TSTP Solution File: GEO210+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:02:05 EDT 2022
% Result : Theorem 11.56s 11.76s
% Output : Refutation 11.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 17:57:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 11.56/11.76 GeoParameters:
% 11.56/11.76
% 11.56/11.76 tptp_input = 1
% 11.56/11.76 tptp_output = 0
% 11.56/11.76 nonempty = 1
% 11.56/11.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.56/11.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 11.56/11.76
% 11.56/11.76
% 11.56/11.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.56/11.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.56/11.76
% 11.56/11.76 RuleSystem INPUT:
% 11.56/11.76
% 11.56/11.76 Initial Rules:
% 11.56/11.76 #0: input, references = 3, size of lhs = 1:
% 11.56/11.76 distinct_points-{F}(V0,V0) | FALSE
% 11.56/11.76 (used 0 times, uses = {})
% 11.56/11.76
% 11.56/11.76 #1: input, references = 3, size of lhs = 1:
% 11.56/11.76 distinct_lines-{F}(V0,V0) | FALSE
% 11.56/11.76 (used 0 times, uses = {})
% 11.56/11.76
% 11.56/11.76 #2: input, references = 3, size of lhs = 1:
% 11.56/11.76 convergent_lines-{F}(V0,V0) | FALSE
% 11.56/11.76 (used 0 times, uses = {})
% 11.56/11.76
% 11.56/11.76 #3: input, references = 3, size of lhs = 2:
% 11.56/11.76 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 11.56/11.76 (used 0 times, uses = {})
% 11.56/11.76
% 11.56/11.76 #4: input, references = 6, size of lhs = 2:
% 11.56/11.76 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #5: input, references = 5, size of lhs = 2:
% 11.56/11.77 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #6: input, references = 3, size of lhs = 3:
% 11.56/11.77 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #7: input, references = 3, size of lhs = 3:
% 11.56/11.77 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #8: input, references = 5, size of lhs = 3:
% 11.56/11.77 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #9: input, references = 9, size of lhs = 3:
% 11.56/11.77 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #10: input, references = 3, size of lhs = 2:
% 11.56/11.77 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)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #11: input, references = 3, size of lhs = 2:
% 11.56/11.77 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #12: input, references = 3, size of lhs = 2:
% 11.56/11.77 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #13: input, references = 4, size of lhs = 2:
% 11.56/11.77 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #14: input, references = 5, size of lhs = 2:
% 11.56/11.77 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #15: input, references = 7, size of lhs = 2:
% 11.56/11.77 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #16: input, references = 6, size of lhs = 2:
% 11.56/11.77 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)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #17: input, references = 14, size of lhs = 2:
% 11.56/11.77 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #18: input, references = 3, size of lhs = 3:
% 11.56/11.77 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #19: input, references = 4, size of lhs = 3:
% 11.56/11.77 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #20: input, references = 3, size of lhs = 3:
% 11.56/11.77 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #21: input, references = 3, size of lhs = 3:
% 11.56/11.77 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #22: input, references = 4, size of lhs = 2:
% 11.56/11.77 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #23: input, references = 5, size of lhs = 2:
% 11.56/11.77 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #24: input, references = 7, size of lhs = 3:
% 11.56/11.77 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)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #25: input, references = 4, size of lhs = 0:
% 11.56/11.77 FALSE | EXISTS V0: pppp2-{T}(V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #26: input, references = 4, size of lhs = 1:
% 11.56/11.77 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #27: input, references = 5, size of lhs = 1:
% 11.56/11.77 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #28: input, references = 5, size of lhs = 2:
% 11.56/11.77 pppp1-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #29: input, references = 9, size of lhs = 2:
% 11.56/11.77 pppp0-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V1,V2,V3) | distinct_lines-{T}(V0,V3)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #30: input, references = 6, size of lhs = 3:
% 11.56/11.77 pppp0-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V1,V2,V3), apart_point_and_line-{F}(V2,V0) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #31: input, references = 3, size of lhs = 2:
% 11.56/11.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #32: input, references = 3, size of lhs = 2:
% 11.56/11.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #33: input, references = 3, size of lhs = 2:
% 11.56/11.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #34: input, references = 8, size of lhs = 2:
% 11.56/11.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 number of initial rules = 35
% 11.56/11.77
% 11.56/11.77 Simplifiers:
% 11.56/11.77 #35: unsound, references = 3, size of lhs = 3:
% 11.56/11.77 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #36: unsound, references = 3, size of lhs = 3:
% 11.56/11.77 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #37: unsound, references = 3, size of lhs = 3:
% 11.56/11.77 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #38: unsound, references = 3, size of lhs = 3:
% 11.56/11.77 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #39: unsound, references = 3, size of lhs = 3:
% 11.56/11.77 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #40: unsound, references = 3, size of lhs = 3:
% 11.56/11.77 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V5), V1 == V4 | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #41: unsound, references = 3, size of lhs = 3:
% 11.56/11.77 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #42: unsound, references = 3, size of lhs = 3:
% 11.56/11.77 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #43: unsound, references = 3, size of lhs = 3:
% 11.56/11.77 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #44: unsound, references = 3, size of lhs = 3:
% 11.56/11.77 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 number of simplifiers = 10
% 11.56/11.77
% 11.56/11.77 Learnt:
% 11.56/11.77 #46: disj( #17, input ), references = 1, size of lhs = 1:
% 11.56/11.77 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #48: disj( #13, input ), references = 6, size of lhs = 1:
% 11.56/11.77 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #52: disj( #5, input ), references = 5, size of lhs = 2:
% 11.56/11.77 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | convergent_lines-{T}(V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #54: disj( #4, input ), references = 7, size of lhs = 1:
% 11.56/11.77 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #56: disj( #17, input ), references = 1, size of lhs = 1:
% 11.56/11.77 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #58: disj( #5, input ), references = 7, size of lhs = 1:
% 11.56/11.77 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #60: disj( #17, input ), references = 1, size of lhs = 1:
% 11.56/11.77 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #64: disj( #19, input ), references = 1, size of lhs = 2:
% 11.56/11.77 unorthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #65: disj( #19, input ), references = 2, size of lhs = 3:
% 11.56/11.77 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unorthogonal_lines-{T}(V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #69: disj( #17, #58+#62+#28 ), references = 1, size of lhs = 2:
% 11.56/11.77 unorthogonal_lines-{F}(V0,V1), pppp1-{F}(V1,V0) | unorthogonal_lines-{T}(V1,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #72: disj( #17, #68+#28 ), references = 1, size of lhs = 1:
% 11.56/11.77 pppp1-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #80: disj( #17, #58+#14 ), references = 1, size of lhs = 1:
% 11.56/11.77 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #87: disj( #24, input, input ), references = 1, size of lhs = 4:
% 11.56/11.77 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)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #89: disj( #86, input ), references = 10, size of lhs = 4:
% 11.56/11.77 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,V0) | apart_point_and_line-{T}(V6,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #102: exists( #34, #100 ), references = 1, size of lhs = 2:
% 11.56/11.77 P_orthogonal_through_point-{F}(V0,V1,V2), pppp0-{F}(V2,V0,V3) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #104: exists( #27, #101 ), references = 1, size of lhs = 2:
% 11.56/11.77 pppp1-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V2,V0) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #114: disj( #17, #48+#89+#15 ), references = 1, size of lhs = 4:
% 11.56/11.77 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V3,V4), P_orthogonal_through_point-{F}(V5,V6,V2), P_parallel_through_point-{F}(V7,V6,V4) | unorthogonal_lines-{T}(V4,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #115: disj( #17, #48+#89+#9 ), references = 1, size of lhs = 5:
% 11.56/11.77 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,V4), P_orthogonal_through_point-{F}(V5,V7,V1) | unorthogonal_lines-{T}(V1,V4)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #116: disj( #17, #48+#89+#23 ), references = 1, size of lhs = 4:
% 11.56/11.77 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V3,V4), P_orthogonal_through_point-{F}(V5,V6,V2), P_orthogonal_through_point-{F}(V7,V6,V4) | unorthogonal_lines-{T}(V4,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #123: disj( #16, input, input ), references = 1, size of lhs = 4:
% 11.56/11.77 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_parallel_through_point-{F}(V4,V3,V0) | convergent_lines-{T}(V0,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #124: disj( #16, input, input ), references = 1, size of lhs = 3:
% 11.56/11.77 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)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #125: disj( #16, input, input ), references = 1, size of lhs = 5:
% 11.56/11.77 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V2,V4), P_intersection_point-{F}(V2,V4,V3) | convergent_lines-{T}(V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #134: disj( #16, input, input ), references = 2, size of lhs = 4:
% 11.56/11.77 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4) | apart_point_and_line-{T}(V4,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #135: disj( #16, input, input ), references = 3, size of lhs = 3:
% 11.56/11.77 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V3,V4,V1) | apart_point_and_line-{T}(V4,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #136: disj( #16, input, input ), references = 4, size of lhs = 3:
% 11.56/11.77 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)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #150: disj( #17, #52+#14 ), references = 1, size of lhs = 2:
% 11.56/11.77 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V3,V4) | unorthogonal_lines-{T}(V2,V4)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #171: disj( #4, #89+#8 ), references = 1, size of lhs = 6:
% 11.56/11.77 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V2,V4), distinct_lines-{F}(V4,V5), P_orthogonal_through_point-{F}(V6,V7,V4), P_orthogonal_through_point-{F}(V6,V8,V0) | distinct_lines-{T}(V5,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #172: disj( #4, #89+#15 ), references = 2, size of lhs = 5:
% 11.56/11.77 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V2,V4,V5), P_orthogonal_through_point-{F}(V6,V7,V0), P_parallel_through_point-{F}(V8,V7,V5) | distinct_lines-{T}(V1,V5)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #188: exists( #34, #182 ), references = 1, size of lhs = 7:
% 11.56/11.77 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V4,V0), pppp0-{F}(V5,V3,V2), P_parallel_through_point-{F}(V0,V6,V5), P_orthogonal_through_point-{F}(V7,V8,V0), P_parallel_through_point-{F}(V9,V8,V5) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #189: exists( #34, #183 ), references = 1, size of lhs = 7:
% 11.56/11.77 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V3), P_intersection_point-{F}(V0,V3,V2), P_parallel_through_point-{F}(V0,V4,V5), pppp0-{F}(V5,V6,V2), P_orthogonal_through_point-{F}(V6,V7,V0) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #207: exists( #34, #202 ), references = 1, size of lhs = 5:
% 11.56/11.77 P_orthogonal_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V2,V3,V4), pppp0-{F}(V4,V0,V5), P_parallel_through_point-{F}(V6,V5,V2), P_parallel_through_point-{F}(V7,V5,V2) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #225: disj( #17, #58+#48+#89+#9 ), references = 1, size of lhs = 5:
% 11.56/11.77 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,V4), P_orthogonal_through_point-{F}(V5,V7,V1) | unorthogonal_lines-{T}(V4,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #277: disj( #17, #52+#58+#48+#89+#9 ), references = 1, size of lhs = 6:
% 11.56/11.77 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V1,V3,V4), P_orthogonal_through_point-{F}(V5,V2,V6), P_orthogonal_through_point-{F}(V7,V8,V6), P_orthogonal_through_point-{F}(V7,V9,V1) | unorthogonal_lines-{T}(V4,V6)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #338: disj( #4, #136+#15 ), references = 1, size of lhs = 4:
% 11.56/11.77 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), P_orthogonal_through_point-{F}(V4,V3,V5), P_parallel_through_point-{F}(V5,V6,V1) | distinct_lines-{T}(V0,V5)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #339: disj( #4, #135+#9 ), references = 1, size of lhs = 5:
% 11.56/11.77 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3), P_parallel_through_point-{F}(V4,V3,V5), P_parallel_through_point-{F}(V5,V6,V1) | distinct_lines-{T}(V0,V5)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #340: disj( #4, #136+#8 ), references = 1, size of lhs = 5:
% 11.56/11.77 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_orthogonal_through_point-{F}(V4,V3,V5), P_parallel_through_point-{F}(V5,V6,V1) | distinct_lines-{T}(V0,V5)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #346: exists( #34, #344 ), references = 2, size of lhs = 7:
% 11.56/11.77 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V3,V4,V1), P_parallel_through_point-{F}(V5,V4,V6), P_parallel_through_point-{F}(V1,V7,V6), pppp0-{F}(V6,V8,V2), P_orthogonal_through_point-{F}(V8,V9,V1) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #356: disj( #24, input, input, #65+#22 ), references = 1, size of lhs = 6:
% 11.56/11.77 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V3,V4,V0), P_orthogonal_through_point-{F}(V5,V4,V1), P_parallel_through_point-{F}(V6,V7,V0), P_orthogonal_through_point-{F}(V6,V8,V2) | unorthogonal_lines-{T}(V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #357: disj( #24, input, input, #65+#22 ), references = 1, size of lhs = 6:
% 11.56/11.77 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V3,V4,V0), P_parallel_through_point-{F}(V5,V4,V1), P_parallel_through_point-{F}(V6,V7,V0), P_orthogonal_through_point-{F}(V6,V8,V2) | unorthogonal_lines-{T}(V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #381: disj( #17, #58+#52+#9 ), references = 1, size of lhs = 3:
% 11.56/11.77 apart_point_and_line-{F}(V0,V1), P_intersection_point-{F}(V2,V1,V0), P_parallel_through_point-{F}(V1,V3,V4) | unorthogonal_lines-{T}(V2,V4)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #382: disj( #17, #58+#52+#346 ), references = 1, size of lhs = 7:
% 11.56/11.77 P_orthogonal_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V2,V3,V4), P_intersection_point-{F}(V5,V2,V6), P_parallel_through_point-{F}(V7,V1,V8), P_parallel_through_point-{F}(V2,V9,V8), pppp0-{F}(V8,V10,V6), P_orthogonal_through_point-{F}(V10,V11,V2) | unorthogonal_lines-{T}(V5,V4)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #400: disj( #16, input, input ), references = 1, size of lhs = 4:
% 11.56/11.77 distinct_lines-{F}(V0,V1), pppp0-{F}(V1,V2,V3), P_orthogonal_through_point-{F}(V4,V3,V0), P_orthogonal_through_point-{F}(V2,V3,V5) | convergent_lines-{T}(V0,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #401: disj( #16, input, input ), references = 1, size of lhs = 3:
% 11.56/11.77 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)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #402: disj( #16, input, input ), references = 1, size of lhs = 5:
% 11.56/11.77 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), pppp0-{F}(V2,V4,V3), P_orthogonal_through_point-{F}(V4,V3,V5) | convergent_lines-{T}(V1,V2)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #418: disj( #24, input, input, input ), references = 1, size of lhs = 6:
% 11.56/11.77 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), pppp0-{F}(V2,V4,V3), P_orthogonal_through_point-{F}(V4,V3,V5), P_orthogonal_through_point-{F}(V6,V7,V1) | unorthogonal_lines-{T}(V2,V6)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #419: disj( #24, input, input, input ), references = 1, size of lhs = 5:
% 11.56/11.77 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), P_parallel_through_point-{F}(V4,V3,V2), P_orthogonal_through_point-{F}(V5,V6,V1) | unorthogonal_lines-{T}(V2,V5)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #420: disj( #24, input, input, input ), references = 1, size of lhs = 5:
% 11.56/11.77 distinct_lines-{F}(V0,V1), pppp0-{F}(V1,V2,V3), P_parallel_through_point-{F}(V4,V3,V0), P_orthogonal_through_point-{F}(V2,V3,V5), P_orthogonal_through_point-{F}(V6,V7,V0) | unorthogonal_lines-{T}(V1,V6)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #449: disj( #24, input, input ), references = 1, size of lhs = 4:
% 11.56/11.77 distinct_lines-{F}(V0,V1), pppp1-{F}(V1,V2), P_orthogonal_through_point-{F}(V2,V3,V0), #-{F} V4 | apart_point_and_line-{T}(V4,V0), apart_point_and_line-{T}(V4,V1)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #452: disj( #448, input ), references = 1, size of lhs = 5:
% 11.56/11.77 distinct_lines-{F}(V0,V1), pppp1-{F}(V1,V2), P_orthogonal_through_point-{F}(V2,V3,V0), pppp0-{F}(V1,V4,V5), P_orthogonal_through_point-{F}(V4,V5,V6) | apart_point_and_line-{T}(V5,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #453: disj( #448, input ), references = 1, size of lhs = 4:
% 11.56/11.77 distinct_lines-{F}(V0,V1), pppp1-{F}(V1,V2), P_orthogonal_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V5,V1) | apart_point_and_line-{T}(V5,V0)
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #458: exists( #34, #456 ), references = 1, size of lhs = 2:
% 11.56/11.77 pppp1-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #460: exists( #27, #457 ), references = 1, size of lhs = 1:
% 11.56/11.77 pppp1-{F}(V0,V1) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #462: exists( #26, #459 ), references = 1, size of lhs = 1:
% 11.56/11.77 pppp2-{F}(V0) | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 #464: exists( #25, #461 ), references = 1, size of lhs = 0:
% 11.56/11.77 FALSE | FALSE
% 11.56/11.77 (used 0 times, uses = {})
% 11.56/11.77
% 11.56/11.77 number of learnt formulas = 54
% 11.56/11.77
% 11.56/11.77
% 11.56/11.77 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.56/11.77
% 11.56/11.77 randbase = 1
%------------------------------------------------------------------------------