TSTP Solution File: LCL433-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL433-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n008.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 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL433-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Jul 22 22:01:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.58  GeoParameters:
% 0.20/0.58  
% 0.20/0.58  tptp_input =     1
% 0.20/0.58  tptp_output =    0
% 0.20/0.58  nonempty =       1
% 0.20/0.58  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.20/0.58  
% 0.20/0.58  
% 0.20/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58  
% 0.20/0.58  RuleSystem INPUT:
% 0.20/0.58  
% 0.20/0.58  Initial Rules:
% 0.20/0.58  #0: input, references = 4, size of lhs = 6:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_insert-{F}(V0,V1,V3,V4), P_v_xa-{F}(V5) | c_PropLog_Osat-{T}(V4,V5,V2)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #1: input, references = 5, size of lhs = 8:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_insert-{F}(V0,V1,V3,V4), P_v_xa-{F}(V5), P_c_PropLog_Othms-{F}(V4,V2,V6), c_in-{F}(V5,V6,V3) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #2: input, references = 4, size of lhs = 9:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_insert-{F}(V0,V1,V3,V4), P_v_xa-{F}(V5), P_c_PropLog_Othms-{F}(V4,V2,V6), P_c_PropLog_Othms-{F}(V1,V2,V7), c_PropLog_Osat-{F}(V1,V8,V2) | c_in-{T}(V8,V7,V3)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #3: input, references = 4, size of lhs = 12:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_insert-{F}(V0,V1,V3,V4), P_v_xa-{F}(V5), P_c_PropLog_Othms-{F}(V4,V2,V6), P_c_PropLog_Othms-{F}(V1,V2,V7), P_tc_PropLog_Opl-{F}(V10,V12), P_c_insert-{F}(V8,V9,V12,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V8,V11,V10,V14), c_PropLog_Osat-{F}(V13,V11,V10) | c_PropLog_Osat-{T}(V9,V14,V10)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #4: input, references = 5, size of lhs = 11:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_insert-{F}(V0,V1,V3,V4), P_v_xa-{F}(V5), P_c_PropLog_Othms-{F}(V4,V2,V6), P_c_PropLog_Othms-{F}(V1,V2,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)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #5: input, references = 4, size of lhs = 13:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_insert-{F}(V0,V1,V3,V4), P_v_xa-{F}(V5), P_c_PropLog_Othms-{F}(V4,V2,V6), P_c_PropLog_Othms-{F}(V1,V2,V7), P_c_PropLog_Othms-{F}(V8,V9,V11), P_tc_PropLog_Opl-{F}(V9,V12), P_c_PropLog_Opl_Oop_A_N_62-{F}(V13,V10,V9,V14), c_in-{F}(V13,V11,V12), c_in-{F}(V14,V11,V12) | c_in-{T}(V10,V11,V12)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #6: input, references = 4, size of lhs = 13:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_insert-{F}(V0,V1,V3,V4), P_v_xa-{F}(V5), P_c_PropLog_Othms-{F}(V4,V2,V6), P_c_PropLog_Othms-{F}(V1,V2,V7), P_c_PropLog_Othms-{F}(V10,V9,V11), P_tc_PropLog_Opl-{F}(V9,V12), c_in-{F}(V8,V11,V12), P_c_insert-{F}(V13,V10,V12,V14), P_c_PropLog_Othms-{F}(V14,V9,V15) | c_in-{T}(V8,V15,V12)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #7: input, references = 5, size of lhs = 9:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_c_insert-{F}(V0,V1,V3,V4), P_v_xa-{F}(V5), P_c_PropLog_Othms-{F}(V4,V2,V6), P_c_PropLog_Othms-{F}(V1,V2,V7), P_c_insert-{F}(V9,V10,V8,V11) | c_in-{T}(V9,V11,V8)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #8: input, references = 5, size of lhs = 3:
% 0.20/0.58     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #9: input, references = 4, size of lhs = 0:
% 0.20/0.58     FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #10: input, references = 4, size of lhs = 0:
% 0.20/0.58     FALSE | EXISTS V0: P_v_F-{T}(V0)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #11: input, references = 5, size of lhs = 1:
% 0.20/0.58     #-{F} V0 | EXISTS V1: P_tc_PropLog_Opl-{T}(V0,V1)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #12: input, references = 4, size of lhs = 0:
% 0.20/0.58     FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #13: input, references = 4, size of lhs = 0:
% 0.20/0.58     FALSE | EXISTS V0: P_v_xa-{T}(V0)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #14: input, references = 7, size of lhs = 2:
% 0.20/0.58     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_PropLog_Othms-{T}(V0,V1,V2)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #15: input, references = 4, size of lhs = 3:
% 0.20/0.58     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_PropLog_Opl_Oop_A_N_62-{T}(V0,V1,V2,V3)
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  number of initial rules = 16
% 0.20/0.58  
% 0.20/0.58  Simplifiers:
% 0.20/0.58  #16: unsound, references = 3, size of lhs = 3:
% 0.20/0.58     c_PropLog_Osat-{F}(V0,V1,V2), c_PropLog_Osat-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #17: unsound, references = 3, size of lhs = 3:
% 0.20/0.58     P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #18: unsound, references = 3, size of lhs = 3:
% 0.20/0.58     P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #19: unsound, references = 3, size of lhs = 3:
% 0.20/0.58     P_v_F-{F}(V0), P_v_F-{F}(V1), V0 == V1 | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #20: unsound, references = 3, size of lhs = 3:
% 0.20/0.58     P_tc_PropLog_Opl-{F}(V0,V1), P_tc_PropLog_Opl-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #21: unsound, references = 3, size of lhs = 3:
% 0.20/0.58     P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #22: unsound, references = 3, size of lhs = 3:
% 0.20/0.58     P_v_xa-{F}(V0), P_v_xa-{F}(V1), V0 == V1 | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #23: unsound, references = 3, size of lhs = 3:
% 0.20/0.58     P_c_PropLog_Othms-{F}(V0,V1,V2), P_c_PropLog_Othms-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #24: unsound, references = 3, size of lhs = 3:
% 0.20/0.58     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
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  number of simplifiers = 9
% 0.20/0.58  
% 0.20/0.58  Learnt:
% 0.20/0.58  #39: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V10 == V15, V6 == V11, V11 == V16, V7 == V12; #29 ), references = 1, size of lhs = 8:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_c_insert-{F}(V0,V1,V4,V5), P_v_xa-{F}(V6), P_c_insert-{F}(V6,V7,V4,V5) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #44: mergings( V4 == V5, V5 == V0, V7 == V8; #40 ), references = 1, size of lhs = 6:
% 0.20/0.58     P_v_x-{F}(V0), P_v_xa-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #48: mergings( V3 == V4, V4 == V5; #45 ), references = 1, size of lhs = 5:
% 0.20/0.58     P_v_x-{F}(V0), P_v_xa-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #52: mergings( V2 == V3, V3 == V4; #49 ), references = 1, size of lhs = 4:
% 0.20/0.58     P_v_x-{F}(V0), P_v_xa-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #93: mergings( V3 == V8, V8 == V13, V13 == V18, V18 == V24, V24 == V29, V29 == V34, V4 == V9, V9 == V14, V14 == V19, V19 == V25, V25 == V30, V30 == V35, V5 == V10, V10 == V15, V15 == V20, V20 == V26, V26 == V31, V31 == V21, V6 == V11, V11 == V16, V16 == V22, V22 == V27, V27 == V32, V32 == V36, V7 == V12, V12 == V17, V17 == V23, V23 == V28, V28 == V33; #63 ), references = 1, size of lhs = 14:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_c_insert-{F}(V0,V1,V4,V5), P_v_xa-{F}(V6), P_c_PropLog_Othms-{F}(V7,V2,V3), P_c_insert-{F}(V8,V7,V4,V5), P_c_insert-{F}(V9,V10,V4,V5), P_c_PropLog_Opl_Oop_A_N_62-{F}(V9,V6,V2,V11), P_c_insert-{F}(V12,V1,V4,V13), P_c_PropLog_Opl_Oop_A_N_62-{F}(V12,V14,V2,V11), c_PropLog_Osat-{F}(V13,V14,V2) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #124: mergings( V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V24 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V1, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36; #94 ), references = 1, size of lhs = 12:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_c_PropLog_Othms-{F}(V1,V2,V3), P_tc_PropLog_Opl-{F}(V2,V4), P_c_insert-{F}(V0,V1,V4,V5), P_v_xa-{F}(V6), P_c_PropLog_Othms-{F}(V7,V2,V3), P_c_insert-{F}(V8,V7,V4,V5), c_PropLog_Osat-{F}(V9,V6,V2), P_c_insert-{F}(V10,V1,V4,V9), P_c_insert-{F}(V10,V11,V4,V5) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #138: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V17, V11 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V14; #126 ), references = 1, size of lhs = 6:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_xa-{F}(V4), P_c_PropLog_Othms-{F}(V1,V2,V5) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #146: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11; #139 ), references = 1, size of lhs = 5:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_tc_PropLog_Opl-{F}(V2,V3), P_v_xa-{F}(V4) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #154: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10; #147 ), references = 1, size of lhs = 4:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2), P_v_xa-{F}(V3) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #156: exists( #13, #147 ), references = 1, size of lhs = 3:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #158: exists( #12, #155 ), references = 1, size of lhs = 2:
% 0.20/0.58     P_v_x-{F}(V0), P_v_F-{F}(V1) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #160: exists( #10, #157 ), references = 1, size of lhs = 1:
% 0.20/0.58     P_v_x-{F}(V0) | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  #162: exists( #9, #159 ), references = 1, size of lhs = 0:
% 0.20/0.58     FALSE | FALSE
% 0.20/0.58        (used 0 times, uses = {})
% 0.20/0.58  
% 0.20/0.58  number of learnt formulas = 13
% 0.20/0.58  
% 0.20/0.58  
% 0.20/0.58  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58  
% 0.20/0.58  randbase = 1
%------------------------------------------------------------------------------