TSTP Solution File: SWV888-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV888-1 : TPTP v8.1.0. Released v4.1.0.
% 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 06:22:20 EDT 2022
% Result : Unsatisfiable 0.90s 1.16s
% Output : Refutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV888-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 15:14:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.90/1.16 GeoParameters:
% 0.90/1.16
% 0.90/1.16 tptp_input = 1
% 0.90/1.16 tptp_output = 0
% 0.90/1.16 nonempty = 1
% 0.90/1.16 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/1.16 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.90/1.16
% 0.90/1.16
% 0.90/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/1.16 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/1.16
% 0.90/1.16 RuleSystem INPUT:
% 0.90/1.16
% 0.90/1.16 Initial Rules:
% 0.90/1.16 #0: input, references = 4, size of lhs = 2:
% 0.90/1.16 P_c_Fun_Oid-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #1: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), c_Natural_Oevaln-{F}(V0,V2,V3,V1), V1 == V2 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #2: input, references = 4, size of lhs = 6:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1-{F}(V2,V1,V3), P_c_Option_Ooption_OSome-{F}(V3,V1,V4), P_c_Option_Ooption_ONone-{F}(V1,V5), V2 == V4, V2 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #3: input, references = 3, size of lhs = 6:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Natural_Osko__Natural__Xevaln__elim__cases__6__1-{F}(V3,V2,V1,V4,V5), P_c_Suc-{F}(V5,V6), P_c_Com_Ocom_OBODY-{F}(V3,V7), c_Natural_Oevaln-{F}(V7,V1,V2,V4), V2 == V6 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #4: input, references = 3, size of lhs = 4:
% 0.90/1.16 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)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #5: input, references = 3, size of lhs = 4:
% 0.90/1.16 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)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #6: input, references = 3, size of lhs = 1:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0) | c_Com_OWT-{T}(V0)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #7: input, references = 3, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Com_Ocom_OSemi-{F}(V3,V2,V6), c_Natural_Oevaln-{F}(V2,V7,V1,V5), c_Natural_Oevaln-{F}(V3,V4,V1,V7) | c_Natural_Oevaln-{T}(V6,V4,V1,V5)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #8: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_ONone-{F}(V1,V4), P_c_Option_Ooption_OSome-{F}(V2,V1,V4) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #9: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_ONone-{F}(V1,V4), P_c_Option_Ooption_OSome-{F}(V2,V1,V4) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #10: input, references = 3, size of lhs = 3:
% 0.90/1.16 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)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #11: input, references = 4, size of lhs = 6:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1-{F}(V1,V2,V3), P_c_Option_Ooption_OSome-{F}(V3,V2,V4), P_c_Option_Ooption_ONone-{F}(V2,V5), V1 == V4, V1 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #12: input, references = 3, size of lhs = 4:
% 0.90/1.16 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
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #13: input, references = 3, size of lhs = 4:
% 0.90/1.16 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
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #14: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_OSome-{F}(V2,V1,V4), P_c_Option_Ooption_ONone-{F}(V1,V4) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #15: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_OSome-{F}(V2,V1,V4), P_c_Option_Ooption_ONone-{F}(V1,V4) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #16: input, references = 7, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_OSome-{F}(V2,V3,V5), P_c_Option_Ooption_OSome-{F}(V1,V3,V5), V2 == V1 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #17: input, references = 3, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Suc-{F}(V1,V4), P_c_Suc-{F}(V2,V4), V1 == V2 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #18: input, references = 3, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Suc-{F}(V1,V4), P_c_Suc-{F}(V2,V4), V1 == V2 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #19: input, references = 3, size of lhs = 4:
% 0.90/1.16 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)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #20: input, references = 3, size of lhs = 4:
% 0.90/1.16 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)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #21: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Suc-{F}(V2,V5), c_Natural_Oevaln-{F}(V3,V1,V2,V4) | c_Natural_Oevaln-{T}(V3,V1,V5,V4)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #22: input, references = 4, size of lhs = 6:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_ONone-{F}(V2,V3), P_c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1-{F}(V1,V2,V4), P_c_Option_Ooption_OSome-{F}(V4,V2,V5), V1 == V3, V1 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #23: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), #-{F} V1, #-{F} V2 | c_Natural_Oevaln-{T}(V0,V1,V2,V1)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #24: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Com_Ocom_OSemi-{F}(V2,V1,V3), c_Com_OWT-{F}(V3) | c_Com_OWT-{T}(V1)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #25: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Com_Ocom_OSemi-{F}(V1,V2,V3), c_Com_OWT-{F}(V3) | c_Com_OWT-{T}(V1)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #26: input, references = 3, size of lhs = 2:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Com_Ocom_OSemi-{F}(V1,V2,V0) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #27: input, references = 3, size of lhs = 3:
% 0.90/1.16 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)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #28: input, references = 3, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), c_Com_OWT-{F}(V1), P_c_Com_Ocom_OSemi-{F}(V1,V2,V3), c_Com_OWT-{F}(V2) | c_Com_OWT-{T}(V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #29: input, references = 3, size of lhs = 5:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), c_Com_OWT__bodies-{F}(), P_c_Option_Ooption_OSome-{F}(V2,V1,V3), P_c_Com_Obody-{F}(V4,V3) | c_Com_OWT-{T}(V2)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #30: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Suc-{F}(V2,V2) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #31: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Suc-{F}(V3,V3) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #32: input, references = 4, size of lhs = 7:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1-{F}(V3,V2,V4), P_c_Option_Ooption_OSome-{F}(V4,V2,V5), P_c_Option_Ooption_ONone-{F}(V2,V6), V3 == V5, V3 == V6 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #33: input, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V4), P_tc_Com_Ocom-{F}(V1), P_c_Com_Ocom_OSemi-{F}(V2,V3,V4) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #34: input, references = 8, size of lhs = 5:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_OSome-{F}(V2,V3,V4), P_c_Option_Othe-{F}(V4,V3,V5), V5 == V2 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #35: input, references = 3, size of lhs = 6:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_c_Com_Ocom_OBODY-{F}(V3,V4), P_c_Com_Obody-{F}(V3,V5), V5 == V2 | c_Com_OWT-{T}(V4)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #36: input, references = 4, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_c_Com_Ocom_OBODY-{F}(V3,V0) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #37: input, references = 4, size of lhs = 7:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_c_Com_Ocom_OBODY-{F}(V5,V6), P_c_Com_Obody-{F}(V5,V7), P_c_Option_Othe-{F}(V7,V1,V8), c_Natural_Oevalc-{F}(V8,V4,V3) | c_Natural_Oevalc-{T}(V6,V4,V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #38: input, references = 3, size of lhs = 7:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_c_Com_Obody-{F}(V4,V6), P_c_Option_Othe-{F}(V6,V1,V7), P_c_Com_Ocom_OBODY-{F}(V4,V8), c_Natural_Oevalc-{F}(V8,V3,V5) | c_Natural_Oevalc-{T}(V7,V3,V5)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #39: input, references = 3, size of lhs = 6:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), c_Natural_Oevalc-{F}(V4,V3,V5), c_Natural_Oevalc-{F}(V4,V3,V6), V5 == V6 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #40: input, references = 3, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), #-{F} V3 | c_Natural_Oevalc-{T}(V0,V3,V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #41: input, references = 3, size of lhs = 7:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), V5 == V3 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #42: input, references = 3, size of lhs = 11:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_c_Com_Obody-{F}(V8,V10), P_c_Option_Othe-{F}(V10,V1,V11), P_c_Natural_Osko__Natural__Xevaln__elim__cases__6__1-{F}(V8,V7,V6,V9,V12), P_c_Com_Ocom_OBODY-{F}(V8,V13), c_Natural_Oevaln-{F}(V13,V6,V7,V9) | c_Natural_Oevaln-{T}(V11,V6,V12,V9)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #43: input, references = 3, size of lhs = 12:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_c_Com_Obody-{F}(V6,V7), P_c_Com_Osko__Com__XWTs__elim__cases__7__1-{F}(V6,V8), P_c_Option_Ooption_OSome-{F}(V8,V1,V9), P_c_Com_Ocom_OBODY-{F}(V6,V10), c_Com_OWT-{F}(V10), V7 == V9 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #44: input, references = 3, size of lhs = 8:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_c_Com_Ocom_OBODY-{F}(V8,V10), P_c_Com_Ocom_OSemi-{F}(V6,V7,V10) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #45: input, references = 3, size of lhs = 8:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_c_Com_Ocom_OSemi-{F}(V6,V7,V10), P_c_Com_Ocom_OBODY-{F}(V8,V10) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #46: input, references = 3, size of lhs = 9:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_c_Com_Ocom_OSemi-{F}(V7,V6,V10), c_Natural_Oevalc-{F}(V6,V11,V9), c_Natural_Oevalc-{F}(V7,V8,V11) | c_Natural_Oevalc-{T}(V10,V8,V9)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #47: input, references = 3, size of lhs = 11:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_c_Com_Ocom_OBODY-{F}(V9,V10), P_c_Suc-{F}(V6,V11), P_c_Com_Obody-{F}(V9,V12), P_c_Option_Othe-{F}(V12,V1,V13), c_Natural_Oevaln-{F}(V13,V8,V6,V7) | c_Natural_Oevaln-{T}(V10,V8,V11,V7)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #48: input, references = 3, size of lhs = 9:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_c_Com_Ocom_OBODY-{F}(V7,V9), P_c_Com_Ocom_OBODY-{F}(V6,V9), V7 == V6 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #49: input, references = 3, size of lhs = 7:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V7), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_c_Com_Ocom_OBODY-{F}(V6,V7) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #50: input, references = 3, size of lhs = 8:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), c_Natural_Oevalc-{F}(V0,V7,V6), V6 == V7 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #51: input, references = 3, size of lhs = 7:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), c_Natural_Oevaln-{F}(V8,V7,V9,V6) | c_Natural_Oevalc-{T}(V8,V7,V6)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #52: input, references = 3, size of lhs = 7:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), c_Natural_Oevaln-{F}(V8,V7,V9,V6) | c_Natural_Oevalc-{T}(V8,V7,V6)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #53: input, references = 4, size of lhs = 10:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_v_pn-{F}(V6), P_c_Com_Obody-{F}(V6,V7), P_c_Option_Othe-{F}(V7,V1,V8), P_v_xa-{F}(V9) | c_Natural_Oevalc-{T}(V8,V3,V9)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #54: input, references = 4, size of lhs = 12:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_v_pn-{F}(V6), P_c_Com_Obody-{F}(V6,V7), P_c_Option_Othe-{F}(V7,V1,V8), P_v_xa-{F}(V9), P_c_Com_Ocom_OBODY-{F}(V6,V10), c_Natural_Oevalc-{F}(V10,V3,V9) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #55: input, references = 4, size of lhs = 2:
% 0.90/1.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Fun_Oid-{T}(V0,V1,V2)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #56: input, references = 4, size of lhs = 0:
% 0.90/1.16 FALSE | EXISTS V0: P_c_Com_Ocom_OSKIP-{T}(V0)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #57: input, references = 5, size of lhs = 2:
% 0.90/1.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Option_Ooption_OSome-{T}(V0,V1,V2)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #58: input, references = 4, size of lhs = 2:
% 0.90/1.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1-{T}(V0,V1,V2)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #59: input, references = 5, size of lhs = 1:
% 0.90/1.16 #-{F} V0 | EXISTS V1: P_c_Option_Ooption_ONone-{T}(V0,V1)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #60: input, references = 3, size of lhs = 1:
% 0.90/1.16 #-{F} V0 | EXISTS V1: P_c_Suc-{T}(V0,V1)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #61: input, references = 3, size of lhs = 4:
% 0.90/1.16 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Natural_Osko__Natural__Xevaln__elim__cases__6__1-{T}(V0,V1,V2,V3,V4)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #62: input, references = 4, size of lhs = 1:
% 0.90/1.16 #-{F} V0 | EXISTS V1: P_c_Com_Ocom_OBODY-{T}(V0,V1)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #63: input, references = 3, size of lhs = 4:
% 0.90/1.16 #-{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)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #64: input, references = 3, size of lhs = 2:
% 0.90/1.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Com_Ocom_OSemi-{T}(V0,V1,V2)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #65: input, references = 3, size of lhs = 3:
% 0.90/1.16 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Natural_Osko__Natural__Xeval__eq__1__1-{T}(V0,V1,V2,V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #66: input, references = 4, size of lhs = 2:
% 0.90/1.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1-{T}(V0,V1,V2)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #67: input, references = 3, size of lhs = 5:
% 0.90/1.16 #-{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)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #68: input, references = 4, size of lhs = 2:
% 0.90/1.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1-{T}(V0,V1,V2)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #69: input, references = 3, size of lhs = 3:
% 0.90/1.16 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Natural_Osko__Natural__Xevalc__evaln__1__1-{T}(V0,V1,V2,V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #70: input, references = 4, size of lhs = 1:
% 0.90/1.16 #-{F} V0 | EXISTS V1: P_c_Com_Obody-{T}(V0,V1)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #71: input, references = 4, size of lhs = 0:
% 0.90/1.16 FALSE | EXISTS V0: P_tc_Com_Ocom-{T}(V0)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #72: input, references = 4, size of lhs = 2:
% 0.90/1.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1-{T}(V0,V1,V2)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #73: input, references = 5, size of lhs = 2:
% 0.90/1.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Option_Othe-{T}(V0,V1,V2)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #74: input, references = 4, size of lhs = 0:
% 0.90/1.16 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #75: input, references = 4, size of lhs = 0:
% 0.90/1.16 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #76: input, references = 3, size of lhs = 1:
% 0.90/1.16 #-{F} V0 | EXISTS V1: P_c_Com_Osko__Com__XWTs__elim__cases__7__1-{T}(V0,V1)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #77: input, references = 4, size of lhs = 0:
% 0.90/1.16 FALSE | EXISTS V0: P_v_pn-{T}(V0)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #78: input, references = 4, size of lhs = 0:
% 0.90/1.16 FALSE | EXISTS V0: P_v_xa-{T}(V0)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 number of initial rules = 79
% 0.90/1.16
% 0.90/1.16 Simplifiers:
% 0.90/1.16 #79: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Fun_Oid-{F}(V0,V1,V2), P_c_Fun_Oid-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #80: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), V0 == V1 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #81: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Option_Ooption_OSome-{F}(V0,V1,V2), P_c_Option_Ooption_OSome-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #82: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1-{F}(V0,V1,V2), P_c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #83: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Option_Ooption_ONone-{F}(V0,V3), V1 == V3 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #84: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Suc-{F}(V0,V1), P_c_Suc-{F}(V0,V3), V1 == V3 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #85: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Natural_Osko__Natural__Xevaln__elim__cases__6__1-{F}(V0,V1,V2,V3,V4), P_c_Natural_Osko__Natural__Xevaln__elim__cases__6__1-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #86: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OBODY-{F}(V0,V1), P_c_Com_Ocom_OBODY-{F}(V0,V3), V1 == V3 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #87: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 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
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #88: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSemi-{F}(V0,V1,V2), P_c_Com_Ocom_OSemi-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #89: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 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
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #90: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1-{F}(V0,V1,V2), P_c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #91: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 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
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #92: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1-{F}(V0,V1,V2), P_c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #93: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 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
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #94: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Obody-{F}(V0,V1), P_c_Com_Obody-{F}(V0,V3), V1 == V3 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #95: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_tc_Com_Ocom-{F}(V0), P_tc_Com_Ocom-{F}(V1), V0 == V1 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #96: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1-{F}(V0,V1,V2), P_c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #97: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Option_Othe-{F}(V0,V1,V2), P_c_Option_Othe-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #98: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #99: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #100: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_c_Com_Osko__Com__XWTs__elim__cases__7__1-{F}(V0,V1), P_c_Com_Osko__Com__XWTs__elim__cases__7__1-{F}(V0,V3), V1 == V3 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #101: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_v_pn-{F}(V0), P_v_pn-{F}(V1), V0 == V1 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #102: unsound, references = 3, size of lhs = 3:
% 0.90/1.16 P_v_xa-{F}(V0), P_v_xa-{F}(V1), V0 == V1 | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 number of simplifiers = 24
% 0.90/1.16
% 0.90/1.16 Learnt:
% 0.90/1.16 #105: exists( #59, #36 ), references = 1, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Com_Ocom_OBODY-{F}(V2,V0) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #107: exists( #55, #0 ), references = 2, size of lhs = 2:
% 0.90/1.16 #-{F} V0, #-{F} V1 | P_c_Fun_Oid-{T}(V0,V1,V0)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #109: exists( #73, #34 ), references = 1, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_OSome-{F}(V2,V3,V4) | P_c_Option_Othe-{T}(V4,V3,V2)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #111: exists( #57, #2 ), references = 1, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_ONone-{F}(V1,V2), P_c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1-{F}(V3,V1,V4), V3 == V2 | P_c_Option_Ooption_OSome-{T}(V4,V1,V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #117: mergings( V3 == V4; #114 ), references = 1, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_ONone-{F}(V1,V2), P_c_Option_Ooption_OSome-{F}(V3,V1,V4), V4 == V2 | P_c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1-{T}(V4,V1,V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #119: mergings( V3 == V4; #115 ), references = 1, size of lhs = 5:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V2,V3), P_c_Option_Othe-{F}(V4,V2,V5), V4 == V3 | P_c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1-{T}(V4,V2,V5)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #123: exists( #57, #11 ), references = 1, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_ONone-{F}(V1,V2), P_c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1-{F}(V3,V1,V4), V3 == V2 | P_c_Option_Ooption_OSome-{T}(V4,V1,V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #124: exists( #57, #22 ), references = 3, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_ONone-{F}(V1,V2), P_c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1-{F}(V3,V1,V4), V3 == V2 | P_c_Option_Ooption_OSome-{T}(V4,V1,V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #125: exists( #57, #32 ), references = 3, size of lhs = 5:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V2,V3), P_c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1-{F}(V4,V2,V5), V4 == V3 | P_c_Option_Ooption_OSome-{T}(V5,V2,V4)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #131: mergings( V3 == V4; #128 ), references = 1, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_ONone-{F}(V1,V2), P_c_Option_Ooption_OSome-{F}(V3,V1,V4), V4 == V2 | P_c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1-{T}(V4,V1,V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #133: mergings( V3 == V4; #129 ), references = 1, size of lhs = 5:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V2,V3), P_c_Option_Othe-{F}(V4,V2,V5), V4 == V3 | P_c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1-{T}(V4,V2,V5)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #139: mergings( V3 == V5; #136 ), references = 1, size of lhs = 5:
% 0.90/1.16 P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_c_Option_Ooption_ONone-{F}(V2,V3), P_c_Option_Ooption_OSome-{F}(V4,V2,V5), V5 == V3 | P_c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1-{T}(V5,V2,V4)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #142: mergings( V3 == V5, V4 == V6; #137 ), references = 1, size of lhs = 5:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V2,V3), P_c_Option_Othe-{F}(V4,V2,V5), V4 == V3 | P_c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1-{T}(V4,V2,V5)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #148: mergings( V3 == V4; #145 ), references = 1, size of lhs = 4:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Option_Ooption_ONone-{F}(V1,V2), P_c_Option_Ooption_OSome-{F}(V3,V1,V4), V4 == V2 | P_c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1-{T}(V4,V1,V3)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #150: mergings( V3 == V4; #146 ), references = 1, size of lhs = 5:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V2,V3), P_c_Option_Othe-{F}(V4,V2,V5), V4 == V3 | P_c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1-{T}(V4,V2,V5)
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #167: mergings( V3 == V7, V7 == V9, V4 == V8, V8 == V10, V5 == V13, V12 == V14, V6 == V15; #159 ), references = 1, size of lhs = 12:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_v_pn-{F}(V6), P_c_Com_Obody-{F}(V6,V7), P_v_xa-{F}(V8), P_c_Com_Ocom_OBODY-{F}(V6,V9), P_c_Com_Ocom_OBODY-{F}(V10,V9), P_c_Com_Obody-{F}(V10,V7) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #175: mergings( V2 == V4, V4 == V5, V7 == V8, V8 == V9, V3 == V12, V11 == V13; #168 ), references = 1, size of lhs = 9:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_v_pn-{F}(V6), P_v_xa-{F}(V7), P_c_Com_Ocom_OBODY-{F}(V6,V8) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #183: mergings( V2 == V4, V4 == V5, V7 == V8, V8 == V9, V3 == V12, V11 == V13; #176 ), references = 1, size of lhs = 8:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_c_Option_Ooption_ONone-{F}(V1,V2), P_v_x-{F}(V3), P_t_a-{F}(V4), P_c_Fun_Oid-{F}(V3,V4,V5), P_v_pn-{F}(V6), P_v_xa-{F}(V7) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #189: mergings( V2 == V4, V4 == V5, V3 == V8, V7 == V9; #184 ), references = 1, size of lhs = 7:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_v_x-{F}(V2), P_t_a-{F}(V3), P_c_Fun_Oid-{F}(V2,V3,V4), P_v_pn-{F}(V5), P_v_xa-{F}(V6) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #195: mergings( V1 == V3, V3 == V4, V2 == V8, V7 == V9; #190 ), references = 1, size of lhs = 6:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_v_x-{F}(V2), P_t_a-{F}(V3), P_c_Fun_Oid-{F}(V2,V3,V4), P_v_pn-{F}(V5) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #201: mergings( V1 == V3, V3 == V4, V2 == V8, V7 == V9; #196 ), references = 2, size of lhs = 5:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_v_x-{F}(V2), P_t_a-{F}(V3), P_c_Fun_Oid-{F}(V2,V3,V4) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #204: exists( #75, #202 ), references = 1, size of lhs = 3:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1), P_v_x-{F}(V2) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #206: exists( #74, #203 ), references = 1, size of lhs = 2:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0), P_tc_Com_Ocom-{F}(V1) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #208: exists( #71, #205 ), references = 1, size of lhs = 1:
% 0.90/1.16 P_c_Com_Ocom_OSKIP-{F}(V0) | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 #210: exists( #56, #207 ), references = 1, size of lhs = 0:
% 0.90/1.16 FALSE | FALSE
% 0.90/1.16 (used 0 times, uses = {})
% 0.90/1.16
% 0.90/1.16 number of learnt formulas = 25
% 0.90/1.16
% 0.90/1.16
% 0.90/1.16 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/1.16
% 0.90/1.16 randbase = 1
%------------------------------------------------------------------------------