TSTP Solution File: ALG012-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG012-1 : TPTP v8.1.0. Released v2.7.0.
% 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 05:57:07 EDT 2022
% Result : Unsatisfiable 1.20s 1.39s
% Output : Refutation 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG012-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % 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 10:48:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.20/1.39 GeoParameters:
% 1.20/1.39
% 1.20/1.39 tptp_input = 1
% 1.20/1.39 tptp_output = 0
% 1.20/1.39 nonempty = 1
% 1.20/1.39 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.20/1.39 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.20/1.39
% 1.20/1.39
% 1.20/1.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.20/1.39 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.20/1.39
% 1.20/1.39 RuleSystem INPUT:
% 1.20/1.39
% 1.20/1.39 Initial Rules:
% 1.20/1.39 #0: input, references = 5, size of lhs = 5:
% 1.20/1.39 P_f-{F}(V1,V2,V3), P_f-{F}(V0,V3,V4), P_f-{F}(V0,V1,V5), P_f-{F}(V5,V2,V6), V4 == V6 | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #1: input, references = 9, size of lhs = 1:
% 1.20/1.39 #-{F} V0 | c-{T}(V0), d1-{T}(V0), d2-{T}(V0)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #2: input, references = 6, size of lhs = 2:
% 1.20/1.39 c-{F}(V0), d1-{F}(V0) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #3: input, references = 5, size of lhs = 2:
% 1.20/1.39 c-{F}(V0), d2-{F}(V0) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #4: input, references = 4, size of lhs = 2:
% 1.20/1.39 d1-{F}(V0), d2-{F}(V0) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #5: input, references = 3, size of lhs = 1:
% 1.20/1.39 P_a1-{F}(V0) | c-{T}(V0)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #6: input, references = 3, size of lhs = 2:
% 1.20/1.39 P_a1-{F}(V0), P_a2-{F}(V1) | d1-{T}(V1)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #7: input, references = 4, size of lhs = 3:
% 1.20/1.39 P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2) | d2-{T}(V2)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #8: input, references = 5, size of lhs = 6:
% 1.20/1.39 P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2), c-{F}(V3), P_f-{F}(V4,V3,V5), c-{F}(V4) | d2-{T}(V5), d1-{T}(V5)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #9: input, references = 10, size of lhs = 6:
% 1.20/1.39 P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2), d1-{F}(V3), P_f-{F}(V4,V3,V5), d1-{F}(V4) | c-{T}(V5)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #10: input, references = 5, size of lhs = 6:
% 1.20/1.39 P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2), d2-{F}(V3), P_f-{F}(V4,V3,V5), d2-{F}(V4) | c-{T}(V5)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #11: input, references = 16, size of lhs = 2:
% 1.20/1.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_f-{T}(V0,V1,V2)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #12: input, references = 4, size of lhs = 0:
% 1.20/1.39 FALSE | EXISTS V0: P_a1-{T}(V0)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #13: input, references = 4, size of lhs = 0:
% 1.20/1.39 FALSE | EXISTS V0: P_a2-{T}(V0)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #14: input, references = 4, size of lhs = 0:
% 1.20/1.39 FALSE | EXISTS V0: P_a3-{T}(V0)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 number of initial rules = 15
% 1.20/1.39
% 1.20/1.39 Simplifiers:
% 1.20/1.39 #15: unsound, references = 3, size of lhs = 3:
% 1.20/1.39 P_f-{F}(V0,V1,V2), P_f-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #16: unsound, references = 3, size of lhs = 3:
% 1.20/1.39 P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #17: unsound, references = 3, size of lhs = 3:
% 1.20/1.39 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #18: unsound, references = 3, size of lhs = 3:
% 1.20/1.39 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 number of simplifiers = 4
% 1.20/1.39
% 1.20/1.39 Learnt:
% 1.20/1.39 #23: disj( #8, input ), references = 5, size of lhs = 7:
% 1.20/1.39 P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2), c-{F}(V3), c-{F}(V4), P_f-{F}(V4,V3,V5), c-{F}(V5) | d1-{T}(V5)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #26: exists( #11, #0 ), references = 22, size of lhs = 3:
% 1.20/1.39 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V2,V4), P_f-{F}(V3,V0,V5) | P_f-{T}(V5,V1,V4)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #41: mergings( V3 == V8, V4 == V9, V5 == V10; #37 ), references = 4, size of lhs = 9:
% 1.20/1.39 d2-{F}(V0), d2-{F}(V1), P_a1-{F}(V2), P_a2-{F}(V3), P_a3-{F}(V4), c-{F}(V5), c-{F}(V6), P_f-{F}(V7,V0,V5), P_f-{F}(V6,V7,V1) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #47: exists( #11, #0 ), references = 19, size of lhs = 3:
% 1.20/1.39 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V4,V1,V5) | P_f-{T}(V3,V2,V5)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #59: mergings( V3 == V8, V4 == V9, V5 == V10; #55 ), references = 3, size of lhs = 11:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), d2-{F}(V2), d2-{F}(V3), P_a1-{F}(V4), P_a2-{F}(V5), P_a3-{F}(V6), c-{F}(V7), P_f-{F}(V7,V8,V3), P_f-{F}(V9,V0,V2), P_f-{F}(V8,V9,V1) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #76: mergings( V3 == V10, V4 == V11, V5 == V12; #71 ), references = 1, size of lhs = 14:
% 1.20/1.39 d2-{F}(V0), d2-{F}(V1), c-{F}(V2), P_f-{F}(V2,V3,V1), P_f-{F}(V3,V0,V4), d1-{F}(V5), d1-{F}(V6), P_a1-{F}(V7), P_a2-{F}(V8), P_a3-{F}(V9), c-{F}(V10), P_f-{F}(V10,V11,V4), P_f-{F}(V12,V5,V4), P_f-{F}(V11,V12,V6) | d1-{T}(V4)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #80: mergings( V3 == V8, V4 == V9, V5 == V10; #72 ), references = 4, size of lhs = 12:
% 1.20/1.39 d2-{F}(V0), d2-{F}(V1), c-{F}(V2), P_f-{F}(V2,V3,V1), P_f-{F}(V3,V0,V4), P_a1-{F}(V5), P_a2-{F}(V6), P_a3-{F}(V7), c-{F}(V8), c-{F}(V9), P_f-{F}(V10,V4,V8), P_f-{F}(V9,V10,V4) | d1-{T}(V4)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #87: disj( #8, input ), references = 3, size of lhs = 7:
% 1.20/1.39 P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2), c-{F}(V3), c-{F}(V4), P_f-{F}(V4,V3,V5), c-{F}(V5) | d2-{T}(V5)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #100: mergings( V1 == V8, V2 == V9, V3 == V10; #91 ), references = 4, size of lhs = 12:
% 1.20/1.39 c-{F}(V0), c-{F}(V1), P_f-{F}(V1,V0,V2), d1-{F}(V3), d1-{F}(V4), P_a1-{F}(V5), P_a2-{F}(V6), P_a3-{F}(V7), c-{F}(V8), P_f-{F}(V8,V9,V2), P_f-{F}(V10,V3,V2), P_f-{F}(V9,V10,V4) | d1-{T}(V2)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #107: mergings( V1 == V8, V8 == V16, V2 == V9, V9 == V17, V3 == V10, V10 == V18; #93 ), references = 1, size of lhs = 18:
% 1.20/1.39 c-{F}(V0), c-{F}(V1), P_f-{F}(V1,V0,V2), d1-{F}(V3), d1-{F}(V4), c-{F}(V5), P_f-{F}(V5,V6,V2), P_f-{F}(V7,V3,V2), P_f-{F}(V6,V7,V4), d1-{F}(V8), d1-{F}(V9), P_a1-{F}(V10), P_a2-{F}(V11), P_a3-{F}(V12), c-{F}(V13), P_f-{F}(V13,V14,V2), P_f-{F}(V15,V8,V2), P_f-{F}(V14,V15,V9) | d1-{T}(V2)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #178: mergings( V3 == V8, V4 == V9, V5 == V10; #172 ), references = 3, size of lhs = 13:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), P_a1-{F}(V2), P_a2-{F}(V3), P_a3-{F}(V4), c-{F}(V5), c-{F}(V6), P_f-{F}(V7,V5,V8), P_f-{F}(V9,V7,V6), P_f-{F}(V10,V0,V8), P_f-{F}(V9,V10,V1), P_f-{F}(V11,V12,V8), P_f-{F}(V9,V11,V13) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #182: mergings( V3 == V8, V4 == V9, V5 == V10; #173 ), references = 3, size of lhs = 13:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), P_a1-{F}(V2), P_a2-{F}(V3), P_a3-{F}(V4), c-{F}(V5), c-{F}(V6), P_f-{F}(V7,V5,V8), P_f-{F}(V9,V7,V6), P_f-{F}(V10,V0,V8), P_f-{F}(V9,V10,V1), P_f-{F}(V11,V12,V8), P_f-{F}(V9,V11,V13) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #189: mergings( V3 == V8, V8 == V11, V4 == V9, V9 == V12, V5 == V10, V10 == V13; #174 ), references = 2, size of lhs = 13:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), P_a1-{F}(V2), P_a2-{F}(V3), P_a3-{F}(V4), c-{F}(V5), c-{F}(V6), P_f-{F}(V7,V5,V8), P_f-{F}(V9,V7,V6), P_f-{F}(V10,V0,V8), P_f-{F}(V9,V10,V1), P_f-{F}(V11,V12,V8), P_f-{F}(V9,V11,V13) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #209: mergings( V7 == V13, V3 == V8, V4 == V9, V5 == V10; #202 ), references = 1, size of lhs = 13:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), d1-{F}(V2), d1-{F}(V3), P_a1-{F}(V4), P_a2-{F}(V5), P_a3-{F}(V6), c-{F}(V7), P_f-{F}(V8,V8,V3), P_f-{F}(V9,V7,V0), P_f-{F}(V1,V9,V2), P_f-{F}(V10,V0,V2), P_f-{F}(V8,V10,V1) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #214: mergings( V7 == V13, V3 == V8, V4 == V9, V5 == V10; #203 ), references = 1, size of lhs = 13:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), d1-{F}(V2), d1-{F}(V3), P_a1-{F}(V4), P_a2-{F}(V5), P_a3-{F}(V6), c-{F}(V7), P_f-{F}(V8,V8,V3), P_f-{F}(V9,V7,V0), P_f-{F}(V1,V9,V2), P_f-{F}(V10,V0,V2), P_f-{F}(V8,V10,V1) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #219: mergings( V7 == V13, V3 == V8, V4 == V9, V5 == V10; #204 ), references = 1, size of lhs = 13:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), d1-{F}(V2), d1-{F}(V3), P_a1-{F}(V4), P_a2-{F}(V5), P_a3-{F}(V6), c-{F}(V7), P_f-{F}(V8,V8,V3), P_f-{F}(V9,V7,V0), P_f-{F}(V1,V9,V2), P_f-{F}(V10,V0,V2), P_f-{F}(V8,V10,V1) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #242: mergings( V5 == V14, V2 == V6, V6 == V10, V10 == V15, V3 == V7, V7 == V11, V11 == V16, V4 == V8, V8 == V12, V12 == V17; #229 ), references = 2, size of lhs = 13:
% 1.20/1.39 c-{F}(V0), d1-{F}(V1), d1-{F}(V2), P_f-{F}(V0,V3,V2), P_a1-{F}(V4), P_a2-{F}(V5), P_a3-{F}(V6), c-{F}(V7), P_f-{F}(V8,V7,V1), P_f-{F}(V9,V8,V0), P_f-{F}(V0,V9,V2), P_f-{F}(V10,V0,V1), P_f-{F}(V3,V10,V0) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #253: mergings( V5 == V14, V2 == V6, V6 == V10, V10 == V15, V3 == V7, V7 == V11, V11 == V16, V4 == V8, V8 == V12, V12 == V17; #230 ), references = 2, size of lhs = 13:
% 1.20/1.39 c-{F}(V0), d1-{F}(V1), d1-{F}(V2), P_f-{F}(V0,V3,V2), P_a1-{F}(V4), P_a2-{F}(V5), P_a3-{F}(V6), c-{F}(V7), P_f-{F}(V8,V7,V1), P_f-{F}(V9,V8,V0), P_f-{F}(V0,V9,V2), P_f-{F}(V10,V0,V1), P_f-{F}(V3,V10,V0) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #264: mergings( V5 == V14, V2 == V6, V6 == V10, V10 == V15, V3 == V7, V7 == V11, V11 == V16, V4 == V8, V8 == V12, V12 == V17; #231 ), references = 2, size of lhs = 13:
% 1.20/1.39 c-{F}(V0), d1-{F}(V1), d1-{F}(V2), P_f-{F}(V0,V3,V2), P_a1-{F}(V4), P_a2-{F}(V5), P_a3-{F}(V6), c-{F}(V7), P_f-{F}(V8,V7,V1), P_f-{F}(V9,V8,V0), P_f-{F}(V0,V9,V2), P_f-{F}(V10,V0,V1), P_f-{F}(V3,V10,V0) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #274: mergings( V3 == V10, V4 == V11, V5 == V12; #268 ), references = 1, size of lhs = 16:
% 1.20/1.39 d2-{F}(V0), d2-{F}(V1), c-{F}(V2), P_f-{F}(V2,V3,V1), P_f-{F}(V3,V0,V4), c-{F}(V5), P_f-{F}(V5,V6,V4), P_a1-{F}(V7), P_a2-{F}(V8), P_a3-{F}(V9), c-{F}(V10), P_f-{F}(V11,V10,V4), P_f-{F}(V12,V11,V5), P_f-{F}(V5,V12,V4), P_f-{F}(V13,V5,V4), P_f-{F}(V6,V13,V5) | d2-{T}(V4)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #278: mergings( V3 == V10, V4 == V11, V5 == V12; #269 ), references = 1, size of lhs = 16:
% 1.20/1.39 d2-{F}(V0), d2-{F}(V1), c-{F}(V2), P_f-{F}(V2,V3,V1), P_f-{F}(V3,V0,V4), c-{F}(V5), P_f-{F}(V5,V6,V4), P_a1-{F}(V7), P_a2-{F}(V8), P_a3-{F}(V9), c-{F}(V10), P_f-{F}(V11,V10,V4), P_f-{F}(V12,V11,V5), P_f-{F}(V5,V12,V4), P_f-{F}(V13,V5,V4), P_f-{F}(V6,V13,V5) | d2-{T}(V4)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #282: mergings( V3 == V10, V4 == V11, V5 == V12; #270 ), references = 1, size of lhs = 16:
% 1.20/1.39 d2-{F}(V0), d2-{F}(V1), c-{F}(V2), P_f-{F}(V2,V3,V1), P_f-{F}(V3,V0,V4), c-{F}(V5), P_f-{F}(V5,V6,V4), P_a1-{F}(V7), P_a2-{F}(V8), P_a3-{F}(V9), c-{F}(V10), P_f-{F}(V11,V10,V4), P_f-{F}(V12,V11,V5), P_f-{F}(V5,V12,V4), P_f-{F}(V13,V5,V4), P_f-{F}(V6,V13,V5) | d2-{T}(V4)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #302: mergings( V3 == V16, V4 == V17, V5 == V18; #290 ), references = 5, size of lhs = 20:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), c-{F}(V2), c-{F}(V3), P_a1-{F}(V4), P_a2-{F}(V5), P_a3-{F}(V6), c-{F}(V7), P_f-{F}(V8,V2,V9), P_f-{F}(V10,V0,V9), P_f-{F}(V11,V10,V1), P_f-{F}(V11,V8,V12), P_f-{F}(V3,V13,V12), P_f-{F}(V14,V7,V12), P_f-{F}(V15,V14,V3), P_f-{F}(V3,V15,V12), P_f-{F}(V16,V3,V12), P_f-{F}(V13,V16,V3), P_f-{F}(V17,V18,V9), P_f-{F}(V11,V17,V19) | d2-{T}(V12)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #306: mergings( V3 == V16, V4 == V17, V5 == V18; #291 ), references = 1, size of lhs = 20:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), c-{F}(V2), c-{F}(V3), P_a1-{F}(V4), P_a2-{F}(V5), P_a3-{F}(V6), c-{F}(V7), P_f-{F}(V8,V2,V9), P_f-{F}(V10,V0,V9), P_f-{F}(V11,V10,V1), P_f-{F}(V11,V8,V12), P_f-{F}(V3,V13,V12), P_f-{F}(V14,V7,V12), P_f-{F}(V15,V14,V3), P_f-{F}(V3,V15,V12), P_f-{F}(V16,V3,V12), P_f-{F}(V13,V16,V3), P_f-{F}(V17,V18,V9), P_f-{F}(V11,V17,V19) | d2-{T}(V12)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #310: mergings( V3 == V16, V4 == V17, V5 == V18; #292 ), references = 1, size of lhs = 20:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), c-{F}(V2), c-{F}(V3), P_a1-{F}(V4), P_a2-{F}(V5), P_a3-{F}(V6), c-{F}(V7), P_f-{F}(V8,V2,V9), P_f-{F}(V10,V0,V9), P_f-{F}(V11,V10,V1), P_f-{F}(V11,V8,V12), P_f-{F}(V3,V13,V12), P_f-{F}(V14,V7,V12), P_f-{F}(V15,V14,V3), P_f-{F}(V3,V15,V12), P_f-{F}(V16,V3,V12), P_f-{F}(V13,V16,V3), P_f-{F}(V17,V18,V9), P_f-{F}(V11,V17,V19) | d2-{T}(V12)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #349: mergings( V3 == V21, V4 == V8, V8 == V13, V5 == V9, V9 == V14, V6 == V10, V10 == V15; #339 ), references = 1, size of lhs = 19:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), d2-{F}(V2), c-{F}(V3), c-{F}(V4), P_a1-{F}(V5), P_a2-{F}(V6), P_a3-{F}(V7), c-{F}(V8), P_f-{F}(V0,V0,V8), P_f-{F}(V8,V8,V1), P_f-{F}(V9,V8,V0), P_f-{F}(V8,V9,V0), P_f-{F}(V0,V2,V10), P_f-{F}(V11,V10,V3), P_f-{F}(V4,V11,V10), P_f-{F}(V0,V12,V10), P_f-{F}(V13,V0,V10), P_f-{F}(V12,V13,V8) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #357: mergings( V3 == V21, V4 == V8, V8 == V13, V5 == V9, V9 == V14, V6 == V10, V10 == V15; #340 ), references = 1, size of lhs = 25:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), d2-{F}(V2), c-{F}(V3), P_f-{F}(V0,V0,V3), P_f-{F}(V3,V3,V1), c-{F}(V4), c-{F}(V5), P_a1-{F}(V6), P_a2-{F}(V7), P_a3-{F}(V8), c-{F}(V9), c-{F}(V10), P_f-{F}(V11,V3,V0), P_f-{F}(V3,V11,V0), P_f-{F}(V0,V2,V12), P_f-{F}(V13,V12,V4), P_f-{F}(V5,V13,V12), P_f-{F}(V14,V9,V15), P_f-{F}(V16,V14,V10), P_f-{F}(V17,V12,V15), P_f-{F}(V16,V17,V12), P_f-{F}(V16,V18,V3), P_f-{F}(V18,V0,V19), P_f-{F}(V19,V20,V15) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #365: mergings( V3 == V21, V4 == V8, V8 == V13, V5 == V9, V9 == V14, V6 == V10, V10 == V15; #341 ), references = 1, size of lhs = 25:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), d2-{F}(V2), c-{F}(V3), P_f-{F}(V0,V0,V3), P_f-{F}(V3,V3,V1), c-{F}(V4), c-{F}(V5), P_a1-{F}(V6), P_a2-{F}(V7), P_a3-{F}(V8), c-{F}(V9), c-{F}(V10), P_f-{F}(V11,V3,V0), P_f-{F}(V3,V11,V0), P_f-{F}(V0,V2,V12), P_f-{F}(V13,V12,V4), P_f-{F}(V5,V13,V12), P_f-{F}(V14,V9,V15), P_f-{F}(V16,V14,V10), P_f-{F}(V17,V12,V15), P_f-{F}(V16,V17,V12), P_f-{F}(V16,V18,V3), P_f-{F}(V18,V0,V19), P_f-{F}(V19,V20,V15) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #382: mergings( V17 == V25, V6 == V11, V7 == V12, V8 == V13; #377 ), references = 1, size of lhs = 23:
% 1.20/1.39 d1-{F}(V0), d1-{F}(V1), c-{F}(V2), c-{F}(V3), c-{F}(V4), d2-{F}(V5), P_a1-{F}(V6), P_a2-{F}(V7), P_a3-{F}(V8), c-{F}(V9), c-{F}(V10), P_f-{F}(V11,V5,V9), P_f-{F}(V10,V11,V12), P_f-{F}(V3,V13,V12), P_f-{F}(V14,V4,V12), P_f-{F}(V15,V14,V3), P_f-{F}(V3,V15,V12), P_f-{F}(V16,V3,V12), P_f-{F}(V13,V16,V3), P_f-{F}(V17,V0,V2), P_f-{F}(V18,V17,V19), P_f-{F}(V20,V19,V1), P_f-{F}(V20,V18,V12) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #409: mergings( V3 == V11, V4 == V12, V5 == V13; #403 ), references = 1, size of lhs = 16:
% 1.20/1.39 c-{F}(V0), c-{F}(V1), d2-{F}(V2), P_a1-{F}(V3), P_a2-{F}(V4), P_a3-{F}(V5), c-{F}(V6), c-{F}(V7), P_f-{F}(V8,V2,V6), P_f-{F}(V7,V8,V9), P_f-{F}(V0,V10,V9), P_f-{F}(V11,V1,V9), P_f-{F}(V12,V11,V0), P_f-{F}(V0,V12,V9), P_f-{F}(V13,V0,V9), P_f-{F}(V10,V13,V0) | c-{T}(V9)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #413: mergings( V3 == V11, V4 == V12, V5 == V13; #404 ), references = 1, size of lhs = 16:
% 1.20/1.39 c-{F}(V0), c-{F}(V1), d2-{F}(V2), P_a1-{F}(V3), P_a2-{F}(V4), P_a3-{F}(V5), c-{F}(V6), c-{F}(V7), P_f-{F}(V8,V2,V6), P_f-{F}(V7,V8,V9), P_f-{F}(V0,V10,V9), P_f-{F}(V11,V1,V9), P_f-{F}(V12,V11,V0), P_f-{F}(V0,V12,V9), P_f-{F}(V13,V0,V9), P_f-{F}(V10,V13,V0) | c-{T}(V9)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #417: mergings( V3 == V11, V4 == V12, V5 == V13; #405 ), references = 1, size of lhs = 16:
% 1.20/1.39 c-{F}(V0), c-{F}(V1), d2-{F}(V2), P_a1-{F}(V3), P_a2-{F}(V4), P_a3-{F}(V5), c-{F}(V6), c-{F}(V7), P_f-{F}(V8,V2,V6), P_f-{F}(V7,V8,V9), P_f-{F}(V0,V10,V9), P_f-{F}(V11,V1,V9), P_f-{F}(V12,V11,V0), P_f-{F}(V0,V12,V9), P_f-{F}(V13,V0,V9), P_f-{F}(V10,V13,V0) | c-{T}(V9)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #437: mergings( V5 == V11, V6 == V12, V7 == V13; #431 ), references = 1, size of lhs = 19:
% 1.20/1.39 c-{F}(V0), d1-{F}(V1), d1-{F}(V2), c-{F}(V3), c-{F}(V4), d1-{F}(V5), P_a1-{F}(V6), P_a2-{F}(V7), P_a3-{F}(V8), c-{F}(V9), P_f-{F}(V10,V9,V5), P_f-{F}(V0,V10,V4), P_f-{F}(V11,V4,V5), P_f-{F}(V0,V11,V4), P_f-{F}(V3,V12,V4), P_f-{F}(V12,V0,V13), P_f-{F}(V13,V14,V2), P_f-{F}(V15,V0,V1), P_f-{F}(V14,V15,V4) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #441: mergings( V5 == V11, V6 == V12, V7 == V13; #432 ), references = 1, size of lhs = 19:
% 1.20/1.39 c-{F}(V0), d1-{F}(V1), d1-{F}(V2), c-{F}(V3), c-{F}(V4), d1-{F}(V5), P_a1-{F}(V6), P_a2-{F}(V7), P_a3-{F}(V8), c-{F}(V9), P_f-{F}(V10,V9,V5), P_f-{F}(V0,V10,V4), P_f-{F}(V11,V4,V5), P_f-{F}(V0,V11,V4), P_f-{F}(V3,V12,V4), P_f-{F}(V12,V0,V13), P_f-{F}(V13,V14,V2), P_f-{F}(V15,V0,V1), P_f-{F}(V14,V15,V4) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #445: mergings( V5 == V11, V6 == V12, V7 == V13; #433 ), references = 1, size of lhs = 19:
% 1.20/1.39 c-{F}(V0), d1-{F}(V1), d1-{F}(V2), c-{F}(V3), c-{F}(V4), d1-{F}(V5), P_a1-{F}(V6), P_a2-{F}(V7), P_a3-{F}(V8), c-{F}(V9), P_f-{F}(V10,V9,V5), P_f-{F}(V0,V10,V4), P_f-{F}(V11,V4,V5), P_f-{F}(V0,V11,V4), P_f-{F}(V3,V12,V4), P_f-{F}(V12,V0,V13), P_f-{F}(V13,V14,V2), P_f-{F}(V15,V0,V1), P_f-{F}(V14,V15,V4) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #518: mergings( V1 == V9, V2 == V10, V3 == V11; #506 ), references = 1, size of lhs = 19:
% 1.20/1.39 c-{F}(V0), c-{F}(V1), P_f-{F}(V1,V0,V2), c-{F}(V3), c-{F}(V4), c-{F}(V5), P_a1-{F}(V6), P_a2-{F}(V7), P_a3-{F}(V8), c-{F}(V9), P_f-{F}(V10,V9,V2), P_f-{F}(V3,V10,V5), P_f-{F}(V11,V5,V2), P_f-{F}(V3,V11,V5), P_f-{F}(V4,V12,V5), P_f-{F}(V12,V3,V13), P_f-{F}(V13,V14,V2), P_f-{F}(V15,V3,V2), P_f-{F}(V14,V15,V5) | d2-{T}(V2)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #522: mergings( V1 == V9, V2 == V10, V3 == V11; #507 ), references = 1, size of lhs = 19:
% 1.20/1.39 c-{F}(V0), c-{F}(V1), P_f-{F}(V1,V0,V2), c-{F}(V3), c-{F}(V4), c-{F}(V5), P_a1-{F}(V6), P_a2-{F}(V7), P_a3-{F}(V8), c-{F}(V9), P_f-{F}(V10,V9,V2), P_f-{F}(V3,V10,V5), P_f-{F}(V11,V5,V2), P_f-{F}(V3,V11,V5), P_f-{F}(V4,V12,V5), P_f-{F}(V12,V3,V13), P_f-{F}(V13,V14,V2), P_f-{F}(V15,V3,V2), P_f-{F}(V14,V15,V5) | d2-{T}(V2)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #526: mergings( V1 == V9, V2 == V10, V3 == V11; #508 ), references = 1, size of lhs = 19:
% 1.20/1.39 c-{F}(V0), c-{F}(V1), P_f-{F}(V1,V0,V2), c-{F}(V3), c-{F}(V4), c-{F}(V5), P_a1-{F}(V6), P_a2-{F}(V7), P_a3-{F}(V8), c-{F}(V9), P_f-{F}(V10,V9,V2), P_f-{F}(V3,V10,V5), P_f-{F}(V11,V5,V2), P_f-{F}(V3,V11,V5), P_f-{F}(V4,V12,V5), P_f-{F}(V12,V3,V13), P_f-{F}(V13,V14,V2), P_f-{F}(V15,V3,V2), P_f-{F}(V14,V15,V5) | d2-{T}(V2)
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #537: mergings( V3 == V7, V7 == V16, V4 == V8, V8 == V17, V5 == V9, V9 == V18; #530 ), references = 1, size of lhs = 19:
% 1.20/1.39 c-{F}(V0), c-{F}(V1), c-{F}(V2), c-{F}(V3), P_f-{F}(V1,V4,V3), P_f-{F}(V2,V5,V3), P_f-{F}(V5,V1,V6), c-{F}(V6), P_f-{F}(V7,V0,V3), d2-{F}(V8), P_a1-{F}(V9), P_a2-{F}(V10), P_a3-{F}(V11), c-{F}(V12), P_f-{F}(V7,V8,V12), P_f-{F}(V13,V7,V1), P_f-{F}(V0,V13,V6), P_f-{F}(V14,V1,V3), P_f-{F}(V4,V14,V0) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #553: mergings( V3 == V7, V7 == V11, V11 == V14, V14 == V18, V4 == V8, V8 == V12, V12 == V15, V15 == V19, V5 == V9, V9 == V13, V13 == V16, V16 == V20; #540 ), references = 2, size of lhs = 13:
% 1.20/1.39 d2-{F}(V0), c-{F}(V1), P_f-{F}(V2,V0,V1), c-{F}(V3), P_f-{F}(V2,V2,V3), d2-{F}(V4), P_a1-{F}(V5), P_a2-{F}(V6), P_a3-{F}(V7), c-{F}(V8), P_f-{F}(V2,V4,V8), P_f-{F}(V9,V2,V3), P_f-{F}(V2,V9,V3) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #561: mergings( V2 == V5, V3 == V6, V4 == V7; #557 ), references = 2, size of lhs = 4:
% 1.20/1.39 d2-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #567: mergings( V1 == V3, V2 == V4; #564 ), references = 1, size of lhs = 2:
% 1.20/1.39 P_a1-{F}(V0), P_a2-{F}(V1) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #570: mergings( V1 == V2; #568 ), references = 1, size of lhs = 1:
% 1.20/1.39 P_a1-{F}(V0) | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 #572: exists( #12, #568 ), references = 1, size of lhs = 0:
% 1.20/1.39 FALSE | FALSE
% 1.20/1.39 (used 0 times, uses = {})
% 1.20/1.39
% 1.20/1.39 number of learnt formulas = 44
% 1.20/1.39
% 1.20/1.39
% 1.20/1.39 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.20/1.39
% 1.20/1.39 randbase = 1
%------------------------------------------------------------------------------