TSTP Solution File: GEO178+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:01:53 EDT 2022
% Result : Theorem 0.18s 0.35s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 18:20:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.35 GeoParameters:
% 0.18/0.35
% 0.18/0.35 tptp_input = 1
% 0.18/0.35 tptp_output = 0
% 0.18/0.35 nonempty = 1
% 0.18/0.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.35
% 0.18/0.35
% 0.18/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35
% 0.18/0.35 RuleSystem INPUT:
% 0.18/0.35
% 0.18/0.35 Initial Rules:
% 0.18/0.35 #0: input, references = 4, size of lhs = 1:
% 0.18/0.35 distinct_points-{F}(V0,V0) | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #1: input, references = 3, size of lhs = 1:
% 0.18/0.35 distinct_lines-{F}(V0,V0) | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #2: input, references = 3, size of lhs = 1:
% 0.18/0.35 convergent_lines-{F}(V0,V0) | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #3: input, references = 4, size of lhs = 2:
% 0.18/0.35 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #4: input, references = 3, size of lhs = 2:
% 0.18/0.35 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #5: input, references = 3, size of lhs = 2:
% 0.18/0.35 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #6: input, references = 4, size of lhs = 3:
% 0.18/0.35 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #7: input, references = 4, size of lhs = 3:
% 0.18/0.35 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #8: input, references = 3, size of lhs = 3:
% 0.18/0.35 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #9: input, references = 3, size of lhs = 3:
% 0.18/0.35 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #10: input, references = 3, size of lhs = 2:
% 0.18/0.35 distinct_lines-{F}(V0,V1), distinct_points-{F}(V3,V2) | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V3,V1)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #11: input, references = 3, size of lhs = 2:
% 0.18/0.35 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #12: input, references = 3, size of lhs = 2:
% 0.18/0.35 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #13: input, references = 3, size of lhs = 1:
% 0.18/0.35 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #14: input, references = 4, size of lhs = 0:
% 0.18/0.35 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #15: input, references = 4, size of lhs = 1:
% 0.18/0.35 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #16: input, references = 4, size of lhs = 2:
% 0.18/0.35 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V1,V3,V2)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #17: input, references = 5, size of lhs = 2:
% 0.18/0.35 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | distinct_points-{T}(V0,V1)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #18: input, references = 4, size of lhs = 3:
% 0.18/0.35 pppp0-{F}(V0,V1,V2,V3), distinct_points-{F}(V2,V0), distinct_points-{F}(V2,V1) | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #19: input, references = 4, size of lhs = 1:
% 0.18/0.35 pppp0-{F}(V0,V1,V2,V3) | apart_point_and_line-{T}(V2,V3)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #20: input, references = 5, size of lhs = 2:
% 0.18/0.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #21: input, references = 3, size of lhs = 2:
% 0.18/0.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 number of initial rules = 22
% 0.18/0.35
% 0.18/0.35 Simplifiers:
% 0.18/0.35 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.35 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.35 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.35 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.35 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.35 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.35 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.35 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.35 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.35 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 number of simplifiers = 9
% 0.18/0.35
% 0.18/0.35 Learnt:
% 0.18/0.35 #33: exists( #20, #31 ), references = 1, size of lhs = 1:
% 0.18/0.35 pppp1-{F}(V0,V0) | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #35: disj( #3, input ), references = 1, size of lhs = 1:
% 0.18/0.35 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #44: exists( #16, #42 ), references = 1, size of lhs = 6:
% 0.18/0.35 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V3), P_line_connecting-{F}(V0,V3,V2), distinct_points-{F}(V4,V1), P_line_connecting-{F}(V4,V1,V2) | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #47: exists( #20, #45 ), references = 1, size of lhs = 1:
% 0.18/0.35 pppp1-{F}(V0,V1) | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #49: exists( #15, #46 ), references = 1, size of lhs = 1:
% 0.18/0.35 pppp2-{F}(V0) | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 #51: exists( #14, #48 ), references = 1, size of lhs = 0:
% 0.18/0.35 FALSE | FALSE
% 0.18/0.35 (used 0 times, uses = {})
% 0.18/0.35
% 0.18/0.35 number of learnt formulas = 6
% 0.18/0.35
% 0.18/0.35
% 0.18/0.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35
% 0.18/0.35 randbase = 1
%------------------------------------------------------------------------------