%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO210+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:02:06 EDT 2022
% Result : Theorem 210.68s 210.88s
% Output : Refutation 210.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO210+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 17:55:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 210.68/210.88 GeoParameters:
% 210.68/210.88
% 210.68/210.88 tptp_input = 1
% 210.68/210.88 tptp_output = 0
% 210.68/210.88 nonempty = 1
% 210.68/210.88 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 210.68/210.88 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 210.68/210.88
% 210.68/210.88
% 210.68/210.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 210.68/210.88 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 210.68/210.88
% 210.68/210.88 RuleSystem INPUT:
% 210.68/210.88
% 210.68/210.88 Initial Rules:
% 210.68/210.88 #0: input, references = 15, size of lhs = 1:
% 210.68/210.88 distinct_points-{F}(V0,V0) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1: input, references = 4, size of lhs = 1:
% 210.68/210.88 distinct_lines-{F}(V0,V0) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #2: input, references = 3, size of lhs = 1:
% 210.68/210.88 convergent_lines-{F}(V0,V0) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #3: input, references = 3, size of lhs = 2:
% 210.68/210.88 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #4: input, references = 10, size of lhs = 2:
% 210.68/210.88 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #5: input, references = 5, size of lhs = 2:
% 210.68/210.88 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #6: input, references = 7, size of lhs = 3:
% 210.68/210.88 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #7: input, references = 3, size of lhs = 3:
% 210.68/210.88 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #8: input, references = 6, size of lhs = 3:
% 210.68/210.88 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #9: input, references = 10, size of lhs = 3:
% 210.68/210.88 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #10: input, references = 3, size of lhs = 2:
% 210.68/210.88 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)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #11: input, references = 3, size of lhs = 2:
% 210.68/210.88 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #12: input, references = 3, size of lhs = 2:
% 210.68/210.88 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #13: input, references = 21, size of lhs = 1:
% 210.68/210.88 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #14: input, references = 11, size of lhs = 2:
% 210.68/210.88 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #15: input, references = 4, size of lhs = 2:
% 210.68/210.88 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #16: input, references = 7, size of lhs = 2:
% 210.68/210.88 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)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #17: input, references = 18, size of lhs = 2:
% 210.68/210.88 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #18: input, references = 3, size of lhs = 3:
% 210.68/210.88 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #19: input, references = 3, size of lhs = 3:
% 210.68/210.88 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #20: input, references = 3, size of lhs = 3:
% 210.68/210.88 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #21: input, references = 3, size of lhs = 3:
% 210.68/210.88 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #22: input, references = 3, size of lhs = 2:
% 210.68/210.88 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #23: input, references = 7, size of lhs = 2:
% 210.68/210.88 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #24: input, references = 8, size of lhs = 3:
% 210.68/210.88 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)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #25: input, references = 4, size of lhs = 0:
% 210.68/210.88 FALSE | EXISTS V0: pppp2-{T}(V0)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #26: input, references = 4, size of lhs = 1:
% 210.68/210.88 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #27: input, references = 5, size of lhs = 1:
% 210.68/210.88 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #28: input, references = 4, size of lhs = 2:
% 210.68/210.88 pppp1-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #29: input, references = 13, size of lhs = 2:
% 210.68/210.88 pppp0-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V1,V2,V3) | distinct_lines-{T}(V0,V3)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #30: input, references = 5, size of lhs = 3:
% 210.68/210.88 pppp0-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V1,V2,V3), apart_point_and_line-{F}(V2,V0) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #31: input, references = 3, size of lhs = 2:
% 210.68/210.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #32: input, references = 3, size of lhs = 2:
% 210.68/210.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #33: input, references = 6, size of lhs = 2:
% 210.68/210.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #34: input, references = 14, size of lhs = 2:
% 210.68/210.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 number of initial rules = 35
% 210.68/210.88
% 210.68/210.88 Simplifiers:
% 210.68/210.88 #35: unsound, references = 3, size of lhs = 3:
% 210.68/210.88 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #36: unsound, references = 3, size of lhs = 3:
% 210.68/210.88 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #37: unsound, references = 3, size of lhs = 3:
% 210.68/210.88 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #38: unsound, references = 3, size of lhs = 3:
% 210.68/210.88 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #39: unsound, references = 3, size of lhs = 3:
% 210.68/210.88 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #40: unsound, references = 3, size of lhs = 3:
% 210.68/210.88 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V5), V1 == V4 | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #41: unsound, references = 3, size of lhs = 3:
% 210.68/210.88 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #42: unsound, references = 3, size of lhs = 3:
% 210.68/210.88 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #43: unsound, references = 3, size of lhs = 3:
% 210.68/210.88 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #44: unsound, references = 3, size of lhs = 3:
% 210.68/210.88 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 number of simplifiers = 10
% 210.68/210.88
% 210.68/210.88 Learnt:
% 210.68/210.88 #46: disj( #17, input ), references = 1, size of lhs = 1:
% 210.68/210.88 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #49: disj( #17, input ), references = 1, size of lhs = 1:
% 210.68/210.88 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #51: disj( #17, input ), references = 1, size of lhs = 1:
% 210.68/210.88 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #54: disj( #17, input ), references = 1, size of lhs = 1:
% 210.68/210.88 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #56: disj( #5, input ), references = 19, size of lhs = 1:
% 210.68/210.88 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #59: disj( #17, #56+#14 ), references = 1, size of lhs = 1:
% 210.68/210.88 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #62: disj( #16, input, input ), references = 5, size of lhs = 3:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V1) | convergent_lines-{T}(V0,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #63: disj( #16, input, input ), references = 8, size of lhs = 3:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V1) | convergent_lines-{T}(V0,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #67: disj( #24, input, input ), references = 1, size of lhs = 4:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V2,V4,V1), #-{F} V5 | apart_point_and_line-{T}(V5,V0), apart_point_and_line-{T}(V5,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #70: disj( #66, input ), references = 18, size of lhs = 4:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V2,V4,V1), P_orthogonal_through_point-{F}(V5,V6,V1) | apart_point_and_line-{T}(V6,V0)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #71: disj( #66, input ), references = 2, size of lhs = 4:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V2,V4,V1), P_parallel_through_point-{F}(V5,V6,V1) | apart_point_and_line-{T}(V6,V0)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #78: exists( #34, #74 ), references = 1, size of lhs = 2:
% 210.68/210.88 P_orthogonal_through_point-{F}(V0,V1,V2), pppp0-{F}(V2,V0,V3) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #80: exists( #27, #76 ), references = 1, size of lhs = 2:
% 210.68/210.88 pppp1-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V2,V0) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #88: disj( #5, input ), references = 24, size of lhs = 2:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #114: disj( #17, #88+#56+#13+#70+#23 ), references = 1, size of lhs = 5:
% 210.68/210.88 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V3,V4), P_parallel_through_point-{F}(V4,V5,V6), P_orthogonal_through_point-{F}(V7,V8,V2), P_orthogonal_through_point-{F}(V9,V8,V4) | unorthogonal_lines-{T}(V2,V6)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #139: disj( #17, #56+#88+#56+#13+#70+#23 ), references = 1, size of lhs = 5:
% 210.68/210.88 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V3,V4), P_parallel_through_point-{F}(V4,V5,V6), P_orthogonal_through_point-{F}(V7,V8,V2), P_orthogonal_through_point-{F}(V9,V8,V4) | unorthogonal_lines-{T}(V6,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #149: disj( #4, #70+#15 ), references = 4, size of lhs = 5:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1), P_orthogonal_through_point-{F}(V2,V4,V5), P_orthogonal_through_point-{F}(V6,V7,V5), P_parallel_through_point-{F}(V8,V7,V1) | distinct_lines-{T}(V0,V5)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #174: disj( #4, #149+#71+#23 ), references = 3, size of lhs = 9:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1), P_orthogonal_through_point-{F}(V2,V4,V5), P_orthogonal_through_point-{F}(V6,V7,V5), P_orthogonal_through_point-{F}(V6,V8,V9), P_orthogonal_through_point-{F}(V10,V11,V5), P_parallel_through_point-{F}(V12,V11,V9), P_parallel_through_point-{F}(V13,V14,V5), P_orthogonal_through_point-{F}(V15,V14,V1) | distinct_lines-{T}(V0,V9)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #179: exists( #34, #177 ), references = 1, size of lhs = 10:
% 210.68/210.88 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V4,V2), P_orthogonal_through_point-{F}(V3,V5,V6), P_parallel_through_point-{F}(V6,V7,V8), pppp0-{F}(V8,V0,V9), P_parallel_through_point-{F}(V10,V9,V2), P_orthogonal_through_point-{F}(V11,V12,V2), P_parallel_through_point-{F}(V13,V12,V6), P_parallel_through_point-{F}(V14,V15,V8), P_parallel_through_point-{F}(V16,V15,V6) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #186: disj( #17, #88+#14 ), references = 1, size of lhs = 2:
% 210.68/210.88 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V3,V4) | unorthogonal_lines-{T}(V4,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #199: disj( #4, #62+#88+#14 ), references = 6, size of lhs = 5:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V4,V3,V5), P_parallel_through_point-{F}(V6,V7,V5), P_parallel_through_point-{F}(V6,V8,V1) | distinct_lines-{T}(V0,V5)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #224: exists( #34, #221 ), references = 4, size of lhs = 12:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V4,V5,V1), P_orthogonal_through_point-{F}(V2,V6,V7), P_parallel_through_point-{F}(V8,V5,V7), P_orthogonal_through_point-{F}(V9,V10,V7), P_orthogonal_through_point-{F}(V9,V11,V12), P_parallel_through_point-{F}(V12,V13,V0), P_orthogonal_through_point-{F}(V14,V15,V7), P_parallel_through_point-{F}(V16,V15,V12), P_parallel_through_point-{F}(V17,V18,V0), P_parallel_through_point-{F}(V19,V18,V12) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #225: exists( #34, #220 ), references = 2, size of lhs = 13:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V4,V5,V1), P_orthogonal_through_point-{F}(V2,V6,V7), P_parallel_through_point-{F}(V8,V5,V7), P_orthogonal_through_point-{F}(V9,V10,V7), P_orthogonal_through_point-{F}(V9,V11,V12), P_orthogonal_through_point-{F}(V13,V14,V7), P_parallel_through_point-{F}(V15,V14,V12), P_parallel_through_point-{F}(V16,V17,V12), P_parallel_through_point-{F}(V18,V17,V0), P_parallel_through_point-{F}(V19,V20,V0), P_parallel_through_point-{F}(V19,V21,V12) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #238: disj( #17, #56+#13+#70+#9+#0 ), references = 1, size of lhs = 5:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V2,V4), P_orthogonal_through_point-{F}(V5,V6,V1), P_orthogonal_through_point-{F}(V5,V7,V4) | unorthogonal_lines-{T}(V4,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #258: disj( #17, #56+#13+#70+#23 ), references = 1, size of lhs = 4:
% 210.68/210.88 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V3,V4), P_orthogonal_through_point-{F}(V5,V6,V4), P_orthogonal_through_point-{F}(V7,V6,V2) | unorthogonal_lines-{T}(V4,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #288: disj( #16, input, input ), references = 3, size of lhs = 3:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V3,V4,V0) | apart_point_and_line-{T}(V4,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #292: disj( #4, exists( #34, #221 ) ), references = 4, size of lhs = 12:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V5), P_parallel_through_point-{F}(V5,V6,V0), P_orthogonal_through_point-{F}(V7,V8,V5), P_orthogonal_through_point-{F}(V7,V9,V10), P_orthogonal_through_point-{F}(V11,V12,V10), P_orthogonal_through_point-{F}(V11,V13,V14), P_parallel_through_point-{F}(V15,V16,V14), P_parallel_through_point-{F}(V17,V16,V10), P_orthogonal_through_point-{F}(V18,V19,V10), P_parallel_through_point-{F}(V20,V19,V5) | distinct_lines-{T}(V1,V14)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #293: disj( #4, exists( #34, #220 ) ), references = 3, size of lhs = 13:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V5), P_orthogonal_through_point-{F}(V6,V7,V5), P_orthogonal_through_point-{F}(V6,V8,V9), P_orthogonal_through_point-{F}(V10,V11,V9), P_orthogonal_through_point-{F}(V10,V12,V13), P_parallel_through_point-{F}(V14,V15,V13), P_parallel_through_point-{F}(V16,V15,V9), P_orthogonal_through_point-{F}(V17,V18,V9), P_parallel_through_point-{F}(V19,V18,V5), P_parallel_through_point-{F}(V20,V21,V0), P_parallel_through_point-{F}(V20,V22,V5) | distinct_lines-{T}(V1,V13)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #304: exists( #34, #302 ), references = 1, size of lhs = 21:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V1,V3,V4), P_parallel_through_point-{F}(V5,V2,V4), P_parallel_through_point-{F}(V6,V7,V4), P_parallel_through_point-{F}(V8,V7,V9), P_orthogonal_through_point-{F}(V10,V11,V9), P_orthogonal_through_point-{F}(V10,V12,V13), P_orthogonal_through_point-{F}(V14,V15,V13), P_orthogonal_through_point-{F}(V14,V16,V17), P_parallel_through_point-{F}(V18,V19,V17), P_parallel_through_point-{F}(V20,V19,V21), P_parallel_through_point-{F}(V17,V22,V21), pppp0-{F}(V21,V23,V2), P_orthogonal_through_point-{F}(V23,V24,V1), P_parallel_through_point-{F}(V25,V26,V9), P_parallel_through_point-{F}(V27,V26,V13), P_orthogonal_through_point-{F}(V28,V29,V13), P_parallel_through_point-{F}(V30,V29,V17), P_parallel_through_point-{F}(V31,V32,V4), P_parallel_through_point-{F}(V31,V33,V9) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #458: disj( #17, #56+#88+#13+#224 ), references = 1, size of lhs = 12:
% 210.68/210.88 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V4,V5,V2), P_orthogonal_through_point-{F}(V6,V7,V4), P_orthogonal_through_point-{F}(V6,V8,V9), P_orthogonal_through_point-{F}(V10,V11,V9), P_orthogonal_through_point-{F}(V10,V12,V13), P_parallel_through_point-{F}(V13,V14,V15), P_parallel_through_point-{F}(V16,V17,V13), P_parallel_through_point-{F}(V18,V17,V9), P_orthogonal_through_point-{F}(V19,V20,V9), P_parallel_through_point-{F}(V21,V20,V4) | unorthogonal_lines-{T}(V15,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #623: disj( #17, #13+#70+#9+#0 ), references = 1, size of lhs = 5:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V2,V4), P_orthogonal_through_point-{F}(V5,V6,V1), P_orthogonal_through_point-{F}(V5,V7,V4) | unorthogonal_lines-{T}(V1,V4)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #700: disj( #4, #293+#224 ), references = 3, size of lhs = 24:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V5), P_orthogonal_through_point-{F}(V6,V7,V5), P_orthogonal_through_point-{F}(V6,V8,V9), P_orthogonal_through_point-{F}(V10,V11,V9), P_orthogonal_through_point-{F}(V10,V12,V13), P_parallel_through_point-{F}(V14,V15,V13), P_parallel_through_point-{F}(V16,V15,V9), P_orthogonal_through_point-{F}(V17,V18,V9), P_parallel_through_point-{F}(V19,V18,V5), P_parallel_through_point-{F}(V20,V21,V0), P_parallel_through_point-{F}(V20,V22,V5), P_orthogonal_through_point-{F}(V23,V24,V13), P_parallel_through_point-{F}(V25,V26,V13), P_orthogonal_through_point-{F}(V23,V27,V28), P_parallel_through_point-{F}(V29,V26,V28), P_orthogonal_through_point-{F}(V30,V31,V28), P_orthogonal_through_point-{F}(V30,V32,V33), P_parallel_through_point-{F}(V33,V34,V35), P_orthogonal_through_point-{F}(V36,V37,V28), P_parallel_through_point-{F}(V38,V37,V33), P_parallel_through_point-{F}(V39,V40,V35), P_parallel_through_point-{F}(V41,V40,V33) | distinct_lines-{T}(V1,V35)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #718: exists( #34, #716 ), references = 1, size of lhs = 31:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V1,V3,V4), P_parallel_through_point-{F}(V4,V5,V6), P_parallel_through_point-{F}(V6,V7,V8), P_parallel_through_point-{F}(V9,V2,V8), P_parallel_through_point-{F}(V10,V11,V8), P_parallel_through_point-{F}(V12,V11,V13), P_parallel_through_point-{F}(V13,V14,V8), P_orthogonal_through_point-{F}(V15,V16,V13), P_orthogonal_through_point-{F}(V15,V17,V18), P_orthogonal_through_point-{F}(V19,V20,V18), P_orthogonal_through_point-{F}(V19,V21,V22), P_orthogonal_through_point-{F}(V23,V24,V22), P_orthogonal_through_point-{F}(V23,V25,V26), P_orthogonal_through_point-{F}(V27,V28,V26), P_orthogonal_through_point-{F}(V27,V29,V30), P_parallel_through_point-{F}(V31,V32,V30), P_parallel_through_point-{F}(V33,V32,V34), pppp0-{F}(V34,V35,V2), P_orthogonal_through_point-{F}(V35,V36,V1), P_parallel_through_point-{F}(V37,V38,V22), P_parallel_through_point-{F}(V39,V38,V26), P_orthogonal_through_point-{F}(V40,V41,V26), P_parallel_through_point-{F}(V42,V41,V30), P_parallel_through_point-{F}(V43,V44,V34), P_parallel_through_point-{F}(V43,V45,V30), P_parallel_through_point-{F}(V46,V47,V22), P_parallel_through_point-{F}(V48,V47,V18), P_orthogonal_through_point-{F}(V49,V50,V18), P_parallel_through_point-{F}(V51,V50,V13) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #737: exists( #34, #735 ), references = 1, size of lhs = 23:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V1,V3,V4), P_parallel_through_point-{F}(V4,V5,V6), P_parallel_through_point-{F}(V6,V7,V8), P_parallel_through_point-{F}(V9,V2,V8), P_parallel_through_point-{F}(V10,V11,V8), P_parallel_through_point-{F}(V12,V11,V13), P_orthogonal_through_point-{F}(V14,V15,V13), P_orthogonal_through_point-{F}(V14,V16,V17), P_orthogonal_through_point-{F}(V18,V19,V17), P_orthogonal_through_point-{F}(V18,V20,V21), P_parallel_through_point-{F}(V22,V23,V21), P_parallel_through_point-{F}(V24,V23,V25), P_parallel_through_point-{F}(V21,V26,V25), pppp0-{F}(V25,V27,V2), P_orthogonal_through_point-{F}(V27,V28,V1), P_parallel_through_point-{F}(V29,V30,V13), P_parallel_through_point-{F}(V31,V30,V17), P_orthogonal_through_point-{F}(V32,V33,V17), P_parallel_through_point-{F}(V34,V33,V21), P_parallel_through_point-{F}(V35,V36,V8), P_parallel_through_point-{F}(V35,V37,V13) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #760: disj( #4, #700+#288+#9+#0 ), references = 2, size of lhs = 28:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V4,V1), P_parallel_through_point-{F}(V5,V4,V6), P_parallel_through_point-{F}(V6,V7,V1), P_orthogonal_through_point-{F}(V8,V9,V6), P_orthogonal_through_point-{F}(V8,V10,V11), P_orthogonal_through_point-{F}(V12,V13,V11), P_orthogonal_through_point-{F}(V12,V14,V15), P_orthogonal_through_point-{F}(V16,V17,V15), P_orthogonal_through_point-{F}(V16,V18,V19), P_orthogonal_through_point-{F}(V20,V21,V19), P_orthogonal_through_point-{F}(V20,V22,V23), P_parallel_through_point-{F}(V24,V25,V23), P_parallel_through_point-{F}(V26,V25,V27), distinct_lines-{F}(V27,V28), P_parallel_through_point-{F}(V1,V29,V30), P_parallel_through_point-{F}(V31,V2,V30), P_parallel_through_point-{F}(V32,V33,V15), P_parallel_through_point-{F}(V34,V33,V19), P_orthogonal_through_point-{F}(V35,V36,V19), P_parallel_through_point-{F}(V37,V36,V23), P_parallel_through_point-{F}(V38,V39,V27), P_parallel_through_point-{F}(V38,V40,V23), P_parallel_through_point-{F}(V41,V42,V15), P_parallel_through_point-{F}(V43,V42,V11), P_orthogonal_through_point-{F}(V44,V45,V11), P_parallel_through_point-{F}(V46,V45,V6) | distinct_lines-{T}(V28,V30)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #784: exists( #34, #782 ), references = 1, size of lhs = 33:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V4,V1), P_parallel_through_point-{F}(V5,V4,V6), P_parallel_through_point-{F}(V6,V7,V1), P_orthogonal_through_point-{F}(V8,V9,V6), P_orthogonal_through_point-{F}(V8,V10,V11), P_orthogonal_through_point-{F}(V12,V13,V11), P_orthogonal_through_point-{F}(V12,V14,V15), P_orthogonal_through_point-{F}(V16,V17,V15), P_orthogonal_through_point-{F}(V16,V18,V19), P_orthogonal_through_point-{F}(V20,V21,V19), P_orthogonal_through_point-{F}(V20,V22,V23), P_parallel_through_point-{F}(V24,V25,V23), P_parallel_through_point-{F}(V26,V25,V27), pppp0-{F}(V27,V28,V29), P_parallel_through_point-{F}(V1,V30,V31), P_parallel_through_point-{F}(V32,V2,V31), P_parallel_through_point-{F}(V33,V29,V31), P_parallel_through_point-{F}(V34,V35,V15), P_parallel_through_point-{F}(V36,V35,V19), P_orthogonal_through_point-{F}(V37,V38,V19), P_parallel_through_point-{F}(V39,V38,V23), P_parallel_through_point-{F}(V40,V41,V27), P_parallel_through_point-{F}(V40,V42,V23), P_parallel_through_point-{F}(V43,V44,V15), P_parallel_through_point-{F}(V45,V44,V11), P_orthogonal_through_point-{F}(V46,V47,V11), P_parallel_through_point-{F}(V48,V47,V6), convergent_lines-{F}(V49,V50), P_intersection_point-{F}(V49,V50,V29), P_parallel_through_point-{F}(V50,V51,V31), P_orthogonal_through_point-{F}(V28,V52,V50) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #786: exists( #33, #783 ), references = 1, size of lhs = 29:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V2), P_parallel_through_point-{F}(V4,V5,V1), P_parallel_through_point-{F}(V6,V5,V7), P_parallel_through_point-{F}(V7,V8,V1), P_orthogonal_through_point-{F}(V9,V10,V7), P_orthogonal_through_point-{F}(V9,V11,V12), P_orthogonal_through_point-{F}(V13,V14,V12), P_orthogonal_through_point-{F}(V13,V15,V16), P_orthogonal_through_point-{F}(V17,V18,V16), P_orthogonal_through_point-{F}(V17,V19,V20), P_orthogonal_through_point-{F}(V21,V22,V20), P_orthogonal_through_point-{F}(V21,V23,V24), P_parallel_through_point-{F}(V25,V26,V24), P_parallel_through_point-{F}(V27,V26,V28), pppp0-{F}(V28,V29,V2), P_orthogonal_through_point-{F}(V29,V30,V1), P_parallel_through_point-{F}(V31,V32,V16), P_parallel_through_point-{F}(V33,V32,V20), P_orthogonal_through_point-{F}(V34,V35,V20), P_parallel_through_point-{F}(V36,V35,V24), P_parallel_through_point-{F}(V37,V38,V28), P_parallel_through_point-{F}(V37,V39,V24), P_parallel_through_point-{F}(V40,V41,V16), P_parallel_through_point-{F}(V42,V41,V12), P_orthogonal_through_point-{F}(V43,V44,V12), P_parallel_through_point-{F}(V45,V44,V7) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #804: exists( #34, #802 ), references = 1, size of lhs = 24:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V4,V0), P_parallel_through_point-{F}(V0,V5,V6), P_parallel_through_point-{F}(V7,V8,V6), P_parallel_through_point-{F}(V9,V8,V10), P_orthogonal_through_point-{F}(V11,V12,V10), P_orthogonal_through_point-{F}(V11,V13,V14), P_orthogonal_through_point-{F}(V15,V16,V14), P_orthogonal_through_point-{F}(V15,V17,V18), P_parallel_through_point-{F}(V19,V20,V18), P_parallel_through_point-{F}(V21,V20,V22), P_parallel_through_point-{F}(V18,V23,V22), pppp0-{F}(V22,V3,V24), P_parallel_through_point-{F}(V25,V24,V6), P_line_connecting-{F}(V24,V2,V26), P_parallel_through_point-{F}(V26,V27,V0), P_orthogonal_through_point-{F}(V3,V28,V26), P_parallel_through_point-{F}(V29,V30,V10), P_parallel_through_point-{F}(V31,V30,V14), P_orthogonal_through_point-{F}(V32,V33,V14), P_parallel_through_point-{F}(V34,V33,V18), P_parallel_through_point-{F}(V35,V36,V6), P_parallel_through_point-{F}(V35,V37,V10) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #896: disj( #17, #56+#13+#70+#6+#0 ), references = 1, size of lhs = 5:
% 210.68/210.88 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V0,V4), P_orthogonal_through_point-{F}(V5,V6,V2), P_orthogonal_through_point-{F}(V5,V7,V4) | unorthogonal_lines-{T}(V4,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #953: disj( #17, #88+#56+#14 ), references = 1, size of lhs = 2:
% 210.68/210.88 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V2,V3,V4) | unorthogonal_lines-{T}(V0,V4)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #954: disj( #17, #88+#13+#224 ), references = 1, size of lhs = 12:
% 210.68/210.88 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V4,V5,V2), P_orthogonal_through_point-{F}(V6,V7,V4), P_orthogonal_through_point-{F}(V6,V8,V9), P_orthogonal_through_point-{F}(V10,V11,V9), P_orthogonal_through_point-{F}(V10,V12,V13), P_parallel_through_point-{F}(V13,V14,V15), P_parallel_through_point-{F}(V16,V17,V13), P_parallel_through_point-{F}(V18,V17,V9), P_orthogonal_through_point-{F}(V19,V20,V9), P_parallel_through_point-{F}(V21,V20,V4) | unorthogonal_lines-{T}(V2,V15)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #955: disj( #17, #88+#13+#225 ), references = 1, size of lhs = 13:
% 210.68/210.88 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), P_orthogonal_through_point-{F}(V5,V6,V4), P_orthogonal_through_point-{F}(V5,V7,V8), P_orthogonal_through_point-{F}(V9,V10,V8), P_orthogonal_through_point-{F}(V9,V11,V12), P_parallel_through_point-{F}(V12,V13,V14), P_parallel_through_point-{F}(V15,V16,V12), P_parallel_through_point-{F}(V17,V16,V8), P_orthogonal_through_point-{F}(V18,V19,V8), P_parallel_through_point-{F}(V20,V19,V4), P_parallel_through_point-{F}(V21,V22,V2), P_parallel_through_point-{F}(V21,V23,V4) | unorthogonal_lines-{T}(V2,V14)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1002: disj( #4, #293+#288+#6+#0 ), references = 3, size of lhs = 17:
% 210.68/210.88 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V4,V2), P_orthogonal_through_point-{F}(V3,V5,V6), P_orthogonal_through_point-{F}(V7,V8,V6), P_orthogonal_through_point-{F}(V7,V9,V10), P_parallel_through_point-{F}(V11,V12,V10), P_parallel_through_point-{F}(V13,V12,V14), distinct_lines-{F}(V14,V15), P_parallel_through_point-{F}(V2,V16,V17), P_parallel_through_point-{F}(V18,V0,V17), P_parallel_through_point-{F}(V19,V20,V2), P_parallel_through_point-{F}(V21,V20,V6), P_orthogonal_through_point-{F}(V22,V23,V6), P_parallel_through_point-{F}(V24,V23,V10), P_parallel_through_point-{F}(V25,V26,V14), P_parallel_through_point-{F}(V25,V27,V10) | distinct_lines-{T}(V15,V17)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1021: mergings( V36 == V37; #1019 ), references = 1, size of lhs = 39:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V4,V0), P_parallel_through_point-{F}(V0,V5,V6), P_parallel_through_point-{F}(V7,V8,V6), P_parallel_through_point-{F}(V9,V8,V10), P_orthogonal_through_point-{F}(V11,V12,V10), P_orthogonal_through_point-{F}(V11,V13,V14), P_orthogonal_through_point-{F}(V15,V16,V14), P_orthogonal_through_point-{F}(V15,V17,V18), P_parallel_through_point-{F}(V19,V20,V18), P_parallel_through_point-{F}(V21,V20,V22), P_parallel_through_point-{F}(V18,V23,V22), pppp0-{F}(V22,V3,V24), P_parallel_through_point-{F}(V25,V24,V6), P_line_connecting-{F}(V24,V2,V26), P_orthogonal_through_point-{F}(V3,V27,V26), P_parallel_through_point-{F}(V28,V29,V10), P_parallel_through_point-{F}(V30,V29,V14), P_orthogonal_through_point-{F}(V31,V32,V14), P_parallel_through_point-{F}(V33,V32,V18), P_parallel_through_point-{F}(V34,V35,V6), P_parallel_through_point-{F}(V34,V36,V10), P_orthogonal_through_point-{F}(V37,V38,V26), P_orthogonal_through_point-{F}(V37,V39,V40), P_orthogonal_through_point-{F}(V41,V42,V40), P_orthogonal_through_point-{F}(V41,V43,V44), P_parallel_through_point-{F}(V45,V46,V44), P_parallel_through_point-{F}(V47,V46,V0), P_parallel_through_point-{F}(V26,V48,V49), P_parallel_through_point-{F}(V50,V24,V49), P_parallel_through_point-{F}(V26,V51,V49), P_parallel_through_point-{F}(V52,V24,V49), P_parallel_through_point-{F}(V53,V54,V26), P_parallel_through_point-{F}(V55,V54,V40), P_orthogonal_through_point-{F}(V56,V57,V40), P_parallel_through_point-{F}(V58,V57,V44), P_parallel_through_point-{F}(V59,V60,V0), P_parallel_through_point-{F}(V59,V61,V44) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1023: exists( #33, #1019 ), references = 1, size of lhs = 35:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V4,V0), P_parallel_through_point-{F}(V0,V5,V6), P_parallel_through_point-{F}(V7,V8,V6), P_parallel_through_point-{F}(V9,V8,V10), P_orthogonal_through_point-{F}(V11,V12,V10), P_orthogonal_through_point-{F}(V11,V13,V14), P_orthogonal_through_point-{F}(V15,V16,V14), P_orthogonal_through_point-{F}(V15,V17,V18), P_parallel_through_point-{F}(V19,V20,V18), P_parallel_through_point-{F}(V21,V20,V22), P_parallel_through_point-{F}(V18,V23,V22), pppp0-{F}(V22,V3,V24), P_parallel_through_point-{F}(V25,V24,V6), P_line_connecting-{F}(V24,V2,V26), P_orthogonal_through_point-{F}(V3,V27,V26), P_parallel_through_point-{F}(V28,V29,V10), P_parallel_through_point-{F}(V30,V29,V14), P_orthogonal_through_point-{F}(V31,V32,V14), P_parallel_through_point-{F}(V33,V32,V18), P_parallel_through_point-{F}(V34,V35,V6), P_parallel_through_point-{F}(V34,V36,V10), P_orthogonal_through_point-{F}(V37,V38,V26), P_orthogonal_through_point-{F}(V37,V39,V40), P_orthogonal_through_point-{F}(V41,V42,V40), P_orthogonal_through_point-{F}(V41,V43,V44), P_parallel_through_point-{F}(V45,V46,V44), P_parallel_through_point-{F}(V47,V46,V0), P_parallel_through_point-{F}(V48,V49,V26), P_parallel_through_point-{F}(V50,V49,V40), P_orthogonal_through_point-{F}(V51,V52,V40), P_parallel_through_point-{F}(V53,V52,V44), P_parallel_through_point-{F}(V54,V55,V0), P_parallel_through_point-{F}(V54,V56,V44) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1045: disj( #24, input, input ), references = 1, size of lhs = 4:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V4,V3,V1), #-{F} V5 | unorthogonal_lines-{T}(V0,V5), unorthogonal_lines-{T}(V1,V5)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1046: disj( #24, input, input ), references = 2, size of lhs = 4:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V4,V3,V1), #-{F} V5 | unorthogonal_lines-{T}(V0,V5), unorthogonal_lines-{T}(V1,V5)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1068: disj( #24, input, input ), references = 1, size of lhs = 4:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V1), #-{F} V5 | unorthogonal_lines-{T}(V0,V5), unorthogonal_lines-{T}(V1,V5)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1105: disj( #1103, input ), references = 1, size of lhs = 4:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V4,V3,V1), P_orthogonal_through_point-{F}(V5,V6,V1) | unorthogonal_lines-{T}(V0,V5)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1168: disj( #1046, input ), references = 1, size of lhs = 4:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V4,V3,V1), P_orthogonal_through_point-{F}(V5,V6,V1) | unorthogonal_lines-{T}(V0,V5)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1172: exists( #34, #1170 ), references = 1, size of lhs = 3:
% 210.68/210.88 pppp1-{F}(V0,V1), pppp0-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V2,V0) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1209: exists( #33, #1207 ), references = 1, size of lhs = 18:
% 210.68/210.88 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V4,V2), P_orthogonal_through_point-{F}(V3,V5,V6), P_orthogonal_through_point-{F}(V7,V8,V6), P_orthogonal_through_point-{F}(V7,V9,V10), P_parallel_through_point-{F}(V11,V12,V10), P_parallel_through_point-{F}(V13,V12,V14), distinct_lines-{F}(V14,V15), P_parallel_through_point-{F}(V16,V0,V15), P_parallel_through_point-{F}(V17,V18,V2), P_parallel_through_point-{F}(V19,V18,V6), P_orthogonal_through_point-{F}(V20,V21,V6), P_parallel_through_point-{F}(V22,V21,V10), P_parallel_through_point-{F}(V23,V24,V14), P_parallel_through_point-{F}(V23,V25,V10), P_parallel_through_point-{F}(V26,V27,V15), P_parallel_through_point-{F}(V26,V28,V2) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1255: disj( #16, input, input ), references = 1, size of lhs = 3:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), P_orthogonal_through_point-{F}(V3,V4,V1) | apart_point_and_line-{T}(V4,V0)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1269: disj( #16, #88+#14, input ), references = 1, size of lhs = 5:
% 210.68/210.88 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V2,V4,V0), pppp0-{F}(V0,V5,V6), P_orthogonal_through_point-{F}(V5,V6,V7) | apart_point_and_line-{T}(V6,V1)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1275: disj( #17, #13+#70+#8+#0 ), references = 1, size of lhs = 5:
% 210.68/210.88 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V2,V4), P_orthogonal_through_point-{F}(V5,V6,V0), P_orthogonal_through_point-{F}(V5,V7,V4) | unorthogonal_lines-{T}(V0,V4)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1367: disj( #24, input, input ), references = 1, size of lhs = 3:
% 210.68/210.88 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2), P_orthogonal_through_point-{F}(V3,V4,V1) | apart_point_and_line-{T}(V4,V0), unorthogonal_lines-{T}(V1,V2)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1369: disj( #1366, input ), references = 1, size of lhs = 4:
% 210.68/210.88 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1), P_orthogonal_through_point-{F}(V4,V5,V1) | apart_point_and_line-{T}(V5,V0)
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1373: exists( #34, #1371 ), references = 1, size of lhs = 2:
% 210.68/210.88 pppp1-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1375: exists( #27, #1372 ), references = 1, size of lhs = 1:
% 210.68/210.88 pppp1-{F}(V0,V1) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1377: exists( #26, #1374 ), references = 1, size of lhs = 1:
% 210.68/210.88 pppp2-{F}(V0) | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 #1379: exists( #25, #1376 ), references = 1, size of lhs = 0:
% 210.68/210.88 FALSE | FALSE
% 210.68/210.88 (used 0 times, uses = {})
% 210.68/210.88
% 210.68/210.88 number of learnt formulas = 61
% 210.68/210.88
% 210.68/210.88
% 210.68/210.88 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 210.68/210.88
% 210.68/210.88 randbase = 1
%------------------------------------------------------------------------------