TSTP Solution File: SEU223+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU223+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 06:17:32 EDT 2022

% Result   : Theorem 8.41s 8.58s
% Output   : Refutation 8.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jul 22 18:53:26 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 8.41/8.58  GeoParameters:
% 8.41/8.58  
% 8.41/8.58  tptp_input =     1
% 8.41/8.58  tptp_output =    0
% 8.41/8.58  nonempty =       1
% 8.41/8.58  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.41/8.58  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 8.41/8.58  
% 8.41/8.58  
% 8.41/8.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.41/8.58  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.41/8.58  
% 8.41/8.58  RuleSystem INPUT:
% 8.41/8.58  
% 8.41/8.58  Initial Rules:
% 8.41/8.58  #0: input, references = 3, size of lhs = 0:
% 8.41/8.58     FALSE | EXISTS V0: pppp1-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #1: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #2: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp1-{F}(V0) | relation-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #3: input, references = 7, size of lhs = 3:
% 8.41/8.58     relation-{F}(V0), relation_empty_yielding-{F}(V0), P_relation_dom_restriction-{F}(V0,V1,V2) | relation-{T}(V2)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #4: input, references = 3, size of lhs = 3:
% 8.41/8.58     relation-{F}(V0), relation_empty_yielding-{F}(V0), P_relation_dom_restriction-{F}(V0,V1,V2) | relation_empty_yielding-{T}(V2)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #5: input, references = 3, size of lhs = 0:
% 8.41/8.58     FALSE | EXISTS V0: pppp2-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #6: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp2-{F}(V0) | one_to_one-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #7: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp2-{F}(V0) | function-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #8: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp2-{F}(V0) | relation-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #9: input, references = 3, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | empty-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #10: input, references = 3, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | relation-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #11: input, references = 3, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | empty-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #12: input, references = 3, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | relation-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #13: input, references = 3, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #14: input, references = 3, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | empty-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #15: input, references = 4, size of lhs = 3:
% 8.41/8.58     P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #16: input, references = 3, size of lhs = 2:
% 8.41/8.58     P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp3-{T}(V1,V2)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #17: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp3-{F}(V0,V1) | element-{T}(V1,V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #18: input, references = 3, size of lhs = 2:
% 8.41/8.58     P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #19: input, references = 4, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #20: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp4-{F}(V0) | function-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #21: input, references = 5, size of lhs = 1:
% 8.41/8.58     pppp4-{F}(V0) | empty-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #22: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp4-{F}(V0) | relation-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #23: input, references = 3, size of lhs = 4:
% 8.41/8.58     P_empty_set-{F}(V0), relation-{F}(V1), empty-{F}(V1), function-{F}(V1) | one_to_one-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #24: input, references = 4, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #25: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp5-{F}(V0) | relation-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #26: input, references = 5, size of lhs = 1:
% 8.41/8.58     pppp5-{F}(V0) | empty-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #27: input, references = 3, size of lhs = 2:
% 8.41/8.58     P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #28: input, references = 3, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #29: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp6-{F}(V0) | relation-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #30: input, references = 3, size of lhs = 2:
% 8.41/8.58     pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #31: input, references = 5, size of lhs = 4:
% 8.41/8.58     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #32: input, references = 5, size of lhs = 3:
% 8.41/8.58     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #33: input, references = 3, size of lhs = 3:
% 8.41/8.58     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #34: input, references = 4, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #35: input, references = 5, size of lhs = 1:
% 8.41/8.58     pppp7-{F}(V0) | empty-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #36: input, references = 3, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #37: input, references = 3, size of lhs = 2:
% 8.41/8.58     pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #38: input, references = 4, size of lhs = 2:
% 8.41/8.58     P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #39: input, references = 8, size of lhs = 3:
% 8.41/8.58     P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #40: input, references = 8, size of lhs = 4:
% 8.41/8.58     P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #41: input, references = 4, size of lhs = 4:
% 8.41/8.58     P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V2,V1,V4), V3 == V4 | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #42: input, references = 4, size of lhs = 3:
% 8.41/8.58     P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #43: input, references = 5, size of lhs = 3:
% 8.41/8.58     P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #44: input, references = 4, size of lhs = 3:
% 8.41/8.58     P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #45: input, references = 3, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #46: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp9-{F}(V0) | function-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #47: input, references = 3, size of lhs = 1:
% 8.41/8.58     pppp9-{F}(V0) | relation-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #48: input, references = 3, size of lhs = 4:
% 8.41/8.58     P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #49: input, references = 8, size of lhs = 4:
% 8.41/8.58     P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | function-{T}(V3)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #50: input, references = 3, size of lhs = 4:
% 8.41/8.58     P_empty_set-{F}(V0), relation-{F}(V1), P_set_intersection2-{F}(V2,V1,V3), relation-{F}(V2) | relation-{T}(V3)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #51: input, references = 3, size of lhs = 2:
% 8.41/8.58     P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #52: input, references = 5, size of lhs = 3:
% 8.41/8.58     P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #53: input, references = 4, size of lhs = 1:
% 8.41/8.58     P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #54: input, references = 6, size of lhs = 1:
% 8.41/8.58     pppp12-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #55: input, references = 4, size of lhs = 1:
% 8.41/8.58     pppp12-{F}(V0) | function-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #56: input, references = 4, size of lhs = 1:
% 8.41/8.58     pppp12-{F}(V0) | relation-{T}(V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #57: input, references = 6, size of lhs = 1:
% 8.41/8.58     pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V2,V1,V0)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #58: input, references = 7, size of lhs = 5:
% 8.41/8.58     pppp10-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V6), P_apply-{F}(V2,V1,V6) | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #59: input, references = 9, size of lhs = 5:
% 8.41/8.58     pppp10-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), P_apply-{F}(V2,V1,V6) | in-{T}(V1,V4)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #60: input, references = 8, size of lhs = 6:
% 8.41/8.58     P_empty_set-{F}(V0), relation-{F}(V4), function-{F}(V4), relation-{F}(V2), function-{F}(V2), P_relation_dom_restriction-{F}(V2,V3,V4) | pppp0-{T}(V3,V4,V2)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #61: input, references = 4, size of lhs = 8:
% 8.41/8.58     P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom_restriction-{F}(V2,V3,V4), pppp0-{F}(V3,V1,V2), V1 == V4 | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #62: input, references = 5, size of lhs = 6:
% 8.41/8.58     P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6), pppp0-{F}(V1,V2,V3), V4 == V6 | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #63: input, references = 10, size of lhs = 9:
% 8.41/8.58     P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6), pppp0-{F}(V1,V2,V3), P_apply-{F}(V2,V7,V8), P_apply-{F}(V3,V7,V9), in-{F}(V7,V4), V8 == V9 | FALSE
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #64: input, references = 10, size of lhs = 4:
% 8.41/8.58     P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V6), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6) | pppp0-{T}(V1,V2,V3), pppp14-{T}(V2,V3,V6)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #65: input, references = 7, size of lhs = 1:
% 8.41/8.58     pppp14-{F}(V0,V1,V2) | EXISTS V3: pppp13-{T}(V0,V1,V3,V2)
% 8.41/8.58        (used 0 times, uses = {})
% 8.41/8.58  
% 8.41/8.58  #66: input, references = 5, size of lhs = 3:
% 8.41/8.58     pppp13-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V5), P_apply-{F}(V1,V2,V5) | FALSE
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #67: input, references = 9, size of lhs = 3:
% 8.41/8.59     pppp13-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), P_apply-{F}(V1,V2,V5) | in-{T}(V2,V3)
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #68: input, references = 10, size of lhs = 2:
% 8.41/8.59     #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_dom_restriction-{T}(V0,V1,V2)
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #69: input, references = 4, size of lhs = 0:
% 8.41/8.59     FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #70: input, references = 7, size of lhs = 2:
% 8.41/8.59     #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #71: input, references = 7, size of lhs = 1:
% 8.41/8.59     #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #72: input, references = 22, size of lhs = 2:
% 8.41/8.59     #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  number of initial rules = 73
% 8.41/8.59  
% 8.41/8.59  Simplifiers:
% 8.41/8.59  #73: unsound, references = 3, size of lhs = 3:
% 8.41/8.59     P_relation_dom_restriction-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #74: unsound, references = 3, size of lhs = 3:
% 8.41/8.59     P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #75: unsound, references = 3, size of lhs = 3:
% 8.41/8.59     P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #76: unsound, references = 3, size of lhs = 3:
% 8.41/8.59     P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #77: unsound, references = 3, size of lhs = 3:
% 8.41/8.59     P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #78: unsound, references = 3, size of lhs = 3:
% 8.41/8.59     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #79: unsound, references = 3, size of lhs = 3:
% 8.41/8.59     pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 8.41/8.59        (used 0 times, uses = {})
% 8.41/8.59  
% 8.41/8.59  #80: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #81: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #82: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #83: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #84: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #85: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #86: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #87: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V1,V2), V0 == V3 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #88: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V2), V1 == V4 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #89: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V2 == V5 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #90: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #91: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #92: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #93: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #94: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #95: unsound, references = 3, size of lhs = 3:
% 8.43/8.59     pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V5), V2 == V5 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  number of simplifiers = 23
% 8.43/8.59  
% 8.43/8.59  Learnt:
% 8.43/8.59  #101: mergings( V2 == V3; #98 ), references = 1, size of lhs = 2:
% 8.43/8.59     empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #103: mergings( V2 == V3; #99 ), references = 1, size of lhs = 3:
% 8.43/8.59     empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #106: exists( #70, #15 ), references = 2, size of lhs = 2:
% 8.43/8.59     P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #107: exists( #70, #42 ), references = 1, size of lhs = 2:
% 8.43/8.59     P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #109: exists( #71, #62 ), references = 6, size of lhs = 4:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V4), pppp0-{F}(V3,V5,V1) | P_relation_dom-{T}(V5,V4)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #132: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #126 ), references = 1, size of lhs = 7:
% 8.43/8.59     relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3), P_set_intersection2-{F}(V3,V4,V1) | P_relation_dom_restriction-{T}(V0,V4,V2)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #137: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #127 ), references = 1, size of lhs = 8:
% 8.43/8.59     relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_dom-{F}(V0,V4), P_set_intersection2-{F}(V4,V5,V1) | P_relation_dom_restriction-{T}(V0,V5,V3)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #142: exists( #70, #41 ), references = 2, size of lhs = 2:
% 8.43/8.59     P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | P_set_intersection2-{T}(V2,V1,V3)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #143: exists( #70, #62 ), references = 1, size of lhs = 4:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5) | P_set_intersection2-{T}(V5,V3,V2)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #149: mergings( V0 == V2; #146 ), references = 1, size of lhs = 1:
% 8.43/8.59     P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #151: mergings( V0 == V2; #147 ), references = 1, size of lhs = 2:
% 8.43/8.59     P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #158: mergings( V0 == V2; #155 ), references = 1, size of lhs = 1:
% 8.43/8.59     P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #160: mergings( V0 == V2; #156 ), references = 1, size of lhs = 2:
% 8.43/8.59     P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #168: mergings( V0 == V2; #165 ), references = 1, size of lhs = 1:
% 8.43/8.59     P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #170: mergings( V0 == V2; #166 ), references = 1, size of lhs = 2:
% 8.43/8.59     P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #176: mergings( V0 == V3; #173 ), references = 1, size of lhs = 3:
% 8.43/8.59     P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #179: mergings( V0 == V3, V2 == V3; #174 ), references = 1, size of lhs = 4:
% 8.43/8.59     P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #186: exists( #72, #63 ), references = 3, size of lhs = 7:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp0-{F}(V5,V1,V6), P_relation_dom-{F}(V6,V7), P_set_intersection2-{F}(V7,V5,V8) | P_apply-{T}(V6,V3,V4)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #197: exists( #72, #193 ), references = 1, size of lhs = 4:
% 8.43/8.59     P_empty_set-{F}(V0), empty-{F}(V1), pppp13-{F}(V2,V3,V4,V1), P_apply-{F}(V2,V4,V5) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #198: exists( #72, #194 ), references = 1, size of lhs = 4:
% 8.43/8.59     P_empty_set-{F}(V0), in-{F}(V1,V2), pppp13-{F}(V3,V4,V2,V1), P_apply-{F}(V3,V2,V5) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #201: exists( #72, #195 ), references = 1, size of lhs = 3:
% 8.43/8.59     P_empty_set-{F}(V0), empty-{F}(V1), pppp13-{F}(V2,V3,V4,V1) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #202: exists( #72, #196 ), references = 1, size of lhs = 3:
% 8.43/8.59     P_empty_set-{F}(V0), in-{F}(V1,V2), pppp13-{F}(V3,V4,V2,V1) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #204: exists( #65, #199 ), references = 1, size of lhs = 3:
% 8.43/8.59     P_empty_set-{F}(V0), empty-{F}(V1), pppp14-{F}(V2,V3,V1) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #207: mergings( V0 == V6; #205 ), references = 1, size of lhs = 5:
% 8.43/8.59     P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V1) | pppp0-{T}(V5,V2,V3)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #211: mergings( V0 == V6; #209 ), references = 2, size of lhs = 10:
% 8.43/8.59     P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V2), P_relation_dom_restriction-{F}(V3,V5,V6), V1 == V6 | pppp14-{T}(V1,V3,V2)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #216: exists( #72, #214 ), references = 3, size of lhs = 8:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), pppp13-{F}(V1,V9,V7,V2), P_apply-{F}(V9,V7,V10) | P_apply-{T}(V1,V7,V8)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #224: exists( #72, #66 ), references = 1, size of lhs = 1:
% 8.43/8.59     pppp13-{F}(V0,V0,V1,V2) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #226: exists( #65, #223 ), references = 1, size of lhs = 1:
% 8.43/8.59     pppp14-{F}(V0,V0,V1) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #231: mergings( V3 == V4, V5 == V6; #228 ), references = 2, size of lhs = 5:
% 8.43/8.59     P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V2) | P_relation_dom_restriction-{T}(V1,V3,V1)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #245: mergings( V3 == V4, V4 == V5, V5 == V6; #241 ), references = 2, size of lhs = 6:
% 8.43/8.59     P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V0), pppp11-{F}(V1,V2), P_apply-{F}(V1,V2,V3) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #247: exists( #72, #63 ), references = 2, size of lhs = 7:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V1,V5), P_relation_dom-{F}(V5,V6), P_set_intersection2-{F}(V6,V4,V7), P_apply-{F}(V5,V3,V8) | P_apply-{T}(V1,V3,V8)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #252: exists( #72, #245 ), references = 1, size of lhs = 5:
% 8.43/8.59     P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V0), pppp11-{F}(V1,V2) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #253: exists( #72, #58 ), references = 1, size of lhs = 3:
% 8.43/8.59     P_relation_dom_restriction-{F}(V0,V1,V0), pppp10-{F}(V1,V2,V0), P_relation_dom-{F}(V0,V3) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #255: exists( #54, #250 ), references = 1, size of lhs = 5:
% 8.43/8.59     pppp12-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V1) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #263: mergings( V2 == V3; #261 ), references = 1, size of lhs = 3:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V2) | pppp0-{T}(V3,V1,V1)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #276: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V8, V9 == V10; #270 ), references = 3, size of lhs = 9:
% 8.43/8.59     relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), in-{F}(V5,V4), pppp10-{F}(V3,V5,V0), P_apply-{F}(V0,V5,V6) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #283: mergings( V0 == V6, V2 == V7, V4 == V8, V7 == V9; #278 ), references = 1, size of lhs = 8:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), P_relation_dom-{F}(V5,V6), P_set_intersection2-{F}(V6,V7,V2), P_apply-{F}(V5,V3,V8), V4 == V8 | pppp14-{T}(V1,V5,V2)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #312: mergings( V3 == V4, V6 == V7; #309 ), references = 1, size of lhs = 14:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), pppp13-{F}(V1,V9,V7,V2), pppp13-{F}(V10,V9,V7,V2), P_apply-{F}(V10,V7,V11), pppp0-{F}(V12,V1,V13), P_relation_dom-{F}(V13,V14), P_set_intersection2-{F}(V14,V12,V15), P_apply-{F}(V13,V7,V16), V8 == V16 | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #316: mergings( V3 == V4, V6 == V7; #313 ), references = 2, size of lhs = 11:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), pppp13-{F}(V1,V7,V8,V2), pppp13-{F}(V4,V7,V8,V2), pppp0-{F}(V9,V1,V10), P_relation_dom-{F}(V10,V11), P_set_intersection2-{F}(V11,V9,V12), P_apply-{F}(V10,V8,V13) | P_apply-{T}(V4,V8,V13)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #329: mergings( V0 == V6, V6 == V7, V2 == V8, V4 == V11, V8 == V12, V11 == V13; #321 ), references = 1, size of lhs = 14:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp10-{F}(V5,V3,V6), P_relation_dom_restriction-{F}(V6,V5,V7), P_relation_dom-{F}(V7,V8), P_set_intersection2-{F}(V8,V9,V2), P_apply-{F}(V6,V3,V10), pppp0-{F}(V11,V7,V12), P_relation_dom-{F}(V12,V13), P_set_intersection2-{F}(V13,V11,V14), P_apply-{F}(V12,V3,V15), V4 == V15 | pppp14-{T}(V1,V7,V2)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #339: mergings( V0 == V6, V6 == V8, V2 == V10, V14 == V4, V4 == V16, V10 == V17, V7 == V19, V15 == V20, V13 == V18; #322 ), references = 1, size of lhs = 14:
% 8.43/8.59     relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_relation_dom-{F}(V3,V4), in-{F}(V5,V4), P_apply-{F}(V3,V5,V6), pppp10-{F}(V7,V5,V0), P_set_intersection2-{F}(V2,V7,V8), P_set_intersection2-{F}(V8,V9,V4), P_relation_dom_restriction-{F}(V0,V7,V10), P_relation_dom-{F}(V10,V8), P_apply-{F}(V0,V5,V11) | pppp14-{T}(V3,V10,V4)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #369: mergings( V3 == V10, V8 == V11, V6 == V9; #365 ), references = 1, size of lhs = 10:
% 8.43/8.59     relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), pppp10-{F}(V3,V5,V0), P_relation_dom_restriction-{F}(V0,V3,V6), P_relation_dom-{F}(V6,V4), P_apply-{F}(V0,V5,V7) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #382: mergings( V3 == V4, V4 == V5, V5 == V7, V6 == V0, V8 == V9, V13 == V14, V11 == V1; #374 ), references = 1, size of lhs = 8:
% 8.43/8.59     relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), pppp10-{F}(V3,V5,V0), P_apply-{F}(V0,V5,V6) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #389: mergings( V4 == V5, V5 == V6, V6 == V8, V7 == V3, V10 == V11; #383 ), references = 1, size of lhs = 7:
% 8.43/8.59     relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp10-{F}(V3,V4,V0), P_apply-{F}(V0,V4,V5) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #395: mergings( V3 == V4, V4 == V5, V5 == V6, V8 == V9; #390 ), references = 2, size of lhs = 7:
% 8.43/8.59     relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), pppp11-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3), P_apply-{F}(V0,V1,V4) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #397: exists( #72, #395 ), references = 1, size of lhs = 6:
% 8.43/8.59     relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), pppp11-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #399: exists( #54, #396 ), references = 1, size of lhs = 6:
% 8.43/8.59     pppp12-{F}(V0), relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #401: exists( #71, #398 ), references = 1, size of lhs = 5:
% 8.43/8.59     pppp12-{F}(V0), relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #403: exists( #68, #61 ), references = 1, size of lhs = 6:
% 8.43/8.59     P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), pppp0-{F}(V3,V1,V2) | P_relation_dom_restriction-{T}(V2,V3,V1)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #406: mergings( V0 == V6; #404 ), references = 1, size of lhs = 10:
% 8.43/8.59     P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V2), P_relation_dom_restriction-{F}(V3,V5,V6), V1 == V6 | pppp14-{T}(V1,V3,V2)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #423: exists( #72, #417 ), references = 1, size of lhs = 6:
% 8.43/8.59     P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), P_apply-{F}(V2,V3,V4), pppp10-{F}(V5,V3,V6), P_relation_dom_restriction-{F}(V6,V5,V2) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #424: exists( #72, #418 ), references = 2, size of lhs = 6:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_apply-{F}(V1,V3,V4), pppp10-{F}(V5,V3,V6), P_relation_dom_restriction-{F}(V6,V5,V1) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #436: exists( #72, #434 ), references = 1, size of lhs = 8:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), pppp13-{F}(V9,V1,V7,V2), P_apply-{F}(V9,V7,V10) | P_apply-{T}(V1,V7,V8)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #474: mergings( V5 == V9; #472 ), references = 1, size of lhs = 6:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), pppp13-{F}(V1,V4,V7,V2) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #477: exists( #65, #475 ), references = 1, size of lhs = 7:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp14-{F}(V1,V3,V2), pppp0-{F}(V4,V1,V3), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V4,V6), pppp14-{F}(V7,V8,V9) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #482: mergings( V3 == V6, V5 == V9; #479 ), references = 1, size of lhs = 10:
% 8.43/8.59     relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3), pppp0-{F}(V4,V0,V1), P_relation_dom-{F}(V1,V5), P_set_intersection2-{F}(V5,V6,V3), P_set_intersection2-{F}(V5,V4,V7) | P_relation_dom_restriction-{T}(V1,V6,V0)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #498: exists( #72, #424 ), references = 1, size of lhs = 5:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), pppp10-{F}(V4,V3,V5), P_relation_dom_restriction-{F}(V5,V4,V1) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #501: exists( #72, #499 ), references = 2, size of lhs = 6:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_apply-{F}(V3,V2,V4), pppp13-{F}(V3,V5,V2,V6), pppp10-{F}(V7,V6,V8), P_relation_dom_restriction-{F}(V8,V7,V1) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #529: mergings( V0 == V6; #527 ), references = 1, size of lhs = 10:
% 8.43/8.59     P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V2), P_relation_dom_restriction-{F}(V3,V5,V6), V1 == V6 | pppp14-{T}(V1,V3,V2)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #538: mergings( V3 == V4, V6 == V17; #535 ), references = 1, size of lhs = 14:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), pppp0-{F}(V7,V1,V8), P_relation_dom-{F}(V8,V9), P_set_intersection2-{F}(V9,V7,V10), pppp10-{F}(V11,V2,V12), P_relation_dom_restriction-{F}(V12,V11,V13), P_relation_dom-{F}(V13,V14), pppp13-{F}(V1,V15,V14,V2), pppp13-{F}(V4,V15,V14,V2), pppp13-{F}(V4,V16,V14,V2) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #553: exists( #72, #551 ), references = 1, size of lhs = 9:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), pppp10-{F}(V9,V7,V10), P_relation_dom_restriction-{F}(V10,V9,V1), P_apply-{F}(V10,V7,V11) | P_apply-{T}(V1,V7,V8)
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #561: mergings( V3 == V4, V10 == V13, V9 == V14, V11 == V12; #556 ), references = 1, size of lhs = 9:
% 8.43/8.59     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V4,V5), P_apply-{F}(V6,V4,V5), pppp10-{F}(V7,V4,V6), P_relation_dom_restriction-{F}(V6,V7,V8), pppp0-{F}(V9,V8,V1), pppp0-{F}(V9,V8,V3) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #571: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V10 == V11; #565 ), references = 1, size of lhs = 6:
% 8.43/8.59     relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp10-{F}(V3,V4,V0), P_apply-{F}(V0,V4,V5) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #577: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #572 ), references = 1, size of lhs = 5:
% 8.43/8.59     relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp10-{F}(V3,V4,V0) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #583: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #578 ), references = 1, size of lhs = 5:
% 8.43/8.59     relation-{F}(V0), function-{F}(V0), pppp11-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #589: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7; #584 ), references = 1, size of lhs = 4:
% 8.43/8.59     relation-{F}(V0), function-{F}(V0), pppp11-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #595: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #590 ), references = 1, size of lhs = 4:
% 8.43/8.59     pppp12-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #604: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #598 ), references = 1, size of lhs = 1:
% 8.43/8.59     P_empty_set-{F}(V0) | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  #606: exists( #69, #598 ), references = 1, size of lhs = 0:
% 8.43/8.59     FALSE | FALSE
% 8.43/8.59        (used 0 times, uses = {})
% 8.43/8.59  
% 8.43/8.59  number of learnt formulas = 69
% 8.43/8.59  
% 8.43/8.59  
% 8.43/8.59  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.43/8.59  
% 8.43/8.59  randbase = 1
%------------------------------------------------------------------------------