TSTP Solution File: SET840-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET840-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:16:48 EDT 2022
% Result : Unsatisfiable 5.63s 5.85s
% Output : Refutation 5.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET840-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 01:48:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.63/5.85 GeoParameters:
% 5.63/5.85
% 5.63/5.85 tptp_input = 1
% 5.63/5.85 tptp_output = 0
% 5.63/5.85 nonempty = 1
% 5.63/5.85 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.63/5.85 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.63/5.85
% 5.63/5.85
% 5.63/5.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.63/5.85 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.63/5.85
% 5.63/5.85 RuleSystem INPUT:
% 5.63/5.85
% 5.63/5.85 Initial Rules:
% 5.63/5.85 #0: input, references = 6, size of lhs = 7:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_insert-{F}(V5,V1,V3,V6), c_lessequals-{F}(V0,V6,V4) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #1: input, references = 5, size of lhs = 7:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), c_in-{F}(V6,V0,V3) | c_lessequals-{T}(V5,V6,V3)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #2: input, references = 6, size of lhs = 10:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V7,V9), P_c_Union-{F}(V8,V7,V10), c_in-{F}(V6,V8,V9), c_in-{F}(V11,V6,V7) | c_in-{T}(V11,V10,V7)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #3: input, references = 7, size of lhs = 8:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), c_in-{F}(V7,V8,V6), P_c_insert-{F}(V9,V8,V6,V10) | c_in-{T}(V7,V10,V6)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #4: input, references = 5, size of lhs = 7:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_c_insert-{F}(V8,V7,V6,V9) | c_in-{T}(V8,V9,V6)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #5: input, references = 6, size of lhs = 9:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_c_insert-{F}(V7,V9,V8,V10), c_in-{F}(V6,V10,V8), V6 == V7 | c_in-{T}(V6,V9,V8)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #6: input, references = 7, size of lhs = 8:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,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)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #7: input, references = 15, size of lhs = 9:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,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)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #8: input, references = 6, size of lhs = 10:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V8,V9), c_lessequals-{F}(V7,V6,V9), c_lessequals-{F}(V6,V7,V9), V6 == V7 | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #9: input, references = 4, size of lhs = 0:
% 5.63/5.85 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #10: input, references = 8, size of lhs = 3:
% 5.63/5.85 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #11: input, references = 4, size of lhs = 0:
% 5.63/5.85 FALSE | EXISTS V0: P_c_emptyset-{T}(V0)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #12: input, references = 8, size of lhs = 1:
% 5.63/5.85 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #13: input, references = 5, size of lhs = 0:
% 5.63/5.85 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #14: input, references = 5, size of lhs = 2:
% 5.63/5.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Union-{T}(V0,V1,V2)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #15: input, references = 11, size of lhs = 3:
% 5.63/5.85 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Main_OsubsetI__1-{T}(V0,V1,V2,V3)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 number of initial rules = 16
% 5.63/5.85
% 5.63/5.85 Simplifiers:
% 5.63/5.85 #16: unsound, references = 3, size of lhs = 3:
% 5.63/5.85 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #17: unsound, references = 3, size of lhs = 3:
% 5.63/5.85 P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #18: unsound, references = 3, size of lhs = 3:
% 5.63/5.85 P_c_emptyset-{F}(V0), P_c_emptyset-{F}(V1), V0 == V1 | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #19: unsound, references = 3, size of lhs = 3:
% 5.63/5.85 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #20: unsound, references = 3, size of lhs = 3:
% 5.63/5.85 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #21: unsound, references = 3, size of lhs = 3:
% 5.63/5.85 P_c_Union-{F}(V0,V1,V2), P_c_Union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #22: unsound, references = 3, size of lhs = 3:
% 5.63/5.85 P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 number of simplifiers = 7
% 5.63/5.85
% 5.63/5.85 Learnt:
% 5.63/5.85 #33: mergings( V0 == V11, V1 == V12, V2 == V13, V3 == V14, V4 == V15, V5 == V16; #26 ), references = 5, size of lhs = 11:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), c_lessequals-{F}(V9,V10,V7), V9 == V10, P_c_Main_OsubsetI__1-{F}(V10,V9,V6,V11) | c_in-{T}(V11,V10,V6)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #64: mergings( V4 == V10, V10 == V16, V16 == V22, V22 == V28, V5 == V11, V11 == V17, V17 == V23, V23 == V29, V34 == V36, V36 == V38, V6 == V12, V7 == V13, V8 == V14, V12 == V18, V13 == V19, V14 == V20, V18 == V24, V19 == V25, V20 == V26, V24 == V30, V25 == V31, V26 == V32, V9 == V15, V15 == V21, V21 == V27, V27 == V33; #37 ), references = 5, size of lhs = 13:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V9,V7), c_in-{F}(V10,V11,V7), P_c_Union-{F}(V11,V9,V12), V12 == V10, c_lessequals-{F}(V12,V10,V7) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #99: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V11 == V17, V17 == V23, V28 == V30, V6 == V12, V7 == V13, V8 == V14, V12 == V18, V13 == V19, V14 == V20, V18 == V24, V19 == V25, V20 == V26, V9 == V15, V15 == V21, V21 == V27; #78 ), references = 5, size of lhs = 12:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V9,V7), c_lessequals-{F}(V10,V11,V7), V10 == V11, P_c_insert-{F}(V12,V11,V8,V10) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #119: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V11 == V17, V17 == V23, V28 == V30, V6 == V12, V7 == V13, V8 == V14, V12 == V18, V13 == V19, V14 == V20, V18 == V24, V19 == V25, V20 == V26, V9 == V15, V15 == V21, V21 == V27; #79 ), references = 2, size of lhs = 16:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V9,V7), P_tc_set-{F}(V10,V7), P_tc_set-{F}(V11,V7), P_c_Union-{F}(V12,V11,V13), c_lessequals-{F}(V14,V13,V7), V13 == V14, c_in-{F}(V14,V12,V7), P_c_insert-{F}(V15,V13,V8,V14) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #268: mergings( V0 == V11, V1 == V12, V2 == V13, V3 == V14, V4 == V15, V5 == V16; #260 ), references = 2, size of lhs = 13:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V9,V7), P_tc_set-{F}(V10,V7), P_c_insert-{F}(V11,V12,V9,V13), V13 == V12, P_c_Main_OsubsetI__1-{F}(V13,V12,V6,V14) | c_in-{T}(V14,V13,V6)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #275: mergings( V0 == V11, V1 == V12, V2 == V13, V3 == V14, V4 == V15, V5 == V16; #261 ), references = 1, size of lhs = 17:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V9,V7), P_tc_set-{F}(V10,V7), P_tc_set-{F}(V11,V7), P_tc_set-{F}(V12,V7), P_c_Union-{F}(V13,V12,V14), c_in-{F}(V15,V13,V7), V14 == V15, P_c_Main_OsubsetI__1-{F}(V15,V14,V6,V16), P_c_insert-{F}(V17,V14,V9,V15) | c_in-{T}(V16,V15,V6)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #298: mergings( V4 == V10, V10 == V0, V0 == V24, V5 == V11, V11 == V16, V16 == V25, V18 == V22, V6 == V12, V7 == V13, V8 == V14, V12 == V17, V13 == V2, V14 == V22, V17 == V26, V2 == V27, V22 == V28, V9 == V15, V15 == V23, V23 == V29; #278 ), references = 1, size of lhs = 15:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{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_c_Union-{F}(V0,V2,V8), P_tc_set-{F}(V9,V3), P_tc_set-{F}(V10,V3), P_tc_set-{F}(V11,V3), P_c_Union-{F}(V0,V11,V8), P_c_insert-{F}(V12,V13,V6,V0), V0 == V13 | P_c_Main_OsubsetI__1-{T}(V0,V13,V3,V8)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #356: mergings( V4 == V10, V10 == V16, V16 == V22, V22 == V28, V5 == V11, V11 == V17, V17 == V23, V23 == V29, V34 == V36, V6 == V12, V7 == V13, V8 == V14, V12 == V18, V13 == V19, V14 == V20, V18 == V24, V19 == V25, V20 == V26, V24 == V30, V25 == V31, V26 == V32, V9 == V15, V15 == V21, V21 == V27, V27 == V33; #329 ), references = 1, size of lhs = 13:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V9,V7), c_lessequals-{F}(V10,V11,V7), V10 == V11, P_c_insert-{F}(V12,V11,V8,V13), P_c_insert-{F}(V14,V10,V8,V13) | P_c_Main_OsubsetI__1-{T}(V11,V10,V8,V14)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #382: mergings( V4 == V10, V10 == V16, V16 == V22, V22 == V28, V5 == V11, V11 == V17, V17 == V23, V23 == V29, V34 == V36, V6 == V12, V7 == V13, V8 == V14, V12 == V18, V13 == V19, V14 == V20, V18 == V24, V19 == V25, V20 == V26, V24 == V30, V25 == V31, V26 == V32, V9 == V15, V15 == V21, V21 == V27, V27 == V33; #330 ), references = 1, size of lhs = 17:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V9,V7), P_tc_set-{F}(V10,V7), P_tc_set-{F}(V11,V7), c_in-{F}(V12,V13,V7), P_c_Union-{F}(V13,V11,V14), V14 == V12, c_lessequals-{F}(V12,V14,V7), P_c_insert-{F}(V15,V14,V8,V16), P_c_insert-{F}(V17,V12,V8,V16) | P_c_Main_OsubsetI__1-{T}(V14,V12,V8,V17)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #410: mergings( V4 == V10, V10 == V16, V16 == V22, V5 == V11, V11 == V17, V17 == V23, V28 == V32, V6 == V12, V7 == V13, V8 == V14, V12 == V18, V13 == V19, V14 == V20, V18 == V24, V19 == V25, V20 == V26, V9 == V15, V15 == V21, V21 == V27; #390 ), references = 4, size of lhs = 17:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V9,V7), P_tc_set-{F}(V10,V7), P_tc_set-{F}(V11,V7), P_tc_set-{F}(V12,V7), P_tc_set-{F}(V13,V7), P_c_insert-{F}(V14,V15,V8,V16), V16 == V15, P_c_insert-{F}(V17,V15,V10,V16), P_c_insert-{F}(V18,V15,V12,V16) | P_c_Main_OsubsetI__1-{T}(V16,V15,V10,V17)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #448: mergings( V4 == V10, V10 == V16, V5 == V11, V11 == V17, V23 == V27, V6 == V12, V7 == V13, V8 == V14, V12 == V18, V13 == V19, V14 == V20, V9 == V15, V15 == V21; #434 ), references = 2, size of lhs = 14:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V9,V7), P_tc_set-{F}(V10,V7), P_tc_set-{F}(V11,V7), P_tc_set-{F}(V12,V7), P_tc_set-{F}(V13,V7), c_in-{F}(V14,V15,V13) | P_c_insert-{T}(V14,V15,V13,V15)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #577: mergings( V0 == V11, V11 == V17, V17 == V23, V1 == V12, V12 == V18, V18 == V24, V30 == V8, V2 == V13, V3 == V14, V4 == V15, V13 == V19, V14 == V20, V15 == V21, V19 == V25, V20 == V26, V21 == V27, V5 == V16, V16 == V22, V22 == V28; #556 ), references = 2, size of lhs = 17:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V8,V7), P_tc_set-{F}(V9,V7), P_tc_set-{F}(V7,V10), P_tc_set-{F}(V11,V7), P_c_Union-{F}(V12,V11,V13), P_c_Main_OsubsetI__1-{F}(V12,V14,V7,V15), c_in-{F}(V16,V15,V11), P_c_Main_OsubsetI__1-{F}(V17,V13,V11,V16), V17 == V13, P_c_insert-{F}(V18,V13,V8,V17) | c_lessequals-{T}(V12,V14,V10)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #596: mergings( V0 == V11, V11 == V17, V17 == V23, V1 == V12, V12 == V18, V18 == V24, V2 == V13, V3 == V14, V4 == V15, V13 == V19, V14 == V20, V15 == V21, V19 == V25, V20 == V26, V21 == V27, V5 == V16, V16 == V22, V22 == V28; #557 ), references = 1, size of lhs = 20:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V7), P_tc_set-{F}(V7,V8), P_tc_set-{F}(V9,V7), P_tc_set-{F}(V10,V7), P_tc_set-{F}(V11,V7), P_tc_set-{F}(V12,V7), P_tc_set-{F}(V13,V7), P_c_Union-{F}(V14,V13,V15), P_c_Union-{F}(V14,V12,V15), P_c_Main_OsubsetI__1-{F}(V14,V16,V7,V17), V15 == V17, P_c_Main_OsubsetI__1-{F}(V17,V15,V13,V18), c_in-{F}(V18,V17,V13), P_c_insert-{F}(V19,V15,V9,V17) | c_lessequals-{T}(V14,V16,V8)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #616: mergings( V4 == V10, V10 == V16, V5 == V11, V11 == V17, V21 == V24, V6 == V12, V7 == V13, V8 == V14, V12 == V18, V13 == V19, V14 == V20, V9 == V15; #603 ), references = 1, size of lhs = 18:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_c_Union-{F}(V0,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,V6), P_tc_set-{F}(V8,V6), P_tc_set-{F}(V9,V6), P_tc_set-{F}(V10,V6), P_tc_set-{F}(V11,V6), P_tc_set-{F}(V12,V6), P_tc_set-{F}(V13,V6), P_c_Union-{F}(V0,V13,V14), P_c_insert-{F}(V15,V1,V4,V16), P_c_Main_OsubsetI__1-{F}(V0,V16,V6,V17), c_in-{F}(V18,V17,V13) | P_c_insert-{T}(V18,V14,V13,V14)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #678: mergings( V0 == V6, V1 == V11, V2 == V12, V3 == V13, V4 == V10; #672 ), references = 3, size of lhs = 9:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_c_Union-{F}(V0,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_c_insert-{F}(V7,V1,V4,V8), P_c_Main_OsubsetI__1-{F}(V0,V8,V6,V9) | c_in-{T}(V9,V0,V6)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #700: mergings( V3 == V13, V13 == V0, V4 == V9, V9 == V14, V14 == V19, V12 == V22, V5 == V10, V6 == V11, V7 == V22, V10 == V15, V11 == V16, V22 == V17, V15 == V20, V16 == V21, V8 == V18; #683 ), references = 2, size of lhs = 9:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_c_Union-{F}(V0,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_c_insert-{F}(V7,V1,V4,V0), P_c_insert-{F}(V8,V1,V4,V0) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #797: mergings( V8 == V0, V4 == V9, V9 == V0, V7 == V17, V17 == V24, V5 == V10, V6 == V11, V24 == V12, V10 == V15, V11 == V2, V13 == V14, V14 == V16; #783 ), references = 1, size of lhs = 14:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V0), P_t_b-{F}(V1), P_c_Union-{F}(V0,V1,V2), P_tc_set-{F}(V1,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), P_tc_set-{F}(V10,V4), P_tc_set-{F}(V11,V4), P_c_insert-{F}(V12,V0,V3,V13) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #811: mergings( V6 == V12, V1 == V7, V7 == V12, V5 == V17, V17 == V24, V4 == V8, V2 == V9, V24 == V10, V8 == V14, V9 == V16, V11 == V13, V13 == V15; #798 ), references = 1, size of lhs = 13:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V0), P_t_b-{F}(V1), P_c_Union-{F}(V0,V1,V2), P_tc_set-{F}(V1,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), P_tc_set-{F}(V10,V4), P_tc_set-{F}(V11,V4) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #820: mergings( V3 == V6, V6 == V0, V4 == V7, V5 == V8, V7 == V9, V8 == V10, V10 == V17; #812 ), references = 2, size of lhs = 12:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V0), P_t_b-{F}(V1), P_tc_set-{F}(V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_tc_set-{F}(V6,V3), P_tc_set-{F}(V7,V3), P_tc_set-{F}(V8,V3), P_tc_set-{F}(V9,V3), P_tc_set-{F}(V10,V3) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #823: exists( #12, #820 ), references = 1, size of lhs = 4:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V0), P_t_b-{F}(V1), P_tc_set-{F}(V1,V2) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #825: exists( #12, #821 ), references = 1, size of lhs = 3:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V0), P_t_b-{F}(V1) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #827: exists( #13, #824 ), references = 1, size of lhs = 2:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V0) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #845: mergings( V2 == V6, V6 == V10, V10 == V14, V3 == V7, V7 == V11, V11 == V15, V19 == V26, V4 == V8, V8 == V12, V12 == V16, V5 == V9, V9 == V13, V13 == V17; #831 ), references = 1, size of lhs = 21:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V0,V2,V4), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V7,V6), P_tc_set-{F}(V8,V6), P_tc_set-{F}(V9,V6), P_tc_set-{F}(V10,V6), P_tc_set-{F}(V11,V6), P_tc_set-{F}(V12,V6), P_tc_set-{F}(V13,V6), P_tc_set-{F}(V14,V6), P_tc_set-{F}(V15,V6), P_c_insert-{F}(V16,V17,V12,V18), P_c_insert-{F}(V16,V18,V12,V19), V19 == V18, P_c_insert-{F}(V20,V18,V7,V19), P_c_insert-{F}(V21,V18,V10,V19), P_c_insert-{F}(V22,V18,V14,V19) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #860: mergings( V4 == V9, V9 == V13, V13 == V17, V5 == V10, V10 == V14, V14 == V18, V22 == V26, V6 == V11, V11 == V15, V15 == V19, V8 == V12, V12 == V16, V16 == V20; #846 ), references = 1, size of lhs = 13:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_c_Union-{F}(V0,V2,V4), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V7,V6), P_tc_set-{F}(V8,V6), P_tc_set-{F}(V9,V6), P_tc_set-{F}(V10,V6), P_tc_set-{F}(V11,V6), P_tc_set-{F}(V12,V6), P_c_insert-{F}(V13,V14,V10,V15) | P_c_insert-{T}(V13,V15,V10,V15)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #984: mergings( V0 == V13, V4 == V9, V9 == V14, V7 == V11, V5 == V10, V6 == V2, V10 == V15, V2 == V16, V11 == V17, V8 == V12, V12 == V18; #972 ), references = 2, size of lhs = 11:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Union-{F}(V0,V2,V5), P_tc_set-{F}(V6,V3), P_tc_set-{F}(V7,V3), P_tc_set-{F}(V8,V3), P_c_Union-{F}(V0,V8,V5), P_c_insert-{F}(V9,V1,V3,V10) | P_c_Main_OsubsetI__1-{T}(V0,V10,V3,V5)
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #1007: mergings( V4 == V15, V15 == V21, V5 == V16, V16 == V1, V11 == V23, V6 == V10, V7 == V2, V8 == V23, V10 == V17, V2 == V18, V19 == V23, V17 == V22, V9 == V20, V20 == V0; #992 ), references = 1, size of lhs = 10:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(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_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V5,V8) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #1018: mergings( V2 == V10, V10 == V14, V3 == V11, V11 == V16, V4 == V6, V6 == V12, V12 == V17, V5 == V13, V13 == V15; #1008 ), references = 1, size of lhs = 9:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(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_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #1023: mergings( V3 == V7, V7 == V8, V1 == V9; #1019 ), references = 1, size of lhs = 6:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #1027: mergings( V2 == V3, V3 == V5; #1024 ), references = 1, size of lhs = 3:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_b-{F}(V2) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #1031: mergings( V1 == V2, V2 == V4; #1028 ), references = 1, size of lhs = 2:
% 5.63/5.85 P_v_S-{F}(V0), P_c_emptyset-{F}(V1) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #1033: exists( #11, #1028 ), references = 1, size of lhs = 1:
% 5.63/5.85 P_v_S-{F}(V0) | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 #1035: exists( #9, #1032 ), references = 1, size of lhs = 0:
% 5.63/5.85 FALSE | FALSE
% 5.63/5.85 (used 0 times, uses = {})
% 5.63/5.85
% 5.63/5.85 number of learnt formulas = 32
% 5.63/5.85
% 5.63/5.85
% 5.63/5.85 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.63/5.85
% 5.63/5.85 randbase = 1
%------------------------------------------------------------------------------