TSTP Solution File: COL059-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 05:59:05 EDT 2022
% Result : Unsatisfiable 1.38s 1.61s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL059-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 08:11:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.38/1.61 GeoParameters:
% 1.38/1.61
% 1.38/1.61 tptp_input = 1
% 1.38/1.61 tptp_output = 0
% 1.38/1.61 nonempty = 1
% 1.38/1.61 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.61 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.38/1.61
% 1.38/1.61
% 1.38/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.61 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.61
% 1.38/1.61 RuleSystem INPUT:
% 1.38/1.61
% 1.38/1.61 Initial Rules:
% 1.38/1.61 #0: input, references = 11, size of lhs = 4:
% 1.38/1.61 P_kestrel-{F}(V0), P_response-{F}(V0,V1,V3), P_response-{F}(V3,V2,V4), V4 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #1: input, references = 6, size of lhs = 7:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V2,V4), P_response-{F}(V4,V3,V5), P_response-{F}(V3,V3,V6), P_response-{F}(V2,V6,V7), V5 == V7 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #2: input, references = 7, size of lhs = 9:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V3,V5), P_response-{F}(V5,V4,V6), P_response-{F}(V3,V3,V7), P_response-{F}(V4,V4,V8), P_response-{F}(V7,V8,V9), V6 == V9 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #3: input, references = 7, size of lhs = 12:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V1,V3), P_x2-{F}(V4), P_response-{F}(V4,V4,V5), P_response-{F}(V3,V6,V8), P_response-{F}(V8,V7,V9), P_response-{F}(V6,V6,V10), P_response-{F}(V10,V10,V11), P_response-{F}(V11,V5,V12), V9 == V12 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #4: input, references = 4, size of lhs = 8:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V1,V3), P_x2-{F}(V4), P_response-{F}(V4,V4,V5), P_l2-{F}(V6), P_response-{F}(V6,V6,V6) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #5: input, references = 4, size of lhs = 9:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V1,V3), P_x2-{F}(V4), P_response-{F}(V4,V4,V5), P_l2-{F}(V6), P_response-{F}(V6,V6,V7), V2 == V6 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #6: input, references = 4, size of lhs = 11:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V1,V3), P_x2-{F}(V4), P_response-{F}(V4,V4,V5), P_l2-{F}(V6), P_response-{F}(V6,V6,V7), P_response-{F}(V6,V1,V8), P_l3-{F}(V9), V8 == V9 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #7: input, references = 4, size of lhs = 12:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V1,V3), P_x2-{F}(V4), P_response-{F}(V4,V4,V5), P_l2-{F}(V6), P_response-{F}(V6,V6,V7), P_response-{F}(V6,V1,V8), P_l3-{F}(V9), P_response-{F}(V9,V9,V10), V10 == V9 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #8: input, references = 43, size of lhs = 2:
% 1.38/1.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_response-{T}(V0,V1,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #9: input, references = 4, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_kestrel-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #10: input, references = 5, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_lark-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #11: input, references = 5, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_x2-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #12: input, references = 6, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_l2-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #13: input, references = 8, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_l3-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 number of initial rules = 14
% 1.38/1.61
% 1.38/1.61 Simplifiers:
% 1.38/1.61 #14: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_response-{F}(V0,V1,V2), P_response-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #15: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_kestrel-{F}(V0), P_kestrel-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #16: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_lark-{F}(V0), P_lark-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #17: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_x2-{F}(V0), P_x2-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #18: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_l2-{F}(V0), P_l2-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #19: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_l3-{F}(V0), P_l3-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 number of simplifiers = 6
% 1.38/1.61
% 1.38/1.61 Learnt:
% 1.38/1.61 #23: exists( #8, #5 ), references = 5, size of lhs = 8:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_x2-{F}(V3), P_response-{F}(V3,V3,V4), P_l2-{F}(V5), V2 == V5, P_response-{F}(V5,V5,V6) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #24: exists( #8, #6 ), references = 2, size of lhs = 10:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_x2-{F}(V3), P_response-{F}(V3,V3,V4), P_l2-{F}(V5), P_response-{F}(V5,V5,V6), P_response-{F}(V5,V1,V7), P_l3-{F}(V8), V7 == V8 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #25: exists( #8, #0 ), references = 10, size of lhs = 3:
% 1.38/1.61 P_kestrel-{F}(V0), P_response-{F}(V0,V1,V2), #-{F} V3 | P_response-{T}(V2,V3,V1)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #28: exists( #8, #21 ), references = 1, size of lhs = 4:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_x2-{F}(V1), P_l2-{F}(V1) | P_response-{T}(V1,V1,V1)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #29: exists( #8, #22 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_x2-{F}(V1), P_l2-{F}(V1), P_l3-{F}(V2) | P_response-{T}(V1,V1,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #39: mergings( V0 == V2; #36 ), references = 1, size of lhs = 2:
% 1.38/1.61 P_lark-{F}(V0), P_kestrel-{F}(V0) | P_response-{T}(V0,V0,V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #43: exists( #8, #23 ), references = 6, size of lhs = 5:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_x2-{F}(V1), P_l2-{F}(V2), P_response-{F}(V2,V2,V3) | P_response-{T}(V1,V1,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #47: mergings( V0 == V3; #45 ), references = 3, size of lhs = 4:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V0), P_response-{F}(V2,V2,V0) | P_response-{T}(V0,V2,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #56: mergings( V2 == V0, V0 == V4; #53 ), references = 2, size of lhs = 7:
% 1.38/1.61 P_x2-{F}(V0), P_lark-{F}(V0), P_l2-{F}(V1), P_kestrel-{F}(V1), P_response-{F}(V2,V2,V1), P_response-{F}(V2,V3,V4), V4 == V2 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #62: mergings( V2 == V0, V3 == V4; #59 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_x2-{F}(V0), P_lark-{F}(V0), P_l2-{F}(V1), V1 == V0, P_kestrel-{F}(V1) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #67: mergings( V0 == V2; #65 ), references = 3, size of lhs = 7:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V0,V3), P_response-{F}(V3,V4,V5), V5 == V0, P_response-{F}(V4,V4,V6) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #70: exists( #8, #67 ), references = 1, size of lhs = 4:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V0,V3) | P_response-{T}(V3,V3,V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #78: exists( #8, #4 ), references = 2, size of lhs = 7:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_x2-{F}(V3), P_response-{F}(V3,V3,V4), P_l2-{F}(V5), P_response-{F}(V5,V5,V5) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #79: exists( #8, #2 ), references = 6, size of lhs = 7:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V3,V4), P_response-{F}(V3,V3,V5), P_response-{F}(V6,V6,V7), P_response-{F}(V5,V7,V8) | P_response-{T}(V4,V6,V8)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #87: exists( #8, #7 ), references = 5, size of lhs = 10:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_l2-{F}(V2), P_x2-{F}(V3), P_response-{F}(V3,V3,V4), P_response-{F}(V2,V2,V5), P_l3-{F}(V6), P_response-{F}(V6,V6,V7), V7 == V6 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #91: mergings( V2 == V3; #89 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_x2-{F}(V1), P_l2-{F}(V2), P_l3-{F}(V2) | P_response-{T}(V2,V2,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #98: mergings( V2 == V3; #96 ), references = 1, size of lhs = 6:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_x2-{F}(V1), P_l3-{F}(V1), P_l2-{F}(V2), V2 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #107: mergings( V0 == V3, V3 == V6; #104 ), references = 2, size of lhs = 7:
% 1.38/1.61 P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_kestrel-{F}(V2), P_response-{F}(V1,V3,V2), P_response-{F}(V3,V3,V2), P_response-{F}(V4,V4,V5), V5 == V4 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #117: exists( #8, #24 ), references = 10, size of lhs = 8:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_x2-{F}(V3), P_response-{F}(V3,V3,V4), P_l2-{F}(V5), P_response-{F}(V5,V5,V6), P_l3-{F}(V7) | P_response-{T}(V5,V1,V7)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #120: exists( #8, #3 ), references = 4, size of lhs = 10:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V1,V3), P_x2-{F}(V4), P_response-{F}(V4,V4,V5), P_response-{F}(V3,V6,V7), P_response-{F}(V6,V6,V8), P_response-{F}(V8,V8,V9), P_response-{F}(V7,V10,V11) | P_response-{T}(V9,V5,V11)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #138: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V0, V3 == V6, V4 == V7, V6 == V9, V7 == V10, V9 == V12, V10 == V13; #127 ), references = 1, size of lhs = 14:
% 1.38/1.61 P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V1,V0,V2), P_response-{F}(V1,V3,V2), P_response-{F}(V3,V3,V4), P_response-{F}(V1,V5,V4), P_response-{F}(V5,V5,V6), P_x2-{F}(V7), P_response-{F}(V7,V7,V8), P_kestrel-{F}(V9), V9 == V8, P_response-{F}(V1,V9,V10), P_response-{F}(V6,V9,V10), P_response-{F}(V11,V11,V12) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #150: mergings( V3 == V6, V6 == V9, V9 == V11, V11 == V1, V4 == V7, V5 == V8, V7 == V10, V8 == V0, V10 == V12, V0 == V13; #139 ), references = 3, size of lhs = 12:
% 1.38/1.61 P_lark-{F}(V0), P_response-{F}(V0,V0,V1), P_response-{F}(V1,V0,V2), P_response-{F}(V1,V3,V2), P_response-{F}(V3,V3,V4), P_response-{F}(V1,V5,V4), P_response-{F}(V5,V5,V1), P_x2-{F}(V6), P_response-{F}(V6,V6,V7), P_kestrel-{F}(V8), V8 == V7, P_response-{F}(V9,V9,V10) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #156: exists( #8, #1 ), references = 4, size of lhs = 5:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V2,V3), P_response-{F}(V3,V4,V5), P_response-{F}(V4,V4,V6) | P_response-{T}(V2,V6,V5)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #164: mergings( V0 == V3, V3 == V6, V4 == V7, V5 == V8; #159 ), references = 2, size of lhs = 12:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_response-{F}(V2,V1,V3), P_response-{F}(V2,V4,V3), P_response-{F}(V4,V4,V5), P_x2-{F}(V6), P_response-{F}(V6,V6,V7), P_response-{F}(V5,V8,V3), P_response-{F}(V8,V8,V9), P_response-{F}(V9,V7,V10), V3 == V10 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #172: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7; #167 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_l2-{F}(V0), P_l3-{F}(V1), P_kestrel-{F}(V2), P_lark-{F}(V3), P_x2-{F}(V3) | P_response-{T}(V0,V0,V1)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #185: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V11, V6 == V10; #176 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_l2-{F}(V0), P_lark-{F}(V1), P_x2-{F}(V1), P_kestrel-{F}(V2), V2 == V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #195: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V10, V6 == V9; #186 ), references = 2, size of lhs = 3:
% 1.38/1.61 P_lark-{F}(V0), P_x2-{F}(V0), P_kestrel-{F}(V1) | P_l2-{T}(V1)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #200: exists( #8, #23 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_l2-{F}(V1), P_x2-{F}(V2), P_response-{F}(V2,V2,V3) | P_response-{T}(V1,V1,V1)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #208: mergings( V2 == V3; #204 ), references = 2, size of lhs = 4:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_l2-{F}(V1), P_x2-{F}(V2) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #220: exists( #8, #23 ), references = 3, size of lhs = 6:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_x2-{F}(V2), P_response-{F}(V2,V2,V3), P_l2-{F}(V4), P_response-{F}(V4,V4,V5) | P_response-{T}(V1,V1,V4)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #224: mergings( V2 == V3; #222 ), references = 1, size of lhs = 6:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_l3-{F}(V1), P_l2-{F}(V2), V2 == V1, P_x2-{F}(V2) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #228: mergings( V2 == V3; #226 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_l2-{F}(V2), P_x2-{F}(V2), P_l3-{F}(V2) | P_response-{T}(V2,V2,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #246: mergings( V2 == V0; #242 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_x2-{F}(V0), P_l2-{F}(V0), P_kestrel-{F}(V0), P_lark-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #274: exists( #8, #1 ), references = 2, size of lhs = 5:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V2,V3), P_response-{F}(V4,V4,V5), P_response-{F}(V2,V5,V6) | P_response-{T}(V3,V4,V6)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #276: exists( #8, #23 ), references = 1, size of lhs = 7:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_x2-{F}(V3), P_response-{F}(V3,V3,V4), P_l2-{F}(V5), V2 == V5 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #278: exists( #8, #275 ), references = 6, size of lhs = 5:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_x2-{F}(V2), P_response-{F}(V2,V2,V3), P_l2-{F}(V4) | P_response-{T}(V1,V1,V4)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #282: exists( #8, #87 ), references = 2, size of lhs = 9:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_response-{F}(V1,V1,V2), P_l2-{F}(V2), P_x2-{F}(V3), P_response-{F}(V3,V3,V4), P_l3-{F}(V5), P_response-{F}(V5,V5,V6), V6 == V5 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #286: mergings( V2 == V3; #284 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_l2-{F}(V2), P_x2-{F}(V3), P_l3-{F}(V3) | P_response-{T}(V3,V3,V3)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #293: mergings( V2 == V3; #291 ), references = 3, size of lhs = 7:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_l2-{F}(V2), P_x2-{F}(V3), P_l3-{F}(V4), P_response-{F}(V4,V4,V5), V5 == V4 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #296: mergings( V2 == V3; #294 ), references = 3, size of lhs = 5:
% 1.38/1.61 P_kestrel-{F}(V0), P_lark-{F}(V1), P_l2-{F}(V2), P_x2-{F}(V3), P_l3-{F}(V4) | P_response-{T}(V4,V4,V4)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #321: mergings( V0 == V7, V2 == V11, V3 == V9, V4 == V10; #314 ), references = 2, size of lhs = 11:
% 1.38/1.61 P_l2-{F}(V0), P_l3-{F}(V1), P_lark-{F}(V2), P_response-{F}(V2,V2,V0), P_response-{F}(V0,V3,V1), P_response-{F}(V3,V3,V1), P_x2-{F}(V4), P_response-{F}(V4,V4,V5), P_kestrel-{F}(V6), V6 == V5, P_response-{F}(V7,V7,V8) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #327: mergings( V0 == V8, V8 == V9, V2 == V6, V3 == V10, V4 == V11; #315 ), references = 1, size of lhs = 11:
% 1.38/1.61 P_l2-{F}(V0), P_l3-{F}(V1), P_kestrel-{F}(V2), P_lark-{F}(V3), P_response-{F}(V3,V3,V0), P_x2-{F}(V4), P_response-{F}(V4,V4,V5), P_response-{F}(V0,V6,V1), P_response-{F}(V6,V6,V7), P_response-{F}(V7,V5,V8), V1 == V8 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #332: mergings( V0 == V8, V2 == V6, V3 == V9, V4 == V10; #316 ), references = 2, size of lhs = 13:
% 1.38/1.61 P_l2-{F}(V0), P_l3-{F}(V1), P_kestrel-{F}(V2), P_lark-{F}(V3), P_response-{F}(V3,V3,V0), P_x2-{F}(V4), P_response-{F}(V4,V4,V5), P_response-{F}(V1,V6,V7), P_response-{F}(V6,V6,V8), P_response-{F}(V8,V8,V9), P_response-{F}(V9,V5,V10), P_response-{F}(V7,V11,V12), V12 == V10 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #349: mergings( V4 == V0, V2 == V8, V3 == V9; #343 ), references = 5, size of lhs = 9:
% 1.38/1.61 P_x2-{F}(V0), P_response-{F}(V0,V0,V1), P_l2-{F}(V2), P_l3-{F}(V3), P_kestrel-{F}(V4), P_lark-{F}(V5), P_response-{F}(V5,V5,V2), P_response-{F}(V6,V6,V2), P_response-{F}(V3,V6,V7) | P_response-{T}(V2,V2,V7)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #370: mergings( V7 == V17, V5 == V8, V8 == V12, V12 == V15, V6 == V16, V3 == V9, V4 == V10, V9 == V13, V10 == V14, V13 == V18, V0 == V11; #357 ), references = 2, size of lhs = 15:
% 1.38/1.61 P_l2-{F}(V0), P_response-{F}(V1,V1,V0), P_l3-{F}(V2), P_kestrel-{F}(V3), P_lark-{F}(V4), P_response-{F}(V4,V4,V0), P_x2-{F}(V5), P_response-{F}(V5,V5,V6), P_response-{F}(V2,V7,V2), P_response-{F}(V7,V7,V8), P_response-{F}(V8,V8,V9), P_response-{F}(V10,V10,V9), P_response-{F}(V11,V11,V10), P_response-{F}(V2,V11,V12), P_response-{F}(V12,V13,V14) | P_response-{T}(V2,V1,V14)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #385: mergings( V7 == V14, V5 == V8, V8 == V12, V12 == V19, V6 == V13, V13 == V20, V14 == V17, V3 == V9, V4 == V10, V9 == V15, V10 == V16, V15 == V21, V0 == V11, V11 == V18; #358 ), references = 1, size of lhs = 15:
% 1.38/1.61 P_l2-{F}(V0), P_response-{F}(V1,V1,V0), P_l3-{F}(V2), P_kestrel-{F}(V3), P_lark-{F}(V4), P_response-{F}(V4,V4,V0), P_x2-{F}(V5), P_response-{F}(V5,V5,V6), P_response-{F}(V2,V7,V2), P_response-{F}(V7,V7,V8), P_response-{F}(V8,V8,V9), P_response-{F}(V10,V10,V9), P_response-{F}(V11,V11,V10), P_response-{F}(V2,V11,V12), P_response-{F}(V12,V13,V14) | P_response-{T}(V2,V1,V14)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #398: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V12, V12 == V16, V5 == V8, V8 == V14; #389 ), references = 4, size of lhs = 13:
% 1.38/1.61 P_l2-{F}(V0), P_l3-{F}(V1), P_response-{F}(V1,V2,V1), P_response-{F}(V2,V2,V3), P_response-{F}(V3,V3,V4), P_lark-{F}(V5), P_x2-{F}(V6), P_kestrel-{F}(V7), P_response-{F}(V8,V8,V4), P_response-{F}(V9,V9,V8), P_response-{F}(V1,V9,V10), P_response-{F}(V10,V11,V1), P_response-{F}(V12,V12,V13) | P_response-{T}(V6,V6,V7)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #414: mergings( V1 == V2, V2 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V14, V3 == V13, V5 == V14, V4 == V12; #402 ), references = 1, size of lhs = 6:
% 1.38/1.61 P_l2-{F}(V0), P_lark-{F}(V1), P_x2-{F}(V2), P_kestrel-{F}(V2), #-{F} V3, V2 == V3 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #426: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V3 == V11, V4 == V12; #415 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_lark-{F}(V0), P_x2-{F}(V1), P_kestrel-{F}(V1), #-{F} V2, V1 == V2 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #441: mergings( V1 == V7, V7 == V10, V2 == V6, V6 == V9, V4 == V8, V3 == V5, V5 == V8; #433 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_x2-{F}(V0), P_l2-{F}(V0), P_lark-{F}(V1), V0 == V1, P_kestrel-{F}(V2) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #456: mergings( V1 == V7, V7 == V8, V8 == V10, V2 == V6, V6 == V11, V4 == V9, V3 == V5, V5 == V10; #447 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_x2-{F}(V0), P_l2-{F}(V1), P_kestrel-{F}(V1), P_lark-{F}(V2), V1 == V2 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #497: mergings( V1 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V18, V2 == V6, V6 == V19, V4 == V15, V3 == V5, V5 == V10; #481 ), references = 1, size of lhs = 4:
% 1.38/1.61 P_l2-{F}(V0), P_x2-{F}(V1), P_kestrel-{F}(V2), P_lark-{F}(V3) | P_l3-{T}(V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #518: mergings( V1 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V19, V2 == V4, V4 == V15, V15 == V17, V3 == V12, V12 == V18; #501 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_lark-{F}(V0), P_x2-{F}(V1), P_kestrel-{F}(V2), #-{F} V3, V2 == V3 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #534: mergings( V1 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V16, V2 == V3, V3 == V13, V13 == V15; #519 ), references = 1, size of lhs = 4:
% 1.38/1.61 P_lark-{F}(V0), P_kestrel-{F}(V1), #-{F} V2, V1 == V2 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #547: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #535 ), references = 3, size of lhs = 3:
% 1.38/1.61 P_kestrel-{F}(V0), #-{F} V1, V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #549: exists( #9, #535 ), references = 1, size of lhs = 1:
% 1.38/1.61 #-{F} V0 | P_kestrel-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #552: exists( #10, #547 ), references = 1, size of lhs = 1:
% 1.38/1.61 P_kestrel-{F}(V0) | P_lark-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #556: exists( #11, #547 ), references = 1, size of lhs = 1:
% 1.38/1.61 P_kestrel-{F}(V0) | P_x2-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #571: #548+#550+#553+#195+#208, references = 1, size of lhs = 1:
% 1.38/1.61 #-{F} V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 number of learnt formulas = 59
% 1.38/1.61
% 1.38/1.61
% 1.38/1.61 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.61
% 1.38/1.61 randbase = 1
%------------------------------------------------------------------------------