TSTP Solution File: NUM024-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM024-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 3.02s 3.20s
% Output : Refutation 3.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM024-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n011.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 23:30:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.02/3.20 GeoParameters:
% 3.02/3.20
% 3.02/3.20 tptp_input = 1
% 3.02/3.20 tptp_output = 0
% 3.02/3.20 nonempty = 1
% 3.02/3.20 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.02/3.20 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.02/3.20
% 3.02/3.20
% 3.02/3.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.02/3.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.02/3.20
% 3.02/3.20 RuleSystem INPUT:
% 3.02/3.20
% 3.02/3.20 Initial Rules:
% 3.02/3.20 #0: input, references = 7, size of lhs = 2:
% 3.02/3.20 P_n0-{F}(V0), P_add-{F}(V1,V0,V2) | equalish-{T}(V2,V1)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #1: input, references = 4, size of lhs = 5:
% 3.02/3.20 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)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #2: input, references = 4, size of lhs = 2:
% 3.02/3.20 P_n0-{F}(V0), P_multiply-{F}(V1,V0,V2) | equalish-{T}(V2,V0)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #3: input, references = 19, size of lhs = 5:
% 3.02/3.20 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)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #4: input, references = 6, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), P_successor-{F}(V1,V3), P_successor-{F}(V2,V4), equalish-{F}(V3,V4) | equalish-{T}(V1,V2)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #5: input, references = 4, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), P_successor-{F}(V1,V3), P_successor-{F}(V2,V4), equalish-{F}(V1,V2) | equalish-{T}(V3,V4)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #6: input, references = 3, size of lhs = 3:
% 3.02/3.20 P_n0-{F}(V0), less-{F}(V3,V1), less-{F}(V2,V3) | less-{T}(V2,V1)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #7: input, references = 3, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), P_successor-{F}(V3,V4), P_add-{F}(V4,V1,V5), equalish-{F}(V5,V2) | less-{T}(V1,V2)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #8: input, references = 9, size of lhs = 5:
% 3.02/3.20 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)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #9: input, references = 4, size of lhs = 2:
% 3.02/3.20 P_n0-{F}(V0), #-{F} V1 | equalish-{T}(V1,V1)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #10: input, references = 22, size of lhs = 2:
% 3.02/3.20 P_n0-{F}(V0), equalish-{F}(V1,V2) | equalish-{T}(V2,V1)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #11: input, references = 27, size of lhs = 3:
% 3.02/3.20 P_n0-{F}(V0), equalish-{F}(V1,V2), equalish-{F}(V3,V1) | equalish-{T}(V3,V2)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #12: input, references = 12, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), P_add-{F}(V1,V3,V4), P_add-{F}(V2,V3,V5), equalish-{F}(V4,V5) | equalish-{T}(V1,V2)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #13: input, references = 10, size of lhs = 3:
% 3.02/3.20 P_n0-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V2,V1,V4) | equalish-{T}(V3,V4)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #14: input, references = 4, size of lhs = 2:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1) | less-{T}(V1,V1)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #15: input, references = 10, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), equalish-{F}(V3,V0) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #16: input, references = 26, size of lhs = 2:
% 3.02/3.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #17: input, references = 4, size of lhs = 0:
% 3.02/3.20 FALSE | EXISTS V0: P_n0-{T}(V0)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #18: input, references = 8, size of lhs = 1:
% 3.02/3.20 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #19: input, references = 10, size of lhs = 2:
% 3.02/3.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #20: input, references = 6, size of lhs = 2:
% 3.02/3.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_predecessor_of_1st_minus_2nd-{T}(V0,V1,V2)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #21: input, references = 4, size of lhs = 0:
% 3.02/3.20 FALSE | EXISTS V0: P_a-{T}(V0)
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 number of initial rules = 22
% 3.02/3.20
% 3.02/3.20 Simplifiers:
% 3.02/3.20 #22: unsound, references = 3, size of lhs = 3:
% 3.02/3.20 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #23: unsound, references = 3, size of lhs = 3:
% 3.02/3.20 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #24: unsound, references = 3, size of lhs = 3:
% 3.02/3.20 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #25: unsound, references = 3, size of lhs = 3:
% 3.02/3.20 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #26: unsound, references = 3, size of lhs = 3:
% 3.02/3.20 P_predecessor_of_1st_minus_2nd-{F}(V0,V1,V2), P_predecessor_of_1st_minus_2nd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #27: unsound, references = 3, size of lhs = 3:
% 3.02/3.20 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 number of simplifiers = 6
% 3.02/3.20
% 3.02/3.20 Learnt:
% 3.02/3.20 #46: mergings( V3 == V4, V4 == V5, V5 == V0; #42 ), references = 5, size of lhs = 6:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_add-{F}(V2,V0,V3), equalish-{F}(V4,V3), P_add-{F}(V5,V2,V4), P_successor-{F}(V6,V5) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #54: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V1; #49 ), references = 1, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_add-{F}(V3,V4,V4) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #62: mergings( V3 == V4, V4 == V1; #59 ), references = 9, size of lhs = 5:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), equalish-{F}(V2,V3), P_add-{F}(V4,V2,V3), P_successor-{F}(V5,V4) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #80: mergings( V2 == V3, V3 == V4, V4 == V5; #76 ), references = 3, size of lhs = 6:
% 3.02/3.20 P_n0-{F}(V0), equalish-{F}(V0,V1), P_a-{F}(V2), P_successor-{F}(V3,V4), P_add-{F}(V5,V4,V1), P_add-{F}(V5,V3,V6) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #94: mergings( V3 == V4; #92 ), references = 1, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_add-{F}(V4,V3,V4) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #101: mergings( V3 == V4, V4 == V5; #98 ), references = 1, size of lhs = 8:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_add-{F}(V7,V4,V5), P_add-{F}(V8,V7,V6), P_successor-{F}(V9,V8) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #126: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #121 ), references = 1, size of lhs = 5:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V2), equalish-{F}(V3,V0), P_add-{F}(V2,V4,V3) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #164: mergings( V3 == V4, V4 == V5, V5 == V6; #160 ), references = 2, size of lhs = 9:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), equalish-{F}(V7,V5), P_add-{F}(V8,V4,V7), P_add-{F}(V9,V8,V6), P_successor-{F}(V10,V9) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #173: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #167 ), references = 1, size of lhs = 8:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_add-{F}(V4,V7,V5), P_add-{F}(V8,V7,V6), P_successor-{F}(V9,V8) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #209: mergings( V3 == V4, V4 == V5, V5 == V6; #205 ), references = 1, size of lhs = 8:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_add-{F}(V4,V6,V7), P_add-{F}(V8,V5,V7), P_successor-{F}(V9,V8) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #214: mergings( V3 == V4, V4 == V5, V5 == V6; #210 ), references = 1, size of lhs = 6:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_successor-{F}(V4,V5), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V2,V6) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #219: mergings( V3 == V4, V4 == V5, V5 == V6; #215 ), references = 1, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V2), P_successor-{F}(V3,V4) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #229: mergings( V3 == V4; #227 ), references = 2, size of lhs = 7:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), less-{F}(V2,V3), P_add-{F}(V2,V0,V3), P_predecessor_of_1st_minus_2nd-{F}(V3,V2,V4), P_successor-{F}(V4,V5), P_successor-{F}(V6,V5) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #231: exists( #18, #229 ), references = 1, size of lhs = 5:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), less-{F}(V2,V3), P_add-{F}(V2,V0,V3), P_predecessor_of_1st_minus_2nd-{F}(V3,V2,V4) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #233: exists( #20, #230 ), references = 1, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), less-{F}(V2,V3), P_add-{F}(V2,V0,V3) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #247: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #242 ), references = 2, size of lhs = 6:
% 3.02/3.20 P_n0-{F}(V0), less-{F}(V0,V0), P_predecessor_of_1st_minus_2nd-{F}(V0,V0,V1), P_successor-{F}(V1,V2), P_a-{F}(V3), P_successor-{F}(V4,V2) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #251: exists( #18, #247 ), references = 1, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), less-{F}(V0,V0), P_predecessor_of_1st_minus_2nd-{F}(V0,V0,V1), P_a-{F}(V2) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #253: exists( #20, #250 ), references = 1, size of lhs = 3:
% 3.02/3.20 P_n0-{F}(V0), less-{F}(V0,V0), P_a-{F}(V1) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #283: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #278 ), references = 1, size of lhs = 10:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_successor-{F}(V4,V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V5,V7), P_multiply-{F}(V5,V4,V8), P_add-{F}(V8,V5,V9), P_add-{F}(V10,V7,V9), P_successor-{F}(V11,V10) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #289: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #284 ), references = 1, size of lhs = 8:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_successor-{F}(V4,V3), P_successor-{F}(V5,V6), P_multiply-{F}(V7,V4,V6), P_multiply-{F}(V7,V2,V8), P_add-{F}(V8,V7,V7) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #312: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #306 ), references = 1, size of lhs = 6:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), equalish-{F}(V2,V0), equalish-{F}(V3,V2), P_add-{F}(V0,V3,V4), P_successor-{F}(V5,V4) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #341: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #335 ), references = 1, size of lhs = 11:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_successor-{F}(V4,V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V5,V7), P_add-{F}(V8,V0,V7), P_multiply-{F}(V5,V4,V9), P_add-{F}(V9,V5,V10), P_add-{F}(V11,V8,V10), P_successor-{F}(V12,V11) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #348: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #342 ), references = 1, size of lhs = 9:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_successor-{F}(V4,V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V5,V7), P_add-{F}(V5,V0,V7), P_multiply-{F}(V5,V4,V8), P_successor-{F}(V9,V8) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #385: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #378 ), references = 1, size of lhs = 14:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_successor-{F}(V4,V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V5,V7), P_multiply-{F}(V5,V4,V8), P_add-{F}(V8,V5,V9), P_successor-{F}(V10,V11), P_add-{F}(V10,V12,V7), P_add-{F}(V13,V12,V9), P_successor-{F}(V13,V14), P_add-{F}(V15,V11,V14), P_successor-{F}(V16,V15) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #418: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #409 ), references = 1, size of lhs = 13:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), equalish-{F}(V2,V0), equalish-{F}(V3,V2), P_successor-{F}(V4,V5), P_successor-{F}(V6,V5), P_multiply-{F}(V7,V4,V8), P_add-{F}(V8,V7,V9), P_add-{F}(V3,V10,V9), P_multiply-{F}(V7,V6,V11), P_add-{F}(V11,V7,V12), P_add-{F}(V13,V10,V12), P_successor-{F}(V14,V13) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #428: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #419 ), references = 1, size of lhs = 11:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), equalish-{F}(V2,V0), equalish-{F}(V3,V2), P_successor-{F}(V4,V5), P_successor-{F}(V6,V5), P_multiply-{F}(V7,V4,V8), P_add-{F}(V8,V7,V9), P_add-{F}(V3,V7,V9), P_multiply-{F}(V7,V6,V10), P_successor-{F}(V11,V10) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #438: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #429 ), references = 3, size of lhs = 9:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), equalish-{F}(V2,V0), equalish-{F}(V3,V2), P_successor-{F}(V4,V5), P_successor-{F}(V6,V5), P_multiply-{F}(V7,V4,V3), P_multiply-{F}(V7,V6,V8), P_successor-{F}(V9,V8) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #443: mergings( V3 == V1; #441 ), references = 1, size of lhs = 6:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V0,V2), P_successor-{F}(V3,V2), P_multiply-{F}(V4,V3,V5), P_successor-{F}(V6,V5) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #460: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V0; #455 ), references = 3, size of lhs = 7:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_add-{F}(V2,V0,V3), equalish-{F}(V4,V3), P_add-{F}(V5,V2,V4), equalish-{F}(V6,V5), P_successor-{F}(V7,V6) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #483: mergings( V3 == V4, V4 == V5; #480 ), references = 1, size of lhs = 8:
% 3.02/3.20 P_n0-{F}(V0), equalish-{F}(V0,V1), P_a-{F}(V2), P_successor-{F}(V3,V4), P_multiply-{F}(V5,V4,V1), P_multiply-{F}(V5,V3,V6), P_successor-{F}(V7,V5), P_add-{F}(V6,V7,V8) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #520: mergings( V3 == V4, V4 == V5; #517 ), references = 2, size of lhs = 6:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), less-{F}(V2,V2), P_predecessor_of_1st_minus_2nd-{F}(V2,V2,V3), P_successor-{F}(V3,V4), P_successor-{F}(V5,V4) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #532: mergings( V3 == V4, V4 == V5; #528 ), references = 1, size of lhs = 7:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_multiply-{F}(V4,V3,V5), P_add-{F}(V4,V0,V5), P_multiply-{F}(V4,V2,V6), P_successor-{F}(V7,V6) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #535: mergings( V3 == V4, V4 == V5; #529 ), references = 1, size of lhs = 8:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_multiply-{F}(V4,V3,V5), P_add-{F}(V4,V0,V5), P_multiply-{F}(V4,V2,V6), equalish-{F}(V7,V6), P_successor-{F}(V8,V7) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #553: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #546 ), references = 1, size of lhs = 8:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), equalish-{F}(V4,V5), equalish-{F}(V4,V6), P_multiply-{F}(V6,V3,V5), P_multiply-{F}(V6,V2,V7), P_successor-{F}(V8,V7) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #564: mergings( V3 == V4, V4 == V5; #561 ), references = 1, size of lhs = 10:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V3), P_successor-{F}(V4,V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V5,V7), P_multiply-{F}(V5,V4,V8), P_add-{F}(V9,V5,V7), P_add-{F}(V10,V9,V8), P_successor-{F}(V11,V10) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #630: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #623 ), references = 1, size of lhs = 10:
% 3.02/3.20 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_a-{F}(V2), less-{F}(V3,V4), P_predecessor_of_1st_minus_2nd-{F}(V4,V3,V5), P_successor-{F}(V5,V6), equalish-{F}(V4,V7), P_add-{F}(V1,V3,V7), P_successor-{F}(V8,V6), P_successor-{F}(V9,V8) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #635: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #624 ), references = 1, size of lhs = 15:
% 3.02/3.20 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_a-{F}(V2), less-{F}(V3,V4), P_predecessor_of_1st_minus_2nd-{F}(V4,V3,V5), P_successor-{F}(V5,V6), equalish-{F}(V4,V7), P_add-{F}(V1,V3,V7), P_successor-{F}(V8,V6), equalish-{F}(V9,V8), P_successor-{F}(V10,V11), P_successor-{F}(V12,V11), P_multiply-{F}(V13,V10,V9), P_multiply-{F}(V13,V12,V14), P_successor-{F}(V15,V14) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #640: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #625 ), references = 1, size of lhs = 13:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), less-{F}(V2,V3), P_predecessor_of_1st_minus_2nd-{F}(V3,V2,V4), P_successor-{F}(V4,V5), equalish-{F}(V3,V6), P_add-{F}(V7,V2,V6), P_successor-{F}(V8,V7), P_successor-{F}(V9,V5), P_successor-{F}(V10,V9), P_add-{F}(V11,V0,V12), P_add-{F}(V8,V11,V13), equalish-{F}(V13,V12) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #648: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #641 ), references = 1, size of lhs = 8:
% 3.02/3.20 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_a-{F}(V2), less-{F}(V3,V4), P_predecessor_of_1st_minus_2nd-{F}(V4,V3,V5), equalish-{F}(V4,V6), P_add-{F}(V1,V3,V6), P_successor-{F}(V7,V5) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #653: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #642 ), references = 1, size of lhs = 13:
% 3.02/3.20 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_a-{F}(V2), less-{F}(V3,V4), P_predecessor_of_1st_minus_2nd-{F}(V4,V3,V5), equalish-{F}(V4,V6), P_add-{F}(V1,V3,V6), equalish-{F}(V7,V5), P_successor-{F}(V8,V9), P_successor-{F}(V10,V9), P_multiply-{F}(V11,V8,V7), P_multiply-{F}(V11,V10,V12), P_successor-{F}(V13,V12) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #658: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #643 ), references = 1, size of lhs = 11:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), less-{F}(V2,V3), P_predecessor_of_1st_minus_2nd-{F}(V3,V2,V4), equalish-{F}(V3,V5), P_successor-{F}(V6,V4), P_add-{F}(V7,V2,V5), P_successor-{F}(V8,V7), P_add-{F}(V9,V0,V10), P_add-{F}(V8,V9,V11), equalish-{F}(V11,V10) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #660: exists( #18, #520 ), references = 1, size of lhs = 4:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), less-{F}(V2,V2), P_predecessor_of_1st_minus_2nd-{F}(V2,V2,V3) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #662: exists( #20, #659 ), references = 1, size of lhs = 3:
% 3.02/3.20 P_n0-{F}(V0), P_a-{F}(V1), less-{F}(V2,V2) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #666: mergings( V1 == V2; #664 ), references = 1, size of lhs = 1:
% 3.02/3.20 P_n0-{F}(V0) | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 #668: exists( #17, #664 ), references = 1, size of lhs = 0:
% 3.02/3.20 FALSE | FALSE
% 3.02/3.20 (used 0 times, uses = {})
% 3.02/3.20
% 3.02/3.20 number of learnt formulas = 45
% 3.02/3.20
% 3.02/3.20
% 3.02/3.20 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.02/3.20
% 3.02/3.20 randbase = 1
%------------------------------------------------------------------------------