = 7:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V2,V3,V5), aElement0-{F}(V3), V4 == V5 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #6: input, references = 5, size of lhs = 10:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V3), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V6,V2,V7), P_sdtpldt0-{F}(V5,V4,V8), aElement0-{F}(V5), V7 == V8 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #7: input, references = 6, size of lhs = 6:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aElement0-{F}(V2), V3 == V2 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #8: input, references = 4, size of lhs = 6:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aElement0-{F}(V2), V2 == V4 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #9: input, references = 5, size of lhs = 7:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), P_sdtpldt0-{F}(V2,V3,V4), P_sdtpldt0-{F}(V3,V2,V5), aElement0-{F}(V2), V4 == V0 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #10: input, references = 5, size of lhs = 7:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V2,V3), P_sdtpldt0-{F}(V2,V3,V4), P_sdtpldt0-{F}(V3,V2,V5), aElement0-{F}(V2), V0 == V5 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #11: input, references = 4, size of lhs = 7:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V5), aElement0-{F}(V3), V4 == V5 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #12: input, references = 3, size of lhs = 10:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aElement0-{F}(V3), P_sdtasdt0-{F}(V5,V3,V6), P_sdtasdt0-{F}(V6,V2,V7), P_sdtasdt0-{F}(V5,V4,V8), aElement0-{F}(V5), V7 == V8 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #13: input, references = 5, size of lhs = 6:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aElement0-{F}(V2), V3 == V2 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #14: input, references = 4, size of lhs = 6:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aElement0-{F}(V2), V2 == V4 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #15: input, references = 8, size of lhs = 15:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V5,V10), P_sdtasdt0-{F}(V3,V5,V11), P_sdtasdt0-{F}(V2,V5,V12), P_sdtpldt0-{F}(V11,V12,V13), aElement0-{F}(V5), V6 == V9 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #16: input, references = 7, size of lhs = 15:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V5,V10), P_sdtasdt0-{F}(V3,V5,V11), P_sdtasdt0-{F}(V2,V5,V12), P_sdtpldt0-{F}(V11,V12,V13), aElement0-{F}(V5), V10 == V13 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #17: input, references = 6, size of lhs = 8:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtasdt0-{F}(V2,V3,V4), P_smndt0-{F}(V3,V5), P_sdtasdt0-{F}(V3,V2,V6), aElement0-{F}(V3), V4 == V5 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #18: input, references = 4, size of lhs = 8:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtasdt0-{F}(V2,V3,V4), P_smndt0-{F}(V3,V5), P_sdtasdt0-{F}(V3,V2,V6), aElement0-{F}(V3), V5 == V6 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #19: input, references = 7, size of lhs = 4:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xx-{F}(V3) | aElement0-{T}(V3)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #20: input, references = 5, size of lhs = 6:
% 2.14/2.31 P_sz00-{F}(V5), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), P_xx-{F}(V3), P_sdtasdt0-{F}(V3,V5,V5), P_sdtasdt0-{F}(V5,V3,V5) | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #21: input, references = 4, size of lhs = 0:
% 2.14/2.31 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #22: input, references = 4, size of lhs = 0:
% 2.14/2.31 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #23: input, references = 10, size of lhs = 1:
% 2.14/2.31 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #24: input, references = 9, size of lhs = 2:
% 2.14/2.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #25: input, references = 11, size of lhs = 2:
% 2.14/2.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #26: input, references = 5, size of lhs = 0:
% 2.14/2.31 FALSE | EXISTS V0: P_xx-{T}(V0)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 number of initial rules = 27
% 2.14/2.31
% 2.14/2.31 Simplifiers:
% 2.14/2.31 #27: unsound, references = 3, size of lhs = 3:
% 2.14/2.31 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #28: unsound, references = 3, size of lhs = 3:
% 2.14/2.31 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #29: unsound, references = 3, size of lhs = 3:
% 2.14/2.31 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #30: unsound, references = 3, size of lhs = 3:
% 2.14/2.31 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #31: unsound, references = 3, size of lhs = 3:
% 2.14/2.31 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #32: unsound, references = 3, size of lhs = 3:
% 2.14/2.31 P_xx-{F}(V0), P_xx-{F}(V1), V0 == V1 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 number of simplifiers = 6
% 2.14/2.31
% 2.14/2.31 Learnt:
% 2.14/2.31 #41: mergings( V2 == V4, V0 == V5; #37 ), references = 1, size of lhs = 7:
% 2.14/2.31 P_xx-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_smndt0-{F}(V0,V3), P_sdtpldt0-{F}(V0,V3,V4), V4 == V1, P_sdtpldt0-{F}(V3,V0,V5) | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #45: mergings( V2 == V4, V0 == V5, V7 == V4; #38 ), references = 1, size of lhs = 7:
% 2.14/2.31 P_xx-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_smndt0-{F}(V0,V3), P_sdtpldt0-{F}(V0,V3,V1), P_sdtpldt0-{F}(V3,V0,V4), V1 == V4 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #50: mergings( V2 == V4, V3 == V5; #46 ), references = 2, size of lhs = 4:
% 2.14/2.31 P_xx-{F}(V0), P_smndt0-{F}(V0,V0), P_sz00-{F}(V1), P_sz10-{F}(V2) | P_sdtpldt0-{T}(V0,V0,V1)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #54: exists( #24, #7 ), references = 1, size of lhs = 3:
% 2.14/2.31 P_sz00-{F}(V0), aElement0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #55: exists( #24, #9 ), references = 1, size of lhs = 4:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_smndt0-{F}(V2,V2) | P_sdtpldt0-{T}(V2,V2,V0)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #60: exists( #25, #13 ), references = 1, size of lhs = 3:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #62: exists( #23, #20 ), references = 2, size of lhs = 5:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xx-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0), P_sdtasdt0-{F}(V0,V2,V0) | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #66: exists( #24, #10 ), references = 1, size of lhs = 6:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_smndt0-{F}(V2,V3), P_sdtpldt0-{F}(V3,V2,V4), V0 == V4 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #67: exists( #24, #8 ), references = 1, size of lhs = 4:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3) | P_sdtpldt0-{T}(V0,V2,V2)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #68: exists( #24, #5 ), references = 6, size of lhs = 5:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4) | P_sdtpldt0-{T}(V2,V3,V4)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #70: exists( #24, #64 ), references = 5, size of lhs = 4:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_smndt0-{F}(V2,V3) | P_sdtpldt0-{T}(V3,V2,V0)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #89: mergings( V2 == V4, V4 == V6, V6 == V0, V3 == V5, V5 == V7, V7 == V8; #80 ), references = 1, size of lhs = 3:
% 2.14/2.31 aElement0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_smndt0-{T}(V0,V0)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #103: mergings( V3 == V1, V4 == V5; #98 ), references = 4, size of lhs = 4:
% 2.14/2.31 aElement0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #111: exists( #25, #13 ), references = 1, size of lhs = 5:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), V3 == V2 | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #113: mergings( V4 == V1; #108 ), references = 3, size of lhs = 4:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V2) | P_sdtasdt0-{T}(V1,V2,V2)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #114: exists( #25, #11 ), references = 8, size of lhs = 5:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4) | P_sdtasdt0-{T}(V2,V3,V4)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #116: exists( #25, #110 ), references = 2, size of lhs = 3:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2) | P_sdtasdt0-{T}(V2,V1,V2)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #119: exists( #23, #17 ), references = 1, size of lhs = 6:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aElement0-{F}(V3), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5) | P_smndt0-{T}(V3,V4)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #120: exists( #23, #18 ), references = 1, size of lhs = 6:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aElement0-{F}(V3), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5) | P_smndt0-{T}(V3,V5)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #144: mergings( V1 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V12, V11 == V12; #131 ), references = 1, size of lhs = 5:
% 2.14/2.31 aElement0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_smndt0-{F}(V0,V0), P_sz00-{F}(V0), P_sz10-{F}(V0) | P_xx-{T}(V0)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #168: exists( #25, #15 ), references = 1, size of lhs = 12:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V2,V4,V9), P_sdtpldt0-{F}(V8,V9,V10) | P_sdtasdt0-{T}(V4,V4,V7)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #169: exists( #25, #16 ), references = 1, size of lhs = 12:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V2,V4,V9), P_sdtpldt0-{F}(V8,V9,V10) | P_sdtasdt0-{T}(V4,V4,V10)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #184: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #178 ), references = 1, size of lhs = 10:
% 2.14/2.31 aElement0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V0), P_sdtasdt0-{F}(V2,V3,V0), P_sdtpldt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V4,V3,V6) | P_sdtasdt0-{T}(V3,V3,V5)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #189: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #179 ), references = 1, size of lhs = 10:
% 2.14/2.31 aElement0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V0), P_sdtasdt0-{F}(V2,V3,V0), P_sdtpldt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V4,V3,V6) | P_sdtasdt0-{T}(V3,V3,V6)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #204: exists( #25, #17 ), references = 1, size of lhs = 5:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), P_smndt0-{F}(V1,V2), aElement0-{F}(V2), P_smndt0-{F}(V2,V3) | P_sdtasdt0-{T}(V2,V2,V3)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #208: exists( #24, #6 ), references = 1, size of lhs = 8:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V5), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V6,V2,V7) | P_sdtpldt0-{T}(V5,V4,V7)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #209: exists( #24, #15 ), references = 1, size of lhs = 12:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtasdt0-{F}(V2,V5,V8), P_sdtasdt0-{F}(V4,V5,V9) | P_sdtpldt0-{T}(V7,V8,V6)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #210: exists( #24, #16 ), references = 1, size of lhs = 12:
% 2.14/2.31 P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aElement0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtasdt0-{F}(V2,V5,V8), P_sdtasdt0-{F}(V4,V5,V9) | P_sdtpldt0-{T}(V7,V8,V9)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #221: mergings( V3 == V5, V4 == V6; #216 ), references = 3, size of lhs = 6:
% 2.14/2.31 aElement0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), P_smndt0-{F}(V2,V0), aElement0-{F}(V3), P_smndt0-{F}(V3,V4) | P_sdtasdt0-{T}(V3,V0,V4)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #246: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #239 ), references = 1, size of lhs = 7:
% 2.14/2.31 aElement0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aElement0-{F}(V2), aElement0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V0), P_sdtpldt0-{F}(V0,V2,V4) | P_smndt0-{T}(V3,V4)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #262: mergings( V3 == V5, V4 == V6; #258 ), references = 3, size of lhs = 13:
% 2.14/2.31 aElement0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aElement0-{F}(V3), aElement0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aElement0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V0,V5,V8)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #265: mergings( V3 == V5, V4 == V6; #259 ), references = 1, size of lhs = 13:
% 2.14/2.31 aElement0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aElement0-{F}(V3), aElement0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aElement0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V0,V5,V11)
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #305: mergings( V2 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V16, V3 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V18; #290 ), references = 1, size of lhs = 11:
% 2.14/2.31 aElement0-{F}(V0), aElement0-{F}(V1), P_sz00-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V1), aElement0-{F}(V3), P_xx-{F}(V3), P_sdtasdt0-{F}(V3,V2,V3), P_sdtasdt0-{F}(V2,V3,V3), P_sz10-{F}(V4), P_smndt0-{F}(V4,V0) | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #320: mergings( V2 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V16, V3 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V18, V7 == V19; #291 ), references = 1, size of lhs = 11:
% 2.14/2.31 aElement0-{F}(V0), aElement0-{F}(V1), P_sz00-{F}(V1), aElement0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V1), aElement0-{F}(V3), P_xx-{F}(V3), P_sdtasdt0-{F}(V3,V2,V3), P_sdtasdt0-{F}(V2,V3,V3), P_sz10-{F}(V4), P_smndt0-{F}(V4,V0) | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #355: mergings( V2 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V3 == V4, V4 == V7, V7 == V0, V0 == V11, V11 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22; #334 ), references = 1, size of lhs = 5:
% 2.14/2.31 aElement0-{F}(V0), P_sz10-{F}(V0), aElement0-{F}(V1), P_sz00-{F}(V1), P_xx-{F}(V2) | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #378: mergings( V1 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V2 == V3, V3 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22; #356 ), references = 1, size of lhs = 4:
% 2.14/2.31 aElement0-{F}(V0), P_sz10-{F}(V0), aElement0-{F}(V1), P_sz00-{F}(V1) | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #395: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #381 ), references = 1, size of lhs = 2:
% 2.14/2.31 aElement0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 #400: exists( #21, #396 ), references = 1, size of lhs = 0:
% 2.14/2.31 FALSE | FALSE
% 2.14/2.31 (used 0 times, uses = {})
% 2.14/2.31
% 2.14/2.31 number of learnt formulas = 38
% 2.14/2.31
% 2.14/2.31
% 2.14/2.31 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.31
% 2.14/2.31 randbase = 1
%------------------------------------------------------------------------------