TSTP Solution File: LCL434-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL434-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n014.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 06:09:17 EDT 2022

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL434-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n014.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 22:05:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  GeoParameters:
% 0.19/0.46  
% 0.19/0.46  tptp_input =     1
% 0.19/0.46  tptp_output =    0
% 0.19/0.46  nonempty =       1
% 0.19/0.46  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  
% 0.19/0.46  RuleSystem INPUT:
% 0.19/0.46  
% 0.19/0.46  Initial Rules:
% 0.19/0.46  #0: input, references = 4, size of lhs = 6:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_c_insert-{F}(V1,V2,V4,V5) | c_in-{T}(V0,V5,V4)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #1: input, references = 6, size of lhs = 9:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_c_insert-{F}(V1,V2,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V3,V6), P_c_PropLog_Othms-{F}(V2,V3,V7), c_in-{F}(V6,V7,V4) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #2: input, references = 4, size of lhs = 11:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_c_insert-{F}(V1,V2,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V3,V6), P_c_PropLog_Othms-{F}(V2,V3,V7), P_tc_PropLog_Opl-{F}(V10,V11), P_c_PropLog_Othms-{F}(V9,V10,V12), c_in-{F}(V8,V9,V11) | c_in-{T}(V8,V12,V11)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #3: input, references = 4, size of lhs = 11:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_c_insert-{F}(V1,V2,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V3,V6), P_c_PropLog_Othms-{F}(V2,V3,V7), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V8,V10,V11), P_c_PropLog_Othms-{F}(V9,V10,V12), P_tc_PropLog_Opl-{F}(V10,V13) | c_in-{T}(V11,V12,V13)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #4: input, references = 5, size of lhs = 12:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_c_insert-{F}(V1,V2,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V3,V6), P_c_PropLog_Othms-{F}(V2,V3,V7), P_c_PropLog_Othms-{F}(V8,V9,V11), P_tc_PropLog_Opl-{F}(V9,V12), c_in-{F}(V10,V11,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V10,V9,V14) | c_in-{T}(V14,V11,V12)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #5: input, references = 4, size of lhs = 11:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_c_insert-{F}(V1,V2,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V3,V6), P_c_PropLog_Othms-{F}(V2,V3,V7), P_c_insert-{F}(V9,V10,V11,V12), c_in-{F}(V8,V12,V11), V8 == V9 | c_in-{T}(V8,V10,V11)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #6: input, references = 4, size of lhs = 0:
% 0.19/0.46     FALSE | EXISTS V0: P_v_pa-{T}(V0)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #7: input, references = 5, size of lhs = 3:
% 0.19/0.46     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #8: input, references = 4, size of lhs = 0:
% 0.19/0.46     FALSE | EXISTS V0: P_v_p-{T}(V0)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #9: input, references = 5, size of lhs = 0:
% 0.19/0.46     FALSE | EXISTS V0: P_v_H-{T}(V0)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #10: input, references = 5, size of lhs = 1:
% 0.19/0.46     #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #11: input, references = 5, size of lhs = 0:
% 0.19/0.46     FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #12: input, references = 6, size of lhs = 3:
% 0.19/0.46     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #13: input, references = 5, size of lhs = 2:
% 0.19/0.46     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  number of initial rules = 14
% 0.19/0.46  
% 0.19/0.46  Simplifiers:
% 0.19/0.46  #14: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_pa-{F}(V1), V0 == V1 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #15: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #16: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_v_p-{F}(V0), P_v_p-{F}(V1), V0 == V1 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #17: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V1,V2,V3), P_c_PropLog_Opl_Oop_A_N_62-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.46     P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  number of simplifiers = 8
% 0.19/0.46  
% 0.19/0.46  Learnt:
% 0.19/0.46  #29: mergings( V4 == V8, V5 == V9, V6 == V11, V7 == V13; #24 ), references = 1, size of lhs = 10:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Opl_Oop_A_N_62-{F}(V1,V0,V3,V6), P_c_PropLog_Opl_Oop_A_N_62-{F}(V7,V7,V5,V6), P_c_PropLog_Othms-{F}(V2,V3,V8), P_c_PropLog_Othms-{F}(V9,V5,V8) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #32: mergings( V5 == V6; #30 ), references = 1, size of lhs = 7:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_PropLog_Othms-{F}(V1,V2,V4), P_c_PropLog_Othms-{F}(V5,V2,V4) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #34: exists( #13, #30 ), references = 1, size of lhs = 5:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #36: exists( #10, #33 ), references = 1, size of lhs = 4:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V0), P_v_H-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #38: exists( #11, #35 ), references = 1, size of lhs = 3:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V0), P_v_H-{F}(V1) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #40: exists( #9, #37 ), references = 2, size of lhs = 2:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V0) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #52: mergings( V4 == V8, V8 == V12, V5 == V9, V6 == V10, V9 == V13, V10 == V15, V7 == V11, V11 == V16; #43 ), references = 2, size of lhs = 11:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_insert-{F}(V1,V2,V4,V6), P_c_PropLog_Othms-{F}(V2,V3,V7), P_c_PropLog_Othms-{F}(V8,V5,V7), c_in-{F}(V0,V8,V4), P_c_PropLog_Othms-{F}(V9,V3,V7) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #62: mergings( V4 == V8, V5 == V9, V6 == V10, V7 == V11; #56 ), references = 1, size of lhs = 9:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_c_insert-{F}(V1,V2,V4,V5), P_c_PropLog_Othms-{F}(V2,V3,V6), c_in-{F}(V0,V6,V4), P_c_PropLog_Othms-{F}(V7,V3,V6) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #70: mergings( V1 == V8, V0 == V9, V4 == V10, V2 == V11, V5 == V12, V6 == V14, V7 == V15; #57 ), references = 1, size of lhs = 13:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_insert-{F}(V1,V2,V4,V6), P_c_PropLog_Othms-{F}(V2,V3,V7), P_c_PropLog_Othms-{F}(V8,V5,V7), P_c_PropLog_Othms-{F}(V9,V3,V7), c_in-{F}(V0,V10,V4), P_c_insert-{F}(V11,V8,V4,V10), V0 == V11 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #78: mergings( V5 == V8, V4 == V6, V6 == V9, V7 == V11; #73 ), references = 1, size of lhs = 10:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), V0 == V1, P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4), P_tc_PropLog_Opl-{F}(V5,V4), P_c_PropLog_Othms-{F}(V2,V3,V6), P_c_PropLog_Othms-{F}(V2,V5,V6), P_c_PropLog_Othms-{F}(V7,V3,V6) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #82: mergings( V5 == V6, V3 == V1; #79 ), references = 1, size of lhs = 6:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), V0 == V1, P_v_H-{F}(V2), P_t_a-{F}(V3), P_tc_PropLog_Opl-{F}(V3,V4) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #85: mergings( V2 == V3; #83 ), references = 1, size of lhs = 5:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), V0 == V1, P_v_H-{F}(V2), P_t_a-{F}(V3) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #88: mergings( V1 == V2; #86 ), references = 1, size of lhs = 4:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), V0 == V1, P_v_H-{F}(V2) | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #91: mergings( V1 == V2; #89 ), references = 1, size of lhs = 3:
% 0.19/0.46     P_v_pa-{F}(V0), P_v_p-{F}(V1), V0 == V1 | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #94: mergings( V1 == V2; #92 ), references = 1, size of lhs = 1:
% 0.19/0.46     P_v_pa-{F}(V0) | P_v_p-{T}(V0)
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  #97: exists( #6, #95 ), references = 1, size of lhs = 0:
% 0.19/0.46     FALSE | FALSE
% 0.19/0.46        (used 0 times, uses = {})
% 0.19/0.46  
% 0.19/0.46  number of learnt formulas = 16
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  
% 0.19/0.46  randbase = 1
%------------------------------------------------------------------------------