TSTP Solution File: LCL109-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL109-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:08:46 EDT 2022
% Result : Unsatisfiable 90.01s 90.21s
% Output : Refutation 90.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL109-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 23:04:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 90.01/90.21 GeoParameters:
% 90.01/90.21
% 90.01/90.21 tptp_input = 1
% 90.01/90.21 tptp_output = 0
% 90.01/90.21 nonempty = 1
% 90.01/90.21 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.01/90.21 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 90.01/90.21
% 90.01/90.21
% 90.01/90.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.01/90.21 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.01/90.21
% 90.01/90.21 RuleSystem INPUT:
% 90.01/90.21
% 90.01/90.21 Initial Rules:
% 90.01/90.21 #0: input, references = 6, size of lhs = 3:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V1,V2), V2 == V1 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1: input, references = 11, size of lhs = 7:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V4), P_implies-{F}(V2,V3,V5), P_implies-{F}(V1,V3,V6), P_implies-{F}(V5,V6,V7), P_implies-{F}(V4,V7,V8), V8 == V0 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #2: input, references = 14, size of lhs = 6:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V2,V1,V5), P_implies-{F}(V5,V1,V6), V4 == V6 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #3: input, references = 8, size of lhs = 7:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V3), P_not-{F}(V2,V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V1,V6), P_implies-{F}(V5,V6,V7), V7 == V0 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #4: input, references = 6, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_big_V-{F}(V1,V2,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V4,V2,V5), V3 == V5 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #5: input, references = 9, size of lhs = 7:
% 90.01/90.21 P_truth-{F}(V0), P_big_hat-{F}(V1,V2,V3), P_not-{F}(V1,V4), P_not-{F}(V2,V5), P_big_V-{F}(V4,V5,V6), P_not-{F}(V6,V7), V3 == V7 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #6: input, references = 3, size of lhs = 4:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), ordered-{F}(V1,V2), V3 == V0 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #7: input, references = 3, size of lhs = 2:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0) | ordered-{T}(V1,V2)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #8: input, references = 5, size of lhs = 6:
% 90.01/90.21 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V1,V4), P_big_V-{F}(V3,V4,V0) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #9: input, references = 33, size of lhs = 2:
% 90.01/90.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #10: input, references = 4, size of lhs = 0:
% 90.01/90.21 FALSE | EXISTS V0: P_truth-{T}(V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #11: input, references = 14, size of lhs = 1:
% 90.01/90.21 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #12: input, references = 11, size of lhs = 2:
% 90.01/90.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_big_V-{T}(V0,V1,V2)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #13: input, references = 26, size of lhs = 2:
% 90.01/90.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_big_hat-{T}(V0,V1,V2)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #14: input, references = 4, size of lhs = 0:
% 90.01/90.21 FALSE | EXISTS V0: P_x-{T}(V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #15: input, references = 4, size of lhs = 0:
% 90.01/90.21 FALSE | EXISTS V0: P_y-{T}(V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 number of initial rules = 16
% 90.01/90.21
% 90.01/90.21 Simplifiers:
% 90.01/90.21 #16: unsound, references = 3, size of lhs = 3:
% 90.01/90.21 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #17: unsound, references = 3, size of lhs = 3:
% 90.01/90.21 P_truth-{F}(V0), P_truth-{F}(V1), V0 == V1 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #18: unsound, references = 3, size of lhs = 3:
% 90.01/90.21 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #19: unsound, references = 3, size of lhs = 3:
% 90.01/90.21 P_big_V-{F}(V0,V1,V2), P_big_V-{F}(V0,V1,V5), V2 == V5 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #20: unsound, references = 3, size of lhs = 3:
% 90.01/90.21 P_big_hat-{F}(V0,V1,V2), P_big_hat-{F}(V0,V1,V5), V2 == V5 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #21: unsound, references = 3, size of lhs = 3:
% 90.01/90.21 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #22: unsound, references = 3, size of lhs = 3:
% 90.01/90.21 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 number of simplifiers = 7
% 90.01/90.21
% 90.01/90.21 Learnt:
% 90.01/90.21 #24: exists( #9, #0 ), references = 57, size of lhs = 2:
% 90.01/90.21 P_truth-{F}(V0), #-{F} V1 | P_implies-{T}(V0,V1,V1)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #26: exists( #12, #4 ), references = 11, size of lhs = 3:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V2,V4) | P_big_V-{T}(V1,V2,V4)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #28: exists( #11, #5 ), references = 37, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_big_V-{F}(V2,V5,V6) | P_not-{T}(V6,V4)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #32: exists( #9, #1 ), references = 17, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V1,V4,V6), P_implies-{F}(V5,V6,V7) | P_implies-{T}(V3,V7,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #33: exists( #9, #3 ), references = 19, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V2,V4,V5), P_implies-{F}(V3,V1,V6) | P_implies-{T}(V5,V6,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #42: mergings( V3 == V4; #38 ), references = 7, size of lhs = 4:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V3) | P_implies-{T}(V4,V1,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #45: mergings( V3 == V4; #40 ), references = 1, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V3,V4,V1), P_not-{F}(V5,V4) | P_implies-{T}(V5,V2,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #53: mergings( V2 == V3, V3 == V4; #50 ), references = 2, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V2,V4), P_not-{F}(V5,V3), P_implies-{F}(V2,V5,V6), P_implies-{F}(V6,V5,V7), V7 == V4 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #62: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #57 ), references = 1, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_implies-{F}(V0,V2,V3), P_implies-{F}(V4,V1,V2), P_not-{F}(V5,V6), P_big_V-{F}(V6,V7,V4), P_not-{F}(V8,V7) | P_big_hat-{T}(V5,V8,V3)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #66: exists( #13, #5 ), references = 10, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_big_V-{F}(V2,V4,V5), P_not-{F}(V5,V6) | P_big_hat-{T}(V1,V3,V6)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #74: exists( #9, #4 ), references = 42, size of lhs = 3:
% 90.01/90.21 P_truth-{F}(V0), P_big_V-{F}(V1,V2,V3), P_implies-{F}(V1,V2,V4) | P_implies-{T}(V4,V2,V3)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #78: mergings( V3 == V4; #76 ), references = 43, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V3), P_implies-{F}(V4,V2,V3), P_implies-{F}(V2,V4,V5), P_implies-{F}(V5,V4,V6) | P_big_V-{T}(V1,V2,V6)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #85: mergings( V3 == V4, V4 == V5, V5 == V6; #81 ), references = 21, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V2), P_implies-{F}(V1,V3,V3), P_implies-{F}(V3,V2,V4), P_implies-{F}(V4,V2,V3) | P_implies-{T}(V2,V3,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #95: mergings( V3 == V4; #92 ), references = 61, size of lhs = 4:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V4), P_implies-{F}(V1,V3,V5) | P_implies-{T}(V4,V5,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #97: mergings( V3 == V4; #93 ), references = 1, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V1,V0), P_implies-{F}(V2,V3,V1), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V4,V6) | P_implies-{T}(V5,V6,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #121: mergings( V3 == V4, V4 == V5; #118 ), references = 10, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V4,V1,V5), P_implies-{F}(V0,V5,V6), P_not-{F}(V4,V7), P_not-{F}(V7,V8), P_implies-{F}(V8,V3,V5) | P_implies-{T}(V2,V7,V6)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #146: mergings( V3 == V4; #144 ), references = 5, size of lhs = 3:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V0) | P_implies-{T}(V1,V3,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #155: mergings( V3 == V4, V4 == V5, V5 == V6; #151 ), references = 2, size of lhs = 12:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V2,V2), P_not-{F}(V4,V2), P_implies-{F}(V5,V3,V0), P_not-{F}(V6,V5), P_implies-{F}(V4,V6,V5), P_implies-{F}(V0,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V9,V5), P_big_hat-{F}(V9,V1,V10), V10 == V8 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #160: mergings( V3 == V4, V4 == V5, V5 == V6; #156 ), references = 1, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V2,V2), P_not-{F}(V4,V2), P_implies-{F}(V5,V3,V0), P_not-{F}(V6,V5), P_implies-{F}(V4,V6,V5), P_implies-{F}(V0,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V9,V5) | P_big_hat-{T}(V9,V1,V8)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #176: mergings( V3 == V4, V4 == V5, V5 == V6; #172 ), references = 8, size of lhs = 6:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V3), P_implies-{F}(V3,V1,V4), P_implies-{F}(V4,V1,V5), P_implies-{F}(V5,V3,V6) | P_implies-{T}(V1,V3,V6)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #185: exists( #13, #155 ), references = 1, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V2,V2), P_not-{F}(V4,V2), P_implies-{F}(V5,V3,V0), P_not-{F}(V6,V5), P_implies-{F}(V4,V6,V5), P_implies-{F}(V0,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V9,V5) | P_big_hat-{T}(V9,V1,V8)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #203: mergings( V3 == V4, V4 == V5; #200 ), references = 3, size of lhs = 12:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_not-{F}(V9,V8), P_implies-{F}(V0,V8,V10), P_not-{F}(V10,V11), P_big_hat-{F}(V1,V9,V12), V12 == V11 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #207: mergings( V3 == V4, V4 == V5; #204 ), references = 1, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_not-{F}(V9,V8), P_implies-{F}(V0,V8,V10), P_not-{F}(V10,V11) | P_big_hat-{T}(V1,V9,V11)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #227: mergings( V3 == V4, V4 == V5; #224 ), references = 1, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V2,V0) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #241: mergings( V3 == V4, V4 == V5; #238 ), references = 4, size of lhs = 11:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V4,V1,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V3,V8), P_implies-{F}(V8,V6,V9), P_implies-{F}(V0,V9,V10), P_implies-{F}(V0,V10,V11), V11 == V0 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #252: mergings( V15 == V17, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #246 ), references = 1, size of lhs = 11:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V4,V1,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V3,V8), P_implies-{F}(V9,V6,V8), P_implies-{F}(V10,V6,V8), P_implies-{F}(V6,V10,V11), P_implies-{F}(V12,V10,V11) | P_big_V-{T}(V12,V10,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #266: mergings( V14 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #258 ), references = 1, size of lhs = 12:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V4,V1,V3), P_not-{F}(V4,V5), P_not-{F}(V5,V6), P_implies-{F}(V3,V6,V7), P_implies-{F}(V8,V6,V7), P_implies-{F}(V0,V6,V9), P_implies-{F}(V6,V7,V10), P_implies-{F}(V10,V7,V11), V9 == V11 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #277: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #269 ), references = 13, size of lhs = 9:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V2,V3), P_implies-{F}(V4,V3,V3), P_implies-{F}(V0,V3,V5), P_implies-{F}(V6,V4,V0), P_implies-{F}(V1,V7,V6), P_not-{F}(V7,V8), P_not-{F}(V8,V6) | P_implies-{T}(V6,V3,V5)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #322: mergings( V3 == V4; #320 ), references = 6, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V5,V2,V6), P_implies-{F}(V6,V2,V7), P_not-{F}(V7,V8), V4 == V8 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #325: mergings( V3 == V4; #323 ), references = 4, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V5,V2,V6), P_implies-{F}(V6,V2,V7), P_not-{F}(V7,V8), V4 == V8 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #342: mergings( V3 == V4; #339 ), references = 2, size of lhs = 12:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_not-{F}(V2,V3), P_implies-{F}(V1,V4,V5), P_not-{F}(V6,V5), P_implies-{F}(V0,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V4,V9), P_implies-{F}(V9,V3,V10), P_not-{F}(V11,V10), P_big_hat-{F}(V6,V11,V12), V12 == V8 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #344: mergings( V3 == V4; #340 ), references = 2, size of lhs = 12:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_not-{F}(V2,V3), P_implies-{F}(V1,V4,V5), P_not-{F}(V6,V5), P_implies-{F}(V0,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V4,V9), P_implies-{F}(V9,V3,V10), P_not-{F}(V11,V10), P_big_hat-{F}(V6,V11,V12), V12 == V8 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #348: mergings( V3 == V4; #345 ), references = 1, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_not-{F}(V2,V3), P_implies-{F}(V1,V4,V5), P_not-{F}(V6,V5), P_implies-{F}(V0,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V4,V9), P_implies-{F}(V9,V3,V10), P_not-{F}(V11,V10) | P_big_hat-{T}(V6,V11,V8)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #350: mergings( V3 == V4; #346 ), references = 1, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_not-{F}(V2,V3), P_implies-{F}(V1,V4,V5), P_not-{F}(V6,V5), P_implies-{F}(V0,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V4,V9), P_implies-{F}(V9,V3,V10), P_not-{F}(V11,V10) | P_big_hat-{T}(V6,V11,V8)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #358: exists( #13, #322 ), references = 1, size of lhs = 6:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V2,V5), P_implies-{F}(V5,V2,V6), P_not-{F}(V6,V7) | P_big_hat-{T}(V1,V3,V7)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #387: mergings( V3 == V4, V4 == V5, V5 == V6; #383 ), references = 5, size of lhs = 9:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V1,V4,V5), P_implies-{F}(V5,V4,V6), P_implies-{F}(V2,V3,V7), P_not-{F}(V7,V6), P_implies-{F}(V0,V7,V8) | P_implies-{T}(V4,V1,V8)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #421: mergings( V3 == V4, V4 == V5; #418 ), references = 2, size of lhs = 12:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_not-{F}(V2,V3), P_implies-{F}(V1,V4,V5), P_not-{F}(V6,V5), P_implies-{F}(V0,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V4,V9), P_implies-{F}(V9,V3,V10), P_not-{F}(V11,V10), P_big_hat-{F}(V11,V6,V12), V12 == V8 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #425: mergings( V3 == V4, V4 == V5; #422 ), references = 1, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_not-{F}(V2,V3), P_implies-{F}(V1,V4,V5), P_not-{F}(V6,V5), P_implies-{F}(V0,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V4,V9), P_implies-{F}(V9,V3,V10), P_not-{F}(V11,V10) | P_big_hat-{T}(V11,V6,V8)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #513: mergings( V3 == V4, V4 == V5, V5 == V6; #509 ), references = 2, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V4,V2,V6), P_implies-{F}(V6,V2,V7), P_implies-{F}(V5,V4,V8), P_implies-{F}(V8,V7,V9), P_implies-{F}(V0,V9,V10), V10 == V0 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #522: mergings( V3 == V4, V4 == V5; #519 ), references = 10, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V7,V8,V5), P_implies-{F}(V8,V9,V2), P_implies-{F}(V7,V9,V4) | P_implies-{T}(V2,V4,V6)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #580: mergings( V21 == V29, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #565 ), references = 1, size of lhs = 31:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_big_V-{F}(V4,V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V2,V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V0,V7,V10), P_implies-{F}(V0,V9,V11), P_implies-{F}(V12,V11,V0), P_implies-{F}(V12,V1,V13), P_not-{F}(V14,V13), P_implies-{F}(V0,V13,V15), P_implies-{F}(V16,V1,V13), P_not-{F}(V17,V10), P_implies-{F}(V17,V14,V18), P_implies-{F}(V11,V16,V18), P_implies-{F}(V0,V18,V19), P_not-{F}(V20,V10), P_implies-{F}(V21,V10,V10), P_implies-{F}(V0,V22,V19), P_implies-{F}(V20,V23,V22), P_not-{F}(V23,V24), P_implies-{F}(V21,V24,V25), P_implies-{F}(V25,V15,V26), V26 == V0, P_implies-{F}(V11,V27,V22), P_implies-{F}(V27,V1,V24) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #594: mergings( V22 == V37, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #566 ), references = 1, size of lhs = 31:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_big_V-{F}(V4,V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V2,V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V0,V7,V10), P_implies-{F}(V0,V9,V11), P_implies-{F}(V12,V11,V0), P_implies-{F}(V12,V1,V13), P_not-{F}(V14,V13), P_implies-{F}(V0,V13,V15), P_implies-{F}(V16,V1,V13), P_implies-{F}(V17,V11,V0), P_implies-{F}(V17,V1,V18), P_not-{F}(V19,V18), P_implies-{F}(V0,V18,V20), V20 == V15, P_implies-{F}(V21,V1,V18), P_implies-{F}(V11,V16,V22), P_implies-{F}(V23,V14,V22), P_not-{F}(V23,V10), P_not-{F}(V24,V10), P_implies-{F}(V0,V22,V25), P_implies-{F}(V24,V19,V26), P_implies-{F}(V0,V26,V25), P_implies-{F}(V11,V21,V26) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #609: mergings( V23 == V38, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #567 ), references = 1, size of lhs = 31:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_big_V-{F}(V4,V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V2,V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V0,V7,V10), P_implies-{F}(V0,V9,V11), P_implies-{F}(V12,V11,V0), P_implies-{F}(V12,V1,V13), P_not-{F}(V14,V13), P_implies-{F}(V0,V13,V15), P_implies-{F}(V16,V1,V13), P_implies-{F}(V17,V11,V0), P_implies-{F}(V17,V1,V18), P_not-{F}(V19,V18), P_implies-{F}(V0,V18,V20), V20 == V15, P_implies-{F}(V21,V1,V18), P_implies-{F}(V11,V16,V22), P_implies-{F}(V23,V14,V22), P_not-{F}(V23,V10), P_not-{F}(V24,V10), P_implies-{F}(V0,V22,V25), P_implies-{F}(V24,V19,V26), P_implies-{F}(V0,V26,V25), P_implies-{F}(V11,V21,V26) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #634: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #619 ), references = 1, size of lhs = 28:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_implies-{F}(V2,V6,V7), P_not-{F}(V7,V4), P_implies-{F}(V0,V7,V8), P_implies-{F}(V9,V8,V0), P_implies-{F}(V9,V1,V10), P_not-{F}(V11,V10), P_implies-{F}(V0,V10,V12), P_implies-{F}(V13,V1,V10), P_not-{F}(V14,V4), P_implies-{F}(V14,V11,V15), P_implies-{F}(V8,V13,V15), P_implies-{F}(V0,V15,V16), P_not-{F}(V17,V4), P_implies-{F}(V0,V18,V16), P_implies-{F}(V17,V19,V18), P_not-{F}(V19,V20), P_implies-{F}(V0,V20,V21), P_implies-{F}(V21,V12,V22), V22 == V0, P_implies-{F}(V8,V23,V18), P_implies-{F}(V23,V1,V20) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #648: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #620 ), references = 1, size of lhs = 29:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_implies-{F}(V2,V6,V7), P_not-{F}(V7,V4), P_implies-{F}(V0,V7,V8), P_implies-{F}(V9,V8,V0), P_implies-{F}(V9,V1,V10), P_not-{F}(V11,V10), P_implies-{F}(V0,V10,V12), P_implies-{F}(V13,V1,V10), P_implies-{F}(V14,V8,V0), P_implies-{F}(V14,V1,V15), P_not-{F}(V16,V15), P_implies-{F}(V0,V15,V17), V17 == V12, P_implies-{F}(V18,V1,V15), P_implies-{F}(V8,V13,V19), P_implies-{F}(V20,V11,V19), P_not-{F}(V20,V4), P_not-{F}(V21,V4), P_implies-{F}(V0,V19,V22), P_implies-{F}(V21,V16,V23), P_implies-{F}(V0,V23,V22), P_implies-{F}(V8,V18,V23) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #663: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #621 ), references = 1, size of lhs = 29:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_implies-{F}(V2,V6,V7), P_not-{F}(V7,V4), P_implies-{F}(V0,V7,V8), P_implies-{F}(V9,V8,V0), P_implies-{F}(V9,V1,V10), P_not-{F}(V11,V10), P_implies-{F}(V0,V10,V12), P_implies-{F}(V13,V1,V10), P_implies-{F}(V14,V8,V0), P_implies-{F}(V14,V1,V15), P_not-{F}(V16,V15), P_implies-{F}(V0,V15,V17), V17 == V12, P_implies-{F}(V18,V1,V15), P_implies-{F}(V8,V13,V19), P_implies-{F}(V20,V11,V19), P_not-{F}(V20,V4), P_not-{F}(V21,V4), P_implies-{F}(V0,V19,V22), P_implies-{F}(V21,V16,V23), P_implies-{F}(V0,V23,V22), P_implies-{F}(V8,V18,V23) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #683: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #667 ), references = 1, size of lhs = 25:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_implies-{F}(V2,V3,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V5,V4,V0), P_implies-{F}(V5,V1,V6), P_not-{F}(V7,V6), P_implies-{F}(V0,V6,V8), P_implies-{F}(V9,V1,V6), P_implies-{F}(V3,V7,V10), P_implies-{F}(V4,V9,V10), P_implies-{F}(V0,V10,V11), P_implies-{F}(V0,V12,V11), P_implies-{F}(V3,V13,V12), P_not-{F}(V13,V14), P_implies-{F}(V0,V14,V15), P_implies-{F}(V15,V8,V16), V16 == V0, P_implies-{F}(V4,V17,V12), P_implies-{F}(V17,V1,V14), P_not-{F}(V18,V19), P_big_V-{F}(V19,V20,V3), P_not-{F}(V21,V20) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #698: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #668 ), references = 1, size of lhs = 26:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_implies-{F}(V2,V3,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V5,V4,V0), P_implies-{F}(V5,V1,V6), P_not-{F}(V7,V6), P_implies-{F}(V0,V6,V8), P_implies-{F}(V9,V1,V6), P_implies-{F}(V10,V4,V0), P_implies-{F}(V10,V1,V11), P_not-{F}(V12,V11), P_implies-{F}(V0,V11,V13), V13 == V8, P_implies-{F}(V14,V1,V11), P_implies-{F}(V4,V9,V15), P_implies-{F}(V3,V7,V15), P_implies-{F}(V0,V15,V16), P_implies-{F}(V3,V12,V17), P_implies-{F}(V0,V17,V16), P_implies-{F}(V4,V14,V17), P_not-{F}(V18,V19), P_big_V-{F}(V19,V20,V3), P_not-{F}(V21,V20) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #714: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18; #669 ), references = 1, size of lhs = 26:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_implies-{F}(V2,V3,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V5,V4,V0), P_implies-{F}(V5,V1,V6), P_not-{F}(V7,V6), P_implies-{F}(V0,V6,V8), P_implies-{F}(V9,V1,V6), P_implies-{F}(V10,V4,V0), P_implies-{F}(V10,V1,V11), P_not-{F}(V12,V11), P_implies-{F}(V0,V11,V13), V13 == V8, P_implies-{F}(V14,V1,V11), P_implies-{F}(V4,V9,V15), P_implies-{F}(V3,V7,V15), P_implies-{F}(V0,V15,V16), P_implies-{F}(V3,V12,V17), P_implies-{F}(V0,V17,V16), P_implies-{F}(V4,V14,V17), P_not-{F}(V18,V19), P_big_V-{F}(V19,V20,V3), P_not-{F}(V21,V20) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #768: mergings( V37 == V39, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23; #744 ), references = 1, size of lhs = 27:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V5,V2,V6), P_implies-{F}(V2,V6,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V0,V8,V9), P_implies-{F}(V0,V10,V9), P_implies-{F}(V11,V2,V6), P_not-{F}(V11,V12), P_implies-{F}(V11,V1,V12), P_implies-{F}(V0,V12,V13), P_implies-{F}(V2,V11,V14), P_implies-{F}(V14,V15,V0), P_implies-{F}(V15,V11,V16), P_implies-{F}(V16,V1,V12), P_implies-{F}(V11,V14,V17), P_implies-{F}(V17,V14,V10), P_implies-{F}(V4,V13,V18), V18 == V0, P_not-{F}(V19,V11), P_implies-{F}(V20,V11,V14), P_not-{F}(V21,V20) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #791: mergings( V41 == V43, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24; #745 ), references = 1, size of lhs = 30:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V5,V1,V3), P_implies-{F}(V6,V7,V5), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V10,V0), P_implies-{F}(V6,V8,V11), P_implies-{F}(V2,V11,V9), P_implies-{F}(V10,V11,V12), P_implies-{F}(V12,V1,V13), P_not-{F}(V11,V13), P_implies-{F}(V11,V1,V13), P_implies-{F}(V11,V9,V14), P_implies-{F}(V14,V9,V15), P_implies-{F}(V0,V13,V16), V4 == V16, P_implies-{F}(V0,V15,V17), P_implies-{F}(V11,V2,V18), P_implies-{F}(V19,V2,V18), P_implies-{F}(V2,V18,V20), P_implies-{F}(V20,V18,V21), P_implies-{F}(V0,V21,V17), P_not-{F}(V22,V11), P_implies-{F}(V23,V11,V9), P_not-{F}(V24,V23) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #815: mergings( V42 == V44, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25; #746 ), references = 1, size of lhs = 30:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V5,V1,V3), P_implies-{F}(V6,V7,V5), P_implies-{F}(V7,V8,V9), P_implies-{F}(V9,V10,V0), P_implies-{F}(V6,V8,V11), P_implies-{F}(V2,V11,V9), P_implies-{F}(V10,V11,V12), P_implies-{F}(V12,V1,V13), P_not-{F}(V11,V13), P_implies-{F}(V11,V1,V13), P_implies-{F}(V11,V9,V14), P_implies-{F}(V14,V9,V15), P_implies-{F}(V0,V13,V16), V4 == V16, P_implies-{F}(V0,V15,V17), P_implies-{F}(V11,V2,V18), P_implies-{F}(V19,V2,V18), P_implies-{F}(V2,V18,V20), P_implies-{F}(V20,V18,V21), P_implies-{F}(V0,V21,V17), P_not-{F}(V22,V11), P_implies-{F}(V23,V11,V9), P_not-{F}(V24,V23) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #856: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V0 == V29, V1 == V27; #832 ), references = 1, size of lhs = 25:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_not-{F}(V2,V2), P_implies-{F}(V2,V1,V2), P_implies-{F}(V2,V3,V0), P_implies-{F}(V0,V2,V4), P_not-{F}(V5,V2), P_implies-{F}(V2,V6,V2), P_implies-{F}(V7,V1,V2), P_implies-{F}(V8,V2,V7), P_implies-{F}(V3,V9,V9), P_implies-{F}(V6,V9,V0), P_implies-{F}(V8,V9,V9), P_not-{F}(V9,V9), P_implies-{F}(V9,V1,V9), P_not-{F}(V10,V9), P_implies-{F}(V0,V9,V11), V4 == V11, P_implies-{F}(V12,V1,V9), P_implies-{F}(V13,V9,V12), P_implies-{F}(V9,V14,V15), P_implies-{F}(V2,V14,V16), P_implies-{F}(V15,V16,V13) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #880: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V0 == V30, V1 == V28; #833 ), references = 1, size of lhs = 25:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V1,V0), P_not-{F}(V2,V2), P_implies-{F}(V2,V1,V2), P_implies-{F}(V2,V3,V0), P_implies-{F}(V0,V2,V4), P_not-{F}(V5,V2), P_implies-{F}(V2,V6,V2), P_implies-{F}(V7,V1,V2), P_implies-{F}(V8,V2,V7), P_implies-{F}(V3,V9,V9), P_implies-{F}(V6,V9,V0), P_implies-{F}(V8,V9,V9), P_not-{F}(V9,V9), P_implies-{F}(V9,V1,V9), P_not-{F}(V10,V9), P_implies-{F}(V0,V9,V11), V4 == V11, P_implies-{F}(V12,V1,V9), P_implies-{F}(V13,V9,V12), P_implies-{F}(V9,V14,V15), P_implies-{F}(V2,V14,V16), P_implies-{F}(V15,V16,V13) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #926: mergings( V9 == V12, V2 == V3, V3 == V4, V4 == V5; #921 ), references = 3, size of lhs = 11:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V2,V3,V5), P_not-{F}(V5,V6), P_implies-{F}(V0,V4,V6), P_implies-{F}(V0,V5,V7), P_implies-{F}(V7,V1,V8), V6 == V8 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #932: mergings( V10 == V12, V3 == V4, V4 == V5, V5 == V6; #927 ), references = 5, size of lhs = 9:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V2,V3,V5), P_not-{F}(V5,V6), P_implies-{F}(V0,V4,V6), P_implies-{F}(V0,V5,V7) | P_implies-{T}(V7,V1,V6)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #959: mergings( V3 == V4, V4 == V5; #955 ), references = 3, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_not-{F}(V6,V5), P_implies-{F}(V2,V5,V7), P_implies-{F}(V8,V5,V7), P_not-{F}(V9,V8), P_big_hat-{F}(V6,V9,V10), V10 == V4 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #962: mergings( V3 == V4, V4 == V5; #956 ), references = 2, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_not-{F}(V6,V5), P_implies-{F}(V2,V5,V7), P_implies-{F}(V8,V5,V7), P_not-{F}(V9,V8), P_big_hat-{F}(V6,V9,V10), V10 == V4 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #967: mergings( V3 == V4, V4 == V5; #963 ), references = 1, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V2,V4,V6), P_implies-{F}(V7,V4,V6), P_not-{F}(V8,V7), P_big_hat-{F}(V5,V8,V9) | P_big_hat-{T}(V1,V3,V9)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #970: mergings( V3 == V4, V4 == V5; #964 ), references = 1, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_implies-{F}(V2,V4,V6), P_implies-{F}(V7,V4,V6), P_not-{F}(V8,V7), P_big_hat-{F}(V5,V8,V9) | P_big_hat-{T}(V1,V3,V9)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #974: exists( #11, #322 ), references = 1, size of lhs = 6:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V5,V2,V6), P_implies-{F}(V6,V2,V7) | P_not-{T}(V7,V4)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1005: mergings( V3 == V4, V4 == V5; #1000 ), references = 1, size of lhs = 17:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V2,V5,V6), P_not-{F}(V7,V8), P_implies-{F}(V0,V8,V9), P_not-{F}(V9,V10), P_not-{F}(V11,V12), P_implies-{F}(V12,V4,V13), P_not-{F}(V14,V13), P_big_hat-{F}(V7,V14,V15), V15 == V10, P_implies-{F}(V16,V11,V8), P_implies-{F}(V17,V18,V16), P_implies-{F}(V18,V19,V6), P_implies-{F}(V17,V19,V5) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1008: mergings( V3 == V4, V4 == V5; #1001 ), references = 1, size of lhs = 17:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V2,V5,V6), P_not-{F}(V7,V8), P_implies-{F}(V0,V8,V9), P_not-{F}(V9,V10), P_not-{F}(V11,V12), P_implies-{F}(V12,V4,V13), P_not-{F}(V14,V13), P_big_hat-{F}(V7,V14,V15), V15 == V10, P_implies-{F}(V16,V11,V8), P_implies-{F}(V17,V18,V16), P_implies-{F}(V18,V19,V6), P_implies-{F}(V17,V19,V5) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1011: mergings( V3 == V4, V4 == V5; #1002 ), references = 1, size of lhs = 17:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V2,V5,V6), P_not-{F}(V7,V8), P_implies-{F}(V0,V8,V9), P_not-{F}(V9,V10), P_not-{F}(V11,V12), P_implies-{F}(V12,V4,V13), P_not-{F}(V14,V13), P_big_hat-{F}(V14,V7,V15), V15 == V10, P_implies-{F}(V16,V11,V8), P_implies-{F}(V17,V18,V16), P_implies-{F}(V18,V19,V6), P_implies-{F}(V17,V19,V5) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1040: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1034 ), references = 5, size of lhs = 11:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V2,V5,V6), P_not-{F}(V5,V7), P_implies-{F}(V5,V6,V8), P_implies-{F}(V8,V6,V9), P_implies-{F}(V7,V4,V10), P_implies-{F}(V10,V9,V11), V11 == V0 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1045: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1035 ), references = 1, size of lhs = 14:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_implies-{F}(V2,V5,V6), P_not-{F}(V5,V7), P_implies-{F}(V5,V6,V8), P_implies-{F}(V8,V6,V9), P_implies-{F}(V4,V7,V10), P_implies-{F}(V10,V7,V11), P_implies-{F}(V9,V4,V12), P_implies-{F}(V12,V11,V13), P_implies-{F}(V0,V13,V14), V14 == V0 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1054: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1048 ), references = 2, size of lhs = 14:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_big_hat-{F}(V1,V3,V4), P_not-{F}(V3,V5), P_big_V-{F}(V2,V5,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V9), P_big_hat-{F}(V8,V7,V10), P_implies-{F}(V9,V6,V11), P_implies-{F}(V6,V11,V12), P_implies-{F}(V12,V11,V13), P_implies-{F}(V4,V10,V14), P_implies-{F}(V14,V13,V15), V15 == V0 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1063: mergings( V3 == V4; #1061 ), references = 1, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V0), P_not-{F}(V2,V1), P_implies-{F}(V2,V3,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V4,V1,V5), P_not-{F}(V6,V7), P_big_V-{F}(V7,V8,V3), P_not-{F}(V9,V8) | P_big_hat-{T}(V6,V9,V5)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1065: exists( #13, #203 ), references = 1, size of lhs = 10:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V7,V3,V8), P_not-{F}(V9,V8), P_implies-{F}(V0,V8,V10), P_not-{F}(V10,V11) | P_big_hat-{T}(V1,V9,V11)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1089: mergings( V3 == V4, V4 == V5; #1086 ), references = 1, size of lhs = 7:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V1,V2,V0), P_implies-{F}(V2,V3,V4), P_implies-{F}(V0,V4,V5), P_implies-{F}(V3,V6,V7), P_implies-{F}(V1,V6,V8), P_implies-{F}(V7,V8,V4) | P_implies-{T}(V1,V3,V5)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1118: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #1103 ), references = 2, size of lhs = 34:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V4,V0), P_implies-{F}(V2,V1,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V0,V6,V7), P_implies-{F}(V7,V5,V0), P_not-{F}(V8,V0), P_not-{F}(V9,V8), P_implies-{F}(V9,V10,V10), P_implies-{F}(V0,V10,V11), P_implies-{F}(V12,V11,V0), P_implies-{F}(V12,V8,V13), P_not-{F}(V14,V13), P_implies-{F}(V10,V14,V15), P_implies-{F}(V0,V15,V5), P_implies-{F}(V0,V13,V16), P_implies-{F}(V17,V11,V0), P_implies-{F}(V17,V8,V18), P_not-{F}(V19,V18), P_implies-{F}(V10,V19,V20), P_implies-{F}(V0,V20,V3), P_implies-{F}(V0,V18,V21), P_implies-{F}(V16,V21,V6), P_implies-{F}(V11,V22,V20), P_implies-{F}(V22,V8,V18), P_implies-{F}(V11,V23,V15), P_implies-{F}(V23,V8,V13), P_not-{F}(V24,V25), P_big_V-{F}(V25,V26,V10), P_not-{F}(V27,V26) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1145: mergings( V31 == V33, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1136 ), references = 1, size of lhs = 38:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V3,V4,V0), P_implies-{F}(V2,V1,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V0,V6,V7), P_implies-{F}(V7,V5,V0), P_not-{F}(V0,V8), P_not-{F}(V8,V0), P_implies-{F}(V0,V9,V5), P_implies-{F}(V0,V10,V3), P_not-{F}(V11,V12), P_implies-{F}(V11,V8,V12), P_implies-{F}(V0,V12,V13), P_implies-{F}(V13,V14,V6), P_implies-{F}(V15,V8,V12), P_implies-{F}(V0,V16,V14), P_implies-{F}(V17,V8,V16), P_not-{F}(V18,V16), P_implies-{F}(V18,V8,V16), P_implies-{F}(V11,V18,V19), P_implies-{F}(V19,V20,V0), P_implies-{F}(V20,V18,V17), P_implies-{F}(V18,V19,V21), P_implies-{F}(V21,V19,V10), P_implies-{F}(V18,V11,V22), P_implies-{F}(V23,V11,V22), P_implies-{F}(V11,V22,V24), P_implies-{F}(V24,V22,V9), P_not-{F}(V25,V18), P_implies-{F}(V26,V18,V19), P_not-{F}(V27,V26), P_implies-{F}(V28,V29,V15), P_implies-{F}(V29,V30,V19), P_implies-{F}(V28,V30,V18) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1161: mergings( V11 == V20, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V15 == V16, V17 == V19; #1150 ), references = 1, size of lhs = 32:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V2,V2,V0), P_not-{F}(V0,V3), P_not-{F}(V3,V0), P_implies-{F}(V2,V4,V0), P_implies-{F}(V4,V1,V1), P_implies-{F}(V1,V3,V5), P_implies-{F}(V0,V5,V5), P_not-{F}(V1,V5), P_not-{F}(V5,V1), P_not-{F}(V2,V6), P_not-{F}(V6,V2), P_implies-{F}(V0,V6,V6), P_implies-{F}(V2,V3,V6), P_implies-{F}(V1,V2,V7), P_implies-{F}(V7,V0,V0), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V2,V9), P_implies-{F}(V9,V3,V6), P_implies-{F}(V2,V7,V10), P_implies-{F}(V10,V7,V11), P_implies-{F}(V0,V11,V7), P_not-{F}(V12,V2), P_implies-{F}(V13,V3,V5), P_implies-{F}(V14,V2,V7), P_not-{F}(V15,V14), P_implies-{F}(V16,V17,V13), P_implies-{F}(V17,V18,V7), P_implies-{F}(V16,V18,V2) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1175: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V13 == V14, V15 == V16; #1165 ), references = 2, size of lhs = 29:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V2,V2,V0), P_not-{F}(V0,V3), P_not-{F}(V3,V0), P_implies-{F}(V2,V4,V0), P_implies-{F}(V4,V1,V1), P_implies-{F}(V1,V3,V5), P_implies-{F}(V0,V5,V5), P_not-{F}(V1,V5), P_not-{F}(V5,V1), P_not-{F}(V2,V6), P_not-{F}(V6,V2), P_implies-{F}(V0,V6,V6), P_implies-{F}(V2,V3,V6), P_implies-{F}(V0,V2,V7), P_implies-{F}(V7,V3,V6), P_not-{F}(V8,V2), P_not-{F}(V9,V1), P_implies-{F}(V1,V10,V0), P_implies-{F}(V10,V2,V2), P_implies-{F}(V11,V2,V2), P_implies-{F}(V11,V1,V12), P_implies-{F}(V12,V3,V5), P_implies-{F}(V2,V13,V14), P_implies-{F}(V1,V13,V15), P_implies-{F}(V14,V15,V0) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1204: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V21 == V22; #1186 ), references = 3, size of lhs = 25:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V2), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V1,V1), P_not-{F}(V1,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V4,V1), P_not-{F}(V5,V1), P_implies-{F}(V1,V6,V0), P_implies-{F}(V6,V2,V2), P_implies-{F}(V7,V2,V2), P_implies-{F}(V7,V1,V8), P_not-{F}(V0,V9), P_not-{F}(V9,V0), P_implies-{F}(V1,V9,V4), P_implies-{F}(V8,V9,V4), P_not-{F}(V10,V9), P_implies-{F}(V10,V2,V2), P_implies-{F}(V2,V11,V12), P_implies-{F}(V1,V11,V13), P_implies-{F}(V12,V13,V0) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1226: mergings( V2 == V3; #1224 ), references = 7, size of lhs = 9:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V2), P_implies-{F}(V0,V3,V2), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V0,V6,V7), P_implies-{F}(V4,V7,V6), P_big_hat-{F}(V1,V5,V8) | P_not-{T}(V7,V8)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1260: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V10 == V14; #1252 ), references = 1, size of lhs = 14:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V0,V0), P_implies-{F}(V2,V4,V3), P_not-{F}(V4,V5), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_not-{F}(V3,V7), P_implies-{F}(V0,V7,V3), P_not-{F}(V8,V9), P_big_V-{F}(V9,V10,V1), P_not-{F}(V11,V10) | P_big_hat-{T}(V8,V11,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1267: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V10 == V12; #1253 ), references = 1, size of lhs = 15:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V1,V0), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_not-{F}(V2,V4), P_implies-{F}(V0,V4,V2), P_not-{F}(V5,V2), P_not-{F}(V6,V5), P_implies-{F}(V7,V6,V2), P_not-{F}(V7,V8), P_not-{F}(V9,V10), P_big_V-{F}(V10,V11,V8), P_not-{F}(V12,V11) | P_big_hat-{T}(V9,V12,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1279: mergings( V12 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V16 == V17, V9 == V10, V17 == V14, V15 == V14; #1254 ), references = 1, size of lhs = 20:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V2,V2), P_implies-{F}(V2,V0,V0), P_not-{F}(V2,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V2), P_implies-{F}(V4,V5,V0), P_not-{F}(V6,V4), P_implies-{F}(V7,V6,V2), P_not-{F}(V7,V8), P_implies-{F}(V5,V8,V1), P_not-{F}(V9,V8), P_implies-{F}(V9,V10,V2), P_not-{F}(V10,V11), P_not-{F}(V11,V2), P_not-{F}(V12,V13), P_big_V-{F}(V13,V14,V8), P_not-{F}(V15,V14) | P_big_hat-{T}(V12,V15,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1298: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V0, V12 == V15, V15 == V19, V20 == V24; #1286 ), references = 1, size of lhs = 28:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_not-{F}(V2,V1), P_y-{F}(V3), P_implies-{F}(V3,V3,V0), P_implies-{F}(V0,V3,V3), P_implies-{F}(V3,V4,V0), P_implies-{F}(V4,V1,V1), P_not-{F}(V1,V5), P_not-{F}(V5,V1), P_implies-{F}(V0,V2,V5), P_implies-{F}(V0,V5,V5), P_not-{F}(V6,V1), P_implies-{F}(V1,V7,V0), P_implies-{F}(V7,V3,V3), P_implies-{F}(V8,V3,V3), P_implies-{F}(V8,V1,V1), P_implies-{F}(V9,V0,V0), P_implies-{F}(V0,V10,V9), P_not-{F}(V10,V11), P_not-{F}(V11,V9), P_not-{F}(V12,V9), P_not-{F}(V9,V13), P_implies-{F}(V0,V13,V9), P_implies-{F}(V3,V14,V15), P_implies-{F}(V1,V14,V16), P_implies-{F}(V15,V16,V0) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1355: mergings( V9 == V10, V3 == V4, V4 == V5, V5 == V6, V10 == V11, V6 == V7, V11 == V13, V7 == V8; #1344 ), references = 1, size of lhs = 22:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V1,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V8,V9,V1), P_not-{F}(V9,V10), P_not-{F}(V10,V1), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V7,V12), P_not-{F}(V13,V12), P_big_hat-{F}(V2,V13,V14), V14 == V3, P_not-{F}(V15,V16), P_big_V-{F}(V16,V17,V7), P_not-{F}(V18,V17) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1364: mergings( V9 == V10, V3 == V4, V4 == V5, V5 == V6, V10 == V11, V6 == V7, V11 == V13, V7 == V8; #1345 ), references = 1, size of lhs = 22:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V1,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V8,V9,V1), P_not-{F}(V9,V10), P_not-{F}(V10,V1), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V7,V12), P_not-{F}(V13,V12), P_big_hat-{F}(V2,V13,V14), V14 == V3, P_not-{F}(V15,V16), P_big_V-{F}(V16,V17,V7), P_not-{F}(V18,V17) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1372: mergings( V9 == V10, V3 == V4, V4 == V5, V5 == V6, V10 == V11, V6 == V7, V7 == V8; #1346 ), references = 1, size of lhs = 25:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V8,V9,V1), P_not-{F}(V9,V10), P_not-{F}(V10,V1), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V7,V12), P_not-{F}(V13,V12), P_big_hat-{F}(V3,V13,V14), P_implies-{F}(V15,V1,V0), P_not-{F}(V16,V15), P_big_hat-{F}(V16,V2,V17), V14 == V17, P_not-{F}(V18,V19), P_big_V-{F}(V19,V20,V7), P_not-{F}(V21,V20) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1384: mergings( V9 == V10, V3 == V4, V4 == V5, V5 == V6, V10 == V11, V6 == V7, V11 == V12, V7 == V8; #1373 ), references = 1, size of lhs = 20:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V1,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V8,V9,V1), P_not-{F}(V9,V10), P_not-{F}(V10,V1), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V7,V12), P_not-{F}(V13,V12), P_not-{F}(V14,V15), P_big_V-{F}(V15,V16,V7), P_not-{F}(V17,V16) | P_big_hat-{T}(V2,V13,V3)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1393: mergings( V9 == V10, V3 == V4, V4 == V5, V5 == V6, V10 == V11, V6 == V7, V11 == V12, V7 == V8; #1374 ), references = 1, size of lhs = 20:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V1,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V8,V9,V1), P_not-{F}(V9,V10), P_not-{F}(V10,V1), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V7,V12), P_not-{F}(V13,V12), P_not-{F}(V14,V15), P_big_V-{F}(V15,V16,V7), P_not-{F}(V17,V16) | P_big_hat-{T}(V2,V13,V3)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1401: mergings( V9 == V10, V3 == V4, V4 == V5, V5 == V6, V10 == V11, V6 == V7, V7 == V8; #1375 ), references = 1, size of lhs = 23:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_implies-{F}(V6,V5,V1), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V8,V9,V1), P_not-{F}(V9,V10), P_not-{F}(V10,V1), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V7,V12), P_not-{F}(V13,V12), P_implies-{F}(V14,V1,V0), P_not-{F}(V15,V14), P_big_hat-{F}(V15,V2,V16), P_not-{F}(V17,V18), P_big_V-{F}(V18,V19,V7), P_not-{F}(V20,V19) | P_big_hat-{T}(V3,V13,V16)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1445: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V16 == V18; #1436 ), references = 1, size of lhs = 19:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_implies-{F}(V4,V0,V0), P_implies-{F}(V2,V5,V4), P_not-{F}(V5,V6), P_not-{F}(V6,V4), P_not-{F}(V4,V7), P_implies-{F}(V0,V7,V8), P_implies-{F}(V8,V0,V0), P_not-{F}(V9,V8), P_implies-{F}(V3,V10,V8), P_not-{F}(V10,V11), P_not-{F}(V11,V8), P_not-{F}(V12,V13), P_big_V-{F}(V13,V14,V1), P_not-{F}(V15,V14) | P_big_hat-{T}(V12,V15,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1453: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V8, V13 == V15; #1437 ), references = 1, size of lhs = 20:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V1,V0), P_implies-{F}(V2,V0,V0), P_not-{F}(V2,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V4,V0,V0), P_not-{F}(V5,V4), P_not-{F}(V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V8,V7,V2), P_not-{F}(V8,V9), P_not-{F}(V10,V9), P_implies-{F}(V10,V11,V4), P_not-{F}(V11,V12), P_not-{F}(V12,V4), P_not-{F}(V13,V14), P_big_V-{F}(V14,V15,V9), P_not-{F}(V16,V15) | P_big_hat-{T}(V13,V16,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1462: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V8, V10 == V11, V14 == V16; #1438 ), references = 1, size of lhs = 20:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V1,V0), P_implies-{F}(V2,V0,V0), P_not-{F}(V2,V3), P_implies-{F}(V0,V3,V4), P_implies-{F}(V4,V0,V0), P_not-{F}(V5,V4), P_not-{F}(V6,V2), P_not-{F}(V7,V6), P_implies-{F}(V8,V7,V2), P_not-{F}(V8,V9), P_not-{F}(V10,V9), P_implies-{F}(V10,V11,V4), P_not-{F}(V11,V12), P_not-{F}(V12,V4), P_not-{F}(V13,V14), P_big_V-{F}(V14,V15,V9), P_not-{F}(V16,V15) | P_big_hat-{T}(V13,V16,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1486: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V0, V23 == V25; #1476 ), references = 2, size of lhs = 35:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V2), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V1,V1), P_not-{F}(V1,V4), P_implies-{F}(V0,V4,V4), P_not-{F}(V4,V1), P_not-{F}(V5,V1), P_implies-{F}(V1,V6,V0), P_implies-{F}(V6,V2,V2), P_implies-{F}(V7,V2,V2), P_implies-{F}(V7,V1,V1), P_not-{F}(V8,V4), P_implies-{F}(V0,V8,V1), P_implies-{F}(V0,V9,V8), P_not-{F}(V9,V10), P_implies-{F}(V0,V10,V4), P_implies-{F}(V11,V0,V0), P_implies-{F}(V0,V12,V11), P_not-{F}(V12,V13), P_not-{F}(V13,V11), P_not-{F}(V11,V14), P_implies-{F}(V0,V14,V15), P_implies-{F}(V15,V0,V0), P_not-{F}(V16,V15), P_implies-{F}(V0,V17,V15), P_not-{F}(V17,V18), P_not-{F}(V18,V15), P_implies-{F}(V2,V19,V20), P_implies-{F}(V1,V19,V21), P_implies-{F}(V20,V21,V0) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1498: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V0, V13 == V15, V14 == V15, V29 == V31; #1477 ), references = 1, size of lhs = 41:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V2), P_not-{F}(V3,V2), P_implies-{F}(V0,V3,V4), P_not-{F}(V2,V4), P_not-{F}(V4,V2), P_implies-{F}(V0,V4,V4), P_implies-{F}(V2,V5,V0), P_implies-{F}(V5,V1,V1), P_not-{F}(V1,V6), P_implies-{F}(V0,V6,V6), P_not-{F}(V6,V1), P_not-{F}(V7,V2), P_not-{F}(V8,V1), P_implies-{F}(V1,V9,V0), P_implies-{F}(V9,V2,V2), P_implies-{F}(V10,V2,V2), P_implies-{F}(V10,V1,V1), P_not-{F}(V11,V6), P_implies-{F}(V0,V11,V1), P_implies-{F}(V0,V12,V11), P_not-{F}(V12,V13), P_implies-{F}(V0,V13,V6), P_implies-{F}(V14,V0,V0), P_implies-{F}(V0,V15,V14), P_not-{F}(V15,V16), P_not-{F}(V16,V14), P_not-{F}(V14,V17), P_implies-{F}(V0,V17,V18), P_implies-{F}(V18,V0,V0), P_not-{F}(V19,V18), P_implies-{F}(V0,V20,V18), P_not-{F}(V20,V21), P_not-{F}(V21,V18), P_implies-{F}(V2,V22,V23), P_implies-{F}(V1,V22,V24), P_implies-{F}(V23,V24,V0) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1508: mergings( V3 == V4; #1505 ), references = 1, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V2,V2), P_not-{F}(V2,V4), P_implies-{F}(V5,V3,V0), P_not-{F}(V6,V5), P_big_hat-{F}(V6,V1,V7), P_implies-{F}(V4,V7,V0) | P_implies-{T}(V5,V2,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1510: mergings( V3 == V4; #1506 ), references = 1, size of lhs = 11:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V2,V2), P_implies-{F}(V4,V3,V0), P_not-{F}(V5,V4), P_big_hat-{F}(V5,V1,V6), P_implies-{F}(V7,V6,V0), P_not-{F}(V8,V9), P_big_hat-{F}(V8,V10,V7), P_not-{F}(V10,V11), P_big_V-{F}(V9,V11,V2) | P_implies-{T}(V4,V2,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1548: exists( #9, #959 ), references = 1, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_big_hat-{F}(V1,V4,V5), P_not-{F}(V4,V6), P_not-{F}(V7,V6), P_big_hat-{F}(V7,V3,V8), V8 == V5 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1549: exists( #9, #962 ), references = 1, size of lhs = 8:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_big_hat-{F}(V1,V4,V5), P_not-{F}(V4,V6), P_not-{F}(V7,V6), P_big_hat-{F}(V7,V3,V8), V8 == V5 | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1552: exists( #13, #1546 ), references = 1, size of lhs = 6:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_big_hat-{F}(V1,V4,V5), P_not-{F}(V4,V6), P_not-{F}(V7,V6) | P_big_hat-{T}(V7,V3,V5)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1600: mergings( V3 == V4, V4 == V5; #1597 ), references = 1, size of lhs = 7:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V3,V1,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V2,V7,V5), P_implies-{F}(V7,V4,V0) | P_implies-{T}(V2,V4,V6)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1633: mergings( V3 == V4, V4 == V5; #1630 ), references = 4, size of lhs = 7:
% 90.01/90.21 P_truth-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V2,V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V4,V1,V6), P_implies-{F}(V3,V5,V6), P_implies-{F}(V0,V6,V7) | P_implies-{T}(V2,V5,V7)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1671: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V9 == V10, V11 == V13; #1661 ), references = 1, size of lhs = 14:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_not-{F}(V4,V2), P_implies-{F}(V4,V1,V5), P_implies-{F}(V0,V2,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V6,V2,V0), P_not-{F}(V7,V8), P_big_V-{F}(V8,V9,V1), P_not-{F}(V10,V9) | P_big_hat-{T}(V7,V10,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1680: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V10 == V11, V12 == V14; #1662 ), references = 1, size of lhs = 15:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_not-{F}(V4,V2), P_implies-{F}(V0,V2,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V6,V2,V0), P_implies-{F}(V4,V7,V5), P_not-{F}(V8,V9), P_big_V-{F}(V9,V10,V7), P_not-{F}(V11,V10) | P_big_hat-{T}(V8,V11,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1690: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V10 == V11, V11 == V18, V12 == V14; #1663 ), references = 1, size of lhs = 15:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V1,V0), P_implies-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V0), P_not-{F}(V3,V2), P_not-{F}(V4,V2), P_implies-{F}(V0,V2,V5), P_implies-{F}(V0,V5,V6), P_implies-{F}(V6,V2,V0), P_implies-{F}(V4,V7,V5), P_not-{F}(V8,V9), P_big_V-{F}(V9,V10,V7), P_not-{F}(V11,V10) | P_big_hat-{T}(V8,V11,V0)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1707: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V0; #1699 ), references = 1, size of lhs = 17:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_not-{F}(V1,V2), P_implies-{F}(V0,V1,V3), P_not-{F}(V3,V4), P_implies-{F}(V0,V2,V4), P_implies-{F}(V0,V3,V5), P_not-{F}(V6,V4), P_implies-{F}(V0,V6,V7), P_implies-{F}(V0,V5,V7), P_implies-{F}(V0,V7,V8), P_implies-{F}(V0,V9,V4), P_implies-{F}(V0,V10,V9), P_not-{F}(V10,V11), P_not-{F}(V9,V12), V12 == V8, P_implies-{F}(V0,V11,V12) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1720: mergings( V12 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #1710 ), references = 2, size of lhs = 15:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_implies-{F}(V0,V1,V1), P_not-{F}(V2,V1), P_implies-{F}(V0,V2,V3), P_implies-{F}(V0,V3,V4), P_not-{F}(V5,V1), P_implies-{F}(V0,V6,V5), P_not-{F}(V6,V7), P_implies-{F}(V0,V7,V1), P_implies-{F}(V0,V5,V8), P_implies-{F}(V0,V8,V3), P_not-{F}(V9,V10), P_big_V-{F}(V10,V11,V1), P_not-{F}(V12,V11) | P_big_hat-{T}(V9,V12,V4)
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1736: mergings( V0 == V9, V9 == V10, V2 == V3, V3 == V4; #1731 ), references = 1, size of lhs = 17:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V1,V0,V0), P_implies-{F}(V0,V1,V1), P_y-{F}(V2), P_implies-{F}(V2,V2,V0), P_implies-{F}(V0,V2,V2), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V1,V1), P_implies-{F}(V1,V4,V0), P_implies-{F}(V4,V2,V2), P_implies-{F}(V5,V2,V2), P_implies-{F}(V5,V1,V1), P_implies-{F}(V2,V6,V7), P_implies-{F}(V1,V6,V8), P_implies-{F}(V7,V8,V0) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1746: mergings( V3 == V7, V4 == V5, V5 == V6, V1 == V2, V2 == V7; #1740 ), references = 2, size of lhs = 5:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0), P_x-{F}(V1), P_implies-{F}(V0,V1,V1), P_implies-{F}(V1,V0,V0) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1751: exists( #14, #1749 ), references = 1, size of lhs = 2:
% 90.01/90.21 P_truth-{F}(V0), P_implies-{F}(V0,V0,V0) | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 #1754: exists( #10, #1752 ), references = 1, size of lhs = 0:
% 90.01/90.21 FALSE | FALSE
% 90.01/90.21 (used 0 times, uses = {})
% 90.01/90.21
% 90.01/90.21 number of learnt formulas = 107
% 90.01/90.21
% 90.01/90.21
% 90.01/90.21 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.01/90.21
% 90.01/90.21 randbase = 1
%------------------------------------------------------------------------------