TSTP Solution File: GEO118-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GEO118-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:01:44 EDT 2022

% Result   : Unsatisfiable 0.84s 1.04s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO118-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jul 22 17:35:00 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.84/1.04  GeoParameters:
% 0.84/1.04  
% 0.84/1.04  tptp_input =     1
% 0.84/1.04  tptp_output =    0
% 0.84/1.04  nonempty =       1
% 0.84/1.04  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.04  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.84/1.04  
% 0.84/1.04  
% 0.84/1.04  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.04  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.04  
% 0.84/1.04  RuleSystem INPUT:
% 0.84/1.04  
% 0.84/1.04  Initial Rules:
% 0.84/1.04  #0: input, references = 3, size of lhs = 2:
% 0.84/1.04     part_of-{F}(V2,V0), incident_c-{F}(V1,V2) | incident_c-{T}(V1,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #1: input, references = 3, size of lhs = 1:
% 0.84/1.04     P_ax0_sk1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), part_of-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #2: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax0_sk1-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | part_of-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #3: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_sum-{F}(V2,V0,V3), incident_c-{F}(V1,V3) | incident_c-{T}(V1,V0), incident_c-{T}(V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #4: input, references = 3, size of lhs = 2:
% 0.84/1.04     incident_c-{F}(V1,V0), P_sum-{F}(V0,V3,V4) | incident_c-{T}(V1,V4)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #5: input, references = 3, size of lhs = 2:
% 0.84/1.04     incident_c-{F}(V1,V0), P_sum-{F}(V3,V0,V4) | incident_c-{T}(V1,V4)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #6: input, references = 3, size of lhs = 3:
% 0.84/1.04     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)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #7: input, references = 3, size of lhs = 5:
% 0.84/1.04     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
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #8: input, references = 3, size of lhs = 5:
% 0.84/1.04     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
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #9: input, references = 3, size of lhs = 1:
% 0.84/1.04     end_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #10: input, references = 3, size of lhs = 5:
% 0.84/1.04     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)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #11: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #12: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #13: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #14: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #15: input, references = 3, size of lhs = 4:
% 0.84/1.04     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)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #16: input, references = 3, size of lhs = 4:
% 0.84/1.04     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)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #17: input, references = 4, size of lhs = 1:
% 0.84/1.04     inner_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #18: input, references = 4, size of lhs = 2:
% 0.84/1.04     inner_point-{F}(V0,V1), end_point-{F}(V0,V1) | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #19: input, references = 3, size of lhs = 1:
% 0.84/1.04     incident_c-{F}(V0,V1) | end_point-{T}(V0,V1), inner_point-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #20: input, references = 3, size of lhs = 1:
% 0.84/1.04     meet-{F}(V0,V1,V2) | incident_c-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #21: input, references = 3, size of lhs = 1:
% 0.84/1.04     meet-{F}(V0,V2,V1) | incident_c-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #22: input, references = 4, size of lhs = 3:
% 0.84/1.04     incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V0,V2) | end_point-{T}(V1,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #23: input, references = 3, size of lhs = 3:
% 0.84/1.04     incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V2,V0) | end_point-{T}(V1,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #24: input, references = 3, size of lhs = 3:
% 0.84/1.04     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)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #25: input, references = 3, size of lhs = 3:
% 0.84/1.04     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)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #26: input, references = 3, size of lhs = 5:
% 0.84/1.04     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)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #27: input, references = 3, size of lhs = 2:
% 0.84/1.04     closed-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #28: input, references = 3, size of lhs = 1:
% 0.84/1.04     P_ax0_sk6-{F}(V0,V1) | end_point-{T}(V1,V0), closed-{T}(V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #29: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax0_sk7-{F}(V0,V1), open-{F}(V0) | end_point-{T}(V1,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #30: input, references = 3, size of lhs = 1:
% 0.84/1.04     end_point-{F}(V1,V0) | open-{T}(V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #31: input, references = 3, size of lhs = 2:
% 0.84/1.04     part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #32: input, references = 3, size of lhs = 6:
% 0.84/1.04     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)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #33: input, references = 4, size of lhs = 1:
% 0.84/1.04     P_ax0_sk8-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #34: input, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V3), inner_point-{F}(V0,V1) | meet-{T}(V0,V2,V3)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #35: input, references = 3, size of lhs = 5:
% 0.84/1.04     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
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #36: input, references = 3, size of lhs = 6:
% 0.84/1.04     end_point-{F}(V0,V2), end_point-{F}(V1,V2), end_point-{F}(V3,V2), V0 == V1, V3 == V0, V3 == V1 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #37: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax0_sk11-{F}(V0,V1,V2), end_point-{F}(V0,V1) | end_point-{T}(V2,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #38: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax0_sk11-{F}(V2,V1,V2), end_point-{F}(V2,V1) | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #39: input, references = 3, size of lhs = 4:
% 0.84/1.04     P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1), closed-{F}(V2), end_point-{F}(V5,V0) | meet-{T}(V5,V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #40: input, references = 3, size of lhs = 4:
% 0.84/1.04     P_ax0_sk12-{F}(V1,V0,V2), P_sum-{F}(V0,V1,V3), meet-{F}(V4,V0,V1), V2 == V3 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #41: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax0_sk13-{F}(V0,V1,V2), V1 == V0 | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #42: input, references = 3, size of lhs = 4:
% 0.84/1.04     P_ax0_sk13-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1), V1 == V0 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #43: input, references = 4, size of lhs = 1:
% 0.84/1.04     between_c-{F}(V3,V1,V2,V1) | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #44: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | part_of-{T}(V4,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #45: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | end_point-{T}(V1,V4)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #46: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | end_point-{T}(V3,V4)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #47: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | inner_point-{T}(V2,V4)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #48: input, references = 3, size of lhs = 5:
% 0.84/1.04     end_point-{F}(V0,V1), end_point-{F}(V2,V1), inner_point-{F}(V3,V1), part_of-{F}(V1,V4), V2 == V0 | between_c-{T}(V4,V2,V3,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #49: input, references = 3, size of lhs = 1:
% 0.84/1.04     between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V2,V1), ordered_by-{T}(V0,V3,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #50: input, references = 3, size of lhs = 1:
% 0.84/1.04     between_o-{F}(V0,V1,V2,V3) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V2,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #51: input, references = 3, size of lhs = 1:
% 0.84/1.04     between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V2,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #52: input, references = 3, size of lhs = 1:
% 0.84/1.04     between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V1,V3)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #53: input, references = 4, size of lhs = 2:
% 0.84/1.04     ordered_by-{F}(V0,V1,V2), ordered_by-{F}(V0,V3,V1) | between_o-{T}(V0,V3,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #54: input, references = 3, size of lhs = 2:
% 0.84/1.04     ordered_by-{F}(V0,V1,V2), ordered_by-{F}(V0,V3,V1) | between_o-{T}(V0,V2,V1,V3)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #55: input, references = 3, size of lhs = 1:
% 0.84/1.04     start_point-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #56: input, references = 3, size of lhs = 3:
% 0.84/1.04     incident_o-{F}(V1,V0), start_point-{F}(V2,V0), V2 == V1 | ordered_by-{T}(V0,V2,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #57: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax2_sk1-{F}(V1,V2,V2), incident_o-{F}(V2,V1) | start_point-{T}(V2,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #58: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax2_sk1-{F}(V1,V0,V2), incident_o-{F}(V0,V1) | incident_o-{T}(V2,V1), start_point-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #59: input, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk1-{F}(V1,V0,V2), incident_o-{F}(V0,V1), ordered_by-{F}(V1,V0,V2) | start_point-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #60: input, references = 3, size of lhs = 1:
% 0.84/1.04     finish_point-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #61: input, references = 3, size of lhs = 3:
% 0.84/1.04     incident_o-{F}(V1,V0), finish_point-{F}(V2,V0), V2 == V1 | ordered_by-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #62: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax2_sk2-{F}(V1,V2,V2), incident_o-{F}(V2,V1) | finish_point-{T}(V2,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #63: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax2_sk2-{F}(V1,V0,V2), incident_o-{F}(V0,V1) | incident_o-{T}(V2,V1), finish_point-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #64: input, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk2-{F}(V1,V0,V2), incident_o-{F}(V0,V1), ordered_by-{F}(V1,V2,V0) | finish_point-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #65: input, references = 3, size of lhs = 1:
% 0.84/1.04     ordered_by-{F}(V0,V1,V2) | incident_o-{T}(V1,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #66: input, references = 3, size of lhs = 1:
% 0.84/1.04     ordered_by-{F}(V0,V2,V1) | incident_o-{T}(V1,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #67: input, references = 3, size of lhs = 1:
% 0.84/1.04     P_ax2_sk3-{F}(V0,V1) | open-{T}(V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #68: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax2_sk3-{F}(V1,V2), incident_o-{F}(V0,V1) | incident_c-{T}(V0,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #69: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax2_sk3-{F}(V1,V2), incident_c-{F}(V0,V2) | incident_o-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #70: input, references = 3, size of lhs = 3:
% 0.84/1.04     incident_o-{F}(V1,V0), P_ax2_sk4-{F}(V0,V2,V3,V4,V5), between_o-{F}(V0,V4,V3,V2) | incident_c-{T}(V1,V5)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #71: input, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk4-{F}(V0,V2,V3,V4,V5), between_o-{F}(V0,V4,V3,V2), incident_c-{F}(V1,V5) | incident_o-{T}(V1,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #72: input, references = 4, size of lhs = 2:
% 0.84/1.04     P_ax2_sk4-{F}(V0,V3,V2,V1,V4), between_o-{F}(V0,V1,V2,V3) | between_c-{T}(V4,V1,V2,V3)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #73: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_ax2_sk5-{F}(V4,V0,V1,V2,V3,V5), between_c-{F}(V4,V3,V2,V1) | between_o-{T}(V0,V3,V2,V1), incident_o-{T}(V5,V0), incident_c-{T}(V5,V4)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #74: input, references = 3, size of lhs = 4:
% 0.84/1.04     P_ax2_sk5-{F}(V4,V0,V1,V2,V3,V5), incident_c-{F}(V5,V4), incident_o-{F}(V5,V0), between_c-{F}(V4,V3,V2,V1) | between_o-{T}(V0,V3,V2,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #75: input, references = 3, size of lhs = 1:
% 0.84/1.04     P_ax2_sk6-{F}(V0,V1) | start_point-{T}(V1,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #76: input, references = 3, size of lhs = 6:
% 0.84/1.04     open-{F}(V0), incident_c-{F}(V1,V0), P_ax2_sk7-{F}(V0,V1,V2,V3), incident_c-{F}(V2,V0), incident_o-{F}(V4,V3), V2 == V1 | incident_c-{T}(V4,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #77: input, references = 3, size of lhs = 6:
% 0.84/1.04     open-{F}(V0), incident_c-{F}(V1,V0), P_ax2_sk7-{F}(V0,V1,V2,V3), incident_c-{F}(V2,V0), incident_c-{F}(V4,V0), V2 == V1 | incident_o-{T}(V4,V3)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #78: input, references = 3, size of lhs = 5:
% 0.84/1.04     open-{F}(V0), incident_c-{F}(V1,V0), P_ax2_sk7-{F}(V0,V1,V2,V3), incident_c-{F}(V2,V0), V2 == V1 | ordered_by-{T}(V3,V2,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #79: input, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk8-{F}(V1,V0,V2), P_ax2_sk9-{F}(V1,V0,V3), V0 == V1 | ordered_by-{T}(V0,V2,V3), ordered_by-{T}(V1,V2,V3)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #80: input, references = 3, size of lhs = 5:
% 0.84/1.04     P_ax2_sk8-{F}(V0,V1,V2), P_ax2_sk9-{F}(V0,V1,V3), ordered_by-{F}(V0,V2,V3), ordered_by-{F}(V1,V2,V3), V1 == V0 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #81: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_underlying_curve-{F}(V0,V2), incident_o-{F}(V1,V0) | incident_c-{T}(V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #82: input, references = 3, size of lhs = 2:
% 0.84/1.04     P_underlying_curve-{F}(V0,V2), incident_c-{F}(V1,V2) | incident_o-{T}(V1,V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #83: input, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk10-{F}(V0,V1,V2), P_underlying_curve-{F}(V0,V3), V1 == V3 | incident_o-{T}(V2,V0), incident_c-{T}(V2,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #84: input, references = 3, size of lhs = 5:
% 0.84/1.04     P_ax2_sk10-{F}(V0,V1,V2), P_underlying_curve-{F}(V0,V3), incident_c-{F}(V2,V1), incident_o-{F}(V2,V0), V1 == V3 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #85: input, references = 4, size of lhs = 3:
% 0.84/1.04     P_sk25-{F}(V0), P_sk26-{F}(V1), P_sk27-{F}(V2) | ordered_by-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #86: input, references = 4, size of lhs = 3:
% 0.84/1.04     P_sk25-{F}(V0), P_sk26-{F}(V1), P_sk27-{F}(V2) | ordered_by-{T}(V0,V2,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #87: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk1-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #88: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #89: input, references = 3, size of lhs = 3:
% 0.84/1.04     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk2-{T}(V0,V1,V2,V3)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #90: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk3-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #91: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk4-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #92: input, references = 3, size of lhs = 3:
% 0.84/1.04     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk5-{T}(V0,V1,V2,V3)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #93: input, references = 3, size of lhs = 1:
% 0.84/1.04     #-{F} V0 | EXISTS V1: P_ax0_sk6-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #94: input, references = 3, size of lhs = 1:
% 0.84/1.04     #-{F} V0 | EXISTS V1: P_ax0_sk7-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #95: input, references = 4, size of lhs = 1:
% 0.84/1.04     #-{F} V0 | EXISTS V1: P_ax0_sk8-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #96: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk9-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #97: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk10-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #98: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk11-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #99: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk12-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #100: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk13-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #101: input, references = 3, size of lhs = 4:
% 0.84/1.04     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ax1_sk1-{T}(V0,V1,V2,V3,V4)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #102: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk1-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #103: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk2-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #104: input, references = 3, size of lhs = 1:
% 0.84/1.04     #-{F} V0 | EXISTS V1: P_ax2_sk3-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #105: input, references = 4, size of lhs = 4:
% 0.84/1.04     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ax2_sk4-{T}(V0,V1,V2,V3,V4)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #106: input, references = 3, size of lhs = 5:
% 0.84/1.04     #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_ax2_sk5-{T}(V0,V1,V2,V3,V4,V5)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #107: input, references = 3, size of lhs = 1:
% 0.84/1.04     #-{F} V0 | EXISTS V1: P_ax2_sk6-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #108: input, references = 3, size of lhs = 3:
% 0.84/1.04     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax2_sk7-{T}(V0,V1,V2,V3)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #109: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk8-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #110: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk9-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #111: input, references = 3, size of lhs = 1:
% 0.84/1.04     #-{F} V0 | EXISTS V1: P_underlying_curve-{T}(V0,V1)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #112: input, references = 3, size of lhs = 2:
% 0.84/1.04     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk10-{T}(V0,V1,V2)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #113: input, references = 4, size of lhs = 0:
% 0.84/1.04     FALSE | EXISTS V0: P_sk25-{T}(V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #114: input, references = 4, size of lhs = 0:
% 0.84/1.04     FALSE | EXISTS V0: P_sk26-{T}(V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #115: input, references = 4, size of lhs = 0:
% 0.84/1.04     FALSE | EXISTS V0: P_sk27-{T}(V0)
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  number of initial rules = 116
% 0.84/1.04  
% 0.84/1.04  Simplifiers:
% 0.84/1.04  #116: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk1-{F}(V0,V1,V2), P_ax0_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #117: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #118: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk2-{F}(V0,V1,V2,V3), P_ax0_sk2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #119: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #120: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk4-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #121: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk5-{F}(V0,V1,V2,V3), P_ax0_sk5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #122: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk6-{F}(V0,V1), P_ax0_sk6-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #123: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk7-{F}(V0,V1), P_ax0_sk7-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #124: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk8-{F}(V0,V1), P_ax0_sk8-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #125: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #126: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk10-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #127: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk11-{F}(V0,V1,V2), P_ax0_sk11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #128: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk12-{F}(V0,V1,V2), P_ax0_sk12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #129: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax0_sk13-{F}(V0,V1,V2), P_ax0_sk13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #130: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax1_sk1-{F}(V0,V1,V2,V3,V4), P_ax1_sk1-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #131: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk1-{F}(V0,V1,V2), P_ax2_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #132: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk2-{F}(V0,V1,V2), P_ax2_sk2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #133: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk3-{F}(V0,V1), P_ax2_sk3-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #134: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk4-{F}(V0,V1,V2,V3,V4), P_ax2_sk4-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #135: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk5-{F}(V0,V1,V2,V3,V4,V5), P_ax2_sk5-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #136: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk6-{F}(V0,V1), P_ax2_sk6-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #137: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk7-{F}(V0,V1,V2,V3), P_ax2_sk7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #138: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk8-{F}(V0,V1,V2), P_ax2_sk8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #139: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk9-{F}(V0,V1,V2), P_ax2_sk9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #140: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_underlying_curve-{F}(V0,V1), P_underlying_curve-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #141: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_ax2_sk10-{F}(V0,V1,V2), P_ax2_sk10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #142: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_sk25-{F}(V0), P_sk25-{F}(V1), V0 == V1 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #143: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_sk26-{F}(V0), P_sk26-{F}(V1), V0 == V1 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #144: unsound, references = 3, size of lhs = 3:
% 0.84/1.04     P_sk27-{F}(V0), P_sk27-{F}(V1), V0 == V1 | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  number of simplifiers = 29
% 0.84/1.04  
% 0.84/1.04  Learnt:
% 0.84/1.04  #151: exists( #95, #149 ), references = 1, size of lhs = 1:
% 0.84/1.04     meet-{F}(V0,V1,V1) | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #210: exists( #105, #208 ), references = 2, size of lhs = 1:
% 0.84/1.04     between_o-{F}(V0,V1,V2,V1) | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #220: exists( #115, #218 ), references = 1, size of lhs = 2:
% 0.84/1.04     P_sk25-{F}(V0), P_sk26-{F}(V1) | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #222: exists( #114, #219 ), references = 1, size of lhs = 1:
% 0.84/1.04     P_sk25-{F}(V0) | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  #224: exists( #113, #221 ), references = 1, size of lhs = 0:
% 0.84/1.04     FALSE | FALSE
% 0.84/1.04        (used 0 times, uses = {})
% 0.84/1.04  
% 0.84/1.04  number of learnt formulas = 5
% 0.84/1.04  
% 0.84/1.04  
% 0.84/1.04  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.04  
% 0.84/1.04  randbase = 1
%------------------------------------------------------------------------------