TSTP Solution File: HEN005-6 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN005-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN005-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n012.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 21:03:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.53 GeoParameters:
% 0.19/0.53
% 0.19/0.53 tptp_input = 1
% 0.19/0.53 tptp_output = 0
% 0.19/0.53 nonempty = 1
% 0.19/0.53 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 RuleSystem INPUT:
% 0.19/0.53
% 0.19/0.53 Initial Rules:
% 0.19/0.53 #0: input, references = 4, size of lhs = 4:
% 0.19/0.53 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #1: input, references = 7, size of lhs = 2:
% 0.19/0.53 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #2: input, references = 4, size of lhs = 2:
% 0.19/0.53 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #3: input, references = 4, size of lhs = 6:
% 0.19/0.53 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)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #4: input, references = 6, size of lhs = 2:
% 0.19/0.53 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #5: input, references = 8, size of lhs = 4:
% 0.19/0.53 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #6: input, references = 5, size of lhs = 3:
% 0.19/0.53 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #7: input, references = 3, size of lhs = 4:
% 0.19/0.53 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #8: input, references = 4, size of lhs = 4:
% 0.19/0.53 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #9: input, references = 5, size of lhs = 4:
% 0.19/0.53 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | less_equal-{T}(V2,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #10: input, references = 6, size of lhs = 5:
% 0.19/0.53 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | less_equal-{T}(V3,V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #11: input, references = 6, size of lhs = 6:
% 0.19/0.53 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), less_equal-{F}(V2,V4) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #12: input, references = 7, size of lhs = 2:
% 0.19/0.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #13: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #14: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #15: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #16: input, references = 6, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #17: input, references = 7, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of initial rules = 18
% 0.19/0.53
% 0.19/0.53 Simplifiers:
% 0.19/0.53 #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of simplifiers = 6
% 0.19/0.53
% 0.19/0.53 Learnt:
% 0.19/0.53 #33: mergings( V1 == V5, V2 == V6, V3 == V4, V4 == V7; #28 ), references = 1, size of lhs = 4:
% 0.19/0.53 P_a-{F}(V0), P_b-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #40: mergings( V1 == V3, V3 == V5, V2 == V4; #36 ), references = 1, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1) | P_b-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #45: mergings( V1 == V2; #43 ), references = 1, size of lhs = 4:
% 0.19/0.53 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #48: mergings( V1 == V2; #46 ), references = 1, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #56: mergings( V1 == V3, V3 == V6, V2 == V4; #52 ), references = 1, size of lhs = 4:
% 0.19/0.53 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2) | P_c-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #66: exists( #12, #0 ), references = 4, size of lhs = 2:
% 0.19/0.53 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #67: exists( #12, #8 ), references = 2, size of lhs = 3:
% 0.19/0.53 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V0,V2,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #86: mergings( V3 == V4, V4 == V5; #83 ), references = 4, size of lhs = 5:
% 0.19/0.53 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)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #97: mergings( V3 == V4, V4 == V5; #94 ), references = 2, size of lhs = 5:
% 0.19/0.53 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), less_equal-{F}(V3,V2), V3 == V2, P_divide-{F}(V4,V1,V3) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #114: mergings( V3 == V4, V4 == V5; #110 ), references = 2, size of lhs = 4:
% 0.19/0.53 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)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #116: mergings( V3 == V4; #111 ), references = 1, size of lhs = 5:
% 0.19/0.53 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), P_divide-{F}(V3,V1,V2), P_divide-{F}(V4,V1,V0), P_divide-{F}(V5,V3,V4) | P_divide-{T}(V5,V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #129: mergings( V2 == V6, V6 == V7, V1 == V3, V3 == V8, V4 == V9, V5 == V10; #122 ), references = 1, size of lhs = 5:
% 0.19/0.53 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #140: mergings( V1 == V4, V4 == V7, V7 == V8, V2 == V3, V3 == V5, V5 == V9, V6 == V10; #132 ), references = 1, size of lhs = 3:
% 0.19/0.53 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #148: mergings( V1 == V4, V4 == V6, V6 == V7, V2 == V3, V3 == V5, V5 == V8; #141 ), references = 1, size of lhs = 2:
% 0.19/0.53 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #153: mergings( V1 == V2, V2 == V3, V3 == V4; #149 ), references = 1, size of lhs = 1:
% 0.19/0.53 P_zero-{F}(V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #155: exists( #13, #149 ), references = 1, size of lhs = 0:
% 0.19/0.53 FALSE | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of learnt formulas = 16
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 randbase = 1
%------------------------------------------------------------------------------