TSTP Solution File: NUM027-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM027-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:12:00 EDT 2022
% Result : Unsatisfiable 4.17s 4.35s
% Output : Refutation 4.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM027-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 23:36:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.17/4.35 GeoParameters:
% 4.17/4.35
% 4.17/4.35 tptp_input = 1
% 4.17/4.35 tptp_output = 0
% 4.17/4.35 nonempty = 1
% 4.17/4.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.17/4.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.17/4.35
% 4.17/4.35
% 4.17/4.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.17/4.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.17/4.35
% 4.17/4.35 RuleSystem INPUT:
% 4.17/4.35
% 4.17/4.35 Initial Rules:
% 4.17/4.35 #0: input, references = 22, size of lhs = 2:
% 4.17/4.35 P_n0-{F}(V0), P_add-{F}(V1,V0,V2) | equalish-{T}(V2,V1)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #1: input, references = 8, size of lhs = 5:
% 4.17/4.35 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)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #2: input, references = 3, size of lhs = 2:
% 4.17/4.35 P_n0-{F}(V0), P_multiply-{F}(V1,V0,V2) | equalish-{T}(V2,V0)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #3: input, references = 15, size of lhs = 5:
% 4.17/4.35 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)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #4: input, references = 8, size of lhs = 4:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V3), P_successor-{F}(V2,V4), equalish-{F}(V3,V4) | equalish-{T}(V1,V2)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #5: input, references = 4, size of lhs = 4:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V3), P_successor-{F}(V2,V4), equalish-{F}(V1,V2) | equalish-{T}(V3,V4)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #6: input, references = 10, size of lhs = 3:
% 4.17/4.35 P_n0-{F}(V0), less-{F}(V3,V1), less-{F}(V2,V3) | less-{T}(V2,V1)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #7: input, references = 11, size of lhs = 4:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V3,V4), P_add-{F}(V4,V1,V5), equalish-{F}(V5,V2) | less-{T}(V1,V2)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #8: input, references = 6, size of lhs = 5:
% 4.17/4.35 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)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #9: input, references = 3, size of lhs = 2:
% 4.17/4.35 P_n0-{F}(V0), #-{F} V1 | equalish-{T}(V1,V1)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #10: input, references = 18, size of lhs = 2:
% 4.17/4.35 P_n0-{F}(V0), equalish-{F}(V1,V2) | equalish-{T}(V2,V1)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #11: input, references = 25, size of lhs = 3:
% 4.17/4.35 P_n0-{F}(V0), equalish-{F}(V1,V2), equalish-{F}(V3,V1) | equalish-{T}(V3,V2)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #12: input, references = 4, size of lhs = 4:
% 4.17/4.35 P_n0-{F}(V0), equalish-{F}(V1,V2), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V2,V3,V5) | equalish-{T}(V4,V5)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #13: input, references = 17, size of lhs = 3:
% 4.17/4.35 P_n0-{F}(V0), less-{F}(V1,V2), equalish-{F}(V1,V2) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #14: input, references = 6, size of lhs = 3:
% 4.17/4.35 P_n0-{F}(V0), #-{F} V1, #-{F} V2 | less-{T}(V1,V2), equalish-{T}(V2,V1), less-{T}(V2,V1)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #15: input, references = 7, size of lhs = 2:
% 4.17/4.35 P_n0-{F}(V0), less-{F}(V1,V1) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #16: input, references = 4, size of lhs = 3:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), equalish-{F}(V2,V0) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #17: input, references = 5, size of lhs = 4:
% 4.17/4.35 P_n0-{F}(V0), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V2,V1,V5), less-{F}(V3,V2) | equalish-{T}(V1,V0), less-{T}(V4,V5)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #18: input, references = 6, size of lhs = 4:
% 4.17/4.35 P_n0-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), less-{F}(V1,V2) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #19: input, references = 9, size of lhs = 6:
% 4.17/4.35 P_n0-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V2,V3,V5) | less-{T}(V4,V5)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #20: input, references = 7, size of lhs = 7:
% 4.17/4.35 P_n0-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V2,V3,V5), equalish-{F}(V3,V0) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #21: input, references = 20, size of lhs = 2:
% 4.17/4.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #22: input, references = 4, size of lhs = 0:
% 4.17/4.35 FALSE | EXISTS V0: P_n0-{T}(V0)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #23: input, references = 6, size of lhs = 1:
% 4.17/4.35 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #24: input, references = 14, size of lhs = 2:
% 4.17/4.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #25: input, references = 3, size of lhs = 2:
% 4.17/4.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_predecessor_of_1st_minus_2nd-{T}(V0,V1,V2)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #26: input, references = 4, size of lhs = 0:
% 4.17/4.35 FALSE | EXISTS V0: P_b-{T}(V0)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #27: input, references = 4, size of lhs = 0:
% 4.17/4.35 FALSE | EXISTS V0: P_a-{T}(V0)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #28: input, references = 4, size of lhs = 0:
% 4.17/4.35 FALSE | EXISTS V0: P_c-{T}(V0)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 number of initial rules = 29
% 4.17/4.35
% 4.17/4.35 Simplifiers:
% 4.17/4.35 #29: unsound, references = 3, size of lhs = 3:
% 4.17/4.35 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #30: unsound, references = 3, size of lhs = 3:
% 4.17/4.35 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #31: unsound, references = 3, size of lhs = 3:
% 4.17/4.35 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #32: unsound, references = 3, size of lhs = 3:
% 4.17/4.35 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #33: unsound, references = 3, size of lhs = 3:
% 4.17/4.35 P_predecessor_of_1st_minus_2nd-{F}(V0,V1,V2), P_predecessor_of_1st_minus_2nd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #34: unsound, references = 3, size of lhs = 3:
% 4.17/4.35 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #35: unsound, references = 3, size of lhs = 3:
% 4.17/4.35 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #36: unsound, references = 3, size of lhs = 3:
% 4.17/4.35 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 number of simplifiers = 8
% 4.17/4.35
% 4.17/4.35 Learnt:
% 4.17/4.35 #47: mergings( V1 == V3, V3 == V4; #44 ), references = 1, size of lhs = 4:
% 4.17/4.35 P_b-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V2,V1) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #107: mergings( V1 == V3, V3 == V4, V4 == V5; #103 ), references = 2, size of lhs = 5:
% 4.17/4.35 P_b-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), equalish-{F}(V2,V1), P_successor-{F}(V3,V2) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #111: exists( #24, #20 ), references = 5, size of lhs = 6:
% 4.17/4.35 P_n0-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), equalish-{F}(V3,V0), P_multiply-{F}(V2,V3,V4) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #129: mergings( V0 == V3, V3 == V2, V2 == V7, V7 == V4, V1 == V5; #122 ), references = 1, size of lhs = 5:
% 4.17/4.35 P_c-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_n0-{F}(V1), P_multiply-{F}(V0,V0,V2) | less-{T}(V0,V1)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #189: mergings( V2 == V3, V3 == V4; #186 ), references = 2, size of lhs = 6:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), P_successor-{F}(V6,V4), less-{F}(V6,V5) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #199: mergings( V1 == V3, V3 == V4, V4 == V5; #195 ), references = 1, size of lhs = 7:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_successor-{F}(V2,V3), less-{F}(V3,V4), P_successor-{F}(V5,V6), P_add-{F}(V7,V6,V1), P_add-{F}(V7,V5,V4) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #304: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #298 ), references = 1, size of lhs = 7:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V0,V1,V4), equalish-{F}(V4,V5), P_add-{F}(V6,V5,V3), P_successor-{F}(V7,V6) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #350: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #342 ), references = 1, size of lhs = 7:
% 4.17/4.35 P_n0-{F}(V0), less-{F}(V0,V1), P_predecessor_of_1st_minus_2nd-{F}(V1,V0,V2), P_successor-{F}(V2,V3), P_successor-{F}(V4,V1), less-{F}(V4,V5), P_successor-{F}(V5,V3) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #356: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #343 ), references = 1, size of lhs = 10:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_successor-{F}(V4,V5), less-{F}(V0,V5), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V6), P_successor-{F}(V6,V1), P_multiply-{F}(V3,V4,V7) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #362: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #344 ), references = 1, size of lhs = 11:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_successor-{F}(V4,V5), less-{F}(V0,V5), P_predecessor_of_1st_minus_2nd-{F}(V5,V0,V6), P_successor-{F}(V6,V1), P_multiply-{F}(V2,V4,V7), P_multiply-{F}(V3,V4,V8) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #436: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #430 ), references = 1, size of lhs = 7:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V0,V1,V4), less-{F}(V4,V5), P_add-{F}(V6,V5,V3), P_successor-{F}(V7,V6) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #498: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #492 ), references = 1, size of lhs = 6:
% 4.17/4.35 P_n0-{F}(V0), equalish-{F}(V1,V0), P_multiply-{F}(V0,V2,V1), P_successor-{F}(V2,V3), P_multiply-{F}(V0,V3,V4), P_successor-{F}(V5,V4) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #570: mergings( V1 == V3, V3 == V4, V4 == V5; #566 ), references = 2, size of lhs = 5:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V0,V1,V4), less-{F}(V3,V4) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #622: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #615 ), references = 3, size of lhs = 6:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), P_multiply-{F}(V0,V2,V3), less-{F}(V3,V4), P_multiply-{F}(V0,V1,V5), equalish-{F}(V5,V4) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #627: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #616 ), references = 1, size of lhs = 9:
% 4.17/4.35 P_n0-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V2,V3,V4), equalish-{F}(V5,V0), P_multiply-{F}(V0,V6,V5), P_successor-{F}(V6,V7), P_multiply-{F}(V0,V7,V3) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #632: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #617 ), references = 1, size of lhs = 10:
% 4.17/4.35 P_n0-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V2,V3,V5), equalish-{F}(V6,V0), P_multiply-{F}(V0,V7,V6), P_successor-{F}(V7,V8), P_multiply-{F}(V0,V8,V3) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #711: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #706 ), references = 2, size of lhs = 7:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), equalish-{F}(V6,V5), P_successor-{F}(V6,V7), less-{F}(V7,V4) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #758: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #753 ), references = 2, size of lhs = 9:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), equalish-{F}(V3,V4), less-{F}(V3,V5), P_multiply-{F}(V6,V2,V4), P_multiply-{F}(V6,V1,V7), P_successor-{F}(V8,V6), P_add-{F}(V7,V8,V9), P_successor-{F}(V9,V5) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #800: mergings( V0 == V6; #798 ), references = 1, size of lhs = 9:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V0,V1), less-{F}(V2,V3), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V3,V4,V6), P_successor-{F}(V7,V5), P_successor-{F}(V8,V9), P_add-{F}(V10,V9,V1), P_add-{F}(V10,V8,V6) | equalish-{T}(V4,V0)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #809: mergings( V3 == V4, V4 == V6; #804 ), references = 1, size of lhs = 10:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V0,V1), less-{F}(V2,V0), less-{F}(V3,V4), P_multiply-{F}(V3,V2,V5), P_multiply-{F}(V4,V2,V6), P_successor-{F}(V7,V5), P_successor-{F}(V8,V9), P_add-{F}(V10,V9,V1), P_add-{F}(V10,V8,V6) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #811: mergings( V3 == V5; #805 ), references = 1, size of lhs = 13:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V4,V5), less-{F}(V6,V7), P_multiply-{F}(V6,V4,V8), P_multiply-{F}(V7,V4,V9), P_successor-{F}(V10,V8), P_successor-{F}(V11,V12), P_add-{F}(V13,V12,V1), P_add-{F}(V13,V11,V9) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #813: mergings( V3 == V5; #806 ), references = 1, size of lhs = 14:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V0,V1), P_b-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V3,V4,V6), less-{F}(V7,V8), P_multiply-{F}(V7,V4,V9), P_multiply-{F}(V8,V4,V10), P_successor-{F}(V11,V9), P_successor-{F}(V12,V13), P_add-{F}(V14,V13,V1), P_add-{F}(V14,V12,V10) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #857: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #851 ), references = 1, size of lhs = 11:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V0,V1,V4), less-{F}(V4,V5), P_successor-{F}(V6,V5), P_successor-{F}(V7,V8), P_multiply-{F}(V9,V8,V3), P_successor-{F}(V10,V9), P_multiply-{F}(V9,V7,V11), P_add-{F}(V11,V10,V6) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #880: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6; #875 ), references = 1, size of lhs = 9:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V0,V1,V4), P_successor-{F}(V4,V5), less-{F}(V5,V6), P_successor-{F}(V7,V8), P_add-{F}(V9,V8,V6), P_add-{F}(V9,V7,V3) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #926: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #918 ), references = 1, size of lhs = 6:
% 4.17/4.35 P_n0-{F}(V0), P_successor-{F}(V1,V2), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V0,V1,V4), equalish-{F}(V4,V5), less-{F}(V5,V3) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #984: mergings( V0 == V6; #980 ), references = 4, size of lhs = 5:
% 4.17/4.35 P_n0-{F}(V0), less-{F}(V1,V0), P_multiply-{F}(V2,V1,V3), less-{F}(V2,V4), P_multiply-{F}(V4,V1,V5) | less-{T}(V3,V5)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #985: disj( #17, exists( #24, #20 ) ), references = 4, size of lhs = 8:
% 4.17/4.35 P_n0-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V5,V3,V6), less-{F}(V5,V7), P_multiply-{F}(V7,V3,V8) | less-{T}(V6,V8)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #986: disj( #17, input ), references = 1, size of lhs = 9:
% 4.17/4.35 P_n0-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V2,V3,V5), P_multiply-{F}(V6,V3,V7), less-{F}(V6,V8), P_multiply-{F}(V8,V3,V9) | less-{T}(V7,V9)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #998: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V9; #993 ), references = 2, size of lhs = 8:
% 4.17/4.35 P_b-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_multiply-{F}(V1,V2,V3), less-{F}(V2,V4), P_n0-{F}(V4), P_multiply-{F}(V5,V2,V3), less-{F}(V5,V0) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #1009: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V4 == V10; #1000 ), references = 1, size of lhs = 4:
% 4.17/4.35 P_c-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_n0-{F}(V1) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #1042: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1035 ), references = 1, size of lhs = 12:
% 4.17/4.35 P_b-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V1,V2), P_successor-{F}(V3,V2), P_successor-{F}(V4,V5), P_add-{F}(V6,V4,V3), P_successor-{F}(V7,V5), P_add-{F}(V6,V7,V8), P_successor-{F}(V8,V9), P_successor-{F}(V10,V9), P_successor-{F}(V11,V10) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #1050: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1043 ), references = 1, size of lhs = 10:
% 4.17/4.35 P_b-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_successor-{F}(V1,V2), P_successor-{F}(V3,V2), P_successor-{F}(V4,V5), P_add-{F}(V6,V4,V3), P_successor-{F}(V7,V5), P_add-{F}(V6,V7,V8), P_successor-{F}(V9,V8) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #1080: mergings( V3 == V0; #1078 ), references = 2, size of lhs = 8:
% 4.17/4.35 P_b-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_multiply-{F}(V1,V2,V3), P_successor-{F}(V4,V2), P_multiply-{F}(V0,V4,V5), equalish-{F}(V5,V3) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #1088: mergings( V3 == V4, V4 == V5; #1085 ), references = 1, size of lhs = 9:
% 4.17/4.35 P_b-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_successor-{F}(V3,V2), P_multiply-{F}(V0,V3,V4), P_successor-{F}(V5,V2), P_multiply-{F}(V1,V5,V6), P_add-{F}(V6,V1,V4) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #1113: mergings( V0 == V3, V3 == V8, V8 == V10, V4 == V10, V5 == V1, V7 == V9; #1105 ), references = 1, size of lhs = 7:
% 4.17/4.35 P_c-{F}(V0), P_b-{F}(V1), P_n0-{F}(V1), P_a-{F}(V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V4,V0,V3), P_successor-{F}(V5,V4) | less-{T}(V4,V2)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #1120: mergings( V0 == V3, V3 == V8, V8 == V11, V4 == V11, V5 == V1, V7 == V9; #1106 ), references = 1, size of lhs = 8:
% 4.17/4.35 P_c-{F}(V0), P_b-{F}(V1), P_n0-{F}(V1), P_a-{F}(V2), P_multiply-{F}(V2,V0,V3), equalish-{F}(V3,V4), P_multiply-{F}(V5,V0,V4), P_successor-{F}(V6,V5) | less-{T}(V5,V2)
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #1135: mergings( V3 == V6, V6 == V7, V7 == V8; #1131 ), references = 1, size of lhs = 7:
% 4.17/4.35 P_b-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_multiply-{F}(V1,V2,V3), P_n0-{F}(V4), equalish-{F}(V5,V0), P_multiply-{F}(V5,V2,V3) | FALSE
% 4.17/4.35 (used 0 times, uses = {})
% 4.17/4.35
% 4.17/4.35 #1140: mergings( V3 == V5, V5 == V6, V6 == V7; #1136 ), references = 2, size of lhs = 5:
% 4.17/4.35 P_b-{F}(V0), P_a-{F}(V1), equalish-{F}(V1,V0), P_c-{F}(V2), P_n0-{F}(V3) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1159: exists( #24, #998 ), references = 1, size of lhs = 6:
% 4.17/4.36 P_b-{F}(V0), P_a-{F}(V1), less-{F}(V1,V0), P_c-{F}(V2), less-{F}(V2,V3), P_n0-{F}(V3) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1199: mergings( V1 == V3, V3 == V4, V4 == V6; #1193 ), references = 1, size of lhs = 5:
% 4.17/4.36 P_n0-{F}(V0), less-{F}(V1,V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V2), P_successor-{F}(V4,V3) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1203: mergings( V1 == V3, V3 == V4, V4 == V6; #1194 ), references = 1, size of lhs = 6:
% 4.17/4.36 P_n0-{F}(V0), less-{F}(V1,V0), P_multiply-{F}(V0,V1,V2), equalish-{F}(V2,V3), P_multiply-{F}(V4,V1,V3), P_successor-{F}(V5,V4) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1218: mergings( V3 == V0, V0 == V6; #1214 ), references = 1, size of lhs = 8:
% 4.17/4.36 P_b-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_multiply-{F}(V1,V2,V3), less-{F}(V3,V4), P_multiply-{F}(V0,V5,V4), P_successor-{F}(V5,V2) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1221: mergings( V3 == V0, V0 == V6; #1215 ), references = 1, size of lhs = 9:
% 4.17/4.36 P_b-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_multiply-{F}(V1,V2,V3), less-{F}(V3,V4), P_successor-{F}(V5,V2), P_multiply-{F}(V0,V5,V6), equalish-{F}(V6,V4) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1269: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V7; #1262 ), references = 1, size of lhs = 7:
% 4.17/4.36 P_n0-{F}(V0), less-{F}(V1,V0), less-{F}(V2,V0), P_multiply-{F}(V2,V1,V3), equalish-{F}(V3,V4), P_multiply-{F}(V5,V1,V4), P_successor-{F}(V6,V5) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1290: mergings( V3 == V6, V6 == V10, V10 == V11, V0 == V7, V4 == V8, V5 == V9; #1283 ), references = 1, size of lhs = 7:
% 4.17/4.36 P_b-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_multiply-{F}(V1,V2,V3), P_n0-{F}(V4), P_multiply-{F}(V5,V2,V3), less-{F}(V5,V0) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1296: mergings( V3 == V5, V5 == V7, V7 == V8, V4 == V6; #1291 ), references = 1, size of lhs = 5:
% 4.17/4.36 P_b-{F}(V0), P_a-{F}(V1), less-{F}(V1,V0), P_c-{F}(V2), P_n0-{F}(V3) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1306: mergings( V0 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V11, V5 == V2, V6 == V10; #1297 ), references = 1, size of lhs = 4:
% 4.17/4.36 P_b-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_n0-{F}(V3) | less-{T}(V0,V1)
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1317: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V4 == V10; #1308 ), references = 1, size of lhs = 3:
% 4.17/4.36 P_n0-{F}(V0), P_b-{F}(V1), P_a-{F}(V2) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1327: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V4 == V10; #1318 ), references = 1, size of lhs = 2:
% 4.17/4.36 P_n0-{F}(V0), P_b-{F}(V1) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1336: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1328 ), references = 1, size of lhs = 1:
% 4.17/4.36 P_n0-{F}(V0) | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 #1338: exists( #22, #1328 ), references = 1, size of lhs = 0:
% 4.17/4.36 FALSE | FALSE
% 4.17/4.36 (used 0 times, uses = {})
% 4.17/4.36
% 4.17/4.36 number of learnt formulas = 51
% 4.17/4.36
% 4.17/4.36
% 4.17/4.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.17/4.36
% 4.17/4.36 randbase = 1
%------------------------------------------------------------------------------