TSTP Solution File: SWV491+4 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV491+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:21:46 EDT 2022
% Result : Theorem 28.22s 28.41s
% Output : Refutation 28.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV491+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 16:06:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 28.22/28.41 GeoParameters:
% 28.22/28.41
% 28.22/28.41 tptp_input = 1
% 28.22/28.41 tptp_output = 0
% 28.22/28.41 nonempty = 1
% 28.22/28.41 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.22/28.41 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 28.22/28.41
% 28.22/28.41
% 28.22/28.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.22/28.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.22/28.41
% 28.22/28.41 RuleSystem INPUT:
% 28.22/28.41
% 28.22/28.41 Initial Rules:
% 28.22/28.41 #0: input, references = 44, size of lhs = 1:
% 28.22/28.41 int_leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #1: input, references = 16, size of lhs = 1:
% 28.22/28.41 pppp0-{F}(V0,V1) | int_leq-{T}(V0,V1)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #2: input, references = 44, size of lhs = 2:
% 28.22/28.41 pppp0-{F}(V0,V1), V0 == V1 | int_less-{T}(V0,V1)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #3: input, references = 8, size of lhs = 1:
% 28.22/28.41 int_less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #4: input, references = 11, size of lhs = 1:
% 28.22/28.41 #-{F} V1 | pppp0-{T}(V1,V1)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #5: input, references = 29, size of lhs = 2:
% 28.22/28.41 int_less-{F}(V0,V1), int_less-{F}(V2,V0) | int_less-{T}(V2,V1)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #6: input, references = 12, size of lhs = 1:
% 28.22/28.41 int_less-{F}(V1,V1) | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #7: input, references = 11, size of lhs = 2:
% 28.22/28.41 #-{F} V0, #-{F} V1 | int_less-{T}(V0,V1), int_leq-{T}(V1,V0)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #8: input, references = 4, size of lhs = 2:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1) | int_less-{T}(V0,V1)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #9: input, references = 6, size of lhs = 5:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V3,V4), P_plus-{F}(V3,V2,V5), V4 == V5 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #10: input, references = 4, size of lhs = 4:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V0,V3), V3 == V2 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #11: input, references = 8, size of lhs = 6:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V3), P_plus-{F}(V5,V2,V6), P_plus-{F}(V4,V3,V7), int_less-{F}(V5,V4) | int_leq-{T}(V6,V7)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #12: input, references = 12, size of lhs = 3:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V3) | pppp1-{T}(V2,V3)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #13: input, references = 7, size of lhs = 3:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp1-{F}(V2,V3) | int_less-{T}(V2,V3)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #14: input, references = 11, size of lhs = 3:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp1-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4,V0)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #15: input, references = 7, size of lhs = 4:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V4,V3), int_less-{F}(V0,V4) | pppp1-{T}(V2,V3)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #16: input, references = 11, size of lhs = 2:
% 28.22/28.41 pppp2-{F}(V0,V1,V2,V3), P_plus-{F}(V0,V2,V4) | int_less-{T}(V3,V2)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #17: input, references = 13, size of lhs = 3:
% 28.22/28.41 pppp2-{F}(V0,V1,V2,V3), P_plus-{F}(V0,V2,V4), V4 == V1 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #18: input, references = 16, size of lhs = 3:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V0,V2) | int_leq-{T}(V1,V2)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #19: input, references = 17, size of lhs = 3:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2) | int_less-{T}(V0,V2)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #20: input, references = 4, size of lhs = 4:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V3), P_real_one-{F}(V3) | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #21: input, references = 15, size of lhs = 16:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V8), int_leq-{F}(V8,V4), P_plus-{F}(V5,V7,V8), int_less-{F}(V0,V7), P_plus-{F}(V9,V7,V10), P_a-{F}(V10,V9,V11), int_leq-{F}(V1,V9), int_leq-{F}(V9,V5), V11 == V2 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #22: input, references = 8, size of lhs = 13:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), P_a-{F}(V7,V7,V8), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5), V8 == V3 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #23: input, references = 15, size of lhs = 16:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V8), int_leq-{F}(V8,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), P_plus-{F}(V6,V7,V8), int_less-{F}(V0,V7), P_plus-{F}(V9,V7,V10), P_a-{F}(V9,V10,V11), int_leq-{F}(V1,V9), int_leq-{F}(V9,V6), V11 == V2 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #24: input, references = 8, size of lhs = 5:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4) | EXISTS V5: pppp5-{T}(V5,V1,V2,V3,V4)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #25: input, references = 7, size of lhs = 1:
% 28.22/28.41 pppp5-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp4-{T}(V0,V1,V2,V3,V4,V5)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #26: input, references = 18, size of lhs = 1:
% 28.22/28.41 pppp5-{F}(V0,V1,V2,V3,V4) | int_leq-{T}(V0,V4)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #27: input, references = 17, size of lhs = 1:
% 28.22/28.41 pppp5-{F}(V0,V1,V2,V3,V4) | int_leq-{T}(V1,V0)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #28: input, references = 19, size of lhs = 2:
% 28.22/28.41 pppp4-{F}(V0,V1,V2,V3,V4,V5), P_a-{F}(V5,V0,V6) | pppp3-{T}(V5,V0,V1,V2,V3,V4,V6)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #29: input, references = 3, size of lhs = 1:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V4,V4,V5,V4) | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #30: input, references = 6, size of lhs = 2:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V3,V4,V5,V3), V0 == V1 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #31: input, references = 6, size of lhs = 1:
% 28.22/28.41 pppp3-{F}(V1,V1,V2,V3,V4,V5,V4) | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #32: input, references = 5, size of lhs = 1:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V3,V4,V5,V6) | int_leq-{T}(V0,V5)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #33: input, references = 11, size of lhs = 1:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V3,V4,V5,V6) | int_leq-{T}(V2,V0)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #34: input, references = 4, size of lhs = 0:
% 28.22/28.41 FALSE | EXISTS V0: P_int_zero-{T}(V0)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #35: input, references = 4, size of lhs = 0:
% 28.22/28.41 FALSE | EXISTS V0: P_int_one-{T}(V0)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #36: input, references = 7, size of lhs = 2:
% 28.22/28.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_plus-{T}(V0,V1,V2)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #37: input, references = 4, size of lhs = 0:
% 28.22/28.41 FALSE | EXISTS V0: P_real_zero-{T}(V0)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #38: input, references = 4, size of lhs = 0:
% 28.22/28.41 FALSE | EXISTS V0: P_real_one-{T}(V0)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #39: input, references = 4, size of lhs = 0:
% 28.22/28.41 FALSE | EXISTS V0: P_n-{T}(V0)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #40: input, references = 18, size of lhs = 2:
% 28.22/28.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_a-{T}(V0,V1,V2)
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 number of initial rules = 41
% 28.22/28.41
% 28.22/28.41 Simplifiers:
% 28.22/28.41 #41: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 P_int_zero-{F}(V0), P_int_zero-{F}(V1), V0 == V1 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #42: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 P_int_one-{F}(V0), P_int_one-{F}(V1), V0 == V1 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #43: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 P_plus-{F}(V0,V1,V2), P_plus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #44: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 P_real_zero-{F}(V0), P_real_zero-{F}(V1), V0 == V1 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #45: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 P_real_one-{F}(V0), P_real_one-{F}(V1), V0 == V1 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #46: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #47: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 P_a-{F}(V0,V1,V2), P_a-{F}(V0,V1,V5), V2 == V5 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #48: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #49: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #50: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V3,V4,V5,V6), pppp3-{F}(V7,V1,V2,V3,V4,V5,V13), V0 == V7 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #51: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V3,V4,V5,V6), pppp3-{F}(V7,V8,V2,V3,V4,V5,V13), V1 == V8 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #52: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V3,V4,V5,V6), pppp3-{F}(V7,V8,V9,V10,V11,V12,V13), V2 == V9 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #53: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V3,V4,V5,V6), pppp3-{F}(V7,V8,V9,V10,V11,V12,V13), V3 == V10 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #54: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V3,V4,V5,V6), pppp3-{F}(V7,V8,V9,V10,V11,V12,V13), V4 == V11 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #55: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V3,V4,V5,V6), pppp3-{F}(V7,V8,V9,V10,V11,V12,V13), V5 == V12 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #56: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp3-{F}(V0,V1,V2,V3,V4,V5,V6), pppp3-{F}(V0,V1,V9,V10,V11,V12,V13), V6 == V13 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #57: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #58: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V6,V1,V2,V3,V4,V11), V0 == V6 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #59: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V6,V7,V8,V9,V10,V11), V1 == V7 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #60: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V6,V7,V8,V9,V10,V11), V2 == V8 | FALSE
% 28.22/28.41 (used 0 times, uses = {})
% 28.22/28.41
% 28.22/28.41 #61: unsound, references = 3, size of lhs = 3:
% 28.22/28.41 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #62: unsound, references = 3, size of lhs = 3:
% 28.22/28.42 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V6,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #63: unsound, references = 3, size of lhs = 3:
% 28.22/28.42 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #64: unsound, references = 3, size of lhs = 3:
% 28.22/28.42 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #65: unsound, references = 3, size of lhs = 3:
% 28.22/28.42 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #66: unsound, references = 3, size of lhs = 3:
% 28.22/28.42 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #67: unsound, references = 3, size of lhs = 3:
% 28.22/28.42 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 number of simplifiers = 27
% 28.22/28.42
% 28.22/28.42 Learnt:
% 28.22/28.42 #70: exists( #36, #10 ), references = 7, size of lhs = 3:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), #-{F} V2 | P_plus-{T}(V2,V0,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #85: exists( #36, #9 ), references = 10, size of lhs = 3:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V3,V4) | P_plus-{T}(V3,V2,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #148: mergings( V0 == V6, V2 == V7, V3 == V8, V4 == V9; #141 ), references = 1, size of lhs = 8:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_a-{F}(V4,V4,V5), V5 == V3 | pppp5-{T}(V1,V1,V2,V3,V4), pppp5-{T}(V4,V1,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #154: mergings( V0 == V6, V4 == V10, V2 == V7, V3 == V8, V10 == V9; #142 ), references = 1, size of lhs = 10:
% 28.22/28.42 P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V1,V1,V2,V3,V4), pppp5-{T}(V4,V1,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #160: mergings( V0 == V6, V4 == V10, V2 == V7, V3 == V8, V10 == V9; #143 ), references = 1, size of lhs = 10:
% 28.22/28.42 P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V1,V1,V2,V3,V4), pppp5-{T}(V4,V1,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #172: mergings( V0 == V4, V4 == V10, V1 == V6, V6 == V11, V2 == V7, V7 == V12, V3 == V8, V8 == V13, V9 == V14; #162 ), references = 1, size of lhs = 8:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_a-{F}(V4,V4,V5), V5 == V3 | pppp5-{T}(V4,V1,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #188: mergings( V2 == V5, V5 == V9, V9 == V13, V3 == V6, V6 == V10, V10 == V15, V4 == V7, V7 == V11, V11 == V16, V0 == V8, V8 == V12, V12 == V17; #175 ), references = 4, size of lhs = 6:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4) | P_a-{T}(V4,V4,V3)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #198: mergings( V0 == V6; #195 ), references = 1, size of lhs = 11:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V5,V5), V0 == V5, int_leq-{F}(V5,V4), P_plus-{F}(V5,V5,V5), P_a-{F}(V5,V5,V6), V6 == V2 | int_less-{T}(V5,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #200: mergings( V0 == V6; #196 ), references = 1, size of lhs = 11:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V5,V5), V0 == V5, int_leq-{F}(V5,V4), P_plus-{F}(V5,V5,V5), P_a-{F}(V5,V5,V6), V6 == V2 | int_less-{T}(V5,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #254: mergings( V0 == V6, V4 == V10, V2 == V7, V3 == V8, V10 == V9; #247 ), references = 1, size of lhs = 10:
% 28.22/28.42 P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V1,V1,V2,V3,V4), pppp5-{T}(V4,V1,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #260: mergings( V0 == V6, V4 == V10, V2 == V7, V3 == V8, V10 == V9; #248 ), references = 1, size of lhs = 10:
% 28.22/28.42 P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V1,V1,V2,V3,V4), pppp5-{T}(V4,V1,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #278: mergings( V0 == V4, V4 == V11, V3 == V9, V9 == V15, V1 == V6, V6 == V12, V2 == V7, V7 == V13, V15 == V8, V8 == V14, V10 == V16; #265 ), references = 1, size of lhs = 10:
% 28.22/28.42 P_int_one-{F}(V0), P_int_zero-{F}(V1), int_less-{F}(V1,V0), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V4,V0,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #290: mergings( V0 == V4, V4 == V11, V3 == V9, V9 == V15, V1 == V6, V6 == V12, V2 == V7, V7 == V13, V15 == V8, V8 == V14, V10 == V16; #266 ), references = 1, size of lhs = 10:
% 28.22/28.42 P_int_one-{F}(V0), P_int_zero-{F}(V1), int_less-{F}(V1,V0), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V4,V0,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #309: mergings( V1 == V4, V2 == V3, V3 == V5; #305 ), references = 1, size of lhs = 5:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V2,V1), V0 == V2, V1 == V2 | int_less-{T}(V2,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #332: exists( #40, #21 ), references = 1, size of lhs = 14:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V5,V7,V6), int_leq-{F}(V1,V8), int_leq-{F}(V8,V5), P_plus-{F}(V8,V7,V9) | P_a-{T}(V9,V8,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #340: mergings( V0 == V2, V2 == V6, V1 == V5, V5 == V7; #335 ), references = 1, size of lhs = 3:
% 28.22/28.42 P_int_zero-{F}(V0), pppp1-{F}(V0,V1), P_int_one-{F}(V2) | pppp2-{T}(V0,V1,V1,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #349: mergings( V1 == V3, V2 == V4; #346 ), references = 1, size of lhs = 4:
% 28.22/28.42 P_int_zero-{F}(V0), P_plus-{F}(V1,V1,V0), V0 == V1, P_int_one-{F}(V2) | int_less-{T}(V1,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #388: exists( #40, #23 ), references = 2, size of lhs = 14:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V6,V7,V5), int_leq-{F}(V1,V8), int_leq-{F}(V8,V6), P_plus-{F}(V8,V7,V9) | P_a-{T}(V8,V9,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #424: exists( #36, #17 ), references = 11, size of lhs = 1:
% 28.22/28.42 pppp2-{F}(V0,V1,V2,V3) | P_plus-{T}(V0,V2,V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #526: mergings( V0 == V6, V6 == V8, V8 == V10, V1 == V5, V5 == V7, V7 == V9, V9 == V11; #516 ), references = 1, size of lhs = 18:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V6,V7,V5), int_leq-{F}(V1,V8), P_plus-{F}(V8,V7,V9), P_a-{F}(V8,V9,V10), V10 == V2, P_plus-{F}(V1,V11,V8), int_leq-{F}(V11,V12), pppp1-{F}(V12,V6) | pppp2-{T}(V12,V6,V1,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #536: mergings( V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #528 ), references = 1, size of lhs = 18:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V6,V7,V5), int_leq-{F}(V1,V8), P_plus-{F}(V8,V7,V9), P_plus-{F}(V1,V10,V8), int_leq-{F}(V10,V11), pppp1-{F}(V11,V6), P_plus-{F}(V11,V1,V12), V12 == V6 | P_a-{T}(V8,V9,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #562: exists( #40, #557 ), references = 1, size of lhs = 13:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5), P_a-{F}(V7,V7,V8), V8 == V3, pppp4-{F}(V9,V10,V11,V12,V4,V5) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #628: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #623 ), references = 8, size of lhs = 8:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V3), int_leq-{F}(V3,V4), P_plus-{F}(V5,V2,V6), int_less-{F}(V5,V7), int_less-{F}(V7,V8), P_plus-{F}(V8,V4,V6) | P_plus-{T}(V3,V7,V6)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #682: mergings( V0 == V6, V6 == V8, V8 == V10, V1 == V5, V5 == V7, V7 == V9, V9 == V11; #674 ), references = 1, size of lhs = 18:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V5,V7,V6), int_leq-{F}(V1,V8), P_plus-{F}(V8,V7,V9), P_a-{F}(V9,V8,V10), V10 == V2, P_plus-{F}(V1,V11,V8), int_leq-{F}(V11,V12), pppp1-{F}(V12,V5) | pppp2-{T}(V12,V5,V1,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #692: mergings( V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #684 ), references = 1, size of lhs = 18:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V5,V7,V6), int_leq-{F}(V1,V8), P_plus-{F}(V8,V7,V9), P_plus-{F}(V1,V10,V8), int_leq-{F}(V10,V11), pppp1-{F}(V11,V5), P_plus-{F}(V11,V1,V12), V12 == V5 | P_a-{T}(V9,V8,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #806: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #795 ), references = 4, size of lhs = 9:
% 28.22/28.42 P_int_zero-{F}(V0), int_less-{F}(V0,V1), pppp1-{F}(V1,V2), P_int_one-{F}(V3), int_leq-{F}(V4,V1), int_leq-{F}(V1,V5), P_plus-{F}(V3,V4,V6), V6 == V2, P_plus-{F}(V2,V5,V6) | pppp2-{T}(V1,V2,V3,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #818: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #796 ), references = 1, size of lhs = 9:
% 28.22/28.42 P_int_zero-{F}(V0), int_less-{F}(V0,V1), pppp1-{F}(V1,V2), P_int_one-{F}(V3), int_leq-{F}(V4,V1), int_leq-{F}(V1,V5), P_plus-{F}(V3,V4,V6), V2 == V6, P_plus-{F}(V2,V5,V6) | pppp2-{T}(V1,V2,V3,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #844: mergings( V0 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V1 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #827 ), references = 1, size of lhs = 8:
% 28.22/28.42 P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), int_leq-{F}(V2,V1), int_leq-{F}(V1,V3), pppp1-{F}(V3,V4), P_plus-{F}(V1,V2,V4), P_plus-{F}(V1,V1,V5) | pppp2-{T}(V3,V4,V1,V0), pppp2-{T}(V3,V4,V4,V0), pppp2-{T}(V3,V4,V5,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #862: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V0 == V2, V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #845 ), references = 3, size of lhs = 12:
% 28.22/28.42 P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), int_leq-{F}(V2,V1), int_leq-{F}(V1,V3), pppp1-{F}(V3,V4), P_plus-{F}(V1,V2,V4), P_plus-{F}(V1,V1,V5), P_plus-{F}(V3,V4,V6), V6 == V4, P_plus-{F}(V3,V5,V7), V7 == V4 | pppp2-{T}(V3,V4,V1,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #876: exists( #40, #22 ), references = 5, size of lhs = 11:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5) | P_a-{T}(V7,V7,V3)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #918: mergings( V1 == V5; #915 ), references = 3, size of lhs = 13:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6), P_a-{F}(V5,V6,V7), V7 == V2 | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #921: mergings( V3 == V5; #919 ), references = 1, size of lhs = 11:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6) | P_a-{T}(V5,V6,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #986: mergings( V2 == V4, V3 == V5; #982 ), references = 1, size of lhs = 10:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V3), int_leq-{F}(V4,V5), int_leq-{F}(V5,V6), P_plus-{F}(V3,V6,V7), P_plus-{F}(V8,V4,V7), V8 == V2, P_plus-{F}(V2,V5,V9), V9 == V7 | int_less-{T}(V2,V8)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #987: disj( #7, #0+#2+#628+#17 ), references = 1, size of lhs = 10:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V3), int_leq-{F}(V4,V5), int_leq-{F}(V5,V6), P_plus-{F}(V3,V6,V7), P_plus-{F}(V8,V4,V7), V8 == V2, pppp2-{F}(V5,V9,V2,V10), V7 == V9 | int_less-{T}(V2,V8)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1006: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V9; #1000 ), references = 1, size of lhs = 15:
% 28.22/28.42 P_int_zero-{F}(V0), int_less-{F}(V0,V1), int_leq-{F}(V1,V1), P_int_one-{F}(V2), int_leq-{F}(V3,V1), int_less-{F}(V4,V1), P_plus-{F}(V2,V3,V5), P_plus-{F}(V4,V6,V5), int_leq-{F}(V6,V7), V1 == V7, V5 == V7, int_leq-{F}(V7,V8), P_plus-{F}(V7,V8,V5), P_plus-{F}(V1,V2,V9), V9 == V7 | int_less-{T}(V7,V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1057: exists( #40, #1055 ), references = 2, size of lhs = 11:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V1,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6), pppp4-{F}(V6,V7,V8,V9,V4,V5) | P_a-{T}(V5,V6,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1076: mergings( V2 == V4, V3 == V5, V9 == V12, V10 == V6, V11 == V13, V8 == V14; #1069 ), references = 5, size of lhs = 11:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V1,V6), V5 == V6, int_leq-{F}(V6,V4), int_leq-{F}(V6,V6), pppp4-{F}(V6,V7,V2,V8,V4,V5) | int_leq-{T}(V5,V6)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1140: exists( #40, #1134 ), references = 1, size of lhs = 15:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_less-{F}(V0,V6), P_plus-{F}(V1,V6,V7), P_a-{F}(V1,V7,V8), V8 == V2, int_leq-{F}(V9,V4), P_plus-{F}(V9,V6,V5), pppp4-{F}(V10,V1,V11,V12,V13,V9) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1141: exists( #40, #1135 ), references = 1, size of lhs = 15:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_less-{F}(V0,V6), P_plus-{F}(V1,V6,V7), P_a-{F}(V7,V1,V8), V8 == V2, int_leq-{F}(V9,V4), P_plus-{F}(V9,V6,V5), pppp4-{F}(V10,V1,V11,V12,V13,V9) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1174: exists( #40, #1170 ), references = 1, size of lhs = 13:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V6,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), P_a-{F}(V5,V6,V7), V7 == V2, pppp4-{F}(V8,V1,V9,V10,V11,V6) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1176: exists( #40, #1172 ), references = 1, size of lhs = 11:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V6,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), pppp4-{F}(V7,V1,V8,V9,V10,V6) | P_a-{T}(V5,V6,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1219: mergings( V3 == V7, V4 == V9, V5 == V10, V6 == V11; #1213 ), references = 2, size of lhs = 10:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V3 == V2, P_n-{F}(V4), int_leq-{F}(V5,V5), int_leq-{F}(V5,V4), P_plus-{F}(V5,V5,V5), pppp4-{F}(V6,V1,V7,V8,V9,V5) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1224: mergings( V3 == V7, V4 == V9, V5 == V10, V6 == V11; #1214 ), references = 2, size of lhs = 10:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V3 == V2, P_n-{F}(V4), int_leq-{F}(V5,V5), int_leq-{F}(V5,V4), P_plus-{F}(V5,V5,V5), pppp4-{F}(V6,V1,V7,V8,V9,V5) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1256: exists( #40, #1250 ), references = 1, size of lhs = 4:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V0), pppp4-{F}(V3,V1,V4,V5,V6,V2) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1258: mergings( V3 == V5; #1254 ), references = 1, size of lhs = 17:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5), P_plus-{F}(V5,V8,V6), P_plus-{F}(V7,V8,V9), P_a-{F}(V9,V7,V10), V10 == V2, int_less-{F}(V11,V8), pppp4-{F}(V12,V1,V13,V14,V15,V11) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1260: mergings( V3 == V5; #1255 ), references = 1, size of lhs = 17:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V6), P_plus-{F}(V6,V8,V5), P_plus-{F}(V7,V8,V9), P_a-{F}(V7,V9,V10), V10 == V2, int_less-{F}(V11,V8), pppp4-{F}(V12,V1,V13,V14,V15,V11) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1270: disj( #7, #0+#2+#1253 ), references = 4, size of lhs = 4:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp4-{F}(V2,V1,V3,V4,V5,V6), V6 == V0 | int_less-{T}(V0,V6)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1272: mergings( V2 == V4; #1268 ), references = 1, size of lhs = 17:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5), P_plus-{F}(V5,V8,V6), P_plus-{F}(V7,V8,V9), P_a-{F}(V9,V7,V10), V10 == V2, pppp4-{F}(V11,V1,V12,V13,V14,V15), V15 == V8 | int_less-{T}(V8,V15)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1274: mergings( V2 == V4; #1269 ), references = 1, size of lhs = 17:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V6), P_plus-{F}(V6,V8,V5), P_plus-{F}(V7,V8,V9), P_a-{F}(V7,V9,V10), V10 == V2, pppp4-{F}(V11,V1,V12,V13,V14,V15), V15 == V8 | int_less-{T}(V8,V15)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1304: mergings( V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V23, V1 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V24, V0 == V26; #1289 ), references = 1, size of lhs = 21:
% 28.22/28.42 P_real_zero-{F}(V0), P_real_one-{F}(V1), P_n-{F}(V2), P_int_zero-{F}(V3), int_less-{F}(V3,V4), int_leq-{F}(V4,V4), P_int_one-{F}(V4), int_leq-{F}(V4,V5), int_leq-{F}(V5,V2), int_leq-{F}(V5,V5), P_plus-{F}(V4,V4,V5), pppp5-{F}(V5,V4,V0,V6,V2), int_leq-{F}(V7,V4), P_plus-{F}(V4,V7,V5), int_leq-{F}(V8,V5), int_leq-{F}(V5,V9), P_plus-{F}(V5,V9,V10), V10 == V5, P_plus-{F}(V4,V8,V10), int_leq-{F}(V11,V4), P_plus-{F}(V4,V11,V5) | pppp4-{T}(V5,V4,V0,V6,V2,V3), pppp4-{T}(V5,V4,V0,V6,V2,V4), pppp4-{T}(V5,V4,V0,V6,V2,V5)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1326: mergings( V1 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V22, V22 == V25, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V23, V23 == V0, V3 == V26, V4 == V27, V5 == V28; #1306 ), references = 2, size of lhs = 26:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), int_less-{F}(V0,V1), int_leq-{F}(V1,V1), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_plus-{F}(V1,V1,V2), int_leq-{F}(V2,V3), P_n-{F}(V3), int_leq-{F}(V0,V3), int_leq-{F}(V4,V1), P_plus-{F}(V1,V4,V2), int_leq-{F}(V5,V2), int_leq-{F}(V2,V6), P_plus-{F}(V2,V6,V7), V7 == V2, P_plus-{F}(V1,V5,V7), int_leq-{F}(V8,V1), P_plus-{F}(V1,V8,V2), P_real_zero-{F}(V9), P_real_one-{F}(V10), V10 == V9, P_a-{F}(V2,V2,V11), pppp5-{F}(V2,V1,V9,V11,V3) | pppp4-{T}(V2,V1,V9,V11,V3,V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1344: mergings( V1 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V22, V22 == V25, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V23, V23 == V0, V3 == V26, V4 == V27, V5 == V28; #1307 ), references = 1, size of lhs = 26:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), int_less-{F}(V0,V1), int_leq-{F}(V1,V1), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_plus-{F}(V1,V1,V2), int_leq-{F}(V2,V3), P_n-{F}(V3), int_leq-{F}(V0,V3), int_leq-{F}(V4,V1), P_plus-{F}(V1,V4,V2), int_leq-{F}(V5,V2), int_leq-{F}(V2,V6), P_plus-{F}(V2,V6,V7), V7 == V2, P_plus-{F}(V1,V5,V7), int_leq-{F}(V8,V1), P_plus-{F}(V1,V8,V2), P_real_zero-{F}(V9), P_real_one-{F}(V10), V10 == V9, P_a-{F}(V2,V2,V11), pppp5-{F}(V2,V1,V9,V11,V3) | pppp4-{T}(V2,V1,V9,V11,V3,V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1362: mergings( V1 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V22, V22 == V25, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V23, V23 == V0, V3 == V26, V4 == V27, V5 == V28; #1308 ), references = 1, size of lhs = 29:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), int_less-{F}(V0,V1), int_leq-{F}(V1,V1), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_plus-{F}(V1,V1,V2), int_leq-{F}(V2,V3), P_n-{F}(V3), int_leq-{F}(V0,V3), int_leq-{F}(V4,V1), P_plus-{F}(V1,V4,V2), int_leq-{F}(V5,V2), int_leq-{F}(V2,V6), P_plus-{F}(V2,V6,V7), V7 == V2, P_plus-{F}(V1,V5,V7), int_leq-{F}(V8,V1), P_plus-{F}(V1,V8,V2), P_real_zero-{F}(V9), P_real_one-{F}(V10), int_leq-{F}(V1,V11), int_leq-{F}(V11,V3), pppp1-{F}(V0,V11), P_a-{F}(V11,V0,V12), V12 == V9, P_a-{F}(V2,V2,V13), pppp5-{F}(V2,V1,V9,V13,V3) | pppp4-{T}(V2,V1,V9,V13,V3,V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1397: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V7 == V9, V9 == V11, V11 == V13, V13 == V1, V1 == V20, V4 == V22; #1384 ), references = 1, size of lhs = 17:
% 28.22/28.42 P_real_zero-{F}(V0), P_real_one-{F}(V1), P_n-{F}(V2), int_leq-{F}(V3,V2), int_leq-{F}(V2,V4), P_plus-{F}(V2,V4,V5), V5 == V2, P_int_zero-{F}(V6), int_less-{F}(V6,V7), int_leq-{F}(V7,V7), P_plus-{F}(V7,V3,V5), P_int_one-{F}(V7), P_plus-{F}(V7,V7,V2), int_leq-{F}(V8,V7), P_plus-{F}(V7,V8,V2), int_leq-{F}(V9,V7), P_plus-{F}(V7,V9,V2) | pppp5-{T}(V2,V7,V0,V1,V2), pppp5-{T}(V7,V7,V0,V1,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1417: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V18, V18 == V22, V22 == V29, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V19, V3 == V21, V2 == V28, V28 == V35; #1400 ), references = 1, size of lhs = 44:
% 28.22/28.42 P_n-{F}(V0), int_leq-{F}(V0,V0), int_leq-{F}(V1,V0), int_leq-{F}(V0,V2), P_plus-{F}(V0,V2,V3), V3 == V0, P_int_one-{F}(V4), V4 == V0, int_leq-{F}(V4,V4), P_plus-{F}(V4,V1,V3), int_leq-{F}(V4,V0), P_plus-{F}(V4,V4,V0), int_leq-{F}(V5,V4), P_plus-{F}(V4,V5,V0), int_leq-{F}(V6,V4), P_plus-{F}(V4,V6,V0), P_a-{F}(V0,V0,V7), P_real_one-{F}(V7), int_leq-{F}(V8,V4), P_plus-{F}(V4,V8,V0), int_leq-{F}(V9,V0), int_leq-{F}(V0,V10), P_plus-{F}(V0,V10,V11), V11 == V0, P_plus-{F}(V4,V9,V11), int_leq-{F}(V12,V4), P_plus-{F}(V4,V12,V0), P_real_zero-{F}(V13), V7 == V13, P_a-{F}(V4,V0,V13), P_int_zero-{F}(V14), int_leq-{F}(V14,V14), P_plus-{F}(V14,V14,V14), int_less-{F}(V14,V4), int_leq-{F}(V14,V0), int_leq-{F}(V15,V4), P_plus-{F}(V4,V15,V0), int_leq-{F}(V16,V0), int_leq-{F}(V0,V17), P_plus-{F}(V0,V17,V18), V18 == V0, P_plus-{F}(V4,V16,V18), int_leq-{F}(V19,V4), P_plus-{F}(V4,V19,V0) | pppp5-{T}(V4,V4,V13,V7,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1454: mergings( V6 == V7, V1 == V0; #1451 ), references = 1, size of lhs = 8:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V4), pppp5-{F}(V1,V1,V2,V5,V4) | pppp4-{T}(V1,V1,V2,V5,V4,V0), pppp4-{T}(V1,V1,V2,V5,V4,V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1464: mergings( V1 == V2, V2 == V8, V3 == V0, V4 == V9, V5 == V10, V6 == V11; #1455 ), references = 1, size of lhs = 12:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), int_leq-{F}(V1,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V1,V1,V3,V4,V2), P_real_one-{F}(V5), V5 == V3 | pppp4-{T}(V1,V1,V3,V4,V2,V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1471: mergings( V1 == V2, V2 == V8, V3 == V0, V4 == V9, V5 == V10, V6 == V11; #1456 ), references = 1, size of lhs = 12:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), int_leq-{F}(V1,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V1,V1,V3,V4,V2), P_real_one-{F}(V5), V5 == V3 | pppp4-{T}(V1,V1,V3,V4,V2,V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1478: mergings( V1 == V2, V2 == V8, V3 == V0, V4 == V9, V5 == V10, V6 == V11; #1457 ), references = 1, size of lhs = 15:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), int_leq-{F}(V1,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V1,V1,V3,V4,V2), P_real_one-{F}(V5), int_leq-{F}(V1,V6), int_leq-{F}(V6,V2), pppp1-{F}(V0,V6), P_a-{F}(V6,V0,V7), V7 == V3 | pppp4-{T}(V1,V1,V3,V4,V2,V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1607: mergings( V1 == V5; #1605 ), references = 2, size of lhs = 13:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), V6 == V5, pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6), pppp4-{F}(V5,V7,V2,V8,V9,V6) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1625: mergings( V6 == V7, V7 == V9, V9 == V12, V1 == V10, V10 == V11, V11 == V13, V8 == V14, V4 == V0; #1616 ), references = 1, size of lhs = 8:
% 28.22/28.42 P_n-{F}(V0), int_leq-{F}(V0,V0), P_int_zero-{F}(V1), P_int_one-{F}(V2), int_leq-{F}(V2,V0), P_real_zero-{F}(V3), pppp5-{F}(V0,V2,V3,V4,V0), P_real_one-{F}(V5) | pppp4-{T}(V0,V2,V3,V4,V0,V1), pppp4-{T}(V0,V2,V3,V4,V0,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1641: mergings( V1 == V2, V2 == V6, V6 == V9, V9 == V14, V7 == V8, V8 == V10, V10 == V0, V11 == V15, V3 == V13, V13 == V16, V4 == V5, V5 == V17; #1626 ), references = 2, size of lhs = 12:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V2,V1,V3,V4,V2), P_real_one-{F}(V5), V5 == V3 | pppp4-{T}(V2,V1,V3,V4,V2,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1654: mergings( V1 == V2, V2 == V6, V6 == V9, V9 == V14, V7 == V8, V8 == V10, V10 == V0, V11 == V15, V3 == V13, V13 == V16, V4 == V5, V5 == V17; #1627 ), references = 1, size of lhs = 12:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V2,V1,V3,V4,V2), P_real_one-{F}(V5), V5 == V3 | pppp4-{T}(V2,V1,V3,V4,V2,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1667: mergings( V1 == V2, V2 == V6, V6 == V9, V9 == V14, V7 == V8, V8 == V10, V10 == V0, V11 == V15, V3 == V13, V13 == V16, V4 == V5, V5 == V17; #1628 ), references = 1, size of lhs = 15:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V2,V1,V3,V4,V2), P_real_one-{F}(V5), int_leq-{F}(V1,V6), int_leq-{F}(V6,V2), pppp1-{F}(V0,V6), P_a-{F}(V6,V0,V7), V7 == V3 | pppp4-{T}(V2,V1,V3,V4,V2,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1679: mergings( V1 == V5; #1677 ), references = 1, size of lhs = 13:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6), P_a-{F}(V6,V5,V7), V7 == V2 | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1682: mergings( V3 == V5; #1680 ), references = 1, size of lhs = 11:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6) | P_a-{T}(V6,V5,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1751: mergings( V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V7 == V1, V1 == V12, V12 == V14, V14 == V16, V10 == V17, V4 == V18; #1739 ), references = 1, size of lhs = 12:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_real_zero-{F}(V3), P_real_one-{F}(V4), P_n-{F}(V5), int_leq-{F}(V2,V5), pppp5-{F}(V2,V1,V3,V6,V5), int_less-{F}(V2,V7), int_leq-{F}(V0,V8), P_plus-{F}(V7,V8,V5) | pppp4-{T}(V2,V1,V3,V6,V5,V0), pppp4-{T}(V2,V1,V3,V6,V5,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1765: mergings( V0 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V11, V1 == V2, V2 == V8, V8 == V10, V10 == V12, V5 == V16, V6 == V17; #1753 ), references = 3, size of lhs = 13:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_real_zero-{F}(V3), P_real_one-{F}(V4), P_n-{F}(V5), int_leq-{F}(V2,V5), int_less-{F}(V2,V6), int_leq-{F}(V0,V7), P_plus-{F}(V6,V7,V5), P_a-{F}(V2,V2,V8), pppp5-{F}(V2,V1,V3,V8,V5) | pppp4-{T}(V2,V1,V3,V8,V5,V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1816: mergings( V0 == V6, V6 == V8, V8 == V11, V7 == V2, V2 == V12, V3 == V9, V9 == V13, V4 == V14; #1805 ), references = 2, size of lhs = 11:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), int_leq-{F}(V0,V1), P_int_one-{F}(V2), P_real_zero-{F}(V3), P_real_one-{F}(V4), V4 == V3, P_n-{F}(V5), P_plus-{F}(V5,V1,V5), int_leq-{F}(V0,V5) | pppp5-{T}(V5,V2,V3,V4,V5)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1825: mergings( V0 == V6, V6 == V8, V8 == V11, V7 == V2, V2 == V12, V3 == V9, V9 == V13, V4 == V14; #1806 ), references = 1, size of lhs = 11:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), int_leq-{F}(V0,V1), P_int_one-{F}(V2), P_real_zero-{F}(V3), P_real_one-{F}(V4), V4 == V3, P_n-{F}(V5), P_plus-{F}(V5,V1,V5), int_leq-{F}(V0,V5) | pppp5-{T}(V5,V2,V3,V4,V5)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1841: mergings( V2 == V3, V3 == V8, V8 == V1, V4 == V9, V9 == V12, V5 == V6, V6 == V10, V10 == V13; #1832 ), references = 4, size of lhs = 13:
% 28.22/28.42 P_n-{F}(V0), int_leq-{F}(V0,V0), P_a-{F}(V0,V0,V1), P_real_one-{F}(V1), P_int_zero-{F}(V2), V2 == V0, int_leq-{F}(V2,V2), P_plus-{F}(V2,V2,V2), int_leq-{F}(V2,V3), P_plus-{F}(V0,V3,V0), P_int_one-{F}(V4), P_real_zero-{F}(V5), V1 == V5 | int_less-{T}(V0,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1903: exists( #24, #1901 ), references = 1, size of lhs = 7:
% 28.22/28.42 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_less-{F}(V4,V5), int_less-{F}(V5,V1) | pppp5-{T}(V4,V1,V2,V3,V4), pppp5-{T}(V1,V1,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1917: mergings( V0 == V6; #1913 ), references = 4, size of lhs = 8:
% 28.22/28.42 P_real_zero-{F}(V0), P_real_one-{F}(V1), P_n-{F}(V2), int_less-{F}(V2,V3), int_less-{F}(V3,V4), P_int_one-{F}(V4), P_int_zero-{F}(V5), int_less-{F}(V2,V5) | pppp5-{T}(V2,V4,V0,V1,V2)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1923: mergings( V0 == V6, V4 == V11, V2 == V7, V3 == V8, V11 == V9; #1914 ), references = 1, size of lhs = 12:
% 28.22/28.42 P_int_one-{F}(V0), P_int_zero-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), int_less-{F}(V4,V5), int_less-{F}(V5,V0), int_less-{F}(V4,V6), P_plus-{F}(V4,V6,V4), P_a-{F}(V4,V4,V7), V7 == V2 | pppp5-{T}(V4,V0,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1929: mergings( V0 == V6, V4 == V11, V2 == V7, V3 == V8, V11 == V9; #1915 ), references = 1, size of lhs = 12:
% 28.22/28.42 P_int_one-{F}(V0), P_int_zero-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), int_less-{F}(V4,V5), int_less-{F}(V5,V0), int_less-{F}(V4,V6), P_plus-{F}(V4,V6,V4), P_a-{F}(V4,V4,V7), V7 == V2 | pppp5-{T}(V4,V0,V2,V3,V4)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1986: mergings( V1 == V3, V3 == V12, V2 == V4, V4 == V7, V7 == V11, V5 == V8, V8 == V9, V6 == V10; #1975 ), references = 1, size of lhs = 8:
% 28.22/28.42 P_real_zero-{F}(V0), P_real_one-{F}(V1), V1 == V0, P_int_one-{F}(V2), P_int_zero-{F}(V3), P_plus-{F}(V3,V3,V3), int_less-{F}(V3,V2), int_leq-{F}(V3,V3) | P_n-{T}(V3)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #1997: mergings( V2 == V11, V11 == V12, V1 == V3, V3 == V6, V6 == V10, V4 == V7, V7 == V8, V8 == V13, V5 == V9, V9 == V14; #1976 ), references = 1, size of lhs = 8:
% 28.22/28.42 P_int_one-{F}(V0), P_int_zero-{F}(V1), P_plus-{F}(V1,V1,V1), int_less-{F}(V1,V0), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V3 == V2 | P_n-{T}(V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #2008: mergings( V2 == V11, V11 == V12, V1 == V3, V3 == V6, V6 == V10, V4 == V7, V7 == V8, V8 == V13, V5 == V9, V9 == V14; #1977 ), references = 1, size of lhs = 8:
% 28.22/28.42 P_int_one-{F}(V0), P_int_zero-{F}(V1), P_plus-{F}(V1,V1,V1), int_less-{F}(V1,V0), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V3 == V2 | P_n-{T}(V1)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #2036: mergings( V1 == V3, V3 == V10, V10 == V13, V2 == V4, V4 == V6, V6 == V9, V9 == V14, V5 == V7, V7 == V8, V8 == V12; #2023 ), references = 1, size of lhs = 8:
% 28.22/28.42 P_real_zero-{F}(V0), P_int_zero-{F}(V1), P_plus-{F}(V1,V1,V1), int_leq-{F}(V1,V1), int_leq-{F}(V1,V2), P_plus-{F}(V1,V2,V1), int_less-{F}(V1,V3), P_int_one-{F}(V3) | P_real_one-{T}(V0)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #2050: mergings( V0 == V2, V2 == V9, V9 == V12, V12 == V14, V1 == V3, V3 == V5, V5 == V8, V8 == V13, V13 == V15, V4 == V7, V7 == V11, V11 == V6; #2037 ), references = 1, size of lhs = 8:
% 28.22/28.42 P_int_zero-{F}(V0), P_plus-{F}(V0,V0,V0), int_leq-{F}(V0,V0), int_leq-{F}(V0,V1), P_plus-{F}(V0,V1,V0), int_less-{F}(V0,V2), P_int_one-{F}(V2), P_real_zero-{F}(V3) | P_real_one-{T}(V3)
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #2064: mergings( V1 == V3, V3 == V7, V7 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V5, V5 == V6, V6 == V10, V10 == V12, V12 == V14; #2052 ), references = 1, size of lhs = 7:
% 28.22/28.42 P_int_zero-{F}(V0), P_plus-{F}(V0,V0,V0), int_leq-{F}(V0,V0), int_leq-{F}(V0,V1), P_plus-{F}(V0,V1,V0), int_less-{F}(V0,V2), P_int_one-{F}(V2) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #2072: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #2067 ), references = 1, size of lhs = 2:
% 28.22/28.42 P_int_zero-{F}(V0), int_leq-{F}(V0,V0) | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 #2076: exists( #34, #2074 ), references = 1, size of lhs = 0:
% 28.22/28.42 FALSE | FALSE
% 28.22/28.42 (used 0 times, uses = {})
% 28.22/28.42
% 28.22/28.42 number of learnt formulas = 83
% 28.22/28.42
% 28.22/28.42
% 28.22/28.42 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.22/28.42
% 28.22/28.42 randbase = 1
%------------------------------------------------------------------------------