TSTP Solution File: NUM021-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM021-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:11:59 EDT 2022
% Result : Unsatisfiable 5.14s 5.32s
% Output : Refutation 5.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM021-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 23:19:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 5.14/5.32 GeoParameters:
% 5.14/5.32
% 5.14/5.32 tptp_input = 1
% 5.14/5.32 tptp_output = 0
% 5.14/5.32 nonempty = 1
% 5.14/5.32 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.14/5.32 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.14/5.32
% 5.14/5.32
% 5.14/5.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.14/5.32 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.14/5.32
% 5.14/5.32 RuleSystem INPUT:
% 5.14/5.32
% 5.14/5.32 Initial Rules:
% 5.14/5.32 #0: input, references = 14, size of lhs = 2:
% 5.14/5.32 P_n0-{F}(V0), P_add-{F}(V1,V0,V2) | equalish-{T}(V2,V1)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1: input, references = 24, size of lhs = 5:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_add-{F}(V1,V2,V5), P_successor-{F}(V5,V6) | equalish-{T}(V4,V6)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #2: input, references = 3, size of lhs = 2:
% 5.14/5.32 P_n0-{F}(V0), P_multiply-{F}(V1,V0,V2) | equalish-{T}(V2,V0)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #3: input, references = 13, size of lhs = 5:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V2,V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V1,V2,V5), P_add-{F}(V5,V1,V6) | equalish-{T}(V4,V6)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #4: input, references = 23, size of lhs = 4:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V1,V3), P_successor-{F}(V2,V4), equalish-{F}(V3,V4) | equalish-{T}(V1,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #5: input, references = 6, size of lhs = 4:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V1,V3), P_successor-{F}(V2,V4), equalish-{F}(V1,V2) | equalish-{T}(V3,V4)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #6: input, references = 7, size of lhs = 3:
% 5.14/5.32 P_n0-{F}(V0), less-{F}(V3,V1), less-{F}(V2,V3) | less-{T}(V2,V1)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #7: input, references = 13, size of lhs = 4:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V3,V4), P_add-{F}(V4,V1,V5), equalish-{F}(V5,V2) | less-{T}(V1,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #8: input, references = 9, size of lhs = 5:
% 5.14/5.32 P_n0-{F}(V0), P_predecessor_of_1st_minus_2nd-{F}(V2,V1,V3), P_successor-{F}(V3,V4), P_add-{F}(V4,V1,V5), less-{F}(V1,V2) | equalish-{T}(V5,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #9: input, references = 5, size of lhs = 2:
% 5.14/5.32 P_n0-{F}(V0), divides-{F}(V1,V2) | less-{T}(V1,V2), equalish-{T}(V1,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #10: input, references = 3, size of lhs = 2:
% 5.14/5.32 P_n0-{F}(V0), less-{F}(V1,V2) | divides-{T}(V1,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #11: input, references = 3, size of lhs = 2:
% 5.14/5.32 P_n0-{F}(V0), equalish-{F}(V1,V2) | divides-{T}(V1,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #12: input, references = 4, size of lhs = 2:
% 5.14/5.32 P_n0-{F}(V0), #-{F} V1 | equalish-{T}(V1,V1)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #13: input, references = 30, size of lhs = 2:
% 5.14/5.32 P_n0-{F}(V0), equalish-{F}(V1,V2) | equalish-{T}(V2,V1)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #14: input, references = 34, size of lhs = 3:
% 5.14/5.32 P_n0-{F}(V0), equalish-{F}(V1,V2), equalish-{F}(V3,V1) | equalish-{T}(V3,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #15: input, references = 5, size of lhs = 3:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | less-{T}(V1,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #16: input, references = 10, size of lhs = 5:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), less-{F}(V1,V3) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #17: input, references = 5, size of lhs = 4:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3) | divides-{T}(V2,V3)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #18: input, references = 10, size of lhs = 6:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_successor-{F}(V4,V5), equalish-{F}(V5,V0) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #19: input, references = 18, size of lhs = 2:
% 5.14/5.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #20: input, references = 4, size of lhs = 0:
% 5.14/5.32 FALSE | EXISTS V0: P_n0-{T}(V0)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #21: input, references = 14, size of lhs = 1:
% 5.14/5.32 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #22: input, references = 6, size of lhs = 2:
% 5.14/5.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #23: input, references = 6, size of lhs = 2:
% 5.14/5.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_predecessor_of_1st_minus_2nd-{T}(V0,V1,V2)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #24: input, references = 4, size of lhs = 0:
% 5.14/5.32 FALSE | EXISTS V0: P_b-{T}(V0)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #25: input, references = 5, size of lhs = 0:
% 5.14/5.32 FALSE | EXISTS V0: P_c-{T}(V0)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #26: input, references = 5, size of lhs = 0:
% 5.14/5.32 FALSE | EXISTS V0: P_a-{T}(V0)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 number of initial rules = 27
% 5.14/5.32
% 5.14/5.32 Simplifiers:
% 5.14/5.32 #27: unsound, references = 3, size of lhs = 3:
% 5.14/5.32 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #28: unsound, references = 3, size of lhs = 3:
% 5.14/5.32 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #29: unsound, references = 3, size of lhs = 3:
% 5.14/5.32 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #30: unsound, references = 3, size of lhs = 3:
% 5.14/5.32 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #31: unsound, references = 3, size of lhs = 3:
% 5.14/5.32 P_predecessor_of_1st_minus_2nd-{F}(V0,V1,V2), P_predecessor_of_1st_minus_2nd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #32: unsound, references = 3, size of lhs = 3:
% 5.14/5.32 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #33: unsound, references = 3, size of lhs = 3:
% 5.14/5.32 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #34: unsound, references = 3, size of lhs = 3:
% 5.14/5.32 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 number of simplifiers = 8
% 5.14/5.32
% 5.14/5.32 Learnt:
% 5.14/5.32 #57: mergings( V1 == V3, V3 == V4; #54 ), references = 1, size of lhs = 5:
% 5.14/5.32 P_b-{F}(V0), P_n0-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), P_successor-{F}(V3,V2) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #84: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #79 ), references = 1, size of lhs = 9:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_multiply-{F}(V0,V4,V3), P_successor-{F}(V4,V5), P_multiply-{F}(V0,V5,V6), P_add-{F}(V7,V1,V6), P_successor-{F}(V8,V7) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #102: mergings( V0 == V3, V3 == V4, V4 == V5; #98 ), references = 1, size of lhs = 8:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), less-{F}(V1,V2), P_a-{F}(V3), P_c-{F}(V4), divides-{F}(V5,V3), P_add-{F}(V6,V2,V5), P_successor-{F}(V7,V6) | less-{T}(V5,V3)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #137: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #131 ), references = 4, size of lhs = 9:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), less-{F}(V0,V4), equalish-{F}(V4,V0), P_predecessor_of_1st_minus_2nd-{F}(V4,V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V7,V6) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #139: exists( #21, #137 ), references = 5, size of lhs = 7:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), less-{F}(V0,V4), equalish-{F}(V4,V0), P_predecessor_of_1st_minus_2nd-{F}(V4,V0,V5) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #141: exists( #23, #138 ), references = 8, size of lhs = 6:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), less-{F}(V0,V4), equalish-{F}(V4,V0) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #159: mergings( V0 == V3, V3 == V4; #155 ), references = 2, size of lhs = 6:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), less-{F}(V1,V2), divides-{F}(V2,V3), P_a-{F}(V3), P_c-{F}(V4) | equalish-{T}(V2,V3)
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #214: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #205 ), references = 1, size of lhs = 13:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V7,V1), P_successor-{F}(V8,V6), P_successor-{F}(V9,V10), P_add-{F}(V11,V9,V7), P_successor-{F}(V12,V10), P_add-{F}(V11,V12,V8) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #221: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #206 ), references = 1, size of lhs = 14:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V7), P_successor-{F}(V8,V1), P_successor-{F}(V9,V6), P_successor-{F}(V10,V11), P_add-{F}(V12,V10,V8), P_successor-{F}(V13,V11), P_add-{F}(V12,V13,V9) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #276: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #271 ), references = 1, size of lhs = 11:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_successor-{F}(V4,V5), P_successor-{F}(V6,V5), P_multiply-{F}(V7,V4,V8), P_add-{F}(V8,V7,V9), P_successor-{F}(V10,V9), P_multiply-{F}(V7,V6,V11), P_add-{F}(V11,V7,V0) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #327: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #320 ), references = 1, size of lhs = 13:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_successor-{F}(V5,V1), P_successor-{F}(V6,V7), P_add-{F}(V8,V6,V5), P_successor-{F}(V9,V7), P_add-{F}(V8,V9,V10), P_successor-{F}(V10,V11), P_successor-{F}(V12,V11), P_successor-{F}(V13,V12) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #335: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #328 ), references = 1, size of lhs = 11:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_successor-{F}(V5,V1), P_successor-{F}(V6,V7), P_add-{F}(V8,V6,V5), P_successor-{F}(V9,V7), P_add-{F}(V8,V9,V10), P_successor-{F}(V11,V10) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #429: mergings( V3 == V4, V4 == V1; #426 ), references = 1, size of lhs = 7:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), equalish-{F}(V4,V0), less-{F}(V5,V4), P_successor-{F}(V6,V5) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #461: mergings( V1 == V3, V3 == V4, V4 == V5; #457 ), references = 1, size of lhs = 6:
% 5.14/5.32 P_b-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), less-{F}(V3,V1), P_successor-{F}(V4,V3) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #520: mergings( V2 == V3, V3 == V4, V4 == V5; #514 ), references = 1, size of lhs = 11:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_successor-{F}(V8,V9), P_add-{F}(V10,V9,V7), P_add-{F}(V10,V8,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #524: mergings( V2 == V3, V3 == V4, V4 == V5; #515 ), references = 1, size of lhs = 12:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V8), P_successor-{F}(V9,V10), P_add-{F}(V11,V10,V7), P_add-{F}(V11,V9,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #528: mergings( V2 == V3, V3 == V4, V4 == V5; #516 ), references = 1, size of lhs = 14:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V8), P_successor-{F}(V8,V9), P_successor-{F}(V10,V9), P_successor-{F}(V11,V12), P_add-{F}(V13,V12,V7), P_add-{F}(V13,V11,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #592: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #585 ), references = 2, size of lhs = 12:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), equalish-{F}(V7,V8), P_successor-{F}(V9,V10), P_add-{F}(V11,V10,V8), P_add-{F}(V11,V9,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #597: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #586 ), references = 2, size of lhs = 13:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), equalish-{F}(V7,V8), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V9), P_successor-{F}(V10,V11), P_add-{F}(V12,V11,V8), P_add-{F}(V12,V10,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #602: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #587 ), references = 2, size of lhs = 15:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), equalish-{F}(V7,V8), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V9), P_successor-{F}(V9,V10), P_successor-{F}(V11,V10), P_successor-{F}(V12,V13), P_add-{F}(V14,V13,V8), P_add-{F}(V14,V12,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #618: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #609 ), references = 1, size of lhs = 13:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_successor-{F}(V8,V7), P_successor-{F}(V9,V10), P_add-{F}(V11,V9,V8), P_successor-{F}(V12,V10), P_add-{F}(V11,V12,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #625: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #610 ), references = 1, size of lhs = 14:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V8), P_successor-{F}(V9,V7), P_successor-{F}(V10,V11), P_add-{F}(V12,V10,V9), P_successor-{F}(V13,V11), P_add-{F}(V12,V13,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #632: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #611 ), references = 1, size of lhs = 16:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V8), P_successor-{F}(V8,V9), P_successor-{F}(V10,V9), P_successor-{F}(V11,V7), P_successor-{F}(V12,V13), P_add-{F}(V14,V12,V11), P_successor-{F}(V15,V13), P_add-{F}(V14,V15,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #642: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #633 ), references = 1, size of lhs = 11:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V7,V8), P_add-{F}(V9,V7,V6), P_successor-{F}(V10,V8), P_add-{F}(V9,V10,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #649: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #634 ), references = 1, size of lhs = 12:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V7), P_successor-{F}(V8,V9), P_add-{F}(V10,V8,V6), P_successor-{F}(V11,V9), P_add-{F}(V10,V11,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #656: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #635 ), references = 1, size of lhs = 12:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V6), P_successor-{F}(V7,V8), P_add-{F}(V9,V7,V6), P_successor-{F}(V10,V8), P_add-{F}(V9,V10,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #751: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #744 ), references = 1, size of lhs = 12:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_successor-{F}(V4,V5), P_successor-{F}(V6,V5), P_multiply-{F}(V7,V4,V8), P_add-{F}(V8,V7,V0), P_multiply-{F}(V7,V6,V9), P_add-{F}(V9,V7,V10), equalish-{F}(V10,V11), P_successor-{F}(V12,V11) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #757: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #745 ), references = 1, size of lhs = 12:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), less-{F}(V0,V4), equalish-{F}(V5,V4), P_successor-{F}(V6,V7), P_successor-{F}(V8,V7), P_multiply-{F}(V9,V6,V10), P_add-{F}(V10,V9,V0), P_multiply-{F}(V9,V8,V11), P_add-{F}(V11,V9,V5) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #769: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #761 ), references = 1, size of lhs = 10:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_add-{F}(V4,V0,V0), P_multiply-{F}(V0,V5,V4), P_successor-{F}(V5,V6), P_successor-{F}(V7,V6), P_multiply-{F}(V0,V7,V8), P_successor-{F}(V9,V8) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #777: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V1; #762 ), references = 1, size of lhs = 10:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_add-{F}(V4,V0,V0), P_multiply-{F}(V0,V5,V4), P_successor-{F}(V5,V6), P_successor-{F}(V7,V6), P_multiply-{F}(V0,V7,V8), P_successor-{F}(V9,V8) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #974: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #969 ), references = 2, size of lhs = 7:
% 5.14/5.32 P_b-{F}(V0), P_n0-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), equalish-{F}(V3,V2), equalish-{F}(V4,V3), P_successor-{F}(V5,V4) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1025: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #1020 ), references = 2, size of lhs = 9:
% 5.14/5.32 P_b-{F}(V0), P_n0-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), less-{F}(V0,V3), equalish-{F}(V3,V2), P_predecessor_of_1st_minus_2nd-{F}(V3,V0,V4), P_successor-{F}(V4,V5), P_successor-{F}(V6,V5) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1027: exists( #21, #1025 ), references = 1, size of lhs = 7:
% 5.14/5.32 P_b-{F}(V0), P_n0-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), less-{F}(V0,V3), equalish-{F}(V3,V2), P_predecessor_of_1st_minus_2nd-{F}(V3,V0,V4) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1029: exists( #23, #1026 ), references = 1, size of lhs = 6:
% 5.14/5.32 P_b-{F}(V0), P_n0-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), less-{F}(V0,V3), equalish-{F}(V3,V2) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1041: mergings( V1 == V4, V4 == V5, V5 == V6, V6 == V9, V2 == V7, V7 == V9, V3 == V8, V8 == V10; #1032 ), references = 1, size of lhs = 4:
% 5.14/5.32 P_b-{F}(V0), P_n0-{F}(V0), less-{F}(V0,V1), P_c-{F}(V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1050: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V3 == V7; #1043 ), references = 1, size of lhs = 2:
% 5.14/5.32 P_b-{F}(V0), P_n0-{F}(V0) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1080: mergings( V2 == V3, V3 == V4, V4 == V5; #1076 ), references = 3, size of lhs = 8:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), equalish-{F}(V4,V0), P_successor-{F}(V5,V6), P_add-{F}(V7,V6,V4), P_add-{F}(V7,V5,V8) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1086: mergings( V3 == V4, V4 == V5; #1083 ), references = 1, size of lhs = 8:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_successor-{F}(V4,V4), P_multiply-{F}(V4,V5,V0), P_successor-{F}(V6,V5), P_multiply-{F}(V4,V6,V7) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1120: mergings( V2 == V3, V3 == V4, V4 == V5; #1115 ), references = 1, size of lhs = 9:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_successor-{F}(V5,V6), P_add-{F}(V7,V6,V1), P_add-{F}(V7,V5,V8), P_successor-{F}(V9,V8) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1124: mergings( V2 == V3, V3 == V4, V4 == V5; #1116 ), references = 1, size of lhs = 11:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_successor-{F}(V5,V6), P_add-{F}(V7,V6,V1), P_add-{F}(V7,V5,V8), P_successor-{F}(V9,V10), P_add-{F}(V11,V10,V8), P_add-{F}(V11,V9,V12) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1215: mergings( V1 == 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; #1201 ), references = 1, size of lhs = 13:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), equalish-{F}(V4,V0), P_successor-{F}(V4,V5), less-{F}(V0,V6), P_successor-{F}(V6,V6), P_predecessor_of_1st_minus_2nd-{F}(V6,V0,V7), P_successor-{F}(V7,V5), equalish-{F}(V6,V8), P_add-{F}(V9,V0,V8), P_successor-{F}(V10,V9) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1221: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1199 ), references = 1, size of lhs = 10:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V6), P_successor-{F}(V6,V1), P_successor-{F}(V7,V5), P_successor-{F}(V8,V7) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1227: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1200 ), references = 1, size of lhs = 11:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), less-{F}(V0,V6), P_predecessor_of_1st_minus_2nd-{F}(V6,V0,V7), P_successor-{F}(V7,V1), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V8) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1242: 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; #1228 ), references = 1, size of lhs = 11:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), less-{F}(V0,V4), P_successor-{F}(V4,V4), P_predecessor_of_1st_minus_2nd-{F}(V4,V0,V5), equalish-{F}(V5,V0), equalish-{F}(V4,V6), P_add-{F}(V7,V0,V6), P_successor-{F}(V8,V7) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1322: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1316 ), references = 1, size of lhs = 13:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), equalish-{F}(V4,V0), P_successor-{F}(V5,V6), P_successor-{F}(V7,V6), P_multiply-{F}(V8,V5,V9), P_add-{F}(V9,V8,V4), P_multiply-{F}(V8,V7,V10), P_add-{F}(V10,V8,V11), P_add-{F}(V12,V0,V11), P_successor-{F}(V13,V12) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1433: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1426 ), references = 1, size of lhs = 16:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_successor-{F}(V8,V7), equalish-{F}(V8,V9), P_successor-{F}(V10,V11), P_add-{F}(V12,V10,V9), P_add-{F}(V12,V11,V13), P_successor-{F}(V14,V15), P_add-{F}(V16,V15,V13), P_add-{F}(V16,V14,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1438: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1427 ), references = 1, size of lhs = 17:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_successor-{F}(V8,V7), equalish-{F}(V8,V9), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V10), P_successor-{F}(V11,V12), P_add-{F}(V13,V11,V9), P_add-{F}(V13,V12,V14), P_successor-{F}(V15,V16), P_add-{F}(V17,V16,V14), P_add-{F}(V17,V15,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1443: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1428 ), references = 1, size of lhs = 17:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_successor-{F}(V8,V7), equalish-{F}(V8,V9), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V9), P_successor-{F}(V10,V11), P_add-{F}(V12,V10,V9), P_add-{F}(V12,V11,V13), P_successor-{F}(V14,V15), P_add-{F}(V16,V15,V13), P_add-{F}(V16,V14,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1451: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1444 ), references = 1, size of lhs = 14:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_successor-{F}(V8,V7), equalish-{F}(V8,V9), P_successor-{F}(V10,V11), P_add-{F}(V12,V10,V9), P_successor-{F}(V13,V11), P_add-{F}(V12,V13,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1456: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1445 ), references = 1, size of lhs = 15:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_successor-{F}(V8,V7), equalish-{F}(V8,V9), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V10), P_successor-{F}(V11,V12), P_add-{F}(V13,V11,V9), P_successor-{F}(V14,V12), P_add-{F}(V13,V14,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1461: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1446 ), references = 1, size of lhs = 15:
% 5.14/5.32 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), less-{F}(V0,V5), P_successor-{F}(V5,V6), P_successor-{F}(V6,V7), P_successor-{F}(V8,V7), equalish-{F}(V8,V9), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V9), P_successor-{F}(V10,V11), P_add-{F}(V12,V10,V9), P_successor-{F}(V13,V11), P_add-{F}(V12,V13,V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1571: mergings( V3 == V4, V4 == V5, V5 == V6; #1567 ), references = 2, size of lhs = 9:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), less-{F}(V1,V4), equalish-{F}(V4,V3), P_predecessor_of_1st_minus_2nd-{F}(V4,V1,V5), P_successor-{F}(V5,V6), P_successor-{F}(V7,V6) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1573: exists( #21, #1571 ), references = 1, size of lhs = 7:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), less-{F}(V1,V4), equalish-{F}(V4,V3), P_predecessor_of_1st_minus_2nd-{F}(V4,V1,V5) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1575: exists( #23, #1572 ), references = 1, size of lhs = 6:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), less-{F}(V1,V4), equalish-{F}(V4,V3) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1585: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V9; #1578 ), references = 1, size of lhs = 4:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1), less-{F}(V1,V2), P_c-{F}(V2) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1592: mergings( V1 == V2, V2 == V4, V4 == V5, V3 == V6; #1587 ), references = 1, size of lhs = 2:
% 5.14/5.32 P_n0-{F}(V0), P_b-{F}(V1) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1597: mergings( V1 == V2, V2 == V3, V3 == V4; #1593 ), references = 1, size of lhs = 1:
% 5.14/5.32 P_n0-{F}(V0) | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 #1599: exists( #20, #1593 ), references = 1, size of lhs = 0:
% 5.14/5.32 FALSE | FALSE
% 5.14/5.32 (used 0 times, uses = {})
% 5.14/5.32
% 5.14/5.32 number of learnt formulas = 58
% 5.14/5.32
% 5.14/5.32
% 5.14/5.32 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.14/5.32
% 5.14/5.32 randbase = 1
%------------------------------------------------------------------------------