%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:12:31 EDT 2022
% Result : Theorem 0.38s 0.57s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 : Fri Jul 22 23:40:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/0.57 GeoParameters:
% 0.38/0.57
% 0.38/0.57 tptp_input = 1
% 0.38/0.57 tptp_output = 0
% 0.38/0.57 nonempty = 1
% 0.38/0.57 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.38/0.57
% 0.38/0.57
% 0.38/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57
% 0.38/0.57 RuleSystem INPUT:
% 0.38/0.57
% 0.38/0.57 Initial Rules:
% 0.38/0.57 #0: input, references = 4, size of lhs = 1:
% 0.38/0.57 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #1: input, references = 3, size of lhs = 2:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #2: input, references = 3, size of lhs = 2:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #3: input, references = 3, size of lhs = 5:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #4: input, references = 3, size of lhs = 5:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #5: input, references = 4, size of lhs = 7:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V2,V3,V5), aNaturalNumber0-{F}(V3), V4 == V5 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #6: input, references = 3, size of lhs = 10:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V6,V2,V7), P_sdtpldt0-{F}(V5,V4,V8), aNaturalNumber0-{F}(V5), V7 == V8 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #7: input, references = 5, size of lhs = 6:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V3 == V2 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #8: input, references = 4, size of lhs = 6:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V2 == V4 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #9: input, references = 4, size of lhs = 7:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V5), aNaturalNumber0-{F}(V3), V4 == V5 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #10: input, references = 3, size of lhs = 10:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V5,V3,V6), P_sdtasdt0-{F}(V6,V2,V7), P_sdtasdt0-{F}(V5,V4,V8), aNaturalNumber0-{F}(V5), V7 == V8 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #11: input, references = 3, size of lhs = 6:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aNaturalNumber0-{F}(V2), V3 == V2 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #12: input, references = 3, size of lhs = 6:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aNaturalNumber0-{F}(V2), V2 == V4 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #13: input, references = 5, size of lhs = 6:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V3 == V0 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #14: input, references = 3, size of lhs = 6:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V0 == V4 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #15: input, references = 3, size of lhs = 15:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{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), aNaturalNumber0-{F}(V5), V6 == V9 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #16: input, references = 3, size of lhs = 15:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{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), aNaturalNumber0-{F}(V5), V10 == V13 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #17: input, references = 3, size of lhs = 10:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V6), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #18: input, references = 4, size of lhs = 10:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V8), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #19: input, references = 4, size of lhs = 11:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V2,V6,V4), P_sdtasdt0-{F}(V6,V2,V8), aNaturalNumber0-{F}(V6), V2 == V0, V6 == V3 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #20: input, references = 3, size of lhs = 11:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V2,V6,V7), P_sdtasdt0-{F}(V6,V2,V5), aNaturalNumber0-{F}(V6), V2 == V0, V6 == V3 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #21: input, references = 3, size of lhs = 6:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #22: input, references = 3, size of lhs = 6:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #23: input, references = 4, size of lhs = 4:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V2)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #24: input, references = 4, size of lhs = 4:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V3)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #25: input, references = 4, size of lhs = 6:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtasdt0-{F}(V2,V3,V4), V4 == V0 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #26: input, references = 4, size of lhs = 5:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V0), P_xn-{F}(V3), P_sdtasdt0-{F}(V0,V3,V4) | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #27: input, references = 4, size of lhs = 5:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V0), P_sdtasdt0-{F}(V2,V0,V4) | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #28: input, references = 4, size of lhs = 0:
% 0.38/0.57 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #29: input, references = 4, size of lhs = 0:
% 0.38/0.57 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #30: input, references = 7, size of lhs = 2:
% 0.38/0.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #31: input, references = 8, size of lhs = 2:
% 0.38/0.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #32: input, references = 4, size of lhs = 0:
% 0.38/0.57 FALSE | EXISTS V0: P_xm-{T}(V0)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #33: input, references = 5, size of lhs = 0:
% 0.38/0.57 FALSE | EXISTS V0: P_xn-{T}(V0)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 number of initial rules = 34
% 0.38/0.57
% 0.38/0.57 Simplifiers:
% 0.38/0.57 #34: unsound, references = 3, size of lhs = 3:
% 0.38/0.57 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #35: unsound, references = 3, size of lhs = 3:
% 0.38/0.57 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #36: unsound, references = 3, size of lhs = 3:
% 0.38/0.57 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #37: unsound, references = 3, size of lhs = 3:
% 0.38/0.57 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #38: unsound, references = 3, size of lhs = 3:
% 0.38/0.57 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #39: unsound, references = 3, size of lhs = 3:
% 0.38/0.57 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 number of simplifiers = 6
% 0.38/0.57
% 0.38/0.57 Learnt:
% 0.38/0.57 #42: exists( #30, #7 ), references = 1, size of lhs = 3:
% 0.38/0.57 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #45: exists( #30, #8 ), references = 1, size of lhs = 4:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3) | P_sdtpldt0-{T}(V0,V2,V2)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #46: exists( #30, #5 ), references = 2, size of lhs = 5:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4) | P_sdtpldt0-{T}(V2,V3,V4)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #52: mergings( V1 == V4, V3 == V5; #49 ), references = 1, size of lhs = 8:
% 0.38/0.57 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V2,V3,V3), P_sdtpldt0-{F}(V3,V2,V4) | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #59: exists( #31, #13 ), references = 1, size of lhs = 3:
% 0.38/0.57 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #68: mergings( V3 == V1, V4 == V5; #63 ), references = 1, size of lhs = 4:
% 0.38/0.57 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #75: exists( #31, #26 ), references = 1, size of lhs = 4:
% 0.38/0.57 P_sz00-{F}(V0), P_xm-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2) | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #76: exists( #31, #13 ), references = 2, size of lhs = 5:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #77: exists( #31, #9 ), references = 3, size of lhs = 5:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4) | P_sdtasdt0-{T}(V2,V3,V4)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #79: exists( #33, #72 ), references = 2, size of lhs = 3:
% 0.38/0.57 P_sz00-{F}(V0), P_xm-{F}(V0), P_sz10-{F}(V1) | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #81: exists( #31, #27 ), references = 2, size of lhs = 4:
% 0.38/0.57 P_sz00-{F}(V0), P_xn-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2) | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #83: exists( #31, #25 ), references = 2, size of lhs = 4:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | P_sdtasdt0-{T}(V2,V3,V0)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #87: exists( #31, #76 ), references = 2, size of lhs = 3:
% 0.38/0.57 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #123: mergings( V1 == V3, V3 == V8, V8 == V10, V10 == V12, V12 == V14, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V5 == V7; #109 ), references = 1, size of lhs = 5:
% 0.38/0.57 P_xm-{F}(V0), aNaturalNumber0-{F}(V1), V0 == V1, P_sz00-{F}(V1), P_sz10-{F}(V2) | P_xn-{T}(V1)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #143: mergings( V1 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V13, V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14; #130 ), references = 1, size of lhs = 3:
% 0.38/0.57 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xm-{T}(V0)
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #151: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #145 ), references = 1, size of lhs = 2:
% 0.38/0.57 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 #154: exists( #28, #152 ), references = 1, size of lhs = 0:
% 0.38/0.57 FALSE | FALSE
% 0.38/0.57 (used 0 times, uses = {})
% 0.38/0.57
% 0.38/0.57 number of learnt formulas = 17
% 0.38/0.57
% 0.38/0.57
% 0.38/0.57 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57
% 0.38/0.57 randbase = 1
%------------------------------------------------------------------------------