TSTP Solution File: COL124-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : COL124-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n020.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 05:59:13 EDT 2022

% Result   : Unsatisfiable 0.46s 0.64s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL124-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n020.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 08:06:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.46/0.64  GeoParameters:
% 0.46/0.64  
% 0.46/0.64  tptp_input =     1
% 0.46/0.64  tptp_output =    0
% 0.46/0.64  nonempty =       1
% 0.46/0.64  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.46/0.64  
% 0.46/0.64  
% 0.46/0.64  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64  
% 0.46/0.64  RuleSystem INPUT:
% 0.46/0.64  
% 0.46/0.64  Initial Rules:
% 0.46/0.64  #0: input, references = 5, size of lhs = 9:
% 0.46/0.64     P_tc_Comb_Ocomb-{F}(V0), P_c_Comb_Ocontract-{F}(V1), P_tc_prod-{F}(V0,V0,V2), P_c_Pair-{F}(V3,V4,V0,V0,V5), c_in-{F}(V5,V1,V2), P_v_x-{F}(V3,V6,V4,V7), P_c_Pair-{F}(V6,V7,V0,V0,V8), P_c_Pair-{F}(V3,V6,V0,V0,V9), c_in-{F}(V9,V1,V2) | c_in-{T}(V8,V1,V2)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #1: input, references = 6, size of lhs = 6:
% 0.46/0.64     P_tc_Comb_Ocomb-{F}(V0), P_c_Comb_Ocontract-{F}(V1), P_tc_prod-{F}(V0,V0,V2), P_c_Comb_OI-{F}(V3), P_c_Pair-{F}(V3,V4,V0,V0,V5), c_in-{F}(V5,V1,V2) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #2: input, references = 7, size of lhs = 8:
% 0.46/0.64     P_tc_Comb_Ocomb-{F}(V0), P_c_Comb_Ocontract-{F}(V1), P_tc_prod-{F}(V0,V0,V2), P_c_Comb_OI-{F}(V3), P_c_Comb_Ocomb_OK-{F}(V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V7,V6,V8), P_c_Pair-{F}(V8,V5,V0,V0,V9) | c_in-{T}(V9,V1,V2)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #3: input, references = 8, size of lhs = 4:
% 0.46/0.64     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #4: input, references = 4, size of lhs = 3:
% 0.46/0.64     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_v_x-{T}(V0,V1,V2,V3)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #5: input, references = 4, size of lhs = 0:
% 0.46/0.64     FALSE | EXISTS V0: P_tc_Comb_Ocomb-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #6: input, references = 4, size of lhs = 0:
% 0.46/0.64     FALSE | EXISTS V0: P_c_Comb_Ocontract-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #7: input, references = 4, size of lhs = 2:
% 0.46/0.64     #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #8: input, references = 4, size of lhs = 0:
% 0.46/0.64     FALSE | EXISTS V0: P_c_Comb_OI-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #9: input, references = 6, size of lhs = 2:
% 0.46/0.64     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Comb_Ocomb_Oop_A_D_D-{T}(V0,V1,V2)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #10: input, references = 4, size of lhs = 0:
% 0.46/0.64     FALSE | EXISTS V0: P_c_Comb_Ocomb_OK-{T}(V0)
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  number of initial rules = 11
% 0.46/0.64  
% 0.46/0.64  Simplifiers:
% 0.46/0.64  #11: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #12: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #13: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     P_tc_Comb_Ocomb-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #14: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     P_c_Comb_Ocontract-{F}(V0), P_c_Comb_Ocontract-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #15: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #16: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     P_v_x-{F}(V0,V1,V2,V3), P_v_x-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #17: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     P_c_Comb_OI-{F}(V0), P_c_Comb_OI-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #18: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #19: unsound, references = 3, size of lhs = 3:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_c_Comb_Ocomb_OK-{F}(V1), V0 == V1 | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  number of simplifiers = 9
% 0.46/0.64  
% 0.46/0.64  Learnt:
% 0.46/0.64  #23: mergings( V5 == V0; #21 ), references = 1, size of lhs = 7:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Ocontract-{F}(V3), P_c_Comb_OI-{F}(V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V6,V7,V4) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #32: mergings( V2 == V7, V5 == V9; #29 ), references = 1, size of lhs = 10:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Ocontract-{F}(V3), P_c_Comb_OI-{F}(V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V6,V7,V8), P_v_x-{F}(V8,V5,V5,V9), P_c_Pair-{F}(V5,V9,V1,V1,V10), P_c_Pair-{F}(V4,V11,V1,V1,V10) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #38: mergings( V2 == V7, V5 == V9; #35 ), references = 2, size of lhs = 12:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Ocontract-{F}(V3), P_c_Comb_OI-{F}(V4), c_in-{F}(V5,V3,V2), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V7,V8,V9), P_c_Pair-{F}(V9,V10,V1,V1,V5), P_v_x-{F}(V9,V6,V10,V11), P_c_Pair-{F}(V6,V11,V1,V1,V12), P_c_Pair-{F}(V4,V13,V1,V1,V12) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #43: mergings( V5 == V9, V6 == V7; #40 ), references = 2, size of lhs = 12:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Ocontract-{F}(V3), P_c_Comb_OI-{F}(V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V6,V7,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V9,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V8), P_v_x-{F}(V8,V9,V5,V12), P_c_Pair-{F}(V9,V12,V1,V1,V13), P_c_Pair-{F}(V4,V14,V1,V1,V13) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #46: exists( #3, #43 ), references = 1, size of lhs = 10:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Ocontract-{F}(V3), P_c_Comb_OI-{F}(V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V4,V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V7,V8,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V5,V10,V9), P_v_x-{F}(V9,V4,V6,V11) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #48: exists( #4, #44 ), references = 1, size of lhs = 9:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Ocontract-{F}(V3), P_c_Comb_OI-{F}(V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V4,V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V7,V8,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V5,V10,V9) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #50: exists( #9, #47 ), references = 1, size of lhs = 9:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Ocontract-{F}(V3), P_c_Comb_OI-{F}(V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V4,V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V7,V8,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V5,V10,V9) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #52: exists( #9, #49 ), references = 1, size of lhs = 7:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Ocontract-{F}(V3), P_c_Comb_OI-{F}(V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V4,V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V5) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #54: exists( #9, #51 ), references = 1, size of lhs = 5:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Ocontract-{F}(V3), P_c_Comb_OI-{F}(V4) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #56: exists( #7, #53 ), references = 1, size of lhs = 4:
% 0.46/0.64     P_c_Comb_Ocomb_OK-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_c_Comb_Ocontract-{F}(V2), P_c_Comb_OI-{F}(V3) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #58: exists( #10, #55 ), references = 1, size of lhs = 3:
% 0.46/0.64     P_tc_Comb_Ocomb-{F}(V0), P_c_Comb_Ocontract-{F}(V1), P_c_Comb_OI-{F}(V2) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #60: exists( #8, #57 ), references = 1, size of lhs = 2:
% 0.46/0.64     P_tc_Comb_Ocomb-{F}(V0), P_c_Comb_Ocontract-{F}(V1) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #62: exists( #6, #59 ), references = 1, size of lhs = 1:
% 0.46/0.64     P_tc_Comb_Ocomb-{F}(V0) | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  #64: exists( #5, #61 ), references = 1, size of lhs = 0:
% 0.46/0.64     FALSE | FALSE
% 0.46/0.64        (used 0 times, uses = {})
% 0.46/0.64  
% 0.46/0.64  number of learnt formulas = 14
% 0.46/0.64  
% 0.46/0.64  
% 0.46/0.64  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64  
% 0.46/0.64  randbase = 1
%------------------------------------------------------------------------------