TSTP Solution File: SEU361+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU361+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:17:54 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU361+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % 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 19:09:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.48  GeoParameters:
% 0.18/0.48  
% 0.18/0.48  tptp_input =     1
% 0.18/0.48  tptp_output =    0
% 0.18/0.48  nonempty =       1
% 0.18/0.48  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48  
% 0.18/0.48  RuleSystem INPUT:
% 0.18/0.48  
% 0.18/0.48  Initial Rules:
% 0.18/0.48  #0: input, references = 3, size of lhs = 2:
% 0.18/0.48     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #1: input, references = 3, size of lhs = 1:
% 0.18/0.48     empty-{F}(V0) | finite-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #2: input, references = 4, size of lhs = 5:
% 0.18/0.48     P_empty_set-{F}(V0), P_bottom_of_relstr-{F}(V1,V2), P_join_on_relstr-{F}(V1,V0,V3), rel_str-{F}(V1), V2 == V3 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #3: input, references = 4, size of lhs = 4:
% 0.18/0.48     P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), rel_str-{F}(V1), P_join_on_relstr-{F}(V1,V3,V4) | element-{T}(V4,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #4: input, references = 3, size of lhs = 4:
% 0.18/0.48     P_empty_set-{F}(V0), P_bottom_of_relstr-{F}(V1,V2), P_the_carrier-{F}(V1,V3), rel_str-{F}(V1) | element-{T}(V2,V3)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #5: input, references = 3, size of lhs = 2:
% 0.18/0.48     P_empty_set-{F}(V0), rel_str-{F}(V1) | one_sorted_str-{T}(V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #6: input, references = 3, size of lhs = 1:
% 0.18/0.48     P_empty_set-{F}(V0) | EXISTS V1: pppp0-{T}(V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #7: input, references = 3, size of lhs = 1:
% 0.18/0.48     pppp0-{F}(V0) | rel_str-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #8: input, references = 3, size of lhs = 1:
% 0.18/0.48     P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #9: input, references = 3, size of lhs = 1:
% 0.18/0.48     pppp1-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #10: input, references = 3, size of lhs = 2:
% 0.18/0.48     P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #11: input, references = 3, size of lhs = 1:
% 0.18/0.48     pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #12: input, references = 3, size of lhs = 4:
% 0.18/0.48     P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), one_sorted_str-{F}(V1), empty-{F}(V2) | empty_carrier-{T}(V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #13: input, references = 3, size of lhs = 1:
% 0.18/0.48     P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #14: input, references = 3, size of lhs = 1:
% 0.18/0.48     P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #15: input, references = 3, size of lhs = 1:
% 0.18/0.48     pppp3-{F}(V0) | finite-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #16: input, references = 3, size of lhs = 2:
% 0.18/0.48     pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #17: input, references = 4, size of lhs = 1:
% 0.18/0.48     P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #18: input, references = 5, size of lhs = 1:
% 0.18/0.48     pppp4-{F}(V0) | empty-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #19: input, references = 3, size of lhs = 1:
% 0.18/0.48     P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #20: input, references = 3, size of lhs = 2:
% 0.18/0.48     pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #21: input, references = 3, size of lhs = 1:
% 0.18/0.48     P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #22: input, references = 4, size of lhs = 2:
% 0.18/0.48     pppp6-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #23: input, references = 3, size of lhs = 1:
% 0.18/0.48     pppp6-{F}(V0) | one_sorted_str-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #24: input, references = 3, size of lhs = 2:
% 0.18/0.48     P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #25: input, references = 4, size of lhs = 2:
% 0.18/0.48     P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #26: input, references = 3, size of lhs = 7:
% 0.18/0.48     P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), element-{F}(V5,V2), P_join_on_relstr-{F}(V1,V4,V5), ex_sup_of_relstr_set-{F}(V1,V4) | relstr_set_smaller-{T}(V1,V4,V5)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #27: input, references = 4, size of lhs = 9:
% 0.18/0.48     P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), element-{F}(V5,V2), P_join_on_relstr-{F}(V1,V4,V5), ex_sup_of_relstr_set-{F}(V1,V4), element-{F}(V6,V2), relstr_set_smaller-{F}(V1,V4,V6) | related-{T}(V1,V5,V6)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #28: input, references = 3, size of lhs = 8:
% 0.18/0.48     P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), element-{F}(V3,V2), P_join_on_relstr-{F}(V1,V4,V5), relstr_set_smaller-{F}(V1,V4,V3), V3 == V5 | EXISTS V6: pppp7-{T}(V1,V3,V4,V6,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #29: input, references = 3, size of lhs = 7:
% 0.18/0.48     P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1), element-{F}(V3,V2), P_join_on_relstr-{F}(V1,V4,V5), relstr_set_smaller-{F}(V1,V4,V3) | pppp11-{T}(V1,V3,V4,V2), ex_sup_of_relstr_set-{T}(V1,V4)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #30: input, references = 3, size of lhs = 1:
% 0.18/0.48     pppp11-{F}(V0,V1,V2,V3) | EXISTS V4: pppp7-{T}(V0,V1,V2,V4,V3)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #31: input, references = 3, size of lhs = 2:
% 0.18/0.48     pppp7-{F}(V0,V1,V2,V3,V4), related-{F}(V0,V1,V3) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #32: input, references = 3, size of lhs = 1:
% 0.18/0.48     pppp7-{F}(V0,V1,V2,V3,V4) | relstr_set_smaller-{T}(V0,V2,V3)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #33: input, references = 3, size of lhs = 1:
% 0.18/0.48     pppp7-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #34: input, references = 4, size of lhs = 5:
% 0.18/0.48     P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), lower_bounded_relstr-{F}(V1), rel_str-{F}(V1) | empty_carrier-{T}(V1), ex_sup_of_relstr_set-{T}(V1,V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #35: input, references = 3, size of lhs = 5:
% 0.18/0.48     P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), antisymmetric_relstr-{F}(V1), lower_bounded_relstr-{F}(V1), rel_str-{F}(V1) | empty_carrier-{T}(V1), ex_inf_of_relstr_set-{T}(V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #36: input, references = 4, size of lhs = 1:
% 0.18/0.48     P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #37: input, references = 5, size of lhs = 3:
% 0.18/0.48     pppp10-{F}(V0), P_the_carrier-{F}(V0,V1), P_bottom_of_relstr-{F}(V0,V2) | pppp9-{T}(V0,V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #38: input, references = 4, size of lhs = 1:
% 0.18/0.48     pppp9-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #39: input, references = 4, size of lhs = 1:
% 0.18/0.48     pppp9-{F}(V0,V1,V2) | rel_str-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #40: input, references = 4, size of lhs = 1:
% 0.18/0.48     pppp9-{F}(V0,V1,V2) | lower_bounded_relstr-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #41: input, references = 4, size of lhs = 1:
% 0.18/0.48     pppp9-{F}(V0,V1,V2) | antisymmetric_relstr-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #42: input, references = 4, size of lhs = 2:
% 0.18/0.48     pppp9-{F}(V0,V1,V2), empty_carrier-{F}(V0) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #43: input, references = 4, size of lhs = 2:
% 0.18/0.48     pppp8-{F}(V0,V1,V2,V3), related-{F}(V0,V3,V1) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #44: input, references = 5, size of lhs = 1:
% 0.18/0.48     pppp8-{F}(V0,V1,V2,V3) | element-{T}(V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #45: input, references = 4, size of lhs = 3:
% 0.18/0.48     P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #46: input, references = 5, size of lhs = 4:
% 0.18/0.48     P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), rel_str-{F}(V1), element-{F}(V3,V2) | relstr_set_smaller-{T}(V1,V0,V3)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #47: input, references = 3, size of lhs = 4:
% 0.18/0.48     P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), rel_str-{F}(V1), element-{F}(V3,V2) | relstr_element_smaller-{T}(V1,V0,V3)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #48: input, references = 3, size of lhs = 3:
% 0.18/0.48     P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #49: input, references = 4, size of lhs = 4:
% 0.18/0.48     P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #50: input, references = 5, size of lhs = 1:
% 0.18/0.48     #-{F} V0 | EXISTS V1: P_bottom_of_relstr-{T}(V0,V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #51: input, references = 4, size of lhs = 2:
% 0.18/0.48     #-{F} V0, #-{F} V1 | EXISTS V2: P_join_on_relstr-{T}(V0,V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #52: input, references = 4, size of lhs = 0:
% 0.18/0.48     FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #53: input, references = 5, size of lhs = 1:
% 0.18/0.48     #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  number of initial rules = 54
% 0.18/0.48  
% 0.18/0.48  Simplifiers:
% 0.18/0.48  #54: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     antisymmetric_relstr-{F}(V0), antisymmetric_relstr-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #55: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     ex_sup_of_relstr_set-{F}(V0,V1), ex_sup_of_relstr_set-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #56: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     ex_sup_of_relstr_set-{F}(V0,V1), ex_sup_of_relstr_set-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #57: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     relstr_set_smaller-{F}(V0,V1,V2), relstr_set_smaller-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #58: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     related-{F}(V0,V1,V2), related-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #59: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     lower_bounded_relstr-{F}(V0), lower_bounded_relstr-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #60: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     ex_inf_of_relstr_set-{F}(V0,V1), ex_inf_of_relstr_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #61: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     ex_inf_of_relstr_set-{F}(V0,V1), ex_inf_of_relstr_set-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #62: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     relstr_element_smaller-{F}(V0,V1,V2), relstr_element_smaller-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #63: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     P_bottom_of_relstr-{F}(V0,V1), P_bottom_of_relstr-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #64: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     P_join_on_relstr-{F}(V0,V1,V2), P_join_on_relstr-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #65: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #66: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #67: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #68: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #69: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #70: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #71: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #72: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #73: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #74: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #75: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #76: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #77: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #78: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #79: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #80: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #81: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #82: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #83: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #87: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #88: unsound, references = 3, size of lhs = 3:
% 0.18/0.48     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  number of simplifiers = 35
% 0.18/0.48  
% 0.18/0.48  Learnt:
% 0.18/0.48  #94: mergings( V0 == V2; #91 ), references = 1, size of lhs = 1:
% 0.18/0.48     P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #96: mergings( V0 == V2; #92 ), references = 1, size of lhs = 2:
% 0.18/0.48     P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #100: disj( #25, input ), references = 1, size of lhs = 3:
% 0.18/0.48     P_empty_set-{F}(V0), pppp5-{F}(V1), element-{F}(V2,V1) | in-{T}(V2,V1)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #102: mergings( V0 == V3; #98 ), references = 1, size of lhs = 3:
% 0.18/0.48     P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #105: mergings( V0 == V3, V2 == V3; #99 ), references = 1, size of lhs = 4:
% 0.18/0.48     P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #112: exists( #51, #2 ), references = 1, size of lhs = 3:
% 0.18/0.48     P_empty_set-{F}(V0), rel_str-{F}(V1), P_bottom_of_relstr-{F}(V1,V2) | P_join_on_relstr-{T}(V1,V0,V2)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #124: mergings( V0 == V3, V2 == V4; #121 ), references = 3, size of lhs = 10:
% 0.18/0.48     lower_bounded_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), P_join_on_relstr-{F}(V0,V1,V3), element-{F}(V3,V2), relstr_set_smaller-{F}(V0,V1,V4), element-{F}(V4,V2), pppp8-{F}(V0,V4,V5,V3) | empty_carrier-{T}(V0)
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #139: mergings( V1 == V5, V2 == V6; #135 ), references = 1, size of lhs = 8:
% 0.18/0.48     lower_bounded_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), P_join_on_relstr-{F}(V0,V1,V3), element-{F}(V3,V2), pppp9-{F}(V0,V2,V3) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #140: exists( #38, #134 ), references = 1, size of lhs = 9:
% 0.18/0.48     lower_bounded_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), rel_str-{F}(V0), pppp6-{F}(V0), P_empty_set-{F}(V1), P_the_carrier-{F}(V0,V2), pppp9-{F}(V0,V2,V3), P_join_on_relstr-{F}(V0,V1,V3), element-{F}(V3,V2) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #152: mergings( V2 == V5; #149 ), references = 1, size of lhs = 6:
% 0.18/0.48     pppp10-{F}(V0), rel_str-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_join_on_relstr-{F}(V0,V2,V1), P_empty_set-{F}(V3), P_join_on_relstr-{F}(V0,V3,V1) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #158: mergings( V2 == V3; #155 ), references = 2, size of lhs = 3:
% 0.18/0.48     pppp10-{F}(V0), rel_str-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #167: exists( #53, #165 ), references = 1, size of lhs = 3:
% 0.18/0.48     pppp10-{F}(V0), P_bottom_of_relstr-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #169: exists( #50, #166 ), references = 1, size of lhs = 2:
% 0.18/0.48     pppp10-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #172: mergings( V0 == V2; #170 ), references = 1, size of lhs = 1:
% 0.18/0.48     P_empty_set-{F}(V0) | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  #174: exists( #52, #170 ), references = 1, size of lhs = 0:
% 0.18/0.48     FALSE | FALSE
% 0.18/0.48        (used 0 times, uses = {})
% 0.18/0.48  
% 0.18/0.48  number of learnt formulas = 15
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48  
% 0.18/0.48  randbase = 1
%------------------------------------------------------------------------------