TSTP Solution File: HEN007-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN007-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:04:42 EDT 2022
% Result : Unsatisfiable 2.84s 3.03s
% Output : Refutation 2.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HEN007-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 21:00:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.84/3.03 GeoParameters:
% 2.84/3.03
% 2.84/3.03 tptp_input = 1
% 2.84/3.03 tptp_output = 0
% 2.84/3.03 nonempty = 1
% 2.84/3.03 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/3.03 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.84/3.03
% 2.84/3.03
% 2.84/3.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/3.03 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/3.03
% 2.84/3.03 RuleSystem INPUT:
% 2.84/3.03
% 2.84/3.03 Initial Rules:
% 2.84/3.03 #0: input, references = 4, size of lhs = 4:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #1: input, references = 11, size of lhs = 2:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #2: input, references = 11, size of lhs = 2:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #3: input, references = 7, size of lhs = 6:
% 2.84/3.03 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)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #4: input, references = 13, size of lhs = 2:
% 2.84/3.03 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #5: input, references = 11, size of lhs = 4:
% 2.84/3.03 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #6: input, references = 4, size of lhs = 3:
% 2.84/3.03 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #7: input, references = 4, size of lhs = 4:
% 2.84/3.03 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | less_equal-{T}(V2,V3)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #8: input, references = 7, size of lhs = 8:
% 2.84/3.03 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V4,V3,V5), P_divide-{F}(V4,V2,V6), less_equal-{F}(V5,V6) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #9: input, references = 18, size of lhs = 2:
% 2.84/3.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #10: input, references = 4, size of lhs = 0:
% 2.84/3.03 FALSE | EXISTS V0: P_zero-{T}(V0)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #11: input, references = 4, size of lhs = 0:
% 2.84/3.03 FALSE | EXISTS V0: P_identity-{T}(V0)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #12: input, references = 4, size of lhs = 0:
% 2.84/3.03 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #13: input, references = 5, size of lhs = 0:
% 2.84/3.03 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #14: input, references = 6, size of lhs = 0:
% 2.84/3.03 FALSE | EXISTS V0: P_c-{T}(V0)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 number of initial rules = 15
% 2.84/3.03
% 2.84/3.03 Simplifiers:
% 2.84/3.03 #15: unsound, references = 3, size of lhs = 3:
% 2.84/3.03 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #16: unsound, references = 3, size of lhs = 3:
% 2.84/3.03 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #17: unsound, references = 3, size of lhs = 3:
% 2.84/3.03 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #18: unsound, references = 3, size of lhs = 3:
% 2.84/3.03 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #19: unsound, references = 3, size of lhs = 3:
% 2.84/3.03 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #20: unsound, references = 3, size of lhs = 3:
% 2.84/3.03 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 number of simplifiers = 6
% 2.84/3.03
% 2.84/3.03 Learnt:
% 2.84/3.03 #24: exists( #9, #0 ), references = 11, size of lhs = 2:
% 2.84/3.03 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #41: mergings( V3 == V4, V4 == V5; #38 ), references = 9, size of lhs = 5:
% 2.84/3.03 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)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #49: mergings( V3 == V4, V4 == V5; #46 ), references = 2, size of lhs = 5:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), less_equal-{F}(V3,V2), V3 == V2, P_divide-{F}(V4,V1,V3) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #55: mergings( V2 == V3, V3 == V4, V4 == V5; #51 ), references = 4, size of lhs = 2:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | P_divide-{T}(V2,V2,V0)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #61: mergings( V3 == V4; #59 ), references = 1, size of lhs = 8:
% 2.84/3.03 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3), P_divide-{F}(V4,V2,V0), P_divide-{F}(V5,V3,V4), P_divide-{F}(V5,V2,V6) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #69: mergings( V1 == V2, V3 == V7, V2 == V7, V7 == V4; #64 ), references = 1, size of lhs = 5:
% 2.84/3.03 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V0,V2,V0) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #79: mergings( V3 == V4, V4 == V5; #75 ), references = 4, size of lhs = 4:
% 2.84/3.03 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)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #81: mergings( V3 == V4; #76 ), references = 1, size of lhs = 5:
% 2.84/3.03 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)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #91: mergings( V3 == V4, V4 == V5; #88 ), references = 4, size of lhs = 4:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V1,V2,V2), P_divide-{F}(V3,V2,V0), P_divide-{F}(V1,V4,V3) | P_divide-{T}(V4,V2,V4)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #98: mergings( V3 == V4; #96 ), references = 2, size of lhs = 6:
% 2.84/3.03 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V4,V2,V4) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #107: mergings( V1 == V2, V3 == V6, V2 == V6, V6 == V4; #102 ), references = 1, size of lhs = 5:
% 2.84/3.03 P_zero-{F}(V0), P_a-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #113: mergings( V1 == V2, V3 == V6, V2 == V6, V6 == V4; #108 ), references = 1, size of lhs = 4:
% 2.84/3.03 P_zero-{F}(V0), P_a-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V1) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #122: mergings( V3 == V4; #120 ), references = 1, size of lhs = 6:
% 2.84/3.03 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V4,V3,V0) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #158: mergings( V3 == V4, V4 == V5; #155 ), references = 2, size of lhs = 5:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V4,V5), P_divide-{F}(V4,V2,V6), P_divide-{F}(V3,V6,V5) | P_divide-{T}(V5,V2,V5)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #172: mergings( V3 == V5, V5 == V6; #169 ), references = 1, size of lhs = 5:
% 2.84/3.03 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V4,V3,V1), P_divide-{F}(V2,V5,V4) | P_divide-{T}(V5,V3,V0)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #219: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #214 ), references = 1, size of lhs = 7:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V2,V1,V0), P_divide-{F}(V3,V4,V2), P_divide-{F}(V3,V5,V6), P_divide-{F}(V4,V5,V7), P_divide-{F}(V6,V7,V1) | P_divide-{T}(V2,V5,V1)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #290: mergings( V3 == V4, V4 == V5, V15 == V7, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #279 ), references = 1, size of lhs = 11:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V2,V0), P_divide-{F}(V2,V1,V3), P_divide-{F}(V4,V2,V0), P_divide-{F}(V5,V1,V6), P_divide-{F}(V5,V7,V4), P_divide-{F}(V7,V1,V8), P_divide-{F}(V6,V8,V3) | P_divide-{T}(V4,V1,V3)
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #310: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V15 == V9, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17; #295 ), references = 1, size of lhs = 18:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_divide-{F}(V3,V3,V0), P_c-{F}(V4), P_divide-{F}(V0,V4,V0), P_divide-{F}(V4,V2,V5), P_divide-{F}(V5,V4,V0), P_divide-{F}(V4,V6,V5), P_divide-{F}(V6,V3,V7), P_divide-{F}(V0,V7,V0), P_divide-{F}(V8,V7,V7), P_divide-{F}(V9,V3,V8), P_divide-{F}(V9,V4,V10), P_divide-{F}(V10,V3,V0) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #329: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V20 == V10, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #313 ), references = 1, size of lhs = 15:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_divide-{F}(V3,V3,V0), P_c-{F}(V4), P_divide-{F}(V0,V4,V0), P_divide-{F}(V2,V3,V5), P_divide-{F}(V0,V5,V0), P_divide-{F}(V6,V5,V5), P_divide-{F}(V7,V3,V6), P_divide-{F}(V7,V4,V8), P_divide-{F}(V8,V3,V0) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #350: mergings( V11 == V2, V1 == V3, V3 == V4, V4 == V5, V5 == V6, V19 == V8, V6 == V7, V7 == V8, V8 == V9, V2 == V21, V9 == V20, V20 == V10, V10 == V21, V21 == V12, V12 == V13, V13 == V14, V14 == V15; #332 ), references = 1, size of lhs = 8:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V2,V3,V0), P_divide-{F}(V0,V3,V0) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #372: mergings( V5 == V3, V1 == V4, V4 == V3, V3 == V6, V6 == V7, V7 == V8, V12 == V9, V8 == V10, V10 == V11, V11 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V16, V2 == V17; #356 ), references = 1, size of lhs = 4:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #389: mergings( V5 == V3, V1 == V4, V4 == V3, V3 == V6, V6 == V7, V7 == V8, V12 == V9, V8 == V10, V10 == V11, V11 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V16, V2 == V17; #373 ), references = 1, size of lhs = 3:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V1) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #405: mergings( V4 == V2, V1 == V3, V3 == V2, V2 == V5, V5 == V6, V6 == V7, V11 == V8, V7 == V9, V9 == V10, V10 == V8, V8 == V12, V12 == V13, V13 == V14, V14 == V15; #390 ), references = 1, size of lhs = 2:
% 2.84/3.03 P_zero-{F}(V0), P_divide-{F}(V0,V0,V0) | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 #409: exists( #10, #407 ), references = 1, size of lhs = 0:
% 2.84/3.03 FALSE | FALSE
% 2.84/3.03 (used 0 times, uses = {})
% 2.84/3.03
% 2.84/3.03 number of learnt formulas = 24
% 2.84/3.03
% 2.84/3.03
% 2.84/3.03 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/3.03
% 2.84/3.03 randbase = 1
%------------------------------------------------------------------------------