TSTP Solution File: NUM420-1.000 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM420-1.000 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:12:25 EDT 2022
% Result : Unsatisfiable 2.53s 2.70s
% Output : Refutation 2.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM420-1.000 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 : Sat Jul 23 00:18:58 EDT 2022
% 0.18/0.33 % CPUTime :
% 2.53/2.70 GeoParameters:
% 2.53/2.70
% 2.53/2.70 tptp_input = 1
% 2.53/2.70 tptp_output = 0
% 2.53/2.70 nonempty = 1
% 2.53/2.70 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.53/2.70 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.53/2.70
% 2.53/2.70
% 2.53/2.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.53/2.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.53/2.70
% 2.53/2.70 RuleSystem INPUT:
% 2.53/2.70
% 2.53/2.70 Initial Rules:
% 2.53/2.70 #0: input, references = 5, size of lhs = 7:
% 2.53/2.70 less-{F}(V0,V1), less-{F}(V2,V0), less-{F}(V2,V1), P_times-{F}(V4,V1,V5), P_plus-{F}(V0,V5,V8), P_times-{F}(V3,V1,V7), P_plus-{F}(V2,V7,V8) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #1: input, references = 4, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V1,V0,V2), V2 == V1 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #2: input, references = 4, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V1,V3,V5), P_plus-{F}(V2,V3,V5), V1 == V2 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #3: input, references = 4, size of lhs = 6:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V1,V2,V4), P_plus-{F}(V4,V3,V5), P_plus-{F}(V2,V3,V6), P_plus-{F}(V1,V6,V7), V5 == V7 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #4: input, references = 3, size of lhs = 6:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V2,V3,V4), P_plus-{F}(V1,V4,V5), P_plus-{F}(V1,V2,V6), P_plus-{F}(V6,V3,V7), V5 == V7 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #5: input, references = 4, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V1,V2,V3), P_plus-{F}(V2,V1,V4), V3 == V4 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #6: input, references = 4, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V3,V1,V5), P_plus-{F}(V3,V2,V5), V1 == V2 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #7: input, references = 4, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V0,V1,V2), V2 == V1 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #8: input, references = 3, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V1,V3,V3), V1 == V0 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #9: input, references = 4, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V3,V1,V3), V1 == V0 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #10: input, references = 4, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V2,V1,V2), V1 == V0 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #11: input, references = 3, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V1,V2,V2), V1 == V0 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #12: input, references = 3, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V3,V2,V4), P_plus-{F}(V3,V2,V5), V4 == V5 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #13: input, references = 4, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V2,V1,V3), P_plus-{F}(V1,V3,V1) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #14: input, references = 4, size of lhs = 5:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V2,V3,V4), P_times-{F}(V3,V2,V5), V4 == V5 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #15: input, references = 4, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V2,V1,V0) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #16: input, references = 4, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V2,V1,V3), V3 == V2 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #17: input, references = 3, size of lhs = 7:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V3,V4,V5), P_times-{F}(V2,V5,V6), P_times-{F}(V2,V3,V7), P_times-{F}(V7,V4,V8), V6 == V8 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #18: input, references = 3, size of lhs = 7:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V2,V3,V5), P_times-{F}(V5,V4,V6), P_times-{F}(V3,V4,V7), P_times-{F}(V2,V7,V8), V6 == V8 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #19: input, references = 4, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V1,V2,V3), V3 == V2 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #20: input, references = 5, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V3,V4,V5), P_times-{F}(V2,V5,V6), P_times-{F}(V2,V3,V7), P_times-{F}(V2,V4,V8), P_plus-{F}(V7,V8,V9), V6 == V9 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #21: input, references = 5, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V2,V3,V5), P_times-{F}(V2,V4,V6), P_plus-{F}(V5,V6,V7), P_plus-{F}(V4,V3,V8), P_times-{F}(V2,V8,V9), V7 == V9 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #22: input, references = 3, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V2,V3,V5), P_times-{F}(V5,V4,V6), P_times-{F}(V2,V4,V7), P_times-{F}(V3,V4,V8), P_plus-{F}(V7,V8,V9), V6 == V9 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #23: input, references = 3, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V2,V3,V5), P_times-{F}(V4,V3,V6), P_plus-{F}(V5,V6,V7), P_plus-{F}(V2,V4,V8), P_times-{F}(V8,V3,V9), V7 == V9 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #24: input, references = 5, size of lhs = 7:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V2,V3,V4), P_plus-{F}(V4,V2,V5), P_plus-{F}(V3,V1,V6), P_times-{F}(V2,V6,V7), V5 == V7 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #25: input, references = 3, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V2,V3,V5), P_times-{F}(V5,V4,V6), P_times-{F}(V3,V4,V7), P_times-{F}(V2,V4,V8), P_plus-{F}(V7,V8,V9), V6 == V9 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #26: input, references = 3, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V4), P_times-{F}(V2,V3,V4), V2 == V4 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #27: input, references = 3, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V4), P_times-{F}(V3,V2,V4), V2 == V4 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #28: input, references = 5, size of lhs = 9:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), less-{F}(V2,V3), less-{F}(V4,V2), less-{F}(V4,V3), P_times-{F}(V6,V3,V7), P_plus-{F}(V4,V7,V10), P_times-{F}(V5,V3,V9), P_plus-{F}(V2,V9,V10) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #29: input, references = 4, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V2,V1,V3) | less-{T}(V0,V3)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #30: input, references = 3, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), less-{F}(V1,V1) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #31: input, references = 5, size of lhs = 5:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2, #-{F} V3, V2 == V3 | less-{T}(V2,V3), less-{T}(V3,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #32: input, references = 3, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V4), less-{F}(V4,V2), P_times-{F}(V3,V2,V4) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #33: input, references = 6, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V3,V1,V4), less-{F}(V4,V2) | less-{T}(V3,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #34: input, references = 3, size of lhs = 16:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_plus-{F}(V6,V3,V7), P_times-{F}(V4,V7,V8), P_plus-{F}(V5,V1,V9), P_times-{F}(V6,V9,V10), P_plus-{F}(V8,V10,V11), P_plus-{F}(V11,V1,V12), P_plus-{F}(V5,V12,V13), P_plus-{F}(V4,V9,V14), P_plus-{F}(V6,V1,V15), P_times-{F}(V14,V15,V16), P_plus-{F}(V4,V16,V17), V13 == V17 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #35: input, references = 3, size of lhs = 7:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_plus-{F}(V5,V1,V7), P_plus-{F}(V4,V7,V8), element-{F}(V8,V6) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #36: input, references = 3, size of lhs = 10:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), less-{F}(V0,V2), P_s_5-{F}(V2,V4,V0), P_s_6-{F}(V2,V4,V6), P_times-{F}(V6,V2,V7), P_plus-{F}(V0,V7,V8), V4 == V8 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #37: input, references = 3, size of lhs = 5:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), element-{F}(V4,V5) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #38: input, references = 3, size of lhs = 11:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), less-{F}(V0,V2), less-{F}(V4,V0), less-{F}(V4,V2), P_times-{F}(V6,V2,V7), P_plus-{F}(V4,V7,V10), P_times-{F}(V5,V2,V9), P_plus-{F}(V0,V9,V10) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #39: input, references = 5, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), less-{F}(V0,V2), V2 == V5 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #40: input, references = 3, size of lhs = 12:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), less-{F}(V0,V2), P_s_5-{F}(V2,V6,V7), P_s_6-{F}(V2,V6,V8), P_times-{F}(V8,V2,V9), P_plus-{F}(V7,V9,V10), V6 == V10 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #41: input, references = 3, size of lhs = 13:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), less-{F}(V0,V2), P_times-{F}(V7,V2,V8), P_times-{F}(V6,V2,V9), P_plus-{F}(V8,V9,V10), P_plus-{F}(V7,V6,V11), P_times-{F}(V11,V2,V12), V10 == V12 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #42: input, references = 4, size of lhs = 13:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), less-{F}(V0,V2), less-{F}(V0,V6), less-{F}(V6,V2), P_times-{F}(V8,V2,V9), P_plus-{F}(V6,V9,V12), P_times-{F}(V7,V2,V11), P_plus-{F}(V0,V11,V12) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #43: input, references = 3, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V6,V1,V7), P_plus-{F}(V1,V7,V1) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #44: input, references = 3, size of lhs = 14:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), less-{F}(V0,V2), P_times-{F}(V7,V2,V9), P_plus-{F}(V8,V9,V10), P_times-{F}(V6,V2,V11), P_plus-{F}(V10,V11,V12), P_plus-{F}(V9,V11,V13), P_plus-{F}(V8,V13,V14), V12 == V14 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #45: input, references = 3, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), less-{F}(V0,V2), P_s_5-{F}(V2,V6,V7) | less-{T}(V7,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #46: input, references = 3, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), #-{F} V6, V6 == V0 | less-{T}(V6,V0), less-{T}(V0,V6)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #47: input, references = 3, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6), less-{F}(V6,V2) | less-{T}(V0,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #48: input, references = 3, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6), V6 == V1 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #49: input, references = 4, size of lhs = 10:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6), P_times-{F}(V7,V9,V2), V7 == V1, V7 == V2 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #50: input, references = 3, size of lhs = 7:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6) | less-{T}(V1,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #51: input, references = 5, size of lhs = 12:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6), P_s_1-{F}(V7,V8), P_s_4-{F}(V7,V9), P_times-{F}(V8,V9,V10), V7 == V1, V10 == V7 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #52: input, references = 3, size of lhs = 13:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6), P_s_4-{F}(V7,V8), P_s_1-{F}(V7,V9), P_times-{F}(V8,V9,V10), P_times-{F}(V9,V8,V11), V7 == V1, V10 == V11 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #53: input, references = 3, size of lhs = 13:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6), P_s_4-{F}(V7,V8), P_s_1-{F}(V7,V9), P_times-{F}(V8,V9,V10), P_plus-{F}(V0,V10,V11), V7 == V1, V11 == V10 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #54: input, references = 5, size of lhs = 10:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6), P_s_1-{F}(V7,V8), V7 == V1, V8 == V2 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #55: input, references = 5, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V9), P_p__0-{F}(V2), P_plus-{F}(V9,V9,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V9,V5), P_plus-{F}(V0,V9,V6), P_times-{F}(V8,V2,V9) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #56: input, references = 3, size of lhs = 10:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6), P_times-{F}(V8,V2,V9), P_plus-{F}(V0,V9,V10), V10 == V9 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #57: input, references = 15, size of lhs = 2:
% 2.53/2.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_plus-{T}(V0,V1,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #58: input, references = 9, size of lhs = 2:
% 2.53/2.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_times-{T}(V0,V1,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #59: input, references = 4, size of lhs = 0:
% 2.53/2.70 FALSE | EXISTS V0: P_n0-{T}(V0)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #60: input, references = 4, size of lhs = 0:
% 2.53/2.70 FALSE | EXISTS V0: P_n1-{T}(V0)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #61: input, references = 4, size of lhs = 0:
% 2.53/2.70 FALSE | EXISTS V0: P_p__0-{T}(V0)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #62: input, references = 3, size of lhs = 2:
% 2.53/2.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_s_5-{T}(V0,V1,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #63: input, references = 3, size of lhs = 2:
% 2.53/2.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_s_6-{T}(V0,V1,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #64: input, references = 9, size of lhs = 1:
% 2.53/2.70 #-{F} V0 | EXISTS V1: P_s_7-{T}(V0,V1)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #65: input, references = 5, size of lhs = 1:
% 2.53/2.70 #-{F} V0 | EXISTS V1: P_s_1-{T}(V0,V1)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #66: input, references = 4, size of lhs = 1:
% 2.53/2.70 #-{F} V0 | EXISTS V1: P_s_4-{T}(V0,V1)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 number of initial rules = 67
% 2.53/2.70
% 2.53/2.70 Simplifiers:
% 2.53/2.70 #67: unsound, references = 3, size of lhs = 3:
% 2.53/2.70 P_plus-{F}(V0,V1,V2), P_plus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #68: unsound, references = 3, size of lhs = 3:
% 2.53/2.70 P_times-{F}(V0,V1,V2), P_times-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #69: unsound, references = 3, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #70: unsound, references = 3, size of lhs = 3:
% 2.53/2.70 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #71: unsound, references = 3, size of lhs = 3:
% 2.53/2.70 P_p__0-{F}(V0), P_p__0-{F}(V1), V0 == V1 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #72: unsound, references = 3, size of lhs = 3:
% 2.53/2.70 P_s_5-{F}(V0,V1,V2), P_s_5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #73: unsound, references = 3, size of lhs = 3:
% 2.53/2.70 P_s_6-{F}(V0,V1,V2), P_s_6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #74: unsound, references = 3, size of lhs = 3:
% 2.53/2.70 P_s_7-{F}(V0,V1), P_s_7-{F}(V0,V3), V1 == V3 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #75: unsound, references = 3, size of lhs = 3:
% 2.53/2.70 P_s_1-{F}(V0,V1), P_s_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #76: unsound, references = 3, size of lhs = 3:
% 2.53/2.70 P_s_4-{F}(V0,V1), P_s_4-{F}(V0,V3), V1 == V3 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 number of simplifiers = 10
% 2.53/2.70
% 2.53/2.70 Learnt:
% 2.53/2.70 #78: exists( #58, #16 ), references = 6, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2 | P_times-{T}(V2,V1,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #80: exists( #57, #1 ), references = 13, size of lhs = 2:
% 2.53/2.70 P_n0-{F}(V0), #-{F} V1 | P_plus-{T}(V1,V0,V1)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #82: exists( #58, #21 ), references = 1, size of lhs = 6:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V2,V3,V4), P_times-{F}(V2,V5,V6), P_plus-{F}(V4,V6,V7), P_plus-{F}(V5,V3,V8) | P_times-{T}(V2,V8,V7)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #84: exists( #57, #7 ), references = 9, size of lhs = 2:
% 2.53/2.70 P_n0-{F}(V0), #-{F} V1 | P_plus-{T}(V0,V1,V1)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #87: exists( #57, #55 ), references = 1, size of lhs = 6:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_s_7-{F}(V2,V1), P_plus-{F}(V0,V1,V3), P_times-{F}(V4,V2,V1) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #88: exists( #57, #39 ), references = 1, size of lhs = 5:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_s_7-{F}(V2,V1), less-{F}(V0,V2) | P_plus-{T}(V1,V1,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #91: exists( #57, #3 ), references = 3, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V1,V2,V3), P_plus-{F}(V2,V4,V5), P_plus-{F}(V1,V5,V6) | P_plus-{T}(V3,V4,V6)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #103: mergings( V3 == V4; #100 ), references = 1, size of lhs = 9:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V0,V1,V5), P_times-{F}(V6,V2,V1), P_plus-{F}(V7,V8,V4), P_plus-{F}(V8,V1,V9) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #106: mergings( V2 == V3; #104 ), references = 1, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_s_7-{F}(V2,V3), P_plus-{F}(V0,V1,V4), P_times-{F}(V5,V2,V1), P_plus-{F}(V6,V7,V3), P_plus-{F}(V7,V1,V8) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #112: mergings( V2 == V3, V3 == V4, V6 == V8; #108 ), references = 2, size of lhs = 5:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_times-{F}(V3,V2,V1), P_plus-{F}(V0,V1,V4) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #115: exists( #58, #19 ), references = 4, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2 | P_times-{T}(V1,V2,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #116: exists( #58, #14 ), references = 5, size of lhs = 3:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V2,V3,V4) | P_times-{T}(V3,V2,V4)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #122: mergings( V3 == V4; #119 ), references = 7, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), less-{F}(V0,V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V5,V6,V4), P_plus-{F}(V6,V1,V7) | P_plus-{T}(V5,V7,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #131: mergings( V2 == V3, V3 == V6; #128 ), references = 1, size of lhs = 7:
% 2.53/2.70 P_n1-{F}(V0), P_p__0-{F}(V1), P_plus-{F}(V0,V0,V2), P_n0-{F}(V3), less-{F}(V3,V1), P_plus-{F}(V3,V0,V4), P_plus-{F}(V5,V4,V1) | P_s_7-{T}(V1,V5)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #133: exists( #65, #54 ), references = 4, size of lhs = 9:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6), #-{F} V7, V7 == V1 | P_s_1-{T}(V7,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #141: mergings( V0 == V3; #137 ), references = 1, size of lhs = 4:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V2,V1,V3), P_times-{F}(V0,V3,V4) | P_times-{T}(V0,V2,V4)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #143: mergings( V3 == V4; #138 ), references = 1, size of lhs = 5:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V2,V3,V0), P_plus-{F}(V3,V4,V5), P_times-{F}(V2,V5,V6) | P_times-{T}(V2,V4,V6)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #147: exists( #58, #24 ), references = 2, size of lhs = 5:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V2,V1,V3), P_times-{F}(V4,V2,V5), P_plus-{F}(V5,V4,V6) | P_times-{T}(V4,V3,V6)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #148: exists( #58, #20 ), references = 1, size of lhs = 6:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V2,V3,V4), P_times-{F}(V5,V2,V6), P_times-{F}(V5,V3,V7), P_plus-{F}(V6,V7,V8) | P_times-{T}(V5,V4,V8)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #171: exists( #58, #51 ), references = 1, size of lhs = 10:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V4,V1,V5), P_plus-{F}(V0,V1,V6), P_s_1-{F}(V7,V8), V7 == V1, P_s_4-{F}(V7,V9) | P_times-{T}(V8,V9,V7)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #183: mergings( V2 == V9, V3 == V10; #178 ), references = 1, size of lhs = 15:
% 2.53/2.70 P_p__0-{F}(V0), P_s_7-{F}(V0,V1), P_n0-{F}(V2), P_n1-{F}(V3), P_plus-{F}(V3,V3,V4), P_plus-{F}(V1,V3,V5), P_plus-{F}(V2,V3,V6), P_s_1-{F}(V7,V8), V7 == V3, less-{F}(V9,V8), less-{F}(V9,V10), less-{F}(V10,V8), P_plus-{F}(V9,V7,V11), P_plus-{F}(V10,V12,V11), P_times-{F}(V13,V8,V12) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #188: mergings( V2 == V9, V9 == V11, V3 == V10, V10 == V12; #179 ), references = 1, size of lhs = 15:
% 2.53/2.70 P_p__0-{F}(V0), P_s_7-{F}(V0,V1), P_n0-{F}(V2), P_n1-{F}(V3), P_plus-{F}(V3,V3,V4), P_plus-{F}(V1,V3,V5), P_plus-{F}(V2,V3,V6), P_s_1-{F}(V7,V8), V7 == V3, less-{F}(V9,V8), less-{F}(V9,V10), less-{F}(V10,V8), P_plus-{F}(V9,V7,V11), P_plus-{F}(V10,V12,V11), P_times-{F}(V13,V8,V12) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #197: mergings( V2 == V9, V9 == V11, V3 == V10, V10 == V12, V5 == V14, V4 == V13, V6 == V15, V7 == V16; #180 ), references = 1, size of lhs = 15:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V0,V1,V2), P_p__0-{F}(V3), less-{F}(V0,V3), P_s_1-{F}(V4,V3), V4 == V1, P_plus-{F}(V1,V1,V5), P_s_7-{F}(V3,V6), P_plus-{F}(V6,V1,V7), less-{F}(V0,V8), less-{F}(V8,V3), P_plus-{F}(V0,V4,V9), P_plus-{F}(V8,V10,V9), P_times-{F}(V11,V3,V10) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #217: mergings( V3 == V4, V4 == V11, V11 == V18, V5 == V12, V7 == V14, V10 == V17, V12 == V19, V6 == V13, V8 == V15, V9 == V16; #204 ), references = 4, size of lhs = 11:
% 2.53/2.70 P_p__0-{F}(V0), P_s_7-{F}(V0,V1), P_n0-{F}(V2), less-{F}(V2,V0), P_n1-{F}(V3), P_plus-{F}(V3,V3,V4), P_plus-{F}(V1,V3,V5), P_plus-{F}(V2,V3,V6), less-{F}(V2,V7), less-{F}(V7,V0), P_times-{F}(V8,V0,V9) | P_plus-{T}(V7,V9,V3)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #230: mergings( V3 == V4, V4 == V11, V11 == V18, V18 == V20, V5 == V12, V7 == V14, V10 == V17, V12 == V19, V19 == V21, V6 == V13, V8 == V15, V9 == V16; #205 ), references = 1, size of lhs = 11:
% 2.53/2.70 P_p__0-{F}(V0), P_s_7-{F}(V0,V1), P_n0-{F}(V2), less-{F}(V2,V0), P_n1-{F}(V3), P_plus-{F}(V3,V3,V4), P_plus-{F}(V1,V3,V5), P_plus-{F}(V2,V3,V6), less-{F}(V2,V7), less-{F}(V7,V0), P_times-{F}(V8,V0,V9) | P_plus-{T}(V7,V9,V3)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #245: mergings( V3 == V7, V7 == V14, V14 == V16, V4 == V8, V5 == V10, V6 == V13, V8 == V15, V15 == V17, V10 == V21, V9 == V18, V11 == V19, V12 == V20, V19 == V22, V20 == V23; #206 ), references = 1, size of lhs = 11:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V0,V1,V2), P_p__0-{F}(V3), less-{F}(V0,V3), P_plus-{F}(V1,V1,V4), P_s_7-{F}(V3,V5), P_plus-{F}(V5,V1,V6), less-{F}(V0,V7), less-{F}(V7,V3), P_times-{F}(V8,V3,V9) | P_plus-{T}(V7,V9,V1)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #260: mergings( V0 == V1, V1 == V8, V8 == V15, V15 == V19, V2 == V9, V4 == V11, V7 == V14, V9 == V16, V3 == V10, V5 == V12, V6 == V13; #246 ), references = 1, size of lhs = 12:
% 2.53/2.70 P_p__0-{F}(V0), P_s_7-{F}(V0,V1), P_n1-{F}(V2), less-{F}(V2,V0), P_plus-{F}(V2,V2,V3), P_plus-{F}(V1,V2,V4), P_n0-{F}(V5), less-{F}(V5,V2), less-{F}(V5,V0), P_plus-{F}(V5,V2,V6), P_times-{F}(V7,V0,V8), V8 == V5 | P_plus-{T}(V2,V8,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #272: mergings( V0 == V1, V1 == V8, V8 == V15, V15 == V19, V2 == V9, V4 == V11, V7 == V14, V9 == V16, V3 == V10, V5 == V12, V6 == V13; #247 ), references = 1, size of lhs = 12:
% 2.53/2.70 P_p__0-{F}(V0), P_s_7-{F}(V0,V1), P_n1-{F}(V2), less-{F}(V2,V0), P_plus-{F}(V2,V2,V3), P_plus-{F}(V1,V2,V4), P_n0-{F}(V5), less-{F}(V5,V2), less-{F}(V5,V0), P_plus-{F}(V5,V2,V6), P_times-{F}(V7,V0,V8), V8 == V5 | P_plus-{T}(V2,V8,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #284: mergings( V0 == V1, V1 == V8, V8 == V15, V15 == V20, V2 == V9, V4 == V11, V7 == V14, V9 == V16, V3 == V10, V5 == V12, V6 == V13; #248 ), references = 1, size of lhs = 13:
% 2.53/2.70 P_p__0-{F}(V0), P_s_7-{F}(V0,V1), P_n1-{F}(V2), P_plus-{F}(V2,V2,V3), P_plus-{F}(V1,V2,V4), P_n0-{F}(V5), less-{F}(V5,V0), P_plus-{F}(V5,V2,V6), less-{F}(V5,V7), less-{F}(V7,V0), P_plus-{F}(V7,V8,V2), P_times-{F}(V9,V0,V10), V8 == V10 | P_plus-{T}(V7,V10,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #299: exists( #57, #5 ), references = 2, size of lhs = 2:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V1,V2,V3) | P_plus-{T}(V2,V1,V3)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #300: exists( #57, #21 ), references = 1, size of lhs = 6:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_times-{F}(V2,V3,V4), P_times-{F}(V2,V5,V6), P_plus-{F}(V5,V3,V7), P_times-{F}(V2,V7,V8) | P_plus-{T}(V4,V6,V8)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #307: disj( #31, input ), references = 1, size of lhs = 9:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), less-{F}(V2,V3), less-{F}(V4,V3), V4 == V2, P_times-{F}(V5,V3,V6), P_plus-{F}(V2,V6,V7), P_plus-{F}(V4,V8,V7), P_times-{F}(V9,V3,V8) | less-{T}(V2,V4)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #310: mergings( V0 == V4, V1 == V5; #306 ), references = 1, size of lhs = 9:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), less-{F}(V2,V3), less-{F}(V4,V3), V4 == V2, P_times-{F}(V5,V3,V6), P_plus-{F}(V4,V6,V7), P_plus-{F}(V2,V8,V7), P_times-{F}(V9,V3,V8) | less-{T}(V2,V4)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #317: mergings( V0 == V4, V1 == V5; #313 ), references = 1, size of lhs = 13:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), less-{F}(V2,V3), P_times-{F}(V4,V3,V5), P_plus-{F}(V2,V5,V6), P_times-{F}(V7,V3,V8), P_plus-{F}(V9,V8,V6), V3 == V9, V9 == V2, P_times-{F}(V10,V3,V11), P_plus-{F}(V9,V11,V12), P_plus-{F}(V2,V13,V12), P_times-{F}(V14,V3,V13) | less-{T}(V3,V9)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #322: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7; #314 ), references = 1, size of lhs = 13:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), less-{F}(V2,V3), P_times-{F}(V4,V3,V5), P_plus-{F}(V2,V5,V6), P_times-{F}(V7,V3,V8), P_plus-{F}(V9,V8,V6), V3 == V9, V9 == V2, P_times-{F}(V10,V3,V11), P_plus-{F}(V2,V11,V12), P_plus-{F}(V9,V13,V12), P_times-{F}(V14,V3,V13) | less-{T}(V3,V9)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #347: mergings( V2 == V3, V3 == V6, V4 == V7, V5 == V8, V7 == V9; #340 ), references = 1, size of lhs = 9:
% 2.53/2.70 P_p__0-{F}(V0), P_n0-{F}(V1), less-{F}(V1,V0), P_n1-{F}(V2), P_plus-{F}(V1,V2,V2), P_plus-{F}(V2,V2,V3), P_s_1-{F}(V4,V5), V4 == V2, V5 == V0 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #354: mergings( V2 == V3, V3 == V7, V4 == V8, V6 == V9, V8 == V10; #348 ), references = 1, size of lhs = 8:
% 2.53/2.70 P_p__0-{F}(V0), P_n0-{F}(V1), less-{F}(V1,V0), P_n1-{F}(V2), P_plus-{F}(V1,V2,V2), P_plus-{F}(V2,V2,V3), #-{F} V4, V4 == V2 | P_s_1-{T}(V4,V0)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #368: mergings( V2 == V3, V3 == V6, V4 == V7, V5 == V8, V7 == V9; #362 ), references = 1, size of lhs = 11:
% 2.53/2.70 P_p__0-{F}(V0), P_n0-{F}(V1), less-{F}(V1,V0), P_n1-{F}(V2), P_plus-{F}(V1,V2,V2), P_plus-{F}(V2,V2,V3), P_s_1-{F}(V4,V5), V4 == V2, P_s_4-{F}(V4,V6), P_times-{F}(V5,V6,V7), V7 == V4 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #396: mergings( V2 == V3, V3 == V7, V7 == V10, V4 == V6, V5 == V8, V6 == V9; #387 ), references = 1, size of lhs = 10:
% 2.53/2.70 P_p__0-{F}(V0), P_n1-{F}(V1), less-{F}(V1,V0), P_plus-{F}(V1,V1,V2), P_n0-{F}(V3), less-{F}(V3,V0), less-{F}(V3,V1), P_plus-{F}(V3,V1,V1), P_times-{F}(V4,V0,V5), V5 == V3 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #403: mergings( V2 == V3, V3 == V7, V7 == V10, V4 == V6, V5 == V8, V6 == V9; #388 ), references = 1, size of lhs = 10:
% 2.53/2.70 P_p__0-{F}(V0), P_n1-{F}(V1), less-{F}(V1,V0), P_plus-{F}(V1,V1,V2), P_n0-{F}(V3), less-{F}(V3,V0), less-{F}(V3,V1), P_plus-{F}(V3,V1,V1), P_times-{F}(V4,V0,V5), V5 == V3 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #410: mergings( V2 == V3, V3 == V7, V7 == V11, V4 == V6, V5 == V8, V6 == V9; #389 ), references = 1, size of lhs = 11:
% 2.53/2.70 P_p__0-{F}(V0), P_n1-{F}(V1), P_plus-{F}(V1,V1,V2), P_n0-{F}(V3), less-{F}(V3,V0), P_plus-{F}(V3,V1,V1), less-{F}(V3,V4), less-{F}(V4,V0), P_plus-{F}(V4,V5,V1), P_times-{F}(V6,V0,V7), V5 == V7 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #418: mergings( V2 == V3, V3 == V5, V0 == V6, V5 == V7; #411 ), references = 1, size of lhs = 9:
% 2.53/2.70 P_p__0-{F}(V0), P_n1-{F}(V1), less-{F}(V1,V0), P_n0-{F}(V2), less-{F}(V2,V0), less-{F}(V2,V1), P_plus-{F}(V2,V1,V1), P_times-{F}(V3,V0,V4), V4 == V2 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #423: mergings( V2 == V3, V3 == V5, V0 == V6, V5 == V7; #412 ), references = 1, size of lhs = 9:
% 2.53/2.70 P_p__0-{F}(V0), P_n1-{F}(V1), less-{F}(V1,V0), P_n0-{F}(V2), less-{F}(V2,V0), less-{F}(V2,V1), P_plus-{F}(V2,V1,V1), P_times-{F}(V3,V0,V4), V4 == V2 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #428: mergings( V2 == V3, V3 == V5, V0 == V6, V5 == V8; #413 ), references = 1, size of lhs = 10:
% 2.53/2.70 P_p__0-{F}(V0), P_n1-{F}(V1), P_n0-{F}(V2), less-{F}(V2,V0), P_plus-{F}(V2,V1,V1), less-{F}(V2,V3), less-{F}(V3,V0), P_plus-{F}(V3,V4,V1), P_times-{F}(V5,V0,V6), V4 == V6 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #464: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V13 == V15, V14 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V15; #447 ), references = 1, size of lhs = 6:
% 2.53/2.70 P_n1-{F}(V0), P_n0-{F}(V1), less-{F}(V1,V0), P_plus-{F}(V1,V0,V0), P_times-{F}(V2,V0,V1), P_times-{F}(V3,V0,V1) | P_p__0-{T}(V1), P_p__0-{T}(V0)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #479: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V13 == V15, V14 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V15; #448 ), references = 1, size of lhs = 6:
% 2.53/2.70 P_n1-{F}(V0), P_n0-{F}(V1), less-{F}(V1,V0), P_plus-{F}(V1,V0,V0), P_times-{F}(V2,V0,V1), P_times-{F}(V3,V0,V1) | P_p__0-{T}(V1), P_p__0-{T}(V0)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #495: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V14 == V16, V15 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16; #449 ), references = 1, size of lhs = 7:
% 2.53/2.70 P_n1-{F}(V0), P_n0-{F}(V1), less-{F}(V1,V0), P_plus-{F}(V1,V0,V0), P_plus-{F}(V0,V2,V0), P_times-{F}(V3,V0,V1), P_times-{F}(V4,V0,V1) | P_p__0-{T}(V0), P_p__0-{T}(V1), P_p__0-{T}(V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #503: mergings( V3 == V4; #499 ), references = 1, size of lhs = 9:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_s_7-{F}(V2,V4), P_plus-{F}(V0,V1,V5), P_times-{F}(V6,V7,V2), V6 == V1, V6 == V2 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #506: mergings( V2 == V3; #504 ), references = 1, size of lhs = 8:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V1,V1,V3), P_plus-{F}(V0,V1,V4), P_times-{F}(V5,V6,V2), V5 == V1, V5 == V2 | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #514: mergings( V2 == V3, V3 == V5, V5 == V6, V4 == V0; #509 ), references = 1, size of lhs = 6:
% 2.53/2.70 P_n0-{F}(V0), P_n1-{F}(V1), P_p__0-{F}(V2), P_plus-{F}(V0,V1,V3), P_times-{F}(V4,V1,V5), P_plus-{F}(V5,V4,V2) | P_plus-{T}(V1,V1,V1), P_plus-{T}(V1,V1,V2)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #521: mergings( V0 == V1, V1 == V3, V3 == V4, V4 == V10, V2 == V5; #515 ), references = 1, size of lhs = 6:
% 2.53/2.70 P_p__0-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_plus-{F}(V1,V2,V3), P_times-{F}(V4,V2,V5), P_plus-{F}(V5,V4,V0) | P_plus-{T}(V2,V2,V0)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #558: mergings( V0 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V12 == V14, V13 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V1, V1 == V23, V23 == V28, V28 == V29, V29 == V31, V31 == V32, V32 == V15, V15 == V33, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V20, V20 == V24, V24 == V25, V25 == V30, V30 == V34, V34 == V35; #524 ), references = 2, size of lhs = 10:
% 2.53/2.70 P_n0-{F}(V0), less-{F}(V0,V1), P_n1-{F}(V1), P_plus-{F}(V0,V1,V1), P_times-{F}(V2,V1,V0), P_times-{F}(V3,V1,V0), P_times-{F}(V4,V1,V5), P_plus-{F}(V5,V4,V0), P_times-{F}(V6,V1,V7), P_plus-{F}(V7,V6,V0) | P_p__0-{T}(V1)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #590: mergings( V0 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V12 == V14, V13 == V15, V15 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V1, V1 == V23, V23 == V28, V28 == V29, V29 == V31, V31 == V32, V32 == V33, V33 == V34, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V20, V20 == V24, V24 == V25, V25 == V30, V30 == V35, V35 == V36; #525 ), references = 1, size of lhs = 11:
% 2.53/2.70 P_n0-{F}(V0), less-{F}(V0,V1), P_n1-{F}(V1), P_plus-{F}(V1,V0,V1), P_plus-{F}(V0,V1,V1), P_times-{F}(V2,V1,V0), P_times-{F}(V3,V1,V0), P_times-{F}(V4,V1,V5), P_plus-{F}(V5,V4,V0), P_times-{F}(V6,V1,V7), P_plus-{F}(V7,V6,V0) | P_p__0-{T}(V1)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #622: mergings( V0 == V1, V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V12 == V14, V13 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V29, V29 == V30, V30 == V32, V32 == V33, V33 == V15, V15 == V34, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V20, V20 == V25, V25 == V26, V26 == V31, V31 == V35, V35 == V36; #526 ), references = 1, size of lhs = 11:
% 2.53/2.70 P_n0-{F}(V0), less-{F}(V0,V1), P_plus-{F}(V1,V0,V1), P_n1-{F}(V1), P_plus-{F}(V0,V1,V1), P_times-{F}(V2,V1,V0), P_times-{F}(V3,V1,V0), P_times-{F}(V4,V1,V5), P_plus-{F}(V5,V4,V0), P_times-{F}(V6,V1,V7), P_plus-{F}(V7,V6,V0) | P_p__0-{T}(V1)
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #635: mergings( V1 == V2, V2 == V3; #632 ), references = 1, size of lhs = 2:
% 2.53/2.70 P_n0-{F}(V0), P_plus-{F}(V0,V0,V0) | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 #638: exists( #59, #636 ), references = 1, size of lhs = 0:
% 2.53/2.70 FALSE | FALSE
% 2.53/2.70 (used 0 times, uses = {})
% 2.53/2.70
% 2.53/2.70 number of learnt formulas = 56
% 2.53/2.70
% 2.53/2.70
% 2.53/2.70 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.53/2.70
% 2.53/2.70 randbase = 1
%------------------------------------------------------------------------------