TSTP Solution File: SET858-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET858-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:16:51 EDT 2022
% Result : Unsatisfiable 3.67s 3.86s
% Output : Refutation 3.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET858-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 02:39:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.67/3.86 GeoParameters:
% 3.67/3.86
% 3.67/3.86 tptp_input = 1
% 3.67/3.86 tptp_output = 0
% 3.67/3.86 nonempty = 1
% 3.67/3.86 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.67/3.86 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.67/3.86
% 3.67/3.86
% 3.67/3.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.67/3.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.67/3.86
% 3.67/3.86 RuleSystem INPUT:
% 3.67/3.86
% 3.67/3.86 Initial Rules:
% 3.67/3.86 #0: input, references = 6, size of lhs = 6:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5) | c_in-{T}(V0,V3,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1: input, references = 4, size of lhs = 7:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6) | c_in-{T}(V6,V3,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #2: input, references = 11, size of lhs = 8:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), c_lessequals-{F}(V6,V0,V5) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #3: input, references = 16, size of lhs = 8:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), c_lessequals-{F}(V0,V6,V5) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #4: input, references = 20, size of lhs = 10:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_tc_set-{F}(V8,V10), c_lessequals-{F}(V11,V7,V10), c_lessequals-{F}(V9,V11,V10) | c_lessequals-{T}(V9,V7,V10)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #5: input, references = 6, size of lhs = 10:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_c_Zorn_Osucc-{F}(V9,V8,V7,V10), P_tc_set-{F}(V7,V11), P_tc_set-{F}(V11,V12) | c_lessequals-{T}(V8,V10,V12)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #6: input, references = 7, size of lhs = 14:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_c_Zorn_OTFin-{F}(V8,V7,V10), P_tc_set-{F}(V7,V11), P_tc_set-{F}(V11,V12), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V8,V9,V7,V13), P_c_Zorn_Osucc-{F}(V8,V9,V7,V14), c_in-{F}(V9,V10,V12), c_in-{F}(V15,V10,V12) | c_in-{T}(V13,V10,V12), c_lessequals-{T}(V15,V9,V12), c_lessequals-{T}(V14,V15,V12)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #7: input, references = 5, size of lhs = 14:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_c_Zorn_OTFin-{F}(V8,V7,V10), P_tc_set-{F}(V7,V11), P_tc_set-{F}(V11,V12), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V8,V9,V7,V13), P_c_Zorn_Osucc-{F}(V8,V9,V7,V14), c_in-{F}(V9,V10,V12), c_in-{F}(V15,V10,V12) | c_lessequals-{T}(V13,V9,V12), c_lessequals-{T}(V15,V9,V12), c_lessequals-{T}(V14,V15,V12)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #8: input, references = 4, size of lhs = 14:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_c_Zorn_OTFin-{F}(V8,V7,V10), P_tc_set-{F}(V7,V11), P_tc_set-{F}(V11,V12), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V8,V9,V7,V9), P_c_Zorn_Osucc-{F}(V8,V9,V7,V14), c_in-{F}(V9,V10,V12), c_in-{F}(V15,V10,V12) | c_lessequals-{T}(V15,V9,V12), c_lessequals-{T}(V14,V15,V12)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #9: input, references = 4, size of lhs = 16:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_c_Zorn_OTFin-{F}(V8,V7,V10), P_tc_set-{F}(V7,V11), P_tc_set-{F}(V11,V12), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V8,V9,V7,V13), P_c_Zorn_Osucc-{F}(V8,V13,V7,V14), P_c_Zorn_Osucc-{F}(V8,V9,V7,V15), c_in-{F}(V9,V10,V12), c_lessequals-{F}(V14,V9,V12), c_in-{F}(V16,V10,V12) | c_lessequals-{T}(V16,V9,V12), c_lessequals-{T}(V15,V16,V12)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #10: input, references = 7, size of lhs = 15:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_tc_set-{F}(V9,V10), P_tc_set-{F}(V10,V11), c_lessequals-{F}(V8,V7,V11), P_c_Zorn_OTFin-{F}(V12,V9,V13), P_c_Zorn_Osucc-{F}(V12,V8,V9,V14), c_in-{F}(V8,V13,V11), c_in-{F}(V7,V13,V11), V8 == V7 | c_lessequals-{T}(V14,V7,V11)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #11: input, references = 4, size of lhs = 0:
% 3.67/3.86 FALSE | EXISTS V0: P_v_m-{T}(V0)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #12: input, references = 5, size of lhs = 2:
% 3.67/3.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Zorn_OTFin-{T}(V0,V1,V2)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #13: input, references = 4, size of lhs = 0:
% 3.67/3.86 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #14: input, references = 4, size of lhs = 0:
% 3.67/3.86 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #15: input, references = 7, size of lhs = 1:
% 3.67/3.86 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #16: input, references = 4, size of lhs = 0:
% 3.67/3.86 FALSE | EXISTS V0: P_v_n-{T}(V0)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #17: input, references = 6, size of lhs = 3:
% 3.67/3.86 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Zorn_Osucc-{T}(V0,V1,V2,V3)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #18: input, references = 6, size of lhs = 3:
% 3.67/3.86 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Zorn_OTFin__linear__lemma1__1-{T}(V0,V1,V2,V3)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 number of initial rules = 19
% 3.67/3.86
% 3.67/3.86 Simplifiers:
% 3.67/3.86 #19: unsound, references = 3, size of lhs = 3:
% 3.67/3.86 P_v_m-{F}(V0), P_v_m-{F}(V1), V0 == V1 | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #20: unsound, references = 3, size of lhs = 3:
% 3.67/3.86 P_c_Zorn_OTFin-{F}(V0,V1,V2), P_c_Zorn_OTFin-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #21: unsound, references = 3, size of lhs = 3:
% 3.67/3.86 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #22: unsound, references = 3, size of lhs = 3:
% 3.67/3.86 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #23: unsound, references = 3, size of lhs = 3:
% 3.67/3.86 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #24: unsound, references = 3, size of lhs = 3:
% 3.67/3.86 P_v_n-{F}(V0), P_v_n-{F}(V1), V0 == V1 | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #25: unsound, references = 3, size of lhs = 3:
% 3.67/3.86 P_c_Zorn_Osucc-{F}(V0,V1,V2,V3), P_c_Zorn_Osucc-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #26: unsound, references = 3, size of lhs = 3:
% 3.67/3.86 P_c_Zorn_OTFin__linear__lemma1__1-{F}(V0,V1,V2,V3), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 number of simplifiers = 8
% 3.67/3.86
% 3.67/3.86 Learnt:
% 3.67/3.86 #132: mergings( V0 == V12, V1 == V15, V2 == V16, V3 == V17, V4 == V18, V5 == V11, V6 == V14; #123 ), references = 4, size of lhs = 14:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V7), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V9,V0,V8,V0), P_c_Zorn_OTFin-{F}(V9,V8,V10), c_in-{F}(V0,V10,V5), c_in-{F}(V6,V10,V5), P_c_Zorn_Osucc-{F}(V9,V0,V8,V11) | c_lessequals-{T}(V11,V6,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #140: mergings( V0 == V14, V1 == V15, V2 == V16, V3 == V17, V4 == V18, V5 == V11, V6 == V12; #124 ), references = 1, size of lhs = 14:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V7), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V9,V6,V8,V6), P_c_Zorn_OTFin-{F}(V9,V8,V10), c_in-{F}(V6,V10,V5), c_in-{F}(V0,V10,V5), P_c_Zorn_Osucc-{F}(V9,V6,V8,V11) | c_lessequals-{T}(V11,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #234: mergings( V0 == V15, V15 == V22, V22 == V31, V31 == V12, V1 == V16, V16 == V23, V23 == V32, V32 == V38, V2 == V17, V3 == V18, V17 == V24, V18 == V25, V24 == V33, V25 == V34, V33 == V39, V34 == V40, V4 == V19, V5 == V20, V19 == V26, V20 == V11, V26 == V35, V11 == V36, V35 == V41, V6 == V21, V21 == V27, V27 == V37, V37 == V12; #203 ), references = 1, size of lhs = 20:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V7), c_lessequals-{F}(V9,V0,V5), V9 == V0, P_c_Zorn_OTFin__linear__lemma1__1-{F}(V10,V0,V8,V9), P_c_Zorn_OTFin-{F}(V10,V8,V11), c_in-{F}(V0,V11,V5), P_c_Zorn_Osucc-{F}(V10,V0,V8,V12), P_tc_set-{F}(V13,V5), P_tc_set-{F}(V14,V13), P_c_Zorn_Osucc-{F}(V15,V9,V14,V0), P_c_Zorn_OTFin-{F}(V15,V14,V11) | c_lessequals-{T}(V12,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #262: mergings( V0 == V15, V15 == V22, V22 == V31, V31 == V12, V1 == V16, V16 == V23, V23 == V32, V32 == V38, V2 == V17, V3 == V18, V17 == V24, V18 == V25, V24 == V33, V25 == V34, V33 == V39, V34 == V40, V4 == V19, V5 == V20, V19 == V26, V20 == V11, V26 == V35, V11 == V36, V35 == V41, V6 == V21, V21 == V27, V27 == V37, V37 == V12; #204 ), references = 1, size of lhs = 20:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V7), c_lessequals-{F}(V9,V0,V5), V9 == V0, P_c_Zorn_OTFin__linear__lemma1__1-{F}(V10,V0,V8,V9), P_c_Zorn_OTFin-{F}(V10,V8,V11), c_in-{F}(V0,V11,V5), P_c_Zorn_Osucc-{F}(V10,V0,V8,V12), P_tc_set-{F}(V13,V5), P_tc_set-{F}(V14,V13), P_c_Zorn_Osucc-{F}(V15,V9,V14,V0), P_c_Zorn_OTFin-{F}(V15,V14,V11) | c_lessequals-{T}(V12,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #290: mergings( V0 == V15, V15 == V22, V22 == V31, V31 == V12, V1 == V16, V16 == V23, V23 == V32, V32 == V38, V2 == V17, V3 == V18, V17 == V24, V18 == V25, V24 == V33, V25 == V34, V33 == V39, V34 == V40, V4 == V19, V5 == V20, V19 == V26, V20 == V11, V26 == V35, V11 == V36, V35 == V41, V6 == V21, V21 == V27, V27 == V37, V37 == V12; #205 ), references = 1, size of lhs = 20:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V7), c_lessequals-{F}(V9,V0,V5), V9 == V0, P_c_Zorn_OTFin__linear__lemma1__1-{F}(V10,V0,V8,V9), P_c_Zorn_OTFin-{F}(V10,V8,V11), c_in-{F}(V0,V11,V5), P_c_Zorn_Osucc-{F}(V10,V0,V8,V12), P_tc_set-{F}(V13,V5), P_tc_set-{F}(V14,V13), P_c_Zorn_Osucc-{F}(V15,V9,V14,V0), P_c_Zorn_OTFin-{F}(V15,V14,V11) | c_lessequals-{T}(V12,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #361: mergings( V0 == V15, V15 == V28, V28 == V12, V1 == V16, V16 == V22, V22 == V29, V29 == V35, V2 == V17, V3 == V18, V17 == V23, V18 == V24, V23 == V30, V24 == V31, V30 == V36, V31 == V37, V4 == V19, V5 == V20, V19 == V25, V20 == V11, V25 == V32, V11 == V33, V32 == V38, V6 == V21, V21 == V27, V27 == V34, V34 == V12; #331 ), references = 1, size of lhs = 16:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), c_in-{F}(V0,V10,V5), P_c_Zorn_OTFin-{F}(V11,V9,V10), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V11,V0,V9,V12), c_lessequals-{F}(V0,V12,V5), P_c_Zorn_Osucc-{F}(V11,V0,V9,V13) | c_lessequals-{T}(V13,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #388: mergings( V0 == V15, V15 == V28, V28 == V12, V1 == V16, V16 == V22, V22 == V29, V29 == V35, V2 == V17, V3 == V18, V17 == V23, V18 == V24, V23 == V30, V24 == V31, V30 == V36, V31 == V37, V4 == V19, V5 == V20, V19 == V25, V20 == V11, V25 == V32, V11 == V33, V32 == V38, V6 == V21, V21 == V27, V27 == V34, V34 == V12; #332 ), references = 1, size of lhs = 16:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), c_in-{F}(V0,V10,V5), P_c_Zorn_OTFin-{F}(V11,V9,V10), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V11,V0,V9,V12), c_lessequals-{F}(V0,V12,V5), P_c_Zorn_Osucc-{F}(V11,V0,V9,V13) | c_lessequals-{T}(V13,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #415: mergings( V0 == V15, V15 == V22, V22 == V28, V28 == V12, V1 == V16, V16 == V23, V23 == V29, V29 == V35, V2 == V17, V3 == V18, V17 == V24, V18 == V25, V24 == V30, V25 == V31, V30 == V36, V31 == V37, V4 == V19, V5 == V20, V19 == V26, V20 == V11, V26 == V32, V11 == V33, V32 == V38, V6 == V21, V21 == V34, V34 == V12; #333 ), references = 1, size of lhs = 16:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), c_in-{F}(V0,V10,V5), P_c_Zorn_OTFin-{F}(V11,V9,V10), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V11,V0,V9,V12), c_lessequals-{F}(V0,V12,V5), P_c_Zorn_Osucc-{F}(V11,V0,V9,V13) | c_lessequals-{T}(V13,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #543: mergings( V0 == V12, V1 == V17, V2 == V18, V3 == V19, V4 == V20, V5 == V11, V6 == V16; #534 ), references = 3, size of lhs = 16:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V7), c_in-{F}(V0,V9,V5), c_in-{F}(V6,V9,V5), P_c_Zorn_OTFin-{F}(V10,V8,V9), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V10,V0,V8,V11), P_c_Zorn_Osucc-{F}(V10,V11,V8,V12), c_lessequals-{F}(V12,V0,V5), P_c_Zorn_Osucc-{F}(V10,V0,V8,V13) | c_lessequals-{T}(V13,V6,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #551: mergings( V0 == V16, V1 == V17, V2 == V18, V3 == V19, V4 == V20, V5 == V11, V6 == V12; #535 ), references = 1, size of lhs = 16:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_n-{F}(V6), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V7), c_in-{F}(V6,V9,V5), c_in-{F}(V0,V9,V5), P_c_Zorn_OTFin-{F}(V10,V8,V9), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V10,V6,V8,V11), P_c_Zorn_Osucc-{F}(V10,V11,V8,V12), c_lessequals-{F}(V12,V6,V5), P_c_Zorn_Osucc-{F}(V10,V6,V8,V13) | c_lessequals-{T}(V13,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #585: mergings( V4 == V11, V11 == V17, V17 == V24, V32 == V34, V5 == V12, V12 == V18, V18 == V25, V6 == V13, V7 == V14, V13 == V19, V14 == V20, V19 == V26, V20 == V27, V8 == V15, V9 == V16, V15 == V21, V16 == V22, V21 == V28, V31 == V33, V10 == V23, V23 == V30; #562 ), references = 1, size of lhs = 19:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_v_n-{F}(V7), c_lessequals-{F}(V8,V0,V5), V8 == V0, P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V11,V0,V10,V8), P_c_Zorn_OTFin-{F}(V11,V10,V12), c_in-{F}(V8,V12,V5), c_in-{F}(V0,V12,V5), c_in-{F}(V7,V12,V5), P_c_Zorn_Osucc-{F}(V11,V0,V10,V13), c_lessequals-{F}(V0,V13,V5) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #608: mergings( V4 == V11, V11 == V17, V17 == V18, V32 == V34, V5 == V12, V12 == V19, V19 == V25, V6 == V13, V7 == V14, V13 == V20, V14 == V21, V20 == V26, V21 == V27, V8 == V15, V9 == V16, V15 == V22, V16 == V23, V22 == V28, V31 == V33, V10 == V18, V18 == V24, V24 == V30; #563 ), references = 1, size of lhs = 18:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), c_lessequals-{F}(V7,V0,V5), V7 == V0, P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V10,V0,V9,V7), P_c_Zorn_OTFin-{F}(V10,V9,V11), c_in-{F}(V7,V11,V5), c_in-{F}(V0,V11,V5), P_c_Zorn_Osucc-{F}(V10,V0,V9,V12), c_lessequals-{F}(V0,V12,V5) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #646: mergings( V0 == V16, V16 == V27, V27 == V34, V34 == V12, V45 == V46, V1 == V17, V17 == V23, V23 == V28, V28 == V35, V35 == V48, V2 == V18, V3 == V19, V18 == V24, V19 == V25, V24 == V29, V25 == V30, V29 == V36, V30 == V37, V36 == V49, V37 == V50, V4 == V20, V5 == V21, V20 == V26, V21 == V11, V26 == V31, V11 == V32, V31 == V38, V38 == V51, V41 == V43, V6 == V22, V22 == V33, V33 == V40, V40 == V15; #609 ), references = 3, size of lhs = 25:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_v_n-{F}(V7), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), c_in-{F}(V0,V10,V5), c_in-{F}(V7,V10,V5), P_c_Zorn_OTFin-{F}(V11,V9,V10), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V11,V0,V9,V12), V12 == V0, P_c_Zorn_Osucc-{F}(V11,V0,V9,V13), P_tc_set-{F}(V14,V5), P_tc_set-{F}(V15,V14), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V16,V0,V15,V12), P_c_Zorn_OTFin-{F}(V16,V15,V17), c_in-{F}(V12,V17,V5), c_in-{F}(V0,V17,V5), c_in-{F}(V7,V17,V5), P_c_Zorn_Osucc-{F}(V16,V0,V15,V18), c_lessequals-{F}(V0,V18,V5) | c_lessequals-{T}(V13,V7,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #681: mergings( V0 == V16, V16 == V12, V12 == V27, V27 == V34, V34 == V15, V45 == V46, V1 == V17, V17 == V23, V23 == V28, V28 == V35, V35 == V48, V2 == V18, V3 == V19, V18 == V24, V19 == V25, V24 == V29, V25 == V30, V29 == V36, V30 == V37, V36 == V49, V37 == V50, V4 == V20, V5 == V21, V20 == V26, V21 == V11, V26 == V31, V11 == V32, V31 == V38, V38 == V51, V41 == V43, V6 == V22, V22 == V15, V15 == V33, V33 == V40; #610 ), references = 1, size of lhs = 23:
% 3.67/3.86 P_v_n-{F}(V0), P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V7), c_in-{F}(V0,V9,V5), P_c_Zorn_OTFin-{F}(V10,V8,V9), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V10,V0,V8,V11), V11 == V0, P_c_Zorn_Osucc-{F}(V10,V0,V8,V12), P_tc_set-{F}(V13,V5), P_tc_set-{F}(V14,V13), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V15,V0,V14,V11), P_c_Zorn_OTFin-{F}(V15,V14,V16), c_in-{F}(V11,V16,V5), c_in-{F}(V0,V16,V5), P_c_Zorn_Osucc-{F}(V15,V0,V14,V17), c_lessequals-{F}(V0,V17,V5) | c_lessequals-{T}(V12,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #716: mergings( V0 == V16, V16 == V27, V27 == V28, V28 == V12, V45 == V46, V1 == V17, V17 == V23, V23 == V29, V29 == V35, V35 == V48, V2 == V18, V3 == V19, V18 == V24, V19 == V25, V24 == V30, V25 == V31, V30 == V36, V31 == V37, V36 == V49, V37 == V50, V4 == V20, V5 == V21, V20 == V26, V21 == V11, V26 == V32, V11 == V33, V32 == V38, V38 == V51, V41 == V43, V6 == V22, V22 == V12, V12 == V34, V34 == V40, V40 == V15; #611 ), references = 1, size of lhs = 23:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V7), c_in-{F}(V0,V9,V5), P_c_Zorn_OTFin-{F}(V10,V8,V9), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V10,V0,V8,V11), V11 == V0, P_c_Zorn_Osucc-{F}(V10,V0,V8,V12), P_tc_set-{F}(V13,V5), P_tc_set-{F}(V14,V13), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V15,V0,V14,V11), P_c_Zorn_OTFin-{F}(V15,V14,V16), c_in-{F}(V11,V16,V5), c_in-{F}(V0,V16,V5), P_c_Zorn_Osucc-{F}(V15,V0,V14,V17), c_lessequals-{F}(V0,V17,V5) | c_lessequals-{T}(V12,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #792: mergings( V0 == V15, V15 == V22, V22 == V33, V33 == V40, V40 == V47, V47 == V52, V52 == V59, V59 == V77, V77 == V12, V9 == V75, V1 == V16, V16 == V23, V23 == V29, V29 == V34, V34 == V41, V41 == V48, V48 == V53, V53 == V60, V60 == V78, V78 == V84, V2 == V17, V3 == V18, V17 == V24, V18 == V25, V24 == V30, V25 == V31, V30 == V35, V31 == V36, V35 == V42, V36 == V43, V42 == V49, V43 == V50, V49 == V54, V50 == V55, V54 == V61, V55 == V62, V61 == V79, V62 == V80, V79 == V85, V80 == V86, V4 == V19, V5 == V20, V19 == V26, V20 == V27, V26 == V32, V27 == V11, V32 == V37, V11 == V38, V37 == V44, V44 == V51, V51 == V56, V38 == V57, V56 == V63, V63 == V81, V57 == V82, V81 == V87, V71 == V73, V6 == V21, V21 == V28, V28 == V39, V39 == V46, V46 == V58, V58 == V65, V65 == V83, V83 == V12; #723 ), references = 1, size of lhs = 30:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), P_tc_set-{F}(V11,V5), P_tc_set-{F}(V12,V11), c_in-{F}(V0,V13,V5), P_c_Zorn_OTFin-{F}(V14,V12,V13), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V14,V0,V12,V15), V15 == V0, P_c_Zorn_OTFin__linear__lemma1__1-{F}(V16,V0,V10,V15), P_c_Zorn_OTFin-{F}(V16,V10,V17), c_in-{F}(V0,V17,V5), P_c_Zorn_Osucc-{F}(V16,V0,V10,V18), P_c_Zorn_Osucc-{F}(V14,V0,V12,V19), c_lessequals-{F}(V0,V19,V5), P_tc_set-{F}(V20,V5), P_tc_set-{F}(V21,V20), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V22,V0,V21,V15), P_c_Zorn_OTFin-{F}(V22,V21,V17), P_c_Zorn_Osucc-{F}(V22,V0,V21,V23), c_lessequals-{F}(V0,V23,V5) | c_lessequals-{T}(V18,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #858: mergings( V0 == V15, V15 == V22, V22 == V33, V33 == V40, V40 == V47, V47 == V52, V52 == V59, V59 == V77, V77 == V12, V9 == V75, V1 == V16, V16 == V23, V23 == V29, V29 == V34, V34 == V41, V41 == V48, V48 == V53, V53 == V60, V60 == V78, V78 == V84, V2 == V17, V3 == V18, V17 == V24, V18 == V25, V24 == V30, V25 == V31, V30 == V35, V31 == V36, V35 == V42, V36 == V43, V42 == V49, V43 == V50, V49 == V54, V50 == V55, V54 == V61, V55 == V62, V61 == V79, V62 == V80, V79 == V85, V80 == V86, V4 == V19, V5 == V20, V19 == V26, V20 == V27, V26 == V32, V27 == V11, V32 == V37, V11 == V38, V37 == V44, V44 == V51, V51 == V56, V38 == V57, V56 == V63, V63 == V81, V57 == V82, V81 == V87, V71 == V73, V6 == V21, V21 == V28, V28 == V39, V39 == V46, V46 == V58, V58 == V65, V65 == V83, V83 == V12; #724 ), references = 1, size of lhs = 30:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), P_tc_set-{F}(V11,V5), P_tc_set-{F}(V12,V11), c_in-{F}(V0,V13,V5), P_c_Zorn_OTFin-{F}(V14,V12,V13), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V14,V0,V12,V15), V15 == V0, P_c_Zorn_OTFin__linear__lemma1__1-{F}(V16,V0,V10,V15), P_c_Zorn_OTFin-{F}(V16,V10,V17), c_in-{F}(V0,V17,V5), P_c_Zorn_Osucc-{F}(V16,V0,V10,V18), P_c_Zorn_Osucc-{F}(V14,V0,V12,V19), c_lessequals-{F}(V0,V19,V5), P_tc_set-{F}(V20,V5), P_tc_set-{F}(V21,V20), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V22,V0,V21,V15), P_c_Zorn_OTFin-{F}(V22,V21,V17), P_c_Zorn_Osucc-{F}(V22,V0,V21,V23), c_lessequals-{F}(V0,V23,V5) | c_lessequals-{T}(V18,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #924: mergings( V0 == V15, V15 == V22, V22 == V33, V33 == V40, V40 == V47, V47 == V52, V52 == V53, V53 == V77, V77 == V12, V9 == V75, V1 == V16, V16 == V23, V23 == V29, V29 == V34, V34 == V41, V41 == V48, V48 == V54, V54 == V60, V60 == V78, V78 == V84, V2 == V17, V3 == V18, V17 == V24, V18 == V25, V24 == V30, V25 == V31, V30 == V35, V31 == V36, V35 == V42, V36 == V43, V42 == V49, V43 == V50, V49 == V55, V50 == V56, V55 == V61, V56 == V62, V61 == V79, V62 == V80, V79 == V85, V80 == V86, V4 == V19, V5 == V20, V19 == V26, V20 == V27, V26 == V32, V27 == V11, V32 == V37, V11 == V38, V37 == V44, V44 == V51, V51 == V57, V38 == V58, V57 == V63, V63 == V81, V58 == V82, V81 == V87, V71 == V73, V6 == V21, V21 == V28, V28 == V39, V39 == V46, V46 == V59, V59 == V65, V65 == V83, V83 == V12; #725 ), references = 1, size of lhs = 30:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), P_tc_set-{F}(V11,V5), P_tc_set-{F}(V12,V11), c_in-{F}(V0,V13,V5), P_c_Zorn_OTFin-{F}(V14,V12,V13), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V14,V0,V12,V15), V15 == V0, P_c_Zorn_OTFin__linear__lemma1__1-{F}(V16,V0,V10,V15), P_c_Zorn_OTFin-{F}(V16,V10,V17), c_in-{F}(V0,V17,V5), P_c_Zorn_Osucc-{F}(V16,V0,V10,V18), P_c_Zorn_Osucc-{F}(V14,V0,V12,V19), c_lessequals-{F}(V0,V19,V5), P_tc_set-{F}(V20,V5), P_tc_set-{F}(V21,V20), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V22,V0,V21,V15), P_c_Zorn_OTFin-{F}(V22,V21,V17), P_c_Zorn_Osucc-{F}(V22,V0,V21,V23), c_lessequals-{F}(V0,V23,V5) | c_lessequals-{T}(V18,V0,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1012: mergings( V4 == V11, V11 == V18, V18 == V30, V30 == V37, V37 == V48, V48 == V55, V55 == V62, V62 == V1, V1 == V74, V89 == V90, V90 == V95, V5 == V12, V12 == V19, V19 == V25, V25 == V31, V31 == V38, V38 == V44, V44 == V49, V49 == V56, V56 == V63, V63 == V69, V69 == V75, V75 == V81, V6 == V13, V7 == V14, V13 == V20, V14 == V21, V20 == V26, V21 == V27, V26 == V32, V27 == V33, V32 == V39, V33 == V40, V39 == V45, V40 == V46, V45 == V50, V46 == V51, V50 == V57, V51 == V58, V57 == V64, V58 == V65, V64 == V70, V65 == V71, V70 == V76, V71 == V77, V76 == V82, V77 == V83, V8 == V15, V9 == V16, V15 == V22, V16 == V23, V22 == V28, V23 == V29, V28 == V34, V29 == V35, V34 == V41, V41 == V47, V47 == V52, V35 == V53, V52 == V59, V59 == V66, V53 == V67, V66 == V72, V72 == V78, V67 == V79, V78 == V84, V87 == V88, V88 == V93, V93 == V94, V10 == V17, V17 == V24, V24 == V36, V36 == V43, V43 == V54, V54 == V61, V61 == V68, V68 == V74, V74 == V80, V80 == V86, V91 == V92, V92 == V96; #929 ), references = 1, size of lhs = 17:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V5), P_tc_set-{F}(V11,V10), c_in-{F}(V0,V12,V5), P_c_Zorn_OTFin-{F}(V13,V11,V12), P_c_Zorn_Osucc-{F}(V13,V0,V11,V14), c_lessequals-{F}(V0,V14,V5) | P_c_Zorn_OTFin__linear__lemma1__1-{T}(V13,V0,V11,V0)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1094: mergings( V4 == V11, V11 == V18, V18 == V30, V30 == V37, V37 == V48, V48 == V55, V55 == V62, V62 == V1, V1 == V74, V74 == V81, V89 == V90, V90 == V95, V5 == V12, V12 == V19, V19 == V25, V25 == V31, V31 == V38, V38 == V44, V44 == V49, V49 == V56, V56 == V63, V63 == V69, V69 == V75, V75 == V82, V6 == V13, V7 == V14, V13 == V20, V14 == V21, V20 == V26, V21 == V27, V26 == V32, V27 == V33, V32 == V39, V33 == V40, V39 == V45, V40 == V46, V45 == V50, V46 == V51, V50 == V57, V51 == V58, V57 == V64, V58 == V65, V64 == V70, V65 == V71, V70 == V76, V71 == V77, V76 == V83, V77 == V84, V8 == V15, V9 == V16, V15 == V22, V16 == V23, V22 == V28, V23 == V29, V28 == V34, V29 == V35, V34 == V41, V41 == V47, V47 == V52, V35 == V53, V52 == V59, V59 == V66, V53 == V67, V66 == V72, V72 == V78, V67 == V79, V78 == V85, V87 == V88, V88 == V93, V93 == V94, V10 == V17, V17 == V24, V24 == V36, V36 == V43, V43 == V54, V54 == V61, V61 == V68, V68 == V81, V81 == V80, V91 == V92, V92 == V96; #930 ), references = 1, size of lhs = 17:
% 3.67/3.86 P_v_n-{F}(V0), P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V5), P_tc_set-{F}(V11,V10), c_in-{F}(V0,V12,V5), P_c_Zorn_OTFin-{F}(V13,V11,V12), P_c_Zorn_Osucc-{F}(V13,V0,V11,V14), c_lessequals-{F}(V0,V14,V5) | P_c_Zorn_OTFin__linear__lemma1__1-{T}(V13,V0,V11,V0)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1207: mergings( V4 == V11, V11 == V18, V18 == V25, V25 == V37, V37 == V54, V54 == V67, V67 == V79, V79 == V1, V1 == V95, V114 == V115, V115 == V116, V116 == V117, V5 == V12, V12 == V19, V19 == V26, V26 == V32, V32 == V38, V38 == V44, V44 == V50, V50 == V55, V55 == V61, V61 == V68, V68 == V74, V74 == V80, V80 == V86, V86 == V91, V91 == V96, V96 == V102, V6 == V13, V7 == V14, V13 == V20, V14 == V21, V20 == V27, V21 == V28, V27 == V33, V28 == V34, V33 == V39, V34 == V40, V39 == V45, V40 == V46, V45 == V51, V46 == V52, V51 == V56, V52 == V57, V56 == V62, V57 == V63, V62 == V69, V63 == V70, V69 == V75, V70 == V76, V75 == V81, V76 == V82, V81 == V87, V82 == V88, V87 == V92, V88 == V93, V92 == V97, V93 == V98, V97 == V103, V98 == V104, V8 == V15, V9 == V16, V15 == V22, V16 == V23, V22 == V29, V23 == V30, V29 == V35, V30 == V36, V35 == V41, V36 == V42, V41 == V47, V47 == V53, V53 == V58, V42 == V59, V58 == V64, V64 == V71, V59 == V72, V71 == V77, V77 == V83, V72 == V84, V83 == V89, V89 == V94, V94 == V99, V84 == V100, V99 == V105, V108 == V109, V109 == V110, V110 == V111, V111 == V112, V112 == V113, V10 == V17, V17 == V24, V24 == V31, V31 == V43, V43 == V49, V49 == V60, V60 == V66, V66 == V73, V73 == V85, V85 == V95, V95 == V101, V101 == V107; #1103 ), references = 1, size of lhs = 16:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V5), P_tc_set-{F}(V11,V5), P_tc_set-{F}(V12,V11), c_in-{F}(V0,V13,V5), P_c_Zorn_OTFin-{F}(V14,V12,V13) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1310: mergings( V4 == V11, V11 == V18, V18 == V25, V25 == V37, V37 == V54, V54 == V67, V67 == V1, V1 == V79, V79 == V95, V95 == V96, V114 == V115, V115 == V116, V116 == V117, V5 == V12, V12 == V19, V19 == V26, V26 == V32, V32 == V38, V38 == V44, V44 == V50, V50 == V55, V55 == V61, V61 == V68, V68 == V74, V74 == V80, V80 == V86, V86 == V91, V91 == V97, V97 == V103, V6 == V13, V7 == V14, V13 == V20, V14 == V21, V20 == V27, V21 == V28, V27 == V33, V28 == V34, V33 == V39, V34 == V40, V39 == V45, V40 == V46, V45 == V51, V46 == V52, V51 == V56, V52 == V57, V56 == V62, V57 == V63, V62 == V69, V63 == V70, V69 == V75, V70 == V76, V75 == V81, V76 == V82, V81 == V87, V82 == V88, V87 == V92, V88 == V93, V92 == V98, V93 == V99, V98 == V104, V99 == V105, V8 == V15, V9 == V16, V15 == V22, V16 == V23, V22 == V29, V23 == V30, V29 == V35, V30 == V36, V35 == V41, V36 == V42, V41 == V47, V47 == V53, V53 == V58, V42 == V59, V58 == V64, V64 == V71, V59 == V72, V71 == V77, V77 == V83, V72 == V84, V83 == V89, V89 == V94, V94 == V100, V84 == V101, V100 == V106, V108 == V109, V109 == V110, V110 == V111, V111 == V112, V112 == V113, V10 == V17, V17 == V24, V24 == V31, V31 == V43, V43 == V49, V49 == V60, V60 == V66, V66 == V73, V73 == V85, V85 == V96, V96 == V102; #1104 ), references = 1, size of lhs = 16:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V5), P_tc_set-{F}(V11,V5), P_tc_set-{F}(V12,V11), c_in-{F}(V0,V13,V5), P_c_Zorn_OTFin-{F}(V14,V12,V13) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1365: mergings( V5 == V9, V9 == V13, V13 == V17, V17 == V22, V22 == V29, V29 == V35, V35 == V41, V41 == V47, V47 == V49, V3 == V6, V4 == V7, V6 == V10, V7 == V11, V10 == V14, V11 == V15, V14 == V18, V15 == V19, V18 == V21, V21 == V23, V19 == V24, V23 == V26, V26 == V28, V28 == V30, V24 == V31, V30 == V33, V33 == V36, V31 == V37, V36 == V39, V39 == V42, V37 == V43, V42 == V45, V45 == V48, V48 == V50, V43 == V51, V50 == V53, V53 == V55, V55 == V56, V56 == V57, V57 == V58, V58 == V59, V59 == V60, V8 == V12, V12 == V16, V16 == V20, V20 == V25, V25 == V32, V32 == V38, V38 == V44, V44 == V49, V49 == V52; #1313 ), references = 2, size of lhs = 11:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_tc_set-{F}(V8,V4), P_tc_set-{F}(V9,V4) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1416: mergings( V5 == V9, V9 == V13, V13 == V17, V17 == V22, V22 == V29, V29 == V35, V35 == V41, V41 == V48, V48 == V49, V3 == V6, V4 == V7, V6 == V10, V7 == V11, V10 == V14, V11 == V15, V14 == V18, V15 == V19, V18 == V21, V21 == V23, V19 == V24, V23 == V26, V26 == V28, V28 == V30, V24 == V31, V30 == V33, V33 == V36, V31 == V37, V36 == V39, V39 == V42, V37 == V43, V42 == V45, V45 == V47, V47 == V50, V43 == V51, V50 == V53, V53 == V55, V55 == V56, V56 == V57, V57 == V58, V58 == V59, V59 == V60, V8 == V12, V12 == V16, V16 == V20, V20 == V25, V25 == V32, V32 == V38, V38 == V44, V44 == V49, V49 == V52; #1314 ), references = 1, size of lhs = 11:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_tc_set-{F}(V8,V4), P_tc_set-{F}(V9,V4) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1419: exists( #15, #1365 ), references = 1, size of lhs = 5:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1422: exists( #15, #1417 ), references = 1, size of lhs = 4:
% 3.67/3.86 P_v_m-{F}(V0), P_v_n-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1484: mergings( V0 == V16, V16 == V22, V22 == V12, V1 == V17, V17 == V23, V23 == V36, V2 == V18, V3 == V19, V18 == V24, V19 == V25, V24 == V37, V25 == V38, V4 == V20, V5 == V11, V20 == V26, V26 == V39, V6 == V27, V27 == V15; #1465 ), references = 1, size of lhs = 29:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_v_n-{F}(V7), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), P_tc_set-{F}(V10,V5), P_tc_set-{F}(V11,V10), P_c_Zorn_Osucc-{F}(V12,V0,V11,V0), P_c_Zorn_OTFin-{F}(V12,V11,V13), c_in-{F}(V0,V13,V5), c_in-{F}(V7,V13,V5), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V12,V0,V11,V14), V14 == V0, P_c_Zorn_OTFin__linear__lemma1__1-{F}(V15,V0,V9,V14), P_c_Zorn_OTFin-{F}(V15,V9,V16), c_in-{F}(V0,V16,V5), c_in-{F}(V7,V16,V5), P_c_Zorn_Osucc-{F}(V15,V0,V9,V17), P_tc_set-{F}(V18,V5), P_tc_set-{F}(V19,V18), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V20,V0,V19,V14), P_c_Zorn_OTFin-{F}(V20,V19,V16), P_c_Zorn_Osucc-{F}(V20,V0,V19,V21), c_lessequals-{F}(V0,V21,V5) | c_lessequals-{T}(V17,V7,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1513: mergings( V4 == V17, V17 == V1, V1 == V27, V36 == V34, V5 == V11, V11 == V18, V18 == V23, V23 == V28, V6 == V12, V7 == V13, V12 == V19, V13 == V20, V19 == V24, V20 == V25, V24 == V29, V25 == V30, V8 == V14, V9 == V15, V14 == V21, V21 == V26, V26 == V31, V33 == V35, V35 == V37, V10 == V22, V22 == V32, V27 == V38; #1486 ), references = 1, size of lhs = 15:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), c_lessequals-{F}(V0,V0,V5), P_tc_set-{F}(V6,V5), P_v_n-{F}(V7), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), P_c_Zorn_Osucc-{F}(V10,V0,V9,V0), P_c_Zorn_OTFin-{F}(V10,V9,V11), c_in-{F}(V0,V11,V5), c_in-{F}(V7,V11,V5) | P_c_Zorn_OTFin__linear__lemma1__1-{T}(V10,V0,V9,V0)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1564: mergings( V0 == V12, V12 == V20, V20 == V27, V1 == V16, V16 == V21, V21 == V28, V2 == V17, V3 == V18, V17 == V22, V18 == V23, V22 == V29, V23 == V30, V4 == V19, V5 == V11, V19 == V24, V11 == V25, V24 == V31, V6 == V26, V26 == V15; #1544 ), references = 2, size of lhs = 16:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_v_n-{F}(V7), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), c_in-{F}(V0,V10,V5), c_in-{F}(V7,V10,V5), P_c_Zorn_OTFin-{F}(V11,V9,V10), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V11,V0,V9,V12), P_c_Zorn_Osucc-{F}(V11,V0,V9,V13), c_lessequals-{F}(V0,V13,V5) | c_in-{T}(V12,V10,V5)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1592: mergings( V1 == V16, V16 == V23, V34 == V32, V4 == V11, V11 == V17, V17 == V24, V5 == V12, V6 == V13, V12 == V18, V13 == V19, V18 == V25, V19 == V26, V7 == V14, V14 == V20, V8 == V21, V20 == V27, V30 == V33, V33 == V36, V10 == V22, V22 == V29, V31 == V35, V35 == V37; #1569 ), references = 1, size of lhs = 17:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_v_n-{F}(V9), P_tc_set-{F}(V10,V5), P_tc_set-{F}(V11,V10), c_in-{F}(V0,V12,V5), c_in-{F}(V9,V12,V5), P_c_Zorn_OTFin-{F}(V13,V11,V12), P_c_Zorn_Osucc-{F}(V13,V0,V11,V14), c_lessequals-{F}(V0,V14,V5) | P_c_Zorn_OTFin__linear__lemma1__1-{T}(V13,V0,V11,V0)
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1643: mergings( V4 == V23, V23 == V40, V40 == V1, V58 == V59, V59 == V60, V5 == V11, V11 == V18, V18 == V24, V24 == V30, V30 == V36, V36 == V41, V41 == V47, V6 == V12, V7 == V13, V12 == V19, V13 == V20, V19 == V25, V20 == V26, V25 == V31, V26 == V32, V31 == V37, V32 == V38, V37 == V42, V38 == V43, V42 == V48, V43 == V49, V8 == V14, V9 == V15, V14 == V21, V21 == V27, V15 == V28, V27 == V33, V33 == V39, V39 == V44, V28 == V45, V44 == V50, V53 == V54, V54 == V55, V55 == V56, V56 == V57, V10 == V17, V17 == V29, V29 == V35, V35 == V46, V46 == V52; #1597 ), references = 1, size of lhs = 16:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5), P_v_n-{F}(V10), P_tc_set-{F}(V11,V5), P_tc_set-{F}(V12,V11), c_in-{F}(V0,V13,V5), c_in-{F}(V10,V13,V5), P_c_Zorn_OTFin-{F}(V14,V12,V13) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1671: mergings( V5 == V7, V7 == V15, V15 == V22, V22 == V26, V3 == V6, V6 == V8, V4 == V9, V8 == V11, V11 == V13, V13 == V16, V9 == V17, V16 == V19, V19 == V21, V21 == V23, V17 == V24, V23 == V27, V27 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V10 == V18, V18 == V25, V25 == V29; #1646 ), references = 2, size of lhs = 10:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1673: exists( #15, #1671 ), references = 1, size of lhs = 5:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_tc_set-{F}(V2,V4) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1675: exists( #15, #1672 ), references = 1, size of lhs = 4:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1677: exists( #16, #1674 ), references = 1, size of lhs = 3:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1679: exists( #14, #1676 ), references = 1, size of lhs = 2:
% 3.67/3.86 P_v_m-{F}(V0), P_v_S-{F}(V1) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1681: exists( #13, #1678 ), references = 1, size of lhs = 1:
% 3.67/3.86 P_v_m-{F}(V0) | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 #1683: exists( #11, #1680 ), references = 1, size of lhs = 0:
% 3.67/3.86 FALSE | FALSE
% 3.67/3.86 (used 0 times, uses = {})
% 3.67/3.86
% 3.67/3.86 number of learnt formulas = 38
% 3.67/3.86
% 3.67/3.86
% 3.67/3.86 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.67/3.86
% 3.67/3.86 randbase = 1
%------------------------------------------------------------------------------