TSTP Solution File: HEN010-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN010-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:04:44 EDT 2022
% Result : Unsatisfiable 0.67s 0.84s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HEN010-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 21:03:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.67/0.84 GeoParameters:
% 0.67/0.84
% 0.67/0.84 tptp_input = 1
% 0.67/0.84 tptp_output = 0
% 0.67/0.84 nonempty = 1
% 0.67/0.84 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.84 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.67/0.84
% 0.67/0.84
% 0.67/0.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.84 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.84
% 0.67/0.84 RuleSystem INPUT:
% 0.67/0.84
% 0.67/0.84 Initial Rules:
% 0.67/0.84 #0: input, references = 3, size of lhs = 2:
% 0.67/0.84 P_zero-{F}(V0), less_equal-{F}(V1,V2) | quotient-{T}(V1,V2,V0)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #1: input, references = 3, size of lhs = 2:
% 0.67/0.84 P_zero-{F}(V0), quotient-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #2: input, references = 4, size of lhs = 2:
% 0.67/0.84 P_zero-{F}(V0), quotient-{F}(V1,V3,V2) | less_equal-{T}(V2,V1)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #3: input, references = 4, size of lhs = 6:
% 0.67/0.84 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)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #4: input, references = 3, size of lhs = 2:
% 0.67/0.84 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #5: input, references = 4, size of lhs = 4:
% 0.67/0.84 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #6: input, references = 3, size of lhs = 3:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #7: input, references = 6, size of lhs = 3:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V4) | quotient-{T}(V2,V3,V4)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #8: input, references = 7, size of lhs = 5:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V5,V4,V2), quotient-{F}(V5,V4,V3), V2 == V3 | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #9: input, references = 3, size of lhs = 3:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V1,V0)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #10: input, references = 3, size of lhs = 3:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V0,V2,V0)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #11: input, references = 4, size of lhs = 3:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V2,V0)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #12: input, references = 4, size of lhs = 3:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V0,V2)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #13: input, references = 3, size of lhs = 4:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), less_equal-{F}(V2,V3), less_equal-{F}(V4,V2) | less_equal-{T}(V4,V3)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #14: input, references = 3, size of lhs = 5:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), less_equal-{F}(V3,V2), quotient-{F}(V6,V5,V3), quotient-{F}(V6,V2,V4) | less_equal-{T}(V4,V5)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #15: input, references = 3, size of lhs = 5:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V4,V5,V2), less_equal-{F}(V6,V5), quotient-{F}(V4,V6,V3) | less_equal-{T}(V2,V3)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #16: input, references = 3, size of lhs = 5:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V5,V4,V3), less_equal-{F}(V6,V5), quotient-{F}(V6,V4,V2) | less_equal-{T}(V2,V3)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #17: input, references = 6, size of lhs = 6:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V1,V3,V2), quotient-{F}(V1,V2,V5), quotient-{F}(V1,V5,V4), V2 == V4 | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #18: input, references = 6, size of lhs = 4:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3) | quotient-{T}(V1,V2,V3)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #19: input, references = 6, size of lhs = 5:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_idQ_idQa-{F}(V4) | quotient-{T}(V1,V3,V4)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #20: input, references = 5, size of lhs = 6:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_idQ_idQa-{F}(V4), P_idQa_Q__idQ_idQa-{F}(V5) | quotient-{T}(V3,V4,V5)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #21: input, references = 4, size of lhs = 6:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V5), P_idQ_idQa-{F}(V4), P_idQa_Q__idQ_idQa-{F}(V5) | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #22: input, references = 4, size of lhs = 0:
% 0.67/0.84 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #23: input, references = 4, size of lhs = 0:
% 0.67/0.84 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #24: input, references = 5, size of lhs = 2:
% 0.67/0.84 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #25: input, references = 4, size of lhs = 0:
% 0.67/0.84 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #26: input, references = 5, size of lhs = 0:
% 0.67/0.84 FALSE | EXISTS V0: P_idQa-{T}(V0)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #27: input, references = 5, size of lhs = 0:
% 0.67/0.84 FALSE | EXISTS V0: P_idQ_idQa-{T}(V0)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #28: input, references = 5, size of lhs = 0:
% 0.67/0.84 FALSE | EXISTS V0: P_idQa_Q__idQ_idQa-{T}(V0)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 number of initial rules = 29
% 0.67/0.84
% 0.67/0.84 Simplifiers:
% 0.67/0.84 #29: unsound, references = 3, size of lhs = 3:
% 0.67/0.84 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #30: unsound, references = 3, size of lhs = 3:
% 0.67/0.84 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #31: unsound, references = 3, size of lhs = 3:
% 0.67/0.84 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #32: unsound, references = 3, size of lhs = 3:
% 0.67/0.84 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #33: unsound, references = 3, size of lhs = 3:
% 0.67/0.84 P_idQa-{F}(V0), P_idQa-{F}(V1), V0 == V1 | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #34: unsound, references = 3, size of lhs = 3:
% 0.67/0.84 P_idQ_idQa-{F}(V0), P_idQ_idQa-{F}(V1), V0 == V1 | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #35: unsound, references = 3, size of lhs = 3:
% 0.67/0.84 P_idQa_Q__idQ_idQa-{F}(V0), P_idQa_Q__idQ_idQa-{F}(V1), V0 == V1 | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 number of simplifiers = 7
% 0.67/0.84
% 0.67/0.84 Learnt:
% 0.67/0.84 #43: mergings( V1 == V4, V2 == V5; #39 ), references = 1, size of lhs = 4:
% 0.67/0.84 P_a-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), quotient-{F}(V2,V0,V3) | P_idQa-{T}(V3)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #45: mergings( V1 == V3; #40 ), references = 1, size of lhs = 5:
% 0.67/0.84 P_a-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), quotient-{F}(V2,V3,V0), quotient-{F}(V2,V4,V3) | P_idQa-{T}(V3)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #50: mergings( V1 == V6, V2 == V7; #47 ), references = 1, size of lhs = 6:
% 0.67/0.84 P_a-{F}(V0), P_idQa-{F}(V1), P_idQ_idQa-{F}(V2), P_zero-{F}(V3), P_identity-{F}(V4), quotient-{F}(V1,V2,V5) | P_idQa_Q__idQ_idQa-{T}(V5)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #58: mergings( V1 == V5, V2 == V6; #54 ), references = 1, size of lhs = 5:
% 0.67/0.84 P_a-{F}(V0), P_idQa-{F}(V1), P_zero-{F}(V2), P_identity-{F}(V3), quotient-{F}(V3,V1,V4) | P_idQ_idQa-{T}(V4)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #60: mergings( V1 == V4; #55 ), references = 1, size of lhs = 6:
% 0.67/0.84 P_a-{F}(V0), P_idQa-{F}(V1), P_zero-{F}(V2), P_identity-{F}(V3), quotient-{F}(V3,V4,V1), quotient-{F}(V3,V5,V4) | P_idQ_idQa-{T}(V4)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #77: mergings( V1 == V6, V6 == V7, V7 == V8; #73 ), references = 2, size of lhs = 9:
% 0.67/0.84 P_identity-{F}(V0), P_a-{F}(V1), P_idQa-{F}(V2), P_idQ_idQa-{F}(V3), P_zero-{F}(V4), quotient-{F}(V5,V3,V6), quotient-{F}(V7,V5,V2), quotient-{F}(V7,V3,V8), quotient-{F}(V8,V6,V2) | P_idQa_Q__idQ_idQa-{T}(V2)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #97: mergings( V3 == V5, V4 == V6; #94 ), references = 1, size of lhs = 3:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V2,V3,V4) | P_divide-{T}(V2,V3,V4)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #122: mergings( V3 == V5, V4 == V0; #119 ), references = 2, size of lhs = 4:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V1,V2,V3), quotient-{F}(V1,V3,V4) | P_divide-{T}(V1,V4,V3)
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #144: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V12, V2 == V6, V6 == V8, V8 == V9, V9 == V13, V4 == V10, V10 == V14; #132 ), references = 1, size of lhs = 6:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), quotient-{F}(V3,V0,V3), quotient-{F}(V1,V4,V3) | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #162: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V15, V1 == V5, V5 == V9, V9 == V11, V11 == V12, V12 == V16, V3 == V7, V7 == V13, V13 == V17; #147 ), references = 1, size of lhs = 3:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #175: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V12, V1 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V13; #163 ), references = 1, size of lhs = 2:
% 0.67/0.84 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #183: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #176 ), references = 1, size of lhs = 1:
% 0.67/0.84 P_zero-{F}(V0) | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 #185: exists( #22, #176 ), references = 1, size of lhs = 0:
% 0.67/0.84 FALSE | FALSE
% 0.67/0.84 (used 0 times, uses = {})
% 0.67/0.84
% 0.67/0.84 number of learnt formulas = 13
% 0.67/0.84
% 0.67/0.84
% 0.67/0.84 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.84
% 0.67/0.84 randbase = 1
%------------------------------------------------------------------------------