TSTP Solution File: SEU357+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n024.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 06:17:53 EDT 2022

% Result   : Theorem 0.18s 0.38s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n024.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 19:38:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.38  GeoParameters:
% 0.18/0.38  
% 0.18/0.38  tptp_input =     1
% 0.18/0.38  tptp_output =    0
% 0.18/0.38  nonempty =       1
% 0.18/0.38  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.38  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.38  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.38  
% 0.18/0.38  RuleSystem INPUT:
% 0.18/0.38  
% 0.18/0.38  Initial Rules:
% 0.18/0.38  #0: input, references = 4, size of lhs = 2:
% 0.18/0.38     rel_str-{F}(V0), ex_inf_of_relstr_set-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #1: input, references = 5, size of lhs = 2:
% 0.18/0.38     rel_str-{F}(V0), pppp0-{F}(V0,V1) | ex_inf_of_relstr_set-{T}(V0,V1)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #2: input, references = 4, size of lhs = 2:
% 0.18/0.38     P_the_carrier-{F}(V0,V2), pppp0-{F}(V0,V1) | EXISTS V3: pppp3-{T}(V0,V1,V3,V2)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #3: input, references = 4, size of lhs = 3:
% 0.18/0.38     P_the_carrier-{F}(V0,V2), element-{F}(V3,V2), relstr_element_smaller-{F}(V0,V1,V3) | pppp0-{T}(V0,V1), pppp13-{T}(V0,V1,V3,V2), pppp14-{T}(V0,V1,V3,V2)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #4: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp13-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V1,V2,V4,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #5: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp14-{F}(V0,V1,V2,V3) | EXISTS V4: pppp5-{T}(V0,V1,V2,V4,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #6: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp5-{F}(V0,V1,V2,V2,V4) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #7: input, references = 4, size of lhs = 3:
% 0.18/0.38     pppp5-{F}(V0,V1,V2,V3,V4), element-{F}(V5,V4), relstr_element_smaller-{F}(V0,V1,V5) | related-{T}(V0,V5,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #8: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp5-{F}(V0,V1,V2,V3,V4) | relstr_element_smaller-{T}(V0,V1,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #9: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp5-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #10: input, references = 4, size of lhs = 2:
% 0.18/0.38     pppp4-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V3,V2) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #11: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp4-{F}(V0,V1,V2,V3,V4) | relstr_element_smaller-{T}(V0,V1,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #12: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp4-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #13: input, references = 3, size of lhs = 4:
% 0.18/0.38     pppp3-{F}(V0,V1,V2,V3), element-{F}(V4,V3), relstr_element_smaller-{F}(V0,V1,V4), V4 == V2 | EXISTS V5: pppp2-{T}(V0,V1,V4,V5,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #14: input, references = 4, size of lhs = 3:
% 0.18/0.38     pppp3-{F}(V0,V1,V2,V3), element-{F}(V4,V3), relstr_element_smaller-{F}(V0,V1,V4) | related-{T}(V0,V4,V2)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #15: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp3-{F}(V0,V1,V2,V3) | relstr_element_smaller-{T}(V0,V1,V2)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #16: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp3-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #17: input, references = 3, size of lhs = 2:
% 0.18/0.38     pppp2-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V3,V2) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #18: input, references = 3, size of lhs = 1:
% 0.18/0.38     pppp2-{F}(V0,V1,V2,V3,V4) | relstr_element_smaller-{T}(V0,V1,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #19: input, references = 3, size of lhs = 1:
% 0.18/0.38     pppp2-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #20: input, references = 3, size of lhs = 1:
% 0.18/0.38     rel_str-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #21: input, references = 3, size of lhs = 0:
% 0.18/0.38     FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #22: input, references = 3, size of lhs = 1:
% 0.18/0.38     pppp6-{F}(V0) | rel_str-{T}(V0)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #23: input, references = 3, size of lhs = 0:
% 0.18/0.38     FALSE | EXISTS V0: pppp7-{T}(V0)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #24: input, references = 3, size of lhs = 1:
% 0.18/0.38     pppp7-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #25: input, references = 3, size of lhs = 1:
% 0.18/0.38     #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #26: input, references = 3, size of lhs = 1:
% 0.18/0.38     pppp8-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #27: input, references = 4, size of lhs = 0:
% 0.18/0.38     FALSE | EXISTS V0: pppp10-{T}(V0)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #28: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #29: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp10-{F}(V0) | rel_str-{T}(V0)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #30: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp10-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #31: input, references = 5, size of lhs = 3:
% 0.18/0.38     pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), ex_inf_of_relstr_set-{F}(V0,V1) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #32: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp9-{F}(V0,V1) | ex_inf_of_relstr_set-{T}(V0,V1), pppp1-{T}(V0,V1)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #33: input, references = 4, size of lhs = 2:
% 0.18/0.38     P_the_carrier-{F}(V0,V2), pppp1-{F}(V0,V1) | EXISTS V3: pppp11-{T}(V0,V1,V3,V2)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #34: input, references = 4, size of lhs = 3:
% 0.18/0.38     P_the_carrier-{F}(V0,V2), element-{F}(V3,V2), relstr_element_smaller-{F}(V0,V1,V3) | pppp1-{T}(V0,V1), pppp15-{T}(V0,V1,V3,V2)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #35: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp15-{F}(V0,V1,V2,V3) | EXISTS V4: pppp12-{T}(V0,V1,V2,V4,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #36: input, references = 4, size of lhs = 2:
% 0.18/0.38     pppp12-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V3,V2) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #37: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp12-{F}(V0,V1,V2,V3,V4) | relstr_element_smaller-{T}(V0,V1,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #38: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp12-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #39: input, references = 5, size of lhs = 3:
% 0.18/0.38     pppp11-{F}(V0,V1,V2,V3), element-{F}(V4,V3), relstr_element_smaller-{F}(V0,V1,V4) | related-{T}(V0,V4,V2)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #40: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp11-{F}(V0,V1,V2,V3) | relstr_element_smaller-{T}(V0,V1,V2)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #41: input, references = 4, size of lhs = 1:
% 0.18/0.38     pppp11-{F}(V0,V1,V2,V3) | element-{T}(V2,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #42: input, references = 4, size of lhs = 8:
% 0.18/0.38     P_the_carrier-{F}(V0,V1), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), element-{F}(V2,V1), element-{F}(V3,V1), related-{F}(V0,V2,V3), related-{F}(V0,V3,V2), V2 == V3 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #43: input, references = 4, size of lhs = 1:
% 0.18/0.38     #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  number of initial rules = 44
% 0.18/0.38  
% 0.18/0.38  Simplifiers:
% 0.18/0.38  #44: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     ex_inf_of_relstr_set-{F}(V0,V1), ex_inf_of_relstr_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #45: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     ex_inf_of_relstr_set-{F}(V0,V1), ex_inf_of_relstr_set-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     relstr_element_smaller-{F}(V0,V1,V2), relstr_element_smaller-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     relstr_element_smaller-{F}(V0,V1,V2), relstr_element_smaller-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     related-{F}(V0,V1,V2), related-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     antisymmetric_relstr-{F}(V0), antisymmetric_relstr-{F}(V1), V0 == V1 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #50: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #51: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #52: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #53: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #54: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #55: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #56: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #57: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V6,V7,V8,V9), V1 == V6 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #58: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #59: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #60: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #61: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #62: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #63: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #64: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #65: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V0,V6,V7,V8,V9), V1 == V6 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #66: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #67: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #68: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #69: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V0,V6,V7,V8,V9), V1 == V6 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #70: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #71: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #72: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #73: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #74: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #75: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #76: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #77: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #78: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #79: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #80: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #81: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #82: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #83: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V6,V7,V8,V9), V1 == V6 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #87: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #88: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #89: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #90: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #91: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #92: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #93: unsound, references = 3, size of lhs = 3:
% 0.18/0.38     pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  number of simplifiers = 50
% 0.18/0.38  
% 0.18/0.38  Learnt:
% 0.18/0.38  #98: exists( #35, #96 ), references = 1, size of lhs = 2:
% 0.18/0.38     pppp15-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2,V3) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #100: disj( #34, exists( #35, #96 ) ), references = 2, size of lhs = 4:
% 0.18/0.38     P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), relstr_element_smaller-{F}(V0,V3,V2), pppp3-{F}(V0,V3,V2,V1) | pppp1-{T}(V0,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #107: exists( #2, #105 ), references = 2, size of lhs = 4:
% 0.18/0.38     pppp0-{F}(V0,V1), pppp9-{F}(V0,V1), ex_inf_of_relstr_set-{F}(V0,V1), P_the_carrier-{F}(V0,V2) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #110: disj( #32, #0+#106 ), references = 1, size of lhs = 3:
% 0.18/0.38     rel_str-{F}(V0), pppp9-{F}(V0,V1), P_the_carrier-{F}(V0,V2) | pppp1-{T}(V0,V1)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #115: exists( #4, #113 ), references = 1, size of lhs = 2:
% 0.18/0.38     pppp13-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V3) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #120: disj( #3, #1+#31, exists( #4, #113 ) ), references = 1, size of lhs = 7:
% 0.18/0.38     rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), pppp9-{F}(V0,V2), pppp1-{F}(V0,V2), relstr_element_smaller-{F}(V0,V2,V3), element-{F}(V3,V1), pppp11-{F}(V0,V2,V3,V1) | pppp14-{T}(V0,V2,V3,V1)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #122: mergings( V1 == V4; #119 ), references = 2, size of lhs = 6:
% 0.18/0.38     rel_str-{F}(V0), pppp9-{F}(V0,V1), relstr_element_smaller-{F}(V0,V1,V2), element-{F}(V2,V3), pppp11-{F}(V0,V1,V2,V3), P_the_carrier-{F}(V0,V3) | pppp14-{T}(V0,V1,V2,V3)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #128: exists( #5, #126 ), references = 2, size of lhs = 7:
% 0.18/0.38     antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), element-{F}(V2,V1), relstr_element_smaller-{F}(V0,V3,V2), pppp11-{F}(V0,V3,V2,V1), pppp14-{F}(V0,V3,V4,V1) | pppp5-{T}(V0,V3,V4,V2,V1)
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #137: exists( #33, #135 ), references = 1, size of lhs = 5:
% 0.18/0.38     antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), pppp1-{F}(V0,V1), pppp9-{F}(V0,V1), P_the_carrier-{F}(V0,V2) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #141: mergings( V2 == V3; #139 ), references = 1, size of lhs = 4:
% 0.18/0.38     pppp10-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_the_carrier-{F}(V0,V1) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #143: exists( #43, #139 ), references = 1, size of lhs = 3:
% 0.18/0.38     pppp10-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0) | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  #147: exists( #27, #145 ), references = 1, size of lhs = 0:
% 0.18/0.38     FALSE | FALSE
% 0.18/0.38        (used 0 times, uses = {})
% 0.18/0.38  
% 0.18/0.38  number of learnt formulas = 12
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.38  
% 0.18/0.38  randbase = 1
%------------------------------------------------------------------------------