TSTP Solution File: GEO094-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GEO094-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n007.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 06:01:41 EDT 2022

% Result   : Unsatisfiable 1.52s 1.69s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO094-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n007.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 17:29:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.52/1.69  GeoParameters:
% 1.52/1.69  
% 1.52/1.69  tptp_input =     1
% 1.52/1.69  tptp_output =    0
% 1.52/1.69  nonempty =       1
% 1.52/1.69  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.69  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.52/1.69  
% 1.52/1.69  
% 1.52/1.69  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.69  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.69  
% 1.52/1.69  RuleSystem INPUT:
% 1.52/1.69  
% 1.52/1.69  Initial Rules:
% 1.52/1.69  #0: input, references = 7, size of lhs = 2:
% 1.52/1.69     part_of-{F}(V2,V0), incident_c-{F}(V1,V2) | incident_c-{T}(V1,V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #1: input, references = 3, size of lhs = 1:
% 1.52/1.69     P_ax0_sk1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), part_of-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #2: input, references = 3, size of lhs = 2:
% 1.52/1.69     P_ax0_sk1-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | part_of-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #3: input, references = 3, size of lhs = 2:
% 1.52/1.69     P_sum-{F}(V2,V0,V3), incident_c-{F}(V1,V3) | incident_c-{T}(V1,V0), incident_c-{T}(V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #4: input, references = 4, size of lhs = 2:
% 1.52/1.69     incident_c-{F}(V1,V0), P_sum-{F}(V0,V3,V4) | incident_c-{T}(V1,V4)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #5: input, references = 4, size of lhs = 2:
% 1.52/1.69     incident_c-{F}(V1,V0), P_sum-{F}(V3,V0,V4) | incident_c-{T}(V1,V4)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #6: input, references = 3, size of lhs = 3:
% 1.52/1.69     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)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #7: input, references = 3, size of lhs = 5:
% 1.52/1.69     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
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #8: input, references = 3, size of lhs = 5:
% 1.52/1.69     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
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #9: input, references = 3, size of lhs = 1:
% 1.52/1.69     end_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #10: input, references = 4, size of lhs = 5:
% 1.52/1.69     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)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #11: input, references = 3, size of lhs = 2:
% 1.52/1.69     P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #12: input, references = 3, size of lhs = 2:
% 1.52/1.69     P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #13: input, references = 3, size of lhs = 2:
% 1.52/1.69     P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #14: input, references = 3, size of lhs = 2:
% 1.52/1.69     P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #15: input, references = 3, size of lhs = 4:
% 1.52/1.69     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)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #16: input, references = 3, size of lhs = 4:
% 1.52/1.69     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)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #17: input, references = 8, size of lhs = 1:
% 1.52/1.69     inner_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #18: input, references = 9, size of lhs = 2:
% 1.52/1.69     inner_point-{F}(V0,V1), end_point-{F}(V0,V1) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #19: input, references = 3, size of lhs = 1:
% 1.52/1.69     incident_c-{F}(V0,V1) | end_point-{T}(V0,V1), inner_point-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #20: input, references = 4, size of lhs = 1:
% 1.52/1.69     meet-{F}(V0,V1,V2) | incident_c-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #21: input, references = 5, size of lhs = 1:
% 1.52/1.69     meet-{F}(V0,V2,V1) | incident_c-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #22: input, references = 6, size of lhs = 3:
% 1.52/1.69     incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V0,V2) | end_point-{T}(V1,V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #23: input, references = 6, size of lhs = 3:
% 1.52/1.69     incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V2,V0) | end_point-{T}(V1,V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #24: input, references = 3, size of lhs = 3:
% 1.52/1.69     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)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #25: input, references = 3, size of lhs = 3:
% 1.52/1.69     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)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #26: input, references = 3, size of lhs = 5:
% 1.52/1.69     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)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #27: input, references = 3, size of lhs = 2:
% 1.52/1.69     closed-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #28: input, references = 3, size of lhs = 1:
% 1.52/1.69     P_ax0_sk6-{F}(V0,V1) | end_point-{T}(V1,V0), closed-{T}(V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #29: input, references = 4, size of lhs = 2:
% 1.52/1.69     P_ax0_sk7-{F}(V0,V1), open-{F}(V0) | end_point-{T}(V1,V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #30: input, references = 3, size of lhs = 1:
% 1.52/1.69     end_point-{F}(V1,V0) | open-{T}(V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #31: input, references = 3, size of lhs = 2:
% 1.52/1.69     part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #32: input, references = 3, size of lhs = 6:
% 1.52/1.69     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)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #33: input, references = 8, size of lhs = 1:
% 1.52/1.69     P_ax0_sk8-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #34: input, references = 4, size of lhs = 3:
% 1.52/1.69     P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V3), inner_point-{F}(V0,V1) | meet-{T}(V0,V2,V3)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #35: input, references = 3, size of lhs = 5:
% 1.52/1.69     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
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #36: input, references = 5, size of lhs = 6:
% 1.52/1.69     end_point-{F}(V0,V2), end_point-{F}(V1,V2), end_point-{F}(V3,V2), V0 == V1, V3 == V0, V3 == V1 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #37: input, references = 4, size of lhs = 2:
% 1.52/1.69     P_ax0_sk11-{F}(V0,V1,V2), end_point-{F}(V0,V1) | end_point-{T}(V2,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #38: input, references = 3, size of lhs = 2:
% 1.52/1.69     P_ax0_sk11-{F}(V2,V1,V2), end_point-{F}(V2,V1) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #39: input, references = 3, size of lhs = 4:
% 1.52/1.69     P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1), closed-{F}(V2), end_point-{F}(V5,V0) | meet-{T}(V5,V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #40: input, references = 4, size of lhs = 4:
% 1.52/1.69     P_ax0_sk12-{F}(V1,V0,V2), P_sum-{F}(V0,V1,V3), meet-{F}(V4,V0,V1), V2 == V3 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #41: input, references = 3, size of lhs = 2:
% 1.52/1.69     P_ax0_sk13-{F}(V0,V1,V2), V1 == V0 | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #42: input, references = 3, size of lhs = 4:
% 1.52/1.69     P_ax0_sk13-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1), V1 == V0 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #43: input, references = 4, size of lhs = 3:
% 1.52/1.69     P_sk17-{F}(V0), P_sk15-{F}(V1), P_sk16-{F}(V2) | meet-{T}(V0,V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #44: input, references = 4, size of lhs = 4:
% 1.52/1.69     P_sk17-{F}(V0), P_sk15-{F}(V1), P_sk16-{F}(V2), P_sk14-{F}(V3) | part_of-{T}(V1,V3)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #45: input, references = 4, size of lhs = 4:
% 1.52/1.69     P_sk17-{F}(V0), P_sk15-{F}(V1), P_sk16-{F}(V2), P_sk14-{F}(V3) | part_of-{T}(V2,V3)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #46: input, references = 4, size of lhs = 4:
% 1.52/1.69     P_sk17-{F}(V0), P_sk15-{F}(V1), P_sk16-{F}(V2), P_sk14-{F}(V3) | end_point-{T}(V0,V3)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #47: input, references = 3, size of lhs = 2:
% 1.52/1.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk1-{T}(V0,V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #48: input, references = 3, size of lhs = 2:
% 1.52/1.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #49: input, references = 3, size of lhs = 3:
% 1.52/1.69     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk2-{T}(V0,V1,V2,V3)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #50: input, references = 3, size of lhs = 2:
% 1.52/1.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk3-{T}(V0,V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #51: input, references = 3, size of lhs = 2:
% 1.52/1.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk4-{T}(V0,V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #52: input, references = 3, size of lhs = 3:
% 1.52/1.69     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk5-{T}(V0,V1,V2,V3)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #53: input, references = 3, size of lhs = 1:
% 1.52/1.69     #-{F} V0 | EXISTS V1: P_ax0_sk6-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #54: input, references = 4, size of lhs = 1:
% 1.52/1.69     #-{F} V0 | EXISTS V1: P_ax0_sk7-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #55: input, references = 8, size of lhs = 1:
% 1.52/1.69     #-{F} V0 | EXISTS V1: P_ax0_sk8-{T}(V0,V1)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #56: input, references = 3, size of lhs = 2:
% 1.52/1.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk9-{T}(V0,V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #57: input, references = 4, size of lhs = 2:
% 1.52/1.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk10-{T}(V0,V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #58: input, references = 4, size of lhs = 2:
% 1.52/1.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk11-{T}(V0,V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #59: input, references = 4, size of lhs = 2:
% 1.52/1.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk12-{T}(V0,V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #60: input, references = 3, size of lhs = 2:
% 1.52/1.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk13-{T}(V0,V1,V2)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #61: input, references = 4, size of lhs = 0:
% 1.52/1.69     FALSE | EXISTS V0: P_sk17-{T}(V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #62: input, references = 4, size of lhs = 0:
% 1.52/1.69     FALSE | EXISTS V0: P_sk15-{T}(V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #63: input, references = 4, size of lhs = 0:
% 1.52/1.69     FALSE | EXISTS V0: P_sk16-{T}(V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #64: input, references = 4, size of lhs = 0:
% 1.52/1.69     FALSE | EXISTS V0: P_sk14-{T}(V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  number of initial rules = 65
% 1.52/1.69  
% 1.52/1.69  Simplifiers:
% 1.52/1.69  #65: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk1-{F}(V0,V1,V2), P_ax0_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #66: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #67: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk2-{F}(V0,V1,V2,V3), P_ax0_sk2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #68: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #69: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk4-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #70: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk5-{F}(V0,V1,V2,V3), P_ax0_sk5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #71: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk6-{F}(V0,V1), P_ax0_sk6-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #72: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk7-{F}(V0,V1), P_ax0_sk7-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #73: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk8-{F}(V0,V1), P_ax0_sk8-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #74: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #75: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk10-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #76: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk11-{F}(V0,V1,V2), P_ax0_sk11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #77: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk12-{F}(V0,V1,V2), P_ax0_sk12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #78: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_ax0_sk13-{F}(V0,V1,V2), P_ax0_sk13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #79: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_sk17-{F}(V0), P_sk17-{F}(V1), V0 == V1 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #80: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_sk15-{F}(V0), P_sk15-{F}(V1), V0 == V1 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #81: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_sk16-{F}(V0), P_sk16-{F}(V1), V0 == V1 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #82: unsound, references = 3, size of lhs = 3:
% 1.52/1.69     P_sk14-{F}(V0), P_sk14-{F}(V1), V0 == V1 | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  number of simplifiers = 18
% 1.52/1.69  
% 1.52/1.69  Learnt:
% 1.52/1.69  #89: exists( #57, #87 ), references = 1, size of lhs = 4:
% 1.52/1.69     inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V2), inner_point-{F}(V0,V2) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #99: exists( #55, #95 ), references = 1, size of lhs = 1:
% 1.52/1.69     meet-{F}(V0,V1,V1) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #136: exists( #55, #132 ), references = 1, size of lhs = 2:
% 1.52/1.69     part_of-{F}(V0,V1), meet-{F}(V2,V1,V0) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #159: exists( #58, #157 ), references = 1, size of lhs = 4:
% 1.52/1.69     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)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #161: disj( #158, input ), references = 1, size of lhs = 3:
% 1.52/1.69     end_point-{F}(V0,V1), end_point-{F}(V2,V1), V2 == V0 | P_ax0_sk11-{T}(V2,V1,V0)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #186: exists( #54, #184 ), references = 1, size of lhs = 4:
% 1.52/1.69     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)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #232: exists( #55, #228 ), references = 1, size of lhs = 3:
% 1.52/1.69     part_of-{F}(V0,V1), P_sum-{F}(V1,V2,V3), meet-{F}(V4,V3,V0) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #257: exists( #55, #253 ), references = 1, size of lhs = 3:
% 1.52/1.69     part_of-{F}(V0,V1), P_sum-{F}(V2,V1,V3), meet-{F}(V4,V3,V0) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #301: exists( #59, #40 ), references = 1, size of lhs = 2:
% 1.52/1.69     meet-{F}(V0,V1,V2), P_sum-{F}(V1,V2,V3) | P_ax0_sk12-{T}(V2,V1,V3)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #308: disj( #10, exists( #55, #132 ) ), references = 1, size of lhs = 6:
% 1.52/1.69     end_point-{F}(V0,V1), incident_c-{F}(V0,V2), part_of-{F}(V2,V1), incident_c-{F}(V0,V3), part_of-{F}(V3,V1), meet-{F}(V4,V2,V3) | part_of-{T}(V2,V3)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #309: disj( #10, exists( #55, #228 ) ), references = 1, size of lhs = 7:
% 1.52/1.69     end_point-{F}(V0,V1), incident_c-{F}(V0,V2), part_of-{F}(V2,V1), incident_c-{F}(V0,V3), part_of-{F}(V3,V1), P_sum-{F}(V2,V4,V5), meet-{F}(V6,V5,V3) | part_of-{T}(V2,V3)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #310: disj( #10, exists( #55, #253 ) ), references = 1, size of lhs = 7:
% 1.52/1.69     end_point-{F}(V0,V1), incident_c-{F}(V0,V2), part_of-{F}(V2,V1), incident_c-{F}(V0,V3), part_of-{F}(V3,V1), P_sum-{F}(V4,V2,V5), meet-{F}(V6,V5,V3) | part_of-{T}(V2,V3)
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #318: exists( #55, #316 ), references = 1, size of lhs = 2:
% 1.52/1.69     part_of-{F}(V0,V1), meet-{F}(V2,V0,V1) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #330: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V9; #323 ), references = 1, size of lhs = 7:
% 1.52/1.69     P_sk17-{F}(V0), incident_c-{F}(V0,V1), P_sk16-{F}(V1), incident_c-{F}(V0,V2), P_sk15-{F}(V2), meet-{F}(V3,V2,V1), meet-{F}(V4,V2,V1) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #339: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #334 ), references = 1, size of lhs = 2:
% 1.52/1.69     P_sk17-{F}(V0), P_sk15-{F}(V1) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #343: mergings( V1 == V2, V2 == V3; #340 ), references = 1, size of lhs = 1:
% 1.52/1.69     P_sk17-{F}(V0) | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  #345: exists( #61, #340 ), references = 1, size of lhs = 0:
% 1.52/1.69     FALSE | FALSE
% 1.52/1.69        (used 0 times, uses = {})
% 1.52/1.69  
% 1.52/1.69  number of learnt formulas = 17
% 1.52/1.69  
% 1.52/1.69  
% 1.52/1.69  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.69  
% 1.52/1.69  randbase = 1
%------------------------------------------------------------------------------