TSTP Solution File: SET852-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET852-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:16:50 EDT 2022
% Result : Unsatisfiable 0.79s 0.97s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET852-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 01:48:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.79/0.97 GeoParameters:
% 0.79/0.97
% 0.79/0.97 tptp_input = 1
% 0.79/0.97 tptp_output = 0
% 0.79/0.97 nonempty = 1
% 0.79/0.97 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.97 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.79/0.97
% 0.79/0.97
% 0.79/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.97
% 0.79/0.97 RuleSystem INPUT:
% 0.79/0.97
% 0.79/0.97 Initial Rules:
% 0.79/0.97 #0: input, references = 7, size of lhs = 7:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_c_Union-{F}(V0,V2,V3), P_v_m-{F}(V4), P_tc_set-{F}(V2,V5), c_lessequals-{F}(V3,V4,V5) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #1: input, references = 5, size of lhs = 9:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_c_Union-{F}(V0,V2,V3), P_v_m-{F}(V4), P_tc_set-{F}(V2,V5), P_v_S-{F}(V6), P_c_Zorn_Osucc-{F}(V6,V4,V1,V7), c_lessequals-{F}(V7,V3,V5) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #2: input, references = 6, size of lhs = 9:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_c_Union-{F}(V0,V2,V3), P_v_m-{F}(V4), P_tc_set-{F}(V2,V5), P_v_S-{F}(V6), P_c_Zorn_Osucc-{F}(V6,V4,V1,V7), c_in-{F}(V8,V0,V5) | c_lessequals-{T}(V7,V8,V5), c_lessequals-{T}(V8,V4,V5)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #3: input, references = 4, size of lhs = 11:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_c_Union-{F}(V0,V2,V3), P_v_m-{F}(V4), P_tc_set-{F}(V2,V5), P_v_S-{F}(V6), P_c_Zorn_Osucc-{F}(V6,V4,V1,V7), P_c_Union-{F}(V9,V10,V11), P_tc_set-{F}(V10,V12), P_c_Zorn_OUnion__lemma0__1-{F}(V13,V8,V9,V10,V14) | c_lessequals-{T}(V8,V11,V12), c_in-{T}(V14,V9,V12), c_lessequals-{T}(V11,V13,V12)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #4: input, references = 4, size of lhs = 12:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_c_Union-{F}(V0,V2,V3), P_v_m-{F}(V4), P_tc_set-{F}(V2,V5), P_v_S-{F}(V6), P_c_Zorn_Osucc-{F}(V6,V4,V1,V7), P_c_Union-{F}(V9,V10,V11), P_tc_set-{F}(V10,V12), P_c_Zorn_OUnion__lemma0__1-{F}(V13,V8,V9,V10,V14), c_lessequals-{F}(V14,V13,V12) | c_lessequals-{T}(V8,V11,V12), c_lessequals-{T}(V11,V13,V12)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #5: input, references = 4, size of lhs = 12:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_c_Union-{F}(V0,V2,V3), P_v_m-{F}(V4), P_tc_set-{F}(V2,V5), P_v_S-{F}(V6), P_c_Zorn_Osucc-{F}(V6,V4,V1,V7), P_c_Union-{F}(V9,V10,V11), P_tc_set-{F}(V10,V12), P_c_Zorn_OUnion__lemma0__1-{F}(V13,V8,V9,V10,V14), c_lessequals-{F}(V8,V14,V12) | c_lessequals-{T}(V8,V11,V12), c_lessequals-{T}(V11,V13,V12)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #6: input, references = 4, size of lhs = 2:
% 0.79/0.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Union-{T}(V0,V1,V2)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #7: input, references = 4, size of lhs = 0:
% 0.79/0.97 FALSE | EXISTS V0: P_v_Y-{T}(V0)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #8: input, references = 5, size of lhs = 1:
% 0.79/0.97 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #9: input, references = 4, size of lhs = 0:
% 0.79/0.97 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #10: input, references = 4, size of lhs = 0:
% 0.79/0.97 FALSE | EXISTS V0: P_v_m-{T}(V0)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #11: input, references = 4, size of lhs = 3:
% 0.79/0.97 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Zorn_Osucc-{T}(V0,V1,V2,V3)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #12: input, references = 4, size of lhs = 0:
% 0.79/0.97 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #13: input, references = 5, size of lhs = 4:
% 0.79/0.97 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Zorn_OUnion__lemma0__1-{T}(V0,V1,V2,V3,V4)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 number of initial rules = 14
% 0.79/0.97
% 0.79/0.97 Simplifiers:
% 0.79/0.97 #14: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 P_c_Union-{F}(V0,V1,V2), P_c_Union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #15: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 P_v_Y-{F}(V0), P_v_Y-{F}(V1), V0 == V1 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #16: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #17: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #18: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 P_v_m-{F}(V0), P_v_m-{F}(V1), V0 == V1 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #19: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 P_c_Zorn_Osucc-{F}(V0,V1,V2,V3), P_c_Zorn_Osucc-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #20: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #21: unsound, references = 3, size of lhs = 3:
% 0.79/0.97 P_c_Zorn_OUnion__lemma0__1-{F}(V0,V1,V2,V3,V4), P_c_Zorn_OUnion__lemma0__1-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 number of simplifiers = 8
% 0.79/0.97
% 0.79/0.97 Learnt:
% 0.79/0.97 #30: mergings( V0 == V15, V1 == V16, V2 == V17, V3 == V13, V5 == V11, V4 == V10; #22 ), references = 3, size of lhs = 12:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V1,V3,V4), P_v_m-{F}(V5), P_c_Zorn_Osucc-{F}(V0,V5,V2,V6), P_tc_set-{F}(V3,V7), P_tc_set-{F}(V8,V7), P_c_Union-{F}(V9,V8,V5), P_c_Zorn_OUnion__lemma0__1-{F}(V10,V4,V9,V8,V11), c_lessequals-{F}(V11,V10,V7) | c_lessequals-{T}(V5,V10,V7)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #39: mergings( V0 == V15, V1 == V16, V2 == V17, V3 == V10, V5 == V11, V4 == V18, V6 == V19, V7 == V13; #23 ), references = 2, size of lhs = 12:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_c_Union-{F}(V0,V2,V3), P_v_m-{F}(V4), P_tc_set-{F}(V2,V5), P_tc_set-{F}(V6,V5), P_c_Union-{F}(V7,V6,V3), P_v_S-{F}(V8), P_c_Zorn_Osucc-{F}(V8,V4,V1,V9), P_c_Zorn_OUnion__lemma0__1-{F}(V10,V9,V7,V6,V11), c_lessequals-{F}(V11,V10,V5) | c_lessequals-{T}(V3,V10,V5)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #59: mergings( V0 == V15, V15 == V18, V1 == V16, V2 == V17, V3 == V13, V5 == V11, V16 == V19, V17 == V20, V13 == V10, V4 == V10, V10 == V12; #44 ), references = 3, size of lhs = 11:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V1,V3,V4), P_v_m-{F}(V4), P_c_Zorn_Osucc-{F}(V0,V4,V2,V5), P_tc_set-{F}(V3,V6), P_tc_set-{F}(V7,V6), P_c_Union-{F}(V8,V7,V4), P_c_Zorn_OUnion__lemma0__1-{F}(V4,V4,V8,V7,V9) | c_in-{T}(V9,V8,V6)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #73: mergings( V0 == V15, V15 == V18, V1 == V16, V2 == V17, V3 == V13, V5 == V11, V16 == V19, V17 == V20, V13 == V12, V4 == V10, V10 == V21, V6 == V22, V7 == V21; #45 ), references = 1, size of lhs = 11:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_c_Union-{F}(V0,V2,V5), P_v_m-{F}(V6), P_c_Union-{F}(V7,V4,V6), P_c_Zorn_OUnion__lemma0__1-{F}(V5,V5,V7,V4,V8), P_v_S-{F}(V9), P_c_Zorn_Osucc-{F}(V9,V6,V1,V6) | c_in-{T}(V8,V7,V3)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #86: mergings( V0 == V15, V15 == V20, V1 == V16, V2 == V17, V3 == V10, V5 == V11, V16 == V21, V17 == V22, V4 == V18, V18 == V12, V6 == V19, V7 == V13; #46 ), references = 2, size of lhs = 11:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V1,V3,V4), P_tc_set-{F}(V3,V5), P_tc_set-{F}(V6,V5), P_c_Union-{F}(V7,V6,V4), P_v_m-{F}(V8), P_c_Zorn_Osucc-{F}(V0,V8,V2,V9), P_c_Zorn_OUnion__lemma0__1-{F}(V8,V9,V7,V6,V10) | c_in-{T}(V10,V7,V5)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #96: mergings( V0 == V9, V1 == V10, V2 == V11, V3 == V7, V4 == V8; #89 ), references = 1, size of lhs = 9:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V1,V3,V4), P_tc_set-{F}(V3,V5), P_v_m-{F}(V6), P_c_Zorn_Osucc-{F}(V0,V6,V2,V4), c_in-{F}(V6,V1,V5) | c_lessequals-{T}(V6,V6,V5)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #103: mergings( V0 == V9, V1 == V10, V2 == V11, V3 == V8, V4 == V12, V6 == V13; #90 ), references = 1, size of lhs = 9:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V0,V2,V4), c_in-{F}(V4,V0,V3), P_v_m-{F}(V5), P_v_S-{F}(V6), P_c_Zorn_Osucc-{F}(V6,V5,V1,V7) | c_lessequals-{T}(V4,V5,V3)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #131: mergings( V0 == V10, V10 == V18, V1 == V11, V2 == V12, V3 == V13, V11 == V19, V12 == V20, V13 == V14, V14 == V4, V6 == V9, V15 == V7; #118 ), references = 1, size of lhs = 12:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V1,V3,V4), P_v_m-{F}(V4), P_tc_set-{F}(V3,V5), P_tc_set-{F}(V6,V5), P_c_Union-{F}(V7,V6,V4), P_c_Zorn_Osucc-{F}(V0,V4,V2,V8), P_c_Zorn_OUnion__lemma0__1-{F}(V4,V4,V7,V6,V9), c_in-{F}(V9,V1,V5) | c_lessequals-{T}(V8,V9,V5)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #146: mergings( V0 == V10, V10 == V18, V1 == V11, V2 == V12, V3 == V13, V11 == V19, V12 == V20, V13 == V4, V4 == V14, V14 == V21, V6 == V9, V7 == V15, V9 == V22, V15 == V21; #119 ), references = 1, size of lhs = 12:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_c_Union-{F}(V0,V2,V5), P_v_m-{F}(V5), P_c_Union-{F}(V6,V4,V5), P_c_Zorn_OUnion__lemma0__1-{F}(V5,V5,V6,V4,V7), c_in-{F}(V7,V0,V3), P_v_S-{F}(V8), P_c_Zorn_Osucc-{F}(V8,V5,V1,V5) | c_lessequals-{T}(V5,V7,V3)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #155: mergings( V0 == V15, V1 == V16, V2 == V17, V3 == V13, V5 == V11, V4 == V10; #147 ), references = 1, size of lhs = 12:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V1,V3,V4), P_v_m-{F}(V5), P_c_Zorn_Osucc-{F}(V0,V5,V2,V6), P_tc_set-{F}(V3,V7), P_tc_set-{F}(V8,V7), P_c_Union-{F}(V9,V8,V5), c_lessequals-{F}(V4,V10,V7), P_c_Zorn_OUnion__lemma0__1-{F}(V11,V4,V9,V8,V10) | c_lessequals-{T}(V5,V11,V7)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #164: mergings( V0 == V15, V1 == V16, V2 == V17, V3 == V10, V5 == V11, V4 == V18, V6 == V19, V7 == V13; #148 ), references = 2, size of lhs = 12:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_c_Union-{F}(V0,V2,V3), P_v_m-{F}(V4), P_tc_set-{F}(V2,V5), P_tc_set-{F}(V6,V5), P_c_Union-{F}(V7,V6,V3), P_v_S-{F}(V8), P_c_Zorn_Osucc-{F}(V8,V4,V1,V9), c_lessequals-{F}(V9,V10,V5), P_c_Zorn_OUnion__lemma0__1-{F}(V11,V9,V7,V6,V10) | c_lessequals-{T}(V3,V11,V5)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #203: mergings( V0 == V18, V18 == V34, V5 == V1, V1 == V15, V15 == V20, V20 == V23, V23 == V31, V31 == V35, V6 == V10, V7 == V11, V34 == V12, V10 == V16, V11 == V17, V16 == V21, V17 == V22, V21 == V24, V22 == V25, V12 == V26, V9 == V28, V24 == V32, V25 == V33, V32 == V36, V33 == V37, V27 == V26, V4 == V13, V8 == V26, V13 == V14, V26 == V19, V14 == V29, V19 == V30; #171 ), references = 1, size of lhs = 10:
% 0.79/0.97 P_v_S-{F}(V0), P_v_m-{F}(V1), P_v_Y-{F}(V2), P_c_Union-{F}(V2,V3,V1), P_tc_set-{F}(V3,V4), P_t_a-{F}(V5), P_c_Zorn_Osucc-{F}(V0,V1,V5,V1), P_tc_set-{F}(V5,V6), P_c_Union-{F}(V2,V6,V1), P_tc_set-{F}(V6,V4) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #236: mergings( V0 == V18, V18 == V34, V5 == V1, V1 == V15, V15 == V20, V20 == V23, V23 == V31, V31 == V35, V6 == V10, V7 == V11, V34 == V12, V10 == V16, V11 == V17, V16 == V21, V17 == V22, V21 == V24, V22 == V25, V12 == V26, V9 == V28, V24 == V32, V25 == V33, V32 == V36, V33 == V37, V27 == V26, V26 == V38, V4 == V13, V8 == V38, V13 == V14, V38 == V19, V14 == V29, V19 == V30, V29 == V39; #172 ), references = 1, size of lhs = 10:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_c_Union-{F}(V0,V4,V5), P_c_Union-{F}(V0,V2,V5), P_v_m-{F}(V5), P_v_S-{F}(V6), P_c_Zorn_Osucc-{F}(V6,V5,V1,V5) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #268: mergings( V0 == V9, V9 == V18, V1 == V10, V2 == V11, V3 == V12, V10 == V19, V11 == V20, V13 == V4, V6 == V16, V17 == V7; #257 ), references = 1, size of lhs = 12:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V1,V3,V4), P_tc_set-{F}(V3,V5), P_tc_set-{F}(V6,V5), P_c_Union-{F}(V7,V6,V4), P_v_m-{F}(V8), P_c_Zorn_Osucc-{F}(V0,V8,V2,V9), P_c_Zorn_OUnion__lemma0__1-{F}(V8,V9,V7,V6,V10), c_in-{F}(V10,V1,V5) | c_lessequals-{T}(V9,V10,V5)
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #296: mergings( V9 == V18, V18 == V27, V6 == V2, V2 == V15, V15 == V21, V21 == V24, V24 == V30, V7 == V11, V8 == V12, V27 == V13, V11 == V16, V12 == V17, V16 == V22, V17 == V23, V22 == V25, V23 == V26, V25 == V31, V26 == V32, V19 == V28, V28 == V0, V5 == V14, V14 == V20, V20 == V29; #272 ), references = 1, size of lhs = 10:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V1,V3,V4), P_c_Union-{F}(V1,V5,V4), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V3,V6), P_v_m-{F}(V7), P_c_Zorn_Osucc-{F}(V0,V7,V2,V8) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #313: mergings( V14 == V6, V6 == V20, V4 == V8, V8 == V12, V12 == V15, V15 == V18, V18 == V21, V5 == V10, V20 == V11, V10 == V13, V13 == V19, V16 == V2, V17 == V19, V2 == V22, V19 == V23; #297 ), references = 1, size of lhs = 9:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V1,V3,V4), P_c_Union-{F}(V1,V5,V4), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V3,V6), P_v_m-{F}(V7) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #317: mergings( V3 == V5, V5 == V7; #314 ), references = 2, size of lhs = 6:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_v_m-{F}(V5) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #319: exists( #8, #317 ), references = 1, size of lhs = 5:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_m-{F}(V4) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #321: exists( #8, #318 ), references = 1, size of lhs = 4:
% 0.79/0.97 P_v_S-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_v_m-{F}(V3) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #323: exists( #12, #320 ), references = 1, size of lhs = 3:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_v_m-{F}(V2) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #325: exists( #10, #322 ), references = 1, size of lhs = 2:
% 0.79/0.97 P_v_Y-{F}(V0), P_t_a-{F}(V1) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #327: exists( #9, #324 ), references = 1, size of lhs = 1:
% 0.79/0.97 P_v_Y-{F}(V0) | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 #329: exists( #7, #326 ), references = 1, size of lhs = 0:
% 0.79/0.97 FALSE | FALSE
% 0.79/0.97 (used 0 times, uses = {})
% 0.79/0.97
% 0.79/0.97 number of learnt formulas = 23
% 0.79/0.97
% 0.79/0.97
% 0.79/0.97 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.97
% 0.79/0.97 randbase = 1
%------------------------------------------------------------------------------