TSTP Solution File: HEN005-5 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN005-5 : TPTP v8.1.0. Released v1.0.0.
% 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 06:04:41 EDT 2022
% Result : Unsatisfiable 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN005-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n029.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 21:12:41 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.55/0.76 GeoParameters:
% 0.55/0.76
% 0.55/0.76 tptp_input = 1
% 0.55/0.76 tptp_output = 0
% 0.55/0.76 nonempty = 1
% 0.55/0.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.76
% 0.55/0.76 RuleSystem INPUT:
% 0.55/0.76
% 0.55/0.76 Initial Rules:
% 0.55/0.76 #0: input, references = 4, size of lhs = 4:
% 0.55/0.76 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V3,V1,V4), V4 == V0 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #1: input, references = 4, size of lhs = 8:
% 0.55/0.76 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
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #2: input, references = 4, size of lhs = 3:
% 0.55/0.76 P_zero-{F}(V0), P_divide-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #3: input, references = 7, size of lhs = 4:
% 0.55/0.76 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V2,V1,V0), V1 == V2 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #4: input, references = 4, size of lhs = 4:
% 0.55/0.76 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #5: input, references = 4, size of lhs = 6:
% 0.55/0.76 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
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #6: input, references = 4, size of lhs = 8:
% 0.55/0.76 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), V6 == V0 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #7: input, references = 4, size of lhs = 8:
% 0.55/0.76 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}(V2,V5,V0) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #8: input, references = 18, size of lhs = 2:
% 0.55/0.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #9: input, references = 4, size of lhs = 0:
% 0.55/0.76 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #10: input, references = 4, size of lhs = 0:
% 0.55/0.76 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #11: input, references = 4, size of lhs = 0:
% 0.55/0.76 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #12: input, references = 6, size of lhs = 0:
% 0.55/0.76 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #13: input, references = 8, size of lhs = 0:
% 0.55/0.76 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 number of initial rules = 14
% 0.55/0.76
% 0.55/0.76 Simplifiers:
% 0.55/0.76 #14: unsound, references = 3, size of lhs = 3:
% 0.55/0.76 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #15: unsound, references = 3, size of lhs = 3:
% 0.55/0.76 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #16: unsound, references = 3, size of lhs = 3:
% 0.55/0.76 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #17: unsound, references = 3, size of lhs = 3:
% 0.55/0.76 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #18: unsound, references = 3, size of lhs = 3:
% 0.55/0.76 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #19: unsound, references = 3, size of lhs = 3:
% 0.55/0.76 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 number of simplifiers = 6
% 0.55/0.76
% 0.55/0.76 Learnt:
% 0.55/0.76 #21: exists( #8, #4 ), references = 4, size of lhs = 3:
% 0.55/0.76 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V1,V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #23: exists( #8, #7 ), references = 5, size of lhs = 7:
% 0.55/0.76 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), P_divide-{F}(V3,V4,V5) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #25: exists( #8, #5 ), references = 3, size of lhs = 4:
% 0.55/0.76 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_divide-{T}(V2,V3,V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #28: exists( #8, #2 ), references = 7, size of lhs = 2:
% 0.55/0.76 P_zero-{F}(V0), #-{F} V1 | P_divide-{T}(V0,V1,V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #29: exists( #8, #0 ), references = 3, size of lhs = 2:
% 0.55/0.76 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | P_divide-{T}(V3,V1,V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #35: exists( #13, #31 ), references = 1, size of lhs = 4:
% 0.55/0.76 P_zero-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #38: exists( #8, #23 ), references = 2, size of lhs = 6:
% 0.55/0.76 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
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #41: exists( #13, #39 ), references = 1, size of lhs = 4:
% 0.55/0.76 P_zero-{F}(V0), P_a-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #43: exists( #12, #40 ), references = 1, size of lhs = 3:
% 0.55/0.76 P_zero-{F}(V0), P_a-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #46: exists( #8, #6 ), references = 3, size of lhs = 6:
% 0.55/0.76 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-{T}(V3,V5,V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #55: mergings( V1 == V4, V2 == V5; #50 ), references = 1, size of lhs = 5:
% 0.55/0.76 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V2,V3) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #66: mergings( V1 == V2; #64 ), references = 1, size of lhs = 5:
% 0.55/0.76 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_divide-{F}(V1,V0,V2), P_zero-{F}(V3) | P_c-{T}(V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #75: exists( #8, #1 ), references = 1, size of lhs = 6:
% 0.55/0.76 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)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #78: exists( #8, #76 ), references = 3, size of lhs = 8:
% 0.55/0.76 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), V1 == V2, P_divide-{F}(V3,V4,V1), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V7,V3), P_divide-{F}(V7,V4,V8), P_divide-{F}(V6,V8,V2) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #81: exists( #8, #79 ), references = 1, size of lhs = 5:
% 0.55/0.76 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)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #85: exists( #8, #82 ), references = 3, size of lhs = 7:
% 0.55/0.76 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), V6 == V4, P_divide-{F}(V6,V4,V0) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #89: exists( #8, #87 ), references = 2, size of lhs = 5:
% 0.55/0.76 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
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #92: exists( #8, #90 ), references = 1, size of lhs = 2:
% 0.55/0.76 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | P_divide-{T}(V2,V2,V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #99: mergings( V1 == V2; #97 ), references = 1, size of lhs = 3:
% 0.55/0.76 P_a-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1) | P_b-{T}(V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #103: exists( #8, #101 ), references = 2, size of lhs = 6:
% 0.55/0.76 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V4,V5,V2), P_divide-{F}(V6,V5,V3), P_divide-{F}(V4,V6,V7) | P_divide-{T}(V7,V5,V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #109: mergings( V3 == V4; #107 ), references = 1, size of lhs = 7:
% 0.55/0.76 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V0,V2,V0), P_divide-{F}(V2,V3,V4), P_divide-{F}(V0,V4,V5), P_divide-{F}(V3,V4,V6), P_divide-{F}(V5,V6,V0) | P_divide-{T}(V0,V3,V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #113: exists( #8, #111 ), references = 1, size of lhs = 4:
% 0.55/0.76 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V0), P_divide-{F}(V4,V1,V3) | P_divide-{T}(V4,V2,V0)
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #129: mergings( V1 == V4, V2 == V5, V3 == V7; #123 ), references = 1, size of lhs = 5:
% 0.55/0.76 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V0) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #138: mergings( V1 == V2, V2 == V4; #133 ), references = 1, size of lhs = 3:
% 0.55/0.76 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #144: mergings( V1 == V2, V2 == V4; #139 ), references = 1, size of lhs = 2:
% 0.55/0.76 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #148: exists( #10, #139 ), references = 1, size of lhs = 1:
% 0.55/0.76 P_zero-{F}(V0) | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 #152: exists( #9, #145 ), references = 1, size of lhs = 0:
% 0.55/0.76 FALSE | FALSE
% 0.55/0.76 (used 0 times, uses = {})
% 0.55/0.76
% 0.55/0.76 number of learnt formulas = 27
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.76
% 0.55/0.76 randbase = 1
%------------------------------------------------------------------------------