TSTP Solution File: NUM838+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:13:21 EDT 2022
% Result : Theorem 2.54s 2.71s
% Output : Refutation 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 : Sat Jul 23 00:01:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.54/2.71 GeoParameters:
% 2.54/2.71
% 2.54/2.71 tptp_input = 1
% 2.54/2.71 tptp_output = 0
% 2.54/2.71 nonempty = 1
% 2.54/2.71 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.54/2.71 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.54/2.71
% 2.54/2.71
% 2.54/2.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.54/2.71 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.54/2.71
% 2.54/2.71 RuleSystem INPUT:
% 2.54/2.71
% 2.54/2.71 Initial Rules:
% 2.54/2.71 #0: input, references = 7, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V2,V4) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #1: input, references = 9, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4) | greater-{T}(V0,V3)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #2: input, references = 6, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V5,V6), P_vplus-{F}(V5,V7,V8), P_vplus-{F}(V6,V7,V9) | less-{T}(V8,V9)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #3: input, references = 4, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V5,V6), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V5,V7,V9) | greater-{T}(V8,V9)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #4: input, references = 6, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V5,V6) | greater-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #5: input, references = 3, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V6,V7,V9), V8 == V9 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #6: input, references = 3, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V5,V6), P_vplus-{F}(V5,V7,V8), P_vplus-{F}(V6,V7,V9) | greater-{T}(V8,V9)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #7: input, references = 3, size of lhs = 11:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vskolem7-{F}(V5,V6,V7), greater-{F}(V5,V6), P_vplus-{F}(V6,V8,V9), P_vplus-{F}(V7,V9,V10), P_vplus-{F}(V9,V7,V11), V10 == V11 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #8: input, references = 3, size of lhs = 12:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vskolem7-{F}(V5,V6,V7), P_vplus-{F}(V7,V6,V8), greater-{F}(V5,V6), P_vplus-{F}(V8,V9,V10), P_vplus-{F}(V6,V9,V11), P_vplus-{F}(V7,V11,V12), V10 == V12 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #9: input, references = 3, size of lhs = 12:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vskolem7-{F}(V5,V6,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V7,V6,V9), greater-{F}(V5,V6), P_vplus-{F}(V8,V10,V11), P_vplus-{F}(V9,V10,V12), V11 == V12 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #10: input, references = 3, size of lhs = 11:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vskolem7-{F}(V5,V6,V7), P_vplus-{F}(V6,V7,V8), greater-{F}(V5,V6), P_vplus-{F}(V5,V9,V10), P_vplus-{F}(V8,V9,V11), V10 == V11 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #11: input, references = 4, size of lhs = 9:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vskolem7-{F}(V5,V6,V7), P_vplus-{F}(V6,V7,V8), greater-{F}(V5,V6), V5 == V8 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #12: input, references = 4, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V5,V6,V7) | greater-{T}(V7,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #13: input, references = 3, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), leq-{F}(V5,V6), leq-{F}(V7,V5) | leq-{T}(V7,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #14: input, references = 3, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V7,V6), leq-{F}(V5,V7) | less-{T}(V5,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #15: input, references = 3, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), leq-{F}(V7,V6), less-{F}(V5,V7) | less-{T}(V5,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #16: input, references = 3, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V5,V6), less-{F}(V7,V5) | less-{T}(V7,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #17: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), leq-{F}(V5,V6) | geq-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #18: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), geq-{F}(V5,V6) | leq-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #19: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), leq-{F}(V6,V5) | pppp0-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #20: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp0-{F}(V6,V5) | leq-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #21: input, references = 3, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp0-{F}(V5,V6), V5 == V6 | less-{T}(V5,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #22: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V5,V6) | pppp0-{T}(V5,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #23: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), #-{F} V6 | pppp0-{T}(V6,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #24: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), geq-{F}(V6,V5) | pppp1-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #25: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp1-{F}(V6,V5) | geq-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #26: input, references = 3, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp1-{F}(V5,V6), V5 == V6 | greater-{T}(V5,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #27: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V5,V6) | pppp1-{T}(V5,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #28: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), #-{F} V6 | pppp1-{T}(V6,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #29: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V5,V6) | greater-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #30: input, references = 7, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V5,V6) | less-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #31: input, references = 3, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), #-{F} V5, #-{F} V6, V5 == V6 | greater-{T}(V5,V6), less-{T}(V5,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #32: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V6,V6) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #33: input, references = 3, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V5,V6), less-{F}(V5,V6) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #34: input, references = 5, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V6,V6) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #35: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), less-{F}(V6,V5) | pppp2-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #36: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp2-{F}(V6,V5) | less-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #37: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp2-{F}(V5,V6) | EXISTS V7: pppp4-{T}(V5,V6,V7)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #38: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V5,V7,V8) | pppp2-{T}(V5,V8)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #39: input, references = 3, size of lhs = 3:
% 2.54/2.71 pppp4-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #40: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), greater-{F}(V6,V5) | pppp3-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #41: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp3-{F}(V6,V5) | greater-{T}(V6,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #42: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), pppp3-{F}(V5,V6) | EXISTS V7: pppp5-{T}(V5,V6,V7)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #43: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V6,V7,V8) | pppp3-{T}(V8,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #44: input, references = 3, size of lhs = 3:
% 2.54/2.71 pppp5-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #45: input, references = 3, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), #-{F} V5, #-{F} V6, V5 == V6 | pppp8-{T}(V5,V6), pppp9-{T}(V5,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #46: input, references = 3, size of lhs = 1:
% 2.54/2.71 pppp8-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #47: input, references = 3, size of lhs = 1:
% 2.54/2.71 pppp9-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #48: input, references = 3, size of lhs = 3:
% 2.54/2.71 pppp7-{F}(V0,V1,V2), P_vplus-{F}(V0,V2,V3), V1 == V3 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #49: input, references = 3, size of lhs = 3:
% 2.54/2.71 pppp6-{F}(V0,V1,V2), P_vplus-{F}(V1,V2,V3), V0 == V3 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #50: input, references = 4, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V8,V7,V8) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #51: input, references = 4, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V10,V7,V8), P_vplus-{F}(V8,V9,V10) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #52: input, references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V8,V7,V8) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #53: input, references = 4, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V7,V5,V9), P_vplus-{F}(V7,V6,V9), V5 == V6 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #54: input, references = 5, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V5,V7,V7) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #55: input, references = 4, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vplus-{F}(V6,V5,V7), P_vplus-{F}(V5,V6,V8), V7 == V8 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #56: input, references = 4, size of lhs = 10:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_vsucc-{F}(V5,V7), P_vplus-{F}(V7,V6,V8), P_vplus-{F}(V5,V6,V9), P_vsucc-{F}(V9,V10), V8 == V10 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #57: input, references = 5, size of lhs = 9:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vplus-{F}(V5,V6,V7), P_vsucc-{F}(V6,V8), V7 == V8 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #58: input, references = 5, size of lhs = 11:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V7,V9), P_vplus-{F}(V9,V8,V10), P_vplus-{F}(V7,V8,V11), P_vplus-{F}(V6,V11,V12), V10 == V12 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #59: input, references = 5, size of lhs = 9:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V5,V7), P_vsucc-{F}(V6,V8), V7 == V8 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #60: input, references = 4, size of lhs = 13:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vplus-{F}(V6,V5,V7), P_vsucc-{F}(V6,V8), P_vsucc-{F}(V9,V10), P_vplus-{F}(V6,V10,V11), P_vplus-{F}(V6,V9,V12), P_vsucc-{F}(V12,V13), V11 == V13 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #61: input, references = 5, size of lhs = 10:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vskolem2-{F}(V6,V7), P_vsucc-{F}(V7,V8), V6 == V5, V6 == V8 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #62: input, references = 5, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vsucc-{F}(V6,V6) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #63: input, references = 5, size of lhs = 9:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vsucc-{F}(V6,V9), P_vsucc-{F}(V7,V9), V6 == V7 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #64: input, references = 4, size of lhs = 9:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vsucc-{F}(V6,V9), P_vsucc-{F}(V7,V9), V6 == V7 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #65: input, references = 5, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V1,V4), P_v1-{F}(V5), P_vsucc-{F}(V6,V5) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #66: input, references = 32, size of lhs = 2:
% 2.54/2.71 #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #67: input, references = 4, size of lhs = 0:
% 2.54/2.71 FALSE | EXISTS V0: P_vd301-{T}(V0)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #68: input, references = 4, size of lhs = 0:
% 2.54/2.71 FALSE | EXISTS V0: P_vd303-{T}(V0)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #69: input, references = 5, size of lhs = 0:
% 2.54/2.71 FALSE | EXISTS V0: P_vd302-{T}(V0)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #70: input, references = 3, size of lhs = 2:
% 2.54/2.71 #-{F} V0, #-{F} V1 | EXISTS V2: P_vskolem7-{T}(V0,V1,V2)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #71: input, references = 19, size of lhs = 1:
% 2.54/2.71 #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #72: input, references = 5, size of lhs = 0:
% 2.54/2.71 FALSE | EXISTS V0: P_v1-{T}(V0)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #73: input, references = 9, size of lhs = 1:
% 2.54/2.71 #-{F} V0 | EXISTS V1: P_vskolem2-{T}(V0,V1)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 number of initial rules = 74
% 2.54/2.71
% 2.54/2.71 Simplifiers:
% 2.54/2.71 #74: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #75: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 P_vd301-{F}(V0), P_vd301-{F}(V1), V0 == V1 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #76: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 P_vd303-{F}(V0), P_vd303-{F}(V1), V0 == V1 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #77: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 P_vd302-{F}(V0), P_vd302-{F}(V1), V0 == V1 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #78: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 P_vskolem7-{F}(V0,V1,V2), P_vskolem7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #79: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #80: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #81: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 P_vskolem2-{F}(V0,V1), P_vskolem2-{F}(V0,V3), V1 == V3 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #82: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #83: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #84: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #85: unsound, references = 3, size of lhs = 3:
% 2.54/2.71 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 number of simplifiers = 12
% 2.54/2.71
% 2.54/2.71 Learnt:
% 2.54/2.71 #89: exists( #66, #50 ), references = 1, size of lhs = 4:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V2,V3,V2) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #90: exists( #66, #54 ), references = 1, size of lhs = 4:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V2,V3,V3) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #94: exists( #66, #62 ), references = 1, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_v1-{F}(V2), P_vsucc-{F}(V3,V3) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #95: exists( #66, #63 ), references = 2, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_v1-{F}(V2), P_vsucc-{F}(V3,V4), P_vsucc-{F}(V5,V4), V3 == V5 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #99: exists( #66, #61 ), references = 2, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_v1-{F}(V2), P_vskolem2-{F}(V3,V4), V3 == V2, P_vsucc-{F}(V4,V5), V3 == V5 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #100: exists( #66, #57 ), references = 2, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_v1-{F}(V0), P_vd303-{F}(V1), P_vsucc-{F}(V1,V2) | P_vplus-{T}(V0,V1,V2)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #101: exists( #66, #59 ), references = 1, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_v1-{F}(V1), P_vsucc-{F}(V0,V2) | P_vplus-{T}(V0,V1,V2)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #105: exists( #71, #103 ), references = 1, size of lhs = 4:
% 2.54/2.71 P_v1-{F}(V0), P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #107: exists( #66, #65 ), references = 1, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_v1-{F}(V2), P_vsucc-{F}(V3,V2) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #109: exists( #71, #99 ), references = 2, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_v1-{F}(V2), P_vskolem2-{F}(V3,V4), V3 == V2 | P_vsucc-{T}(V4,V3)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #115: mergings( V2 == V5, V3 == V6, V4 == V7; #111 ), references = 1, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1), P_v1-{F}(V2), P_vsucc-{F}(V3,V4), V4 == V2 | P_vskolem2-{T}(V4,V3)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #118: exists( #66, #116 ), references = 1, size of lhs = 3:
% 2.54/2.71 P_vd301-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V1) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #122: exists( #66, #65 ), references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V4) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #123: exists( #66, #51 ), references = 2, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V6,V7,V4) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #124: exists( #66, #54 ), references = 2, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V4,V5,V5) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #127: exists( #66, #119 ), references = 3, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V3) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #128: exists( #66, #120 ), references = 1, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V5,V6,V3) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #131: exists( #66, #62 ), references = 1, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V5) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #132: exists( #66, #56 ), references = 3, size of lhs = 9:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vsucc-{F}(V4,V5), P_vplus-{F}(V5,V6,V7), P_vplus-{F}(V4,V6,V8), P_vsucc-{F}(V8,V9), V7 == V9 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #135: exists( #66, #129 ), references = 1, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V4) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #137: exists( #71, #132 ), references = 7, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vsucc-{F}(V4,V5), P_vplus-{F}(V5,V6,V7), P_vplus-{F}(V4,V6,V8) | P_vsucc-{T}(V8,V7)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #145: mergings( V3 == V7, V4 == V8, V6 == V9; #140 ), references = 1, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6), P_vplus-{F}(V6,V7,V4) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #149: mergings( V3 == V4; #147 ), references = 1, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5), P_vplus-{F}(V5,V6,V3) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #153: exists( #66, #61 ), references = 1, size of lhs = 9:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vskolem2-{F}(V5,V6), V5 == V4, P_vsucc-{F}(V6,V7), V5 == V7 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #154: exists( #66, #63 ), references = 2, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6), P_vsucc-{F}(V7,V6), V5 == V7 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #155: exists( #66, #64 ), references = 2, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6), P_vsucc-{F}(V7,V6), V5 == V7 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #159: exists( #66, #150 ), references = 2, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vskolem2-{F}(V4,V5), V4 == V3, P_vsucc-{F}(V5,V6), V4 == V6 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #160: exists( #66, #151 ), references = 3, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5), P_vsucc-{F}(V6,V5), V4 == V6 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #163: exists( #71, #159 ), references = 7, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vskolem2-{F}(V4,V5), V4 == V3 | P_vsucc-{T}(V5,V4)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #174: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9; #167 ), references = 1, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5), V5 == V3 | P_vskolem2-{T}(V5,V4)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #176: exists( #66, #132 ), references = 10, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vsucc-{F}(V4,V5), P_vplus-{F}(V4,V6,V7), P_vsucc-{F}(V7,V8) | P_vplus-{T}(V5,V6,V8)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #184: mergings( V3 == V4; #180 ), references = 1, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vsucc-{F}(V3,V4), P_vplus-{F}(V3,V5,V6), P_vsucc-{F}(V6,V5) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #186: mergings( V3 == V4; #182 ), references = 3, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vsucc-{F}(V3,V4), P_vplus-{F}(V3,V5,V6), P_vsucc-{F}(V6,V7), P_vplus-{F}(V7,V8,V4) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #211: mergings( V2 == V6, V6 == V10, V10 == V14, V3 == V7, V4 == V8, V7 == V11, V8 == V12, V11 == V15, V5 == V9, V9 == V13, V13 == V16; #199 ), references = 2, size of lhs = 10:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vsucc-{F}(V4,V5), P_vsucc-{F}(V5,V6), P_vplus-{F}(V4,V7,V8), P_vplus-{F}(V6,V7,V8), P_vsucc-{F}(V9,V8), P_vplus-{F}(V9,V10,V8) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #228: mergings( V2 == V6, V6 == V10, V3 == V7, V4 == V8, V7 == V11, V5 == V9, V9 == V12; #218 ), references = 1, size of lhs = 10:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6), P_vsucc-{F}(V6,V7), P_vplus-{F}(V5,V8,V9), P_vplus-{F}(V7,V8,V10), P_vsucc-{F}(V11,V10) | P_vsucc-{T}(V9,V11)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #237: mergings( V2 == V6, V6 == V10, V3 == V7, V4 == V8, V7 == V11, V8 == V12, V5 == V9, V9 == V13; #219 ), references = 1, size of lhs = 10:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6), P_vsucc-{F}(V6,V7), P_vplus-{F}(V5,V8,V9), P_vplus-{F}(V7,V8,V10), P_vsucc-{F}(V11,V10) | P_vsucc-{T}(V9,V11)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #246: mergings( V2 == V6, V6 == V10, V3 == V7, V4 == V8, V7 == V11, V8 == V12, V5 == V9, V9 == V13; #220 ), references = 1, size of lhs = 10:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6), P_vsucc-{F}(V6,V7), P_vplus-{F}(V5,V8,V9), P_vplus-{F}(V7,V8,V10), P_vsucc-{F}(V11,V10) | P_vsucc-{T}(V9,V11)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #259: mergings( V5 == V0, V6 == V1, V3 == V4, V4 == V7, V7 == V9, V8 == V10; #251 ), references = 1, size of lhs = 9:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V3,V4), P_vsucc-{F}(V5,V6), P_vsucc-{F}(V6,V7), P_vplus-{F}(V7,V8,V4), P_vplus-{F}(V5,V8,V9) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #268: mergings( V0 == V5, V5 == V9, V1 == V6, V6 == V10, V3 == V4, V4 == V7, V7 == V11, V8 == V12; #250 ), references = 1, size of lhs = 9:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V3,V4), P_vsucc-{F}(V5,V6), P_vsucc-{F}(V6,V7), P_vplus-{F}(V7,V8,V4), P_vplus-{F}(V5,V8,V9) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #272: exists( #66, #57 ), references = 2, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vplus-{F}(V4,V5,V6), P_vsucc-{F}(V5,V7), V6 == V7 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #273: exists( #66, #59 ), references = 3, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vplus-{F}(V5,V4,V6), P_vsucc-{F}(V5,V7), V6 == V7 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #274: exists( #66, #53 ), references = 2, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V4,V7,V6), V5 == V7 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #278: exists( #66, #269 ), references = 3, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_v1-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vsucc-{F}(V1,V3) | P_vplus-{T}(V0,V1,V3)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #279: exists( #66, #270 ), references = 3, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_v1-{F}(V1), P_vd302-{F}(V2), P_vsucc-{F}(V0,V3) | P_vplus-{T}(V0,V1,V3)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #280: exists( #66, #271 ), references = 1, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V3,V6,V5), V4 == V6 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #282: exists( #66, #273 ), references = 3, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vsucc-{F}(V5,V6) | P_vplus-{T}(V5,V4,V6)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #293: mergings( V3 == V4, V4 == V6, V8 == V9, V2 == V5; #287 ), references = 1, size of lhs = 6:
% 2.54/2.71 P_vd301-{F}(V0), P_v1-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vsucc-{F}(V3,V4), P_vsucc-{F}(V4,V3) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #308: mergings( V3 == V4, V4 == V6, V2 == V5; #303 ), references = 1, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_v1-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vsucc-{F}(V3,V4), P_vplus-{F}(V3,V5,V4), V5 == V0 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #323: mergings( V3 == V4, V4 == V5, V2 == V0; #319 ), references = 2, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_v1-{F}(V0), P_vd303-{F}(V0), P_vd302-{F}(V1), P_vsucc-{F}(V1,V2) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #326: exists( #71, #323 ), references = 2, size of lhs = 4:
% 2.54/2.71 P_vd301-{F}(V0), P_v1-{F}(V0), P_vd303-{F}(V0), P_vd302-{F}(V1) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #329: exists( #66, #272 ), references = 1, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V3,V4,V5), P_vsucc-{F}(V4,V6), V5 == V6 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #330: exists( #66, #273 ), references = 1, size of lhs = 7:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vplus-{F}(V4,V3,V5), P_vsucc-{F}(V4,V6), V5 == V6 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #333: exists( #66, #327 ), references = 9, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5) | P_vplus-{T}(V3,V4,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #334: exists( #66, #328 ), references = 4, size of lhs = 5:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_v1-{F}(V3), P_vsucc-{F}(V4,V5) | P_vplus-{T}(V4,V3,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #358: mergings( V17 == V21, V3 == V7, V7 == V11, V11 == V12, V18 == V21, V12 == V13, V19 == V21, V13 == V14, V20 == V21, V14 == V15, V4 == V8, V5 == V9, V8 == V16, V9 == V21, V6 == V10, V10 == V22; #341 ), references = 3, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_vsucc-{F}(V4,V3), P_vplus-{F}(V4,V1,V5), P_vsucc-{F}(V6,V7), P_vplus-{F}(V6,V8,V5) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #364: mergings( V3 == V4, V4 == V5, V5 == V6; #360 ), references = 2, size of lhs = 9:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vsucc-{F}(V3,V2), P_vplus-{F}(V3,V1,V4), P_vsucc-{F}(V5,V4), P_vsucc-{F}(V6,V7), P_vplus-{F}(V6,V8,V5), P_vsucc-{F}(V7,V9) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #378: mergings( V2 == V6, V6 == V10, V3 == V7, V7 == V11, V4 == V8, V8 == V12, V14 == V15, V5 == V9; #369 ), references = 2, size of lhs = 8:
% 2.54/2.71 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vd302-{F}(V3), P_vsucc-{F}(V4,V3), P_vplus-{F}(V4,V2,V5), P_vsucc-{F}(V6,V5), V6 == V0 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #392: mergings( V2 == V6, V6 == V10, V10 == V14, V3 == V7, V7 == V11, V11 == V0, V4 == V8, V8 == V12, V12 == V15, V5 == V9, V9 == V13; #380 ), references = 1, size of lhs = 6:
% 2.54/2.71 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), V2 == V0, P_vd302-{F}(V3), P_vsucc-{F}(V0,V3) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #395: mergings( V3 == V4; #393 ), references = 1, size of lhs = 4:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2), P_vsucc-{F}(V0,V2) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #406: mergings( V2 == V6, V6 == V10, V3 == V7, V7 == V11, V4 == V8, V8 == V12, V5 == V9; #398 ), references = 1, size of lhs = 8:
% 2.54/2.71 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vd302-{F}(V3), P_vsucc-{F}(V0,V4), P_vsucc-{F}(V5,V6), V5 == V0, P_vplus-{F}(V6,V7,V4) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #410: exists( #66, #58 ), references = 2, size of lhs = 8:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vplus-{F}(V0,V1,V2), P_vd302-{F}(V3), P_v1-{F}(V4), P_vplus-{F}(V3,V5,V6), P_vplus-{F}(V5,V7,V1), P_vplus-{F}(V6,V7,V8) | P_vplus-{T}(V3,V1,V8)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #421: mergings( V3 == V5, V8 == V9, V5 == V6, V9 == V10; #415 ), references = 1, size of lhs = 11:
% 2.54/2.71 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vd302-{F}(V4), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V5,V7,V2), P_vplus-{F}(V8,V9,V10), P_vskolem7-{F}(V10,V8,V11), P_vplus-{F}(V8,V11,V12), V10 == V12 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #441: mergings( V12 == V16, V3 == V5, V11 == V16, V5 == V6, V13 == V16, V6 == V7, V14 == V16, V7 == V8, V15 == V16, V8 == V9; #430 ), references = 1, size of lhs = 7:
% 2.54/2.71 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vd302-{F}(V4), P_vplus-{F}(V4,V5,V6), P_vplus-{F}(V5,V7,V2) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #443: exists( #66, #430 ), references = 2, size of lhs = 6:
% 2.54/2.71 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vd302-{F}(V3), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V4,V6,V2) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #457: mergings( V2 == V7, V3 == V8, V4 == V0, V5 == V6; #451 ), references = 1, size of lhs = 5:
% 2.54/2.71 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), P_vd302-{F}(V3), P_vplus-{F}(V0,V4,V2) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #472: mergings( V2 == V6, V6 == V9, V9 == V14, V3 == V7, V7 == V10, V10 == V0, V4 == V8, V8 == V11, V11 == V15, V5 == V12, V12 == V13; #460 ), references = 2, size of lhs = 5:
% 2.54/2.71 P_v1-{F}(V0), P_vd301-{F}(V1), P_vd303-{F}(V2), V2 == V0, P_vd302-{F}(V3) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #483: mergings( V1 == V4, V4 == V7, V7 == V10, V2 == V5, V5 == V8, V8 == V11, V3 == V6, V6 == V9, V9 == V12; #473 ), references = 2, size of lhs = 3:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V1), P_vd302-{F}(V2) | P_v1-{T}(V1)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #493: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V2 == V4, V4 == V6, V6 == V8; #485 ), references = 1, size of lhs = 2:
% 2.54/2.71 P_vd301-{F}(V0), P_vd303-{F}(V0) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #508: mergings( V2 == V6, V6 == V11, V3 == V7, V7 == V9, V4 == V8, V8 == V0, V5 == V9, V9 == V10; #499 ), references = 1, size of lhs = 5:
% 2.54/2.71 P_vd303-{F}(V0), P_v1-{F}(V0), P_vd301-{F}(V1), P_vd302-{F}(V2), V2 == V0 | P_vskolem2-{T}(V2,V0)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #513: mergings( V3 == V4, V6 == V4; #510 ), references = 1, size of lhs = 8:
% 2.54/2.71 P_v1-{F}(V0), P_vd303-{F}(V0), P_vd301-{F}(V1), P_vd302-{F}(V2), P_vsucc-{F}(V3,V2), P_vplus-{F}(V3,V0,V2), P_vsucc-{F}(V4,V5), P_vplus-{F}(V4,V6,V2) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #529: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V3 == V5, V5 == V8, V8 == V10, V10 == V11; #518 ), references = 1, size of lhs = 2:
% 2.54/2.71 P_vd303-{F}(V0), P_vd301-{F}(V1) | P_vd302-{T}(V0)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #546: mergings( V2 == V6, V3 == V0, V4 == V5, V0 == V5; #539 ), references = 1, size of lhs = 8:
% 2.54/2.71 P_v1-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V0), P_vd301-{F}(V1), P_vplus-{F}(V1,V0,V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V4,V3,V6), V5 == V6 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #552: mergings( V2 == V6, V3 == V0, V4 == V5, V5 == V8, V0 == V8; #540 ), references = 1, size of lhs = 10:
% 2.54/2.71 P_vd302-{F}(V0), P_vd303-{F}(V0), P_v1-{F}(V0), P_vd301-{F}(V1), P_vplus-{F}(V1,V0,V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V5,V6,V7), P_vplus-{F}(V4,V6,V8), P_vplus-{F}(V3,V8,V9), V7 == V9 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #559: mergings( V2 == V6, V3 == V0, V4 == V5, V5 == V8, V10 == V11, V0 == V8; #541 ), references = 1, size of lhs = 12:
% 2.54/2.71 P_vd302-{F}(V0), P_vd303-{F}(V0), P_v1-{F}(V0), P_vd301-{F}(V1), P_vplus-{F}(V1,V0,V2), P_vplus-{F}(V3,V0,V4), P_vsucc-{F}(V3,V4), P_vsucc-{F}(V5,V6), P_vplus-{F}(V3,V6,V7), P_vplus-{F}(V3,V5,V8), P_vsucc-{F}(V8,V9), V7 == V9 | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #568: mergings( V3 == V7, V4 == V8, V5 == V6, V8 == V6; #561 ), references = 1, size of lhs = 6:
% 2.54/2.71 P_v1-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V0), P_vd301-{F}(V1), P_vplus-{F}(V1,V0,V2), P_vplus-{F}(V3,V4,V5) | P_vplus-{T}(V4,V3,V5)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #574: mergings( V3 == V7, V4 == V8, V5 == V6, V6 == V10, V8 == V10; #562 ), references = 1, size of lhs = 8:
% 2.54/2.71 P_vd302-{F}(V0), P_vd303-{F}(V0), P_v1-{F}(V0), P_vd301-{F}(V1), P_vplus-{F}(V1,V0,V2), P_vplus-{F}(V3,V4,V5), P_vplus-{F}(V4,V6,V7), P_vplus-{F}(V3,V7,V8) | P_vplus-{T}(V5,V6,V8)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #585: mergings( V3 == V7, V7 == V11, V4 == V8, V8 == V12, V5 == V13, V6 == V9, V9 == V10, V10 == V14, V18 == V19, V12 == V14; #563 ), references = 1, size of lhs = 12:
% 2.54/2.71 P_vd302-{F}(V0), P_vd303-{F}(V0), P_v1-{F}(V0), P_vd301-{F}(V1), P_vplus-{F}(V1,V0,V2), P_vsucc-{F}(V3,V4), P_vplus-{F}(V3,V5,V6), P_vplus-{F}(V7,V0,V8), P_vsucc-{F}(V7,V8), P_vplus-{F}(V7,V9,V6), P_vsucc-{F}(V9,V10), P_vplus-{F}(V7,V10,V11) | P_vplus-{T}(V4,V5,V11)
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #604: mergings( V11 == V15, V2 == V6, V6 == V7, V12 == V15, V7 == V8, V13 == V15, V8 == V9, V14 == V15, V9 == V10, V3 == V0, V4 == V5, V0 == V5; #591 ), references = 1, size of lhs = 5:
% 2.54/2.71 P_v1-{F}(V0), P_vd302-{F}(V0), P_vd303-{F}(V0), P_vd301-{F}(V1), P_vplus-{F}(V1,V0,V2) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #612: mergings( V4 == V0, V2 == V5, V3 == V6, V6 == V7, V5 == V7; #606 ), references = 1, size of lhs = 4:
% 2.54/2.71 P_vd303-{F}(V0), P_v1-{F}(V0), P_vd302-{F}(V0), P_vd301-{F}(V1) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #625: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #615 ), references = 1, size of lhs = 1:
% 2.54/2.71 P_vd301-{F}(V0) | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 #627: exists( #67, #615 ), references = 1, size of lhs = 0:
% 2.54/2.71 FALSE | FALSE
% 2.54/2.71 (used 0 times, uses = {})
% 2.54/2.71
% 2.54/2.71 number of learnt formulas = 81
% 2.54/2.71
% 2.54/2.71
% 2.54/2.71 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.54/2.71
% 2.54/2.71 randbase = 1
%------------------------------------------------------------------------------