TSTP Solution File: LAT278-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT278-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n018.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 06:08:11 EDT 2022

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LAT278-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n018.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 20:25:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  GeoParameters:
% 0.12/0.36  
% 0.12/0.36  tptp_input =     1
% 0.12/0.36  tptp_output =    0
% 0.12/0.36  nonempty =       1
% 0.12/0.36  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  RuleSystem INPUT:
% 0.12/0.36  
% 0.12/0.36  Initial Rules:
% 0.12/0.36  #0: input, references = 4, size of lhs = 4:
% 0.12/0.36     P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), c_Relation_Orefl-{F}(V0,V1,V2) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #1: input, references = 4, size of lhs = 7:
% 0.12/0.36     P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_v_cl-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_Opotype_Opset-{F}(V3,V2,V4,V5), V0 == V5 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #2: input, references = 4, size of lhs = 11:
% 0.12/0.36     P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_v_cl-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_Opotype_Opset-{F}(V3,V2,V4,V5), P_c_Tarski_OPartialOrder-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V8,V4,V9), P_c_Tarski_Opotype_Opset-{F}(V7,V8,V4,V10), P_c_Tarski_Opotype_Oorder-{F}(V7,V8,V4,V11), c_in-{F}(V7,V6,V9) | c_Relation_Orefl-{T}(V10,V11,V8)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #3: input, references = 4, size of lhs = 8:
% 0.12/0.36     P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_v_cl-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_Opotype_Opset-{F}(V3,V2,V4,V5), P_c_Tarski_OPartialOrder-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V4,V7) | c_in-{T}(V3,V6,V7)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #4: input, references = 4, size of lhs = 10:
% 0.12/0.36     P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_v_cl-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_Opotype_Opset-{F}(V3,V2,V4,V5), P_c_Tarski_OPartialOrder-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V4,V7), P_c_Tarski_Opotype_Oorder-{F}(V3,V2,V4,V8), V1 == V8 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #5: input, references = 4, size of lhs = 0:
% 0.12/0.36     FALSE | EXISTS V0: P_v_A-{T}(V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #6: input, references = 4, size of lhs = 0:
% 0.12/0.36     FALSE | EXISTS V0: P_v_r-{T}(V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #7: input, references = 4, size of lhs = 0:
% 0.12/0.36     FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #8: input, references = 4, size of lhs = 3:
% 0.12/0.36     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Opset-{T}(V0,V1,V2,V3)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #9: input, references = 4, size of lhs = 0:
% 0.12/0.36     FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #10: input, references = 4, size of lhs = 0:
% 0.12/0.36     FALSE | EXISTS V0: P_tc_Product__Type_Ounit-{T}(V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #11: input, references = 4, size of lhs = 0:
% 0.12/0.36     FALSE | EXISTS V0: P_c_Tarski_OPartialOrder-{T}(V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #12: input, references = 4, size of lhs = 2:
% 0.12/0.36     #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_Tarski_Opotype_Opotype__ext__type-{T}(V0,V1,V2)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #13: input, references = 4, size of lhs = 3:
% 0.12/0.36     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Tarski_Opotype_Oorder-{T}(V0,V1,V2,V3)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  number of initial rules = 14
% 0.12/0.36  
% 0.12/0.36  Simplifiers:
% 0.12/0.36  #14: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #15: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #16: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     P_v_A-{F}(V0), P_v_A-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #18: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Opset-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     P_tc_Product__Type_Ounit-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     P_c_Tarski_OPartialOrder-{F}(V0), P_c_Tarski_OPartialOrder-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V0,V1,V2), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V3), P_c_Tarski_Opotype_Oorder-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  number of simplifiers = 11
% 0.12/0.36  
% 0.12/0.36  Learnt:
% 0.12/0.36  #26: exists( #13, #4 ), references = 2, size of lhs = 8:
% 0.12/0.36     P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_v_cl-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4), P_c_Tarski_Opotype_Opset-{F}(V3,V2,V4,V5), P_c_Tarski_OPartialOrder-{F}(V6), P_tc_Tarski_Opotype_Opotype__ext__type-{F}(V2,V4,V7) | P_c_Tarski_Opotype_Oorder-{T}(V3,V2,V4,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #31: exists( #8, #1 ), references = 1, size of lhs = 5:
% 0.12/0.36     P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2), P_v_cl-{F}(V3), P_tc_Product__Type_Ounit-{F}(V4) | P_c_Tarski_Opotype_Opset-{T}(V3,V2,V4,V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #47: mergings( V3 == V5, V5 == V9, V9 == V15, V4 == V10, V10 == V16, V11 == V0, V15 == V7, V7 == V17, V6 == V12, V13 == V17, V8 == V14; #35 ), references = 1, size of lhs = 7:
% 0.12/0.36     P_v_cl-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), P_c_Tarski_OPartialOrder-{F}(V2), P_v_A-{F}(V3), P_v_r-{F}(V4), P_t_a-{F}(V5), P_c_Tarski_Opotype_Opset-{F}(V0,V5,V1,V3) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #59: mergings( V1 == V3, V3 == V5, V5 == V11, V2 == V6, V6 == V12, V7 == V13, V11 == V14, V14 == V15, V4 == V8, V10 == V15; #48 ), references = 1, size of lhs = 6:
% 0.12/0.36     P_v_cl-{F}(V0), P_tc_Product__Type_Ounit-{F}(V1), P_v_A-{F}(V2), P_v_r-{F}(V3), P_t_a-{F}(V4), P_c_Tarski_Opotype_Opset-{F}(V0,V4,V1,V2) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #68: mergings( V2 == V4, V4 == V5, V5 == V8, V1 == V3, V3 == V6, V6 == V9; #61 ), references = 1, size of lhs = 4:
% 0.12/0.36     P_v_cl-{F}(V0), P_v_A-{F}(V1), P_v_r-{F}(V2), P_t_a-{F}(V3) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #76: mergings( V2 == V4, V4 == V5, V5 == V7, V1 == V3, V3 == V6, V6 == V8; #69 ), references = 1, size of lhs = 3:
% 0.12/0.36     P_v_A-{F}(V0), P_v_r-{F}(V1), P_t_a-{F}(V2) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #84: mergings( V2 == V4, V4 == V5, V5 == V7, V1 == V3, V3 == V6, V6 == V8; #77 ), references = 1, size of lhs = 2:
% 0.12/0.36     P_v_A-{F}(V0), P_v_r-{F}(V1) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #89: mergings( V1 == V2, V2 == V3, V3 == V4; #85 ), references = 1, size of lhs = 1:
% 0.12/0.36     P_v_A-{F}(V0) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #91: exists( #5, #85 ), references = 1, size of lhs = 0:
% 0.12/0.36     FALSE | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  number of learnt formulas = 9
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  randbase = 1
%------------------------------------------------------------------------------