TSTP Solution File: HEN008-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN008-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN008-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 21:17:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.74 GeoParameters:
% 0.53/0.74
% 0.53/0.74 tptp_input = 1
% 0.53/0.74 tptp_output = 0
% 0.53/0.74 nonempty = 1
% 0.53/0.74 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.74 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.53/0.74
% 0.53/0.74
% 0.53/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.74
% 0.53/0.74 RuleSystem INPUT:
% 0.53/0.74
% 0.53/0.74 Initial Rules:
% 0.53/0.74 #0: input, references = 4, size of lhs = 4:
% 0.53/0.74 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #1: input, references = 7, size of lhs = 2:
% 0.53/0.74 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #2: input, references = 5, size of lhs = 2:
% 0.53/0.74 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #3: input, references = 4, size of lhs = 6:
% 0.53/0.74 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) | less_equal-{T}(V6,V8)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #4: input, references = 9, size of lhs = 2:
% 0.53/0.74 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #5: input, references = 7, size of lhs = 4:
% 0.53/0.74 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #6: input, references = 3, size of lhs = 3:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #7: input, references = 3, size of lhs = 4:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #8: input, references = 4, size of lhs = 4:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #9: input, references = 4, size of lhs = 4:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V2,V3), V3 == V0 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #10: input, references = 4, size of lhs = 5:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), V3 == V2 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #11: input, references = 3, size of lhs = 6:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), less_equal-{F}(V4,V5), less_equal-{F}(V6,V4) | less_equal-{T}(V6,V5)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #12: input, references = 4, size of lhs = 7:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_divide-{F}(V4,V5,V7), P_divide-{F}(V4,V6,V8), less_equal-{F}(V7,V6) | less_equal-{T}(V8,V5)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #13: input, references = 4, size of lhs = 7:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), less_equal-{F}(V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V4,V8) | less_equal-{T}(V7,V8)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #14: input, references = 4, size of lhs = 5:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4) | less_equal-{T}(V2,V4)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #15: input, references = 7, size of lhs = 9:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V2,V5,V6), P_divide-{F}(V4,V5,V7), less_equal-{F}(V6,V7) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #16: input, references = 14, size of lhs = 2:
% 0.53/0.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #17: input, references = 4, size of lhs = 0:
% 0.53/0.74 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #18: input, references = 4, size of lhs = 0:
% 0.53/0.74 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #19: input, references = 4, size of lhs = 0:
% 0.53/0.74 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #20: input, references = 5, size of lhs = 0:
% 0.53/0.74 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #21: input, references = 7, size of lhs = 0:
% 0.53/0.74 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 number of initial rules = 22
% 0.53/0.74
% 0.53/0.74 Simplifiers:
% 0.53/0.74 #22: unsound, references = 3, size of lhs = 3:
% 0.53/0.74 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #23: unsound, references = 3, size of lhs = 3:
% 0.53/0.74 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #24: unsound, references = 3, size of lhs = 3:
% 0.53/0.74 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #25: unsound, references = 3, size of lhs = 3:
% 0.53/0.74 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #26: unsound, references = 3, size of lhs = 3:
% 0.53/0.74 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #27: unsound, references = 3, size of lhs = 3:
% 0.53/0.74 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 number of simplifiers = 6
% 0.53/0.74
% 0.53/0.74 Learnt:
% 0.53/0.74 #30: exists( #16, #9 ), references = 3, size of lhs = 3:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V2,V0)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #33: exists( #16, #0 ), references = 5, size of lhs = 2:
% 0.53/0.74 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #34: exists( #16, #8 ), references = 1, size of lhs = 3:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V0,V2,V0)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #41: mergings( V1 == V2, V2 == V3; #38 ), references = 1, size of lhs = 6:
% 0.53/0.74 P_a-{F}(V0), P_b-{F}(V0), less_equal-{F}(V0,V0), P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V0,V2) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #50: mergings( V3 == V4; #48 ), references = 2, size of lhs = 7:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V2,V5,V0) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #56: mergings( V1 == V2, V2 == V3; #53 ), references = 1, size of lhs = 5:
% 0.53/0.74 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V0,V2), P_b-{F}(V3) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #60: mergings( V1 == V2, V2 == V3; #57 ), references = 1, size of lhs = 4:
% 0.53/0.74 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V0,V2) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #64: exists( #16, #10 ), references = 1, size of lhs = 3:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | P_divide-{T}(V2,V0,V2)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #65: exists( #16, #50 ), references = 1, size of lhs = 6:
% 0.53/0.74 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
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #76: mergings( V3 == V4, V4 == V8; #73 ), references = 1, size of lhs = 6:
% 0.53/0.74 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), less_equal-{F}(V4,V5), P_divide-{F}(V6,V5,V6) | P_divide-{T}(V6,V4,V6)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #82: mergings( V4 == V5, V3 == V6; #79 ), references = 1, size of lhs = 6:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V0,V3), P_c-{F}(V4) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #86: mergings( V2 == V3, V1 == V4; #83 ), references = 1, size of lhs = 5:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V0,V3) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #100: mergings( V3 == V4, V4 == V8; #97 ), references = 2, size of lhs = 6:
% 0.53/0.74 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V2,V5), less_equal-{F}(V5,V6) | P_divide-{T}(V4,V6,V2)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #113: mergings( V3 == V5, V5 == V1, V1 == V9, V4 == V6; #108 ), references = 1, size of lhs = 5:
% 0.53/0.74 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), #-{F} V4 | P_divide-{T}(V4,V2,V4)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #132: mergings( V3 == V4, V4 == V5; #128 ), references = 1, size of lhs = 5:
% 0.53/0.74 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)
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #141: mergings( V3 == V4, V4 == V5, V5 == V6; #137 ), references = 1, size of lhs = 10:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V2,V5,V6), P_divide-{F}(V7,V5,V6), P_divide-{F}(V7,V4,V8), P_divide-{F}(V8,V5,V0) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #146: mergings( V3 == V4, V4 == V5, V5 == V6; #142 ), references = 1, size of lhs = 8:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_c-{F}(V5), P_divide-{F}(V2,V4,V6), P_divide-{F}(V6,V5,V0) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #154: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #149 ), references = 2, size of lhs = 6:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_b-{F}(V4), P_divide-{F}(V2,V4,V0) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #161: mergings( V1 == V3, V6 == V7, V2 == V4; #157 ), references = 1, size of lhs = 4:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #166: mergings( V1 == V2, V2 == V4; #163 ), references = 1, size of lhs = 2:
% 0.53/0.74 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #168: exists( #18, #163 ), references = 1, size of lhs = 1:
% 0.53/0.74 P_zero-{F}(V0) | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 #170: exists( #17, #167 ), references = 1, size of lhs = 0:
% 0.53/0.74 FALSE | FALSE
% 0.53/0.74 (used 0 times, uses = {})
% 0.53/0.74
% 0.53/0.74 number of learnt formulas = 22
% 0.53/0.74
% 0.53/0.74
% 0.53/0.74 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.74
% 0.53/0.74 randbase = 1
%------------------------------------------------------------------------------