%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV255-2 : 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 06:21:16 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV255-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % 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 : Fri Jul 22 14:54:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.53 GeoParameters:
% 0.19/0.53
% 0.19/0.53 tptp_input = 1
% 0.19/0.53 tptp_output = 0
% 0.19/0.53 nonempty = 1
% 0.19/0.53 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 RuleSystem INPUT:
% 0.19/0.53
% 0.19/0.53 Initial Rules:
% 0.19/0.53 #0: input, references = 7, size of lhs = 2:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_xb-{F}(V1,V2) | c_lessequals-{T}(V1,V2,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #1: input, references = 5, size of lhs = 10:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_msg1-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V4,V5), P_v_x-{F}(V6), P_c_Message_Omsg_ONonce-{F}(V7,V8), c_in-{F}(V8,V5,V3), c_lessequals-{F}(V6,V7,V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #2: input, references = 3, size of lhs = 14:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_msg1-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V4,V5), P_v_x-{F}(V6), P_v_msg2-{F}(V7), P_c_insert-{F}(V7,V2,V3,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_xa-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V11,V12), c_in-{F}(V12,V9,V3), c_lessequals-{F}(V10,V11,V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #3: input, references = 4, size of lhs = 13:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_msg1-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V4,V5), P_v_x-{F}(V6), P_v_msg2-{F}(V7), P_c_insert-{F}(V7,V2,V3,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_xa-{F}(V10), P_v_xb-{F}(V11,V12), P_c_Message_Omsg_ONonce-{F}(V12,V13) | c_in-{T}(V13,V9,V3), c_in-{T}(V13,V5,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #4: input, references = 6, size of lhs = 13:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_msg1-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V4,V5), P_v_x-{F}(V6), P_v_msg2-{F}(V7), P_c_insert-{F}(V7,V2,V3,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_xa-{F}(V10), P_c_plus-{F}(V13,V11,V0,V14), c_lessequals-{F}(V14,V12,V0) | c_lessequals-{T}(V11,V12,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #5: input, references = 6, size of lhs = 13:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_msg1-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V4,V5), P_v_x-{F}(V6), P_v_msg2-{F}(V7), P_c_insert-{F}(V7,V2,V3,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_xa-{F}(V10), P_c_plus-{F}(V11,V13,V0,V14), c_lessequals-{F}(V14,V12,V0) | c_lessequals-{T}(V11,V12,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #6: input, references = 5, size of lhs = 1:
% 0.19/0.53 #-{F} V0 | EXISTS V1: P_v_xb-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #7: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #8: input, references = 4, size of lhs = 1:
% 0.19/0.53 #-{F} V0 | EXISTS V1: P_c_Message_Omsg_ONonce-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #9: input, references = 9, size of lhs = 1:
% 0.19/0.53 #-{F} V0 | EXISTS V1: P_c_Message_Oparts-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #10: input, references = 8, size of lhs = 3:
% 0.19/0.53 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #11: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_v_msg1-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #12: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_c_emptyset-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #13: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #14: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #15: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_v_msg2-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #16: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_v_xa-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #17: input, references = 4, size of lhs = 3:
% 0.19/0.53 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_plus-{T}(V0,V1,V2,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of initial rules = 18
% 0.19/0.53
% 0.19/0.53 Simplifiers:
% 0.19/0.53 #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_v_xb-{F}(V0,V1), P_v_xb-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_Message_Omsg_ONonce-{F}(V0,V1), P_c_Message_Omsg_ONonce-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Oparts-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_v_msg1-{F}(V0), P_v_msg1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_emptyset-{F}(V0), P_c_emptyset-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_msg2-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_v_xa-{F}(V0), P_v_xa-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_c_plus-{F}(V0,V1,V2,V3), P_c_plus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of simplifiers = 14
% 0.19/0.53
% 0.19/0.53 Learnt:
% 0.19/0.53 #40: mergings( V0 == V14, V1 == V15, V2 == V16, V4 == V17, V5 == V9, V6 == V18; #32 ), references = 1, size of lhs = 15:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V0,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_c_insert-{F}(V3,V4,V5,V8), P_c_Message_Oparts-{F}(V8,V7), P_v_x-{F}(V9), c_lessequals-{F}(V9,V10,V2), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_c_Message_Omsg_ONonce-{F}(V12,V11), P_v_xb-{F}(V13,V12) | c_in-{T}(V11,V7,V5)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #50: mergings( V0 == V14, V1 == V15, V2 == V16, V4 == V17, V5 == V18, V6 == V19, V7 == V20, V8 == V21, V10 == V22; #33 ), references = 3, size of lhs = 15:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_msg1-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V1,V2,V3,V4), P_c_Message_Oparts-{F}(V4,V5), P_v_x-{F}(V6), P_v_msg2-{F}(V7), P_c_insert-{F}(V7,V2,V3,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_xa-{F}(V10), c_lessequals-{F}(V10,V11,V0), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_c_Message_Omsg_ONonce-{F}(V13,V12), P_v_xb-{F}(V14,V13) | c_in-{T}(V12,V5,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #59: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V16; #54 ), references = 1, size of lhs = 16:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), c_lessequals-{F}(V1,V3,V2), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_msg1-{F}(V5), P_c_emptyset-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_insert-{F}(V5,V6,V7,V8), P_c_insert-{F}(V0,V6,V7,V9), P_c_Message_Oparts-{F}(V9,V10), P_v_x-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V12,V4), c_lessequals-{F}(V11,V12,V2), P_c_Message_Omsg_ONonce-{F}(V13,V4), P_v_xb-{F}(V14,V13) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #63: mergings( V4 == V10, V5 == V13; #60 ), references = 2, size of lhs = 15:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), c_lessequals-{F}(V1,V3,V2), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_msg1-{F}(V5), P_c_emptyset-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_insert-{F}(V0,V6,V7,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_x-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V11,V4), c_lessequals-{F}(V10,V11,V2), P_c_Message_Omsg_ONonce-{F}(V12,V4), P_v_xb-{F}(V13,V12) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #65: exists( #9, #63 ), references = 1, size of lhs = 14:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), c_lessequals-{F}(V1,V3,V2), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_msg1-{F}(V5), P_c_emptyset-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_insert-{F}(V0,V6,V7,V8), P_v_x-{F}(V9), P_c_Message_Omsg_ONonce-{F}(V10,V4), c_lessequals-{F}(V9,V10,V2), P_c_Message_Omsg_ONonce-{F}(V11,V4), P_v_xb-{F}(V12,V11) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #67: exists( #10, #64 ), references = 1, size of lhs = 13:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), c_lessequals-{F}(V1,V3,V2), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_msg1-{F}(V5), P_c_emptyset-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_v_x-{F}(V8), P_c_Message_Omsg_ONonce-{F}(V9,V4), c_lessequals-{F}(V8,V9,V2), P_c_Message_Omsg_ONonce-{F}(V10,V4), P_v_xb-{F}(V11,V10) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #69: exists( #8, #66 ), references = 3, size of lhs = 10:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_v_x-{F}(V6), c_lessequals-{F}(V1,V7,V2), c_lessequals-{F}(V6,V7,V2), P_v_xb-{F}(V8,V7) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #72: exists( #6, #70 ), references = 1, size of lhs = 7:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_v_x-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #89: mergings( V2 == V13, V3 == V14, V4 == V15, V5 == V16, V6 == V10, V9 == V11; #81 ), references = 1, size of lhs = 14:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_insert-{F}(V0,V4,V5,V7), P_c_Message_Oparts-{F}(V7,V8), P_v_x-{F}(V9), c_lessequals-{F}(V1,V10,V2), P_v_xb-{F}(V11,V10), c_lessequals-{F}(V12,V10,V2), P_c_plus-{F}(V9,V13,V2,V12) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #102: mergings( V2 == V18, V3 == V10, V10 == V19, V4 == V11, V11 == V20, V12 == V21, V5 == V13, V13 == V24, V6 == V14, V15 == V22, V16 == V23, V7 == V17; #82 ), references = 1, size of lhs = 17:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), c_lessequals-{F}(V1,V3,V2), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_msg1-{F}(V5), P_c_emptyset-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_insert-{F}(V5,V6,V7,V8), P_c_insert-{F}(V0,V6,V7,V9), P_c_Message_Oparts-{F}(V9,V10), P_v_x-{F}(V11), P_c_Message_Omsg_ONonce-{F}(V12,V4), P_c_Message_Omsg_ONonce-{F}(V13,V4), P_v_xb-{F}(V14,V13), c_lessequals-{F}(V15,V12,V2), P_c_plus-{F}(V11,V16,V2,V15) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #111: mergings( V0 == V12, V1 == V13, V2 == V14, V4 == V15, V5 == V9, V8 == V10; #103 ), references = 2, size of lhs = 13:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V0,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_v_x-{F}(V8), c_lessequals-{F}(V1,V9,V2), P_v_xb-{F}(V10,V9), c_lessequals-{F}(V11,V9,V2), P_c_plus-{F}(V8,V12,V2,V11) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #119: mergings( V4 == V15, V5 == V10, V10 == V18, V6 == V11, V12 == V16, V13 == V17, V7 == V14; #104 ), references = 1, size of lhs = 16:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), c_lessequals-{F}(V1,V3,V2), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_msg1-{F}(V5), P_c_emptyset-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_insert-{F}(V0,V6,V7,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_x-{F}(V10), P_c_Message_Omsg_ONonce-{F}(V11,V4), P_c_Message_Omsg_ONonce-{F}(V12,V4), P_v_xb-{F}(V13,V12), c_lessequals-{F}(V14,V11,V2), P_c_plus-{F}(V10,V15,V2,V14) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #128: mergings( V2 == V11, V3 == V12, V4 == V13, V5 == V14, V6 == V8, V7 == V9; #120 ), references = 2, size of lhs = 12:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V0,V4,V5,V6), P_v_x-{F}(V7), c_lessequals-{F}(V1,V8,V2), P_v_xb-{F}(V9,V8), c_lessequals-{F}(V10,V8,V2), P_c_plus-{F}(V7,V11,V2,V10) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #134: mergings( V2 == V11, V3 == V8, V8 == V15, V4 == V9, V5 == V10; #121 ), references = 1, size of lhs = 15:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), c_lessequals-{F}(V1,V3,V2), P_c_Message_Omsg_ONonce-{F}(V3,V4), P_v_msg1-{F}(V5), P_c_emptyset-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_insert-{F}(V0,V6,V7,V8), P_v_x-{F}(V9), P_c_Message_Omsg_ONonce-{F}(V10,V4), P_c_Message_Omsg_ONonce-{F}(V11,V4), P_v_xb-{F}(V12,V11), c_lessequals-{F}(V13,V10,V2), P_c_plus-{F}(V9,V14,V2,V13) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #159: mergings( V2 == V15, V3 == V16, V4 == V17, V7 == V19, V8 == V12, V9 == V18, V11 == V13; #149 ), references = 1, size of lhs = 13:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_c_insert-{F}(V0,V4,V5,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_x-{F}(V10), P_c_plus-{F}(V11,V1,V2,V12), P_c_plus-{F}(V10,V13,V2,V12) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #168: mergings( V2 == V15, V3 == V16, V4 == V17, V7 == V20, V8 == V12, V9 == V18, V10 == V19, V11 == V13; #150 ), references = 1, size of lhs = 13:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_c_insert-{F}(V0,V4,V5,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_x-{F}(V10), P_c_plus-{F}(V11,V1,V2,V12), P_c_plus-{F}(V10,V13,V2,V12) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #185: mergings( V2 == V12, V12 == V25, V3 == V13, V13 == V26, V4 == V14, V5 == V15, V6 == V16, V14 == V27, V7 == V17, V17 == V28, V8 == V18, V9 == V19, V10 == V20, V18 == V22, V11 == V21, V21 == V23; #151 ), references = 1, size of lhs = 13:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_c_insert-{F}(V0,V4,V5,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_x-{F}(V10), P_c_plus-{F}(V11,V1,V2,V12), P_c_plus-{F}(V10,V13,V2,V12) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #196: mergings( V4 == V15, V5 == V16, V6 == V17, V9 == V0, V10 == V14, V11 == V18, V13 == V1; #186 ), references = 1, size of lhs = 11:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_c_insert-{F}(V0,V4,V5,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_x-{F}(V10) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #205: mergings( V4 == V15, V5 == V16, V6 == V17, V9 == V0, V10 == V14, V11 == V18, V12 == V19, V13 == V1; #187 ), references = 1, size of lhs = 11:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_c_insert-{F}(V0,V4,V5,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_x-{F}(V10) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #222: mergings( V4 == V14, V14 == V25, V5 == V15, V15 == V26, V6 == V16, V7 == V17, V8 == V18, V16 == V27, V9 == V19, V19 == V0, V10 == V20, V11 == V21, V12 == V22, V20 == V24, V13 == V23, V23 == V1; #188 ), references = 1, size of lhs = 11:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_c_insert-{F}(V0,V4,V5,V8), P_c_Message_Oparts-{F}(V8,V9), P_v_x-{F}(V10) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #233: mergings( V2 == V13, V3 == V14, V4 == V15, V5 == V17, V6 == V10, V7 == V16, V9 == V11; #223 ), references = 1, size of lhs = 10:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_insert-{F}(V0,V4,V5,V7), P_c_Message_Oparts-{F}(V7,V8), P_v_x-{F}(V9) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #242: mergings( V2 == V13, V3 == V14, V4 == V15, V5 == V18, V6 == V10, V7 == V16, V8 == V17, V9 == V11; #224 ), references = 1, size of lhs = 10:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_insert-{F}(V0,V4,V5,V7), P_c_Message_Oparts-{F}(V7,V8), P_v_x-{F}(V9) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #257: mergings( V2 == V10, V10 == V21, V3 == V11, V11 == V22, V4 == V12, V12 == V23, V5 == V13, V13 == V24, V6 == V14, V7 == V15, V8 == V16, V14 == V18, V9 == V17, V17 == V19; #225 ), references = 1, size of lhs = 10:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_insert-{F}(V0,V4,V5,V7), P_c_Message_Oparts-{F}(V7,V8), P_v_x-{F}(V9) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #268: mergings( V0 == V12, V1 == V13, V2 == V14, V4 == V16, V5 == V9, V6 == V15, V8 == V10; #258 ), references = 1, size of lhs = 9:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V0,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_v_x-{F}(V8) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #277: mergings( V0 == V12, V1 == V13, V2 == V14, V4 == V17, V5 == V9, V6 == V15, V7 == V16, V8 == V10; #259 ), references = 1, size of lhs = 9:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V0,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_v_x-{F}(V8) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #289: mergings( V0 == V17, V1 == V18, V2 == V19, V4 == V9, V9 == V20, V5 == V10, V6 == V11, V7 == V12, V10 == V14, V8 == V13, V13 == V15; #260 ), references = 1, size of lhs = 9:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V0,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_v_x-{F}(V8) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #300: mergings( V2 == V11, V3 == V12, V4 == V13, V5 == V15, V6 == V8, V0 == V14, V7 == V9; #290 ), references = 1, size of lhs = 8:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V0,V4,V5,V6), P_v_x-{F}(V7) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #307: mergings( V2 == V11, V3 == V12, V4 == V13, V5 == V14, V6 == V8, V7 == V9; #291 ), references = 1, size of lhs = 8:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V0,V4,V5,V6), P_v_x-{F}(V7) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #317: mergings( V5 == V14, V6 == V15, V7 == V16, V2 == V8, V8 == V17, V3 == V9, V9 == V11, V4 == V10, V10 == V12; #292 ), references = 1, size of lhs = 8:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V0,V4,V5,V6), P_v_x-{F}(V7) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #324: mergings( V4 == V9, V5 == V10, V6 == V7; #318 ), references = 1, size of lhs = 7:
% 0.19/0.53 P_v_msg2-{F}(V0), P_v_xa-{F}(V1), P_tc_nat-{F}(V2), P_v_msg1-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_v_x-{F}(V6) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #330: mergings( V1 == V5, V2 == V8; #325 ), references = 1, size of lhs = 6:
% 0.19/0.53 P_v_msg2-{F}(V0), P_tc_nat-{F}(V1), P_v_msg1-{F}(V2), P_c_emptyset-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_v_x-{F}(V5) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #336: mergings( V1 == V4, V2 == V7; #331 ), references = 1, size of lhs = 5:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_msg1-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_v_x-{F}(V4) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #341: mergings( V1 == V3; #337 ), references = 1, size of lhs = 4:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_msg1-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #346: mergings( V1 == V3; #342 ), references = 1, size of lhs = 3:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_msg1-{F}(V1), P_c_emptyset-{F}(V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #351: mergings( V1 == V3; #347 ), references = 1, size of lhs = 2:
% 0.19/0.53 P_tc_nat-{F}(V0), P_v_msg1-{F}(V1) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #355: exists( #11, #347 ), references = 1, size of lhs = 1:
% 0.19/0.53 P_tc_nat-{F}(V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #359: exists( #7, #352 ), references = 1, size of lhs = 0:
% 0.19/0.53 FALSE | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of learnt formulas = 37
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 randbase = 1
%------------------------------------------------------------------------------