TSTP Solution File: SET851-2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET851-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 0.18s 0.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET851-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 02:04:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.56 GeoParameters:
% 0.18/0.56
% 0.18/0.56 tptp_input = 1
% 0.18/0.56 tptp_output = 0
% 0.18/0.56 nonempty = 1
% 0.18/0.56 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.56 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.56
% 0.18/0.56
% 0.18/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.56 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.56
% 0.18/0.56 RuleSystem INPUT:
% 0.18/0.56
% 0.18/0.56 Initial Rules:
% 0.18/0.56 #0: input, references = 4, size of lhs = 2:
% 0.18/0.56 #-{F} V0, P_tc_set-{F}(V1,V2) | c_lessequals-{T}(V0,V0,V2)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #1: input, references = 4, size of lhs = 4:
% 0.18/0.56 P_tc_set-{F}(V0,V3), P_tc_set-{F}(V3,V4), c_lessequals-{F}(V1,V2,V4), P_c_Zorn_Osucc-{F}(V5,V2,V0,V6) | c_lessequals-{T}(V1,V6,V4)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #2: input, references = 4, size of lhs = 6:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5) | c_in-{T}(V0,V3,V5)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #3: input, references = 5, size of lhs = 9:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_Osucc-{F}(V1,V0,V2,V6), P_v_m-{F}(V7), c_lessequals-{F}(V6,V7,V5) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #4: input, references = 5, size of lhs = 10:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_Osucc-{F}(V1,V0,V2,V6), P_v_m-{F}(V7), P_c_Zorn_Osucc-{F}(V1,V7,V2,V8), c_lessequals-{F}(V8,V6,V5) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #5: input, references = 5, size of lhs = 9:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_Osucc-{F}(V1,V0,V2,V6), P_v_m-{F}(V7), P_c_Zorn_Osucc-{F}(V1,V7,V2,V8) | c_lessequals-{T}(V8,V0,V5), c_lessequals-{T}(V0,V7,V5)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #6: input, references = 4, size of lhs = 13:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_Osucc-{F}(V1,V0,V2,V6), P_v_m-{F}(V7), P_c_Zorn_Osucc-{F}(V1,V7,V2,V8), P_c_Zorn_Osucc-{F}(V1,V9,V2,V10), c_lessequals-{F}(V9,V7,V5), c_in-{F}(V9,V3,V5), V9 == V7 | c_lessequals-{T}(V10,V7,V5)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #7: input, references = 7, size of lhs = 1:
% 0.18/0.56 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #8: input, references = 9, size of lhs = 3:
% 0.18/0.56 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Zorn_Osucc-{T}(V0,V1,V2,V3)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #9: input, references = 4, size of lhs = 0:
% 0.18/0.56 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #10: input, references = 5, size of lhs = 2:
% 0.18/0.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Zorn_OTFin-{T}(V0,V1,V2)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #11: input, references = 4, size of lhs = 0:
% 0.18/0.56 FALSE | EXISTS V0: P_v_S-{T}(V0)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #12: input, references = 4, size of lhs = 0:
% 0.18/0.56 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #13: input, references = 4, size of lhs = 0:
% 0.18/0.56 FALSE | EXISTS V0: P_v_m-{T}(V0)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 number of initial rules = 14
% 0.18/0.56
% 0.18/0.56 Simplifiers:
% 0.18/0.56 #14: unsound, references = 3, size of lhs = 3:
% 0.18/0.56 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #15: unsound, references = 3, size of lhs = 3:
% 0.18/0.56 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #16: unsound, references = 3, size of lhs = 3:
% 0.18/0.56 P_c_Zorn_Osucc-{F}(V0,V1,V2,V3), P_c_Zorn_Osucc-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #17: unsound, references = 3, size of lhs = 3:
% 0.18/0.56 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #18: unsound, references = 3, size of lhs = 3:
% 0.18/0.56 P_c_Zorn_OTFin-{F}(V0,V1,V2), P_c_Zorn_OTFin-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #19: unsound, references = 3, size of lhs = 3:
% 0.18/0.56 P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.56 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.56 P_v_m-{F}(V0), P_v_m-{F}(V1), V0 == V1 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 number of simplifiers = 8
% 0.18/0.56
% 0.18/0.56 Learnt:
% 0.18/0.56 #24: exists( #8, #22 ), references = 1, size of lhs = 8:
% 0.18/0.56 P_v_x-{F}(V0), P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #26: exists( #10, #23 ), references = 2, size of lhs = 7:
% 0.18/0.56 P_v_x-{F}(V0), P_v_m-{F}(V0), P_v_S-{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) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #28: exists( #7, #26 ), references = 1, size of lhs = 5:
% 0.18/0.56 P_v_x-{F}(V0), P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #30: exists( #7, #27 ), references = 2, size of lhs = 4:
% 0.18/0.56 P_v_x-{F}(V0), P_v_m-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #39: mergings( V4 == V11, V0 == V12, V2 == V13, V6 == V15, V8 == V10, V5 == V14; #32 ), references = 3, size of lhs = 12:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Osucc-{F}(V1,V0,V2,V3), P_c_Zorn_Osucc-{F}(V1,V4,V2,V3), P_c_Zorn_OTFin-{F}(V1,V2,V5), c_in-{F}(V4,V5,V6), P_tc_set-{F}(V2,V7), P_tc_set-{F}(V7,V6), P_v_m-{F}(V8), V4 == V8, c_lessequals-{F}(V4,V8,V6) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #43: mergings( V5 == V8, V4 == V7; #40 ), references = 3, size of lhs = 10:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), c_in-{F}(V0,V3,V4), P_tc_set-{F}(V2,V5), P_tc_set-{F}(V5,V4), P_v_m-{F}(V6), V0 == V6, c_lessequals-{F}(V0,V6,V4) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #53: mergings( V0 == V9, V1 == V10, V2 == V11, V4 == V13, V6 == V9, V3 == V12, V7 == V14; #45 ), references = 1, size of lhs = 9:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Osucc-{F}(V1,V0,V2,V0), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_m-{F}(V6), P_c_Zorn_Osucc-{F}(V1,V6,V2,V7) | c_lessequals-{T}(V0,V6,V5)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #69: mergings( V6 == V11, V4 == V9, V9 == V8, V8 == V12, V5 == V10, V0 == V13, V2 == V14, V11 == V16, V10 == V15; #57 ), references = 1, size of lhs = 8:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Osucc-{F}(V1,V0,V2,V0), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_v_m-{F}(V6) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #78: mergings( V5 == V11, V7 == V8, V8 == V9, V4 == V10, V0 == V12, V2 == V13, V11 == V15, V10 == V14; #58 ), references = 1, size of lhs = 10:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Osucc-{F}(V1,V0,V2,V0), P_c_Zorn_OTFin-{F}(V1,V2,V3), c_in-{F}(V0,V3,V4), P_tc_set-{F}(V2,V5), P_tc_set-{F}(V5,V4), P_v_m-{F}(V6), V0 == V6 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #89: mergings( V6 == V11, V4 == V9, V9 == V8, V8 == V12, V5 == V10, V0 == V13, V2 == V14, V11 == V17, V12 == V15, V10 == V16; #59 ), references = 1, size of lhs = 10:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Osucc-{F}(V1,V0,V2,V0), P_c_Zorn_OTFin-{F}(V1,V2,V3), c_in-{F}(V0,V3,V4), P_tc_set-{F}(V2,V5), P_tc_set-{F}(V5,V4), P_v_m-{F}(V6), V0 == V6 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #99: mergings( V0 == V9, V1 == V10, V2 == V11, V4 == V13, V6 == V14, V3 == V12, V7 == V15; #91 ), references = 1, size of lhs = 12:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5), P_c_Zorn_Osucc-{F}(V1,V0,V2,V6), P_v_m-{F}(V7), P_c_Zorn_Osucc-{F}(V1,V7,V2,V8), P_tc_set-{F}(V9,V5), P_tc_set-{F}(V10,V9), P_c_Zorn_Osucc-{F}(V11,V0,V10,V6) | c_lessequals-{T}(V0,V7,V5)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #112: mergings( V5 == V9, V7 == V11, V10 == V12, V4 == V8, V0 == V13, V2 == V14, V9 == V16, V8 == V15; #102 ), references = 1, size of lhs = 13:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Osucc-{F}(V1,V0,V2,V3), P_c_Zorn_OTFin-{F}(V1,V2,V4), c_in-{F}(V0,V4,V5), P_tc_set-{F}(V2,V6), P_tc_set-{F}(V6,V5), P_v_m-{F}(V7), V0 == V7, P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), P_c_Zorn_Osucc-{F}(V10,V0,V9,V3) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #123: mergings( V6 == V11, V4 == V9, V8 == V12, V9 == V13, V5 == V10, V0 == V14, V2 == V15, V11 == V18, V12 == V16, V10 == V17; #103 ), references = 1, size of lhs = 13:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_Osucc-{F}(V1,V0,V2,V3), P_c_Zorn_OTFin-{F}(V1,V2,V4), c_in-{F}(V0,V4,V5), P_tc_set-{F}(V2,V6), P_tc_set-{F}(V6,V5), P_v_m-{F}(V7), V0 == V7, P_tc_set-{F}(V8,V5), P_tc_set-{F}(V9,V8), P_c_Zorn_Osucc-{F}(V10,V0,V9,V3) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #131: mergings( V5 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9; #125 ), references = 1, size of lhs = 9:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), c_in-{F}(V0,V3,V4), P_v_m-{F}(V5), V0 == V5, P_tc_set-{F}(V2,V6), P_tc_set-{F}(V6,V4) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #139: mergings( V5 == V8, V8 == V14, V4 == V7, V0 == V9, V2 == V10, V12 == V14, V7 == V11; #124 ), references = 1, size of lhs = 9:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_c_Zorn_OTFin-{F}(V1,V2,V3), c_in-{F}(V0,V3,V4), P_v_m-{F}(V5), V0 == V5, P_tc_set-{F}(V2,V6), P_tc_set-{F}(V6,V4) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #148: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V10; #142 ), references = 2, size of lhs = 7:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_m-{F}(V3), V0 == V3, P_tc_set-{F}(V2,V4), P_tc_set-{F}(V4,V5) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #150: exists( #7, #148 ), references = 1, size of lhs = 6:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_m-{F}(V3), V0 == V3, P_tc_set-{F}(V2,V4) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #152: exists( #7, #149 ), references = 1, size of lhs = 5:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2), P_v_m-{F}(V3), V0 == V3 | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #154: exists( #13, #151 ), references = 1, size of lhs = 3:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1), P_t_a-{F}(V2) | P_v_m-{T}(V0)
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #158: mergings( V1 == V3; #156 ), references = 1, size of lhs = 2:
% 0.18/0.56 P_v_x-{F}(V0), P_v_S-{F}(V1) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #160: exists( #11, #156 ), references = 1, size of lhs = 1:
% 0.18/0.56 P_v_x-{F}(V0) | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 #162: exists( #9, #159 ), references = 1, size of lhs = 0:
% 0.18/0.56 FALSE | FALSE
% 0.18/0.56 (used 0 times, uses = {})
% 0.18/0.56
% 0.18/0.56 number of learnt formulas = 22
% 0.18/0.56
% 0.18/0.56
% 0.18/0.56 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.56
% 0.18/0.56 randbase = 1
%------------------------------------------------------------------------------