TSTP Solution File: SWV817-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV817-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n007.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 06:22:16 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV817-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n007.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 15:34:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  GeoParameters:
% 0.12/0.35  
% 0.12/0.35  tptp_input =     1
% 0.12/0.35  tptp_output =    0
% 0.12/0.35  nonempty =       1
% 0.12/0.35  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.35  
% 0.12/0.35  
% 0.12/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  RuleSystem INPUT:
% 0.12/0.35  
% 0.12/0.35  Initial Rules:
% 0.12/0.35  #0: input, references = 4, size of lhs = 2:
% 0.12/0.35     P_c_Fun_Oid-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #1: input, references = 3, size of lhs = 4:
% 0.12/0.35     P_v_x-{F}(V0), P_t_a-{F}(V1), P_c_Fun_Oid-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #2: input, references = 4, size of lhs = 6:
% 0.12/0.35     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}(V4), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{F}(V4), c_Hoare__Mirabelle_Ostate__not__singleton-{F}() | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #3: input, references = 3, size of lhs = 8:
% 0.12/0.35     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), #-{F} V5, #-{F} V6, V6 == V5 | c_Hoare__Mirabelle_Ostate__not__singleton-{T}()
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #4: input, references = 3, size of lhs = 8:
% 0.12/0.35     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}(V6), P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{F}(V6), c_Hoare__Mirabelle_Ostate__not__singleton-{F}() | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #5: input, references = 4, size of lhs = 7:
% 0.12/0.35     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) | c_Hoare__Mirabelle_Ostate__not__singleton-{T}()
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #6: input, references = 4, size of lhs = 9:
% 0.12/0.35     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), #-{F} V7, V7 == V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #7: input, references = 4, size of lhs = 2:
% 0.12/0.35     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Fun_Oid-{T}(V0,V1,V2)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #8: input, references = 4, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #9: input, references = 5, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #10: input, references = 5, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #11: input, references = 5, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #12: input, references = 5, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #13: input, references = 5, size of lhs = 0:
% 0.12/0.35     FALSE | EXISTS V0: P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of initial rules = 14
% 0.12/0.35  
% 0.12/0.35  Simplifiers:
% 0.12/0.35  #14: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_c_Fun_Oid-{F}(V0,V1,V2), P_c_Fun_Oid-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #15: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #16: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     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
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #18: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     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
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     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
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.35     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
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of simplifiers = 7
% 0.12/0.35  
% 0.12/0.35  Learnt:
% 0.12/0.35  #24: exists( #7, #0 ), references = 3, size of lhs = 2:
% 0.12/0.35     #-{F} V0, #-{F} V1 | P_c_Fun_Oid-{T}(V0,V1,V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #26: exists( #13, #6 ), references = 1, size of lhs = 8:
% 0.12/0.35     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), #-{F} V6, V6 == V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #28: exists( #12, #25 ), references = 1, size of lhs = 7:
% 0.12/0.35     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), #-{F} V5, V5 == V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #30: exists( #11, #27 ), references = 1, size of lhs = 6:
% 0.12/0.35     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), #-{F} V4, V4 == V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #32: exists( #10, #29 ), references = 2, size of lhs = 5:
% 0.12/0.35     P_v_x-{F}(V0), P_t_a-{F}(V1), P_c_Fun_Oid-{F}(V0,V1,V2), #-{F} V3, V3 == V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #35: exists( #9, #33 ), references = 6, size of lhs = 3:
% 0.12/0.35     P_v_x-{F}(V0), #-{F} V1, V1 == V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #37: exists( #8, #34 ), references = 1, size of lhs = 1:
% 0.12/0.35     #-{F} V0 | P_v_x-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #39: exists( #9, #35 ), references = 1, size of lhs = 1:
% 0.12/0.35     P_v_x-{F}(V0) | P_t_a-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #43: exists( #10, #35 ), references = 1, size of lhs = 1:
% 0.12/0.35     P_v_x-{F}(V0) | P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #47: exists( #11, #35 ), references = 1, size of lhs = 1:
% 0.12/0.35     P_v_x-{F}(V0) | P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #51: exists( #12, #35 ), references = 1, size of lhs = 1:
% 0.12/0.35     P_v_x-{F}(V0) | P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #55: exists( #13, #35 ), references = 1, size of lhs = 1:
% 0.12/0.35     P_v_x-{F}(V0) | P_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2-{T}(V0)
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  #72: #24+#36+#38+#40+#44+#48+#52+#5+#2, references = 1, size of lhs = 1:
% 0.12/0.35     #-{F} V0 | FALSE
% 0.12/0.35        (used 0 times, uses = {})
% 0.12/0.35  
% 0.12/0.35  number of learnt formulas = 13
% 0.12/0.35  
% 0.12/0.35  
% 0.12/0.35  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  randbase = 1
%------------------------------------------------------------------------------