TSTP Solution File: SWV486+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV486+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:21:45 EDT 2022
% Result : Theorem 117.65s 117.81s
% Output : Refutation 117.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV486+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 14:58:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 117.65/117.81 GeoParameters:
% 117.65/117.81
% 117.65/117.81 tptp_input = 1
% 117.65/117.81 tptp_output = 0
% 117.65/117.81 nonempty = 1
% 117.65/117.81 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.65/117.81 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 117.65/117.81
% 117.65/117.81
% 117.65/117.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.65/117.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.65/117.81
% 117.65/117.81 RuleSystem INPUT:
% 117.65/117.81
% 117.65/117.81 Initial Rules:
% 117.65/117.81 #0: input, references = 35, size of lhs = 1:
% 117.65/117.81 int_leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1: input, references = 8, size of lhs = 1:
% 117.65/117.81 pppp0-{F}(V0,V1) | int_leq-{T}(V0,V1)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2: input, references = 35, size of lhs = 2:
% 117.65/117.81 pppp0-{F}(V0,V1), V0 == V1 | int_less-{T}(V0,V1)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #3: input, references = 3, size of lhs = 1:
% 117.65/117.81 int_less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #4: input, references = 8, size of lhs = 1:
% 117.65/117.81 #-{F} V1 | pppp0-{T}(V1,V1)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #5: input, references = 11, size of lhs = 2:
% 117.65/117.81 int_less-{F}(V0,V1), int_less-{F}(V2,V0) | int_less-{T}(V2,V1)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #6: input, references = 13, size of lhs = 1:
% 117.65/117.81 int_less-{F}(V1,V1) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #7: input, references = 9, size of lhs = 2:
% 117.65/117.81 #-{F} V0, #-{F} V1 | int_less-{T}(V0,V1), int_leq-{T}(V1,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #8: input, references = 3, size of lhs = 2:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1) | int_less-{T}(V0,V1)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #9: input, references = 5, size of lhs = 5:
% 117.65/117.81 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
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #10: input, references = 4, size of lhs = 4:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V0,V3), V3 == V2 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #11: input, references = 19, size of lhs = 6:
% 117.65/117.81 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)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #12: input, references = 10, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V3) | pppp1-{T}(V2,V3)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #13: input, references = 8, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp1-{F}(V2,V3) | int_less-{T}(V2,V3)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #14: input, references = 15, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp1-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #15: input, references = 8, size of lhs = 4:
% 117.65/117.81 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)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #16: input, references = 15, size of lhs = 2:
% 117.65/117.81 pppp2-{F}(V0,V1,V2,V3), P_plus-{F}(V0,V2,V4) | int_less-{T}(V3,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #17: input, references = 12, size of lhs = 3:
% 117.65/117.81 pppp2-{F}(V0,V1,V2,V3), P_plus-{F}(V0,V2,V4), V4 == V1 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #18: input, references = 20, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V0,V2) | int_leq-{T}(V1,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #19: input, references = 9, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2) | int_less-{T}(V0,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #20: input, references = 3, size of lhs = 4:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V3), P_real_one-{F}(V3) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #21: input, references = 13, size of lhs = 17:
% 117.65/117.81 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), P_qr-{F}(V10,V9,V12), int_leq-{F}(V1,V9), int_leq-{F}(V9,V5), V11 == V12 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #22: input, references = 8, size of lhs = 16:
% 117.65/117.81 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
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #23: input, references = 7, size of lhs = 5:
% 117.65/117.81 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: pppp4-{T}(V5,V1,V2,V4)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #24: input, references = 8, size of lhs = 1:
% 117.65/117.81 pppp4-{F}(V0,V1,V2,V3) | EXISTS V4: pppp3-{T}(V4,V0,V1,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #25: input, references = 8, size of lhs = 1:
% 117.65/117.81 pppp4-{F}(V0,V1,V2,V3) | int_leq-{T}(V0,V3)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #26: input, references = 4, size of lhs = 2:
% 117.65/117.81 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V3) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #27: input, references = 8, size of lhs = 2:
% 117.65/117.81 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V4) | int_less-{T}(V0,V1)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #28: input, references = 9, size of lhs = 2:
% 117.65/117.81 pppp3-{F}(V0,V1,V2,V3), P_a-{F}(V0,V1,V4) | int_leq-{T}(V2,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #29: input, references = 4, size of lhs = 0:
% 117.65/117.81 FALSE | EXISTS V0: P_int_zero-{T}(V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #30: input, references = 4, size of lhs = 0:
% 117.65/117.81 FALSE | EXISTS V0: P_int_one-{T}(V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #31: input, references = 8, size of lhs = 2:
% 117.65/117.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_plus-{T}(V0,V1,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #32: input, references = 4, size of lhs = 0:
% 117.65/117.81 FALSE | EXISTS V0: P_real_zero-{T}(V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #33: input, references = 4, size of lhs = 0:
% 117.65/117.81 FALSE | EXISTS V0: P_real_one-{T}(V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #34: input, references = 4, size of lhs = 0:
% 117.65/117.81 FALSE | EXISTS V0: P_n-{T}(V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #35: input, references = 13, size of lhs = 2:
% 117.65/117.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_a-{T}(V0,V1,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #36: input, references = 12, size of lhs = 2:
% 117.65/117.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_qr-{T}(V0,V1,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 number of initial rules = 37
% 117.65/117.81
% 117.65/117.81 Simplifiers:
% 117.65/117.81 #37: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_zero-{F}(V1), V0 == V1 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #38: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 P_int_one-{F}(V0), P_int_one-{F}(V1), V0 == V1 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #39: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 P_plus-{F}(V0,V1,V2), P_plus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #40: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 P_real_zero-{F}(V0), P_real_zero-{F}(V1), V0 == V1 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #41: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 P_real_one-{F}(V0), P_real_one-{F}(V1), V0 == V1 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #42: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #43: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 P_a-{F}(V0,V1,V2), P_a-{F}(V0,V1,V5), V2 == V5 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #44: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 P_qr-{F}(V0,V1,V2), P_qr-{F}(V0,V1,V5), V2 == V5 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #45: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #46: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #47: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #48: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #49: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #50: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #51: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #52: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #53: unsound, references = 3, size of lhs = 3:
% 117.65/117.81 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 number of simplifiers = 17
% 117.65/117.81
% 117.65/117.81 Learnt:
% 117.65/117.81 #67: mergings( V1 == V4, V2 == V3, V3 == V5; #63 ), references = 1, size of lhs = 5:
% 117.65/117.81 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)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #69: exists( #31, #10 ), references = 5, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), #-{F} V2 | P_plus-{T}(V2,V0,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #85: exists( #31, #9 ), references = 15, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V3,V4) | P_plus-{T}(V3,V2,V4)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #94: mergings( V1 == V3, V2 == V4; #91 ), references = 1, size of lhs = 4:
% 117.65/117.81 P_int_zero-{F}(V0), P_plus-{F}(V1,V1,V0), V0 == V1, P_int_one-{F}(V2) | int_less-{T}(V1,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #107: mergings( V1 == V4, V2 == V5; #104 ), references = 2, size of lhs = 4:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V3,V2), V0 == V3 | int_less-{T}(V3,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #121: mergings( V0 == V2, V2 == V6, V1 == V5, V5 == V7; #116 ), references = 1, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), pppp1-{F}(V0,V1), P_int_one-{F}(V2) | pppp2-{T}(V0,V1,V1,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #136: exists( #31, #17 ), references = 15, size of lhs = 1:
% 117.65/117.81 pppp2-{F}(V0,V1,V2,V3) | P_plus-{T}(V0,V2,V1)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #171: mergings( V0 == V6, V6 == V8, V8 == V3, V1 == V5, V5 == V7, V7 == V9, V9 == V10; #161 ), references = 1, size of lhs = 5:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V1,V2,V1), int_leq-{F}(V2,V3), pppp1-{F}(V3,V0) | pppp2-{T}(V3,V0,V1,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #217: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #212 ), references = 3, size of lhs = 8:
% 117.65/117.81 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)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #326: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #315 ), references = 3, size of lhs = 9:
% 117.65/117.81 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)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #338: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #316 ), references = 1, size of lhs = 9:
% 117.65/117.81 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)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #358: mergings( V0 == V6, V6 == V8, V8 == V10, V1 == V5, V5 == V7, V7 == V9, V9 == V11; #350 ), references = 1, size of lhs = 8:
% 117.65/117.81 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)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #379: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V18, V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19; #363 ), references = 2, size of lhs = 10:
% 117.65/117.81 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), V0 == V3, int_less-{F}(V0,V3), pppp1-{F}(V3,V4), P_plus-{F}(V1,V2,V4), P_plus-{F}(V1,V1,V4) | pppp2-{T}(V3,V4,V1,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #523: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18; #511 ), references = 1, size of lhs = 18:
% 117.65/117.81 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}(V4,V4), int_less-{F}(V0,V5), P_plus-{F}(V4,V5,V1), P_a-{F}(V4,V1,V6), V6 == V2, int_leq-{F}(V7,V8), pppp1-{F}(V8,V9), P_plus-{F}(V1,V7,V10), V10 == V9, P_plus-{F}(V10,V11,V1), int_leq-{F}(V11,V12), P_plus-{F}(V9,V12,V4) | pppp2-{T}(V8,V9,V1,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #536: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V1; #525 ), references = 1, size of lhs = 18:
% 117.65/117.81 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}(V4,V4), int_less-{F}(V0,V5), P_plus-{F}(V4,V5,V1), int_leq-{F}(V6,V7), pppp1-{F}(V7,V8), P_plus-{F}(V1,V6,V9), V9 == V8, P_plus-{F}(V9,V10,V1), int_leq-{F}(V10,V11), P_plus-{F}(V8,V11,V4), P_plus-{F}(V7,V1,V12), V12 == V8 | P_a-{T}(V4,V1,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #647: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18; #634 ), references = 1, size of lhs = 19:
% 117.65/117.81 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}(V4,V4), int_less-{F}(V0,V5), P_plus-{F}(V4,V5,V1), P_a-{F}(V1,V4,V6), P_qr-{F}(V1,V4,V7), V6 == V7, int_leq-{F}(V8,V9), pppp1-{F}(V9,V10), P_plus-{F}(V1,V8,V11), V11 == V10, P_plus-{F}(V11,V12,V1), int_leq-{F}(V12,V13), P_plus-{F}(V10,V13,V4) | pppp2-{T}(V9,V10,V1,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #660: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V0; #649 ), references = 1, size of lhs = 19:
% 117.65/117.81 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}(V4,V4), int_less-{F}(V0,V5), P_plus-{F}(V4,V5,V1), P_a-{F}(V1,V4,V6), int_leq-{F}(V7,V8), pppp1-{F}(V8,V9), P_plus-{F}(V1,V7,V10), V10 == V9, P_plus-{F}(V10,V11,V1), int_leq-{F}(V11,V12), P_plus-{F}(V9,V12,V4), P_plus-{F}(V8,V1,V13), V13 == V9 | P_qr-{T}(V1,V4,V6)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #721: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #711 ), references = 1, size of lhs = 20:
% 117.65/117.81 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}(V4,V4), int_less-{F}(V0,V5), P_plus-{F}(V4,V5,V1), P_plus-{F}(V1,V5,V6), P_a-{F}(V6,V1,V7), P_qr-{F}(V6,V1,V8), V7 == V8, int_leq-{F}(V9,V10), pppp1-{F}(V10,V11), P_plus-{F}(V1,V9,V12), V12 == V11, P_plus-{F}(V12,V13,V1), int_leq-{F}(V13,V14), P_plus-{F}(V11,V14,V4) | pppp2-{T}(V10,V11,V1,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #733: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V1; #723 ), references = 1, size of lhs = 20:
% 117.65/117.81 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}(V4,V4), int_less-{F}(V0,V5), P_plus-{F}(V4,V5,V1), P_plus-{F}(V1,V5,V6), P_a-{F}(V6,V1,V7), int_leq-{F}(V8,V9), pppp1-{F}(V9,V10), P_plus-{F}(V1,V8,V11), V11 == V10, P_plus-{F}(V11,V12,V1), int_leq-{F}(V12,V13), P_plus-{F}(V10,V13,V4), P_plus-{F}(V9,V1,V14), V14 == V10 | P_qr-{T}(V6,V1,V7)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #801: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #789 ), references = 1, size of lhs = 9:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V3), pppp1-{F}(V3,V4), P_plus-{F}(V1,V2,V5), V5 == V4, P_plus-{F}(V5,V6,V1), int_leq-{F}(V6,V7), P_plus-{F}(V4,V7,V0) | pppp2-{T}(V3,V4,V1,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #827: mergings( V0 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V3, V1 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19; #810 ), references = 1, size of lhs = 8:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V1), P_plus-{F}(V1,V2,V3), P_plus-{F}(V3,V4,V1), int_leq-{F}(V4,V5), pppp1-{F}(V5,V0), P_plus-{F}(V1,V1,V6) | pppp2-{T}(V5,V0,V1,V0), pppp2-{T}(V5,V0,V3,V0), pppp2-{T}(V5,V0,V6,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #845: 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; #828 ), references = 1, size of lhs = 12:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V1), P_plus-{F}(V1,V2,V3), P_plus-{F}(V3,V4,V1), int_leq-{F}(V4,V5), pppp1-{F}(V5,V0), P_plus-{F}(V1,V1,V6), P_plus-{F}(V5,V1,V7), V7 == V0, P_plus-{F}(V5,V3,V8), V8 == V0 | pppp2-{T}(V5,V0,V6,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1070: exists( #35, #1068 ), references = 6, size of lhs = 2:
% 117.65/117.81 int_less-{F}(V0,V1), pppp3-{F}(V1,V0,V2,V3) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1312: mergings( V4 == V6, V5 == V7; #1307 ), references = 1, size of lhs = 4:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp3-{F}(V2,V0,V1,V3), pppp3-{F}(V2,V4,V1,V3) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1314: exists( #24, #1307 ), references = 3, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp4-{F}(V0,V1,V2,V3) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1490: exists( #35, #1486 ), references = 1, size of lhs = 12:
% 117.65/117.81 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), P_plus-{F}(V5,V5,V5), int_leq-{F}(V5,V4), P_plus-{F}(V1,V5,V6), P_a-{F}(V1,V6,V7), V7 == V2, pppp3-{F}(V5,V8,V1,V9) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1491: exists( #35, #1487 ), references = 1, size of lhs = 13:
% 117.65/117.81 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), P_plus-{F}(V5,V5,V5), int_leq-{F}(V5,V4), P_plus-{F}(V1,V5,V6), P_a-{F}(V6,V1,V7), P_qr-{F}(V6,V1,V8), V7 == V8, pppp3-{F}(V5,V9,V1,V10) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1592: mergings( V4 == V7, V6 == V8; #1589 ), references = 2, size of lhs = 5:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V0), pppp3-{F}(V3,V2,V1,V4), pppp3-{F}(V3,V5,V1,V4) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1594: exists( #24, #1589 ), references = 3, size of lhs = 4:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V0), pppp4-{F}(V2,V1,V3,V4) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1600: mergings( V0 == V4; #1598 ), references = 2, size of lhs = 5:
% 117.65/117.81 P_real_zero-{F}(V0), P_real_one-{F}(V1), P_n-{F}(V2), P_int_zero-{F}(V2), P_int_one-{F}(V3) | pppp4-{T}(V2,V3,V0,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1619: mergings( V0 == V6; #1617 ), references = 1, size of lhs = 6:
% 117.65/117.81 P_real_zero-{F}(V0), P_real_one-{F}(V1), P_n-{F}(V2), P_int_zero-{F}(V3), int_less-{F}(V2,V3), P_int_one-{F}(V4) | pppp4-{T}(V2,V4,V0,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1623: exists( #36, #21 ), references = 1, size of lhs = 15:
% 117.65/117.81 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-{F}(V9,V8,V10) | P_qr-{T}(V9,V8,V10)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #1738: disj( #7, #18+#0+#2+#1070 ), references = 1, size of lhs = 4:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp3-{F}(V2,V1,V3,V4), V1 == V2 | int_leq-{T}(V2,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2004: exists( #35, #2000 ), references = 4, size of lhs = 16:
% 117.65/117.81 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}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V5,V7,V6), P_plus-{F}(V1,V7,V8), P_a-{F}(V8,V1,V9), P_qr-{F}(V8,V1,V10), V9 == V10, pppp3-{F}(V5,V11,V1,V12) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2068: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #2060 ), references = 1, size of lhs = 19:
% 117.65/117.81 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_less-{F}(V0,V5), P_plus-{F}(V1,V5,V6), P_a-{F}(V6,V1,V7), P_qr-{F}(V6,V1,V8), V7 == V8, int_less-{F}(V9,V5), P_plus-{F}(V9,V10,V0), int_leq-{F}(V10,V11), int_leq-{F}(V11,V4), int_leq-{F}(V11,V12), int_less-{F}(V5,V13), P_plus-{F}(V13,V12,V4), pppp3-{F}(V11,V14,V1,V15) | P_plus-{T}(V5,V11,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2184: mergings( V8 == V1; #2181 ), references = 2, size of lhs = 12:
% 117.65/117.81 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_less-{F}(V0,V6), int_leq-{F}(V7,V7), int_leq-{F}(V7,V4), P_plus-{F}(V7,V6,V5), pppp3-{F}(V7,V5,V1,V8) | P_a-{T}(V7,V5,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2194: mergings( V1 == V5, V5 == V10, V9 == V6; #2190 ), references = 3, size of lhs = 11:
% 117.65/117.81 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), pppp3-{F}(V6,V5,V1,V2) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2219: mergings( V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V6 == V8, V8 == V0, V0 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V1; #2205 ), references = 1, size of lhs = 12:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), pppp4-{F}(V1,V1,V2,V3), P_real_one-{F}(V4), P_n-{F}(V5), int_leq-{F}(V1,V5), int_less-{F}(V0,V6), P_plus-{F}(V6,V0,V1), int_less-{F}(V0,V7), P_plus-{F}(V7,V0,V5) | pppp3-{T}(V1,V1,V1,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2222: exists( #36, #21 ), references = 1, size of lhs = 15:
% 117.65/117.81 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-{F}(V9,V8,V10) | P_qr-{T}(V9,V8,V10)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2223: exists( #36, #2004 ), references = 1, size of lhs = 14:
% 117.65/117.81 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}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V5,V7,V6), P_plus-{F}(V1,V7,V8), P_a-{F}(V8,V1,V9), pppp3-{F}(V5,V10,V1,V11) | P_qr-{T}(V8,V1,V9)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2225: exists( #35, #22 ), references = 1, size of lhs = 14:
% 117.65/117.81 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)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2227: exists( #36, #21 ), references = 1, size of lhs = 15:
% 117.65/117.81 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-{F}(V9,V8,V10) | P_qr-{T}(V9,V8,V10)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2287: disj( #7, exists( #35, #1068 ) ), references = 2, size of lhs = 1:
% 117.65/117.81 pppp3-{F}(V0,V1,V2,V3) | int_leq-{T}(V0,V1)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2297: mergings( V5 == V7, V6 == V1; #2294 ), references = 5, size of lhs = 8:
% 117.65/117.81 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,V4), int_leq-{F}(V4,V4), pppp4-{F}(V4,V1,V2,V5) | pppp3-{T}(V4,V4,V1,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2307: exists( #36, #21 ), references = 1, size of lhs = 15:
% 117.65/117.81 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-{F}(V9,V8,V10) | P_qr-{T}(V9,V8,V10)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2365: disj( #7, #0+#2+#1594 ), references = 5, size of lhs = 4:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp4-{F}(V2,V1,V3,V4), V2 == V0 | int_less-{T}(V0,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2366: disj( #7, #0+#2+#1592 ), references = 1, size of lhs = 5:
% 117.65/117.81 P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp3-{F}(V2,V3,V1,V4), V3 == V0, pppp3-{F}(V2,V5,V1,V4) | int_less-{T}(V0,V3)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2389: mergings( V0 == V6, V6 == V8, V8 == V11, V11 == V13, V7 == V1, V1 == V9, V9 == V12, V12 == V14, V4 == V16; #2379 ), references = 1, size of lhs = 12:
% 117.65/117.81 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), P_plus-{F}(V4,V4,V2), int_leq-{F}(V5,V4), P_plus-{F}(V4,V5,V2), int_leq-{F}(V6,V4), P_plus-{F}(V4,V6,V2) | pppp4-{T}(V3,V4,V0,V2), pppp4-{T}(V4,V4,V0,V2), pppp4-{T}(V2,V4,V0,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2412: mergings( V0 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V19, V5 == V8, V8 == V11, V11 == V13, V13 == V6, V3 == V15, V2 == V17, V17 == V20, V18 == V21; #2394 ), references = 1, size of lhs = 15:
% 117.65/117.81 P_n-{F}(V0), int_leq-{F}(V0,V0), P_int_zero-{F}(V1), int_less-{F}(V1,V2), int_leq-{F}(V2,V2), P_plus-{F}(V2,V2,V0), P_int_one-{F}(V2), int_leq-{F}(V2,V0), int_leq-{F}(V3,V2), P_plus-{F}(V2,V3,V0), int_leq-{F}(V4,V2), P_plus-{F}(V2,V4,V0), P_real_zero-{F}(V5), P_real_one-{F}(V6), P_a-{F}(V0,V0,V7) | pppp4-{T}(V1,V2,V5,V0), pppp4-{T}(V2,V2,V5,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2427: mergings( V0 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V19, V5 == V8, V8 == V11, V11 == V13, V13 == V6, V3 == V15, V2 == V17, V17 == V20, V18 == V21; #2395 ), references = 1, size of lhs = 15:
% 117.65/117.81 P_n-{F}(V0), int_leq-{F}(V0,V0), P_int_zero-{F}(V1), int_less-{F}(V1,V2), int_leq-{F}(V2,V2), P_plus-{F}(V2,V2,V0), P_int_one-{F}(V2), int_leq-{F}(V2,V0), int_leq-{F}(V3,V2), P_plus-{F}(V2,V3,V0), int_leq-{F}(V4,V2), P_plus-{F}(V2,V4,V0), P_real_zero-{F}(V5), P_real_one-{F}(V6), P_a-{F}(V0,V0,V7) | pppp4-{T}(V1,V2,V5,V0), pppp4-{T}(V2,V2,V5,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2442: mergings( V0 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V19, V5 == V8, V8 == V11, V11 == V13, V13 == V6, V3 == V15, V2 == V17, V17 == V20, V18 == V21; #2396 ), references = 1, size of lhs = 15:
% 117.65/117.81 P_n-{F}(V0), int_leq-{F}(V0,V0), P_int_zero-{F}(V1), int_less-{F}(V1,V2), int_leq-{F}(V2,V2), P_plus-{F}(V2,V2,V0), P_int_one-{F}(V2), int_leq-{F}(V2,V0), int_leq-{F}(V3,V2), P_plus-{F}(V2,V3,V0), int_leq-{F}(V4,V2), P_plus-{F}(V2,V4,V0), P_real_zero-{F}(V5), P_real_one-{F}(V6), P_a-{F}(V0,V0,V7) | pppp4-{T}(V1,V2,V5,V0), pppp4-{T}(V2,V2,V5,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2458: mergings( V0 == V2, V2 == V8, V8 == V10, V10 == V14, V14 == V17, V17 == V4, V3 == V5, V5 == V9, V9 == V11, V11 == V18, V6 == V13, V1 == V15, V15 == V20, V16 == V21; #2443 ), references = 1, size of lhs = 15:
% 117.65/117.81 P_n-{F}(V0), int_leq-{F}(V0,V0), P_real_zero-{F}(V1), P_real_one-{F}(V2), P_a-{F}(V0,V0,V3), P_int_zero-{F}(V4), int_less-{F}(V4,V5), int_leq-{F}(V5,V5), P_plus-{F}(V5,V5,V0), P_int_one-{F}(V5), int_leq-{F}(V5,V0), int_leq-{F}(V6,V5), P_plus-{F}(V5,V6,V0), int_leq-{F}(V7,V5), P_plus-{F}(V5,V7,V0) | pppp4-{T}(V5,V5,V1,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2473: exists( #36, #21 ), references = 1, size of lhs = 15:
% 117.65/117.81 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-{F}(V9,V8,V10) | P_qr-{T}(V9,V8,V10)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2474: exists( #36, #2004 ), references = 1, size of lhs = 14:
% 117.65/117.81 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}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V5,V7,V6), P_plus-{F}(V1,V7,V8), P_a-{F}(V8,V1,V9), pppp3-{F}(V5,V10,V1,V11) | P_qr-{T}(V8,V1,V9)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2479: exists( #35, #2475 ), references = 3, size of lhs = 1:
% 117.65/117.81 pppp3-{F}(V0,V0,V1,V2) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2482: mergings( V3 == V5, V4 == V6; #2478 ), references = 3, size of lhs = 2:
% 117.65/117.81 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V1,V0,V2,V3) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2542: mergings( V1 == V5; #2539 ), references = 2, size of lhs = 14:
% 117.65/117.81 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), P_qr-{F}(V5,V6,V8), V7 == V8 | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2545: mergings( V3 == V5; #2543 ), references = 1, size of lhs = 12:
% 117.65/117.81 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) | P_qr-{T}(V5,V6,V7)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2570: mergings( V1 == V5; #2568 ), references = 1, size of lhs = 13:
% 117.65/117.81 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
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2573: mergings( V3 == V5; #2571 ), references = 1, size of lhs = 11:
% 117.65/117.81 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)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2594: exists( #36, #2542 ), references = 1, size of lhs = 12:
% 117.65/117.81 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) | P_qr-{T}(V5,V6,V7)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2653: mergings( V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V1; #2646 ), references = 3, size of lhs = 11:
% 117.65/117.81 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), pppp4-{F}(V5,V1,V2,V6), int_less-{F}(V5,V7), int_leq-{F}(V0,V8), P_plus-{F}(V7,V8,V4) | pppp3-{T}(V5,V5,V1,V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2679: mergings( V0 == V6, V6 == V7, V3 == V8; #2674 ), references = 1, size of lhs = 7:
% 117.65/117.81 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}(V0,V5), P_plus-{F}(V4,V5,V4) | pppp4-{T}(V0,V1,V2,V4), pppp4-{T}(V4,V1,V2,V4)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2683: mergings( V0 == V6, V6 == V7, V3 == V8; #2675 ), references = 1, size of lhs = 7:
% 117.65/117.81 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}(V0,V5), P_plus-{F}(V4,V5,V4) | pppp4-{T}(V0,V1,V2,V4), pppp4-{T}(V4,V1,V2,V4)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2698: mergings( V0 == V2, V2 == V3, V3 == V9, V9 == V10, V1 == V6, V6 == V11; #2690 ), references = 2, size of lhs = 9:
% 117.65/117.81 P_n-{F}(V0), int_leq-{F}(V0,V0), P_int_zero-{F}(V1), V0 == V1, int_leq-{F}(V1,V2), P_plus-{F}(V0,V2,V0), P_int_one-{F}(V3), P_real_zero-{F}(V4), P_real_one-{F}(V5) | pppp4-{T}(V1,V3,V4,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2705: mergings( V0 == V2, V2 == V3, V3 == V9, V9 == V10, V1 == V6, V6 == V11; #2691 ), references = 1, size of lhs = 9:
% 117.65/117.81 P_n-{F}(V0), int_leq-{F}(V0,V0), P_int_zero-{F}(V1), V0 == V1, int_leq-{F}(V1,V2), P_plus-{F}(V0,V2,V0), P_int_one-{F}(V3), P_real_zero-{F}(V4), P_real_one-{F}(V5) | pppp4-{T}(V1,V3,V4,V0)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2714: mergings( V1 == V5, V2 == V6; #2711 ), references = 1, size of lhs = 5:
% 117.65/117.81 P_real_zero-{F}(V0), P_real_one-{F}(V1), P_int_zero-{F}(V2), int_leq-{F}(V2,V2), P_int_one-{F}(V3) | P_n-{T}(V2)
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2722: mergings( V1 == V6, V2 == V4, V4 == V7, V3 == V5; #2717 ), references = 1, size of lhs = 4:
% 117.65/117.81 P_real_zero-{F}(V0), P_int_zero-{F}(V1), int_leq-{F}(V1,V1), P_int_one-{F}(V2) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2727: mergings( V1 == V4, V2 == V3, V3 == V5; #2723 ), references = 1, size of lhs = 3:
% 117.65/117.81 P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_int_one-{F}(V1) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2730: mergings( V1 == V2; #2728 ), references = 1, size of lhs = 2:
% 117.65/117.81 P_int_zero-{F}(V0), int_leq-{F}(V0,V0) | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 #2734: exists( #29, #2732 ), references = 1, size of lhs = 0:
% 117.65/117.81 FALSE | FALSE
% 117.65/117.81 (used 0 times, uses = {})
% 117.65/117.81
% 117.65/117.81 number of learnt formulas = 71
% 117.65/117.81
% 117.65/117.81
% 117.65/117.81 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.65/117.81
% 117.65/117.81 randbase = 1
%------------------------------------------------------------------------------