TSTP Solution File: GEO080-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GEO080-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n026.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 06:01:39 EDT 2022

% Result   : Unsatisfiable 31.63s 31.86s
% Output   : Refutation 31.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO080-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n026.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 18:04:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 31.63/31.86  GeoParameters:
% 31.63/31.86  
% 31.63/31.86  tptp_input =     1
% 31.63/31.86  tptp_output =    0
% 31.63/31.86  nonempty =       1
% 31.63/31.86  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.63/31.86  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 31.63/31.86  
% 31.63/31.86  
% 31.63/31.86  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.63/31.86  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.63/31.86  
% 31.63/31.86  RuleSystem INPUT:
% 31.63/31.86  
% 31.63/31.86  Initial Rules:
% 31.63/31.86  #0: input, references = 5, size of lhs = 2:
% 31.63/31.86     part_of-{F}(V2,V0), incident_c-{F}(V1,V2) | incident_c-{T}(V1,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1: input, references = 7, size of lhs = 1:
% 31.63/31.86     P_ax0_sk1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), part_of-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #2: input, references = 21, size of lhs = 2:
% 31.63/31.86     P_ax0_sk1-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | part_of-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #3: input, references = 3, size of lhs = 2:
% 31.63/31.86     P_sum-{F}(V2,V0,V3), incident_c-{F}(V1,V3) | incident_c-{T}(V1,V0), incident_c-{T}(V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #4: input, references = 25, size of lhs = 2:
% 31.63/31.86     incident_c-{F}(V1,V0), P_sum-{F}(V0,V3,V4) | incident_c-{T}(V1,V4)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #5: input, references = 4, size of lhs = 2:
% 31.63/31.86     incident_c-{F}(V1,V0), P_sum-{F}(V3,V0,V4) | incident_c-{T}(V1,V4)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #6: input, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk2-{F}(V0,V1,V2,V3), P_sum-{F}(V1,V0,V4), V2 == V4 | incident_c-{T}(V3,V2), incident_c-{T}(V3,V1), incident_c-{T}(V3,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #7: input, references = 6, size of lhs = 5:
% 31.63/31.86     P_ax0_sk2-{F}(V0,V1,V2,V3), P_sum-{F}(V1,V0,V4), incident_c-{F}(V3,V1), incident_c-{F}(V3,V2), V2 == V4 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #8: input, references = 6, size of lhs = 5:
% 31.63/31.86     P_ax0_sk2-{F}(V0,V1,V2,V3), P_sum-{F}(V1,V0,V4), incident_c-{F}(V3,V0), incident_c-{F}(V3,V2), V2 == V4 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #9: input, references = 12, size of lhs = 1:
% 31.63/31.86     end_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #10: input, references = 3, size of lhs = 5:
% 31.63/31.86     part_of-{F}(V0,V2), part_of-{F}(V1,V2), end_point-{F}(V3,V2), incident_c-{F}(V3,V0), incident_c-{F}(V3,V1) | part_of-{T}(V0,V1), part_of-{T}(V1,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #11: input, references = 3, size of lhs = 2:
% 31.63/31.86     P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #12: input, references = 3, size of lhs = 2:
% 31.63/31.86     P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #13: input, references = 3, size of lhs = 2:
% 31.63/31.86     P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #14: input, references = 3, size of lhs = 2:
% 31.63/31.86     P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #15: input, references = 13, size of lhs = 4:
% 31.63/31.86     P_ax0_sk3-{F}(V1,V0,V2), P_ax0_sk4-{F}(V1,V0,V3), incident_c-{F}(V0,V1), part_of-{F}(V2,V3) | end_point-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #16: input, references = 3, size of lhs = 4:
% 31.63/31.86     P_ax0_sk4-{F}(V1,V0,V2), P_ax0_sk3-{F}(V1,V0,V3), incident_c-{F}(V0,V1), part_of-{F}(V2,V3) | end_point-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #17: input, references = 3, size of lhs = 1:
% 31.63/31.86     inner_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #18: input, references = 10, size of lhs = 2:
% 31.63/31.86     inner_point-{F}(V0,V1), end_point-{F}(V0,V1) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #19: input, references = 5, size of lhs = 1:
% 31.63/31.86     incident_c-{F}(V0,V1) | end_point-{T}(V0,V1), inner_point-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #20: input, references = 12, size of lhs = 1:
% 31.63/31.86     meet-{F}(V0,V1,V2) | incident_c-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #21: input, references = 14, size of lhs = 1:
% 31.63/31.86     meet-{F}(V0,V2,V1) | incident_c-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #22: input, references = 13, size of lhs = 3:
% 31.63/31.86     incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V0,V2) | end_point-{T}(V1,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #23: input, references = 4, size of lhs = 3:
% 31.63/31.86     incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V2,V0) | end_point-{T}(V1,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #24: input, references = 3, size of lhs = 3:
% 31.63/31.86     incident_c-{F}(V0,V1), P_ax0_sk5-{F}(V1,V2,V0,V3), incident_c-{F}(V0,V2) | incident_c-{T}(V3,V2), meet-{T}(V0,V2,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #25: input, references = 3, size of lhs = 3:
% 31.63/31.86     incident_c-{F}(V0,V1), P_ax0_sk5-{F}(V1,V2,V0,V3), incident_c-{F}(V0,V2) | incident_c-{T}(V3,V1), meet-{T}(V0,V2,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #26: input, references = 3, size of lhs = 5:
% 31.63/31.86     incident_c-{F}(V0,V1), P_ax0_sk5-{F}(V1,V2,V0,V3), incident_c-{F}(V0,V2), end_point-{F}(V3,V2), end_point-{F}(V3,V1) | meet-{T}(V0,V2,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #27: input, references = 8, size of lhs = 2:
% 31.63/31.86     closed-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #28: input, references = 5, size of lhs = 1:
% 31.63/31.86     P_ax0_sk6-{F}(V0,V1) | end_point-{T}(V1,V0), closed-{T}(V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #29: input, references = 18, size of lhs = 2:
% 31.63/31.86     P_ax0_sk7-{F}(V0,V1), open-{F}(V0) | end_point-{T}(V1,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #30: input, references = 5, size of lhs = 1:
% 31.63/31.86     end_point-{F}(V1,V0) | open-{T}(V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #31: input, references = 9, size of lhs = 2:
% 31.63/31.86     part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #32: input, references = 3, size of lhs = 6:
% 31.63/31.86     part_of-{F}(V2,V3), part_of-{F}(V0,V3), part_of-{F}(V1,V3), end_point-{F}(V4,V2), end_point-{F}(V4,V0), end_point-{F}(V4,V1) | part_of-{T}(V0,V1), part_of-{T}(V1,V0), part_of-{T}(V2,V0), part_of-{T}(V0,V2), part_of-{T}(V2,V1), part_of-{T}(V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #33: input, references = 3, size of lhs = 1:
% 31.63/31.86     P_ax0_sk8-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #34: input, references = 16, size of lhs = 3:
% 31.63/31.86     P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V3), inner_point-{F}(V0,V1) | meet-{T}(V0,V2,V3)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #35: input, references = 4, size of lhs = 5:
% 31.63/31.86     P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V3), P_sum-{F}(V2,V3,V4), inner_point-{F}(V0,V1), V1 == V4 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #36: input, references = 18, size of lhs = 6:
% 31.63/31.86     end_point-{F}(V0,V2), end_point-{F}(V1,V2), end_point-{F}(V3,V2), V0 == V1, V3 == V0, V3 == V1 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #37: input, references = 15, size of lhs = 2:
% 31.63/31.86     P_ax0_sk11-{F}(V0,V1,V2), end_point-{F}(V0,V1) | end_point-{T}(V2,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #38: input, references = 7, size of lhs = 2:
% 31.63/31.86     P_ax0_sk11-{F}(V2,V1,V2), end_point-{F}(V2,V1) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #39: input, references = 4, size of lhs = 4:
% 31.63/31.86     P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1), closed-{F}(V2), end_point-{F}(V5,V0) | meet-{T}(V5,V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #40: input, references = 4, size of lhs = 4:
% 31.63/31.86     P_ax0_sk12-{F}(V1,V0,V2), P_sum-{F}(V0,V1,V3), meet-{F}(V4,V0,V1), V2 == V3 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #41: input, references = 3, size of lhs = 2:
% 31.63/31.86     P_ax0_sk13-{F}(V0,V1,V2), V1 == V0 | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #42: input, references = 3, size of lhs = 4:
% 31.63/31.86     P_ax0_sk13-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1), V1 == V0 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #43: input, references = 8, size of lhs = 2:
% 31.63/31.86     P_sk14-{F}(V0), part_of-{F}(V0,V0) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #44: input, references = 11, size of lhs = 2:
% 31.63/31.86     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk1-{T}(V0,V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #45: input, references = 6, size of lhs = 2:
% 31.63/31.86     #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #46: input, references = 3, size of lhs = 3:
% 31.63/31.86     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk2-{T}(V0,V1,V2,V3)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #47: input, references = 3, size of lhs = 2:
% 31.63/31.86     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk3-{T}(V0,V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #48: input, references = 3, size of lhs = 2:
% 31.63/31.86     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk4-{T}(V0,V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #49: input, references = 3, size of lhs = 3:
% 31.63/31.86     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk5-{T}(V0,V1,V2,V3)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #50: input, references = 4, size of lhs = 1:
% 31.63/31.86     #-{F} V0 | EXISTS V1: P_ax0_sk6-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #51: input, references = 12, size of lhs = 1:
% 31.63/31.86     #-{F} V0 | EXISTS V1: P_ax0_sk7-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #52: input, references = 3, size of lhs = 1:
% 31.63/31.86     #-{F} V0 | EXISTS V1: P_ax0_sk8-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #53: input, references = 3, size of lhs = 2:
% 31.63/31.86     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk9-{T}(V0,V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #54: input, references = 18, size of lhs = 2:
% 31.63/31.86     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk10-{T}(V0,V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #55: input, references = 7, size of lhs = 2:
% 31.63/31.86     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk11-{T}(V0,V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #56: input, references = 4, size of lhs = 2:
% 31.63/31.86     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk12-{T}(V0,V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #57: input, references = 3, size of lhs = 2:
% 31.63/31.86     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk13-{T}(V0,V1,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #58: input, references = 4, size of lhs = 0:
% 31.63/31.86     FALSE | EXISTS V0: P_sk14-{T}(V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  number of initial rules = 59
% 31.63/31.86  
% 31.63/31.86  Simplifiers:
% 31.63/31.86  #59: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk1-{F}(V0,V1,V2), P_ax0_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #60: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #61: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk2-{F}(V0,V1,V2,V3), P_ax0_sk2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #62: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #63: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk4-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #64: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk5-{F}(V0,V1,V2,V3), P_ax0_sk5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #65: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk6-{F}(V0,V1), P_ax0_sk6-{F}(V0,V3), V1 == V3 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #66: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk7-{F}(V0,V1), P_ax0_sk7-{F}(V0,V3), V1 == V3 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #67: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk8-{F}(V0,V1), P_ax0_sk8-{F}(V0,V3), V1 == V3 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #68: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #69: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk10-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #70: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk11-{F}(V0,V1,V2), P_ax0_sk11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #71: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk12-{F}(V0,V1,V2), P_ax0_sk12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #72: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_ax0_sk13-{F}(V0,V1,V2), P_ax0_sk13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #73: unsound, references = 3, size of lhs = 3:
% 31.63/31.86     P_sk14-{F}(V0), P_sk14-{F}(V1), V0 == V1 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  number of simplifiers = 15
% 31.63/31.86  
% 31.63/31.86  Learnt:
% 31.63/31.86  #91: exists( #54, #89 ), references = 1, size of lhs = 7:
% 31.63/31.86     incident_c-{F}(V0,V1), inner_point-{F}(V0,V1), P_ax0_sk3-{F}(V1,V0,V2), P_ax0_sk4-{F}(V1,V0,V3), P_ax0_sk1-{F}(V2,V3,V4), inner_point-{F}(V4,V5), P_ax0_sk9-{F}(V4,V5,V3) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #98: exists( #54, #96 ), references = 1, size of lhs = 4:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V2), inner_point-{F}(V0,V2) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #103: exists( #51, #101 ), references = 1, size of lhs = 4:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), end_point-{F}(V2,V0), V2 == V1 | P_ax0_sk7-{T}(V0,V1), P_ax0_sk7-{T}(V0,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #143: exists( #55, #140 ), references = 1, size of lhs = 4:
% 31.63/31.86     end_point-{F}(V0,V1), end_point-{F}(V2,V1), end_point-{F}(V3,V1), V3 == V2 | P_ax0_sk11-{T}(V0,V1,V2), P_ax0_sk11-{T}(V0,V1,V3)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #145: disj( #142, input ), references = 1, size of lhs = 3:
% 31.63/31.86     end_point-{F}(V0,V1), end_point-{F}(V2,V1), V0 == V2 | P_ax0_sk11-{T}(V2,V1,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #147: disj( #28, input ), references = 1, size of lhs = 2:
% 31.63/31.86     P_ax0_sk6-{F}(V0,V1), inner_point-{F}(V1,V0) | closed-{T}(V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #160: disj( #1, #15+#18 ), references = 4, size of lhs = 5:
% 31.63/31.86     incident_c-{F}(V0,V1), inner_point-{F}(V0,V1), P_ax0_sk3-{F}(V1,V0,V2), P_ax0_sk4-{F}(V1,V0,V3), P_ax0_sk1-{F}(V2,V3,V4) | incident_c-{T}(V4,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #161: disj( #1, #15+#27 ), references = 4, size of lhs = 5:
% 31.63/31.86     closed-{F}(V0), incident_c-{F}(V1,V0), P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V3), P_ax0_sk1-{F}(V2,V3,V4) | incident_c-{T}(V4,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #179: disj( #1, #31+#29+#18 ), references = 3, size of lhs = 4:
% 31.63/31.86     P_ax0_sk7-{F}(V0,V1), inner_point-{F}(V1,V0), P_ax0_sk1-{F}(V0,V2,V3), V0 == V2 | incident_c-{T}(V3,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #180: disj( #1, #31+#29+#27 ), references = 4, size of lhs = 4:
% 31.63/31.86     closed-{F}(V0), P_ax0_sk7-{F}(V0,V1), P_ax0_sk1-{F}(V0,V2,V3), V0 == V2 | incident_c-{T}(V3,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #181: disj( #1, #31+#29+#38 ), references = 4, size of lhs = 4:
% 31.63/31.86     P_ax0_sk7-{F}(V0,V1), P_ax0_sk11-{F}(V1,V0,V1), P_ax0_sk1-{F}(V0,V2,V3), V0 == V2 | incident_c-{T}(V3,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #209: disj( #19, exists( #54, #89 ) ), references = 1, size of lhs = 5:
% 31.63/31.86     incident_c-{F}(V0,V1), P_ax0_sk3-{F}(V1,V0,V2), P_ax0_sk4-{F}(V1,V0,V3), P_ax0_sk1-{F}(V2,V3,V0), P_ax0_sk9-{F}(V0,V1,V3) | end_point-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #210: disj( #19, input ), references = 4, size of lhs = 5:
% 31.63/31.86     incident_c-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V3), P_sum-{F}(V2,V3,V4), V1 == V4 | end_point-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #259: mergings( V3 == V5; #256 ), references = 1, size of lhs = 4:
% 31.63/31.86     P_ax0_sk7-{F}(V0,V1), inner_point-{F}(V1,V0), P_sum-{F}(V0,V2,V3), V0 == V3 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #263: mergings( V3 == V4; #260 ), references = 4, size of lhs = 3:
% 31.63/31.86     P_ax0_sk7-{F}(V0,V1), inner_point-{F}(V1,V0), #-{F} V2 | P_sum-{T}(V0,V2,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #283: mergings( V3 == V5; #280 ), references = 2, size of lhs = 4:
% 31.63/31.86     P_ax0_sk7-{F}(V0,V1), inner_point-{F}(V1,V0), P_sum-{F}(V2,V0,V3), V0 == V3 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #292: exists( #44, #290 ), references = 1, size of lhs = 5:
% 31.63/31.86     closed-{F}(V0), incident_c-{F}(V1,V0), P_ax0_sk3-{F}(V0,V1,V2), P_sk14-{F}(V2), P_ax0_sk4-{F}(V0,V1,V2) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #307: exists( #45, #283 ), references = 1, size of lhs = 3:
% 31.63/31.86     P_ax0_sk7-{F}(V0,V1), inner_point-{F}(V1,V0), #-{F} V2 | P_sum-{T}(V2,V0,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #322: exists( #44, #318 ), references = 1, size of lhs = 8:
% 31.63/31.86     closed-{F}(V0), P_ax0_sk7-{F}(V0,V1), closed-{F}(V2), incident_c-{F}(V3,V2), P_ax0_sk3-{F}(V2,V3,V0), P_ax0_sk4-{F}(V2,V3,V4), V0 == V4, P_sum-{F}(V0,V5,V4) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #323: exists( #44, #319 ), references = 1, size of lhs = 8:
% 31.63/31.86     closed-{F}(V0), P_ax0_sk7-{F}(V0,V1), P_sum-{F}(V0,V2,V3), V0 == V3, incident_c-{F}(V4,V5), P_ax0_sk11-{F}(V4,V5,V4), P_ax0_sk3-{F}(V5,V4,V0), P_ax0_sk4-{F}(V5,V4,V3) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #342: mergings( V3 == V4; #340 ), references = 1, size of lhs = 4:
% 31.63/31.86     closed-{F}(V0), P_ax0_sk7-{F}(V0,V1), P_sum-{F}(V0,V2,V3), V0 == V3 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #360: exists( #44, #356 ), references = 3, size of lhs = 9:
% 31.63/31.86     closed-{F}(V0), incident_c-{F}(V1,V0), P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V3), closed-{F}(V4), incident_c-{F}(V5,V4), P_ax0_sk3-{F}(V4,V5,V2), P_ax0_sk4-{F}(V4,V5,V3), P_sum-{F}(V2,V6,V3) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #361: exists( #44, #357 ), references = 3, size of lhs = 9:
% 31.63/31.86     closed-{F}(V0), incident_c-{F}(V1,V0), P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V3), P_sum-{F}(V2,V4,V3), incident_c-{F}(V5,V6), P_ax0_sk11-{F}(V5,V6,V5), P_ax0_sk3-{F}(V6,V5,V2), P_ax0_sk4-{F}(V6,V5,V3) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #388: exists( #54, #386 ), references = 1, size of lhs = 7:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk7-{F}(V2,V3), V3 == V0, P_ax0_sk11-{F}(V3,V2,V4), V3 == V4, V0 == V4 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #390: exists( #55, #387 ), references = 1, size of lhs = 4:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk7-{F}(V2,V3), V3 == V0 | P_ax0_sk11-{T}(V3,V2,V3), P_ax0_sk11-{T}(V3,V2,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #400: disj( #389, #181+#4+#360 ), references = 1, size of lhs = 11:
% 31.63/31.86     closed-{F}(V0), inner_point-{F}(V1,V2), P_ax0_sk9-{F}(V1,V2,V3), P_ax0_sk7-{F}(V3,V4), V4 == V1, P_sum-{F}(V3,V5,V0), P_ax0_sk1-{F}(V3,V6,V7), V3 == V6, P_ax0_sk3-{F}(V0,V7,V8), P_ax0_sk4-{F}(V0,V7,V9), P_sum-{F}(V8,V10,V9) | P_ax0_sk11-{T}(V4,V3,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #401: disj( #389, #181+#4+#361 ), references = 1, size of lhs = 12:
% 31.63/31.86     closed-{F}(V0), P_ax0_sk11-{F}(V1,V0,V1), P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V3), P_sum-{F}(V2,V4,V3), inner_point-{F}(V5,V6), P_ax0_sk9-{F}(V5,V6,V7), P_ax0_sk7-{F}(V7,V8), V8 == V5, P_ax0_sk1-{F}(V7,V9,V1), V7 == V9, P_sum-{F}(V7,V10,V0) | P_ax0_sk11-{T}(V8,V7,V5)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #402: disj( #389, #181+#2+#43 ), references = 1, size of lhs = 8:
% 31.63/31.86     P_sk14-{F}(V0), P_ax0_sk7-{F}(V0,V1), P_ax0_sk1-{F}(V0,V0,V2), P_ax0_sk1-{F}(V0,V3,V2), V0 == V3, inner_point-{F}(V4,V5), V1 == V4, P_ax0_sk9-{F}(V4,V5,V0) | P_ax0_sk11-{T}(V1,V0,V4)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #412: exists( #54, #410 ), references = 2, size of lhs = 7:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk7-{F}(V2,V3), V0 == V3, P_ax0_sk11-{F}(V0,V2,V4), V4 == V0, V4 == V3 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #414: exists( #55, #411 ), references = 1, size of lhs = 4:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk7-{F}(V2,V3), V0 == V3 | P_ax0_sk11-{T}(V0,V2,V0), P_ax0_sk11-{T}(V0,V2,V3)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #420: exists( #54, #418 ), references = 1, size of lhs = 3:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk11-{F}(V0,V2,V0) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #422: disj( #413, exists( #54, #418 ) ), references = 3, size of lhs = 6:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk7-{F}(V2,V3), V0 == V3, inner_point-{F}(V0,V4), P_ax0_sk9-{F}(V0,V4,V2) | P_ax0_sk11-{T}(V0,V2,V3)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #448: exists( #54, #442 ), references = 3, size of lhs = 8:
% 31.63/31.86     closed-{F}(V0), inner_point-{F}(V1,V2), P_ax0_sk9-{F}(V1,V2,V3), P_sum-{F}(V3,V4,V0), P_ax0_sk11-{F}(V1,V3,V5), P_ax0_sk3-{F}(V0,V5,V6), P_ax0_sk4-{F}(V0,V5,V7), P_sum-{F}(V6,V8,V7) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #449: exists( #54, #443 ), references = 3, size of lhs = 9:
% 31.63/31.86     closed-{F}(V0), P_ax0_sk11-{F}(V1,V0,V1), P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V3), P_sum-{F}(V2,V4,V3), inner_point-{F}(V5,V6), P_ax0_sk9-{F}(V5,V6,V7), P_ax0_sk11-{F}(V5,V7,V1), P_sum-{F}(V7,V8,V0) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #450: exists( #54, #444 ), references = 1, size of lhs = 5:
% 31.63/31.86     P_sk14-{F}(V0), P_ax0_sk1-{F}(V0,V0,V1), P_ax0_sk11-{F}(V2,V0,V1), inner_point-{F}(V2,V3), P_ax0_sk9-{F}(V2,V3,V0) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #461: disj( #28, mergings( V3 == V4; #340 ) ), references = 15, size of lhs = 4:
% 31.63/31.86     P_ax0_sk6-{F}(V0,V1), P_ax0_sk7-{F}(V0,V2), P_sum-{F}(V0,V3,V4), V0 == V4 | end_point-{T}(V1,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #514: disj( #19, input ), references = 1, size of lhs = 2:
% 31.63/31.86     closed-{F}(V0), incident_c-{F}(V1,V0) | inner_point-{T}(V1,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #515: disj( #19, input ), references = 1, size of lhs = 2:
% 31.63/31.86     incident_c-{F}(V0,V1), P_ax0_sk11-{F}(V0,V1,V0) | inner_point-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #539: exists( #51, #537 ), references = 1, size of lhs = 6:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), P_ax0_sk6-{F}(V0,V2), V1 == V2, P_sum-{F}(V0,V3,V4), V0 == V4 | P_ax0_sk7-{T}(V0,V1), P_ax0_sk7-{T}(V0,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #564: exists( #51, #562 ), references = 1, size of lhs = 6:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), P_ax0_sk6-{F}(V0,V2), V1 == V2, P_sum-{F}(V0,V3,V4), V0 == V4 | P_ax0_sk7-{T}(V0,V1), P_ax0_sk7-{T}(V0,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #569: disj( #563, #422+#448 ), references = 1, size of lhs = 18:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), P_ax0_sk6-{F}(V0,V2), V1 == V2, closed-{F}(V3), P_sum-{F}(V0,V4,V3), P_ax0_sk3-{F}(V3,V2,V5), P_ax0_sk4-{F}(V3,V2,V6), P_sum-{F}(V5,V7,V6), P_sum-{F}(V0,V8,V9), V0 == V9, inner_point-{F}(V10,V11), V10 == V2, P_ax0_sk9-{F}(V10,V11,V0), inner_point-{F}(V10,V12), P_ax0_sk9-{F}(V10,V12,V0), inner_point-{F}(V10,V13), P_ax0_sk9-{F}(V10,V13,V0) | P_ax0_sk7-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #570: disj( #563, #422+#449 ), references = 1, size of lhs = 19:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), P_ax0_sk6-{F}(V0,V2), V1 == V2, closed-{F}(V3), P_ax0_sk11-{F}(V2,V3,V2), P_ax0_sk3-{F}(V3,V2,V4), P_ax0_sk4-{F}(V3,V2,V5), P_sum-{F}(V4,V6,V5), P_sum-{F}(V0,V7,V3), P_sum-{F}(V0,V8,V9), V0 == V9, inner_point-{F}(V10,V11), V10 == V2, P_ax0_sk9-{F}(V10,V11,V0), inner_point-{F}(V10,V12), P_ax0_sk9-{F}(V10,V12,V0), inner_point-{F}(V10,V13), P_ax0_sk9-{F}(V10,V13,V0) | P_ax0_sk7-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #647: exists( #54, #645 ), references = 5, size of lhs = 8:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V2), end_point-{F}(V3,V2), V3 == V0, end_point-{F}(V4,V2), V4 == V3, V4 == V0 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #707: exists( #45, #35 ), references = 10, size of lhs = 3:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V3) | P_sum-{T}(V2,V3,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #802: exists( #54, #797 ), references = 3, size of lhs = 6:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V3,V2), P_ax0_sk2-{F}(V4,V1,V1,V3), P_sum-{F}(V1,V4,V5), V1 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #803: exists( #54, #798 ), references = 3, size of lhs = 7:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V3,V2), incident_c-{F}(V3,V4), P_ax0_sk2-{F}(V4,V5,V1,V3), P_sum-{F}(V5,V4,V6), V1 == V6 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #827: exists( #55, #825 ), references = 1, size of lhs = 8:
% 31.63/31.86     closed-{F}(V0), end_point-{F}(V1,V2), P_sum-{F}(V2,V3,V0), meet-{F}(V4,V2,V3), meet-{F}(V5,V2,V3), end_point-{F}(V6,V3), end_point-{F}(V7,V3), V7 == V6 | P_ax0_sk11-{T}(V1,V2,V6), P_ax0_sk11-{T}(V1,V2,V7)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #830: disj( #826, input ), references = 8, size of lhs = 8:
% 31.63/31.86     closed-{F}(V0), end_point-{F}(V1,V2), end_point-{F}(V3,V2), V3 == V1, end_point-{F}(V3,V4), P_sum-{F}(V4,V2,V0), meet-{F}(V5,V4,V2), meet-{F}(V6,V4,V2) | P_ax0_sk11-{T}(V3,V4,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #831: disj( #826, exists( #54, #418 ) ), references = 1, size of lhs = 10:
% 31.63/31.86     closed-{F}(V0), end_point-{F}(V1,V2), end_point-{F}(V1,V3), P_sum-{F}(V2,V3,V0), meet-{F}(V4,V2,V3), meet-{F}(V5,V2,V3), end_point-{F}(V6,V3), V1 == V6, inner_point-{F}(V1,V7), P_ax0_sk9-{F}(V1,V7,V2) | P_ax0_sk11-{T}(V1,V2,V6)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #861: exists( #54, #859 ), references = 3, size of lhs = 9:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), inner_point-{F}(V0,V3), P_ax0_sk9-{F}(V0,V3,V2), end_point-{F}(V4,V2), V4 == V0, end_point-{F}(V5,V2), V5 == V4, V5 == V0 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #880: exists( #51, #412 ), references = 1, size of lhs = 4:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk11-{F}(V0,V2,V3), V3 == V0 | P_ax0_sk7-{T}(V2,V0), P_ax0_sk7-{T}(V2,V3)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1011: exists( #56, #40 ), references = 1, size of lhs = 2:
% 31.63/31.86     meet-{F}(V0,V1,V2), P_sum-{F}(V1,V2,V3) | P_ax0_sk12-{T}(V2,V1,V3)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1015: exists( #51, #1013 ), references = 1, size of lhs = 6:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), P_ax0_sk6-{F}(V0,V2), V1 == V2, P_sum-{F}(V0,V3,V4), V0 == V4 | P_ax0_sk7-{T}(V0,V1), P_ax0_sk7-{T}(V0,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1023: mergings( V2 == V8; #1020 ), references = 1, size of lhs = 22:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), closed-{F}(V2), closed-{F}(V3), end_point-{F}(V4,V0), P_ax0_sk6-{F}(V0,V5), V1 == V5, V4 == V5, end_point-{F}(V4,V6), P_sum-{F}(V6,V0,V2), meet-{F}(V7,V6,V0), meet-{F}(V8,V6,V0), inner_point-{F}(V4,V9), P_ax0_sk9-{F}(V4,V9,V6), P_sum-{F}(V6,V10,V3), P_ax0_sk3-{F}(V3,V5,V11), P_ax0_sk4-{F}(V3,V5,V12), P_sum-{F}(V11,V13,V12), P_sum-{F}(V0,V14,V15), V0 == V15, P_sum-{F}(V0,V16,V17), V0 == V17 | P_ax0_sk7-{T}(V0,V5)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1025: mergings( V2 == V7; #1021 ), references = 1, size of lhs = 23:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), closed-{F}(V2), closed-{F}(V3), P_ax0_sk6-{F}(V0,V4), V1 == V4, P_ax0_sk11-{F}(V4,V3,V4), P_ax0_sk3-{F}(V3,V4,V5), P_ax0_sk4-{F}(V3,V4,V6), P_sum-{F}(V5,V7,V6), end_point-{F}(V8,V0), V8 == V4, end_point-{F}(V8,V9), P_sum-{F}(V9,V0,V2), meet-{F}(V10,V9,V0), meet-{F}(V11,V9,V0), inner_point-{F}(V8,V12), P_ax0_sk9-{F}(V8,V12,V9), P_sum-{F}(V9,V13,V3), P_sum-{F}(V0,V14,V15), V0 == V15, P_sum-{F}(V0,V16,V17), V0 == V17 | P_ax0_sk7-{T}(V0,V4)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1035: exists( #51, #1033 ), references = 1, size of lhs = 6:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), P_ax0_sk6-{F}(V0,V2), V1 == V2, P_sum-{F}(V0,V3,V4), V0 == V4 | P_ax0_sk7-{T}(V0,V1), P_ax0_sk7-{T}(V0,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1111: exists( #50, #1105 ), references = 1, size of lhs = 6:
% 31.63/31.86     end_point-{F}(V0,V1), P_ax0_sk7-{F}(V1,V2), end_point-{F}(V3,V1), V3 == V0, P_sum-{F}(V1,V4,V5), V1 == V5 | P_ax0_sk6-{T}(V1,V0), P_ax0_sk6-{T}(V1,V3)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1112: exists( #50, #1106 ), references = 1, size of lhs = 8:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V2), P_ax0_sk7-{F}(V2,V3), end_point-{F}(V4,V2), V4 == V0, P_sum-{F}(V2,V5,V6), V2 == V6 | P_ax0_sk6-{T}(V2,V0), P_ax0_sk6-{T}(V2,V4)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1113: exists( #50, #1107 ), references = 1, size of lhs = 9:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk7-{F}(V2,V3), inner_point-{F}(V0,V4), P_ax0_sk9-{F}(V0,V4,V2), end_point-{F}(V5,V2), V5 == V0, P_sum-{F}(V2,V6,V7), V2 == V7 | P_ax0_sk6-{T}(V2,V0), P_ax0_sk6-{T}(V2,V5)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1226: exists( #54, #1224 ), references = 1, size of lhs = 7:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk2-{F}(V3,V1,V1,V4), inner_point-{F}(V4,V5), P_ax0_sk9-{F}(V4,V5,V2), P_sum-{F}(V1,V3,V6), V1 == V6 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1251: exists( #54, #1247 ), references = 1, size of lhs = 15:
% 31.63/31.86     closed-{F}(V0), end_point-{F}(V1,V2), end_point-{F}(V1,V3), P_sum-{F}(V3,V2,V0), meet-{F}(V4,V3,V2), meet-{F}(V5,V3,V2), incident_c-{F}(V6,V2), V1 == V6, inner_point-{F}(V6,V7), P_ax0_sk9-{F}(V6,V7,V2), inner_point-{F}(V8,V9), P_ax0_sk9-{F}(V8,V9,V3), P_ax0_sk2-{F}(V10,V9,V9,V6), P_sum-{F}(V9,V10,V11), V9 == V11 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1252: exists( #54, #1248 ), references = 1, size of lhs = 16:
% 31.63/31.86     closed-{F}(V0), end_point-{F}(V1,V2), end_point-{F}(V1,V3), P_sum-{F}(V3,V2,V0), meet-{F}(V4,V3,V2), meet-{F}(V5,V3,V2), incident_c-{F}(V6,V2), V1 == V6, inner_point-{F}(V6,V7), P_ax0_sk9-{F}(V6,V7,V2), incident_c-{F}(V6,V8), inner_point-{F}(V9,V10), P_ax0_sk9-{F}(V9,V10,V3), P_ax0_sk2-{F}(V8,V11,V10,V6), P_sum-{F}(V11,V8,V12), V10 == V12 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1292: exists( #54, #1288 ), references = 1, size of lhs = 7:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V3,V2), incident_c-{F}(V3,V4), P_ax0_sk2-{F}(V5,V4,V1,V3), P_sum-{F}(V4,V5,V6), V1 == V6 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1329: disj( #1, input ), references = 1, size of lhs = 4:
% 31.63/31.86     P_ax0_sk1-{F}(V0,V1,V2), P_ax0_sk2-{F}(V3,V0,V0,V2), P_sum-{F}(V0,V3,V4), V0 == V4 | part_of-{T}(V0,V1)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1330: disj( #1, input ), references = 1, size of lhs = 5:
% 31.63/31.86     incident_c-{F}(V0,V1), P_ax0_sk1-{F}(V2,V3,V0), P_ax0_sk2-{F}(V1,V4,V2,V0), P_sum-{F}(V4,V1,V5), V2 == V5 | part_of-{T}(V2,V3)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1335: exists( #51, #1333 ), references = 1, size of lhs = 6:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), P_ax0_sk6-{F}(V0,V2), V1 == V2, P_sum-{F}(V0,V3,V4), V0 == V4 | P_ax0_sk7-{T}(V0,V1), P_ax0_sk7-{T}(V0,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1438: exists( #54, #1432 ), references = 2, size of lhs = 5:
% 31.63/31.86     P_sk14-{F}(V0), inner_point-{F}(V1,V0), P_ax0_sk9-{F}(V1,V0,V2), P_ax0_sk1-{F}(V0,V0,V3), incident_c-{F}(V3,V2) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1439: exists( #54, #1433 ), references = 2, size of lhs = 8:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V3,V2), P_ax0_sk1-{F}(V4,V1,V3), incident_c-{F}(V5,V4), P_ax0_sk2-{F}(V6,V1,V1,V5), P_sum-{F}(V1,V6,V7), V1 == V7 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1440: exists( #54, #1434 ), references = 3, size of lhs = 9:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V3,V2), P_ax0_sk1-{F}(V4,V1,V3), incident_c-{F}(V5,V4), incident_c-{F}(V5,V6), P_ax0_sk2-{F}(V6,V7,V1,V5), P_sum-{F}(V7,V6,V8), V1 == V8 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1528: exists( #51, #1522 ), references = 1, size of lhs = 14:
% 31.63/31.86     closed-{F}(V0), P_sk14-{F}(V1), inner_point-{F}(V2,V1), P_ax0_sk9-{F}(V2,V1,V3), end_point-{F}(V4,V3), end_point-{F}(V4,V5), P_sum-{F}(V3,V5,V0), P_ax0_sk6-{F}(V5,V6), V4 == V6, P_ax0_sk1-{F}(V1,V1,V6), meet-{F}(V7,V3,V5), meet-{F}(V8,V3,V5), P_sum-{F}(V5,V9,V10), V5 == V10 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1529: exists( #51, #1523 ), references = 1, size of lhs = 17:
% 31.63/31.86     closed-{F}(V0), end_point-{F}(V1,V2), P_ax0_sk6-{F}(V2,V3), V1 == V3, end_point-{F}(V1,V4), P_sum-{F}(V4,V2,V0), meet-{F}(V5,V4,V2), meet-{F}(V6,V4,V2), P_sum-{F}(V2,V7,V8), V2 == V8, inner_point-{F}(V9,V10), P_ax0_sk9-{F}(V9,V10,V4), P_ax0_sk1-{F}(V11,V10,V3), incident_c-{F}(V12,V11), P_ax0_sk2-{F}(V13,V10,V10,V12), P_sum-{F}(V10,V13,V14), V10 == V14 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1530: exists( #51, #1524 ), references = 1, size of lhs = 18:
% 31.63/31.86     closed-{F}(V0), end_point-{F}(V1,V2), P_ax0_sk6-{F}(V2,V3), V1 == V3, end_point-{F}(V1,V4), P_sum-{F}(V4,V2,V0), meet-{F}(V5,V4,V2), meet-{F}(V6,V4,V2), P_sum-{F}(V2,V7,V8), V2 == V8, inner_point-{F}(V9,V10), P_ax0_sk9-{F}(V9,V10,V4), P_ax0_sk1-{F}(V11,V10,V3), incident_c-{F}(V12,V11), incident_c-{F}(V12,V13), P_ax0_sk2-{F}(V13,V14,V10,V12), P_sum-{F}(V14,V13,V15), V10 == V15 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1534: exists( #51, #1532 ), references = 1, size of lhs = 6:
% 31.63/31.86     open-{F}(V0), end_point-{F}(V1,V0), P_ax0_sk6-{F}(V0,V2), V1 == V2, P_sum-{F}(V0,V3,V4), V0 == V4 | P_ax0_sk7-{T}(V0,V1), P_ax0_sk7-{T}(V0,V2)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1626: exists( #44, #1620 ), references = 1, size of lhs = 9:
% 31.63/31.86     incident_c-{F}(V0,V1), inner_point-{F}(V0,V1), P_ax0_sk3-{F}(V1,V0,V2), P_ax0_sk4-{F}(V1,V0,V3), P_sum-{F}(V2,V4,V3), incident_c-{F}(V5,V6), inner_point-{F}(V5,V6), P_ax0_sk3-{F}(V6,V5,V2), P_ax0_sk4-{F}(V6,V5,V3) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1627: exists( #44, #1621 ), references = 1, size of lhs = 13:
% 31.63/31.86     incident_c-{F}(V0,V1), inner_point-{F}(V0,V1), P_ax0_sk3-{F}(V1,V0,V2), P_ax0_sk4-{F}(V1,V0,V3), P_sum-{F}(V2,V4,V3), incident_c-{F}(V5,V6), P_ax0_sk3-{F}(V6,V5,V2), P_ax0_sk4-{F}(V6,V5,V3), end_point-{F}(V7,V6), V7 == V5, end_point-{F}(V8,V6), V8 == V7, V8 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1628: exists( #44, #1622 ), references = 1, size of lhs = 15:
% 31.63/31.86     incident_c-{F}(V0,V1), inner_point-{F}(V0,V1), P_ax0_sk3-{F}(V1,V0,V2), P_ax0_sk4-{F}(V1,V0,V3), P_sum-{F}(V2,V4,V3), incident_c-{F}(V5,V6), P_ax0_sk3-{F}(V6,V5,V2), P_ax0_sk4-{F}(V6,V5,V3), incident_c-{F}(V7,V6), V5 == V7, inner_point-{F}(V7,V8), P_ax0_sk9-{F}(V7,V8,V6), end_point-{F}(V9,V6), V9 == V7, V5 == V9 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1665: exists( #54, #1659 ), references = 1, size of lhs = 10:
% 31.63/31.86     incident_c-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), V1 == V2, P_ax0_sk7-{F}(V2,V3), inner_point-{F}(V3,V2), end_point-{F}(V4,V1), V4 == V0, end_point-{F}(V5,V1), V5 == V4, V5 == V0 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1666: exists( #54, #1660 ), references = 1, size of lhs = 12:
% 31.63/31.86     incident_c-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), V1 == V2, P_ax0_sk7-{F}(V2,V3), inner_point-{F}(V3,V2), incident_c-{F}(V4,V1), V0 == V4, inner_point-{F}(V4,V5), P_ax0_sk9-{F}(V4,V5,V1), end_point-{F}(V6,V1), V6 == V4, V0 == V6 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1667: exists( #54, #1661 ), references = 1, size of lhs = 13:
% 31.63/31.86     incident_c-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), V1 == V2, P_ax0_sk7-{F}(V2,V3), inner_point-{F}(V3,V2), end_point-{F}(V4,V1), V0 == V4, inner_point-{F}(V5,V6), V4 == V5, V0 == V5, P_ax0_sk9-{F}(V5,V6,V1), inner_point-{F}(V5,V7), P_ax0_sk9-{F}(V5,V7,V1) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1808: exists( #54, #1802 ), references = 1, size of lhs = 6:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V3,V2), P_ax0_sk2-{F}(V1,V4,V1,V3), P_sum-{F}(V4,V1,V5), V1 == V5 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1809: exists( #54, #1803 ), references = 1, size of lhs = 9:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V3,V2), incident_c-{F}(V3,V4), inner_point-{F}(V5,V6), P_ax0_sk9-{F}(V5,V6,V4), P_ax0_sk2-{F}(V1,V7,V6,V3), P_sum-{F}(V7,V1,V8), V6 == V8 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1810: exists( #54, #1804 ), references = 1, size of lhs = 10:
% 31.63/31.86     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V3,V2), inner_point-{F}(V4,V5), P_ax0_sk9-{F}(V4,V5,V6), P_ax0_sk1-{F}(V1,V5,V7), incident_c-{F}(V7,V6), P_ax0_sk2-{F}(V1,V8,V5,V3), P_sum-{F}(V8,V1,V9), V5 == V9 | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1879: disj( #1, input ), references = 1, size of lhs = 2:
% 31.63/31.86     P_sk14-{F}(V0), P_ax0_sk1-{F}(V0,V0,V1) | incident_c-{T}(V1,V0)
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1883: exists( #44, #1881 ), references = 1, size of lhs = 1:
% 31.63/31.86     P_sk14-{F}(V0) | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  #1885: exists( #58, #1882 ), references = 1, size of lhs = 0:
% 31.63/31.86     FALSE | FALSE
% 31.63/31.86        (used 0 times, uses = {})
% 31.63/31.86  
% 31.63/31.86  number of learnt formulas = 85
% 31.63/31.86  
% 31.63/31.86  
% 31.63/31.86  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.63/31.86  
% 31.63/31.86  randbase = 1
%------------------------------------------------------------------------------