TSTP Solution File: SWV904-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV904-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n013.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 06:22:21 EDT 2022

% Result   : Unsatisfiable 0.19s 0.39s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV904-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n013.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 15:55:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.39  GeoParameters:
% 0.19/0.39  
% 0.19/0.39  tptp_input =     1
% 0.19/0.39  tptp_output =    0
% 0.19/0.39  nonempty =       1
% 0.19/0.39  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39  
% 0.19/0.39  RuleSystem INPUT:
% 0.19/0.39  
% 0.19/0.39  Initial Rules:
% 0.19/0.39  #0: input, references = 3, size of lhs = 2:
% 0.19/0.39     P_c_Option_Ooption_ONone-{F}(V0,V3), P_c_Option_Ooption_OSome-{F}(V1,V0,V3) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #1: input, references = 3, size of lhs = 2:
% 0.19/0.39     P_c_Option_Ooption_ONone-{F}(V0,V3), P_c_Option_Ooption_OSome-{F}(V1,V0,V3) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #2: input, references = 3, size of lhs = 2:
% 0.19/0.39     P_c_Option_Ooption_OSome-{F}(V1,V0,V3), P_c_Option_Ooption_ONone-{F}(V0,V3) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #3: input, references = 3, size of lhs = 2:
% 0.19/0.39     P_c_Option_Ooption_OSome-{F}(V1,V0,V3), P_c_Option_Ooption_ONone-{F}(V0,V3) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #4: input, references = 3, size of lhs = 5:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OBODY-{F}(V2,V3), P_c_Com_Obody-{F}(V2,V4), V4 == V1 | c_Com_OWT-{T}(V3)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #5: input, references = 4, size of lhs = 4:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Com_Ocom_OBODY-{F}(V3,V2) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #6: input, references = 4, size of lhs = 5:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Com_Ocom_OBODY-{F}(V3,V7), P_c_Com_Ocom_OSemi-{F}(V4,V5,V7) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #7: input, references = 3, size of lhs = 5:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Com_Ocom_OSemi-{F}(V4,V5,V7), P_c_Com_Ocom_OBODY-{F}(V3,V7) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #8: input, references = 3, size of lhs = 6:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Com_Ocom_OBODY-{F}(V4,V6), P_c_Com_Ocom_OBODY-{F}(V3,V6), V4 == V3 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #9: input, references = 3, size of lhs = 4:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V4), P_c_Com_Ocom_OBODY-{F}(V3,V4) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #10: input, references = 3, size of lhs = 9:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Com_Obody-{F}(V3,V4), P_c_Com_Osko__Com__XWTs__elim__cases__7__1-{F}(V3,V5), P_c_Option_Ooption_OSome-{F}(V5,V0,V6), P_c_Com_Ocom_OBODY-{F}(V3,V7), c_Com_OWT-{F}(V7), V4 == V6 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #11: input, references = 3, size of lhs = 6:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Com_Ocom_OSemi-{F}(V6,V3,V8), P_c_Com_Ocom_OSemi-{F}(V5,V4,V8), V3 == V4 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #12: input, references = 3, size of lhs = 6:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Com_Ocom_OSemi-{F}(V3,V6,V8), P_c_Com_Ocom_OSemi-{F}(V4,V5,V8), V3 == V4 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #13: input, references = 3, size of lhs = 6:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Option_Ooption_OSome-{F}(V4,V5,V7), P_c_Option_Ooption_OSome-{F}(V3,V5,V7), V4 == V3 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #14: input, references = 4, size of lhs = 4:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Com_Ocom_OSemi-{F}(V3,V4,V2) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #15: input, references = 3, size of lhs = 4:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V5), P_c_Com_Ocom_OSemi-{F}(V3,V4,V5) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #16: input, references = 3, size of lhs = 6:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), c_Com_OWT__bodies-{F}(), P_c_Option_Ooption_OSome-{F}(V3,V0,V4), P_c_Com_Obody-{F}(V5,V4) | c_Com_OWT-{T}(V3)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #17: input, references = 3, size of lhs = 6:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), c_Com_OWT-{F}(V3), P_c_Com_Ocom_OSemi-{F}(V4,V3,V5), c_Com_OWT-{F}(V4) | c_Com_OWT-{T}(V5)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #18: input, references = 3, size of lhs = 5:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Com_Ocom_OSemi-{F}(V3,V4,V5), c_Com_OWT-{F}(V5) | c_Com_OWT-{T}(V3)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #19: input, references = 3, size of lhs = 5:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), P_c_Com_Ocom_OSemi-{F}(V4,V3,V5), c_Com_OWT-{F}(V5) | c_Com_OWT-{T}(V3)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #20: input, references = 4, size of lhs = 6:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(V2), 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), c_Hoare__Mirabelle_Ostate__not__singleton-{F}() | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #21: input, references = 6, size of lhs = 8:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(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), #-{F} V5, #-{F} V6, V5 == V6 | c_Hoare__Mirabelle_Ostate__not__singleton-{T}()
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #22: input, references = 3, size of lhs = 7:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(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), c_Hoare__Mirabelle_Ostate__not__singleton-{F}(), P_v_sko__Hoare__Mirabelle__Xsingle__stateE__1-{F}(V5,V5) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #23: input, references = 3, size of lhs = 5:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(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) | c_Com_OWT-{T}(V2)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #24: input, references = 4, size of lhs = 8:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(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}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V6), c_Hoare__Mirabelle_Ostate__not__singleton-{F}() | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #25: input, references = 4, size of lhs = 7:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(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) | c_Hoare__Mirabelle_Ostate__not__singleton-{T}()
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #26: input, references = 3, size of lhs = 7:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(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) | c_Com_OWT__bodies-{T}()
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #27: input, references = 3, size of lhs = 8:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(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) | c_Com_OWT-{T}(V7)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #28: input, references = 5, size of lhs = 9:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Com_Ocom_OSKIP-{F}(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), c_Hoare__Mirabelle_Ostate__not__singleton-{F}() | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #29: input, references = 9, size of lhs = 1:
% 0.19/0.39     #-{F} V0 | EXISTS V1: P_c_Option_Ooption_ONone-{T}(V0,V1)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #30: input, references = 3, size of lhs = 2:
% 0.19/0.39     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Option_Ooption_OSome-{T}(V0,V1,V2)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #31: input, references = 3, size of lhs = 1:
% 0.19/0.39     #-{F} V0 | EXISTS V1: P_c_Com_Ocom_OBODY-{T}(V0,V1)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #32: input, references = 3, size of lhs = 1:
% 0.19/0.39     #-{F} V0 | EXISTS V1: P_c_Com_Obody-{T}(V0,V1)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #33: input, references = 4, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_tc_Com_Ocom-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #34: input, references = 4, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_c_Com_Ocom_OSKIP-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #35: input, references = 3, size of lhs = 2:
% 0.19/0.39     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Com_Ocom_OSemi-{T}(V0,V1,V2)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #36: input, references = 3, size of lhs = 1:
% 0.19/0.39     #-{F} V0 | EXISTS V1: P_c_Com_Osko__Com__XWTs__elim__cases__7__1-{T}(V0,V1)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #37: input, references = 4, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #38: input, references = 4, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #39: input, references = 3, size of lhs = 1:
% 0.19/0.39     #-{F} V0 | EXISTS V1: P_v_sko__Hoare__Mirabelle__Xsingle__stateE__1-{T}(V0,V1)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #40: input, references = 4, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #41: input, references = 4, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #42: input, references = 4, size of lhs = 0:
% 0.19/0.39     FALSE | EXISTS V0: P_v_c-{T}(V0)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  number of initial rules = 43
% 0.19/0.39  
% 0.19/0.39  Simplifiers:
% 0.19/0.39  #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_c_Option_Ooption_ONone-{F}(V0,V1), P_c_Option_Ooption_ONone-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #44: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_c_Option_Ooption_OSome-{F}(V0,V1,V2), P_c_Option_Ooption_OSome-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #45: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_c_Com_Ocom_OBODY-{F}(V0,V1), P_c_Com_Ocom_OBODY-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #46: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_c_Com_Obody-{F}(V0,V1), P_c_Com_Obody-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #47: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_tc_Com_Ocom-{F}(V1), V0 == V1 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #48: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_c_Com_Ocom_OSKIP-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), V0 == V1 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #49: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_c_Com_Ocom_OSemi-{F}(V0,V1,V2), P_c_Com_Ocom_OSemi-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #50: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     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
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #51: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     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
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #52: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     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
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #53: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     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
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #54: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     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
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #55: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     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
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #56: unsound, references = 3, size of lhs = 3:
% 0.19/0.39     P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  number of simplifiers = 14
% 0.19/0.39  
% 0.19/0.39  Learnt:
% 0.19/0.39  #59: exists( #29, #6 ), references = 1, size of lhs = 4:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_c_Com_Ocom_OBODY-{F}(V2,V3), P_c_Com_Ocom_OSemi-{F}(V4,V5,V3) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #69: mergings( V2 == V5, V3 == V6, V4 == V6; #63 ), references = 1, size of lhs = 5:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V2), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V2), #-{F} V3 | P_c_Option_Ooption_ONone-{T}(V0,V3)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #74: exists( #29, #5 ), references = 1, size of lhs = 3:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_c_Com_Ocom_OBODY-{F}(V2,V1) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #77: exists( #29, #14 ), references = 1, size of lhs = 3:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_c_Com_Ocom_OSemi-{F}(V2,V3,V1) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #85: mergings( V2 == V5, V3 == V6, V4 == V7; #80 ), references = 1, size of lhs = 7:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V2), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V4), #-{F} V5 | P_c_Option_Ooption_ONone-{T}(V0,V5)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #95: mergings( V2 == V5, V3 == V6, V4 == V7; #90 ), references = 1, size of lhs = 8:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V2), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V5), P_v_c-{F}(V6), #-{F} V7 | P_c_Option_Ooption_ONone-{T}(V0,V7)
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #112: mergings( V1 == V4, V4 == V9, V9 == V15, V2 == V5, V5 == V10, V10 == V16, V3 == V6, V6 == V11, V11 == V17, V7 == V12, V12 == V18, V8 == V13, V13 == V19; #98 ), references = 1, size of lhs = 6:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V2), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V5) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #125: mergings( V1 == V4, V4 == V8, V8 == V13, V2 == V5, V5 == V9, V9 == V14, V3 == V6, V6 == V10, V10 == V15, V7 == V11, V11 == V16; #113 ), references = 1, size of lhs = 5:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V2), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V3), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{F}(V4) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #136: mergings( V1 == V4, V4 == V7, V7 == V11, V2 == V5, V5 == V8, V8 == V12, V3 == V6, V6 == V9, V9 == V13; #126 ), references = 1, size of lhs = 4:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V2), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V3) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #144: mergings( V1 == V3, V3 == V5, V5 == V8, V2 == V4, V4 == V6, V6 == V9; #137 ), references = 1, size of lhs = 3:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{F}(V2) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #149: mergings( V1 == V2, V2 == V3, V3 == V5; #145 ), references = 1, size of lhs = 2:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0), P_c_Com_Ocom_OSKIP-{F}(V1) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #151: exists( #34, #145 ), references = 1, size of lhs = 1:
% 0.19/0.39     P_tc_Com_Ocom-{F}(V0) | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  #153: exists( #33, #150 ), references = 1, size of lhs = 0:
% 0.19/0.39     FALSE | FALSE
% 0.19/0.39        (used 0 times, uses = {})
% 0.19/0.39  
% 0.19/0.39  number of learnt formulas = 13
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39  
% 0.19/0.39  randbase = 1
%------------------------------------------------------------------------------