TSTP Solution File: ALG074+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG074+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 05:57:12 EDT 2022
% Result : Theorem 1.60s 1.79s
% Output : Refutation 1.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG074+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 11:06:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.60/1.79 GeoParameters:
% 1.60/1.79
% 1.60/1.79 tptp_input = 1
% 1.60/1.79 tptp_output = 0
% 1.60/1.79 nonempty = 1
% 1.60/1.79 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/1.79 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.60/1.79
% 1.60/1.79
% 1.60/1.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/1.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/1.79
% 1.60/1.79 RuleSystem INPUT:
% 1.60/1.79
% 1.60/1.79 Initial Rules:
% 1.60/1.79 #0: input, references = 20, size of lhs = 3:
% 1.60/1.79 sorti1-{F}(V0), P_op1-{F}(V0,V1,V2), sorti1-{F}(V1) | sorti1-{T}(V2)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #1: input, references = 12, size of lhs = 3:
% 1.60/1.79 sorti2-{F}(V0), P_op2-{F}(V0,V1,V2), sorti2-{F}(V1) | sorti2-{T}(V2)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #2: input, references = 4, size of lhs = 0:
% 1.60/1.79 FALSE | EXISTS V0: pppp1-{T}(V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #3: input, references = 4, size of lhs = 1:
% 1.60/1.79 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #4: input, references = 4, size of lhs = 1:
% 1.60/1.79 pppp1-{F}(V0) | sorti1-{T}(V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #5: input, references = 4, size of lhs = 5:
% 1.60/1.79 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V3), P_op1-{F}(V3,V1,V4), P_op1-{F}(V3,V0,V1) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #6: input, references = 4, size of lhs = 6:
% 1.60/1.79 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V3), P_op1-{F}(V3,V1,V4), P_op1-{F}(V3,V0,V5), V4 == V0 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #7: input, references = 4, size of lhs = 5:
% 1.60/1.79 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V3), P_op1-{F}(V0,V1,V3), P_op1-{F}(V3,V1,V4), P_op1-{F}(V3,V0,V5) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #8: input, references = 33, size of lhs = 5:
% 1.60/1.79 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V3), P_op1-{F}(V3,V1,V4), P_op1-{F}(V3,V0,V5) | sorti1-{T}(V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #9: input, references = 6, size of lhs = 8:
% 1.60/1.79 sorti2-{F}(V0), P_op2-{F}(V1,V0,V2), P_op2-{F}(V0,V1,V3), P_op2-{F}(V3,V1,V0), P_op2-{F}(V3,V0,V5), sorti2-{F}(V1), V2 == V3, V5 == V1 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #10: input, references = 4, size of lhs = 0:
% 1.60/1.79 FALSE | pppp2-{T}()
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #11: input, references = 8, size of lhs = 5:
% 1.60/1.79 pppp2-{F}(), P_h-{F}(V0,V1), P_j-{F}(V1,V2), sorti1-{F}(V0), V2 == V0 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #12: input, references = 3, size of lhs = 5:
% 1.60/1.79 pppp2-{F}(), P_j-{F}(V0,V1), P_h-{F}(V1,V2), sorti2-{F}(V0), V2 == V0 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #13: input, references = 11, size of lhs = 9:
% 1.60/1.79 pppp2-{F}(), P_j-{F}(V0,V1), sorti2-{F}(V0), P_op2-{F}(V0,V2,V3), P_j-{F}(V3,V4), P_j-{F}(V2,V5), P_op1-{F}(V1,V5,V6), sorti2-{F}(V2), V4 == V6 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #14: input, references = 11, size of lhs = 9:
% 1.60/1.79 pppp2-{F}(), P_h-{F}(V0,V1), sorti1-{F}(V0), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_h-{F}(V2,V5), P_op2-{F}(V1,V5,V6), sorti1-{F}(V2), V4 == V6 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #15: input, references = 3, size of lhs = 3:
% 1.60/1.79 pppp2-{F}(), P_j-{F}(V0,V1), sorti2-{F}(V0) | sorti1-{T}(V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #16: input, references = 20, size of lhs = 3:
% 1.60/1.79 pppp2-{F}(), P_h-{F}(V0,V1), sorti1-{F}(V0) | sorti2-{T}(V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #17: input, references = 33, size of lhs = 2:
% 1.60/1.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_op1-{T}(V0,V1,V2)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #18: input, references = 13, size of lhs = 2:
% 1.60/1.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_op2-{T}(V0,V1,V2)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #19: input, references = 8, size of lhs = 1:
% 1.60/1.79 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #20: input, references = 11, size of lhs = 1:
% 1.60/1.79 #-{F} V0 | EXISTS V1: P_j-{T}(V0,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 number of initial rules = 21
% 1.60/1.79
% 1.60/1.79 Simplifiers:
% 1.60/1.79 #21: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 P_op1-{F}(V0,V1,V2), P_op1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #22: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 P_op2-{F}(V0,V1,V2), P_op2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #23: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #24: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 P_j-{F}(V0,V1), P_j-{F}(V0,V3), V1 == V3 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #25: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #26: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #27: unsound, references = 3, size of lhs = 3:
% 1.60/1.79 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 number of simplifiers = 7
% 1.60/1.79
% 1.60/1.79 Learnt:
% 1.60/1.79 #29: exists( #17, #13 ), references = 1, size of lhs = 7:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1), sorti2-{F}(V2), P_op2-{F}(V0,V2,V3), P_j-{F}(V3,V4), P_j-{F}(V2,V5) | P_op1-{T}(V1,V5,V4)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #31: exists( #20, #11 ), references = 1, size of lhs = 3:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1) | P_j-{T}(V1,V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #35: exists( #18, #14 ), references = 5, size of lhs = 7:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti1-{F}(V2), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_h-{F}(V2,V5) | P_op2-{T}(V1,V5,V4)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #37: exists( #17, #7 ), references = 1, size of lhs = 4:
% 1.60/1.79 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V2), P_op1-{F}(V2,V0,V3) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #39: exists( #17, #36 ), references = 2, size of lhs = 3:
% 1.60/1.79 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #45: exists( #17, #41 ), references = 1, size of lhs = 8:
% 1.60/1.79 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V3), P_op1-{F}(V3,V0,V4), P_h-{F}(V1,V5), P_j-{F}(V5,V6), V6 == V1 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #47: mergings( V6 == V9; #44 ), references = 3, size of lhs = 10:
% 1.60/1.79 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V3), P_op1-{F}(V3,V0,V4), P_op1-{F}(V1,V1,V5), P_h-{F}(V5,V6), P_h-{F}(V1,V7), P_op2-{F}(V7,V7,V8), V6 == V8 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #50: exists( #17, #43 ), references = 1, size of lhs = 7:
% 1.60/1.79 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V3), P_h-{F}(V1,V4), P_j-{F}(V4,V5), V5 == V1 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #52: exists( #17, #48 ), references = 1, size of lhs = 6:
% 1.60/1.79 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_h-{F}(V1,V3), P_j-{F}(V3,V4), V4 == V1 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #54: exists( #17, #51 ), references = 1, size of lhs = 5:
% 1.60/1.79 pppp2-{F}(), pppp0-{F}(V0,V1), P_h-{F}(V1,V2), P_j-{F}(V2,V3), V3 == V1 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #56: exists( #20, #53 ), references = 2, size of lhs = 3:
% 1.60/1.79 pppp2-{F}(), pppp0-{F}(V0,V1), P_h-{F}(V1,V2) | P_j-{T}(V2,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #65: exists( #18, #47 ), references = 1, size of lhs = 8:
% 1.60/1.79 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V3), P_op1-{F}(V3,V0,V4), P_op1-{F}(V1,V1,V5), P_h-{F}(V5,V6), P_h-{F}(V1,V7) | P_op2-{T}(V7,V7,V6)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #72: exists( #17, #47 ), references = 1, size of lhs = 9:
% 1.60/1.79 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V3), P_op1-{F}(V1,V1,V4), P_h-{F}(V4,V5), P_h-{F}(V1,V6), P_op2-{F}(V6,V6,V7), V5 == V7 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #74: exists( #18, #71 ), references = 1, size of lhs = 7:
% 1.60/1.79 pppp2-{F}(), pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V3), P_op1-{F}(V1,V1,V4), P_h-{F}(V4,V5), P_h-{F}(V1,V6) | P_op2-{T}(V6,V6,V5)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #85: exists( #17, #6 ), references = 27, size of lhs = 4:
% 1.60/1.79 pppp0-{F}(V0,V1), P_op1-{F}(V1,V0,V2), P_op1-{F}(V0,V1,V3), P_op1-{F}(V3,V0,V4) | P_op1-{T}(V3,V1,V0)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #90: mergings( V6 == V7; #88 ), references = 1, size of lhs = 11:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V2,V3,V4), P_op1-{F}(V3,V2,V5), P_op1-{F}(V0,V3,V6), P_h-{F}(V6,V7), P_h-{F}(V3,V8), P_op2-{F}(V1,V8,V9), V7 == V9 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #93: mergings( V6 == V8; #91 ), references = 3, size of lhs = 9:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V2,V3,V4), P_op1-{F}(V3,V2,V5), P_op1-{F}(V0,V3,V6), P_h-{F}(V6,V7), P_h-{F}(V3,V8) | P_op2-{T}(V1,V8,V7)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #101: mergings( V6 == V7; #99 ), references = 2, size of lhs = 11:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V2,V3,V4), P_op1-{F}(V3,V2,V5), P_h-{F}(V3,V6), P_op1-{F}(V3,V0,V7), P_h-{F}(V7,V8), P_op2-{F}(V6,V1,V9), V8 == V9 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #104: mergings( V6 == V8; #102 ), references = 2, size of lhs = 9:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V2,V3,V4), P_op1-{F}(V3,V2,V5), P_h-{F}(V3,V6), P_op1-{F}(V3,V0,V7), P_h-{F}(V7,V8) | P_op2-{T}(V6,V1,V8)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #121: exists( #17, #115 ), references = 2, size of lhs = 10:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V2,V1,V3), P_op1-{F}(V1,V2,V4), P_op1-{F}(V4,V2,V5), P_op1-{F}(V2,V0,V6), P_h-{F}(V6,V7), P_j-{F}(V7,V8), V8 == V6 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #123: mergings( V9 == V5; #119 ), references = 1, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V3,V2,V4), P_op1-{F}(V2,V3,V5), P_op1-{F}(V5,V3,V6), P_h-{F}(V3,V7), P_j-{F}(V7,V3), P_op2-{F}(V7,V0,V8), P_j-{F}(V8,V9), P_op1-{F}(V3,V1,V10), V9 == V10 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #124: exists( #17, #117 ), references = 2, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V2,V1,V3), P_op1-{F}(V1,V2,V4), P_op1-{F}(V4,V2,V5), P_op1-{F}(V2,V0,V6), P_h-{F}(V2,V7), P_op1-{F}(V2,V6,V8), P_h-{F}(V8,V9), P_h-{F}(V6,V10), P_op2-{F}(V7,V10,V11), V9 == V11 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #128: exists( #17, #118 ), references = 2, size of lhs = 9:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V2,V1,V3), P_op1-{F}(V1,V2,V4), P_op1-{F}(V2,V0,V5), P_h-{F}(V5,V6), P_j-{F}(V6,V7), V7 == V5 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #130: mergings( V8 == V1; #126 ), references = 1, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V3,V2,V4), P_op1-{F}(V2,V3,V5), P_h-{F}(V3,V6), P_j-{F}(V6,V3), P_op2-{F}(V6,V0,V7), P_j-{F}(V7,V8), P_op1-{F}(V3,V1,V9), V8 == V9 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #134: exists( #17, #125 ), references = 3, size of lhs = 8:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V2,V1,V3), P_op1-{F}(V2,V0,V4), P_h-{F}(V4,V5), P_j-{F}(V5,V6), V6 == V4 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #138: mergings( V6 == V7, V7 == V14, V11 == V1; #133 ), references = 2, size of lhs = 14:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti2-{F}(V1), P_j-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V4,V0,V5), P_h-{F}(V5,V6), P_j-{F}(V6,V7), P_h-{F}(V4,V8), P_j-{F}(V8,V4), P_op1-{F}(V4,V2,V9), V7 == V9, P_op1-{F}(V4,V3,V10) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #141: exists( #19, #139 ), references = 2, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti1-{F}(V2), P_op1-{F}(V0,V2,V3), P_h-{F}(V2,V4), sorti2-{F}(V4), sorti2-{F}(V5), P_op2-{F}(V4,V5,V1), P_op2-{F}(V1,V5,V4), P_op2-{F}(V5,V4,V6), V6 == V1 | P_h-{T}(V3,V5)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #150: exists( #20, #134 ), references = 1, size of lhs = 6:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V2,V1,V3), P_op1-{F}(V2,V0,V4), P_h-{F}(V4,V5) | P_j-{T}(V5,V4)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #151: exists( #20, #138 ), references = 1, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti2-{F}(V1), P_j-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V4,V0,V5), P_h-{F}(V5,V6), P_h-{F}(V4,V7), P_j-{F}(V7,V4), P_op1-{F}(V4,V2,V8), P_op1-{F}(V4,V3,V9) | P_j-{T}(V6,V8)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #156: mergings( V1 == V6, V5 == V7; #153 ), references = 1, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_op1-{F}(V2,V0,V5), P_h-{F}(V2,V6), P_op1-{F}(V2,V5,V7), P_h-{F}(V7,V8), P_h-{F}(V5,V9), P_op2-{F}(V6,V9,V10), V8 == V10 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #160: mergings( V4 == V8, V6 == V9; #157 ), references = 1, size of lhs = 10:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_op1-{F}(V2,V0,V5), P_h-{F}(V2,V6), P_op1-{F}(V2,V5,V7), P_h-{F}(V7,V8), P_h-{F}(V5,V9) | P_op2-{T}(V6,V9,V8)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #174: mergings( V5 == V6; #171 ), references = 3, size of lhs = 9:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_op1-{F}(V0,V2,V5), P_h-{F}(V5,V6), P_j-{F}(V6,V7), V7 == V5 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #177: mergings( V6 == V7, V11 == V5; #172 ), references = 2, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V2,V3,V4), P_op1-{F}(V3,V2,V5), P_h-{F}(V3,V6), P_j-{F}(V6,V3), P_op2-{F}(V0,V6,V7), P_j-{F}(V7,V8), P_op1-{F}(V1,V3,V9), V8 == V9 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #181: exists( #20, #174 ), references = 1, size of lhs = 7:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_op1-{F}(V0,V2,V5), P_h-{F}(V5,V6) | P_j-{T}(V6,V5)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #182: exists( #20, #177 ), references = 1, size of lhs = 10:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), P_j-{F}(V0,V1), pppp0-{F}(V2,V3), P_op1-{F}(V2,V3,V4), P_op1-{F}(V3,V2,V5), P_h-{F}(V3,V6), P_j-{F}(V6,V3), P_op2-{F}(V0,V6,V7), P_op1-{F}(V1,V3,V8) | P_j-{T}(V7,V8)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #197: mergings( V7 == V8; #195 ), references = 5, size of lhs = 14:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), sorti2-{F}(V1), P_j-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V3,V4,V5), P_op1-{F}(V4,V3,V6), P_h-{F}(V4,V7), P_op2-{F}(V7,V0,V8), P_op2-{F}(V1,V8,V9), P_j-{F}(V9,V10), P_j-{F}(V8,V11), P_op1-{F}(V2,V11,V12), V10 == V12 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #199: exists( #20, #197 ), references = 1, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), sorti2-{F}(V1), P_j-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V3,V4,V5), P_op1-{F}(V4,V3,V6), P_h-{F}(V4,V7), P_op2-{F}(V7,V0,V8), P_op2-{F}(V1,V8,V9), P_j-{F}(V8,V10), P_op1-{F}(V2,V10,V11) | P_j-{T}(V9,V11)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #205: mergings( V5 == V6; #203 ), references = 2, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_h-{F}(V2,V5), P_op2-{F}(V0,V5,V6), P_op2-{F}(V5,V0,V7), V6 == V7, P_op2-{F}(V7,V0,V5), P_op2-{F}(V7,V5,V8), V8 == V0 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #221: mergings( V5 == V6, V12 == V4; #218 ), references = 2, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_h-{F}(V2,V5), P_j-{F}(V5,V2), P_op2-{F}(V5,V0,V6), P_j-{F}(V6,V7), P_op2-{F}(V6,V5,V8), P_j-{F}(V8,V9), P_op1-{F}(V7,V2,V10), V9 == V10 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #238: mergings( V7 == V8; #235 ), references = 2, size of lhs = 14:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), sorti2-{F}(V1), P_j-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V3,V4,V5), P_op1-{F}(V4,V3,V6), P_h-{F}(V4,V7), P_op2-{F}(V7,V0,V8), P_j-{F}(V8,V9), P_op2-{F}(V8,V1,V10), P_j-{F}(V10,V11), P_op1-{F}(V9,V2,V12), V11 == V12 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #245: mergings( V5 == V6, V1 == V10, V4 == V11, V0 == V12, V6 == V13, V7 == V14; #236 ), references = 2, size of lhs = 14:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_h-{F}(V2,V5), P_op2-{F}(V5,V0,V6), P_j-{F}(V6,V7), P_op2-{F}(V5,V6,V8), P_op2-{F}(V6,V8,V9), P_j-{F}(V9,V10), P_j-{F}(V8,V11), P_op1-{F}(V7,V11,V12), V10 == V12 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #262: mergings( V5 == V6, V9 == V12; #258 ), references = 2, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_h-{F}(V2,V5), P_op2-{F}(V5,V0,V6), P_op2-{F}(V6,V6,V7), P_j-{F}(V7,V8), P_j-{F}(V6,V9), P_op1-{F}(V9,V9,V10), V8 == V10 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #269: mergings( V6 == V7, V1 == V11, V5 == V12, V0 == V13, V7 == V14, V8 == V15; #259 ), references = 2, size of lhs = 15:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), sorti2-{F}(V1), pppp0-{F}(V2,V3), P_op1-{F}(V2,V3,V4), P_op1-{F}(V3,V2,V5), P_h-{F}(V3,V6), P_op2-{F}(V6,V0,V7), P_j-{F}(V7,V8), P_op2-{F}(V6,V1,V9), P_op2-{F}(V7,V9,V10), P_j-{F}(V10,V11), P_j-{F}(V9,V12), P_op1-{F}(V8,V12,V13), V11 == V13 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #280: mergings( V5 == V6; #278 ), references = 1, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_h-{F}(V2,V5), P_op2-{F}(V5,V0,V6), P_op2-{F}(V5,V6,V7), P_op2-{F}(V6,V5,V8), V7 == V8, P_op2-{F}(V8,V5,V6), P_op2-{F}(V8,V6,V9), V9 == V5 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #283: mergings( V6 == V8; #281 ), references = 3, size of lhs = 11:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_h-{F}(V2,V5), P_op2-{F}(V5,V0,V6), P_op2-{F}(V5,V6,V7), P_op2-{F}(V6,V5,V8), V7 == V8, P_op2-{F}(V8,V5,V6) | P_op2-{T}(V8,V6,V5)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #287: exists( #20, #221 ), references = 1, size of lhs = 11:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_h-{F}(V2,V5), P_j-{F}(V5,V2), P_op2-{F}(V5,V0,V6), P_j-{F}(V6,V7), P_op2-{F}(V6,V5,V8), P_op1-{F}(V7,V2,V9) | P_j-{T}(V8,V9)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #301: mergings( V7 == V8; #298 ), references = 2, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V3,V4,V5), P_op1-{F}(V4,V3,V6), P_op1-{F}(V4,V0,V7), P_op1-{F}(V1,V7,V8), P_h-{F}(V8,V9), P_h-{F}(V7,V10), P_op2-{F}(V2,V10,V11), V9 == V11 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #304: mergings( V7 == V9; #302 ), references = 1, size of lhs = 11:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V3,V4,V5), P_op1-{F}(V4,V3,V6), P_op1-{F}(V4,V0,V7), P_op1-{F}(V1,V7,V8), P_h-{F}(V8,V9), P_h-{F}(V7,V10) | P_op2-{T}(V2,V10,V9)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #307: exists( #20, #238 ), references = 1, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), sorti2-{F}(V1), P_j-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V3,V4,V5), P_op1-{F}(V4,V3,V6), P_h-{F}(V4,V7), P_op2-{F}(V7,V0,V8), P_j-{F}(V8,V9), P_op2-{F}(V8,V1,V10), P_op1-{F}(V9,V2,V11) | P_j-{T}(V10,V11)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #308: exists( #20, #245 ), references = 1, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_h-{F}(V2,V5), P_op2-{F}(V5,V0,V6), P_j-{F}(V6,V7), P_op2-{F}(V5,V6,V8), P_op2-{F}(V6,V8,V9), P_j-{F}(V8,V10), P_op1-{F}(V7,V10,V11) | P_j-{T}(V9,V11)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #318: mergings( V7 == V8; #315 ), references = 2, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V3,V4,V5), P_op1-{F}(V4,V3,V6), P_op1-{F}(V4,V0,V7), P_h-{F}(V7,V8), P_op1-{F}(V7,V1,V9), P_h-{F}(V9,V10), P_op2-{F}(V8,V2,V11), V10 == V11 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #324: mergings( V5 == V6, V1 == V9, V4 == V10, V0 == V11, V6 == V12; #316 ), references = 1, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V2,V0,V3), P_h-{F}(V3,V4), P_op1-{F}(V1,V2,V5), P_op1-{F}(V2,V1,V6), P_op1-{F}(V2,V3,V7), P_op1-{F}(V3,V7,V8), P_h-{F}(V8,V9), P_h-{F}(V7,V10), P_op2-{F}(V4,V10,V11), V9 == V11 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #328: mergings( V7 == V9; #325 ), references = 1, size of lhs = 11:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V2), pppp0-{F}(V3,V4), P_op1-{F}(V3,V4,V5), P_op1-{F}(V4,V3,V6), P_op1-{F}(V4,V0,V7), P_h-{F}(V7,V8), P_op1-{F}(V7,V1,V9), P_h-{F}(V9,V10) | P_op2-{T}(V8,V2,V10)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #334: mergings( V6 == V8, V4 == V10, V5 == V11, V7 == V12, V8 == V13; #326 ), references = 1, size of lhs = 11:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V2,V0,V3), P_h-{F}(V3,V4), P_op1-{F}(V1,V2,V5), P_op1-{F}(V2,V1,V6), P_op1-{F}(V2,V3,V7), P_op1-{F}(V3,V7,V8), P_h-{F}(V8,V9), P_h-{F}(V7,V10) | P_op2-{T}(V4,V10,V9)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #339: exists( #20, #262 ), references = 1, size of lhs = 10:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_h-{F}(V2,V5), P_op2-{F}(V5,V0,V6), P_op2-{F}(V6,V6,V7), P_j-{F}(V6,V8), P_op1-{F}(V8,V8,V9) | P_j-{T}(V7,V9)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #340: exists( #20, #269 ), references = 1, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), sorti2-{F}(V1), pppp0-{F}(V2,V3), P_op1-{F}(V2,V3,V4), P_op1-{F}(V3,V2,V5), P_h-{F}(V3,V6), P_op2-{F}(V6,V0,V7), P_j-{F}(V7,V8), P_op2-{F}(V6,V1,V9), P_op2-{F}(V7,V9,V10), P_j-{F}(V9,V11), P_op1-{F}(V8,V11,V12) | P_j-{T}(V10,V12)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #354: mergings( V5 == V6; #350 ), references = 1, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_op1-{F}(V0,V2,V5), P_h-{F}(V2,V6), P_op1-{F}(V2,V5,V7), P_h-{F}(V7,V8), P_h-{F}(V5,V9), P_op2-{F}(V6,V9,V10), V8 == V10 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #360: mergings( V5 == V6, V1 == V9, V4 == V10, V0 == V11, V6 == V12; #351 ), references = 1, size of lhs = 12:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_op1-{F}(V1,V2,V5), P_op1-{F}(V2,V1,V6), P_h-{F}(V2,V7), P_op1-{F}(V2,V3,V8), P_h-{F}(V8,V9), P_op2-{F}(V7,V4,V10), V9 == V10 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #366: mergings( V5 == V6, V1 == V9, V4 == V10, V0 == V11, V6 == V12; #352 ), references = 1, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_op1-{F}(V1,V2,V5), P_op1-{F}(V2,V1,V6), P_op1-{F}(V2,V3,V7), P_h-{F}(V7,V8), P_op1-{F}(V7,V3,V9), P_h-{F}(V9,V10), P_op2-{F}(V8,V4,V11), V10 == V11 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #371: mergings( V6 == V8; #367 ), references = 1, size of lhs = 10:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_op1-{F}(V0,V2,V5), P_h-{F}(V2,V6), P_op1-{F}(V2,V5,V7), P_h-{F}(V7,V8), P_h-{F}(V5,V9) | P_op2-{T}(V6,V9,V8)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #377: mergings( V6 == V8, V4 == V10, V5 == V11, V7 == V12, V8 == V13; #368 ), references = 1, size of lhs = 10:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_op1-{F}(V1,V2,V5), P_op1-{F}(V2,V1,V6), P_h-{F}(V2,V7), P_op1-{F}(V2,V3,V8), P_h-{F}(V8,V9) | P_op2-{T}(V7,V4,V9)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #383: mergings( V6 == V8, V4 == V10, V5 == V11, V7 == V12, V8 == V13; #369 ), references = 1, size of lhs = 11:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V0,V2,V3), P_h-{F}(V3,V4), P_op1-{F}(V1,V2,V5), P_op1-{F}(V2,V1,V6), P_op1-{F}(V2,V3,V7), P_h-{F}(V7,V8), P_op1-{F}(V7,V3,V9), P_h-{F}(V9,V10) | P_op2-{T}(V8,V4,V10)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #411: mergings( V5 == V6, V1 == V8, V0 == V9, V6 == V10, V8 == V16, V4 == V15, V9 == V17, V10 == V18; #402 ), references = 1, size of lhs = 14:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V1,V2), pppp0-{F}(V1,V3), P_op1-{F}(V0,V3,V4), P_op1-{F}(V1,V3,V4), P_h-{F}(V4,V5), P_h-{F}(V3,V6), P_op2-{F}(V6,V5,V7), V2 == V7, P_op2-{F}(V7,V5,V6), P_op2-{F}(V7,V6,V8), V8 == V5, P_op1-{F}(V3,V1,V9) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #429: mergings( V5 == V6, V1 == V8, V4 == V9, V6 == V10; #422 ), references = 1, size of lhs = 10:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V0,V2,V4), P_op1-{F}(V2,V1,V5), P_op1-{F}(V2,V4,V6), P_h-{F}(V6,V7), P_j-{F}(V7,V8), V8 == V6 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #435: mergings( V5 == V6, V1 == V8, V4 == V9, V0 == V11, V6 == V10; #423 ), references = 1, size of lhs = 10:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V0,V2,V3), P_op1-{F}(V2,V1,V4), P_op1-{F}(V1,V2,V5), P_op1-{F}(V2,V3,V6), P_h-{F}(V6,V7), P_j-{F}(V7,V8), V8 == V6 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #439: mergings( V5 == V6, V1 == V8, V6 == V9; #424 ), references = 1, size of lhs = 10:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V1,V2), P_op1-{F}(V0,V2,V3), P_op1-{F}(V1,V2,V4), P_op1-{F}(V2,V1,V5), P_op1-{F}(V2,V3,V6), P_h-{F}(V6,V7), P_j-{F}(V7,V8), V8 == V6 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #482: mergings( V6 == V7, V11 == V5; #477 ), references = 1, size of lhs = 15:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), sorti2-{F}(V1), sorti1-{F}(V2), P_h-{F}(V2,V1), pppp0-{F}(V2,V3), P_op1-{F}(V0,V3,V4), P_op1-{F}(V2,V3,V4), P_op1-{F}(V3,V2,V5), P_h-{F}(V3,V6), P_j-{F}(V6,V3), P_op2-{F}(V1,V6,V7), P_h-{F}(V4,V7), P_op2-{F}(V6,V1,V8), V8 == V7 | P_op1-{T}(V4,V2,V3)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #490: mergings( V7 == V8, V9 == V12, V1 == V16, V6 == V15, V0 == V17, V8 == V18, V14 == V15; #478 ), references = 1, size of lhs = 19:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), sorti2-{F}(V1), sorti2-{F}(V2), P_j-{F}(V2,V3), P_h-{F}(V3,V2), pppp0-{F}(V3,V4), P_op1-{F}(V0,V4,V5), P_op1-{F}(V3,V4,V5), P_h-{F}(V5,V6), P_j-{F}(V6,V5), P_h-{F}(V4,V7), P_op2-{F}(V2,V7,V6), P_j-{F}(V7,V4), P_op2-{F}(V7,V1,V8), P_op2-{F}(V7,V8,V2), P_op2-{F}(V7,V2,V9), V9 == V6, P_op1-{F}(V4,V3,V10) | P_op1-{T}(V5,V3,V4)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #503: mergings( V6 == V7, V12 == V8, V16 == V1, V15 == V5, V17 == V0, V18 == V7, V1 == V21, V5 == V20, V0 == V22, V7 == V23, V8 == V19, V14 == V20; #479 ), references = 1, size of lhs = 18:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), sorti2-{F}(V1), P_j-{F}(V2,V3), P_h-{F}(V3,V2), P_op1-{F}(V0,V3,V4), P_op2-{F}(V2,V1,V5), P_h-{F}(V4,V6), P_j-{F}(V6,V4), P_op2-{F}(V2,V5,V7), P_op2-{F}(V7,V2,V6), P_op2-{F}(V2,V7,V8), V8 == V6, P_j-{F}(V7,V9), P_h-{F}(V9,V7), pppp0-{F}(V9,V3), P_op1-{F}(V9,V3,V4), P_op1-{F}(V3,V9,V10) | P_op1-{T}(V4,V9,V3)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #516: mergings( V7 == V8, V12 == V13, V6 == V11, V8 == V13, V5 == V15, V11 == V14, V0 == V16, V13 == V17; #507 ), references = 1, size of lhs = 15:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti2-{F}(V1), sorti1-{F}(V2), sorti1-{F}(V3), P_h-{F}(V3,V1), pppp0-{F}(V3,V4), P_op1-{F}(V2,V4,V5), P_op1-{F}(V0,V4,V5), P_op1-{F}(V3,V4,V5), P_h-{F}(V4,V6), P_j-{F}(V6,V4), P_op2-{F}(V6,V1,V7), P_op1-{F}(V4,V3,V8) | P_h-{T}(V5,V7)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #526: mergings( V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V14, V14 == V15; #519 ), references = 1, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), P_h-{F}(V0,V1), sorti2-{F}(V1), sorti1-{F}(V2), P_h-{F}(V2,V1), pppp0-{F}(V2,V3), P_op1-{F}(V3,V0,V4), P_h-{F}(V4,V5), P_j-{F}(V5,V6), P_h-{F}(V3,V7), P_j-{F}(V7,V3), P_op1-{F}(V3,V2,V8) | P_op1-{T}(V2,V3,V6)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #540: mergings( V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V0, V0 == V13, V13 == V14, V5 == V16, V6 == V15, V14 == V17; #529 ), references = 1, size of lhs = 13:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V2), sorti2-{F}(V2), sorti1-{F}(V3), P_h-{F}(V3,V2), pppp0-{F}(V3,V4), P_op1-{F}(V4,V1,V5), P_op1-{F}(V4,V0,V5), P_op1-{F}(V4,V3,V5), P_h-{F}(V4,V6), P_j-{F}(V6,V4) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #542: exists( #17, #529 ), references = 1, size of lhs = 7:
% 1.60/1.79 pppp2-{F}(), sorti2-{F}(V0), sorti1-{F}(V1), P_h-{F}(V1,V0), pppp0-{F}(V1,V2), P_h-{F}(V2,V3), P_j-{F}(V3,V2) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #545: exists( #19, #543 ), references = 2, size of lhs = 5:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V0,V1), P_h-{F}(V1,V2), P_j-{F}(V2,V1) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #553: mergings( V2 == V3; #550 ), references = 1, size of lhs = 3:
% 1.60/1.79 pppp2-{F}(), sorti1-{F}(V0), pppp0-{F}(V0,V1) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #555: exists( #3, #550 ), references = 1, size of lhs = 3:
% 1.60/1.79 pppp2-{F}(), pppp1-{F}(V0), sorti1-{F}(V0) | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #558: exists( #2, #556 ), references = 1, size of lhs = 1:
% 1.60/1.79 pppp2-{F}() | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #560: #10+#557, references = 1, size of lhs = 0:
% 1.60/1.79 FALSE | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 number of learnt formulas = 78
% 1.60/1.79
% 1.60/1.79
% 1.60/1.79 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/1.79
% 1.60/1.79 randbase = 1
%------------------------------------------------------------------------------