%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN005-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 0.36s 0.52s
% Output : Refutation 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 21:13:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/0.52 GeoParameters:
% 0.36/0.52
% 0.36/0.52 tptp_input = 1
% 0.36/0.52 tptp_output = 0
% 0.36/0.52 nonempty = 1
% 0.36/0.52 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.52 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.36/0.52
% 0.36/0.52
% 0.36/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.52
% 0.36/0.52 RuleSystem INPUT:
% 0.36/0.52
% 0.36/0.52 Initial Rules:
% 0.36/0.52 #0: input, references = 6, size of lhs = 2:
% 0.36/0.52 P_zero-{F}(V0), less_equal-{F}(V1,V2) | quotient-{T}(V1,V2,V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #1: input, references = 4, size of lhs = 2:
% 0.36/0.52 P_zero-{F}(V0), quotient-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #2: input, references = 3, size of lhs = 2:
% 0.36/0.52 P_zero-{F}(V0), quotient-{F}(V1,V3,V2) | less_equal-{T}(V2,V1)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #3: input, references = 4, size of lhs = 6:
% 0.36/0.52 P_zero-{F}(V0), quotient-{F}(V3,V4,V1), quotient-{F}(V5,V6,V2), quotient-{F}(V7,V6,V4), quotient-{F}(V8,V7,V5), quotient-{F}(V8,V6,V3) | less_equal-{T}(V1,V2)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #4: input, references = 6, size of lhs = 2:
% 0.36/0.52 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #5: input, references = 6, size of lhs = 4:
% 0.36/0.52 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #6: input, references = 5, size of lhs = 3:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #7: input, references = 6, size of lhs = 3:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V4) | quotient-{T}(V2,V3,V4)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #8: input, references = 4, size of lhs = 5:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V5,V4,V2), quotient-{F}(V5,V4,V3), V2 == V3 | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #9: input, references = 3, size of lhs = 3:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V1,V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #10: input, references = 3, size of lhs = 3:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V0,V2,V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #11: input, references = 3, size of lhs = 3:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V2,V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #12: input, references = 4, size of lhs = 3:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V0,V2)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #13: input, references = 5, size of lhs = 4:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3) | less_equal-{T}(V2,V3)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #14: input, references = 6, size of lhs = 5:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4) | less_equal-{T}(V3,V4)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #15: input, references = 6, size of lhs = 6:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), less_equal-{F}(V2,V4) | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #16: input, references = 4, size of lhs = 0:
% 0.36/0.52 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #17: input, references = 4, size of lhs = 0:
% 0.36/0.52 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #18: input, references = 5, size of lhs = 2:
% 0.36/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #19: input, references = 4, size of lhs = 0:
% 0.36/0.52 FALSE | EXISTS V0: P_x-{T}(V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #20: input, references = 6, size of lhs = 0:
% 0.36/0.52 FALSE | EXISTS V0: P_y-{T}(V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #21: input, references = 7, size of lhs = 0:
% 0.36/0.52 FALSE | EXISTS V0: P_z-{T}(V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 number of initial rules = 22
% 0.36/0.52
% 0.36/0.52 Simplifiers:
% 0.36/0.52 #22: unsound, references = 3, size of lhs = 3:
% 0.36/0.52 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #23: unsound, references = 3, size of lhs = 3:
% 0.36/0.52 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #24: unsound, references = 3, size of lhs = 3:
% 0.36/0.52 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #25: unsound, references = 3, size of lhs = 3:
% 0.36/0.52 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #26: unsound, references = 3, size of lhs = 3:
% 0.36/0.52 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #27: unsound, references = 3, size of lhs = 3:
% 0.36/0.52 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 number of simplifiers = 6
% 0.36/0.52
% 0.36/0.52 Learnt:
% 0.36/0.52 #37: mergings( V1 == V5, V2 == V6, V3 == V4, V4 == V7; #32 ), references = 1, size of lhs = 4:
% 0.36/0.52 P_x-{F}(V0), P_y-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2) | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #44: mergings( V1 == V3, V3 == V5, V2 == V4; #40 ), references = 1, size of lhs = 3:
% 0.36/0.52 P_x-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1) | P_y-{T}(V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #49: mergings( V1 == V2; #47 ), references = 1, size of lhs = 4:
% 0.36/0.52 P_x-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_y-{F}(V2) | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #52: mergings( V1 == V2; #50 ), references = 1, size of lhs = 3:
% 0.36/0.52 P_x-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #60: mergings( V1 == V3, V3 == V6, V2 == V4; #56 ), references = 1, size of lhs = 4:
% 0.36/0.52 P_y-{F}(V0), P_identity-{F}(V0), P_x-{F}(V1), P_zero-{F}(V2) | P_z-{T}(V0)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #68: mergings( V3 == V5, V4 == V6; #65 ), references = 1, size of lhs = 3:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V2,V3,V4) | P_divide-{T}(V2,V3,V4)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #89: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V9, V5 == V7; #83 ), references = 2, size of lhs = 5:
% 0.36/0.52 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V1), quotient-{F}(V5,V2,V4) | P_divide-{T}(V5,V3,V1)
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #107: mergings( V1 == V2, V2 == V7, V7 == V9, V9 == V10, V3 == V6, V6 == V8, V8 == V11, V4 == V12, V5 == V13; #97 ), references = 1, size of lhs = 5:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), quotient-{F}(V2,V3,V0) | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #121: mergings( V1 == V3, V3 == V4, V4 == V8, V8 == V10, V10 == V11, V2 == V5, V5 == V7, V7 == V9, V9 == V12, V6 == V13; #110 ), references = 1, size of lhs = 3:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2) | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #132: mergings( V1 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V10, V2 == V5, V5 == V6, V6 == V8, V8 == V11; #122 ), references = 1, size of lhs = 2:
% 0.36/0.52 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #139: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #133 ), references = 1, size of lhs = 1:
% 0.36/0.52 P_zero-{F}(V0) | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 #141: exists( #16, #133 ), references = 1, size of lhs = 0:
% 0.36/0.52 FALSE | FALSE
% 0.36/0.52 (used 0 times, uses = {})
% 0.36/0.52
% 0.36/0.52 number of learnt formulas = 12
% 0.36/0.52
% 0.36/0.52
% 0.36/0.52 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.52
% 0.36/0.52 randbase = 1
%------------------------------------------------------------------------------