%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KRS138+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:07:31 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS138+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 10:37:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 GeoParameters:
% 0.18/0.45
% 0.18/0.45 tptp_input = 1
% 0.18/0.45 tptp_output = 0
% 0.18/0.45 nonempty = 1
% 0.18/0.45 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45
% 0.18/0.45 RuleSystem INPUT:
% 0.18/0.45
% 0.18/0.45 Initial Rules:
% 0.18/0.45 #0: input, references = 8, size of lhs = 1:
% 0.18/0.45 #-{F} V0 | cowlThing-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #1: input, references = 4, size of lhs = 1:
% 0.18/0.45 cowlNothing-{F}(V0) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #2: input, references = 5, size of lhs = 2:
% 0.18/0.45 xsd_string-{F}(V0), xsd_integer-{F}(V0) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #3: input, references = 4, size of lhs = 1:
% 0.18/0.45 #-{F} V0 | xsd_string-{T}(V0), xsd_integer-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #4: input, references = 6, size of lhs = 1:
% 0.18/0.45 cA-{F}(V0) | pppp0-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #5: input, references = 3, size of lhs = 1:
% 0.18/0.45 pppp0-{F}(V0) | cA-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #6: input, references = 6, size of lhs = 5:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1), pppp0-{F}(V2), V2 == V0, V2 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #7: input, references = 3, size of lhs = 2:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1) | pppp0-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #8: input, references = 3, size of lhs = 2:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1) | pppp0-{T}(V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #9: input, references = 9, size of lhs = 5:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1), requalityOnA-{F}(V2,V4), requalityOnA-{F}(V3,V4), V2 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #10: input, references = 6, size of lhs = 3:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1), requalityOnA-{F}(V3,V2) | cA-{T}(V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #11: input, references = 3, size of lhs = 2:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1) | cowlThing-{T}(V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #12: input, references = 5, size of lhs = 2:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1) | requalityOnA-{T}(V1,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #13: input, references = 3, size of lhs = 2:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1) | cowlThing-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #14: input, references = 4, size of lhs = 2:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1) | requalityOnA-{T}(V0,V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #15: input, references = 3, size of lhs = 3:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1), P_ic-{F}(V2) | cowlThing-{T}(V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #16: input, references = 5, size of lhs = 7:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1), P_ic-{F}(V2), cowlThing-{F}(V1), requalityOnA-{F}(V1,V1), cowlThing-{F}(V0), cowlThing-{F}(V2) | pppp7-{T}(), pppp8-{T}(), pppp9-{T}(V0,V1,V2), pppp10-{T}()
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #17: input, references = 4, size of lhs = 1:
% 0.18/0.45 pppp7-{F}() | EXISTS V0: pppp1-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #18: input, references = 4, size of lhs = 1:
% 0.18/0.45 pppp8-{F}() | EXISTS V0: pppp2-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #19: input, references = 4, size of lhs = 1:
% 0.18/0.45 pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V3,V0,V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #20: input, references = 5, size of lhs = 1:
% 0.18/0.45 pppp10-{F}() | EXISTS V0: pppp6-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #21: input, references = 5, size of lhs = 1:
% 0.18/0.45 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #22: input, references = 6, size of lhs = 2:
% 0.18/0.45 pppp5-{F}(V0,V1), requalityOnA-{F}(V1,V0) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #23: input, references = 9, size of lhs = 1:
% 0.18/0.45 pppp5-{F}(V0,V1) | requalityOnA-{T}(V0,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #24: input, references = 4, size of lhs = 1:
% 0.18/0.45 pppp4-{F}(V0,V1,V2,V3) | EXISTS V4: pppp3-{T}(V0,V4)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #25: input, references = 3, size of lhs = 1:
% 0.18/0.45 pppp4-{F}(V3,V1,V2,V3) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #26: input, references = 4, size of lhs = 1:
% 0.18/0.45 pppp4-{F}(V1,V1,V2,V3) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #27: input, references = 5, size of lhs = 1:
% 0.18/0.45 pppp4-{F}(V2,V1,V2,V3) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #28: input, references = 6, size of lhs = 1:
% 0.18/0.45 pppp3-{F}(V0,V1) | requalityOnA-{T}(V0,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #29: input, references = 4, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0), xsd_string-{F}(V0) | xsd_integer-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #30: input, references = 4, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0), xsd_integer-{F}(V0) | xsd_string-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #31: input, references = 4, size of lhs = 2:
% 0.18/0.45 pppp1-{F}(V0), cowlThing-{F}(V0) | cowlNothing-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #32: input, references = 4, size of lhs = 0:
% 0.18/0.45 FALSE | EXISTS V0: P_ib-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #33: input, references = 4, size of lhs = 0:
% 0.18/0.45 FALSE | EXISTS V0: P_ia-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #34: input, references = 5, size of lhs = 0:
% 0.18/0.45 FALSE | EXISTS V0: P_ic-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 number of initial rules = 35
% 0.18/0.45
% 0.18/0.45 Simplifiers:
% 0.18/0.45 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 cowlNothing-{F}(V0), cowlNothing-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_ib-{F}(V0), P_ib-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_ia-{F}(V0), P_ia-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_ic-{F}(V0), P_ic-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #40: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #41: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #42: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #43: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #44: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #45: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #50: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #51: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 number of simplifiers = 17
% 0.18/0.45
% 0.18/0.45 Learnt:
% 0.18/0.45 #58: mergings( V2 == V4, V3 == V5; #55 ), references = 1, size of lhs = 3:
% 0.18/0.45 pppp6-{F}(V0), P_ib-{F}(V1), P_ia-{F}(V2) | pppp5-{T}(V0,V1), pppp5-{T}(V0,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #62: mergings( V1 == V3, V2 == V4; #59 ), references = 4, size of lhs = 4:
% 0.18/0.45 pppp6-{F}(V0), P_ib-{F}(V1), requalityOnA-{F}(V1,V0), P_ia-{F}(V2) | pppp5-{T}(V0,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #76: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #71 ), references = 3, size of lhs = 5:
% 0.18/0.45 pppp6-{F}(V0), P_ib-{F}(V1), P_ia-{F}(V2), requalityOnA-{F}(V3,V1), V3 == V0 | pppp5-{T}(V0,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #86: mergings( V1 == V3, V3 == V5, V5 == V8, V2 == V4, V4 == V6, V6 == V9; #79 ), references = 1, size of lhs = 5:
% 0.18/0.45 pppp10-{F}(), P_ib-{F}(V0), requalityOnA-{F}(V1,V0), P_ia-{F}(V2), requalityOnA-{F}(V3,V2) | pppp6-{T}(V1), pppp6-{T}(V3)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #97: mergings( V0 == V2, V2 == V4, V4 == V7, V7 == V10, V1 == V3, V3 == V5, V5 == V8, V8 == V11; #88 ), references = 1, size of lhs = 7:
% 0.18/0.45 pppp10-{F}(), P_ib-{F}(V0), requalityOnA-{F}(V0,V1), requalityOnA-{F}(V1,V0), P_ia-{F}(V2), requalityOnA-{F}(V2,V1), requalityOnA-{F}(V3,V2) | pppp6-{T}(V3)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #107: mergings( V5 == V7, V6 == V8; #104 ), references = 1, size of lhs = 3:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1), pppp4-{F}(V2,V3,V4,V5) | pppp3-{T}(V2,V0), pppp3-{T}(V2,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #114: mergings( V0 == V2, V2 == V8, V1 == V3, V3 == V9; #109 ), references = 1, size of lhs = 5:
% 0.18/0.45 P_ib-{F}(V0), P_ia-{F}(V1), requalityOnA-{F}(V2,V0), pppp4-{F}(V3,V4,V5,V6), V2 == V3 | pppp3-{T}(V3,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #124: mergings( V4 == V6, V6 == V8, V8 == V11, V5 == V7, V7 == V9, V9 == V12; #117 ), references = 1, size of lhs = 5:
% 0.18/0.45 P_ib-{F}(V0), requalityOnA-{F}(V1,V0), P_ia-{F}(V2), requalityOnA-{F}(V3,V2), pppp9-{F}(V4,V5,V6) | pppp4-{T}(V1,V4,V5,V6), pppp4-{T}(V3,V4,V5,V6)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #133: mergings( V0 == V2, V2 == V4, V4 == V7, V1 == V3, V3 == V5, V5 == V8; #125 ), references = 2, size of lhs = 5:
% 0.18/0.45 P_ib-{F}(V0), requalityOnA-{F}(V1,V0), P_ia-{F}(V2), requalityOnA-{F}(V3,V2), pppp9-{F}(V1,V4,V5) | pppp4-{T}(V3,V1,V4,V5)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #140: mergings( V0 == V2, V2 == V4, V4 == V7, V1 == V3, V3 == V5, V5 == V8; #126 ), references = 1, size of lhs = 5:
% 0.18/0.45 P_ib-{F}(V0), requalityOnA-{F}(V1,V0), P_ia-{F}(V2), requalityOnA-{F}(V3,V2), pppp9-{F}(V4,V1,V5) | pppp4-{T}(V3,V4,V1,V5)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #165: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V24; #143 ), references = 1, size of lhs = 15:
% 0.18/0.45 cowlThing-{F}(V0), requalityOnA-{F}(V0,V0), P_ib-{F}(V0), cowlThing-{F}(V1), requalityOnA-{F}(V1,V1), requalityOnA-{F}(V0,V1), P_ia-{F}(V1), P_ic-{F}(V2), cowlThing-{F}(V2), requalityOnA-{F}(V0,V3), requalityOnA-{F}(V3,V0), requalityOnA-{F}(V1,V3), requalityOnA-{F}(V0,V4), requalityOnA-{F}(V4,V1), requalityOnA-{F}(V1,V4) | pppp7-{T}(), pppp8-{T}()
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #186: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V24; #144 ), references = 1, size of lhs = 14:
% 0.18/0.45 cowlThing-{F}(V0), requalityOnA-{F}(V0,V0), P_ib-{F}(V0), cowlThing-{F}(V1), requalityOnA-{F}(V1,V1), P_ia-{F}(V1), P_ic-{F}(V2), cowlThing-{F}(V2), requalityOnA-{F}(V0,V3), requalityOnA-{F}(V3,V0), requalityOnA-{F}(V1,V3), requalityOnA-{F}(V0,V4), requalityOnA-{F}(V4,V1), requalityOnA-{F}(V1,V4) | pppp7-{T}(), pppp8-{T}()
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #190: disj( #3, #30+#2 ), references = 1, size of lhs = 1:
% 0.18/0.45 pppp2-{F}(V0) | xsd_string-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #194: exists( #18, #192 ), references = 2, size of lhs = 1:
% 0.18/0.45 pppp8-{F}() | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #216: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V24; #195 ), references = 2, size of lhs = 15:
% 0.18/0.45 cowlThing-{F}(V0), requalityOnA-{F}(V0,V0), P_ib-{F}(V0), cowlThing-{F}(V1), requalityOnA-{F}(V1,V1), requalityOnA-{F}(V0,V1), P_ia-{F}(V1), P_ic-{F}(V2), cowlThing-{F}(V2), requalityOnA-{F}(V0,V3), requalityOnA-{F}(V3,V0), requalityOnA-{F}(V1,V3), requalityOnA-{F}(V0,V4), requalityOnA-{F}(V4,V1), requalityOnA-{F}(V1,V4) | pppp7-{T}()
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #221: exists( #17, #219 ), references = 2, size of lhs = 1:
% 0.18/0.45 pppp7-{F}() | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #226: exists( #34, #224 ), references = 2, size of lhs = 13:
% 0.18/0.45 cowlThing-{F}(V0), requalityOnA-{F}(V0,V0), P_ib-{F}(V0), cowlThing-{F}(V1), requalityOnA-{F}(V1,V1), requalityOnA-{F}(V0,V1), P_ia-{F}(V1), requalityOnA-{F}(V0,V2), requalityOnA-{F}(V2,V0), requalityOnA-{F}(V1,V2), requalityOnA-{F}(V0,V3), requalityOnA-{F}(V3,V1), requalityOnA-{F}(V1,V3) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #240: mergings( V0 == V3, V3 == V6, V1 == V4, V4 == V7; #235 ), references = 1, size of lhs = 8:
% 0.18/0.45 pppp10-{F}(), P_ib-{F}(V0), requalityOnA-{F}(V1,V0), P_ia-{F}(V2), requalityOnA-{F}(V2,V3), requalityOnA-{F}(V3,V2), requalityOnA-{F}(V4,V0), V4 == V3 | pppp6-{T}(V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #255: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V14, V1 == V4, V4 == V6, V6 == V8, V8 == V13, V13 == V15; #244 ), references = 1, size of lhs = 15:
% 0.18/0.45 cowlThing-{F}(V0), P_ib-{F}(V0), cowlThing-{F}(V1), requalityOnA-{F}(V1,V1), P_ia-{F}(V1), P_ic-{F}(V2), cowlThing-{F}(V2), requalityOnA-{F}(V1,V3), requalityOnA-{F}(V3,V1), requalityOnA-{F}(V4,V0), V4 == V3, requalityOnA-{F}(V0,V5), requalityOnA-{F}(V5,V0), requalityOnA-{F}(V6,V1), V6 == V5 | pppp8-{T}(), pppp9-{T}(V0,V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #270: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V14, V14 == V17, V1 == V4, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V18; #257 ), references = 2, size of lhs = 16:
% 0.18/0.45 cowlThing-{F}(V0), P_ib-{F}(V0), requalityOnA-{F}(V0,V0), cowlThing-{F}(V1), P_ia-{F}(V1), requalityOnA-{F}(V1,V1), P_ic-{F}(V2), cowlThing-{F}(V2), requalityOnA-{F}(V1,V3), requalityOnA-{F}(V3,V1), requalityOnA-{F}(V4,V0), V4 == V3, requalityOnA-{F}(V0,V5), requalityOnA-{F}(V5,V0), requalityOnA-{F}(V6,V1), V6 == V5 | pppp8-{T}()
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #275: exists( #34, #273 ), references = 1, size of lhs = 14:
% 0.18/0.45 cowlThing-{F}(V0), P_ib-{F}(V0), requalityOnA-{F}(V0,V0), cowlThing-{F}(V1), P_ia-{F}(V1), requalityOnA-{F}(V1,V1), requalityOnA-{F}(V1,V2), requalityOnA-{F}(V2,V1), requalityOnA-{F}(V3,V0), V3 == V2, requalityOnA-{F}(V0,V4), requalityOnA-{F}(V4,V0), requalityOnA-{F}(V5,V1), V5 == V4 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #281: mergings( V1 == V2; #279 ), references = 1, size of lhs = 2:
% 0.18/0.45 cowlThing-{F}(V0), P_ib-{F}(V0) | P_ia-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #286: exists( #32, #284 ), references = 1, size of lhs = 0:
% 0.18/0.45 FALSE | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 number of learnt formulas = 23
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45
% 0.18/0.45 randbase = 1
%------------------------------------------------------------------------------