TSTP Solution File: COL014-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : COL014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n013.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 05:59:00 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COL014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n013.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 07:53:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.41  GeoParameters:
% 0.19/0.41  
% 0.19/0.41  tptp_input =     1
% 0.19/0.41  tptp_output =    0
% 0.19/0.41  nonempty =       1
% 0.19/0.41  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41  
% 0.19/0.41  RuleSystem INPUT:
% 0.19/0.41  
% 0.19/0.41  Initial Rules:
% 0.19/0.41  #0: input, references = 7, size of lhs = 6:
% 0.19/0.41     P_l-{F}(V0), P_apply-{F}(V0,V1,V3), P_apply-{F}(V3,V2,V4), P_apply-{F}(V2,V2,V5), P_apply-{F}(V1,V5,V6), V4 == V6 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #1: input, references = 8, size of lhs = 7:
% 0.19/0.41     P_l-{F}(V0), P_o-{F}(V1), P_apply-{F}(V1,V2,V4), P_apply-{F}(V4,V3,V5), P_apply-{F}(V2,V3,V6), P_apply-{F}(V3,V6,V7), V5 == V7 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #2: input, references = 5, size of lhs = 4:
% 0.19/0.41     P_l-{F}(V0), P_o-{F}(V1), P_combinator-{F}(V2), P_apply-{F}(V2,V4,V4) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #3: input, references = 11, size of lhs = 2:
% 0.19/0.41     #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #4: input, references = 4, size of lhs = 0:
% 0.19/0.41     FALSE | EXISTS V0: P_l-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #5: input, references = 4, size of lhs = 0:
% 0.19/0.41     FALSE | EXISTS V0: P_o-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #6: input, references = 4, size of lhs = 0:
% 0.19/0.41     FALSE | EXISTS V0: P_combinator-{T}(V0)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  number of initial rules = 7
% 0.19/0.41  
% 0.19/0.41  Simplifiers:
% 0.19/0.41  #7: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #8: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     P_l-{F}(V0), P_l-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #9: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     P_o-{F}(V0), P_o-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #10: unsound, references = 3, size of lhs = 3:
% 0.19/0.41     P_combinator-{F}(V0), P_combinator-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  number of simplifiers = 4
% 0.19/0.41  
% 0.19/0.41  Learnt:
% 0.19/0.41  #12: exists( #3, #0 ), references = 3, size of lhs = 4:
% 0.19/0.41     P_l-{F}(V0), P_apply-{F}(V0,V1,V2), P_apply-{F}(V2,V3,V4), P_apply-{F}(V3,V3,V5) | P_apply-{T}(V1,V5,V4)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #17: exists( #3, #1 ), references = 3, size of lhs = 5:
% 0.19/0.41     P_l-{F}(V0), P_o-{F}(V1), P_apply-{F}(V1,V2,V3), P_apply-{F}(V2,V4,V5), P_apply-{F}(V4,V5,V6) | P_apply-{T}(V3,V4,V6)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #18: exists( #3, #0 ), references = 8, size of lhs = 4:
% 0.19/0.41     P_l-{F}(V0), P_apply-{F}(V0,V1,V2), P_apply-{F}(V3,V3,V4), P_apply-{F}(V1,V4,V5) | P_apply-{T}(V2,V3,V5)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #29: mergings( V3 == V4, V4 == V0; #25 ), references = 1, size of lhs = 7:
% 0.19/0.41     P_o-{F}(V0), P_l-{F}(V0), P_apply-{F}(V0,V0,V1), P_apply-{F}(V2,V2,V1), P_apply-{F}(V3,V3,V2), P_apply-{F}(V1,V3,V4), P_apply-{F}(V3,V4,V5) | P_apply-{T}(V0,V1,V5)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #32: mergings( V3 == V0, V0 == V4; #26 ), references = 1, size of lhs = 7:
% 0.19/0.41     P_o-{F}(V0), P_l-{F}(V0), P_apply-{F}(V0,V0,V1), P_apply-{F}(V2,V2,V1), P_apply-{F}(V3,V3,V2), P_apply-{F}(V1,V3,V4), P_apply-{F}(V3,V4,V5) | P_apply-{T}(V0,V1,V5)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #45: mergings( V9 == V10, V3 == V0, V0 == V4, V4 == V5, V5 == V6, V7 == V11, V6 == V8; #37 ), references = 1, size of lhs = 8:
% 0.19/0.41     P_o-{F}(V0), P_l-{F}(V0), P_apply-{F}(V0,V0,V1), P_apply-{F}(V2,V0,V2), P_apply-{F}(V1,V2,V1), P_apply-{F}(V2,V2,V3), P_apply-{F}(V3,V3,V1), P_apply-{F}(V2,V3,V4) | P_apply-{T}(V0,V2,V4)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #60: mergings( V0 == V6, V5 == V7, V2 == V3, V3 == V6, V6 == V4; #52 ), references = 1, size of lhs = 8:
% 0.19/0.41     P_o-{F}(V0), P_l-{F}(V0), P_apply-{F}(V1,V0,V1), P_apply-{F}(V1,V1,V0), P_apply-{F}(V1,V2,V3), P_apply-{F}(V2,V2,V4), P_apply-{F}(V1,V4,V5), V3 == V5 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #68: mergings( V0 == V6, V5 == V7, V10 == V11, V2 == V3, V3 == V6, V6 == V4, V4 == V8; #53 ), references = 1, size of lhs = 7:
% 0.19/0.41     P_o-{F}(V0), P_l-{F}(V0), P_apply-{F}(V1,V0,V1), P_apply-{F}(V1,V1,V0), P_apply-{F}(V1,V2,V3), P_apply-{F}(V2,V3,V4), V3 == V4 | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #76: mergings( V0 == V8, V2 == V8, V8 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #54 ), references = 1, size of lhs = 4:
% 0.19/0.41     P_combinator-{F}(V0), P_l-{F}(V0), P_o-{F}(V0), P_apply-{F}(V0,V0,V0) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #78: exists( #3, #1 ), references = 1, size of lhs = 5:
% 0.19/0.41     P_l-{F}(V0), P_o-{F}(V1), P_apply-{F}(V1,V2,V3), P_apply-{F}(V3,V4,V5), P_apply-{F}(V2,V4,V6) | P_apply-{T}(V4,V6,V5)
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #86: mergings( V2 == V3; #84 ), references = 1, size of lhs = 4:
% 0.19/0.41     P_l-{F}(V0), P_o-{F}(V1), P_combinator-{F}(V2), P_apply-{F}(V0,V2,V3) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #89: mergings( V0 == V3; #87 ), references = 1, size of lhs = 3:
% 0.19/0.41     P_l-{F}(V0), P_o-{F}(V1), P_combinator-{F}(V2) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #92: mergings( V1 == V2; #90 ), references = 1, size of lhs = 2:
% 0.19/0.41     P_l-{F}(V0), P_o-{F}(V1) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #95: mergings( V1 == V2; #93 ), references = 1, size of lhs = 1:
% 0.19/0.41     P_l-{F}(V0) | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  #97: exists( #4, #93 ), references = 1, size of lhs = 0:
% 0.19/0.41     FALSE | FALSE
% 0.19/0.41        (used 0 times, uses = {})
% 0.19/0.41  
% 0.19/0.41  number of learnt formulas = 15
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41  
% 0.19/0.41  randbase = 1
%------------------------------------------------------------------------------