TSTP Solution File: HEN008-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN008-2 : 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 06:04:43 EDT 2022
% Result : Unsatisfiable 6.96s 7.17s
% Output : Refutation 6.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : HEN008-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 21:03:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.96/7.17 GeoParameters:
% 6.96/7.17
% 6.96/7.17 tptp_input = 1
% 6.96/7.17 tptp_output = 0
% 6.96/7.17 nonempty = 1
% 6.96/7.17 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.96/7.17 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.96/7.17
% 6.96/7.17
% 6.96/7.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.96/7.17 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.96/7.17
% 6.96/7.17 RuleSystem INPUT:
% 6.96/7.17
% 6.96/7.17 Initial Rules:
% 6.96/7.17 #0: input, references = 6, size of lhs = 2:
% 6.96/7.17 P_zero-{F}(V0), less_equal-{F}(V1,V2) | quotient-{T}(V1,V2,V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #1: input, references = 5, size of lhs = 2:
% 6.96/7.17 P_zero-{F}(V0), quotient-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #2: input, references = 5, size of lhs = 2:
% 6.96/7.17 P_zero-{F}(V0), quotient-{F}(V1,V3,V2) | less_equal-{T}(V2,V1)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #3: input, references = 6, size of lhs = 6:
% 6.96/7.17 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)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #4: input, references = 8, size of lhs = 2:
% 6.96/7.17 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #5: input, references = 8, size of lhs = 4:
% 6.96/7.17 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #6: input, references = 4, size of lhs = 3:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #7: input, references = 10, size of lhs = 3:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V4) | quotient-{T}(V2,V3,V4)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #8: input, references = 6, size of lhs = 5:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V5,V4,V2), quotient-{F}(V5,V4,V3), V2 == V3 | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #9: input, references = 3, size of lhs = 3:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V1,V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #10: input, references = 3, size of lhs = 3:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V0,V2,V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #11: input, references = 5, size of lhs = 3:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V2,V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #12: input, references = 5, size of lhs = 3:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | quotient-{T}(V2,V0,V2)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #13: input, references = 4, size of lhs = 4:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), less_equal-{F}(V2,V3), less_equal-{F}(V4,V2) | less_equal-{T}(V4,V3)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #14: input, references = 4, size of lhs = 5:
% 6.96/7.17 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)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #15: input, references = 4, size of lhs = 5:
% 6.96/7.17 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)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #16: input, references = 5, size of lhs = 4:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | less_equal-{T}(V2,V3)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #17: input, references = 6, size of lhs = 6:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_aQc-{F}(V5) | quotient-{T}(V2,V4,V5)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #18: input, references = 5, size of lhs = 7:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_aQc-{F}(V5), P_bQc-{F}(V6) | quotient-{T}(V3,V4,V6)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #19: input, references = 6, size of lhs = 8:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_aQc-{F}(V5), P_bQc-{F}(V6), less_equal-{F}(V5,V6) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #20: input, references = 4, size of lhs = 0:
% 6.96/7.17 FALSE | EXISTS V0: P_zero-{T}(V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #21: input, references = 4, size of lhs = 0:
% 6.96/7.17 FALSE | EXISTS V0: P_identity-{T}(V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #22: input, references = 8, size of lhs = 2:
% 6.96/7.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #23: input, references = 4, size of lhs = 0:
% 6.96/7.17 FALSE | EXISTS V0: P_a-{T}(V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #24: input, references = 6, size of lhs = 0:
% 6.96/7.17 FALSE | EXISTS V0: P_b-{T}(V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #25: input, references = 6, size of lhs = 0:
% 6.96/7.17 FALSE | EXISTS V0: P_c-{T}(V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #26: input, references = 6, size of lhs = 0:
% 6.96/7.17 FALSE | EXISTS V0: P_aQc-{T}(V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #27: input, references = 6, size of lhs = 0:
% 6.96/7.17 FALSE | EXISTS V0: P_bQc-{T}(V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 number of initial rules = 28
% 6.96/7.17
% 6.96/7.17 Simplifiers:
% 6.96/7.17 #28: unsound, references = 3, size of lhs = 3:
% 6.96/7.17 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #29: unsound, references = 3, size of lhs = 3:
% 6.96/7.17 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #30: unsound, references = 3, size of lhs = 3:
% 6.96/7.17 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #31: unsound, references = 3, size of lhs = 3:
% 6.96/7.17 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #32: unsound, references = 3, size of lhs = 3:
% 6.96/7.17 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #33: unsound, references = 3, size of lhs = 3:
% 6.96/7.17 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #34: unsound, references = 3, size of lhs = 3:
% 6.96/7.17 P_aQc-{F}(V0), P_aQc-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #35: unsound, references = 3, size of lhs = 3:
% 6.96/7.17 P_bQc-{F}(V0), P_bQc-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 number of simplifiers = 8
% 6.96/7.17
% 6.96/7.17 Learnt:
% 6.96/7.17 #41: mergings( V1 == V2; #39 ), references = 2, size of lhs = 6:
% 6.96/7.17 P_aQc-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #46: mergings( V1 == V6, V2 == V7; #43 ), references = 2, size of lhs = 6:
% 6.96/7.17 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_zero-{F}(V3), P_identity-{F}(V4), quotient-{F}(V0,V2,V5) | P_aQc-{T}(V5)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #52: mergings( V1 == V7, V2 == V8; #49 ), references = 2, size of lhs = 7:
% 6.96/7.17 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_aQc-{F}(V3), P_zero-{F}(V4), P_identity-{F}(V5), quotient-{F}(V1,V2,V6) | P_bQc-{T}(V6)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #73: mergings( V2 == V3, V3 == V9, V9 == V11, V1 == V4, V4 == V10, V10 == V12, V5 == V7, V7 == V13, V13 == V6, V6 == V14, V8 == V15; #61 ), references = 1, size of lhs = 5:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #85: mergings( V2 == V3, V3 == V8, V8 == V10, V1 == V4, V4 == V9, V9 == V11, V5 == V7, V7 == V12, V12 == V6, V6 == V13; #74 ), references = 1, size of lhs = 4:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #92: mergings( V1 == V3, V3 == V5, V2 == V4; #88 ), references = 1, size of lhs = 3:
% 6.96/7.17 P_a-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1) | P_b-{T}(V0)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #104: mergings( V1 == V3, V3 == V5, V4 == V6, V5 == V7, V2 == V8; #98 ), references = 1, size of lhs = 4:
% 6.96/7.17 P_zero-{F}(V0), P_a-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #110: mergings( V1 == V2, V2 == V4, V3 == V5, V4 == V6; #105 ), references = 1, size of lhs = 3:
% 6.96/7.17 P_zero-{F}(V0), P_a-{F}(V0), P_identity-{F}(V1) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #124: mergings( V3 == V5, V4 == V6; #121 ), references = 1, size of lhs = 3:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V2,V3,V4) | P_divide-{T}(V2,V3,V4)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #155: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V9, V5 == V7; #149 ), references = 1, size of lhs = 5:
% 6.96/7.17 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)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #179: mergings( V3 == V5, V5 == V6, V6 == V7; #175 ), references = 2, size of lhs = 6:
% 6.96/7.17 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V4), quotient-{F}(V5,V2,V6), quotient-{F}(V5,V3,V7), quotient-{F}(V7,V4,V6) | P_divide-{T}(V6,V3,V6)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #229: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8; #223 ), references = 1, size of lhs = 6:
% 6.96/7.17 P_identity-{F}(V0), P_zero-{F}(V1), less_equal-{F}(V2,V3), less_equal-{F}(V4,V2), quotient-{F}(V5,V3,V6), quotient-{F}(V5,V6,V4) | P_divide-{T}(V5,V2,V6)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #305: mergings( V3 == V4, V4 == V6, V6 == V7; #301 ), references = 1, size of lhs = 6:
% 6.96/7.17 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V5), quotient-{F}(V6,V4,V2), quotient-{F}(V6,V3,V7) | P_divide-{T}(V7,V5,V1)
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #324: mergings( V1 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V14, V2 == V8, V8 == V12, V12 == V15, V3 == V16, V4 == V17, V5 == V18, V6 == V19; #310 ), references = 1, size of lhs = 9:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_aQc-{F}(V5), quotient-{F}(V6,V4,V5), quotient-{F}(V6,V3,V7), quotient-{F}(V7,V4,V0) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #359: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V26, V26 == V27, V2 == V4, V4 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V21, V21 == V25, V25 == V28, V5 == V17, V17 == V29, V6 == V18, V18 == V30, V19 == V31; #332 ), references = 1, size of lhs = 8:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), less_equal-{F}(V2,V3), P_b-{F}(V3), P_c-{F}(V4), quotient-{F}(V4,V4,V0), quotient-{F}(V0,V4,V0) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #390: mergings( V2 == V4, V4 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V26, V26 == V27, V1 == V3, V3 == V5, V5 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V21, V21 == V25, V25 == V28, V6 == V18, V18 == V29, V7 == V19, V19 == V30; #363 ), references = 1, size of lhs = 5:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), less_equal-{F}(V2,V3), P_b-{F}(V3) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #419: mergings( V1 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V26, V26 == V27, V2 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V25, V25 == V28, V8 == V19, V19 == V29; #392 ), references = 1, size of lhs = 3:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #445: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V24, V24 == V25, V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V26; #420 ), references = 1, size of lhs = 2:
% 6.96/7.17 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #461: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #446 ), references = 1, size of lhs = 1:
% 6.96/7.17 P_zero-{F}(V0) | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 #463: exists( #20, #446 ), references = 1, size of lhs = 0:
% 6.96/7.17 FALSE | FALSE
% 6.96/7.17 (used 0 times, uses = {})
% 6.96/7.17
% 6.96/7.17 number of learnt formulas = 20
% 6.96/7.17
% 6.96/7.17
% 6.96/7.17 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.96/7.17
% 6.96/7.17 randbase = 1
%------------------------------------------------------------------------------