TSTP Solution File: SWV864-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:22:19 EDT 2022
% Result : Unsatisfiable 0.54s 0.71s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n028.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 15:47:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.54/0.71 GeoParameters:
% 0.54/0.71
% 0.54/0.71 tptp_input = 1
% 0.54/0.71 tptp_output = 0
% 0.54/0.71 nonempty = 1
% 0.54/0.71 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.54/0.71
% 0.54/0.71
% 0.54/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71
% 0.54/0.71 RuleSystem INPUT:
% 0.54/0.71
% 0.54/0.71 Initial Rules:
% 0.54/0.71 #0: input, references = 4, size of lhs = 2:
% 0.54/0.71 P_c_Fun_Oid-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #1: input, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), c_Natural_Oevaln-{F}(V0,V2,V3,V1), V1 == V2 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #2: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Natural_Osko__Natural__Xevalc__elim__cases__4__1-{F}(V4,V3,V2,V1,V5), P_c_Com_Ocom_OSemi-{F}(V4,V3,V6), c_Natural_Oevalc-{F}(V6,V2,V1) | c_Natural_Oevalc-{T}(V3,V5,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #3: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Natural_Osko__Natural__Xevalc__elim__cases__4__1-{F}(V4,V3,V2,V1,V5), P_c_Com_Ocom_OSemi-{F}(V4,V3,V6), c_Natural_Oevalc-{F}(V6,V2,V1) | c_Natural_Oevalc-{T}(V4,V2,V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #4: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), c_Natural_Oevaln-{F}(V2,V3,V1,V4), P_c_Com_Ocom_OSemi-{F}(V2,V6,V7), c_Natural_Oevaln-{F}(V6,V4,V1,V5) | c_Natural_Oevaln-{T}(V7,V3,V1,V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #5: input, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Natural_Osko__Natural__Xeval__eq__1__1-{F}(V3,V2,V1,V4), c_Natural_Oevalc-{F}(V3,V2,V1) | c_Natural_Oevaln-{T}(V3,V2,V4,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #6: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Com_Ocom_OSemi-{F}(V4,V1,V6), P_c_Com_Ocom_OSemi-{F}(V3,V2,V6), V1 == V2 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #7: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Com_Ocom_OSemi-{F}(V1,V4,V6), P_c_Com_Ocom_OSemi-{F}(V2,V3,V6), V1 == V2 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #8: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Natural_Osko__Natural__Xevaln__elim__cases__4__1-{F}(V5,V4,V3,V2,V1,V6), P_c_Com_Ocom_OSemi-{F}(V5,V4,V7), c_Natural_Oevaln-{F}(V7,V2,V3,V1) | c_Natural_Oevaln-{T}(V4,V6,V3,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #9: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Natural_Osko__Natural__Xevaln__elim__cases__4__1-{F}(V5,V4,V3,V2,V1,V6), P_c_Com_Ocom_OSemi-{F}(V5,V4,V7), c_Natural_Oevaln-{F}(V7,V2,V3,V1) | c_Natural_Oevaln-{T}(V5,V2,V3,V6)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #10: input, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), #-{F} V1, #-{F} V2 | c_Natural_Oevaln-{T}(V0,V1,V2,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #11: input, references = 3, size of lhs = 2:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Com_Ocom_OSemi-{F}(V1,V2,V0) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #12: input, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Natural_Osko__Natural__Xevalc__evaln__1__1-{F}(V3,V2,V1,V4), c_Natural_Oevalc-{F}(V3,V2,V1) | c_Natural_Oevaln-{T}(V3,V2,V4,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #13: input, references = 3, size of lhs = 2:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V3), P_c_Com_Ocom_OSemi-{F}(V1,V2,V3) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #14: input, references = 4, size of lhs = 4:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), c_Natural_Oevalc-{F}(V2,V1,V3), c_Natural_Oevalc-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #15: input, references = 3, size of lhs = 2:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), #-{F} V1 | c_Natural_Oevalc-{T}(V0,V1,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #16: input, references = 3, size of lhs = 5:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), V3 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #17: input, references = 9, size of lhs = 7:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), c_Hoare__Mirabelle_Ostate__not__singleton-{F}() | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #18: input, references = 10, size of lhs = 9:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), #-{F} V6, #-{F} V7, V7 == V6 | c_Hoare__Mirabelle_Ostate__not__singleton-{T}()
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #19: input, references = 3, size of lhs = 8:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), c_Hoare__Mirabelle_Ostate__not__singleton-{F}(), P_v_sko__Hoare__Mirabelle__Xsingle__stateE__1-{F}(V6,V6) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #20: input, references = 3, size of lhs = 9:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), c_Natural_Oevalc-{F}(V6,V7,V8), P_c_Com_Ocom_OSemi-{F}(V6,V10,V11), c_Natural_Oevalc-{F}(V10,V8,V9) | c_Natural_Oevalc-{T}(V11,V7,V9)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #21: input, references = 4, size of lhs = 9:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V7), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7), c_Hoare__Mirabelle_Ostate__not__singleton-{F}() | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #22: input, references = 3, size of lhs = 10:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7), c_Natural_Oevalc-{F}(V0,V9,V8), V8 == V9 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #23: input, references = 3, size of lhs = 9:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7), c_Natural_Oevaln-{F}(V10,V9,V11,V8) | c_Natural_Oevalc-{T}(V10,V9,V8)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #24: input, references = 3, size of lhs = 9:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7), c_Natural_Oevaln-{F}(V10,V9,V11,V8) | c_Natural_Oevalc-{T}(V10,V9,V8)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #25: input, references = 4, size of lhs = 8:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7) | c_Hoare__Mirabelle_Ostate__not__singleton-{T}()
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #26: input, references = 6, size of lhs = 11:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7), P_v_c-{F}(V8), P_v_xa-{F}(V9), c_Natural_Oevalc-{F}(V8,V1,V9) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #27: input, references = 8, size of lhs = 12:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7), P_v_c-{F}(V8), P_v_xa-{F}(V9), P_v_xb-{F}(V10,V11), V10 == V9 | c_Natural_Oevalc-{T}(V8,V1,V11)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #28: input, references = 4, size of lhs = 12:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7), P_v_c-{F}(V8), P_v_xa-{F}(V9), P_v_xb-{F}(V11,V11), V11 == V9 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #29: input, references = 4, size of lhs = 2:
% 0.54/0.71 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Fun_Oid-{T}(V0,V1,V2)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #30: input, references = 4, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_c_Com_Ocom_OSKIP-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #31: input, references = 3, size of lhs = 4:
% 0.54/0.71 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Natural_Osko__Natural__Xevalc__elim__cases__4__1-{T}(V0,V1,V2,V3,V4)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #32: input, references = 3, size of lhs = 2:
% 0.54/0.71 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Com_Ocom_OSemi-{T}(V0,V1,V2)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #33: input, references = 3, size of lhs = 3:
% 0.54/0.71 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Natural_Osko__Natural__Xeval__eq__1__1-{T}(V0,V1,V2,V3)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #34: input, references = 3, size of lhs = 5:
% 0.54/0.71 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_c_Natural_Osko__Natural__Xevaln__elim__cases__4__1-{T}(V0,V1,V2,V3,V4,V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #35: input, references = 3, size of lhs = 3:
% 0.54/0.71 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Natural_Osko__Natural__Xevalc__evaln__1__1-{T}(V0,V1,V2,V3)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #36: input, references = 4, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #37: input, references = 4, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #38: input, references = 4, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #39: input, references = 4, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #40: input, references = 3, size of lhs = 1:
% 0.54/0.71 #-{F} V0 | EXISTS V1: P_v_sko__Hoare__Mirabelle__Xsingle__stateE__1-{T}(V0,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #41: input, references = 5, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #42: input, references = 4, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #43: input, references = 4, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #44: input, references = 4, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_v_xa-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #45: input, references = 5, size of lhs = 1:
% 0.54/0.71 #-{F} V0 | EXISTS V1: P_v_xb-{T}(V0,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 number of initial rules = 46
% 0.54/0.71
% 0.54/0.71 Simplifiers:
% 0.54/0.71 #46: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Fun_Oid-{F}(V0,V1,V2), P_c_Fun_Oid-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #47: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #48: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Natural_Osko__Natural__Xevalc__elim__cases__4__1-{F}(V0,V1,V2,V3,V4), P_c_Natural_Osko__Natural__Xevalc__elim__cases__4__1-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #49: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Com_Ocom_OSemi-{F}(V0,V1,V2), P_c_Com_Ocom_OSemi-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #50: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Natural_Osko__Natural__Xeval__eq__1__1-{F}(V0,V1,V2,V3), P_c_Natural_Osko__Natural__Xeval__eq__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #51: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Natural_Osko__Natural__Xevaln__elim__cases__4__1-{F}(V0,V1,V2,V3,V4,V5), P_c_Natural_Osko__Natural__Xevaln__elim__cases__4__1-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #52: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_c_Natural_Osko__Natural__Xevalc__evaln__1__1-{F}(V0,V1,V2,V3), P_c_Natural_Osko__Natural__Xevalc__evaln__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #53: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #54: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #55: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V0), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #56: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V0), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #57: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_v_sko__Hoare__Mirabelle__Xsingle__stateE__1-{F}(V0,V1), P_v_sko__Hoare__Mirabelle__Xsingle__stateE__1-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #58: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V0), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #59: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V0), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #60: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #61: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_v_xa-{F}(V0), P_v_xa-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #62: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_v_xb-{F}(V0,V1), P_v_xb-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 number of simplifiers = 17
% 0.54/0.71
% 0.54/0.71 Learnt:
% 0.54/0.71 #64: exists( #29, #0 ), references = 4, size of lhs = 2:
% 0.54/0.71 #-{F} V0, #-{F} V1 | P_c_Fun_Oid-{T}(V0,V1,V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #70: mergings( V2 == V12; #68 ), references = 1, size of lhs = 13:
% 0.54/0.71 P_v_x-{F}(V0), P_t_a-{F}(V1), P_c_Fun_Oid-{F}(V0,V1,V2), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V6), P_v_c-{F}(V7), P_v_xa-{F}(V8), P_c_Com_Ocom_OSKIP-{F}(V9), c_Natural_Oevalc-{F}(V7,V0,V10), #-{F} V11, V11 == V8 | P_v_xb-{T}(V11,V10)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #93: mergings( V2 == V9, V9 == V20, V20 == V21, V10 == V22, V3 == V12, V11 == V13, V12 == V23, V13 == V24, V4 == V14, V14 == V25, V5 == V15, V15 == V26, V6 == V16, V16 == V27, V7 == V17, V17 == V28, V18 == V29, V8 == V19, V19 == V30; #73 ), references = 4, size of lhs = 12:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7), P_v_c-{F}(V8), P_v_xa-{F}(V9), #-{F} V10, V10 == V9 | P_v_xb-{T}(V10,V9)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #113: mergings( V1 == V10, V10 == V16, V2 == V17, V3 == V11, V4 == V18, V11 == V19, V18 == V20, V5 == V12, V12 == V21, V6 == V13, V13 == V22, V7 == V14, V14 == V23, V8 == V15, V15 == V24, V9 == V25; #96 ), references = 2, size of lhs = 10:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7), P_v_c-{F}(V8), #-{F} V9 | P_v_xa-{T}(V9)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #156: mergings( V1 == V9, V9 == V15, V15 == V24, V24 == V32, V32 == V38, V2 == V16, V16 == V25, V25 == V39, V3 == V10, V4 == V17, V10 == V18, V17 == V19, V18 == V26, V19 == V27, V26 == V33, V27 == V40, V33 == V41, V40 == V42, V5 == V11, V11 == V20, V20 == V28, V28 == V34, V34 == V43, V6 == V12, V12 == V21, V21 == V29, V29 == V35, V35 == V44, V7 == V13, V13 == V22, V22 == V30, V30 == V36, V36 == V45, V8 == V14, V14 == V23, V23 == V31, V31 == V37, V37 == V46; #117 ), references = 1, size of lhs = 9:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V7), #-{F} V8 | P_v_c-{T}(V8)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #222: mergings( V1 == V8, V8 == V13, V13 == V21, V21 == V28, V28 == V33, V33 == V41, V41 == V48, V48 == V55, V55 == V60, V2 == V14, V14 == V22, V22 == V34, V34 == V42, V42 == V49, V49 == V61, V3 == V9, V4 == V15, V9 == V16, V15 == V17, V16 == V23, V17 == V24, V23 == V29, V24 == V35, V29 == V36, V35 == V37, V36 == V43, V37 == V44, V43 == V50, V44 == V51, V50 == V56, V51 == V62, V56 == V63, V62 == V64, V5 == V10, V10 == V18, V18 == V25, V25 == V30, V30 == V38, V38 == V45, V45 == V52, V52 == V57, V57 == V65, V6 == V11, V11 == V19, V19 == V26, V26 == V31, V31 == V39, V39 == V46, V46 == V53, V53 == V58, V58 == V66, V7 == V12, V12 == V20, V20 == V27, V27 == V32, V32 == V40, V40 == V47, V47 == V54, V54 == V59, V59 == V67; #161 ), references = 3, size of lhs = 8:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V6), #-{F} V7 | P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{T}(V7)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #231: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V12; #224 ), references = 2, size of lhs = 7:
% 0.54/0.71 c_Hoare__Mirabelle_Ostate__not__singleton-{F}(), P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #244: mergings( V1 == V6, V6 == V11, V2 == V7, V7 == V12, V3 == V8, V4 == V9, V8 == V13, V9 == V14, V5 == V10, V10 == V15; #233 ), references = 5, size of lhs = 6:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), #-{F} V5 | P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{T}(V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #267: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V17, V2 == V6, V6 == V10, V10 == V14, V14 == V18, V3 == V7, V4 == V8, V7 == V11, V8 == V12, V11 == V15, V12 == V16, V15 == V19, V16 == V20; #249 ), references = 5, size of lhs = 5:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), #-{F} V4 | P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{T}(V4)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #287: mergings( V1 == V2, V2 == V3, V3 == V4; #282 ), references = 4, size of lhs = 3:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), #-{F} V2 | P_t_a-{T}(V2)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #312: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #306 ), references = 2, size of lhs = 2:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), #-{F} V1 | P_v_x-{T}(V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #328: mergings( V3 == V4, V4 == V5, V5 == V6; #323 ), references = 1, size of lhs = 2:
% 0.54/0.71 P_c_Fun_Oid-{F}(V0,V1,V2), #-{F} V3 | P_c_Com_Ocom_OSKIP-{T}(V3)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #339: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V11; #331 ), references = 1, size of lhs = 7:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V4), #-{F} V5 | P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{T}(V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #346: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V12; #332 ), references = 1, size of lhs = 7:
% 0.54/0.71 P_c_Com_Ocom_OSKIP-{F}(V0), P_v_x-{F}(V1), P_t_a-{F}(V2), P_c_Fun_Oid-{F}(V1,V2,V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V5), #-{F} V6 | P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{T}(V6)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #374: #64+#323+#312+#287+#267+#244+#331+#222+#25+#17, references = 1, size of lhs = 1:
% 0.54/0.71 #-{F} V0 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 number of learnt formulas = 15
% 0.54/0.71
% 0.54/0.71
% 0.54/0.71 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71
% 0.54/0.71 randbase = 1
%------------------------------------------------------------------------------