TSTP Solution File: SWV251-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV251-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:21:15 EDT 2022
% Result : Unsatisfiable 2.31s 2.50s
% Output : Refutation 2.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV251-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 15:14:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.31/2.50 GeoParameters:
% 2.31/2.50
% 2.31/2.50 tptp_input = 1
% 2.31/2.50 tptp_output = 0
% 2.31/2.50 nonempty = 1
% 2.31/2.50 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.31/2.50 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.31/2.50
% 2.31/2.50
% 2.31/2.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.31/2.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.31/2.50
% 2.31/2.50 RuleSystem INPUT:
% 2.31/2.50
% 2.31/2.50 Initial Rules:
% 2.31/2.50 #0: input, references = 6, size of lhs = 5:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_c_Message_Oanalz-{F}(V2,V4), P_c_Message_Oanalz-{F}(V3,V5), c_lessequals-{F}(V2,V3,V1) | c_lessequals-{T}(V4,V5,V1)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #1: input, references = 5, size of lhs = 7:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V4,V5), P_c_minus-{F}(V2,V3,V5,V6), P_c_union-{F}(V6,V3,V4,V7), P_c_union-{F}(V2,V3,V4,V8), V7 == V8 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #2: input, references = 4, size of lhs = 7:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V4,V5), P_c_minus-{F}(V2,V3,V5,V6), P_c_union-{F}(V3,V6,V4,V7), P_c_union-{F}(V3,V2,V4,V8), V7 == V8 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #3: input, references = 10, size of lhs = 5:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V3,V5), P_c_union-{F}(V2,V6,V3,V7), c_lessequals-{F}(V7,V4,V5) | c_lessequals-{T}(V2,V4,V5)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #4: input, references = 7, size of lhs = 5:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V3,V5), P_c_union-{F}(V6,V2,V3,V7), c_lessequals-{F}(V7,V4,V5) | c_lessequals-{T}(V2,V4,V5)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #5: input, references = 7, size of lhs = 6:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V3,V5), c_lessequals-{F}(V2,V4,V5), P_c_union-{F}(V2,V6,V3,V7), c_lessequals-{F}(V6,V4,V5) | c_lessequals-{T}(V7,V4,V5)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #6: input, references = 4, size of lhs = 8:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V3,V5), c_in-{F}(V4,V2,V3), P_c_insert-{F}(V4,V6,V3,V7), P_c_minus-{F}(V7,V2,V5,V8), P_c_minus-{F}(V6,V2,V5,V9), V8 == V9 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #7: input, references = 6, size of lhs = 5:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V3,V5), c_in-{F}(V4,V2,V3), c_lessequals-{F}(V2,V6,V5) | c_in-{T}(V4,V6,V3)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #8: input, references = 6, size of lhs = 6:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V4,V5), c_lessequals-{F}(V2,V3,V5), c_lessequals-{F}(V3,V2,V5), V3 == V2 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #9: input, references = 8, size of lhs = 4:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), #-{F} V2, P_tc_set-{F}(V3,V4) | c_lessequals-{T}(V2,V2,V4)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #10: input, references = 5, size of lhs = 6:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_X-{F}(V2), P_v_G-{F}(V3), P_c_Message_Oanalz-{F}(V3,V4), P_c_Message_Osynth-{F}(V4,V5) | c_in-{T}(V2,V5,V0)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #11: input, references = 6, size of lhs = 10:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_X-{F}(V2), P_v_G-{F}(V3), P_c_Message_Oanalz-{F}(V3,V4), P_c_Message_Osynth-{F}(V4,V5), P_v_x-{F}(V6), P_v_H-{F}(V7), P_c_insert-{F}(V2,V7,V0,V8), P_c_Message_Oanalz-{F}(V8,V9) | c_in-{T}(V6,V9,V0)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #12: input, references = 5, size of lhs = 13:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_X-{F}(V2), P_v_G-{F}(V3), P_c_Message_Oanalz-{F}(V3,V4), P_c_Message_Osynth-{F}(V4,V5), P_v_x-{F}(V6), P_v_H-{F}(V7), P_c_insert-{F}(V2,V7,V0,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V5,V7,V0,V10), P_c_Message_Oanalz-{F}(V10,V11), c_in-{F}(V6,V11,V0) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #13: input, references = 4, size of lhs = 1:
% 2.31/2.50 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #14: input, references = 4, size of lhs = 0:
% 2.31/2.50 FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #15: input, references = 7, size of lhs = 1:
% 2.31/2.50 #-{F} V0 | EXISTS V1: P_c_Message_Oanalz-{T}(V0,V1)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #16: input, references = 10, size of lhs = 3:
% 2.31/2.50 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_union-{T}(V0,V1,V2,V3)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #17: input, references = 5, size of lhs = 3:
% 2.31/2.50 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #18: input, references = 5, size of lhs = 3:
% 2.31/2.50 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #19: input, references = 4, size of lhs = 0:
% 2.31/2.50 FALSE | EXISTS V0: P_v_X-{T}(V0)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #20: input, references = 4, size of lhs = 1:
% 2.31/2.50 #-{F} V0 | EXISTS V1: P_c_Message_Osynth-{T}(V0,V1)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #21: input, references = 4, size of lhs = 0:
% 2.31/2.50 FALSE | EXISTS V0: P_v_G-{T}(V0)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #22: input, references = 4, size of lhs = 0:
% 2.31/2.50 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #23: input, references = 4, size of lhs = 0:
% 2.31/2.50 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 number of initial rules = 24
% 2.31/2.50
% 2.31/2.50 Simplifiers:
% 2.31/2.50 #24: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #25: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #26: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #27: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_c_Message_Oanalz-{F}(V0,V1), P_c_Message_Oanalz-{F}(V0,V3), V1 == V3 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #28: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_c_union-{F}(V0,V1,V2,V3), P_c_union-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #29: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #30: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #31: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_v_X-{F}(V0), P_v_X-{F}(V1), V0 == V1 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #32: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_c_Message_Osynth-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V3), V1 == V3 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #33: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_v_G-{F}(V0), P_v_G-{F}(V1), V0 == V1 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #34: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #35: unsound, references = 3, size of lhs = 3:
% 2.31/2.50 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 number of simplifiers = 12
% 2.31/2.50
% 2.31/2.50 Learnt:
% 2.31/2.50 #48: mergings( V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11; #41 ), references = 1, size of lhs = 7:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), c_lessequals-{F}(V6,V6,V3), c_lessequals-{F}(V7,V6,V3) | P_c_union-{T}(V6,V7,V4,V6)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #50: exists( #16, #2 ), references = 1, size of lhs = 5:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V3), P_c_minus-{F}(V4,V5,V3,V6), P_c_union-{F}(V5,V4,V2,V7) | P_c_union-{T}(V5,V6,V2,V7)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #52: exists( #16, #1 ), references = 4, size of lhs = 5:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V3), P_c_minus-{F}(V4,V5,V3,V6), P_c_union-{F}(V4,V5,V2,V7) | P_c_union-{T}(V6,V5,V2,V7)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #54: exists( #15, #12 ), references = 2, size of lhs = 12:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_X-{F}(V2), P_v_G-{F}(V3), P_c_Message_Oanalz-{F}(V3,V4), P_c_Message_Osynth-{F}(V4,V5), P_v_x-{F}(V6), P_v_H-{F}(V7), P_c_insert-{F}(V2,V7,V0,V8), P_c_union-{F}(V5,V7,V0,V9), P_c_Message_Oanalz-{F}(V9,V10), c_in-{F}(V6,V10,V0) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #56: exists( #18, #53 ), references = 2, size of lhs = 11:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_v_X-{F}(V2), P_v_G-{F}(V3), P_c_Message_Oanalz-{F}(V3,V4), P_c_Message_Osynth-{F}(V4,V5), P_v_x-{F}(V6), P_v_H-{F}(V7), P_c_union-{F}(V5,V7,V0,V8), P_c_Message_Oanalz-{F}(V8,V9), c_in-{F}(V6,V9,V0) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #59: exists( #16, #1 ), references = 4, size of lhs = 5:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V3), P_c_minus-{F}(V4,V5,V3,V6), P_c_union-{F}(V6,V5,V2,V7) | P_c_union-{T}(V4,V5,V2,V7)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #82: mergings( V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11; #75 ), references = 1, size of lhs = 7:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), c_lessequals-{F}(V6,V6,V3), c_lessequals-{F}(V7,V6,V3) | P_c_union-{T}(V7,V6,V4,V6)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #127: mergings( V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14, V13 == V15; #116 ), references = 3, size of lhs = 9:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_tc_set-{F}(V6,V3), c_lessequals-{F}(V7,V8,V3), c_lessequals-{F}(V9,V8,V3), P_c_union-{F}(V9,V7,V5,V8) | P_c_union-{T}(V7,V9,V4,V8)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #135: exists( #17, #6 ), references = 4, size of lhs = 6:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V3), c_in-{F}(V4,V5,V2), P_c_insert-{F}(V4,V6,V2,V7), P_c_minus-{F}(V6,V5,V3,V8) | P_c_minus-{T}(V7,V5,V3,V8)
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #198: mergings( V17 == V28, V13 == V2, V18 == V2, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V2, V12 == V15, V2 == V16, V15 == V28; #181 ), references = 1, size of lhs = 18:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_v_X-{F}(V1), P_v_G-{F}(V2), P_c_Message_Oanalz-{F}(V2,V3), P_c_Message_Osynth-{F}(V3,V4), P_v_x-{F}(V5), P_v_H-{F}(V6), P_c_union-{F}(V4,V6,V0,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Oanalz-{F}(V9,V8), P_tc_set-{F}(V0,V10), P_tc_set-{F}(V11,V10), c_lessequals-{F}(V12,V9,V10), c_in-{F}(V5,V13,V0), P_c_Message_Oanalz-{F}(V14,V13), P_c_union-{F}(V15,V16,V11,V12), c_in-{F}(V17,V16,V0), P_c_insert-{F}(V17,V15,V0,V14) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #213: mergings( V17 == V29, V13 == V2, V18 == V2, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V2, V12 == V15, V2 == V16, V15 == V29; #182 ), references = 1, size of lhs = 19:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_v_X-{F}(V1), P_v_G-{F}(V2), P_c_Message_Oanalz-{F}(V2,V3), P_c_Message_Osynth-{F}(V3,V4), P_v_x-{F}(V5), P_v_H-{F}(V6), P_c_insert-{F}(V1,V6,V0,V7), P_c_union-{F}(V4,V6,V0,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Oanalz-{F}(V10,V9), P_tc_set-{F}(V0,V11), P_tc_set-{F}(V12,V11), c_lessequals-{F}(V13,V10,V11), c_in-{F}(V5,V14,V0), P_c_Message_Oanalz-{F}(V15,V14), P_c_union-{F}(V16,V17,V12,V13), c_in-{F}(V18,V17,V0), P_c_insert-{F}(V18,V16,V0,V15) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #228: mergings( V17 == V30, V13 == V2, V18 == V2, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V2, V12 == V15, V2 == V16, V15 == V30; #183 ), references = 1, size of lhs = 20:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_v_X-{F}(V1), P_v_G-{F}(V2), P_c_Message_Oanalz-{F}(V2,V3), P_c_Message_Osynth-{F}(V3,V4), P_v_x-{F}(V5), P_v_H-{F}(V6), P_c_insert-{F}(V1,V6,V0,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_union-{F}(V4,V6,V0,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V11,V10), P_tc_set-{F}(V0,V12), P_tc_set-{F}(V13,V12), c_lessequals-{F}(V14,V11,V12), c_in-{F}(V5,V15,V0), P_c_Message_Oanalz-{F}(V16,V15), P_c_union-{F}(V17,V18,V13,V14), c_in-{F}(V19,V18,V0), P_c_insert-{F}(V19,V17,V0,V16) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #254: mergings( V16 == V18, V18 == V22, V22 == V23, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14, V13 == V15, V14 == V23, V15 == V19, V23 == V20, V19 == V21, V2 == V24, V3 == V25, V4 == V26, V5 == V27, V6 == V29; #232 ), references = 1, size of lhs = 18:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_v_X-{F}(V3), P_v_G-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_Message_Osynth-{F}(V5,V6), P_v_x-{F}(V7), P_v_H-{F}(V8), P_c_insert-{F}(V3,V8,V0,V9), P_c_union-{F}(V6,V8,V0,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_Message_Oanalz-{F}(V12,V11), P_tc_set-{F}(V13,V1), c_lessequals-{F}(V14,V12,V1), P_c_union-{F}(V15,V16,V2,V14), c_in-{F}(V17,V16,V13), P_c_insert-{F}(V17,V15,V13,V9) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #275: mergings( V16 == V18, V18 == V22, V22 == V23, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14, V13 == V15, V14 == V23, V15 == V19, V23 == V20, V19 == V21, V2 == V24, V3 == V25, V4 == V26, V5 == V27, V6 == V29, V0 == V30; #233 ), references = 1, size of lhs = 18:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_v_X-{F}(V3), P_v_G-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_Message_Osynth-{F}(V5,V6), P_v_x-{F}(V7), P_v_H-{F}(V8), P_c_insert-{F}(V3,V8,V0,V9), P_c_union-{F}(V6,V8,V0,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_Message_Oanalz-{F}(V12,V11), P_tc_set-{F}(V13,V1), c_lessequals-{F}(V14,V12,V1), P_c_union-{F}(V15,V16,V2,V14), c_in-{F}(V17,V16,V13), P_c_insert-{F}(V17,V15,V13,V9) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #295: mergings( V16 == V18, V18 == V22, V22 == V23, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14, V13 == V15, V14 == V23, V15 == V19, V23 == V20, V19 == V21, V2 == V24, V3 == V25, V4 == V26, V5 == V27, V6 == V29; #234 ), references = 1, size of lhs = 18:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_v_X-{F}(V3), P_v_G-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_Message_Osynth-{F}(V5,V6), P_v_x-{F}(V7), P_v_H-{F}(V8), P_c_insert-{F}(V3,V8,V0,V9), P_c_union-{F}(V6,V8,V0,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_Message_Oanalz-{F}(V12,V11), P_tc_set-{F}(V13,V1), c_lessequals-{F}(V14,V12,V1), P_c_union-{F}(V15,V16,V2,V14), c_in-{F}(V17,V16,V13), P_c_insert-{F}(V17,V15,V13,V9) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #316: mergings( V16 == V18, V18 == V21, V21 == V22, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14, V13 == V15, V14 == V22, V15 == V19, V22 == V20, V19 == V2, V4 == V23, V5 == V24, V6 == V25; #297 ), references = 2, size of lhs = 15:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_v_X-{F}(V3), P_v_G-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_Message_Osynth-{F}(V5,V6), P_v_x-{F}(V7), P_v_H-{F}(V8), P_c_union-{F}(V6,V8,V0,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V11,V10), c_in-{F}(V3,V12,V0), P_c_union-{F}(V8,V12,V2,V13), c_lessequals-{F}(V13,V11,V1) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #334: mergings( V16 == V18, V18 == V21, V21 == V22, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14, V13 == V15, V14 == V22, V15 == V19, V22 == V20, V19 == V2, V4 == V23, V5 == V24, V6 == V25; #298 ), references = 2, size of lhs = 15:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_v_X-{F}(V3), P_v_G-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_Message_Osynth-{F}(V5,V6), P_v_x-{F}(V7), P_v_H-{F}(V8), P_c_union-{F}(V6,V8,V0,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V11,V10), c_in-{F}(V3,V12,V0), P_c_union-{F}(V8,V12,V2,V13), c_lessequals-{F}(V13,V11,V1) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #354: mergings( V16 == V18, V18 == V21, V21 == V22, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14, V13 == V15, V14 == V22, V15 == V19, V22 == V20, V19 == V2, V0 == V23, V4 == V24, V5 == V25, V6 == V26, V1 == V28; #296 ), references = 1, size of lhs = 15:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_v_X-{F}(V3), P_v_G-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_Message_Osynth-{F}(V5,V6), P_v_x-{F}(V7), P_v_H-{F}(V8), P_c_union-{F}(V6,V8,V0,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V11,V10), c_in-{F}(V3,V12,V0), P_c_union-{F}(V8,V12,V2,V13), c_lessequals-{F}(V13,V11,V1) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #390: exists( #15, #316 ), references = 1, size of lhs = 13:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_v_X-{F}(V3), P_v_G-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_Message_Osynth-{F}(V5,V6), P_v_x-{F}(V7), P_v_H-{F}(V8), P_c_union-{F}(V6,V8,V0,V9), c_in-{F}(V3,V10,V0), P_c_union-{F}(V8,V10,V2,V11), c_lessequals-{F}(V11,V9,V1) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #391: exists( #15, #334 ), references = 1, size of lhs = 13:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_v_X-{F}(V3), P_v_G-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_Message_Osynth-{F}(V5,V6), P_v_x-{F}(V7), P_v_H-{F}(V8), P_c_union-{F}(V6,V8,V0,V9), c_in-{F}(V3,V10,V0), P_c_union-{F}(V8,V10,V2,V11), c_lessequals-{F}(V11,V9,V1) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #410: mergings( V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13; #400 ), references = 1, size of lhs = 13:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_tc_set-{F}(V3,V1), P_tc_set-{F}(V4,V1), P_tc_set-{F}(V5,V1), P_v_X-{F}(V6), P_v_G-{F}(V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Osynth-{F}(V8,V9), c_in-{F}(V6,V9,V0), P_v_x-{F}(V10), P_v_H-{F}(V11) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #419: mergings( V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13; #401 ), references = 1, size of lhs = 13:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_tc_set-{F}(V3,V1), P_tc_set-{F}(V4,V1), P_tc_set-{F}(V5,V1), P_v_X-{F}(V6), P_v_G-{F}(V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Osynth-{F}(V8,V9), c_in-{F}(V6,V9,V0), P_v_x-{F}(V10), P_v_H-{F}(V11) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #434: mergings( V12 == V13, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V13, V2 == V19; #422 ), references = 1, size of lhs = 11:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_tc_set-{F}(V3,V1), P_tc_set-{F}(V4,V1), P_tc_set-{F}(V5,V1), P_v_X-{F}(V6), P_v_G-{F}(V7), P_c_Message_Oanalz-{F}(V7,V8), P_v_x-{F}(V9), P_v_H-{F}(V10) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #445: mergings( V12 == V13, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V13, V2 == V19; #423 ), references = 1, size of lhs = 11:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_tc_set-{F}(V3,V1), P_tc_set-{F}(V4,V1), P_tc_set-{F}(V5,V1), P_v_X-{F}(V6), P_v_G-{F}(V7), P_c_Message_Oanalz-{F}(V7,V8), P_v_x-{F}(V9), P_v_H-{F}(V10) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #457: mergings( V11 == V12, V2 == V4, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V12; #446 ), references = 1, size of lhs = 10:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_tc_set-{F}(V3,V1), P_tc_set-{F}(V4,V1), P_tc_set-{F}(V5,V1), P_v_X-{F}(V6), P_v_G-{F}(V7), P_v_x-{F}(V8), P_v_H-{F}(V9) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #467: mergings( V11 == V12, V2 == V4, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V12; #447 ), references = 1, size of lhs = 10:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_tc_set-{F}(V0,V1), P_tc_set-{F}(V2,V1), P_tc_set-{F}(V3,V1), P_tc_set-{F}(V4,V1), P_tc_set-{F}(V5,V1), P_v_X-{F}(V6), P_v_G-{F}(V7), P_v_x-{F}(V8), P_v_H-{F}(V9) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #470: exists( #13, #446 ), references = 1, size of lhs = 5:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_v_X-{F}(V1), P_v_G-{F}(V2), P_v_x-{F}(V3), P_v_H-{F}(V4) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #473: exists( #23, #468 ), references = 1, size of lhs = 4:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_v_X-{F}(V1), P_v_G-{F}(V2), P_v_x-{F}(V3) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #476: exists( #22, #471 ), references = 1, size of lhs = 3:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_v_X-{F}(V1), P_v_G-{F}(V2) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #479: exists( #21, #474 ), references = 1, size of lhs = 2:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0), P_v_X-{F}(V1) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #482: exists( #19, #477 ), references = 1, size of lhs = 1:
% 2.31/2.50 P_tc_Message_Omsg-{F}(V0) | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 #485: exists( #14, #480 ), references = 1, size of lhs = 0:
% 2.31/2.50 FALSE | FALSE
% 2.31/2.50 (used 0 times, uses = {})
% 2.31/2.50
% 2.31/2.50 number of learnt formulas = 32
% 2.31/2.50
% 2.31/2.50
% 2.31/2.50 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.31/2.50
% 2.31/2.50 randbase = 1
%------------------------------------------------------------------------------