TSTP Solution File: HEN009-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN009-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN009-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n018.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 21:07:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 GeoParameters:
% 0.19/0.52
% 0.19/0.52 tptp_input = 1
% 0.19/0.52 tptp_output = 0
% 0.19/0.52 nonempty = 1
% 0.19/0.52 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 RuleSystem INPUT:
% 0.19/0.52
% 0.19/0.52 Initial Rules:
% 0.19/0.52 #0: input, references = 3, size of lhs = 2:
% 0.19/0.52 P_zero-{F}(V0), less_equal-{F}(V1,V2) | quotient-{T}(V1,V2,V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #1: input, references = 5, size of lhs = 2:
% 0.19/0.52 P_zero-{F}(V0), quotient-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #2: input, references = 3, size of lhs = 2:
% 0.19/0.52 P_zero-{F}(V0), quotient-{F}(V1,V3,V2) | less_equal-{T}(V2,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #3: input, references = 3, size of lhs = 6:
% 0.19/0.52 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)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #4: input, references = 3, size of lhs = 2:
% 0.19/0.52 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #5: input, references = 4, size of lhs = 4:
% 0.19/0.52 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #6: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #7: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V4) | quotient-{T}(V2,V3,V4)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #8: input, references = 6, size of lhs = 5:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V5,V4,V2), quotient-{F}(V5,V4,V3), V2 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #9: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V1,V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #10: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V0,V2,V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #11: input, references = 5, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V2,V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #12: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V0,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #13: input, references = 3, size of lhs = 4:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), less_equal-{F}(V2,V3), less_equal-{F}(V4,V2) | less_equal-{T}(V4,V3)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #14: input, references = 5, size of lhs = 5:
% 0.19/0.52 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)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #15: input, references = 4, size of lhs = 5:
% 0.19/0.52 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)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #16: input, references = 3, size of lhs = 5:
% 0.19/0.52 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)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #17: input, references = 5, size of lhs = 4:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3) | quotient-{T}(V1,V2,V3)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #18: input, references = 5, size of lhs = 5:
% 0.19/0.52 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)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #19: input, references = 5, size of lhs = 6:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V3), P_idQ_idQa-{F}(V4), P_idQ__idQ_idQa-{F}(V5) | quotient-{T}(V1,V4,V5)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #20: input, references = 4, size of lhs = 6:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_idQa-{F}(V5), P_idQ_idQa-{F}(V4), P_idQ__idQ_idQa-{F}(V5) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #21: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #22: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #23: input, references = 3, size of lhs = 2:
% 0.19/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #24: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #25: input, references = 5, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_idQa-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #26: input, references = 5, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_idQ_idQa-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #27: input, references = 5, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_idQ__idQ_idQa-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of initial rules = 28
% 0.19/0.52
% 0.19/0.52 Simplifiers:
% 0.19/0.52 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_idQa-{F}(V0), P_idQa-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_idQ_idQa-{F}(V0), P_idQ_idQa-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_idQ__idQ_idQa-{F}(V0), P_idQ__idQ_idQa-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of simplifiers = 7
% 0.19/0.52
% 0.19/0.52 Learnt:
% 0.19/0.52 #40: mergings( V1 == V4, V2 == V5; #37 ), references = 1, size of lhs = 4:
% 0.19/0.52 P_a-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), quotient-{F}(V2,V0,V3) | P_idQa-{T}(V3)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #45: mergings( V1 == V6, V2 == V7; #42 ), references = 1, size of lhs = 6:
% 0.19/0.52 P_a-{F}(V0), P_idQa-{F}(V1), P_idQ_idQa-{F}(V2), P_zero-{F}(V3), P_identity-{F}(V4), quotient-{F}(V4,V2,V5) | P_idQ__idQ_idQa-{T}(V5)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #51: mergings( V1 == V5, V2 == V6; #48 ), references = 1, size of lhs = 5:
% 0.19/0.52 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)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #75: mergings( V1 == V6, V6 == V8, V8 == V10, V2 == V7, V7 == V9; #69 ), references = 1, size of lhs = 9:
% 0.19/0.52 P_a-{F}(V0), P_idQa-{F}(V1), P_idQ_idQa-{F}(V2), P_identity-{F}(V3), P_zero-{F}(V4), less_equal-{F}(V2,V5), quotient-{F}(V3,V5,V6), quotient-{F}(V3,V6,V7), less_equal-{F}(V7,V2) | P_idQ__idQ_idQa-{T}(V6)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #97: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V18, V1 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V19, V4 == V9, V9 == V20, V10 == V16; #81 ), references = 2, size of lhs = 7:
% 0.19/0.52 P_idQa-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), quotient-{F}(V2,V3,V0), P_a-{F}(V4), quotient-{F}(V2,V3,V5), less_equal-{F}(V5,V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #107: mergings( V2 == V3, V3 == V5, V1 == V6, V4 == V7; #102 ), references = 1, size of lhs = 3:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #112: mergings( V2 == V3, V3 == V4, V1 == V5; #108 ), references = 1, size of lhs = 2:
% 0.19/0.52 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #116: mergings( V1 == V2, V2 == V3; #113 ), references = 1, size of lhs = 1:
% 0.19/0.52 P_zero-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #118: exists( #21, #113 ), references = 1, size of lhs = 0:
% 0.19/0.52 FALSE | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of learnt formulas = 9
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 randbase = 1
%------------------------------------------------------------------------------