TSTP Solution File: SET865-2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET865-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:16:52 EDT 2022
% Result : Unsatisfiable 0.77s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET865-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 01:35:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.77/0.93 GeoParameters:
% 0.77/0.93
% 0.77/0.93 tptp_input = 1
% 0.77/0.93 tptp_output = 0
% 0.77/0.93 nonempty = 1
% 0.77/0.93 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.77/0.93
% 0.77/0.93
% 0.77/0.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93
% 0.77/0.93 RuleSystem INPUT:
% 0.77/0.93
% 0.77/0.93 Initial Rules:
% 0.77/0.93 #0: input, references = 7, size of lhs = 7:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_c_Union-{F}(V5,V0,V6), c_in-{F}(V5,V3,V4) | c_in-{T}(V6,V1,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #1: input, references = 7, size of lhs = 7:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_v_x-{F}(V5,V6), c_in-{F}(V5,V1,V2) | c_in-{T}(V6,V1,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #2: input, references = 4, size of lhs = 7:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_v_x-{F}(V5,V6), c_in-{F}(V5,V1,V2) | c_lessequals-{T}(V5,V6,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #3: input, references = 9, size of lhs = 7:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_v_x-{F}(V6,V6), c_in-{F}(V6,V1,V2) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #4: input, references = 10, size of lhs = 8:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V6,V8), c_lessequals-{F}(V5,V7,V8), c_in-{F}(V9,V5,V6) | c_in-{T}(V9,V7,V6)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #5: input, references = 11, size of lhs = 9:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_c_Zorn_OHausdorff__1-{F}(V6,V5,V7), P_c_Zorn_Omaxchain-{F}(V6,V5,V8), P_tc_set-{F}(V5,V9), P_tc_set-{F}(V9,V10) | c_in-{T}(V7,V8,V10)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #6: input, references = 5, size of lhs = 13:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_c_Union-{F}(V5,V6,V8), P_tc_set-{F}(V6,V9), P_tc_set-{F}(V9,V10), c_lessequals-{F}(V8,V7,V9), P_c_Zorn_Omaxchain-{F}(V11,V6,V12), c_in-{F}(V7,V11,V9), c_in-{F}(V5,V12,V10), V8 == V7 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #7: input, references = 9, size of lhs = 10:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_c_Zorn_Omaxchain-{F}(V6,V5,V7), P_c_Zorn_Ochain-{F}(V6,V5,V8), P_tc_set-{F}(V5,V9), P_tc_set-{F}(V9,V10), P_tc_set-{F}(V10,V11) | c_lessequals-{T}(V7,V8,V11)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #8: input, references = 4, size of lhs = 2:
% 0.77/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Union-{T}(V0,V1,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #9: input, references = 4, size of lhs = 0:
% 0.77/0.93 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #10: input, references = 4, size of lhs = 0:
% 0.77/0.93 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #11: input, references = 8, size of lhs = 1:
% 0.77/0.93 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #12: input, references = 4, size of lhs = 2:
% 0.77/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Zorn_Ochain-{T}(V0,V1,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #13: input, references = 4, size of lhs = 1:
% 0.77/0.93 #-{F} V0 | EXISTS V1: P_v_x-{T}(V0,V1)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #14: input, references = 4, size of lhs = 2:
% 0.77/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Zorn_OHausdorff__1-{T}(V0,V1,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #15: input, references = 10, size of lhs = 2:
% 0.77/0.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Zorn_Omaxchain-{T}(V0,V1,V2)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 number of initial rules = 16
% 0.77/0.93
% 0.77/0.93 Simplifiers:
% 0.77/0.93 #16: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_c_Union-{F}(V0,V1,V2), P_c_Union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #17: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #18: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #19: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #20: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_c_Zorn_Ochain-{F}(V0,V1,V2), P_c_Zorn_Ochain-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #21: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_v_x-{F}(V0,V1), P_v_x-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #22: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_c_Zorn_OHausdorff__1-{F}(V0,V1,V2), P_c_Zorn_OHausdorff__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #23: unsound, references = 3, size of lhs = 3:
% 0.77/0.93 P_c_Zorn_Omaxchain-{F}(V0,V1,V2), P_c_Zorn_Omaxchain-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 number of simplifiers = 8
% 0.77/0.93
% 0.77/0.93 Learnt:
% 0.77/0.93 #51: mergings( V3 == V8, V8 == V13, V13 == V18, V18 == V22, V4 == V9, V9 == V14, V14 == V23, V5 == V10, V7 == V12, V10 == V15, V12 == V17, V15 == V19, V17 == V20, V20 == V26, V28 == V29, V27 == V26, V6 == V11, V11 == V16, V16 == V24, V24 == V25; #30 ), references = 2, size of lhs = 12:
% 0.77/0.93 P_t_a-{F}(V0), P_tc_set-{F}(V0,V1), P_v_S-{F}(V2), P_c_Zorn_Ochain-{F}(V2,V0,V3), P_tc_set-{F}(V1,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V6), P_c_Zorn_Ochain-{F}(V8,V7,V3), P_c_Zorn_OHausdorff__1-{F}(V8,V7,V9), P_c_Union-{F}(V9,V0,V10), P_v_x-{F}(V10,V10) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #77: mergings( V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19, V5 == V10, V7 == V12, V10 == V15, V12 == V17, V15 == V20, V17 == V21, V21 == V23, V25 == V26, V24 == V20, V6 == V11, V11 == V16, V16 == V22; #58 ), references = 1, size of lhs = 10:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V5,V2), P_tc_set-{F}(V6,V5), P_c_Zorn_Ochain-{F}(V7,V6,V1), P_c_Zorn_OHausdorff__1-{F}(V7,V6,V8), P_v_x-{F}(V8,V8) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #109: mergings( V3 == V8, V8 == V13, V13 == V18, V18 == V22, V4 == V9, V9 == V14, V14 == V23, V5 == V10, V7 == V12, V10 == V15, V12 == V17, V15 == V19, V17 == V20, V20 == V21, V21 == V26, V28 == V29, V27 == V19, V6 == V11, V11 == V16, V16 == V24, V24 == V25; #87 ), references = 2, size of lhs = 11:
% 0.77/0.93 P_t_a-{F}(V0), P_tc_set-{F}(V0,V1), P_v_S-{F}(V2), P_c_Zorn_Ochain-{F}(V2,V0,V3), P_tc_set-{F}(V1,V4), P_tc_set-{F}(V5,V1), P_tc_set-{F}(V6,V5), P_c_Zorn_Ochain-{F}(V7,V6,V2), P_c_Zorn_OHausdorff__1-{F}(V7,V6,V8), P_v_x-{F}(V8,V9), P_v_x-{F}(V9,V9) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #155: mergings( V3 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V4 == V9, V9 == V14, V14 == V19, V19 == V29, V5 == V10, V7 == V12, V10 == V15, V12 == V17, V15 == V20, V17 == V22, V20 == V24, V22 == V25, V25 == V26, V26 == V27, V27 == V32, V34 == V36, V33 == V24, V6 == V11, V11 == V16, V16 == V21, V21 == V30, V30 == V31; #127 ), references = 1, size of lhs = 12:
% 0.77/0.93 P_t_a-{F}(V0), P_tc_set-{F}(V0,V1), P_v_S-{F}(V2), P_c_Zorn_Ochain-{F}(V2,V0,V3), P_tc_set-{F}(V1,V4), P_tc_set-{F}(V5,V1), P_tc_set-{F}(V6,V5), c_lessequals-{F}(V7,V2,V4), P_c_Zorn_Ochain-{F}(V8,V6,V7), P_c_Zorn_OHausdorff__1-{F}(V8,V6,V9), P_v_x-{F}(V9,V10), P_v_x-{F}(V10,V10) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #196: mergings( V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19, V5 == V10, V7 == V12, V10 == V15, V12 == V17, V15 == V20, V17 == V22, V23 == V29, V24 == V26, V25 == V28, V6 == V11, V11 == V16, V16 == V21; #177 ), references = 2, size of lhs = 16:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V7,V9), P_c_Zorn_Ochain-{F}(V10,V5,V11), P_c_Zorn_OHausdorff__1-{F}(V10,V5,V12), P_c_Zorn_Omaxchain-{F}(V11,V8,V13), c_in-{F}(V14,V13,V9), P_c_Union-{F}(V14,V8,V15), V15 == V12, c_lessequals-{F}(V15,V12,V7) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #226: mergings( V3 == V8, V4 == V9, V5 == V10, V7 == V12, V13 == V15, V6 == V11; #219 ), references = 1, size of lhs = 15:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V6), P_tc_set-{F}(V9,V8), P_c_Zorn_Ochain-{F}(V10,V9,V11), P_c_Zorn_OHausdorff__1-{F}(V11,V5,V12), P_c_Union-{F}(V12,V5,V13), P_c_Zorn_OHausdorff__1-{F}(V10,V9,V14), V13 == V14, c_lessequals-{F}(V13,V14,V6) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #252: mergings( V2 == V7, V7 == V11, V3 == V8, V8 == V12, V6 == V10, V4 == V13, V10 == V15, V15 == V17, V5 == V9, V9 == V14; #241 ), references = 1, size of lhs = 10:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_c_Zorn_Ochain-{F}(V1,V0,V3), P_tc_set-{F}(V4,V2), P_tc_set-{F}(V2,V5), P_c_Zorn_Omaxchain-{F}(V1,V4,V6), c_in-{F}(V7,V6,V5), P_c_Union-{F}(V7,V4,V8), c_in-{F}(V8,V1,V2) | P_v_x-{T}(V8,V8)
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #274: mergings( V1 == V5, V5 == V7, V7 == V9, V9 == V15, V10 == V16, V4 == V6, V6 == V8, V8 == V14, V11 == V3, V13 == V14, V14 == V22, V12 == V17, V17 == V18, V18 == V19, V19 == V21; #257 ), references = 2, size of lhs = 8:
% 0.77/0.93 P_t_a-{F}(V0), P_tc_set-{F}(V0,V1), P_v_S-{F}(V2), P_c_Zorn_Omaxchain-{F}(V2,V0,V3), P_c_Zorn_Ochain-{F}(V2,V0,V4), P_tc_set-{F}(V1,V5), c_in-{F}(V6,V4,V5), c_in-{F}(V6,V3,V5) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #291: mergings( V5 == V7, V7 == V13, V13 == V1, V8 == V14, V14 == V21, V4 == V6, V6 == V12, V12 == V18, V15 == V3, V17 == V18, V3 == V20, V18 == V23, V10 == V11, V11 == V16, V16 == V9, V9 == V22; #258 ), references = 1, size of lhs = 13:
% 0.77/0.93 P_t_a-{F}(V0), P_tc_set-{F}(V0,V1), P_v_S-{F}(V2), P_c_Zorn_Omaxchain-{F}(V2,V0,V3), P_c_Zorn_Ochain-{F}(V2,V0,V4), P_tc_set-{F}(V1,V5), P_tc_set-{F}(V5,V6), c_in-{F}(V7,V4,V5), c_in-{F}(V7,V3,V5), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), P_c_Zorn_Ochain-{F}(V10,V9,V4), P_c_Zorn_OHausdorff__1-{F}(V10,V9,V7) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #318: mergings( V3 == V8, V8 == V13, V13 == V1, V4 == V9, V9 == V14, V14 == V0, V5 == V10, V7 == V12, V10 == V15, V12 == V17, V15 == V18, V17 == V20, V18 == V23, V20 == V22, V23 == V24, V6 == V11, V11 == V16, V16 == V19; #298 ), references = 1, size of lhs = 7:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_c_Zorn_Ochain-{F}(V1,V0,V2), P_tc_set-{F}(V0,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_OHausdorff__1-{F}(V1,V0,V6) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #339: mergings( V3 == V8, V8 == V13, V13 == V1, V4 == V9, V9 == V14, V14 == V0, V5 == V10, V7 == V12, V10 == V15, V12 == V17, V15 == V18, V17 == V19, V18 == V21, V19 == V22, V21 == V24, V6 == V11, V11 == V16, V16 == V23; #319 ), references = 1, size of lhs = 6:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_c_Zorn_Ochain-{F}(V1,V0,V2), P_tc_set-{F}(V0,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V4,V5) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #351: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V12, V10 == V13, V12 == V14; #340 ), references = 2, size of lhs = 5:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #353: exists( #11, #109 ), references = 1, size of lhs = 10:
% 0.77/0.93 P_t_a-{F}(V0), P_tc_set-{F}(V0,V1), P_v_S-{F}(V2), P_c_Zorn_Ochain-{F}(V2,V0,V3), P_tc_set-{F}(V4,V1), P_tc_set-{F}(V5,V4), P_c_Zorn_Ochain-{F}(V6,V5,V2), P_c_Zorn_OHausdorff__1-{F}(V6,V5,V7), P_v_x-{F}(V7,V8), P_v_x-{F}(V8,V8) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #365: mergings( V2 == V5, V5 == V6, V6 == V7, V3 == V8, V4 == V9, V9 == V10, V10 == V11; #357 ), references = 1, size of lhs = 10:
% 0.77/0.93 P_t_a-{F}(V0), P_tc_set-{F}(V0,V1), P_v_S-{F}(V2), P_c_Zorn_Ochain-{F}(V2,V0,V3), P_tc_set-{F}(V4,V1), P_c_Zorn_Omaxchain-{F}(V5,V4,V3), P_c_Zorn_OHausdorff__1-{F}(V5,V4,V6), P_c_Union-{F}(V6,V0,V7), P_v_x-{F}(V7,V8), P_v_x-{F}(V8,V8) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #369: exists( #11, #351 ), references = 1, size of lhs = 4:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2), P_tc_set-{F}(V2,V3) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #373: exists( #11, #366 ), references = 1, size of lhs = 3:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1), P_tc_set-{F}(V0,V2) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #375: exists( #11, #370 ), references = 1, size of lhs = 2:
% 0.77/0.93 P_t_a-{F}(V0), P_v_S-{F}(V1) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #377: exists( #10, #374 ), references = 1, size of lhs = 1:
% 0.77/0.93 P_t_a-{F}(V0) | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 #379: exists( #9, #376 ), references = 1, size of lhs = 0:
% 0.77/0.93 FALSE | FALSE
% 0.77/0.93 (used 0 times, uses = {})
% 0.77/0.93
% 0.77/0.93 number of learnt formulas = 19
% 0.77/0.93
% 0.77/0.93
% 0.77/0.93 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.93
% 0.77/0.93 randbase = 1
%------------------------------------------------------------------------------