TSTP Solution File: GEO198+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO198+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:02:01 EDT 2022
% Result : Theorem 5.44s 5.66s
% Output : Refutation 5.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO198+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n022.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 17:51:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 5.44/5.66 GeoParameters:
% 5.44/5.66
% 5.44/5.66 tptp_input = 1
% 5.44/5.66 tptp_output = 0
% 5.44/5.66 nonempty = 1
% 5.44/5.66 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.66 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.44/5.66
% 5.44/5.66
% 5.44/5.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.66 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.66
% 5.44/5.66 RuleSystem INPUT:
% 5.44/5.66
% 5.44/5.66 Initial Rules:
% 5.44/5.66 #0: input, references = 5, size of lhs = 1:
% 5.44/5.66 distinct_points-{F}(V0,V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #1: input, references = 6, size of lhs = 1:
% 5.44/5.66 distinct_lines-{F}(V0,V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #2: input, references = 4, size of lhs = 1:
% 5.44/5.66 convergent_lines-{F}(V0,V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #3: input, references = 4, size of lhs = 2:
% 5.44/5.66 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #4: input, references = 4, size of lhs = 2:
% 5.44/5.66 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #5: input, references = 3, size of lhs = 2:
% 5.44/5.66 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #6: input, references = 3, size of lhs = 3:
% 5.44/5.66 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #7: input, references = 3, size of lhs = 3:
% 5.44/5.66 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #8: input, references = 3, size of lhs = 3:
% 5.44/5.66 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #9: input, references = 3, size of lhs = 3:
% 5.44/5.66 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #10: input, references = 4, size of lhs = 2:
% 5.44/5.66 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)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #11: input, references = 4, size of lhs = 2:
% 5.44/5.66 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #12: input, references = 4, size of lhs = 2:
% 5.44/5.66 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #13: input, references = 4, size of lhs = 2:
% 5.44/5.66 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #14: input, references = 5, size of lhs = 1:
% 5.44/5.66 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #15: input, references = 4, size of lhs = 2:
% 5.44/5.66 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #16: input, references = 4, size of lhs = 2:
% 5.44/5.66 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #17: input, references = 3, size of lhs = 2:
% 5.44/5.66 distinct_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #18: input, references = 7, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #19: input, references = 3, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #20: input, references = 4, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #21: input, references = 3, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #22: input, references = 3, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #23: input, references = 3, size of lhs = 2:
% 5.44/5.66 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #24: input, references = 3, size of lhs = 2:
% 5.44/5.66 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #25: input, references = 3, size of lhs = 3:
% 5.44/5.66 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), unorthogonal_lines-{T}(V0,V3), unorthogonal_lines-{T}(V1,V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #26: input, references = 3, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #27: input, references = 3, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #28: input, references = 3, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #29: input, references = 3, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #30: input, references = 3, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #31: input, references = 4, size of lhs = 2:
% 5.44/5.66 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #32: input, references = 3, size of lhs = 4:
% 5.44/5.66 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #33: input, references = 3, size of lhs = 4:
% 5.44/5.66 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #34: input, references = 3, size of lhs = 3:
% 5.44/5.66 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #35: input, references = 3, size of lhs = 3:
% 5.44/5.66 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #36: input, references = 6, size of lhs = 2:
% 5.44/5.66 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #37: input, references = 7, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #38: input, references = 8, size of lhs = 2:
% 5.44/5.66 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #39: input, references = 7, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #40: input, references = 5, size of lhs = 2:
% 5.44/5.66 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #41: input, references = 6, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #42: input, references = 3, size of lhs = 2:
% 5.44/5.66 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #43: input, references = 10, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #44: input, references = 4, size of lhs = 2:
% 5.44/5.66 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #45: input, references = 5, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #46: input, references = 4, size of lhs = 0:
% 5.44/5.66 FALSE | EXISTS V0: pppp2-{T}(V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #47: input, references = 4, size of lhs = 1:
% 5.44/5.66 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #48: input, references = 4, size of lhs = 1:
% 5.44/5.66 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #49: input, references = 3, size of lhs = 1:
% 5.44/5.66 pppp1-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #50: input, references = 4, size of lhs = 4:
% 5.44/5.66 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4), incident_point_and_line-{F}(V4,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #51: input, references = 3, size of lhs = 3:
% 5.44/5.66 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | incident_point_and_line-{T}(V3,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #52: input, references = 3, size of lhs = 3:
% 5.44/5.66 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | convergent_lines-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #53: input, references = 3, size of lhs = 3:
% 5.44/5.66 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | convergent_lines-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #54: input, references = 3, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #55: input, references = 5, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #56: input, references = 4, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #57: input, references = 5, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 number of initial rules = 58
% 5.44/5.66
% 5.44/5.66 Simplifiers:
% 5.44/5.66 #58: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #59: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #60: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #61: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #62: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #63: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #64: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #65: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #66: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #67: unsound, references = 3, size of lhs = 3:
% 5.44/5.66 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 number of simplifiers = 10
% 5.44/5.66
% 5.44/5.66 Learnt:
% 5.44/5.66 #69: disj( #37, input ), references = 1, size of lhs = 1:
% 5.44/5.66 #-{F} V0 | equal_points-{T}(V0,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #71: disj( #18, input ), references = 1, size of lhs = 1:
% 5.44/5.66 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #73: disj( #41, input ), references = 1, size of lhs = 1:
% 5.44/5.66 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #75: disj( #18, input ), references = 2, size of lhs = 1:
% 5.44/5.66 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #78: disj( #18, input ), references = 1, size of lhs = 1:
% 5.44/5.66 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #82: disj( #41, input ), references = 1, size of lhs = 1:
% 5.44/5.66 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #89: disj( #39, #14+#15 ), references = 2, size of lhs = 1:
% 5.44/5.66 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #90: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 5.44/5.66 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #92: disj( #43, input ), references = 1, size of lhs = 2:
% 5.44/5.66 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #95: disj( #43, input ), references = 1, size of lhs = 2:
% 5.44/5.66 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #96: disj( #43, input ), references = 2, size of lhs = 1:
% 5.44/5.66 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #98: disj( #43, input ), references = 1, size of lhs = 1:
% 5.44/5.66 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #101: disj( #11, input ), references = 2, size of lhs = 2:
% 5.44/5.66 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #104: disj( #43, #100+#36 ), references = 2, size of lhs = 2:
% 5.44/5.66 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #111: disj( #43, #104+#16 ), references = 1, size of lhs = 2:
% 5.44/5.66 equal_points-{F}(V0,V1), P_parallel_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #112: disj( #43, #101+#36 ), references = 2, size of lhs = 2:
% 5.44/5.66 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #114: disj( #45, input ), references = 1, size of lhs = 1:
% 5.44/5.66 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #118: disj( #12, input ), references = 1, size of lhs = 2:
% 5.44/5.66 apart_point_and_line-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #119: disj( #12, input ), references = 2, size of lhs = 2:
% 5.44/5.66 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #120: disj( #12, input ), references = 1, size of lhs = 2:
% 5.44/5.66 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #123: disj( #43, input ), references = 1, size of lhs = 2:
% 5.44/5.66 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #124: disj( #43, input ), references = 1, size of lhs = 2:
% 5.44/5.66 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #126: disj( #4, input ), references = 6, size of lhs = 2:
% 5.44/5.66 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #137: exists( #56, #133 ), references = 2, size of lhs = 1:
% 5.44/5.66 apart_point_and_line-{F}(V0,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #140: disj( #43, exists( #56, #133 ) ), references = 2, size of lhs = 2:
% 5.44/5.66 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #153: disj( #39, #126+#1 ), references = 2, size of lhs = 1:
% 5.44/5.66 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #154: disj( #39, #126+#38 ), references = 1, size of lhs = 2:
% 5.44/5.66 distinct_lines-{F}(V0,V1), equal_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #156: disj( #3, input ), references = 2, size of lhs = 2:
% 5.44/5.66 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #161: disj( #37, #155+#0 ), references = 2, size of lhs = 1:
% 5.44/5.66 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #162: disj( #37, #155+#36 ), references = 1, size of lhs = 2:
% 5.44/5.66 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #164: disj( #31, input ), references = 3, size of lhs = 2:
% 5.44/5.66 orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #169: disj( #13, input ), references = 3, size of lhs = 1:
% 5.44/5.66 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #170: disj( #13, input ), references = 1, size of lhs = 2:
% 5.44/5.66 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #180: disj( #37, #156+#0 ), references = 1, size of lhs = 1:
% 5.44/5.66 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #193: disj( #10, exists( #56, #133 ), exists( #56, #133 ), exists( #56, #133 ) ), references = 1, size of lhs = 2:
% 5.44/5.66 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #200: disj( #37, #181+#137 ), references = 2, size of lhs = 3:
% 5.44/5.66 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #203: disj( #20, input ), references = 1, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #204: disj( #20, input ), references = 1, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #209: exists( #57, #205 ), references = 2, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #210: exists( #57, #206 ), references = 1, size of lhs = 4:
% 5.44/5.66 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #213: disj( #45, exists( #57, #205 ) ), references = 1, size of lhs = 2:
% 5.44/5.66 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #214: disj( #45, exists( #57, #206 ) ), references = 1, size of lhs = 3:
% 5.44/5.66 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | orthogonal_lines-{T}(V0,V1)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #217: disj( #18, #169+#38 ), references = 1, size of lhs = 1:
% 5.44/5.66 equal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #221: disj( #39, #126+#153+#38 ), references = 1, size of lhs = 2:
% 5.44/5.66 equal_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2) | distinct_lines-{T}(V2,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #226: disj( #39, #126+#1 ), references = 1, size of lhs = 1:
% 5.44/5.66 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #227: disj( #39, #126+#38 ), references = 1, size of lhs = 2:
% 5.44/5.66 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #234: disj( #41, #169+#38 ), references = 1, size of lhs = 1:
% 5.44/5.66 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #235: disj( #41, #164+#44 ), references = 1, size of lhs = 2:
% 5.44/5.66 orthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V0,V2) | parallel_lines-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #236: disj( #41, #164+#209 ), references = 1, size of lhs = 3:
% 5.44/5.66 orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V0,V3,V2) | parallel_lines-{T}(V1,V2)
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #238: exists( #55, #50 ), references = 2, size of lhs = 3:
% 5.44/5.66 incident_point_and_line-{F}(V0,V1), pppp0-{F}(V2,V1,V3), P_intersection_point-{F}(V2,V3,V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #243: exists( #55, #241 ), references = 1, size of lhs = 3:
% 5.44/5.66 distinct_lines-{F}(V0,V1), incident_point_and_line-{F}(V2,V3), pppp0-{F}(V4,V3,V5) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #245: exists( #48, #242 ), references = 1, size of lhs = 3:
% 5.44/5.66 distinct_lines-{F}(V0,V1), incident_point_and_line-{F}(V2,V3), pppp1-{F}(V3,V4) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #247: exists( #47, #244 ), references = 1, size of lhs = 3:
% 5.44/5.66 pppp2-{F}(V0), incident_point_and_line-{F}(V1,V0), distinct_lines-{F}(V2,V3) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #252: exists( #57, #250 ), references = 1, size of lhs = 1:
% 5.44/5.66 pppp2-{F}(V0) | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 #254: exists( #46, #251 ), references = 1, size of lhs = 0:
% 5.44/5.66 FALSE | FALSE
% 5.44/5.66 (used 0 times, uses = {})
% 5.44/5.66
% 5.44/5.66 number of learnt formulas = 55
% 5.44/5.66
% 5.44/5.66
% 5.44/5.66 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.66
% 5.44/5.66 randbase = 1
%------------------------------------------------------------------------------