TSTP Solution File: LAT272-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT272-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n003.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 06:08:10 EDT 2022

% Result   : Unsatisfiable 0.19s 0.36s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT272-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jul 22 20:07:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.36  GeoParameters:
% 0.19/0.36  
% 0.19/0.36  tptp_input =     1
% 0.19/0.36  tptp_output =    0
% 0.19/0.36  nonempty =       1
% 0.19/0.36  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.36  
% 0.19/0.36  
% 0.19/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36  
% 0.19/0.36  RuleSystem INPUT:
% 0.19/0.36  
% 0.19/0.36  Initial Rules:
% 0.19/0.36  #0: input, references = 4, size of lhs = 4:
% 0.19/0.36     P_v_S-{F}(V0), P_v_cl-{F}(V1), P_v_L-{F}(V2), P_t_a-{F}(V3) | c_Tarski_OisLub-{T}(V0,V1,V2,V3)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #1: input, references = 4, size of lhs = 5:
% 0.19/0.36     P_v_S-{F}(V0), P_v_cl-{F}(V1), P_v_L-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4) | c_in-{T}(V4,V0,V3)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #2: input, references = 4, size of lhs = 9:
% 0.19/0.36     P_v_S-{F}(V0), P_v_cl-{F}(V1), P_v_L-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_c_Pair-{F}(V4,V2,V3,V3,V5), P_v_r-{F}(V6), P_tc_prod-{F}(V3,V3,V7), c_in-{F}(V5,V6,V7) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #3: input, references = 4, size of lhs = 11:
% 0.19/0.36     P_v_S-{F}(V0), P_v_cl-{F}(V1), P_v_L-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_c_Pair-{F}(V4,V2,V3,V3,V5), P_v_r-{F}(V6), P_tc_prod-{F}(V3,V3,V7), P_c_Pair-{F}(V9,V8,V3,V3,V10), c_Tarski_OisLub-{F}(V11,V1,V8,V3), c_in-{F}(V9,V11,V3) | c_in-{T}(V10,V6,V7)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #4: input, references = 4, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_v_S-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #5: input, references = 4, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_v_cl-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #6: input, references = 4, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_v_L-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #7: input, references = 4, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #8: input, references = 4, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #9: input, references = 4, size of lhs = 4:
% 0.19/0.36     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #10: input, references = 4, size of lhs = 0:
% 0.19/0.36     FALSE | EXISTS V0: P_v_r-{T}(V0)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #11: input, references = 4, size of lhs = 2:
% 0.19/0.36     #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  number of initial rules = 12
% 0.19/0.36  
% 0.19/0.36  Simplifiers:
% 0.19/0.36  #12: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     c_Tarski_OisLub-{F}(V0,V1,V2,V3), c_Tarski_OisLub-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #13: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     c_Tarski_OisLub-{F}(V0,V1,V2,V3), c_Tarski_OisLub-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #14: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     c_Tarski_OisLub-{F}(V0,V1,V2,V3), c_Tarski_OisLub-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #15: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     c_Tarski_OisLub-{F}(V0,V1,V2,V3), c_Tarski_OisLub-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #16: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_v_S-{F}(V0), P_v_S-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #17: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_v_cl-{F}(V0), P_v_cl-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_v_L-{F}(V0), P_v_L-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.36     P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  number of simplifiers = 12
% 0.19/0.36  
% 0.19/0.36  Learnt:
% 0.19/0.36  #28: mergings( V4 == V7, V5 == V8; #25 ), references = 1, size of lhs = 9:
% 0.19/0.36     P_v_S-{F}(V0), P_v_cl-{F}(V1), P_v_L-{F}(V2), P_t_a-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_v_x-{F}(V5), P_v_r-{F}(V6), c_Tarski_OisLub-{F}(V7,V1,V2,V3), c_in-{F}(V5,V7,V3) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #32: mergings( V2 == V4, V3 == V5; #29 ), references = 1, size of lhs = 8:
% 0.19/0.36     P_v_S-{F}(V0), P_v_cl-{F}(V1), P_v_L-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_r-{F}(V5), c_Tarski_OisLub-{F}(V6,V1,V2,V3), c_in-{F}(V4,V6,V3) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #36: mergings( V1 == V3, V2 == V4; #33 ), references = 1, size of lhs = 7:
% 0.19/0.36     P_v_S-{F}(V0), P_v_cl-{F}(V1), P_v_L-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), c_Tarski_OisLub-{F}(V5,V1,V2,V3), c_in-{F}(V4,V5,V3) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #44: mergings( V1 == V4, V4 == V6, V2 == V5, V5 == V7, V3 == V8; #38 ), references = 1, size of lhs = 5:
% 0.19/0.36     P_v_S-{F}(V0), P_v_cl-{F}(V1), P_v_L-{F}(V2), P_t_a-{F}(V3), c_Tarski_OisLub-{F}(V0,V1,V2,V3) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #52: mergings( V1 == V4, V4 == V6, V2 == V5, V5 == V7, V3 == V8; #46 ), references = 1, size of lhs = 3:
% 0.19/0.36     P_v_S-{F}(V0), P_v_cl-{F}(V1), P_v_L-{F}(V2) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #58: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #53 ), references = 1, size of lhs = 2:
% 0.19/0.36     P_v_S-{F}(V0), P_v_cl-{F}(V1) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #62: mergings( V1 == V2, V2 == V3; #59 ), references = 1, size of lhs = 1:
% 0.19/0.36     P_v_S-{F}(V0) | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  #64: exists( #4, #59 ), references = 1, size of lhs = 0:
% 0.19/0.36     FALSE | FALSE
% 0.19/0.36        (used 0 times, uses = {})
% 0.19/0.36  
% 0.19/0.36  number of learnt formulas = 8
% 0.19/0.36  
% 0.19/0.36  
% 0.19/0.36  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36  
% 0.19/0.36  randbase = 1
%------------------------------------------------------------------------------