TSTP Solution File: SET842-2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET842-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:16:49 EDT 2022
% Result : Unsatisfiable 4.43s 4.67s
% Output : Refutation 4.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET842-2 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 01:58:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.43/4.67 GeoParameters:
% 4.43/4.67
% 4.43/4.67 tptp_input = 1
% 4.43/4.67 tptp_output = 0
% 4.43/4.67 nonempty = 1
% 4.43/4.67 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.43/4.67 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.43/4.67
% 4.43/4.67
% 4.43/4.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.43/4.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.43/4.67
% 4.43/4.67 RuleSystem INPUT:
% 4.43/4.67
% 4.43/4.67 Initial Rules:
% 4.43/4.67 #0: input, references = 14, size of lhs = 7:
% 4.43/4.67 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
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #1: input, references = 12, size of lhs = 7:
% 4.43/4.67 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_in-{F}(V6,V0,V5) | c_lessequals-{T}(V6,V4,V5)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #2: input, references = 15, size of lhs = 10:
% 4.43/4.67 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_c_Union-{F}(V7,V8,V9), P_c_Main_OUnionE__1-{F}(V6,V7,V8,V10), P_tc_set-{F}(V8,V11), c_in-{F}(V6,V9,V8) | c_in-{T}(V10,V7,V11)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #3: input, references = 6, size of lhs = 9:
% 4.43/4.67 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_c_Union-{F}(V7,V8,V9), P_c_Main_OUnionE__1-{F}(V6,V7,V8,V10), c_in-{F}(V6,V9,V8) | c_in-{T}(V6,V10,V8)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #4: input, references = 15, size of lhs = 9:
% 4.43/4.67 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,V9), c_in-{F}(V7,V10,V6), c_lessequals-{F}(V10,V8,V9) | c_in-{T}(V7,V8,V6)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #5: input, references = 14, size of lhs = 8:
% 4.43/4.67 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_c_Main_OsubsetI__1-{F}(V6,V8,V7,V9), P_tc_set-{F}(V7,V10) | c_in-{T}(V9,V6,V7), c_lessequals-{T}(V6,V8,V10)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #6: input, references = 8, size of lhs = 9:
% 4.43/4.67 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_c_Main_OsubsetI__1-{F}(V6,V8,V7,V9), P_tc_set-{F}(V7,V10), c_in-{F}(V9,V8,V7) | c_lessequals-{T}(V6,V8,V10)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #7: input, references = 4, size of lhs = 2:
% 4.43/4.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Union-{T}(V0,V1,V2)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #8: input, references = 4, size of lhs = 0:
% 4.43/4.67 FALSE | EXISTS V0: P_v_Y-{T}(V0)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #9: input, references = 6, size of lhs = 1:
% 4.43/4.67 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #10: input, references = 4, size of lhs = 0:
% 4.43/4.67 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #11: input, references = 4, size of lhs = 0:
% 4.43/4.67 FALSE | EXISTS V0: P_v_m-{T}(V0)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #12: input, references = 4, size of lhs = 3:
% 4.43/4.67 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Main_OUnionE__1-{T}(V0,V1,V2,V3)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #13: input, references = 7, size of lhs = 3:
% 4.43/4.67 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Main_OsubsetI__1-{T}(V0,V1,V2,V3)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 number of initial rules = 14
% 4.43/4.67
% 4.43/4.67 Simplifiers:
% 4.43/4.67 #14: unsound, references = 3, size of lhs = 3:
% 4.43/4.67 P_c_Union-{F}(V0,V1,V2), P_c_Union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #15: unsound, references = 3, size of lhs = 3:
% 4.43/4.67 P_v_Y-{F}(V0), P_v_Y-{F}(V1), V0 == V1 | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #16: unsound, references = 3, size of lhs = 3:
% 4.43/4.67 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #17: unsound, references = 3, size of lhs = 3:
% 4.43/4.67 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #18: unsound, references = 3, size of lhs = 3:
% 4.43/4.67 P_v_m-{F}(V0), P_v_m-{F}(V1), V0 == V1 | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #19: unsound, references = 3, size of lhs = 3:
% 4.43/4.67 P_c_Main_OUnionE__1-{F}(V0,V1,V2,V3), P_c_Main_OUnionE__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #20: unsound, references = 3, size of lhs = 3:
% 4.43/4.67 P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 number of simplifiers = 7
% 4.43/4.67
% 4.43/4.67 Learnt:
% 4.43/4.67 #55: mergings( V0 == V11, V11 == V17, V17 == V23, V23 == V29, V29 == V34, V39 == V10, V1 == V12, V2 == V13, V3 == V14, V5 == V16, V12 == V18, V13 == V19, V14 == V20, V16 == V22, V18 == V24, V19 == V25, V20 == V26, V22 == V28, V24 == V30, V25 == V31, V26 == V32, V28 == V33, V30 == V35, V31 == V36, V32 == V37, V4 == V15, V15 == V21, V21 == V27, V27 == V38; #25 ), references = 1, size of lhs = 15:
% 4.43/4.67 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), P_v_m-{F}(V5), P_tc_set-{F}(V6,V3), P_c_Union-{F}(V0,V6,V7), P_tc_set-{F}(V8,V6), P_c_Union-{F}(V7,V8,V9), P_c_Main_OUnionE__1-{F}(V10,V0,V6,V4), P_c_Main_OUnionE__1-{F}(V11,V7,V8,V10), P_c_Main_OUnionE__1-{F}(V11,V12,V8,V9), P_c_Union-{F}(V12,V8,V13), P_c_Main_OsubsetI__1-{F}(V13,V14,V8,V11) | c_lessequals-{T}(V13,V14,V6)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #76: mergings( V0 == V11, V11 == V17, V17 == V22, V21 == V10, V1 == V12, V2 == V13, V3 == V14, V5 == V16, V12 == V18, V13 == V19, V14 == V20, V16 == V10, V18 == V23, V19 == V24, V20 == V25, V4 == V15, V15 == V26; #58 ), references = 1, size of lhs = 10:
% 4.43/4.67 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), P_v_m-{F}(V5), P_tc_set-{F}(V6,V3), P_c_Union-{F}(V0,V6,V7), P_c_Main_OUnionE__1-{F}(V8,V0,V6,V4), P_c_Main_OsubsetI__1-{F}(V7,V9,V6,V8) | c_lessequals-{T}(V7,V9,V3)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #104: mergings( V0 == V11, V11 == V17, V17 == V23, V23 == V30, V27 == V10, V1 == V12, V2 == V13, V3 == V14, V5 == V16, V12 == V18, V13 == V19, V14 == V20, V16 == V22, V18 == V24, V19 == V25, V20 == V26, V22 == V10, V24 == V31, V25 == V32, V26 == V33, V4 == V15, V15 == V21, V21 == V34; #80 ), references = 1, size of lhs = 12:
% 4.43/4.67 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}(V3,V4), c_lessequals-{F}(V5,V0,V4), P_c_Union-{F}(V0,V2,V6), P_v_m-{F}(V7), P_tc_set-{F}(V8,V3), P_c_Union-{F}(V5,V8,V9), P_c_Main_OUnionE__1-{F}(V10,V5,V8,V6), P_c_Main_OsubsetI__1-{F}(V9,V11,V8,V10) | c_lessequals-{T}(V9,V11,V3)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #146: mergings( V0 == V11, V11 == V17, V17 == V23, V23 == V29, V29 == V35, V35 == V42, V49 == V10, V1 == V12, V2 == V13, V3 == V14, V5 == V16, V12 == V18, V13 == V19, V14 == V20, V16 == V22, V18 == V24, V19 == V25, V20 == V26, V22 == V28, V24 == V30, V25 == V31, V26 == V32, V28 == V34, V30 == V36, V31 == V37, V32 == V38, V34 == V39, V36 == V43, V37 == V44, V38 == V45, V4 == V15, V15 == V21, V21 == V27, V27 == V33, V33 == V46; #110 ), references = 1, size of lhs = 18:
% 4.43/4.67 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}(V3,V4), c_lessequals-{F}(V5,V0,V4), P_c_Union-{F}(V0,V2,V6), P_v_m-{F}(V7), P_tc_set-{F}(V8,V3), P_c_Union-{F}(V5,V8,V9), P_tc_set-{F}(V10,V8), P_c_Union-{F}(V9,V10,V11), P_tc_set-{F}(V12,V10), P_c_Union-{F}(V11,V12,V13), P_c_Main_OUnionE__1-{F}(V14,V5,V8,V6), P_c_Main_OUnionE__1-{F}(V15,V9,V10,V14), P_c_Main_OUnionE__1-{F}(V16,V11,V12,V15), P_c_Main_OsubsetI__1-{F}(V13,V17,V12,V16) | c_lessequals-{T}(V13,V17,V10)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #175: mergings( V0 == V11, V11 == V17, V17 == V23, V23 == V28, V33 == V10, V1 == V12, V2 == V13, V3 == V14, V5 == V16, V12 == V18, V13 == V19, V14 == V20, V16 == V22, V18 == V24, V19 == V25, V20 == V26, V22 == V27, V24 == V29, V25 == V30, V26 == V31, V4 == V15, V15 == V21, V21 == V32; #151 ), references = 1, size of lhs = 13:
% 4.43/4.67 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), P_v_m-{F}(V5), P_tc_set-{F}(V6,V3), P_c_Union-{F}(V0,V6,V7), P_tc_set-{F}(V8,V6), P_c_Union-{F}(V7,V8,V9), P_c_Main_OUnionE__1-{F}(V10,V0,V6,V4), P_c_Main_OUnionE__1-{F}(V11,V7,V8,V10), P_c_Main_OsubsetI__1-{F}(V9,V12,V8,V11) | c_lessequals-{T}(V9,V12,V6)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #192: mergings( V0 == V11, V11 == V17, V21 == V10, V1 == V12, V2 == V13, V3 == V14, V5 == V16, V12 == V18, V13 == V19, V14 == V20, V16 == V10, V4 == V15, V15 == V6; #178 ), references = 1, size of lhs = 9:
% 4.43/4.67 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_Main_OsubsetI__1-{F}(V3,V4,V6,V7), P_c_Main_OsubsetI__1-{F}(V4,V8,V6,V7) | c_lessequals-{T}(V4,V8,V5)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #211: mergings( V3 == V9, V9 == V15, V15 == V20, V18 == V19, V4 == V10, V5 == V11, V6 == V12, V8 == V14, V10 == V16, V11 == V17, V12 == V0, V14 == V19, V16 == V21, V17 == V22, V7 == V13, V13 == V0; #194 ), references = 1, size of lhs = 7:
% 4.43/4.67 P_v_m-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V1,V3,V0), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #265: mergings( V0 == V11, V11 == V17, V17 == V23, V23 == V29, V29 == V36, V33 == V10, V1 == V12, V2 == V13, V3 == V14, V5 == V16, V12 == V18, V13 == V19, V14 == V20, V16 == V22, V18 == V24, V19 == V25, V20 == V26, V22 == V28, V24 == V30, V25 == V31, V26 == V32, V28 == V10, V30 == V37, V31 == V38, V32 == V39, V4 == V15, V15 == V21, V21 == V27, V27 == V40; #235 ), references = 1, size of lhs = 14:
% 4.43/4.67 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}(V3,V4), c_lessequals-{F}(V5,V0,V4), P_c_Union-{F}(V0,V2,V6), P_v_m-{F}(V7), P_tc_set-{F}(V8,V3), P_tc_set-{F}(V9,V3), P_c_Union-{F}(V5,V9,V10), P_c_Main_OUnionE__1-{F}(V11,V5,V9,V6), c_in-{F}(V11,V12,V9), P_c_Main_OsubsetI__1-{F}(V12,V10,V8,V13) | c_in-{T}(V13,V12,V8)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #334: mergings( V0 == V11, V11 == V17, V17 == V23, V23 == V29, V10 == V28, V1 == V12, V2 == V13, V3 == V14, V5 == V16, V12 == V18, V13 == V19, V14 == V20, V16 == V22, V18 == V24, V19 == V25, V20 == V26, V22 == V27, V24 == V30, V25 == V31, V26 == V32, V4 == V15, V15 == V21, V21 == V33; #310 ), references = 1, size of lhs = 11:
% 4.43/4.67 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}(V3,V4), P_tc_set-{F}(V5,V4), c_lessequals-{F}(V6,V0,V4), P_c_Union-{F}(V0,V2,V7), c_in-{F}(V7,V8,V3), P_c_Main_OsubsetI__1-{F}(V8,V6,V5,V9), P_v_m-{F}(V10) | c_in-{T}(V9,V8,V5)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #391: mergings( V0 == V11, V1 == V12, V2 == V13, V3 == V6, V5 == V10, V4 == V7; #384 ), references = 3, size of lhs = 8:
% 4.43/4.67 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_Main_OsubsetI__1-{F}(V3,V4,V6,V7) | c_in-{T}(V7,V3,V6)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #424: mergings( V4 == V8, V8 == V14, V14 == V20, V20 == V26, V7 == V29, V29 == V30, V30 == V31, V5 == V9, V6 == V10, V0 == V11, V31 == V13, V9 == V15, V10 == V16, V11 == V17, V13 == V19, V15 == V21, V16 == V22, V17 == V23, V19 == V25, V21 == V27, V22 == V28, V12 == V18, V18 == V24, V24 == V1; #399 ), references = 2, size of lhs = 9:
% 4.43/4.67 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), c_lessequals-{F}(V7,V4,V5), c_lessequals-{F}(V3,V7,V5) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #513: mergings( V0 == V11, V1 == V12, V2 == V13, V3 == V6, V5 == V10, V4 == V14; #506 ), references = 1, size of lhs = 10:
% 4.43/4.67 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_tc_set-{F}(V7,V5), c_lessequals-{F}(V8,V4,V5), P_c_Main_OsubsetI__1-{F}(V3,V8,V6,V9) | c_in-{T}(V9,V3,V6)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #814: mergings( V46 == V47, V4 == V10, V10 == V16, V16 == V22, V22 == V28, V28 == V34, V34 == V40, V45 == V26, V5 == V11, V6 == V12, V7 == V13, V9 == V15, V11 == V17, V12 == V18, V13 == V19, V15 == V21, V17 == V23, V18 == V24, V19 == V25, V21 == V26, V23 == V29, V24 == V30, V25 == V31, V26 == V33, V29 == V35, V30 == V36, V31 == V37, V33 == V39, V35 == V41, V36 == V42, V37 == V43, V8 == V14, V14 == V20, V20 == V32, V32 == V38, V38 == V44; #776 ), references = 2, size of lhs = 12:
% 4.43/4.67 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}(V5,V6), c_lessequals-{F}(V7,V0,V6), P_tc_set-{F}(V8,V5), P_c_Main_OsubsetI__1-{F}(V3,V4,V8,V9), P_c_Union-{F}(V7,V8,V10), c_in-{F}(V9,V10,V8) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #852: mergings( V48 == V49, V4 == V10, V10 == V16, V16 == V22, V22 == V29, V29 == V35, V35 == V41, V46 == V27, V5 == V11, V6 == V12, V7 == V13, V9 == V15, V11 == V17, V12 == V18, V13 == V19, V15 == V21, V17 == V23, V18 == V24, V19 == V25, V21 == V27, V23 == V30, V24 == V31, V25 == V32, V27 == V34, V30 == V36, V31 == V37, V32 == V38, V34 == V40, V36 == V42, V37 == V43, V38 == V44, V8 == V14, V14 == V20, V20 == V26, V26 == V33, V33 == V39, V39 == V45; #777 ), references = 1, size of lhs = 14:
% 4.43/4.67 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}(V4,V4,V5), P_tc_set-{F}(V5,V6), c_lessequals-{F}(V7,V0,V6), P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V5), P_c_Main_OsubsetI__1-{F}(V3,V4,V9,V10), P_c_Union-{F}(V7,V9,V11), c_in-{F}(V10,V11,V9) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #862: mergings( V4 == V8, V7 == V11, V5 == V9, V6 == V10; #856 ), references = 2, size of lhs = 10:
% 4.43/4.67 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_tc_set-{F}(V5,V7), c_lessequals-{F}(V8,V0,V7), P_c_Union-{F}(V8,V6,V3) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #874: mergings( V0 == V11, V11 == V7, V15 == V20, V1 == V12, V2 == V13, V3 == V14, V5 == V20, V12 == V17, V13 == V18, V4 == V19; #863 ), references = 2, size of lhs = 11:
% 4.43/4.67 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_tc_set-{F}(V5,V7), P_tc_set-{F}(V8,V7), P_c_Union-{F}(V9,V6,V3), P_c_Main_OsubsetI__1-{F}(V9,V0,V8,V10) | c_in-{T}(V10,V9,V8)
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #890: mergings( V10 == V0, V9 == V22, V3 == V11, V4 == V12, V13 == V5, V7 == V15, V11 == V16, V12 == V17, V5 == V18, V15 == V20, V6 == V14, V14 == V19; #877 ), references = 1, size of lhs = 12:
% 4.43/4.67 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_c_Union-{F}(V0,V2,V3), P_c_Union-{F}(V0,V4,V3), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V2,V5), P_v_m-{F}(V6), P_tc_set-{F}(V7,V5), P_c_Union-{F}(V0,V7,V3), P_tc_set-{F}(V5,V8), P_tc_set-{F}(V9,V8) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #899: mergings( V5 == V10, V6 == V14, V10 == V13, V3 == V8, V8 == V11, V4 == V9, V9 == V12; #891 ), references = 2, size of lhs = 7:
% 4.43/4.67 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_v_m-{F}(V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #902: exists( #9, #899 ), references = 1, size of lhs = 5:
% 4.43/4.67 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_v_m-{F}(V3), P_tc_set-{F}(V2,V4) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #904: exists( #9, #900 ), references = 1, size of lhs = 4:
% 4.43/4.67 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_tc_set-{F}(V1,V2), P_v_m-{F}(V3) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #906: exists( #9, #903 ), references = 1, size of lhs = 3:
% 4.43/4.67 P_v_Y-{F}(V0), P_t_a-{F}(V1), P_v_m-{F}(V2) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #908: exists( #11, #905 ), references = 1, size of lhs = 2:
% 4.43/4.67 P_v_Y-{F}(V0), P_t_a-{F}(V1) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #910: exists( #10, #907 ), references = 1, size of lhs = 1:
% 4.43/4.67 P_v_Y-{F}(V0) | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 #912: exists( #8, #909 ), references = 1, size of lhs = 0:
% 4.43/4.67 FALSE | FALSE
% 4.43/4.67 (used 0 times, uses = {})
% 4.43/4.67
% 4.43/4.67 number of learnt formulas = 24
% 4.43/4.67
% 4.43/4.67
% 4.43/4.67 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.43/4.67
% 4.43/4.67 randbase = 1
%------------------------------------------------------------------------------