%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET857-2 : TPTP v8.1.0. Released v3.2.0.
% 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 06:16:51 EDT 2022
% Result : Unsatisfiable 14.41s 14.57s
% Output : Refutation 14.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET857-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % 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 02:31:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 14.41/14.57 GeoParameters:
% 14.41/14.57
% 14.41/14.57 tptp_input = 1
% 14.41/14.57 tptp_output = 0
% 14.41/14.57 nonempty = 1
% 14.41/14.57 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.41/14.57 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 14.41/14.57
% 14.41/14.57
% 14.41/14.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.41/14.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.41/14.57
% 14.41/14.57 RuleSystem INPUT:
% 14.41/14.57
% 14.41/14.57 Initial Rules:
% 14.41/14.57 #0: input, references = 15, size of lhs = 3:
% 14.41/14.57 P_tc_set-{F}(V1,V3), c_lessequals-{F}(V0,V2,V3), c_in-{F}(V4,V0,V1) | c_in-{T}(V4,V2,V1)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #1: input, references = 4, size of lhs = 2:
% 14.41/14.57 P_c_Main_OsubsetI__1-{F}(V0,V2,V1,V3), P_tc_set-{F}(V1,V4) | c_in-{T}(V3,V0,V1), c_lessequals-{T}(V0,V2,V4)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #2: input, references = 13, size of lhs = 3:
% 14.41/14.57 P_c_Main_OsubsetI__1-{F}(V0,V2,V1,V3), P_tc_set-{F}(V1,V4), c_in-{F}(V3,V2,V1) | c_lessequals-{T}(V0,V2,V4)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #3: input, references = 5, size of lhs = 3:
% 14.41/14.57 P_c_Zorn_Osucc-{F}(V2,V1,V0,V3), P_tc_set-{F}(V0,V4), P_tc_set-{F}(V4,V5) | c_lessequals-{T}(V1,V3,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #4: input, references = 7, size of lhs = 7:
% 14.41/14.57 P_c_Zorn_OTFin-{F}(V1,V0,V3), P_tc_set-{F}(V0,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V1,V2,V0,V6), P_c_Zorn_Osucc-{F}(V1,V2,V0,V7), c_in-{F}(V2,V3,V5), c_in-{F}(V8,V3,V5) | c_in-{T}(V6,V3,V5), c_lessequals-{T}(V8,V2,V5), c_lessequals-{T}(V7,V8,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #5: input, references = 7, size of lhs = 7:
% 14.41/14.57 P_c_Zorn_OTFin-{F}(V1,V0,V3), P_tc_set-{F}(V0,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V1,V2,V0,V6), P_c_Zorn_Osucc-{F}(V1,V2,V0,V7), c_in-{F}(V2,V3,V5), c_in-{F}(V8,V3,V5) | c_lessequals-{T}(V6,V2,V5), c_lessequals-{T}(V8,V2,V5), c_lessequals-{T}(V7,V8,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #6: input, references = 5, size of lhs = 7:
% 14.41/14.57 P_c_Zorn_OTFin-{F}(V1,V0,V3), P_tc_set-{F}(V0,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V1,V2,V0,V2), P_c_Zorn_Osucc-{F}(V1,V2,V0,V7), c_in-{F}(V2,V3,V5), c_in-{F}(V8,V3,V5) | c_lessequals-{T}(V8,V2,V5), c_lessequals-{T}(V7,V8,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #7: input, references = 4, size of lhs = 9:
% 14.41/14.57 P_c_Zorn_OTFin-{F}(V1,V0,V3), P_tc_set-{F}(V0,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V1,V2,V0,V6), P_c_Zorn_Osucc-{F}(V1,V6,V0,V7), P_c_Zorn_Osucc-{F}(V1,V2,V0,V8), c_in-{F}(V2,V3,V5), c_lessequals-{F}(V7,V2,V5), c_in-{F}(V9,V3,V5) | c_lessequals-{T}(V9,V2,V5), c_lessequals-{T}(V8,V9,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #8: input, references = 4, size of lhs = 7:
% 14.41/14.57 P_v_Y-{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}(V5,V6) | c_lessequals-{T}(V0,V3,V6)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #9: input, references = 4, size of lhs = 8:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7) | c_in-{T}(V7,V3,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #10: input, references = 4, size of lhs = 9:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), P_v_x-{F}(V8) | c_in-{T}(V8,V0,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #11: input, references = 13, size of lhs = 10:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), P_v_x-{F}(V8), c_lessequals-{F}(V8,V7,V5) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #12: input, references = 5, size of lhs = 11:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), P_v_x-{F}(V8), P_c_Zorn_Osucc-{F}(V1,V7,V2,V9), c_lessequals-{F}(V9,V8,V5) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #13: input, references = 9, size of lhs = 15:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), P_v_x-{F}(V8), P_c_Zorn_Osucc-{F}(V1,V7,V2,V9), c_in-{F}(V10,V0,V5), P_c_Zorn_Osucc-{F}(V1,V11,V2,V12), c_lessequals-{F}(V11,V10,V5), c_in-{F}(V11,V3,V5), V11 == V10 | c_lessequals-{T}(V12,V10,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #14: input, references = 9, size of lhs = 1:
% 14.41/14.57 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #15: input, references = 5, size of lhs = 3:
% 14.41/14.57 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Main_OsubsetI__1-{T}(V0,V1,V2,V3)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #16: input, references = 8, size of lhs = 3:
% 14.41/14.57 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Zorn_Osucc-{T}(V0,V1,V2,V3)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #17: input, references = 5, size of lhs = 2:
% 14.41/14.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Zorn_OTFin-{T}(V0,V1,V2)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #18: input, references = 4, size of lhs = 3:
% 14.41/14.57 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Zorn_OTFin__linear__lemma1__1-{T}(V0,V1,V2,V3)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #19: input, references = 4, size of lhs = 0:
% 14.41/14.57 FALSE | EXISTS V0: P_v_Y-{T}(V0)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #20: input, references = 4, size of lhs = 0:
% 14.41/14.57 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #21: input, references = 4, size of lhs = 0:
% 14.41/14.57 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #22: input, references = 4, size of lhs = 0:
% 14.41/14.57 FALSE | EXISTS V0: P_v_n-{T}(V0)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #23: input, references = 4, size of lhs = 0:
% 14.41/14.57 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 number of initial rules = 24
% 14.41/14.57
% 14.41/14.57 Simplifiers:
% 14.41/14.57 #24: unsound, references = 3, size of lhs = 3:
% 14.41/14.57 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #25: unsound, references = 3, size of lhs = 3:
% 14.41/14.57 P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #26: unsound, references = 3, size of lhs = 3:
% 14.41/14.57 P_c_Zorn_Osucc-{F}(V0,V1,V2,V3), P_c_Zorn_Osucc-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #27: unsound, references = 3, size of lhs = 3:
% 14.41/14.57 P_c_Zorn_OTFin-{F}(V0,V1,V2), P_c_Zorn_OTFin-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #28: unsound, references = 3, size of lhs = 3:
% 14.41/14.57 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
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #29: unsound, references = 3, size of lhs = 3:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_Y-{F}(V1), V0 == V1 | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #30: unsound, references = 3, size of lhs = 3:
% 14.41/14.57 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #31: unsound, references = 3, size of lhs = 3:
% 14.41/14.57 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #32: unsound, references = 3, size of lhs = 3:
% 14.41/14.57 P_v_n-{F}(V0), P_v_n-{F}(V1), V0 == V1 | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #33: unsound, references = 3, size of lhs = 3:
% 14.41/14.57 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 number of simplifiers = 10
% 14.41/14.57
% 14.41/14.57 Learnt:
% 14.41/14.57 #43: disj( #1, input ), references = 3, size of lhs = 11:
% 14.41/14.57 P_v_Y-{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}(V5,V7), P_v_n-{F}(V8), P_v_x-{F}(V9), P_c_Main_OsubsetI__1-{F}(V9,V8,V6,V10) | c_in-{T}(V10,V9,V6)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #51: mergings( V6 == V12, V8 == V13, V5 == V11, V4 == V10, V9 == V14; #45 ), references = 2, size of lhs = 13:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), c_in-{F}(V7,V3,V5), P_v_x-{F}(V8), V7 == V8, c_in-{F}(V8,V0,V5), c_lessequals-{F}(V7,V8,V5) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #86: mergings( V24 == V4, V25 == V14, V14 == V18, V9 == V19, V10 == V20, V11 == V21, V13 == V23, V18 == V4, V15 == V4, V12 == V22, V16 == V8, V17 == V26; #73 ), references = 2, size of lhs = 21:
% 14.41/14.57 P_v_Y-{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}(V5,V5), P_v_n-{F}(V6), P_v_x-{F}(V7), P_c_Main_OsubsetI__1-{F}(V7,V6,V5,V8), P_tc_set-{F}(V9,V5), P_c_Main_OsubsetI__1-{F}(V7,V6,V9,V10), P_tc_set-{F}(V11,V5), P_tc_set-{F}(V12,V11), c_in-{F}(V6,V13,V5), c_lessequals-{F}(V13,V6,V5), P_c_Zorn_OTFin-{F}(V14,V12,V13), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V14,V15,V12,V8), c_in-{F}(V15,V13,V5), P_c_Zorn_Osucc-{F}(V14,V15,V12,V16), c_in-{F}(V10,V16,V9) | c_lessequals-{T}(V6,V15,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #140: mergings( V22 == V4, V4 == V23, V23 == V32, V49 == V40, V40 == V50, V50 == V32, V9 == V17, V17 == V35, V35 == V44, V10 == V18, V18 == V36, V36 == V45, V11 == V19, V13 == V21, V12 == V20, V19 == V37, V21 == V39, V20 == V38, V37 == V46, V39 == V48, V38 == V47, V14 == V24, V24 == V41, V41 == V51, V15 == V25, V25 == V42, V16 == V43, V42 == V5; #111 ), references = 1, size of lhs = 48:
% 14.41/14.57 P_v_Y-{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}(V5,V5), P_v_n-{F}(V6), c_in-{F}(V6,V3,V5), P_v_x-{F}(V7), V6 == V7, c_in-{F}(V7,V0,V5), P_c_Main_OsubsetI__1-{F}(V7,V6,V5,V8), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), P_tc_set-{F}(V11,V5), P_c_Main_OsubsetI__1-{F}(V7,V6,V11,V12), P_tc_set-{F}(V13,V5), P_tc_set-{F}(V14,V13), c_in-{F}(V12,V15,V11), P_tc_set-{F}(V16,V5), P_c_Main_OsubsetI__1-{F}(V6,V7,V16,V17), c_in-{F}(V17,V6,V16), c_lessequals-{F}(V18,V7,V5), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V19,V7,V10,V18), P_c_Zorn_OTFin-{F}(V19,V10,V20), c_in-{F}(V7,V20,V5), c_in-{F}(V6,V20,V5), c_lessequals-{F}(V20,V6,V5), P_c_Zorn_Osucc-{F}(V19,V7,V10,V21), c_in-{F}(V22,V20,V5), P_c_Zorn_OTFin-{F}(V23,V14,V20), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V23,V18,V14,V8), P_c_Zorn_Osucc-{F}(V23,V18,V14,V15), P_tc_set-{F}(V24,V5), P_c_Main_OsubsetI__1-{F}(V7,V6,V24,V25), P_tc_set-{F}(V26,V5), P_tc_set-{F}(V27,V26), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V28,V22,V27,V8), P_c_Zorn_OTFin-{F}(V28,V27,V29), c_in-{F}(V6,V29,V5), c_lessequals-{F}(V29,V6,V5), c_in-{F}(V22,V29,V5), P_c_Zorn_Osucc-{F}(V28,V22,V27,V30), c_in-{F}(V25,V30,V24), P_tc_set-{F}(V31,V5), P_c_Main_OsubsetI__1-{F}(V6,V7,V31,V32), c_in-{F}(V32,V6,V31) | c_lessequals-{T}(V21,V22,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #166: mergings( V20 == V4, V14 == V21, V9 == V15, V10 == V16, V11 == V17, V13 == V19, V12 == V18, V5 == V22; #157 ), references = 2, size of lhs = 22:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), c_in-{F}(V7,V3,V5), P_v_x-{F}(V8), V7 == V8, c_in-{F}(V8,V0,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), c_in-{F}(V8,V11,V5), c_in-{F}(V7,V11,V5), P_c_Zorn_OTFin-{F}(V12,V10,V11), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V12,V8,V10,V13), P_c_Zorn_Osucc-{F}(V12,V8,V10,V14), P_tc_set-{F}(V15,V5), P_c_Main_OsubsetI__1-{F}(V8,V7,V15,V16), c_in-{F}(V16,V14,V15) | c_in-{T}(V13,V11,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #208: mergings( V14 == V24, V24 == V31, V9 == V19, V19 == V26, V10 == V20, V20 == V27, V11 == V21, V13 == V23, V12 == V22, V21 == V28, V23 == V30, V22 == V29, V15 == V25, V17 == V18, V25 == V8, V16 == V5; #190 ), references = 1, size of lhs = 23:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), c_in-{F}(V7,V3,V5), P_c_Zorn_Osucc-{F}(V1,V7,V2,V8), P_v_x-{F}(V9), V7 == V9, c_in-{F}(V9,V0,V5), P_tc_set-{F}(V10,V5), P_tc_set-{F}(V11,V10), c_in-{F}(V9,V12,V5), c_in-{F}(V7,V12,V5), P_c_Zorn_OTFin-{F}(V13,V11,V12), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V13,V9,V11,V14), V14 == V9, c_in-{F}(V14,V3,V5), P_c_Zorn_Osucc-{F}(V1,V14,V2,V8), P_c_Zorn_Osucc-{F}(V13,V9,V11,V15) | c_lessequals-{T}(V15,V7,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #235: mergings( V14 == V24, V24 == V31, V31 == V41, V9 == V19, V19 == V26, V26 == V36, V10 == V20, V20 == V27, V27 == V37, V11 == V21, V13 == V23, V12 == V22, V21 == V28, V23 == V30, V22 == V29, V28 == V38, V30 == V40, V29 == V39, V15 == V25, V17 == V18, V25 == V32, V18 == V34, V32 == V42, V34 == V35, V16 == V33, V33 == V5; #191 ), references = 1, size of lhs = 24:
% 14.41/14.57 P_v_Y-{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-{F}(V6,V3,V5), P_c_Zorn_Osucc-{F}(V1,V6,V2,V7), P_tc_set-{F}(V5,V8), P_v_n-{F}(V9), P_c_Zorn_Osucc-{F}(V1,V9,V2,V7), P_v_x-{F}(V10), V6 == V10, c_in-{F}(V10,V0,V5), P_tc_set-{F}(V11,V5), P_tc_set-{F}(V12,V11), c_in-{F}(V10,V13,V5), c_in-{F}(V6,V13,V5), P_c_Zorn_OTFin-{F}(V14,V12,V13), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V14,V10,V12,V15), V15 == V10, c_in-{F}(V15,V3,V5), P_c_Zorn_Osucc-{F}(V1,V15,V2,V7), P_c_Zorn_Osucc-{F}(V14,V10,V12,V16) | c_lessequals-{T}(V16,V6,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #263: mergings( V20 == V4, V14 == V21, V9 == V15, V10 == V16, V11 == V17, V13 == V19, V12 == V18, V5 == V22; #254 ), references = 2, size of lhs = 22:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), c_in-{F}(V7,V3,V5), P_v_x-{F}(V8), V7 == V8, c_in-{F}(V8,V0,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), c_in-{F}(V8,V11,V5), c_in-{F}(V7,V11,V5), P_c_Zorn_OTFin-{F}(V12,V10,V11), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V12,V8,V10,V13), P_c_Zorn_Osucc-{F}(V12,V8,V10,V14), P_tc_set-{F}(V15,V5), P_c_Main_OsubsetI__1-{F}(V8,V7,V15,V16), c_in-{F}(V16,V14,V15) | c_lessequals-{T}(V13,V8,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #318: mergings( V14 == V20, V9 == V15, V10 == V16, V11 == V17, V13 == V19, V12 == V18, V5 == V21; #310 ), references = 1, size of lhs = 17:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), P_v_x-{F}(V8), P_c_Zorn_Osucc-{F}(V1,V7,V2,V9), P_tc_set-{F}(V10,V5), P_tc_set-{F}(V11,V10), P_c_Zorn_Osucc-{F}(V12,V7,V11,V9), P_c_Zorn_OTFin-{F}(V12,V11,V13), c_in-{F}(V7,V13,V5), c_in-{F}(V8,V13,V5), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V12,V7,V11,V14) | c_in-{T}(V14,V13,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #361: mergings( V14 == V24, V24 == V30, V9 == V19, V19 == V25, V10 == V20, V20 == V26, V11 == V21, V13 == V23, V12 == V22, V21 == V27, V23 == V29, V22 == V28, V15 == V5, V16 == V18, V18 == V8; #345 ), references = 1, size of lhs = 21:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), c_in-{F}(V7,V0,V5), P_c_Zorn_Osucc-{F}(V1,V7,V2,V8), P_v_x-{F}(V9), P_tc_set-{F}(V10,V5), P_tc_set-{F}(V11,V10), c_in-{F}(V7,V12,V5), c_in-{F}(V9,V12,V5), P_c_Zorn_OTFin-{F}(V13,V11,V12), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V13,V7,V11,V14), V14 == V7, c_in-{F}(V14,V3,V5), P_c_Zorn_Osucc-{F}(V1,V14,V2,V9), P_c_Zorn_Osucc-{F}(V13,V7,V11,V15) | c_lessequals-{T}(V15,V9,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #439: mergings( V14 == V4, V24 == V4, V15 == V25, V9 == V19, V10 == V20, V11 == V21, V13 == V23, V12 == V22, V16 == V26; #429 ), references = 1, size of lhs = 22:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), P_v_x-{F}(V8), P_tc_set-{F}(V9,V5), P_c_Main_OsubsetI__1-{F}(V8,V7,V9,V10), P_tc_set-{F}(V11,V5), P_tc_set-{F}(V12,V11), c_in-{F}(V7,V13,V5), P_c_Zorn_OTFin-{F}(V14,V12,V13), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V14,V7,V12,V15), c_in-{F}(V10,V15,V9), P_c_Zorn_Osucc-{F}(V14,V7,V12,V16), c_in-{F}(V17,V13,V5), P_tc_set-{F}(V18,V5), P_c_Main_OsubsetI__1-{F}(V8,V7,V18,V19), c_in-{F}(V19,V17,V18) | c_lessequals-{T}(V16,V17,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #487: disj( #6, input ), references = 1, size of lhs = 16:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), P_v_x-{F}(V8), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V11,V7,V10,V7), P_c_Zorn_OTFin-{F}(V11,V10,V12), c_in-{F}(V7,V12,V5), c_in-{F}(V8,V12,V5), P_c_Zorn_Osucc-{F}(V11,V7,V10,V13) | c_lessequals-{T}(V13,V8,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #548: disj( #7, mergings( V6 == V12, V8 == V13, V5 == V11, V4 == V10, V9 == V14; #45 ) ), references = 3, size of lhs = 21:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), c_in-{F}(V7,V3,V5), P_v_x-{F}(V8), V7 == V8, c_in-{F}(V8,V0,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), c_in-{F}(V8,V11,V5), c_in-{F}(V7,V11,V5), P_c_Zorn_OTFin-{F}(V12,V10,V11), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V12,V8,V10,V13), P_c_Zorn_Osucc-{F}(V12,V13,V10,V14), c_lessequals-{F}(V14,V8,V5), P_c_Zorn_Osucc-{F}(V12,V8,V10,V15) | c_lessequals-{T}(V15,V7,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #593: mergings( V8 == V17, V17 == V22, V6 == V21, V21 == V35, V35 == V40, V7 == V38, V31 == V38, V22 == V32, V5 == V20, V20 == V36, V4 == V12, V12 == V19, V19 == V26, V13 == V0, V0 == V27, V14 == V2, V16 == V40, V15 == V36, V2 == V28, V30 == V40, V29 == V36, V9 == V23, V11 == V25, V23 == V33, V10 == V18, V18 == V24, V24 == V34; #565 ), references = 1, size of lhs = 24:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_c_Zorn_Osucc-{F}(V1,V3,V2,V4), c_in-{F}(V3,V0,V5), P_tc_set-{F}(V5,V6), P_v_x-{F}(V7), V3 == V7, c_in-{F}(V7,V0,V5), P_c_Zorn_OTFin-{F}(V1,V2,V8), c_in-{F}(V7,V8,V5), c_in-{F}(V3,V8,V5), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V1,V7,V2,V9), V9 == V7, V9 == V3, c_lessequals-{F}(V9,V7,V5), P_c_Zorn_Osucc-{F}(V1,V7,V2,V9), c_in-{F}(V9,V8,V5), P_tc_set-{F}(V2,V10), P_tc_set-{F}(V10,V5), P_tc_set-{F}(V11,V5), P_c_Main_OsubsetI__1-{F}(V7,V3,V11,V12), c_in-{F}(V12,V9,V11) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #641: mergings( V6 == V28, V8 == V17, V24 == V7, V17 == V25, V5 == V29, V4 == V12, V12 == V19, V0 == V13, V13 == V20, V2 == V14, V16 == V28, V15 == V29, V14 == V21, V23 == V28, V22 == V29, V9 == V26, V10 == V18, V18 == V27; #622 ), references = 1, size of lhs = 22:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_c_Zorn_Osucc-{F}(V1,V3,V2,V4), P_v_x-{F}(V5), V3 == V5, c_in-{F}(V5,V0,V6), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V2,V8), P_tc_set-{F}(V8,V6), P_c_Zorn_OTFin-{F}(V1,V2,V9), c_in-{F}(V5,V9,V6), c_in-{F}(V3,V9,V6), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V1,V5,V2,V10), V10 == V5, c_in-{F}(V10,V9,V6), c_lessequals-{F}(V10,V5,V6), P_c_Zorn_Osucc-{F}(V1,V5,V2,V11), P_tc_set-{F}(V12,V6), P_c_Main_OsubsetI__1-{F}(V5,V3,V12,V13), c_in-{F}(V13,V11,V12) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #682: mergings( V10 == V17, V17 == V22, V21 == V41, V22 == V31, V41 == V44, V44 == V48, V37 == V9, V31 == V38, V43 == V45, V45 == V50, V42 == V20, V20 == V49, V4 == V12, V12 == V19, V19 == V26, V26 == V32, V5 == V13, V13 == V0, V0 == V27, V27 == V33, V6 == V14, V8 == V16, V7 == V15, V14 == V2, V16 == V48, V15 == V49, V2 == V28, V30 == V48, V29 == V49, V28 == V34, V36 == V48, V35 == V49, V11 == V18, V18 == V23, V23 == V39, V24 == V1, V1 == V40; #644 ), references = 1, size of lhs = 24:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_c_Zorn_Osucc-{F}(V1,V3,V2,V4), P_v_x-{F}(V5), V3 == V5, c_in-{F}(V5,V0,V6), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V2,V8), P_tc_set-{F}(V8,V6), P_c_Zorn_OTFin-{F}(V1,V2,V9), c_in-{F}(V5,V9,V6), c_in-{F}(V3,V9,V6), P_c_Zorn_Osucc-{F}(V1,V5,V2,V10), P_tc_set-{F}(V11,V6), P_c_Main_OsubsetI__1-{F}(V5,V3,V11,V12), c_in-{F}(V12,V10,V11), P_tc_set-{F}(V13,V6), P_c_Main_OsubsetI__1-{F}(V5,V3,V13,V14), c_in-{F}(V14,V10,V13), P_tc_set-{F}(V15,V6), P_c_Main_OsubsetI__1-{F}(V5,V3,V15,V16), c_in-{F}(V16,V10,V15) | P_c_Zorn_OTFin__linear__lemma1__1-{T}(V1,V5,V2,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #724: disj( #6, mergings( V6 == V12, V8 == V13, V5 == V11, V4 == V10, V9 == V14; #45 ) ), references = 1, size of lhs = 19:
% 14.41/14.57 P_v_Y-{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}(V5,V6), P_v_n-{F}(V7), c_in-{F}(V7,V3,V5), P_v_x-{F}(V8), V7 == V8, c_in-{F}(V8,V0,V5), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), P_c_Zorn_OTFin__linear__lemma1__1-{F}(V11,V8,V10,V8), P_c_Zorn_OTFin-{F}(V11,V10,V12), c_in-{F}(V8,V12,V5), c_in-{F}(V7,V12,V5), P_c_Zorn_Osucc-{F}(V11,V8,V10,V13) | c_lessequals-{T}(V13,V7,V5)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #786: mergings( V10 == V17, V17 == V21, V20 == V38, V21 == V28, V38 == V40, V40 == V42, V42 == V64, V9 == V49, V28 == V50, V34 == V49, V35 == V50, V60 == V49, V50 == V61, V52 == V53, V53 == V54, V54 == V66, V39 == V41, V41 == V43, V43 == V65, V4 == V12, V12 == V19, V19 == V23, V23 == V29, V29 == V44, V44 == V55, V5 == V13, V13 == V0, V0 == V24, V24 == V30, V30 == V45, V45 == V56, V6 == V14, V8 == V16, V7 == V15, V14 == V2, V16 == V64, V15 == V65, V2 == V25, V27 == V64, V26 == V65, V25 == V31, V33 == V64, V32 == V65, V31 == V46, V48 == V64, V47 == V65, V46 == V57, V59 == V64, V58 == V65, V11 == V18, V18 == V1, V1 == V36, V36 == V62, V22 == V37, V37 == V51, V51 == V63; #729 ), references = 2, size of lhs = 26:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_v_x-{F}(V4), V3 == V4, c_in-{F}(V4,V0,V5), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V2,V7), P_tc_set-{F}(V7,V5), P_c_Zorn_OTFin-{F}(V1,V2,V8), c_in-{F}(V4,V8,V5), c_in-{F}(V3,V8,V5), P_c_Zorn_Osucc-{F}(V1,V4,V2,V9), P_tc_set-{F}(V10,V5), P_c_Main_OsubsetI__1-{F}(V4,V3,V10,V11), c_in-{F}(V11,V9,V10), P_tc_set-{F}(V12,V5), P_c_Main_OsubsetI__1-{F}(V4,V3,V12,V13), c_in-{F}(V13,V9,V12), P_tc_set-{F}(V14,V5), P_c_Main_OsubsetI__1-{F}(V4,V3,V14,V15), c_in-{F}(V15,V9,V14), P_tc_set-{F}(V16,V5), P_c_Main_OsubsetI__1-{F}(V4,V3,V16,V17), c_in-{F}(V17,V9,V16) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #793: mergings( V8 == V13, V6 == V11; #790 ), references = 1, size of lhs = 16:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_v_x-{F}(V4), V3 == V4, c_in-{F}(V4,V0,V5), P_tc_set-{F}(V5,V6), P_c_Zorn_OTFin-{F}(V1,V2,V7), c_in-{F}(V4,V7,V5), c_in-{F}(V3,V7,V5), P_tc_set-{F}(V2,V8), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5), P_c_Main_OsubsetI__1-{F}(V4,V3,V9,V10), c_in-{F}(V10,V4,V9) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #805: mergings( V9 == V14, V10 == V15, V14 == V19, V16 == V18, V4 == V11, V5 == V12, V6 == V13, V8 == V18, V7 == V17; #795 ), references = 2, size of lhs = 14:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_v_x-{F}(V4), V3 == V4, c_in-{F}(V4,V0,V5), P_tc_set-{F}(V5,V6), P_c_Zorn_OTFin-{F}(V1,V2,V7), c_in-{F}(V4,V7,V5), c_in-{F}(V3,V7,V5), P_tc_set-{F}(V2,V8), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #822: mergings( V3 == V7, V4 == V8, V7 == V10, V5 == V9, V9 == V11, V10 == V17, V11 == V16, V6 == V13, V12 == V14; #812 ), references = 2, size of lhs = 10:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_v_x-{F}(V4), V3 == V4, P_tc_set-{F}(V2,V5), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V6) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #825: exists( #14, #822 ), references = 1, size of lhs = 9:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_v_x-{F}(V4), V3 == V4, P_tc_set-{F}(V2,V5), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V7,V6) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #826: exists( #14, #11 ), references = 2, size of lhs = 9:
% 14.41/14.57 P_v_Y-{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_v_x-{F}(V7), c_lessequals-{F}(V7,V6,V5) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #830: exists( #14, #823 ), references = 1, size of lhs = 7:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_v_x-{F}(V4), V3 == V4, P_tc_set-{F}(V2,V5) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #832: exists( #14, #828 ), references = 1, size of lhs = 6:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3), P_v_x-{F}(V4), V3 == V4 | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #834: exists( #23, #831 ), references = 1, size of lhs = 4:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_n-{F}(V3) | P_v_x-{T}(V3)
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #849: mergings( V8 == V15, V3 == V10, V4 == V11, V5 == V12, V7 == V14, V6 == V13; #841 ), references = 2, size of lhs = 10:
% 14.41/14.57 P_v_n-{F}(V0), P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_S-{F}(V2), P_t_a-{F}(V3), P_c_Zorn_OTFin-{F}(V2,V3,V4), P_tc_set-{F}(V3,V5), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V6) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #857: mergings( V8 == V15, V9 == V16, V3 == V10, V4 == V11, V5 == V12, V7 == V14, V6 == V13; #842 ), references = 1, size of lhs = 10:
% 14.41/14.57 P_v_n-{F}(V0), P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_S-{F}(V2), P_t_a-{F}(V3), P_c_Zorn_OTFin-{F}(V2,V3,V4), P_tc_set-{F}(V3,V5), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V7,V6), P_tc_set-{F}(V6,V8) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #863: mergings( V4 == V10, V5 == V11, V3 == V9; #858 ), references = 2, size of lhs = 9:
% 14.41/14.57 P_v_n-{F}(V0), P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_S-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V7,V5) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #868: mergings( V4 == V10, V5 == V11, V7 == V12, V3 == V9; #859 ), references = 2, size of lhs = 9:
% 14.41/14.57 P_v_n-{F}(V0), P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_S-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V5,V7) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #872: exists( #14, #863 ), references = 1, size of lhs = 8:
% 14.41/14.57 P_v_n-{F}(V0), P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_S-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #873: exists( #14, #868 ), references = 1, size of lhs = 8:
% 14.41/14.57 P_v_n-{F}(V0), P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_S-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #874: exists( #14, #849 ), references = 1, size of lhs = 9:
% 14.41/14.57 P_v_n-{F}(V0), P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_S-{F}(V2), P_t_a-{F}(V3), P_c_Zorn_OTFin-{F}(V2,V3,V4), P_tc_set-{F}(V3,V5), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V7,V6) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #878: exists( #14, #869 ), references = 1, size of lhs = 6:
% 14.41/14.57 P_v_n-{F}(V0), P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_S-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #881: exists( #14, #875 ), references = 1, size of lhs = 5:
% 14.41/14.57 P_v_n-{F}(V0), P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_S-{F}(V2), P_t_a-{F}(V3) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #889: mergings( V1 == V4, V2 == V5, V3 == V6; #884 ), references = 1, size of lhs = 3:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #894: mergings( V1 == V3, V2 == V4; #890 ), references = 1, size of lhs = 2:
% 14.41/14.57 P_v_Y-{F}(V0), P_v_S-{F}(V1) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #898: mergings( V1 == V2; #895 ), references = 1, size of lhs = 1:
% 14.41/14.57 P_v_Y-{F}(V0) | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 #901: exists( #19, #895 ), references = 1, size of lhs = 0:
% 14.41/14.57 FALSE | FALSE
% 14.41/14.57 (used 0 times, uses = {})
% 14.41/14.57
% 14.41/14.57 number of learnt formulas = 39
% 14.41/14.57
% 14.41/14.57
% 14.41/14.57 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.41/14.57
% 14.41/14.57 randbase = 1
%------------------------------------------------------------------------------