TSTP Solution File: GEO637+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GEO637+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n017.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 06:02:44 EDT 2022

% Result   : Theorem 17.27s 17.50s
% Output   : Refutation 17.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO637+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri Jul 22 17:43:59 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 17.27/17.50  GeoParameters:
% 17.27/17.50  
% 17.27/17.50  tptp_input =     1
% 17.27/17.50  tptp_output =    0
% 17.27/17.50  nonempty =       1
% 17.27/17.50  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.27/17.50  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 17.27/17.50  
% 17.27/17.50  
% 17.27/17.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.27/17.50  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.27/17.50  
% 17.27/17.50  RuleSystem INPUT:
% 17.27/17.50  
% 17.27/17.50  Initial Rules:
% 17.27/17.50  #0: input, references = 5, size of lhs = 1:
% 17.27/17.50     coll-{F}(V0,V1,V2) | coll-{T}(V0,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #1: input, references = 6, size of lhs = 1:
% 17.27/17.50     coll-{F}(V0,V1,V2) | coll-{T}(V1,V0,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #2: input, references = 5, size of lhs = 2:
% 17.27/17.50     coll-{F}(V0,V3,V1), coll-{F}(V0,V3,V2) | coll-{T}(V1,V2,V0)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #3: input, references = 8, size of lhs = 1:
% 17.27/17.50     para-{F}(V0,V1,V2,V3) | para-{T}(V0,V1,V3,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #4: input, references = 6, size of lhs = 1:
% 17.27/17.50     para-{F}(V0,V1,V2,V3) | para-{T}(V2,V3,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #5: input, references = 3, size of lhs = 2:
% 17.27/17.50     para-{F}(V0,V1,V2,V3), para-{F}(V5,V4,V0,V1) | para-{T}(V5,V4,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #6: input, references = 5, size of lhs = 1:
% 17.27/17.50     perp-{F}(V0,V1,V2,V3) | perp-{T}(V0,V1,V3,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #7: input, references = 7, size of lhs = 1:
% 17.27/17.50     perp-{F}(V0,V1,V2,V3) | perp-{T}(V2,V3,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #8: input, references = 7, size of lhs = 2:
% 17.27/17.50     perp-{F}(V0,V1,V2,V3), perp-{F}(V5,V4,V0,V1) | para-{T}(V5,V4,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #9: input, references = 3, size of lhs = 2:
% 17.27/17.50     perp-{F}(V0,V1,V2,V3), para-{F}(V5,V4,V0,V1) | perp-{T}(V5,V4,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #10: input, references = 3, size of lhs = 1:
% 17.27/17.50     midp-{F}(V2,V1,V0) | midp-{T}(V2,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #11: input, references = 3, size of lhs = 2:
% 17.27/17.50     cong-{F}(V2,V0,V2,V1), cong-{F}(V2,V0,V2,V3) | circle-{T}(V2,V0,V3,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #12: input, references = 3, size of lhs = 3:
% 17.27/17.50     cong-{F}(V2,V0,V2,V1), cong-{F}(V2,V0,V2,V3), cong-{F}(V2,V0,V2,V4) | cyclic-{T}(V0,V4,V3,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #13: input, references = 9, size of lhs = 1:
% 17.27/17.50     cyclic-{F}(V0,V1,V2,V3) | cyclic-{T}(V0,V1,V3,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #14: input, references = 9, size of lhs = 1:
% 17.27/17.50     cyclic-{F}(V0,V1,V2,V3) | cyclic-{T}(V0,V2,V1,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #15: input, references = 9, size of lhs = 1:
% 17.27/17.50     cyclic-{F}(V0,V1,V2,V3) | cyclic-{T}(V1,V0,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #16: input, references = 6, size of lhs = 2:
% 17.27/17.50     cyclic-{F}(V4,V0,V1,V2), cyclic-{F}(V4,V0,V1,V3) | cyclic-{T}(V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #17: input, references = 20, size of lhs = 1:
% 17.27/17.50     eqangle-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqangle-{T}(V1,V0,V2,V3,V4,V5,V6,V7)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #18: input, references = 12, size of lhs = 1:
% 17.27/17.50     eqangle-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqangle-{T}(V2,V3,V0,V1,V6,V7,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #19: input, references = 16, size of lhs = 1:
% 17.27/17.50     eqangle-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqangle-{T}(V4,V5,V6,V7,V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #20: input, references = 8, size of lhs = 1:
% 17.27/17.50     eqangle-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqangle-{T}(V0,V1,V4,V5,V2,V3,V6,V7)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #21: input, references = 6, size of lhs = 2:
% 17.27/17.50     eqangle-{F}(V0,V1,V2,V3,V4,V5,V6,V7), eqangle-{F}(V11,V10,V9,V8,V0,V1,V2,V3) | eqangle-{T}(V11,V10,V9,V8,V4,V5,V6,V7)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #22: input, references = 3, size of lhs = 1:
% 17.27/17.50     cong-{F}(V0,V1,V2,V3) | cong-{T}(V0,V1,V3,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #23: input, references = 3, size of lhs = 1:
% 17.27/17.50     cong-{F}(V0,V1,V2,V3) | cong-{T}(V2,V3,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #24: input, references = 3, size of lhs = 2:
% 17.27/17.50     cong-{F}(V0,V1,V2,V3), cong-{F}(V5,V4,V0,V1) | cong-{T}(V5,V4,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #25: input, references = 3, size of lhs = 1:
% 17.27/17.50     eqratio-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqratio-{T}(V1,V0,V2,V3,V4,V5,V6,V7)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #26: input, references = 3, size of lhs = 1:
% 17.27/17.50     eqratio-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqratio-{T}(V2,V3,V0,V1,V6,V7,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #27: input, references = 3, size of lhs = 1:
% 17.27/17.50     eqratio-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqratio-{T}(V4,V5,V6,V7,V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #28: input, references = 3, size of lhs = 1:
% 17.27/17.50     eqratio-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | eqratio-{T}(V0,V1,V4,V5,V2,V3,V6,V7)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #29: input, references = 3, size of lhs = 2:
% 17.27/17.50     eqratio-{F}(V4,V5,V6,V7,V0,V1,V2,V3), eqratio-{F}(V11,V10,V9,V8,V4,V5,V6,V7) | eqratio-{T}(V11,V10,V9,V8,V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #30: input, references = 3, size of lhs = 1:
% 17.27/17.50     simtri-{F}(V0,V2,V1,V3,V5,V4) | simtri-{T}(V0,V1,V2,V3,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #31: input, references = 3, size of lhs = 1:
% 17.27/17.50     simtri-{F}(V1,V0,V2,V4,V3,V5) | simtri-{T}(V0,V1,V2,V3,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #32: input, references = 3, size of lhs = 1:
% 17.27/17.50     simtri-{F}(V3,V4,V5,V0,V1,V2) | simtri-{T}(V0,V1,V2,V3,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #33: input, references = 3, size of lhs = 2:
% 17.27/17.50     simtri-{F}(V0,V1,V2,V3,V4,V5), simtri-{F}(V8,V7,V6,V0,V1,V2) | simtri-{T}(V8,V7,V6,V3,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #34: input, references = 3, size of lhs = 1:
% 17.27/17.50     contri-{F}(V0,V2,V1,V3,V5,V4) | contri-{T}(V0,V1,V2,V3,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #35: input, references = 3, size of lhs = 1:
% 17.27/17.50     contri-{F}(V1,V0,V2,V4,V3,V5) | contri-{T}(V0,V1,V2,V3,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #36: input, references = 3, size of lhs = 1:
% 17.27/17.50     contri-{F}(V3,V4,V5,V0,V1,V2) | contri-{T}(V0,V1,V2,V3,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #37: input, references = 3, size of lhs = 2:
% 17.27/17.50     contri-{F}(V0,V1,V2,V3,V4,V5), contri-{F}(V8,V7,V6,V0,V1,V2) | contri-{T}(V8,V7,V6,V3,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #38: input, references = 3, size of lhs = 1:
% 17.27/17.50     eqangle-{F}(V0,V1,V5,V4,V2,V3,V5,V4) | para-{T}(V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #39: input, references = 8, size of lhs = 3:
% 17.27/17.50     para-{F}(V0,V1,V2,V3), #-{F} V4, #-{F} V5 | eqangle-{T}(V0,V1,V5,V4,V2,V3,V5,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #40: input, references = 3, size of lhs = 1:
% 17.27/17.50     cyclic-{F}(V0,V1,V2,V3) | eqangle-{T}(V2,V0,V2,V1,V3,V0,V3,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #41: input, references = 3, size of lhs = 1:
% 17.27/17.50     eqangle-{F}(V1,V0,V1,V3,V2,V0,V2,V3) | coll-{T}(V1,V2,V0), cyclic-{T}(V0,V3,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #42: input, references = 7, size of lhs = 2:
% 17.27/17.50     coll-{F}(V1,V2,V0), eqangle-{F}(V1,V3,V1,V0,V2,V3,V2,V0) | cyclic-{T}(V3,V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #43: input, references = 3, size of lhs = 4:
% 17.27/17.50     cyclic-{F}(V0,V1,V4,V2), cyclic-{F}(V0,V1,V4,V3), cyclic-{F}(V0,V1,V4,V5), eqangle-{F}(V4,V0,V4,V1,V5,V2,V5,V3) | cong-{T}(V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #44: input, references = 3, size of lhs = 2:
% 17.27/17.50     midp-{F}(V2,V4,V0), midp-{F}(V3,V4,V1) | para-{T}(V2,V3,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #45: input, references = 3, size of lhs = 3:
% 17.27/17.50     coll-{F}(V2,V0,V1), midp-{F}(V3,V0,V4), para-{F}(V3,V2,V4,V1) | midp-{T}(V2,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #46: input, references = 3, size of lhs = 1:
% 17.27/17.50     cong-{F}(V2,V0,V2,V1) | eqangle-{T}(V2,V0,V0,V1,V0,V1,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #47: input, references = 3, size of lhs = 1:
% 17.27/17.50     eqangle-{F}(V2,V0,V0,V1,V0,V1,V2,V1) | coll-{T}(V2,V0,V1), cong-{T}(V2,V0,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #48: input, references = 3, size of lhs = 2:
% 17.27/17.50     perp-{F}(V1,V0,V0,V2), circle-{F}(V1,V0,V4,V3) | eqangle-{T}(V0,V2,V0,V4,V3,V0,V3,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #49: input, references = 3, size of lhs = 2:
% 17.27/17.50     circle-{F}(V1,V0,V4,V3), eqangle-{F}(V0,V2,V0,V4,V3,V0,V3,V4) | perp-{T}(V1,V0,V0,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #50: input, references = 3, size of lhs = 2:
% 17.27/17.50     midp-{F}(V2,V0,V1), circle-{F}(V3,V4,V0,V1) | eqangle-{T}(V4,V0,V4,V1,V3,V0,V3,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #51: input, references = 3, size of lhs = 3:
% 17.27/17.50     coll-{F}(V2,V0,V1), circle-{F}(V3,V4,V0,V1), eqangle-{F}(V4,V0,V4,V1,V3,V0,V3,V2) | midp-{T}(V2,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #52: input, references = 3, size of lhs = 2:
% 17.27/17.50     midp-{F}(V2,V0,V1), perp-{F}(V0,V3,V3,V1) | cong-{T}(V0,V2,V3,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #53: input, references = 3, size of lhs = 2:
% 17.27/17.50     coll-{F}(V2,V0,V1), circle-{F}(V2,V0,V3,V1) | perp-{T}(V0,V3,V3,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #54: input, references = 3, size of lhs = 2:
% 17.27/17.50     cyclic-{F}(V0,V1,V2,V3), para-{F}(V0,V1,V2,V3) | eqangle-{T}(V0,V3,V2,V3,V2,V3,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #55: input, references = 3, size of lhs = 2:
% 17.27/17.50     midp-{F}(V3,V0,V1), perp-{F}(V2,V3,V0,V1) | cong-{T}(V2,V0,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #56: input, references = 3, size of lhs = 2:
% 17.27/17.50     cong-{F}(V0,V2,V1,V2), cong-{F}(V0,V3,V1,V3) | perp-{T}(V0,V1,V3,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #57: input, references = 3, size of lhs = 3:
% 17.27/17.50     cong-{F}(V0,V1,V3,V1), cong-{F}(V0,V2,V3,V2), cyclic-{F}(V0,V3,V1,V2) | perp-{T}(V1,V0,V0,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #58: input, references = 3, size of lhs = 2:
% 17.27/17.50     eqangle-{F}(V0,V1,V1,V2,V5,V4,V4,V3), eqangle-{F}(V0,V2,V1,V2,V5,V3,V4,V3) | coll-{T}(V0,V1,V2), simtri-{T}(V0,V1,V2,V5,V4,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #59: input, references = 3, size of lhs = 1:
% 17.27/17.50     simtri-{F}(V0,V1,V2,V3,V4,V5) | eqratio-{T}(V0,V1,V0,V2,V3,V4,V3,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #60: input, references = 3, size of lhs = 1:
% 17.27/17.50     simtri-{F}(V0,V1,V2,V3,V4,V5) | eqangle-{T}(V0,V1,V1,V2,V3,V4,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #61: input, references = 3, size of lhs = 2:
% 17.27/17.50     cong-{F}(V0,V1,V2,V3), simtri-{F}(V0,V1,V5,V2,V3,V4) | contri-{T}(V0,V1,V5,V2,V3,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #62: input, references = 3, size of lhs = 1:
% 17.27/17.50     contri-{F}(V0,V1,V5,V2,V3,V4) | cong-{T}(V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #63: input, references = 3, size of lhs = 2:
% 17.27/17.50     midp-{F}(V2,V0,V1), midp-{F}(V2,V4,V3) | para-{T}(V4,V0,V3,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #64: input, references = 3, size of lhs = 3:
% 17.27/17.50     para-{F}(V0,V2,V1,V3), para-{F}(V0,V3,V1,V2), midp-{F}(V4,V0,V1) | midp-{T}(V4,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #65: input, references = 3, size of lhs = 3:
% 17.27/17.50     coll-{F}(V2,V0,V1), para-{F}(V4,V0,V3,V1), coll-{F}(V2,V4,V3) | eqratio-{T}(V2,V4,V4,V3,V2,V0,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #66: input, references = 7, size of lhs = 1:
% 17.27/17.50     para-{F}(V0,V1,V0,V2) | coll-{T}(V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #67: input, references = 3, size of lhs = 2:
% 17.27/17.50     cong-{F}(V0,V1,V0,V2), coll-{F}(V0,V1,V2) | midp-{T}(V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #68: input, references = 3, size of lhs = 1:
% 17.27/17.50     midp-{F}(V0,V1,V2) | cong-{T}(V0,V1,V0,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #69: input, references = 3, size of lhs = 1:
% 17.27/17.50     midp-{F}(V0,V1,V2) | coll-{T}(V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #70: input, references = 3, size of lhs = 2:
% 17.27/17.50     midp-{F}(V2,V0,V1), midp-{F}(V3,V5,V4) | eqratio-{T}(V3,V5,V5,V4,V2,V0,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #71: input, references = 3, size of lhs = 1:
% 17.27/17.50     eqangle-{F}(V0,V1,V2,V3,V2,V3,V0,V1) | para-{T}(V0,V1,V2,V3), perp-{T}(V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #72: input, references = 3, size of lhs = 1:
% 17.27/17.50     eqangle-{F}(V0,V1,V2,V3,V2,V3,V0,V1) | perp-{T}(V0,V1,V2,V3), para-{T}(V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #73: input, references = 3, size of lhs = 2:
% 17.27/17.50     para-{F}(V0,V1,V2,V3), eqangle-{F}(V7,V6,V5,V4,V0,V1,V2,V3) | para-{T}(V7,V6,V5,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #74: input, references = 3, size of lhs = 2:
% 17.27/17.50     perp-{F}(V0,V1,V2,V3), eqangle-{F}(V7,V6,V5,V4,V0,V1,V2,V3) | perp-{T}(V7,V6,V5,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #75: input, references = 3, size of lhs = 2:
% 17.27/17.50     cong-{F}(V0,V1,V2,V3), eqratio-{F}(V7,V6,V5,V4,V0,V1,V2,V3) | cong-{T}(V7,V6,V5,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #76: input, references = 3, size of lhs = 2:
% 17.27/17.50     perp-{F}(V2,V1,V1,V0), eqangle-{F}(V3,V2,V1,V2,V1,V2,V0,V2) | EXISTS V4: pppp0-{T}(V0,V4,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #77: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp0-{F}(V0,V1,V2,V3,V4) | coll-{T}(V1,V3,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #78: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp0-{F}(V0,V1,V2,V3,V4) | coll-{T}(V1,V0,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #79: input, references = 3, size of lhs = 2:
% 17.27/17.50     cong-{F}(V2,V0,V2,V1), eqangle-{F}(V0,V2,V2,V3,V2,V3,V2,V1) | EXISTS V4: pppp1-{T}(V0,V1,V4,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #80: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp1-{F}(V0,V1,V2,V3,V4) | coll-{T}(V2,V3,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #81: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp1-{F}(V0,V1,V2,V3,V4) | coll-{T}(V1,V0,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #82: input, references = 3, size of lhs = 2:
% 17.27/17.50     perp-{F}(V2,V3,V0,V1), eqangle-{F}(V0,V2,V2,V3,V2,V3,V2,V1) | EXISTS V4: pppp2-{T}(V0,V1,V4,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #83: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp2-{F}(V0,V1,V2,V3,V4) | coll-{T}(V2,V3,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #84: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp2-{F}(V0,V1,V2,V3,V4) | coll-{T}(V1,V0,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #85: input, references = 3, size of lhs = 2:
% 17.27/17.50     cong-{F}(V2,V0,V2,V1), perp-{F}(V2,V3,V0,V1) | EXISTS V4: pppp3-{T}(V0,V1,V4,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #86: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp3-{F}(V0,V1,V2,V3,V4) | coll-{T}(V2,V3,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #87: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp3-{F}(V0,V1,V2,V3,V4) | coll-{T}(V1,V0,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #88: input, references = 3, size of lhs = 1:
% 17.27/17.50     eqangle-{F}(V0,V2,V1,V2,V0,V3,V1,V4) | coll-{T}(V0,V1,V2), pppp27-{T}(V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #89: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp27-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V1,V2,V4,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #90: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp4-{F}(V0,V1,V2,V3,V4) | cyclic-{T}(V4,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #91: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp4-{F}(V0,V1,V2,V3,V4) | eqangle-{T}(V0,V2,V1,V2,V0,V3,V1,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #92: input, references = 3, size of lhs = 2:
% 17.27/17.50     midp-{F}(V2,V0,V1), midp-{F}(V3,V5,V4) | EXISTS V6: pppp5-{T}(V5,V4,V0,V1,V3,V6,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #93: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp5-{F}(V0,V1,V2,V3,V4,V5,V6) | para-{T}(V5,V6,V0,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #94: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp5-{F}(V0,V1,V2,V3,V4,V5,V6) | para-{T}(V5,V4,V1,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #95: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp5-{F}(V0,V1,V2,V3,V4,V5,V6) | midp-{T}(V5,V0,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #96: input, references = 3, size of lhs = 5:
% 17.27/17.50     #-{F} V1, midp-{F}(V4,V0,V3), coll-{F}(V5,V0,V3), coll-{F}(V6,V0,V3), midp-{F}(V7,V6,V5) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #97: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp6-{F}(V0,V1,V2) | midp-{T}(V2,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #98: input, references = 3, size of lhs = 4:
% 17.27/17.50     coll-{F}(V0,V1,V2), para-{F}(V4,V0,V2,V3), midp-{F}(V3,V4,V6), para-{F}(V4,V0,V6,V1) | EXISTS V5: pppp7-{T}(V4,V3,V1,V2,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #99: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp7-{F}(V0,V1,V2,V3,V4) | coll-{T}(V4,V1,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #100: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp7-{F}(V0,V1,V2,V3,V4) | coll-{T}(V4,V0,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #101: input, references = 3, size of lhs = 2:
% 17.27/17.50     cong-{F}(V1,V0,V1,V2), perp-{F}(V4,V3,V3,V1) | EXISTS V5: pppp8-{T}(V4,V3,V0,V1,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #102: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp8-{F}(V0,V1,V2,V3,V4) | cong-{T}(V1,V2,V1,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #103: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp8-{F}(V0,V1,V2,V3,V4) | para-{T}(V4,V2,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #104: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp8-{F}(V0,V1,V2,V3,V4) | cong-{T}(V3,V2,V3,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #105: input, references = 3, size of lhs = 2:
% 17.27/17.50     perp-{F}(V0,V4,V1,V2), perp-{F}(V1,V4,V0,V2) | EXISTS V3: pppp9-{T}(V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #106: input, references = 3, size of lhs = 2:
% 17.27/17.50     perp-{F}(V0,V4,V1,V2), perp-{F}(V1,V4,V0,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #107: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp10-{F}(V0,V1,V2,V3) | perp-{T}(V0,V3,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #108: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp10-{F}(V0,V1,V2,V3) | coll-{T}(V3,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #109: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp9-{F}(V0,V1,V2,V3) | perp-{T}(V1,V3,V2,V0)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #110: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp9-{F}(V0,V1,V2,V3) | coll-{T}(V3,V2,V0)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #111: input, references = 3, size of lhs = 1:
% 17.27/17.50     circle-{F}(V1,V0,V4,V3) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #112: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp11-{F}(V0,V1,V2) | perp-{T}(V2,V0,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #113: input, references = 3, size of lhs = 4:
% 17.27/17.50     cong-{F}(V0,V3,V0,V2), cong-{F}(V1,V3,V1,V4), circle-{F}(V0,V3,V4,V5), V0 == V1 | EXISTS V6: pppp12-{T}(V3,V4,V2,V6,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #114: input, references = 3, size of lhs = 4:
% 17.27/17.50     cong-{F}(V0,V3,V0,V2), cong-{F}(V1,V3,V1,V4), circle-{F}(V0,V3,V4,V5), V0 == V1 | EXISTS V6: pppp13-{T}(V3,V5,V6,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #115: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp13-{F}(V0,V1,V2,V3) | cong-{T}(V2,V3,V3,V0)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #116: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp13-{F}(V0,V1,V2,V3) | coll-{T}(V2,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #117: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp12-{F}(V0,V1,V2,V3,V4) | cong-{T}(V3,V4,V4,V0)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #118: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp12-{F}(V0,V1,V2,V3,V4) | coll-{T}(V3,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #119: input, references = 3, size of lhs = 3:
% 17.27/17.50     midp-{F}(V2,V0,V1), cyclic-{F}(V0,V1,V3,V5), para-{F}(V0,V1,V3,V5) | EXISTS V4: pppp14-{T}(V0,V1,V3,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #120: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp14-{F}(V0,V1,V2,V3) | circle-{T}(V3,V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #121: input, references = 3, size of lhs = 2:
% 17.27/17.50     perp-{F}(V0,V2,V2,V1), cyclic-{F}(V0,V1,V2,V4) | EXISTS V3: pppp15-{T}(V0,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #122: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp15-{F}(V0,V1,V2,V3) | circle-{T}(V3,V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #123: input, references = 3, size of lhs = 2:
% 17.27/17.50     coll-{F}(V0,V1,V2), perp-{F}(V3,V5,V5,V0) | EXISTS V4: pppp16-{T}(V3,V1,V2,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #124: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp16-{F}(V0,V1,V2,V3) | perp-{T}(V3,V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #125: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp16-{F}(V0,V1,V2,V3) | coll-{T}(V3,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #126: input, references = 3, size of lhs = 3:
% 17.27/17.50     perp-{F}(V1,V0,V1,V3), perp-{F}(V0,V4,V0,V1), midp-{F}(V5,V4,V3) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #127: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp17-{F}(V0,V1,V2) | midp-{T}(V2,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #128: input, references = 3, size of lhs = 2:
% 17.27/17.50     cong-{F}(V1,V0,V1,V3), perp-{F}(V0,V1,V1,V3) | EXISTS V2: pppp18-{T}(V0,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #129: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp18-{F}(V0,V1,V2) | cong-{T}(V2,V0,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #130: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp18-{F}(V0,V1,V2) | coll-{T}(V0,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #131: input, references = 3, size of lhs = 4:
% 17.27/17.50     coll-{F}(V2,V0,V1), para-{F}(V4,V0,V3,V1), coll-{F}(V2,V4,V3), coll-{F}(V5,V4,V0) | EXISTS V6: pppp19-{T}(V3,V1,V2,V5,V6)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #132: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp19-{F}(V0,V1,V2,V3,V4) | coll-{T}(V4,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #133: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp19-{F}(V0,V1,V2,V3,V4) | coll-{T}(V2,V3,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #134: input, references = 4, size of lhs = 0:
% 17.27/17.50     FALSE | EXISTS V0: pppp26-{T}(V0)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #135: input, references = 4, size of lhs = 1:
% 17.27/17.50     pppp26-{F}(V0) | EXISTS V1: pppp25-{T}(V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #136: input, references = 5, size of lhs = 1:
% 17.27/17.50     pppp25-{F}(V0,V1) | EXISTS V2: pppp24-{T}(V0,V2,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #137: input, references = 4, size of lhs = 1:
% 17.27/17.50     pppp24-{F}(V0,V1,V2) | EXISTS V3: pppp23-{T}(V0,V3,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #138: input, references = 5, size of lhs = 1:
% 17.27/17.50     pppp24-{F}(V0,V1,V2) | perp-{T}(V0,V2,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #139: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp23-{F}(V0,V1,V2,V3) | EXISTS V4: pppp22-{T}(V0,V4,V1,V2,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #140: input, references = 4, size of lhs = 2:
% 17.27/17.50     pppp23-{F}(V0,V1,V2,V3), cyclic-{F}(V0,V3,V2,V1) | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #141: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp22-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp21-{T}(V0,V5,V1,V2,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #142: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp22-{F}(V0,V1,V2,V3,V4) | perp-{T}(V1,V4,V1,V3)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #143: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp21-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp20-{T}(V1,V2,V3,V4,V5)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #144: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp21-{F}(V0,V1,V2,V3,V4) | coll-{T}(V3,V0,V1)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #145: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp21-{F}(V0,V1,V2,V3,V4) | circle-{T}(V4,V0,V1,V2)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #146: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp20-{F}(V0,V1,V2,V3,V4) | coll-{T}(V2,V3,V4)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #147: input, references = 3, size of lhs = 1:
% 17.27/17.50     pppp20-{F}(V0,V1,V2,V3,V4) | midp-{T}(V4,V1,V0)
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  number of initial rules = 148
% 17.27/17.50  
% 17.27/17.50  Simplifiers:
% 17.27/17.50  #148: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #149: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #150: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #151: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #152: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #153: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp5-{F}(V0,V1,V2,V3,V4,V5,V6), pppp5-{F}(V0,V1,V2,V3,V4,V12,V6), V5 == V12 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #154: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #155: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #156: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #157: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #158: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #159: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #160: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #161: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #162: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #163: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #164: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #165: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #166: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V2), V1 == V4 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #167: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #168: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp20-{F}(V0,V1,V2,V3,V4), pppp20-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #169: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp21-{F}(V0,V1,V2,V3,V4), pppp21-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #170: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp21-{F}(V0,V1,V2,V3,V4), pppp21-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #171: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp21-{F}(V0,V1,V2,V3,V4), pppp21-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #172: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #173: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V0,V6,V7,V3,V4), V2 == V7 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #174: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V0,V6,V7,V8,V4), V3 == V8 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #175: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #176: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #177: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #178: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #179: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #180: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #181: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V4,V2), V1 == V4 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #182: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V4,V5), V2 == V5 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #183: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp24-{F}(V0,V1,V2), pppp24-{F}(V3,V4,V5), V0 == V3 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #184: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp25-{F}(V0,V1), pppp25-{F}(V0,V3), V1 == V3 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #185: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp25-{F}(V0,V1), pppp25-{F}(V2,V3), V0 == V2 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #186: unsound, references = 3, size of lhs = 3:
% 17.27/17.50     pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  number of simplifiers = 39
% 17.27/17.50  
% 17.27/17.50  Learnt:
% 17.27/17.50  #217: exists( #137, #215 ), references = 3, size of lhs = 5:
% 17.27/17.50     para-{F}(V0,V1,V1,V0), coll-{F}(V0,V0,V1), cyclic-{F}(V0,V1,V0,V2), cyclic-{F}(V0,V1,V2,V3), pppp24-{F}(V1,V3,V2) | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #254: exists( #136, #252 ), references = 1, size of lhs = 1:
% 17.27/17.50     pppp25-{F}(V0,V0) | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #359: exists( #136, #357 ), references = 1, size of lhs = 1:
% 17.27/17.50     pppp25-{F}(V0,V1) | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #361: exists( #135, #358 ), references = 1, size of lhs = 1:
% 17.27/17.50     pppp26-{F}(V0) | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  #363: exists( #134, #360 ), references = 1, size of lhs = 0:
% 17.27/17.50     FALSE | FALSE
% 17.27/17.50        (used 0 times, uses = {})
% 17.27/17.50  
% 17.27/17.50  number of learnt formulas = 5
% 17.27/17.50  
% 17.27/17.50  
% 17.27/17.50  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.27/17.50  
% 17.27/17.50  randbase = 1
%------------------------------------------------------------------------------