%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN008-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:04:43 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN008-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 21:06:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 GeoParameters:
% 0.18/0.51
% 0.18/0.51 tptp_input = 1
% 0.18/0.51 tptp_output = 0
% 0.18/0.51 nonempty = 1
% 0.18/0.51 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 RuleSystem INPUT:
% 0.18/0.51
% 0.18/0.51 Initial Rules:
% 0.18/0.51 #0: input, references = 4, size of lhs = 4:
% 0.18/0.51 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V3,V1,V4), V4 == V0 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #1: input, references = 4, size of lhs = 8:
% 0.18/0.51 P_zero-{F}(V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V4,V5,V6), P_divide-{F}(V1,V2,V7), P_divide-{F}(V7,V3,V8), P_divide-{F}(V6,V8,V9), V9 == V0 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #2: input, references = 4, size of lhs = 3:
% 0.18/0.51 P_zero-{F}(V0), P_divide-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #3: input, references = 6, size of lhs = 4:
% 0.18/0.51 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V2,V1,V0), V1 == V2 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #4: input, references = 4, size of lhs = 4:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #5: input, references = 4, size of lhs = 6:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), V4 == V0 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #6: input, references = 5, size of lhs = 9:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_c-{F}(V5), P_divide-{F}(V2,V5,V6), P_divide-{F}(V3,V5,V7), P_divide-{F}(V6,V7,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #7: input, references = 15, size of lhs = 2:
% 0.18/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #8: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #9: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #10: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #11: input, references = 6, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #12: input, references = 7, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of initial rules = 13
% 0.18/0.51
% 0.18/0.51 Simplifiers:
% 0.18/0.51 #13: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #14: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #15: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #16: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #17: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #18: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of simplifiers = 6
% 0.18/0.51
% 0.18/0.51 Learnt:
% 0.18/0.51 #20: exists( #7, #4 ), references = 2, size of lhs = 3:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #22: exists( #7, #6 ), references = 5, size of lhs = 8:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V2,V4,V5), P_divide-{F}(V3,V4,V6), P_divide-{F}(V5,V6,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #24: exists( #7, #5 ), references = 3, size of lhs = 4:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_divide-{T}(V2,V3,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #27: exists( #7, #2 ), references = 8, size of lhs = 2:
% 0.18/0.51 P_zero-{F}(V0), #-{F} V1 | P_divide-{T}(V0,V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #28: exists( #7, #0 ), references = 2, size of lhs = 2:
% 0.18/0.51 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | P_divide-{T}(V3,V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #35: mergings( V1 == V2; #32 ), references = 1, size of lhs = 5:
% 0.18/0.51 P_a-{F}(V0), P_b-{F}(V0), P_zero-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #42: exists( #7, #38 ), references = 2, size of lhs = 6:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V2,V4,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #45: exists( #12, #43 ), references = 1, size of lhs = 4:
% 0.18/0.51 P_zero-{F}(V0), P_a-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #47: exists( #11, #44 ), references = 1, size of lhs = 3:
% 0.18/0.51 P_zero-{F}(V0), P_a-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #50: exists( #7, #1 ), references = 2, size of lhs = 6:
% 0.18/0.51 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V3,V5,V6), P_divide-{F}(V1,V4,V7), P_divide-{F}(V7,V2,V8) | P_divide-{T}(V6,V8,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #56: exists( #7, #54 ), references = 5, size of lhs = 5:
% 0.18/0.51 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V4), P_divide-{F}(V3,V5,V1), P_divide-{F}(V5,V2,V6) | P_divide-{T}(V4,V6,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #67: exists( #7, #63 ), references = 1, size of lhs = 7:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3), P_divide-{F}(V2,V2,V4), P_divide-{F}(V4,V3,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #72: exists( #12, #68 ), references = 1, size of lhs = 5:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V2,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #79: exists( #7, #77 ), references = 1, size of lhs = 5:
% 0.18/0.51 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), P_divide-{F}(V3,V2,V0), V3 == V2, P_divide-{F}(V4,V1,V3) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #82: exists( #7, #80 ), references = 1, size of lhs = 2:
% 0.18/0.51 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | P_divide-{T}(V2,V2,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #89: mergings( V1 == V2; #87 ), references = 1, size of lhs = 3:
% 0.18/0.51 P_a-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1) | P_b-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #103: exists( #7, #99 ), references = 1, size of lhs = 9:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V3,V4,V5), P_divide-{F}(V6,V4,V5), P_divide-{F}(V2,V6,V7), P_divide-{F}(V7,V4,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #104: exists( #7, #100 ), references = 1, size of lhs = 10:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_c-{F}(V5), P_divide-{F}(V3,V5,V6), P_divide-{F}(V7,V5,V6), P_divide-{F}(V2,V7,V8), P_divide-{F}(V8,V5,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #107: exists( #7, #101 ), references = 2, size of lhs = 7:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V5,V4,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #110: exists( #12, #108 ), references = 1, size of lhs = 5:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #114: mergings( V1 == V3; #112 ), references = 1, size of lhs = 3:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #117: mergings( V1 == V3; #115 ), references = 1, size of lhs = 2:
% 0.18/0.51 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #119: exists( #9, #115 ), references = 1, size of lhs = 1:
% 0.18/0.51 P_zero-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #121: exists( #8, #118 ), references = 1, size of lhs = 0:
% 0.18/0.51 FALSE | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of learnt formulas = 24
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 randbase = 1
%------------------------------------------------------------------------------