TSTP Solution File: GEO222+2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:02:10 EDT 2022
% Result : Theorem 13.34s 13.53s
% Output : Refutation 13.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 18:15:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.34/13.53 GeoParameters:
% 13.34/13.53
% 13.34/13.53 tptp_input = 1
% 13.34/13.53 tptp_output = 0
% 13.34/13.53 nonempty = 1
% 13.34/13.53 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.34/13.53 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 13.34/13.53
% 13.34/13.53
% 13.34/13.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.34/13.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.34/13.53
% 13.34/13.53 RuleSystem INPUT:
% 13.34/13.53
% 13.34/13.53 Initial Rules:
% 13.34/13.53 #0: input, references = 5, size of lhs = 1:
% 13.34/13.53 distinct_points-{F}(V0,V0) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #1: input, references = 3, size of lhs = 1:
% 13.34/13.53 distinct_lines-{F}(V0,V0) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #2: input, references = 4, size of lhs = 1:
% 13.34/13.53 convergent_lines-{F}(V0,V0) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #3: input, references = 3, size of lhs = 2:
% 13.34/13.53 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #4: input, references = 5, size of lhs = 2:
% 13.34/13.53 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #5: input, references = 6, size of lhs = 2:
% 13.34/13.53 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #6: input, references = 4, size of lhs = 3:
% 13.34/13.53 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #7: input, references = 3, size of lhs = 3:
% 13.34/13.53 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #8: input, references = 4, size of lhs = 3:
% 13.34/13.53 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #9: input, references = 4, size of lhs = 3:
% 13.34/13.53 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #10: input, references = 3, size of lhs = 2:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #11: input, references = 3, size of lhs = 2:
% 13.34/13.53 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #12: input, references = 3, size of lhs = 2:
% 13.34/13.53 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #13: input, references = 11, size of lhs = 1:
% 13.34/13.53 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #14: input, references = 9, size of lhs = 2:
% 13.34/13.53 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #15: input, references = 6, size of lhs = 2:
% 13.34/13.53 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #16: input, references = 4, size of lhs = 2:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #17: input, references = 9, size of lhs = 2:
% 13.34/13.53 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #18: input, references = 3, size of lhs = 3:
% 13.34/13.53 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #19: input, references = 4, size of lhs = 3:
% 13.34/13.53 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #20: input, references = 3, size of lhs = 3:
% 13.34/13.53 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #21: input, references = 3, size of lhs = 3:
% 13.34/13.53 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #22: input, references = 5, size of lhs = 2:
% 13.34/13.53 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #23: input, references = 3, size of lhs = 2:
% 13.34/13.53 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #24: input, references = 11, size of lhs = 3:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #25: input, references = 4, size of lhs = 0:
% 13.34/13.53 FALSE | EXISTS V0: pppp1-{T}(V0)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #26: input, references = 4, size of lhs = 1:
% 13.34/13.53 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #27: input, references = 10, size of lhs = 3:
% 13.34/13.53 pppp0-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V0,V2), P_orthogonal_through_point-{F}(V2,V0,V3) | convergent_lines-{T}(V1,V3)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #28: input, references = 3, size of lhs = 2:
% 13.34/13.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #29: input, references = 3, size of lhs = 2:
% 13.34/13.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #30: input, references = 4, size of lhs = 2:
% 13.34/13.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #31: input, references = 12, size of lhs = 2:
% 13.34/13.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 number of initial rules = 32
% 13.34/13.53
% 13.34/13.53 Simplifiers:
% 13.34/13.53 #32: unsound, references = 3, size of lhs = 3:
% 13.34/13.53 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #33: unsound, references = 3, size of lhs = 3:
% 13.34/13.53 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #34: unsound, references = 3, size of lhs = 3:
% 13.34/13.53 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #35: unsound, references = 3, size of lhs = 3:
% 13.34/13.53 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #36: unsound, references = 3, size of lhs = 3:
% 13.34/13.53 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #37: unsound, references = 3, size of lhs = 3:
% 13.34/13.53 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #38: unsound, references = 3, size of lhs = 3:
% 13.34/13.53 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 number of simplifiers = 7
% 13.34/13.53
% 13.34/13.53 Learnt:
% 13.34/13.53 #40: disj( #17, input ), references = 4, size of lhs = 1:
% 13.34/13.53 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #43: disj( #17, input ), references = 1, size of lhs = 1:
% 13.34/13.53 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #45: disj( #4, input ), references = 3, size of lhs = 1:
% 13.34/13.53 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #49: disj( #5, input ), references = 8, size of lhs = 2:
% 13.34/13.53 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | convergent_lines-{T}(V1,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #56: disj( #17, input ), references = 1, size of lhs = 1:
% 13.34/13.53 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #59: disj( #16, input, input ), references = 1, size of lhs = 3:
% 13.34/13.53 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V4,V3,V1) | convergent_lines-{T}(V0,V1)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #63: disj( #24, input, input ), references = 1, size of lhs = 4:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #65: disj( #62, input ), references = 5, size of lhs = 4:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #75: exists( #31, #73 ), references = 1, size of lhs = 4:
% 13.34/13.53 pppp0-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V4,V0,V1) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #82: exists( #31, #80 ), references = 1, size of lhs = 5:
% 13.34/13.53 pppp0-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V0,V2), P_orthogonal_through_point-{F}(V2,V3,V4), P_parallel_through_point-{F}(V4,V5,V1), P_parallel_through_point-{F}(V6,V0,V4) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #99: disj( #17, #49+#14 ), references = 1, size of lhs = 2:
% 13.34/13.53 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V3,V4) | unorthogonal_lines-{T}(V2,V4)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #135: disj( #24, input, input ), references = 1, size of lhs = 4:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #160: disj( #24, input, input ), references = 1, size of lhs = 4:
% 13.34/13.53 distinct_lines-{F}(V0,V1), P_orthogonal_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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #182: disj( #180, input ), references = 2, size of lhs = 4:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #205: disj( #24, input, input ), references = 1, size of lhs = 4:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #206: disj( #24, input, input ), references = 1, size of lhs = 4:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #248: disj( #24, input, input, input ), references = 1, size of lhs = 4:
% 13.34/13.53 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V1), P_orthogonal_through_point-{F}(V5,V6,V0) | unorthogonal_lines-{T}(V1,V5)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #266: disj( #4, #182+#22 ), references = 1, size of lhs = 5:
% 13.34/13.53 distinct_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V4,V3,V5), P_orthogonal_through_point-{F}(V6,V7,V5), P_orthogonal_through_point-{F}(V6,V8,V0) | distinct_lines-{T}(V1,V5)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #267: disj( #4, #65+#15 ), references = 1, size of lhs = 5:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #284: disj( #24, input, input ), references = 1, size of lhs = 3:
% 13.34/13.53 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_orthogonal_through_point-{F}(V4,V5,V1) | apart_point_and_line-{T}(V3,V1), unorthogonal_lines-{T}(V0,V4)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #286: disj( #283, input ), references = 5, size of lhs = 4:
% 13.34/13.53 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)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #318: disj( #17, #49+#49+#49+#14 ), references = 1, size of lhs = 4:
% 13.34/13.53 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V2,V3,V4), P_parallel_through_point-{F}(V0,V5,V6), P_parallel_through_point-{F}(V6,V7,V8) | unorthogonal_lines-{T}(V4,V8)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #364: disj( #24, #9+#6+#0, #9+#6+#0 ), references = 1, size of lhs = 8:
% 13.34/13.53 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V4,V3,V1), convergent_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V6), P_line_connecting-{F}(V4,V6,V2), #-{F} V7 | unorthogonal_lines-{T}(V1,V7), unorthogonal_lines-{T}(V2,V7)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #390: disj( #19, input ), references = 3, size of lhs = 3:
% 13.34/13.53 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #401: exists( #31, #397 ), references = 1, size of lhs = 5:
% 13.34/13.53 pppp0-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V1,V2), P_orthogonal_through_point-{F}(V1,V3,V2), P_parallel_through_point-{F}(V4,V0,V1) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #412: exists( #31, #408 ), references = 1, size of lhs = 3:
% 13.34/13.53 pppp0-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V1), P_parallel_through_point-{F}(V3,V0,V1) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #414: disj( #5, input ), references = 11, size of lhs = 1:
% 13.34/13.53 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #417: disj( #17, #414+#14 ), references = 1, size of lhs = 1:
% 13.34/13.53 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #436: exists( #31, #432 ), references = 2, size of lhs = 7:
% 13.34/13.53 pppp0-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V3,V2), P_parallel_through_point-{F}(V4,V0,V3), P_parallel_through_point-{F}(V3,V5,V1), P_orthogonal_through_point-{F}(V6,V7,V2), P_parallel_through_point-{F}(V6,V8,V3) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #437: exists( #31, #433 ), references = 1, size of lhs = 5:
% 13.34/13.53 pppp0-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V0), P_orthogonal_through_point-{F}(V2,V4,V1) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #443: exists( #31, #441 ), references = 1, size of lhs = 5:
% 13.34/13.53 pppp0-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3), P_parallel_through_point-{F}(V3,V4,V1), P_parallel_through_point-{F}(V3,V5,V1), P_parallel_through_point-{F}(V1,V6,V3) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #460: disj( #5, #414+#14 ), references = 4, size of lhs = 2:
% 13.34/13.53 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V0,V2,V3) | convergent_lines-{T}(V1,V3)
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #475: exists( #31, #473 ), references = 1, size of lhs = 5:
% 13.34/13.53 pppp0-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V0,V2), P_parallel_through_point-{F}(V1,V3,V4), P_parallel_through_point-{F}(V5,V0,V4), P_orthogonal_through_point-{F}(V2,V6,V4) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #485: exists( #31, #483 ), references = 2, size of lhs = 7:
% 13.34/13.53 pppp0-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V3,V2), P_parallel_through_point-{F}(V1,V4,V3), P_parallel_through_point-{F}(V5,V0,V3), P_orthogonal_through_point-{F}(V6,V7,V2), P_parallel_through_point-{F}(V6,V8,V3) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #495: exists( #31, #493 ), references = 1, size of lhs = 5:
% 13.34/13.53 pppp0-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V3), P_parallel_through_point-{F}(V1,V4,V3), P_parallel_through_point-{F}(V5,V0,V3), P_parallel_through_point-{F}(V1,V6,V3) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #497: exists( #30, #494 ), references = 1, size of lhs = 1:
% 13.34/13.53 pppp0-{F}(V0,V1) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #499: exists( #26, #496 ), references = 1, size of lhs = 1:
% 13.34/13.53 pppp1-{F}(V0) | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 #501: exists( #25, #498 ), references = 1, size of lhs = 0:
% 13.34/13.53 FALSE | FALSE
% 13.34/13.53 (used 0 times, uses = {})
% 13.34/13.53
% 13.34/13.53 number of learnt formulas = 38
% 13.34/13.53
% 13.34/13.53
% 13.34/13.53 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.34/13.53
% 13.34/13.53 randbase = 1
%------------------------------------------------------------------------------