TSTP Solution File: SET839-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 02:12:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42 GeoParameters:
% 0.18/0.42
% 0.18/0.42 tptp_input = 1
% 0.18/0.42 tptp_output = 0
% 0.18/0.42 nonempty = 1
% 0.18/0.42 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42
% 0.18/0.42 RuleSystem INPUT:
% 0.18/0.42
% 0.18/0.42 Initial Rules:
% 0.18/0.42 #0: input, references = 5, size of lhs = 7:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{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
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #1: input, references = 5, size of lhs = 7:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), c_in-{F}(V5,V0,V3), c_in-{F}(V6,V0,V3) | c_lessequals-{T}(V6,V5,V3)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #2: input, references = 4, size of lhs = 6:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_insert-{F}(V5,V6,V7,V8) | c_in-{T}(V5,V8,V7)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #3: input, references = 5, size of lhs = 7:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Main_OsubsetI__1-{F}(V7,V5,V6,V8), P_tc_set-{F}(V6,V9) | c_in-{T}(V8,V7,V6), c_lessequals-{T}(V7,V5,V9)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #4: input, references = 5, size of lhs = 8:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_c_Main_OsubsetI__1-{F}(V7,V5,V6,V8), P_tc_set-{F}(V6,V9), c_in-{F}(V8,V5,V6) | c_lessequals-{T}(V7,V5,V9)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #5: input, references = 4, size of lhs = 9:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V7,V8), c_lessequals-{F}(V5,V6,V8), c_lessequals-{F}(V6,V5,V8), V6 == V5 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #6: input, references = 4, size of lhs = 0:
% 0.18/0.42 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #7: input, references = 5, size of lhs = 3:
% 0.18/0.42 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #8: input, references = 4, size of lhs = 0:
% 0.18/0.42 FALSE | EXISTS V0: P_c_emptyset-{T}(V0)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #9: input, references = 5, size of lhs = 1:
% 0.18/0.42 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #10: input, references = 4, size of lhs = 0:
% 0.18/0.42 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #11: input, references = 6, size of lhs = 3:
% 0.18/0.42 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Main_OsubsetI__1-{T}(V0,V1,V2,V3)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 number of initial rules = 12
% 0.18/0.42
% 0.18/0.42 Simplifiers:
% 0.18/0.42 #12: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #13: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #14: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_emptyset-{F}(V0), P_c_emptyset-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #15: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #16: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #17: unsound, references = 3, size of lhs = 3:
% 0.18/0.42 P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 number of simplifiers = 6
% 0.18/0.42
% 0.18/0.42 Learnt:
% 0.18/0.42 #25: mergings( V0 == V10, V1 == V11, V2 == V12, V3 == V13, V4 == V14; #19 ), references = 1, size of lhs = 10:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V6), P_tc_set-{F}(V7,V6), c_lessequals-{F}(V8,V9,V6), V9 == V8, P_c_Main_OsubsetI__1-{F}(V9,V8,V5,V10) | c_in-{T}(V10,V9,V5)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #32: mergings( V0 == V5, V1 == V10, V2 == V11, V3 == V12, V4 == V9; #26 ), references = 3, size of lhs = 8:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_c_insert-{F}(V6,V1,V3,V7), P_c_Main_OsubsetI__1-{F}(V0,V7,V5,V8) | c_in-{T}(V8,V0,V5)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #50: mergings( V3 == V12, V12 == V0, V4 == V8, V8 == V13, V13 == V17, V11 == V20, V5 == V9, V6 == V10, V7 == V20, V9 == V14, V10 == V15, V20 == V16, V14 == V18, V15 == V19; #35 ), references = 1, size of lhs = 8:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_c_insert-{F}(V6,V1,V3,V0), P_c_insert-{F}(V7,V1,V3,V0) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #67: mergings( V0 == V15, V4 == V8, V8 == V12, V12 == V16, V7 == V10, V10 == V14, V5 == V9, V6 == V2, V9 == V13, V13 == V17, V2 == V18, V14 == V19; #54 ), references = 2, size of lhs = 8:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), c_in-{F}(V4,V0,V3), P_tc_set-{F}(V3,V5), P_tc_set-{F}(V6,V3), P_c_insert-{F}(V7,V1,V3,V8) | P_c_Main_OsubsetI__1-{T}(V0,V8,V3,V4)
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #86: mergings( V4 == V12, V12 == V17, V5 == V13, V13 == V1, V10 == V19, V6 == V9, V7 == V2, V8 == V19, V9 == V14, V2 == V15, V16 == V19, V14 == V18; #73 ), references = 2, size of lhs = 7:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), c_in-{F}(V5,V0,V3), P_tc_set-{F}(V3,V6) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #95: mergings( V4 == V8, V7 == V11, V5 == V9, V6 == V2; #90 ), references = 1, size of lhs = 7:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V3,V5), P_c_insert-{F}(V6,V1,V3,V7) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #101: mergings( V1 == V7, V5 == V11, V4 == V8, V2 == V9; #96 ), references = 2, size of lhs = 6:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V3,V5) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #103: exists( #9, #101 ), references = 1, size of lhs = 5:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #105: exists( #9, #102 ), references = 1, size of lhs = 3:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #107: exists( #10, #104 ), references = 1, size of lhs = 2:
% 0.18/0.42 P_v_S-{F}(V0), P_c_emptyset-{F}(V1) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #109: exists( #8, #106 ), references = 1, size of lhs = 1:
% 0.18/0.42 P_v_S-{F}(V0) | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 #111: exists( #6, #108 ), references = 1, size of lhs = 0:
% 0.18/0.42 FALSE | FALSE
% 0.18/0.42 (used 0 times, uses = {})
% 0.18/0.42
% 0.18/0.42 number of learnt formulas = 12
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42
% 0.18/0.42 randbase = 1
%------------------------------------------------------------------------------