%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 1.46s 1.65s
% Output : Refutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 18:09:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.46/1.65 GeoParameters:
% 1.46/1.65
% 1.46/1.65 tptp_input = 1
% 1.46/1.65 tptp_output = 0
% 1.46/1.65 nonempty = 1
% 1.46/1.65 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.65 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.46/1.65
% 1.46/1.65
% 1.46/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.65 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.65
% 1.46/1.65 RuleSystem INPUT:
% 1.46/1.65
% 1.46/1.65 Initial Rules:
% 1.46/1.65 #0: input, references = 4, size of lhs = 1:
% 1.46/1.65 distinct_points-{F}(V0,V0) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #1: input, references = 4, size of lhs = 1:
% 1.46/1.65 distinct_lines-{F}(V0,V0) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #2: input, references = 5, size of lhs = 1:
% 1.46/1.65 convergent_lines-{F}(V0,V0) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #3: input, references = 4, size of lhs = 2:
% 1.46/1.65 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #4: input, references = 3, size of lhs = 2:
% 1.46/1.65 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #5: input, references = 4, size of lhs = 2:
% 1.46/1.65 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #6: input, references = 3, size of lhs = 3:
% 1.46/1.65 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #7: input, references = 3, size of lhs = 3:
% 1.46/1.65 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #8: input, references = 3, size of lhs = 3:
% 1.46/1.65 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #9: input, references = 3, size of lhs = 3:
% 1.46/1.65 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #10: input, references = 4, size of lhs = 2:
% 1.46/1.65 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)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #11: input, references = 4, size of lhs = 2:
% 1.46/1.65 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #12: input, references = 4, size of lhs = 2:
% 1.46/1.65 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #13: input, references = 4, size of lhs = 2:
% 1.46/1.65 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #14: input, references = 4, size of lhs = 1:
% 1.46/1.65 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #15: input, references = 6, size of lhs = 2:
% 1.46/1.65 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #16: input, references = 4, size of lhs = 2:
% 1.46/1.65 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #17: input, references = 3, size of lhs = 2:
% 1.46/1.65 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)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #18: input, references = 7, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #19: input, references = 3, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #20: input, references = 4, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #21: input, references = 3, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #22: input, references = 3, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #23: input, references = 4, size of lhs = 2:
% 1.46/1.65 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #24: input, references = 3, size of lhs = 2:
% 1.46/1.65 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #25: input, references = 3, size of lhs = 3:
% 1.46/1.65 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)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #26: input, references = 3, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #27: input, references = 3, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #28: input, references = 3, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #29: input, references = 3, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #30: input, references = 3, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #31: input, references = 4, size of lhs = 2:
% 1.46/1.65 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #32: input, references = 3, size of lhs = 4:
% 1.46/1.65 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #33: input, references = 3, size of lhs = 4:
% 1.46/1.65 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #34: input, references = 3, size of lhs = 3:
% 1.46/1.65 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #35: input, references = 3, size of lhs = 3:
% 1.46/1.65 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #36: input, references = 6, size of lhs = 2:
% 1.46/1.65 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #37: input, references = 6, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #38: input, references = 4, size of lhs = 2:
% 1.46/1.65 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #39: input, references = 7, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #40: input, references = 6, size of lhs = 2:
% 1.46/1.65 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #41: input, references = 7, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #42: input, references = 3, size of lhs = 2:
% 1.46/1.65 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #43: input, references = 7, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #44: input, references = 4, size of lhs = 2:
% 1.46/1.65 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #45: input, references = 5, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #46: input, references = 4, size of lhs = 0:
% 1.46/1.65 FALSE | EXISTS V0: pppp1-{T}(V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #47: input, references = 4, size of lhs = 1:
% 1.46/1.65 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #48: input, references = 5, size of lhs = 5:
% 1.46/1.65 pppp0-{F}(V0,V1), P_parallel_through_point-{F}(V1,V0,V2), P_orthogonal_through_point-{F}(V1,V0,V3), P_orthogonal_through_point-{F}(V3,V0,V4), equal_lines-{F}(V2,V4) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #49: input, references = 3, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #50: input, references = 3, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #51: input, references = 5, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #52: input, references = 8, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 number of initial rules = 53
% 1.46/1.65
% 1.46/1.65 Simplifiers:
% 1.46/1.65 #53: unsound, references = 3, size of lhs = 3:
% 1.46/1.65 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #54: unsound, references = 3, size of lhs = 3:
% 1.46/1.65 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #55: unsound, references = 3, size of lhs = 3:
% 1.46/1.65 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #56: unsound, references = 3, size of lhs = 3:
% 1.46/1.65 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #57: unsound, references = 3, size of lhs = 3:
% 1.46/1.65 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #58: unsound, references = 3, size of lhs = 3:
% 1.46/1.65 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #59: unsound, references = 3, size of lhs = 3:
% 1.46/1.65 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 number of simplifiers = 7
% 1.46/1.65
% 1.46/1.65 Learnt:
% 1.46/1.65 #61: disj( #37, input ), references = 1, size of lhs = 1:
% 1.46/1.65 #-{F} V0 | equal_points-{T}(V0,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #63: disj( #18, input ), references = 1, size of lhs = 1:
% 1.46/1.65 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #65: disj( #41, input ), references = 1, size of lhs = 1:
% 1.46/1.65 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #67: disj( #18, input ), references = 6, size of lhs = 1:
% 1.46/1.65 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #70: disj( #18, input ), references = 1, size of lhs = 1:
% 1.46/1.65 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #72: disj( #39, input ), references = 1, size of lhs = 1:
% 1.46/1.65 #-{F} V0 | equal_lines-{T}(V0,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #75: disj( #5, input ), references = 10, size of lhs = 1:
% 1.46/1.65 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #76: disj( #5, input ), references = 4, size of lhs = 2:
% 1.46/1.65 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #79: disj( #41, #75+#15 ), references = 2, size of lhs = 1:
% 1.46/1.65 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #81: disj( #18, input ), references = 1, size of lhs = 1:
% 1.46/1.65 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #83: disj( #43, input ), references = 1, size of lhs = 1:
% 1.46/1.65 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #85: disj( #41, input ), references = 2, size of lhs = 1:
% 1.46/1.65 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #88: disj( #39, #14+#40 ), references = 3, size of lhs = 1:
% 1.46/1.65 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #91: disj( #11, input ), references = 2, size of lhs = 2:
% 1.46/1.65 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #92: disj( #11, input ), references = 1, size of lhs = 2:
% 1.46/1.65 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | distinct_points-{T}(V0,V3)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #95: disj( #43, #89+#36 ), references = 2, size of lhs = 2:
% 1.46/1.65 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #102: disj( #43, #95+#16 ), references = 1, size of lhs = 2:
% 1.46/1.65 equal_points-{F}(V0,V1), P_parallel_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #103: disj( #43, #91+#36 ), references = 1, size of lhs = 2:
% 1.46/1.65 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #106: disj( #12, input ), references = 1, size of lhs = 2:
% 1.46/1.65 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #107: disj( #12, input ), references = 1, size of lhs = 2:
% 1.46/1.65 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #112: exists( #51, #110 ), references = 2, size of lhs = 1:
% 1.46/1.65 apart_point_and_line-{F}(V0,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #114: disj( #43, exists( #51, #110 ) ), references = 1, size of lhs = 2:
% 1.46/1.65 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #116: disj( #13, input ), references = 1, size of lhs = 2:
% 1.46/1.65 convergent_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #123: disj( #39, #115+#15 ), references = 1, size of lhs = 2:
% 1.46/1.65 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | distinct_lines-{T}(V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #124: disj( #39, #115+#2 ), references = 2, size of lhs = 4:
% 1.46/1.65 convergent_lines-{F}(V0,V1), equal_lines-{F}(V1,V0), #-{F} V2, #-{F} V3 | distinct_lines-{T}(V2,V3)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #125: disj( #39, #115+#40 ), references = 1, size of lhs = 5:
% 1.46/1.65 convergent_lines-{F}(V0,V1), equal_lines-{F}(V1,V2), parallel_lines-{F}(V0,V2), #-{F} V3, #-{F} V4 | distinct_lines-{T}(V3,V4)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #127: disj( #3, input ), references = 1, size of lhs = 2:
% 1.46/1.65 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #132: disj( #37, #126+#0 ), references = 2, size of lhs = 1:
% 1.46/1.65 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #133: disj( #37, #126+#36 ), references = 1, size of lhs = 2:
% 1.46/1.65 distinct_points-{F}(V0,V1), equal_points-{F}(V0,V2) | distinct_points-{T}(V1,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #140: disj( #39, #124+#1 ), references = 1, size of lhs = 1:
% 1.46/1.65 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #153: disj( #10, exists( #51, #110 ), exists( #51, #110 ), exists( #51, #110 ) ), references = 1, size of lhs = 2:
% 1.46/1.65 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #160: disj( #37, #132+#141+#112 ), references = 1, size of lhs = 3:
% 1.46/1.65 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #162: disj( #45, input ), references = 1, size of lhs = 1:
% 1.46/1.65 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #165: disj( #20, input ), references = 1, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #166: disj( #20, input ), references = 1, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #173: disj( #45, #163+#2 ), references = 5, size of lhs = 2:
% 1.46/1.65 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #174: disj( #45, #163+#40 ), references = 4, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | orthogonal_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #175: disj( #45, #163+#15 ), references = 1, size of lhs = 3:
% 1.46/1.65 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V2,V4,V0) | orthogonal_lines-{T}(V0,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #177: disj( #31, input ), references = 3, size of lhs = 2:
% 1.46/1.65 orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #184: disj( #41, #75+#177+#23 ), references = 3, size of lhs = 2:
% 1.46/1.65 orthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V0) | parallel_lines-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #185: disj( #41, #75+#177+#44 ), references = 4, size of lhs = 2:
% 1.46/1.65 orthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V0,V2) | parallel_lines-{T}(V2,V1)
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #192: exists( #52, #190 ), references = 1, size of lhs = 4:
% 1.46/1.65 pppp0-{F}(V0,V1), P_parallel_through_point-{F}(V1,V0,V2), P_orthogonal_through_point-{F}(V1,V0,V3), orthogonal_lines-{F}(V3,V2) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #200: exists( #52, #198 ), references = 1, size of lhs = 5:
% 1.46/1.65 pppp0-{F}(V0,V1), P_parallel_through_point-{F}(V1,V0,V2), parallel_lines-{F}(V1,V2), orthogonal_lines-{F}(V1,V3), P_orthogonal_through_point-{F}(V3,V4,V2) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #213: exists( #52, #211 ), references = 2, size of lhs = 7:
% 1.46/1.65 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V1,V2), P_orthogonal_through_point-{F}(V0,V3,V2), pppp0-{F}(V4,V5), P_orthogonal_through_point-{F}(V5,V4,V2), P_parallel_through_point-{F}(V5,V4,V6), P_orthogonal_through_point-{F}(V6,V7,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #221: exists( #52, #219 ), references = 1, size of lhs = 7:
% 1.46/1.65 pppp0-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V0,V2), P_parallel_through_point-{F}(V1,V0,V3), parallel_lines-{F}(V3,V4), orthogonal_lines-{F}(V4,V2), parallel_lines-{F}(V4,V3), P_orthogonal_through_point-{F}(V4,V5,V2) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #226: exists( #52, #224 ), references = 1, size of lhs = 4:
% 1.46/1.65 pppp0-{F}(V0,V1), P_parallel_through_point-{F}(V1,V0,V2), parallel_lines-{F}(V2,V1), parallel_lines-{F}(V1,V2) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #230: exists( #51, #228 ), references = 1, size of lhs = 1:
% 1.46/1.65 pppp0-{F}(V0,V1) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #232: exists( #47, #229 ), references = 1, size of lhs = 1:
% 1.46/1.65 pppp1-{F}(V0) | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 #234: exists( #46, #231 ), references = 1, size of lhs = 0:
% 1.46/1.65 FALSE | FALSE
% 1.46/1.65 (used 0 times, uses = {})
% 1.46/1.65
% 1.46/1.65 number of learnt formulas = 49
% 1.46/1.65
% 1.46/1.65
% 1.46/1.65 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.65
% 1.46/1.65 randbase = 1
%------------------------------------------------------------------------------