TSTP Solution File: COL054-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COL054-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 05:59:04 EDT 2022
% Result : Unsatisfiable 44.54s 44.75s
% Output : Refutation 44.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL054-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 07:28:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 44.54/44.75 GeoParameters:
% 44.54/44.75
% 44.54/44.75 tptp_input = 1
% 44.54/44.75 tptp_output = 0
% 44.54/44.75 nonempty = 1
% 44.54/44.75 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.54/44.75 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 44.54/44.75
% 44.54/44.75
% 44.54/44.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.54/44.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.54/44.75
% 44.54/44.75 RuleSystem INPUT:
% 44.54/44.75
% 44.54/44.75 Initial Rules:
% 44.54/44.75 #0: input, references = 6, size of lhs = 4:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_response-{F}(V0,V1,V2), P_response-{F}(V1,V1,V3), V2 == V3 | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #1: input, references = 10, size of lhs = 6:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_compose-{F}(V2,V1,V4), P_response-{F}(V4,V3,V5), P_response-{F}(V1,V3,V6), P_response-{F}(V2,V6,V7), V5 == V7 | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #2: input, references = 16, size of lhs = 5:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_response-{F}(V1,V4,V3), P_response-{F}(V2,V3,V4) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #3: input, references = 34, size of lhs = 2:
% 44.54/44.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_response-{T}(V0,V1,V2)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #4: input, references = 4, size of lhs = 0:
% 44.54/44.75 FALSE | EXISTS V0: P_mocking_bird-{T}(V0)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #5: input, references = 16, size of lhs = 2:
% 44.54/44.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #6: input, references = 4, size of lhs = 0:
% 44.54/44.75 FALSE | EXISTS V0: P_a-{T}(V0)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #7: input, references = 4, size of lhs = 0:
% 44.54/44.75 FALSE | EXISTS V0: P_b-{T}(V0)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 number of initial rules = 8
% 44.54/44.75
% 44.54/44.75 Simplifiers:
% 44.54/44.75 #8: unsound, references = 3, size of lhs = 3:
% 44.54/44.75 P_response-{F}(V0,V1,V2), P_response-{F}(V0,V1,V5), V2 == V5 | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #9: unsound, references = 3, size of lhs = 3:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_mocking_bird-{F}(V1), V0 == V1 | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #10: unsound, references = 3, size of lhs = 3:
% 44.54/44.75 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #11: unsound, references = 3, size of lhs = 3:
% 44.54/44.75 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #12: unsound, references = 3, size of lhs = 3:
% 44.54/44.75 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 number of simplifiers = 5
% 44.54/44.75
% 44.54/44.75 Learnt:
% 44.54/44.75 #14: exists( #3, #1 ), references = 88, size of lhs = 4:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_compose-{F}(V1,V2,V3), P_response-{F}(V3,V4,V5), P_response-{F}(V2,V4,V6) | P_response-{T}(V1,V6,V5)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #16: exists( #3, #0 ), references = 10, size of lhs = 2:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_response-{F}(V1,V1,V2) | P_response-{T}(V0,V1,V2)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #19: exists( #3, #0 ), references = 20, size of lhs = 2:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_response-{F}(V0,V1,V2) | P_response-{T}(V1,V1,V2)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #23: mergings( V0 == V3; #21 ), references = 1, size of lhs = 4:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_compose-{F}(V1,V2,V3), P_response-{F}(V2,V3,V4), P_response-{F}(V1,V4,V5) | P_response-{T}(V0,V3,V5)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #36: mergings( V0 == V3, V3 == V4; #33 ), references = 1, size of lhs = 4:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_compose-{F}(V1,V0,V2) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #40: mergings( V1 == V3, V3 == V4; #37 ), references = 1, size of lhs = 3:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #44: exists( #3, #1 ), references = 39, size of lhs = 4:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_compose-{F}(V1,V2,V3), P_response-{F}(V2,V4,V5), P_response-{F}(V1,V5,V6) | P_response-{T}(V3,V4,V6)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #65: mergings( V3 == V4, V4 == V5, V5 == V6; #61 ), references = 1, size of lhs = 9:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V2,V1,V3), P_response-{F}(V3,V4,V4), P_compose-{F}(V1,V5,V6), P_response-{F}(V5,V7,V4), P_compose-{F}(V8,V9,V6), P_response-{F}(V9,V7,V10) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #85: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #78 ), references = 1, size of lhs = 10:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V3,V1), P_compose-{F}(V3,V4,V0), P_compose-{F}(V2,V4,V5), P_compose-{F}(V4,V6,V7), P_response-{F}(V6,V8,V5), P_compose-{F}(V0,V9,V7), P_response-{F}(V9,V8,V5) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #116: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #108 ), references = 1, size of lhs = 10:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V3,V1), P_compose-{F}(V3,V0,V0), P_compose-{F}(V0,V4,V0), P_compose-{F}(V2,V5,V6), P_response-{F}(V4,V7,V6), P_compose-{F}(V5,V8,V7), P_response-{F}(V8,V7,V6) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #136: mergings( V3 == V4, V4 == V5; #133 ), references = 4, size of lhs = 7:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V2,V3), P_response-{F}(V3,V4,V4), P_compose-{F}(V2,V5,V6), P_response-{F}(V5,V7,V4) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #154: mergings( V3 == V4, V4 == V5, V5 == V6; #150 ), references = 10, size of lhs = 9:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V2,V3,V4), P_response-{F}(V3,V5,V6), P_compose-{F}(V7,V8,V1), P_compose-{F}(V8,V2,V9), P_response-{F}(V9,V6,V10), P_response-{F}(V7,V10,V6) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #209: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #202 ), references = 1, size of lhs = 14:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V2,V3), P_compose-{F}(V3,V4,V5), P_compose-{F}(V2,V4,V6), P_compose-{F}(V4,V7,V8), P_compose-{F}(V8,V9,V5), P_compose-{F}(V10,V11,V8), P_compose-{F}(V10,V12,V13), P_response-{F}(V12,V14,V15), P_response-{F}(V11,V16,V15), P_response-{F}(V7,V16,V17), P_response-{F}(V9,V17,V16) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #218: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #203 ), references = 2, size of lhs = 20:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V2,V3,V4), P_compose-{F}(V3,V5,V6), P_compose-{F}(V7,V6,V6), P_compose-{F}(V7,V8,V1), P_compose-{F}(V8,V2,V9), P_compose-{F}(V6,V10,V11), P_response-{F}(V10,V12,V13), P_response-{F}(V5,V13,V14), P_compose-{F}(V9,V15,V16), P_compose-{F}(V15,V17,V18), P_compose-{F}(V18,V19,V16), P_compose-{F}(V20,V21,V18), P_compose-{F}(V20,V22,V11), P_response-{F}(V22,V12,V23), P_response-{F}(V21,V24,V23), P_response-{F}(V17,V24,V25), P_response-{F}(V19,V25,V24) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #275: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #268 ), references = 1, size of lhs = 6:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V3,V1), P_compose-{F}(V3,V0,V0), P_compose-{F}(V2,V0,V4) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #281: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #276 ), references = 1, size of lhs = 5:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V3,V1), P_compose-{F}(V3,V0,V0) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #297: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #292 ), references = 9, size of lhs = 8:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_compose-{F}(V1,V2,V0), P_response-{F}(V2,V3,V4), P_response-{F}(V5,V3,V4), P_compose-{F}(V6,V0,V5), P_compose-{F}(V1,V6,V7), P_compose-{F}(V7,V0,V8), P_response-{F}(V8,V3,V9) | P_response-{T}(V3,V3,V9)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #299: exists( #5, #154 ), references = 8, size of lhs = 8:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V1), P_compose-{F}(V4,V2,V5), P_response-{F}(V3,V6,V7), P_response-{F}(V5,V7,V6), P_response-{F}(V8,V9,V7) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #317: mergings( V3 == V4, V4 == V5; #314 ), references = 1, size of lhs = 10:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V2,V3), P_compose-{F}(V4,V0,V5), P_compose-{F}(V6,V5,V0), P_compose-{F}(V6,V4,V7), P_compose-{F}(V7,V0,V5), P_compose-{F}(V3,V5,V8), P_compose-{F}(V2,V5,V9) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #326: mergings( V3 == V4, V4 == V5, V5 == V6, V19 == V21; #321 ), references = 1, size of lhs = 19:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V5,V3,V6), P_compose-{F}(V6,V0,V4), P_compose-{F}(V7,V4,V4), P_compose-{F}(V2,V8,V9), P_compose-{F}(V8,V10,V11), P_compose-{F}(V12,V11,V11), P_compose-{F}(V12,V13,V1), P_compose-{F}(V13,V2,V14), P_compose-{F}(V11,V10,V15), P_compose-{F}(V16,V10,V15), P_compose-{F}(V17,V10,V15), P_compose-{F}(V14,V17,V18), P_compose-{F}(V15,V7,V18), P_compose-{F}(V10,V4,V19) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #347: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #340 ), references = 1, size of lhs = 11:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V5,V3,V6), P_compose-{F}(V6,V0,V4), P_compose-{F}(V7,V4,V0), P_compose-{F}(V7,V8,V1), P_compose-{F}(V8,V2,V9), P_compose-{F}(V9,V4,V10) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #352: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #341 ), references = 1, size of lhs = 12:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V5,V3,V6), P_compose-{F}(V6,V0,V4), P_compose-{F}(V2,V4,V7), P_compose-{F}(V8,V4,V0), P_compose-{F}(V8,V9,V1), P_compose-{F}(V9,V2,V10), P_compose-{F}(V10,V4,V11) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #359: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #353 ), references = 1, size of lhs = 10:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V5,V3,V6), P_compose-{F}(V6,V0,V4), P_compose-{F}(V7,V4,V0), P_compose-{F}(V7,V8,V1), P_compose-{F}(V8,V2,V9) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #364: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #354 ), references = 1, size of lhs = 10:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V2,V2), P_compose-{F}(V4,V3,V1), P_compose-{F}(V4,V5,V0), P_compose-{F}(V6,V0,V5), P_compose-{F}(V7,V5,V0), P_compose-{F}(V7,V6,V8), P_compose-{F}(V8,V0,V5) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #370: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #365 ), references = 1, size of lhs = 9:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V5,V3,V6), P_compose-{F}(V6,V0,V4), P_compose-{F}(V7,V4,V0), P_compose-{F}(V7,V8,V1) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #400: mergings( V2 == V3, V3 == V4; #397 ), references = 1, size of lhs = 6:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V2,V3), P_compose-{F}(V3,V0,V4), P_compose-{F}(V2,V0,V5) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #404: mergings( V1 == V3, V3 == V4; #401 ), references = 1, size of lhs = 4:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V2,V2) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #418: mergings( V3 == V0; #415 ), references = 1, size of lhs = 6:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_compose-{F}(V1,V0,V2), P_compose-{F}(V3,V2,V0), P_compose-{F}(V3,V1,V4), P_compose-{F}(V4,V0,V5), P_response-{F}(V5,V2,V6) | P_response-{T}(V0,V2,V6)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #436: mergings( V0 == V3, V3 == V4; #433 ), references = 1, size of lhs = 4:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_compose-{F}(V1,V2,V2), P_compose-{F}(V1,V0,V3), P_response-{F}(V3,V2,V4) | P_response-{T}(V0,V2,V4)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #453: mergings( V3 == V4, V4 == V5, V5 == V6; #449 ), references = 4, size of lhs = 8:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_compose-{F}(V1,V2,V3), P_response-{F}(V2,V4,V5), P_response-{F}(V6,V4,V5), P_compose-{F}(V7,V6,V3), P_compose-{F}(V8,V1,V7), P_compose-{F}(V8,V3,V9), P_response-{F}(V9,V4,V10) | P_response-{T}(V3,V4,V10)
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #490: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #483 ), references = 1, size of lhs = 9:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V3,V0), P_compose-{F}(V4,V3,V0), P_compose-{F}(V5,V0,V3), P_compose-{F}(V5,V4,V6), P_compose-{F}(V6,V3,V0), P_compose-{F}(V2,V3,V7) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #495: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #484 ), references = 2, size of lhs = 11:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V3,V5,V6), P_compose-{F}(V6,V4,V0), P_compose-{F}(V7,V4,V0), P_compose-{F}(V7,V8,V1), P_compose-{F}(V8,V2,V9), P_compose-{F}(V9,V4,V10) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #500: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #485 ), references = 2, size of lhs = 12:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V3,V5,V6), P_compose-{F}(V6,V4,V0), P_compose-{F}(V2,V4,V7), P_compose-{F}(V8,V4,V0), P_compose-{F}(V8,V9,V1), P_compose-{F}(V9,V2,V10), P_compose-{F}(V10,V4,V11) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #508: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #501 ), references = 1, size of lhs = 8:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V3,V0), P_compose-{F}(V4,V3,V0), P_compose-{F}(V5,V0,V3), P_compose-{F}(V5,V4,V6), P_compose-{F}(V6,V3,V0) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #558: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #550 ), references = 1, size of lhs = 11:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V1,V3), P_compose-{F}(V1,V4,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V6,V0,V4), P_compose-{F}(V5,V6,V7), P_compose-{F}(V7,V0,V8), P_compose-{F}(V3,V4,V8), P_compose-{F}(V2,V4,V9) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #565: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #551 ), references = 1, size of lhs = 14:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V5,V3,V6), P_compose-{F}(V6,V0,V7), P_compose-{F}(V8,V4,V4), P_compose-{F}(V8,V8,V9), P_compose-{F}(V9,V4,V7), P_compose-{F}(V10,V9,V9), P_compose-{F}(V10,V11,V1), P_compose-{F}(V11,V2,V12), P_compose-{F}(V12,V4,V13) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #572: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #552 ), references = 1, size of lhs = 15:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V5,V3,V6), P_compose-{F}(V6,V0,V7), P_compose-{F}(V2,V4,V8), P_compose-{F}(V9,V4,V4), P_compose-{F}(V9,V9,V10), P_compose-{F}(V10,V4,V7), P_compose-{F}(V11,V10,V10), P_compose-{F}(V11,V12,V1), P_compose-{F}(V12,V2,V13), P_compose-{F}(V13,V4,V14) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #620: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #611 ), references = 1, size of lhs = 8:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V1,V3), P_compose-{F}(V4,V3,V3), P_compose-{F}(V1,V5,V5), P_compose-{F}(V4,V5,V0), P_compose-{F}(V2,V5,V6) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #627: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #612 ), references = 1, size of lhs = 10:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V1), P_compose-{F}(V4,V2,V5), P_compose-{F}(V3,V6,V0), P_compose-{F}(V7,V6,V6), P_compose-{F}(V7,V7,V8), P_compose-{F}(V3,V8,V8), P_compose-{F}(V5,V6,V9) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #634: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #613 ), references = 1, size of lhs = 11:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V1), P_compose-{F}(V4,V2,V5), P_compose-{F}(V3,V6,V0), P_compose-{F}(V7,V6,V6), P_compose-{F}(V7,V7,V8), P_compose-{F}(V3,V8,V8), P_compose-{F}(V5,V6,V9), P_compose-{F}(V2,V6,V10) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #669: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #661 ), references = 1, size of lhs = 7:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V1,V3), P_compose-{F}(V1,V4,V4), P_compose-{F}(V3,V4,V0), P_compose-{F}(V2,V4,V5) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #675: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #662 ), references = 1, size of lhs = 9:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V2,V4), P_compose-{F}(V5,V3,V1), P_compose-{F}(V6,V6,V5), P_compose-{F}(V6,V7,V7), P_compose-{F}(V5,V7,V0), P_compose-{F}(V4,V7,V8) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #681: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #663 ), references = 1, size of lhs = 10:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V4), P_compose-{F}(V2,V4,V5), P_compose-{F}(V3,V3,V6), P_compose-{F}(V6,V4,V0), P_compose-{F}(V6,V7,V1), P_compose-{F}(V7,V2,V8), P_compose-{F}(V8,V4,V9) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #684: exists( #5, #495 ), references = 1, size of lhs = 10:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V4,V0), P_compose-{F}(V3,V5,V6), P_compose-{F}(V6,V4,V0), P_compose-{F}(V7,V4,V0), P_compose-{F}(V7,V8,V1), P_compose-{F}(V8,V2,V9) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #685: exists( #5, #500 ), references = 1, size of lhs = 10:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V2,V2), P_compose-{F}(V4,V3,V1), P_compose-{F}(V4,V5,V0), P_compose-{F}(V6,V0,V5), P_compose-{F}(V7,V5,V0), P_compose-{F}(V6,V7,V8), P_compose-{F}(V8,V5,V0) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #729: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #719 ), references = 1, size of lhs = 9:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V1,V3), P_compose-{F}(V3,V3,V4), P_compose-{F}(V5,V3,V4), P_compose-{F}(V1,V6,V6), P_compose-{F}(V5,V6,V0), P_compose-{F}(V2,V6,V7) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #737: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #720 ), references = 1, size of lhs = 12:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V1), P_compose-{F}(V4,V2,V5), P_compose-{F}(V3,V6,V0), P_compose-{F}(V5,V6,V7), P_compose-{F}(V8,V6,V6), P_compose-{F}(V8,V8,V9), P_compose-{F}(V3,V9,V10), P_compose-{F}(V9,V9,V10), P_compose-{F}(V2,V6,V11) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #747: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #721 ), references = 1, size of lhs = 13:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V1), P_compose-{F}(V4,V2,V5), P_compose-{F}(V3,V6,V0), P_compose-{F}(V5,V6,V7), P_compose-{F}(V8,V6,V6), P_compose-{F}(V8,V0,V9), P_compose-{F}(V8,V8,V10), P_compose-{F}(V3,V10,V11), P_compose-{F}(V10,V10,V11), P_compose-{F}(V10,V9,V12) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #778: mergings( V2 == V3, V3 == V4, V4 == V5; #773 ), references = 1, size of lhs = 9:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V1), P_compose-{F}(V4,V2,V5), P_compose-{F}(V3,V0,V6), P_compose-{F}(V5,V7,V8), P_response-{F}(V6,V8,V9), P_response-{F}(V7,V8,V9) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #782: mergings( V2 == V3, V3 == V4, V4 == V5; #774 ), references = 1, size of lhs = 10:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V2,V3,V4), P_compose-{F}(V3,V5,V1), P_compose-{F}(V5,V2,V6), P_compose-{F}(V3,V0,V7), P_compose-{F}(V6,V8,V9), P_response-{F}(V7,V9,V10), P_response-{F}(V8,V9,V10) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #788: mergings( V3 == V4, V4 == V5, V5 == V6; #783 ), references = 1, size of lhs = 7:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V1), P_compose-{F}(V4,V2,V5), P_compose-{F}(V3,V0,V6), P_compose-{F}(V5,V6,V7) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #794: mergings( V3 == V4, V4 == V5, V5 == V6; #789 ), references = 1, size of lhs = 6:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V1), P_compose-{F}(V4,V2,V5), P_compose-{F}(V3,V0,V6) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #799: mergings( V3 == V4, V4 == V5, V5 == V6; #795 ), references = 1, size of lhs = 5:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V1), P_compose-{F}(V3,V0,V5) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #804: mergings( V1 == V3, V3 == V4, V4 == V5; #800 ), references = 1, size of lhs = 4:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V3,V4,V1) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #814: mergings( V2 == V3, V3 == V4, V4 == V5; #810 ), references = 1, size of lhs = 8:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_compose-{F}(V1,V0,V2), P_response-{F}(V2,V3,V4), P_compose-{F}(V5,V1,V6), P_compose-{F}(V6,V0,V7), P_response-{F}(V7,V3,V8), P_response-{F}(V5,V4,V9), V8 == V9 | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #831: mergings( V2 == V3, V3 == V4, V4 == V5; #827 ), references = 1, size of lhs = 7:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V0,V3), P_compose-{F}(V2,V4,V5), P_response-{F}(V3,V5,V6), P_response-{F}(V4,V5,V6) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #836: mergings( V3 == V4, V4 == V5, V5 == V6; #832 ), references = 1, size of lhs = 5:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V0,V3), P_compose-{F}(V2,V3,V4) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #841: mergings( V3 == V4, V4 == V5, V5 == V6; #837 ), references = 1, size of lhs = 4:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V1,V0,V3) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #846: mergings( V1 == V3, V3 == V4, V4 == V5; #842 ), references = 1, size of lhs = 3:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #851: mergings( V1 == V2, V2 == V3, V3 == V4; #847 ), references = 1, size of lhs = 2:
% 44.54/44.75 P_mocking_bird-{F}(V0), P_a-{F}(V1) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #856: mergings( V1 == V2, V2 == V3, V3 == V4; #852 ), references = 1, size of lhs = 1:
% 44.54/44.75 P_mocking_bird-{F}(V0) | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 #858: exists( #4, #852 ), references = 1, size of lhs = 0:
% 44.54/44.75 FALSE | FALSE
% 44.54/44.75 (used 0 times, uses = {})
% 44.54/44.75
% 44.54/44.75 number of learnt formulas = 62
% 44.54/44.75
% 44.54/44.75
% 44.54/44.75 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.54/44.75
% 44.54/44.75 randbase = 1
%------------------------------------------------------------------------------