TSTP Solution File: COL112-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COL112-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 05:59:12 EDT 2022
% Result : Unsatisfiable 0.62s 0.80s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL112-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 : Fri Jul 22 07:54:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.62/0.80 GeoParameters:
% 0.62/0.80
% 0.62/0.80 tptp_input = 1
% 0.62/0.80 tptp_output = 0
% 0.62/0.80 nonempty = 1
% 0.62/0.80 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.80 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.62/0.80
% 0.62/0.80
% 0.62/0.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.80
% 0.62/0.80 RuleSystem INPUT:
% 0.62/0.80
% 0.62/0.80 Initial Rules:
% 0.62/0.80 #0: input, references = 6, size of lhs = 12:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_tc_Comb_Ocomb-{F}(V5), P_c_Comb_Oparcontract-{F}(V6), P_tc_prod-{F}(V5,V5,V7), P_c_Pair-{F}(V4,V8,V5,V5,V9), P_c_Pair-{F}(V1,V8,V5,V5,V10), c_in-{F}(V9,V6,V7), c_in-{F}(V10,V6,V7) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #1: input, references = 4, size of lhs = 9:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_tc_Comb_Ocomb-{F}(V5), P_c_Comb_Oparcontract-{F}(V6), P_tc_prod-{F}(V5,V5,V7), P_c_Pair-{F}(V8,V8,V5,V5,V9) | c_in-{T}(V9,V6,V7)
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #2: input, references = 7, size of lhs = 11:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_tc_Comb_Ocomb-{F}(V5), P_c_Comb_Oparcontract-{F}(V6), P_tc_prod-{F}(V5,V5,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V8,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V9,V11), P_c_Pair-{F}(V11,V8,V5,V5,V12) | c_in-{T}(V12,V6,V7)
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #3: input, references = 8, size of lhs = 4:
% 0.62/0.80 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #4: input, references = 6, size of lhs = 2:
% 0.62/0.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Comb_Ocomb_Oop_A_D_D-{T}(V0,V1,V2)
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #5: input, references = 4, size of lhs = 0:
% 0.62/0.80 FALSE | EXISTS V0: P_c_Comb_Ocomb_OK-{T}(V0)
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #6: input, references = 4, size of lhs = 0:
% 0.62/0.80 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #7: input, references = 4, size of lhs = 0:
% 0.62/0.80 FALSE | EXISTS V0: P_v_ya-{T}(V0)
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #8: input, references = 4, size of lhs = 0:
% 0.62/0.80 FALSE | EXISTS V0: P_tc_Comb_Ocomb-{T}(V0)
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #9: input, references = 4, size of lhs = 0:
% 0.62/0.80 FALSE | EXISTS V0: P_c_Comb_Oparcontract-{T}(V0)
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #10: input, references = 5, size of lhs = 2:
% 0.62/0.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 number of initial rules = 11
% 0.62/0.80
% 0.62/0.80 Simplifiers:
% 0.62/0.80 #11: unsound, references = 3, size of lhs = 3:
% 0.62/0.80 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #12: unsound, references = 3, size of lhs = 3:
% 0.62/0.80 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #13: unsound, references = 3, size of lhs = 3:
% 0.62/0.80 P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #14: unsound, references = 3, size of lhs = 3:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_c_Comb_Ocomb_OK-{F}(V1), V0 == V1 | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #15: unsound, references = 3, size of lhs = 3:
% 0.62/0.80 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #16: unsound, references = 3, size of lhs = 3:
% 0.62/0.80 P_v_ya-{F}(V0), P_v_ya-{F}(V1), V0 == V1 | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #17: unsound, references = 3, size of lhs = 3:
% 0.62/0.80 P_tc_Comb_Ocomb-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), V0 == V1 | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #18: unsound, references = 3, size of lhs = 3:
% 0.62/0.80 P_c_Comb_Oparcontract-{F}(V0), P_c_Comb_Oparcontract-{F}(V1), V0 == V1 | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #19: unsound, references = 3, size of lhs = 3:
% 0.62/0.80 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 number of simplifiers = 9
% 0.62/0.80
% 0.62/0.80 Learnt:
% 0.62/0.80 #27: mergings( V4 == V10, V5 == V0, V6 == V11, V7 == V12, V8 == V0; #21 ), references = 1, size of lhs = 10:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V1), P_tc_Comb_Ocomb-{F}(V4), P_tc_prod-{F}(V4,V4,V5), P_c_Comb_Oparcontract-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V7,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V8,V9,V1) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #34: mergings( V2 == V7, V3 == V8, V4 == V9, V5 == V10, V6 == V8; #28 ), references = 1, size of lhs = 9:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V1), P_tc_Comb_Ocomb-{F}(V4), P_c_Comb_Oparcontract-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V7,V8,V1) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #42: mergings( V4 == V10, V5 == V0, V6 == V11, V7 == V12, V8 == V13; #36 ), references = 2, size of lhs = 12:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_tc_Comb_Ocomb-{F}(V5), P_tc_prod-{F}(V5,V5,V6), P_c_Comb_Oparcontract-{F}(V7), c_in-{F}(V8,V7,V6), P_c_Pair-{F}(V4,V9,V5,V5,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V9,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V1) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #54: mergings( V4 == V10, V15 == V17, V5 == V11, V6 == V12, V7 == V13, V8 == V0; #46 ), references = 1, size of lhs = 11:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_tc_Comb_Ocomb-{F}(V5), P_tc_prod-{F}(V5,V5,V6), P_c_Comb_Oparcontract-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V8,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V10,V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V11,V1) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #59: mergings( V3 == V5, V0 == V11, V4 == V6; #55 ), references = 1, size of lhs = 9:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_tc_Comb_Ocomb-{F}(V4), P_tc_prod-{F}(V4,V4,V5), P_c_Comb_Oparcontract-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V7,V2), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V8,V1) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #67: mergings( V3 == V9, V4 == V0, V5 == V10, V6 == V11, V7 == V12; #61 ), references = 1, size of lhs = 10:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_tc_Comb_Ocomb-{F}(V5), P_tc_prod-{F}(V5,V5,V6), P_c_Comb_Oparcontract-{F}(V7), P_c_Pair-{F}(V4,V1,V5,V5,V8), c_in-{F}(V8,V7,V6) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #81: mergings( V4 == V10, V10 == V15, V16 == V19, V5 == V11, V6 == V12, V11 == V1, V12 == V19, V7 == V13, V8 == V14, V13 == V17, V14 == V0; #69 ), references = 1, size of lhs = 9:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2), P_tc_Comb_Ocomb-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_c_Comb_Oparcontract-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V6,V2,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V6,V8,V7) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #87: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #82 ), references = 1, size of lhs = 7:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_tc_Comb_Ocomb-{F}(V4), P_tc_prod-{F}(V4,V4,V5), P_c_Comb_Oparcontract-{F}(V6) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #93: mergings( V2 == V5, V5 == V7, V3 == V6, V6 == V8; #88 ), references = 1, size of lhs = 6:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_tc_Comb_Ocomb-{F}(V4), P_c_Comb_Oparcontract-{F}(V5) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #95: exists( #4, #88 ), references = 1, size of lhs = 5:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2), P_tc_Comb_Ocomb-{F}(V3), P_c_Comb_Oparcontract-{F}(V4) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #97: exists( #9, #94 ), references = 1, size of lhs = 4:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2), P_tc_Comb_Ocomb-{F}(V3) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #99: exists( #8, #96 ), references = 1, size of lhs = 3:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #101: exists( #7, #98 ), references = 1, size of lhs = 2:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0), P_v_x-{F}(V1) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #103: exists( #6, #100 ), references = 1, size of lhs = 1:
% 0.62/0.80 P_c_Comb_Ocomb_OK-{F}(V0) | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 #105: exists( #5, #102 ), references = 1, size of lhs = 0:
% 0.62/0.80 FALSE | FALSE
% 0.62/0.80 (used 0 times, uses = {})
% 0.62/0.80
% 0.62/0.80 number of learnt formulas = 15
% 0.62/0.80
% 0.62/0.80
% 0.62/0.80 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.80
% 0.62/0.80 randbase = 1
%------------------------------------------------------------------------------