%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO215+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:02:07 EDT 2022
% Result : Theorem 0.47s 0.70s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO215+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 17:58:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.70 GeoParameters:
% 0.47/0.70
% 0.47/0.70 tptp_input = 1
% 0.47/0.70 tptp_output = 0
% 0.47/0.70 nonempty = 1
% 0.47/0.70 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.70 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.47/0.70
% 0.47/0.70
% 0.47/0.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.70
% 0.47/0.70 RuleSystem INPUT:
% 0.47/0.70
% 0.47/0.70 Initial Rules:
% 0.47/0.70 #0: input, references = 3, size of lhs = 1:
% 0.47/0.70 distinct_points-{F}(V0,V0) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #1: input, references = 3, size of lhs = 1:
% 0.47/0.70 distinct_lines-{F}(V0,V0) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #2: input, references = 3, size of lhs = 1:
% 0.47/0.70 convergent_lines-{F}(V0,V0) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #3: input, references = 3, size of lhs = 2:
% 0.47/0.70 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #4: input, references = 4, size of lhs = 2:
% 0.47/0.70 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #5: input, references = 5, size of lhs = 2:
% 0.47/0.70 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #6: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #7: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #8: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #9: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #10: input, references = 3, size of lhs = 2:
% 0.47/0.70 distinct_lines-{F}(V0,V1), distinct_points-{F}(V3,V2) | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V3,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #11: input, references = 3, size of lhs = 2:
% 0.47/0.70 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #12: input, references = 3, size of lhs = 2:
% 0.47/0.70 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #13: input, references = 4, size of lhs = 2:
% 0.47/0.70 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #14: input, references = 4, size of lhs = 2:
% 0.47/0.70 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #15: input, references = 3, size of lhs = 2:
% 0.47/0.70 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #16: input, references = 3, size of lhs = 2:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #17: input, references = 10, size of lhs = 2:
% 0.47/0.70 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #18: input, references = 3, size of lhs = 3:
% 0.47/0.70 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #19: input, references = 4, size of lhs = 3:
% 0.47/0.70 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #20: input, references = 3, size of lhs = 3:
% 0.47/0.70 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #21: input, references = 3, size of lhs = 3:
% 0.47/0.70 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #22: input, references = 4, size of lhs = 2:
% 0.47/0.70 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #23: input, references = 3, size of lhs = 2:
% 0.47/0.70 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #24: input, references = 5, size of lhs = 3:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #25: input, references = 4, size of lhs = 0:
% 0.47/0.70 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #26: input, references = 4, size of lhs = 1:
% 0.47/0.70 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #27: input, references = 4, size of lhs = 1:
% 0.47/0.70 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #28: input, references = 6, size of lhs = 2:
% 0.47/0.70 pppp1-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #29: input, references = 3, size of lhs = 2:
% 0.47/0.70 pppp0-{F}(V0,V1,V2), unorthogonal_lines-{F}(V0,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #30: input, references = 4, size of lhs = 1:
% 0.47/0.70 pppp0-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #31: input, references = 3, size of lhs = 2:
% 0.47/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #32: input, references = 4, size of lhs = 2:
% 0.47/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #33: input, references = 3, size of lhs = 2:
% 0.47/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #34: input, references = 3, size of lhs = 2:
% 0.47/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 number of initial rules = 35
% 0.47/0.70
% 0.47/0.70 Simplifiers:
% 0.47/0.70 #35: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #36: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #37: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #38: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #39: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #40: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #41: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #42: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #43: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #44: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 number of simplifiers = 10
% 0.47/0.70
% 0.47/0.70 Learnt:
% 0.47/0.70 #46: disj( #17, input ), references = 1, size of lhs = 1:
% 0.47/0.70 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #48: disj( #13, input ), references = 2, size of lhs = 1:
% 0.47/0.70 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #52: disj( #5, input ), references = 1, size of lhs = 2:
% 0.47/0.70 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | convergent_lines-{T}(V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #54: disj( #4, input ), references = 1, size of lhs = 1:
% 0.47/0.70 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #56: disj( #17, input ), references = 1, size of lhs = 1:
% 0.47/0.70 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #58: disj( #5, input ), references = 4, size of lhs = 1:
% 0.47/0.70 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #60: disj( #17, input ), references = 1, size of lhs = 1:
% 0.47/0.70 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #64: disj( #19, input ), references = 1, size of lhs = 2:
% 0.47/0.70 unorthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #65: disj( #19, input ), references = 1, size of lhs = 3:
% 0.47/0.70 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unorthogonal_lines-{T}(V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #69: disj( #17, #58+#62+#28 ), references = 1, size of lhs = 2:
% 0.47/0.70 unorthogonal_lines-{F}(V0,V1), pppp1-{F}(V1,V0) | unorthogonal_lines-{T}(V1,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #72: disj( #17, #68+#28 ), references = 1, size of lhs = 1:
% 0.47/0.70 pppp1-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #80: disj( #17, #58+#14 ), references = 1, size of lhs = 1:
% 0.47/0.70 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #89: disj( #24, input, input ), references = 1, size of lhs = 4:
% 0.47/0.70 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1), #-{F} V4 | apart_point_and_line-{T}(V4,V0), apart_point_and_line-{T}(V4,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #90: disj( #24, input, input ), references = 1, size of lhs = 4:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #93: disj( #87, input ), references = 1, size of lhs = 5:
% 0.47/0.70 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1), convergent_lines-{F}(V0,V4), P_intersection_point-{F}(V0,V4,V5) | apart_point_and_line-{T}(V5,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #94: disj( #87, input ), references = 1, size of lhs = 4:
% 0.47/0.70 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V4,V5,V0) | apart_point_and_line-{T}(V5,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #99: disj( #17, input ), references = 1, size of lhs = 1:
% 0.47/0.70 pppp0-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #106: disj( #24, input, input ), references = 1, size of lhs = 6:
% 0.47/0.70 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V4,V1), #-{F} V5 | unorthogonal_lines-{T}(V0,V5), unorthogonal_lines-{T}(V1,V5)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #107: disj( #24, input, input ), references = 1, size of lhs = 6:
% 0.47/0.70 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), convergent_lines-{F}(V1,V4), P_intersection_point-{F}(V1,V4,V3), #-{F} V5 | unorthogonal_lines-{T}(V0,V5), unorthogonal_lines-{T}(V1,V5)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #108: disj( #24, input, input ), references = 1, size of lhs = 5:
% 0.47/0.70 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), P_parallel_through_point-{F}(V4,V3,V1), #-{F} V5 | unorthogonal_lines-{T}(V0,V5), unorthogonal_lines-{T}(V1,V5)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #110: disj( #102, input ), references = 1, size of lhs = 6:
% 0.47/0.70 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), P_intersection_point-{F}(V4,V1,V3), convergent_lines-{F}(V4,V1), pppp0-{F}(V0,V5,V6) | unorthogonal_lines-{T}(V1,V6)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #115: exists( #32, #111 ), references = 2, size of lhs = 4:
% 0.47/0.70 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1), pppp1-{F}(V1,V2), pppp0-{F}(V0,V3,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #116: exists( #32, #112 ), references = 1, size of lhs = 4:
% 0.47/0.70 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_orthogonal_through_point-{F}(V3,V4,V1) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #126: exists( #27, #122 ), references = 1, size of lhs = 1:
% 0.47/0.70 pppp1-{F}(V0,V1) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #128: exists( #26, #124 ), references = 1, size of lhs = 1:
% 0.47/0.70 pppp2-{F}(V0) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #130: exists( #25, #127 ), references = 1, size of lhs = 0:
% 0.47/0.70 FALSE | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 number of learnt formulas = 26
% 0.47/0.70
% 0.47/0.70
% 0.47/0.70 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.70
% 0.47/0.70 randbase = 1
%------------------------------------------------------------------------------