%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO221+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:02:10 EDT 2022
% Result : Theorem 2.50s 2.67s
% Output : Refutation 2.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO221+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 18:22:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.50/2.67 GeoParameters:
% 2.50/2.67
% 2.50/2.67 tptp_input = 1
% 2.50/2.67 tptp_output = 0
% 2.50/2.67 nonempty = 1
% 2.50/2.67 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/2.67 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.50/2.67
% 2.50/2.67
% 2.50/2.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/2.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/2.67
% 2.50/2.67 RuleSystem INPUT:
% 2.50/2.67
% 2.50/2.67 Initial Rules:
% 2.50/2.67 #0: input, references = 4, size of lhs = 1:
% 2.50/2.67 distinct_points-{F}(V0,V0) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #1: input, references = 4, size of lhs = 1:
% 2.50/2.67 distinct_lines-{F}(V0,V0) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #2: input, references = 6, size of lhs = 1:
% 2.50/2.67 convergent_lines-{F}(V0,V0) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #3: input, references = 4, size of lhs = 2:
% 2.50/2.67 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #4: input, references = 3, size of lhs = 2:
% 2.50/2.67 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #5: input, references = 4, size of lhs = 2:
% 2.50/2.67 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #6: input, references = 3, size of lhs = 3:
% 2.50/2.67 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #7: input, references = 3, size of lhs = 3:
% 2.50/2.67 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #8: input, references = 3, size of lhs = 3:
% 2.50/2.67 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #9: input, references = 3, size of lhs = 3:
% 2.50/2.67 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #10: input, references = 4, size of lhs = 2:
% 2.50/2.67 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)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #11: input, references = 4, size of lhs = 2:
% 2.50/2.67 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #12: input, references = 4, size of lhs = 2:
% 2.50/2.67 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #13: input, references = 4, size of lhs = 2:
% 2.50/2.67 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #14: input, references = 7, size of lhs = 1:
% 2.50/2.67 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #15: input, references = 7, size of lhs = 2:
% 2.50/2.67 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #16: input, references = 4, size of lhs = 2:
% 2.50/2.67 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #17: input, references = 3, size of lhs = 2:
% 2.50/2.67 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)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #18: input, references = 7, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #19: input, references = 3, size of lhs = 3:
% 2.50/2.67 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #20: input, references = 4, size of lhs = 3:
% 2.50/2.67 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #21: input, references = 3, size of lhs = 3:
% 2.50/2.67 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #22: input, references = 3, size of lhs = 3:
% 2.50/2.67 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #23: input, references = 5, size of lhs = 2:
% 2.50/2.67 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #24: input, references = 3, size of lhs = 2:
% 2.50/2.67 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #25: input, references = 3, size of lhs = 3:
% 2.50/2.67 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)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #26: input, references = 3, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #27: input, references = 3, size of lhs = 3:
% 2.50/2.67 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #28: input, references = 3, size of lhs = 3:
% 2.50/2.67 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #29: input, references = 3, size of lhs = 3:
% 2.50/2.67 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #30: input, references = 3, size of lhs = 3:
% 2.50/2.67 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #31: input, references = 4, size of lhs = 2:
% 2.50/2.67 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #32: input, references = 3, size of lhs = 4:
% 2.50/2.67 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #33: input, references = 3, size of lhs = 4:
% 2.50/2.67 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #34: input, references = 3, size of lhs = 3:
% 2.50/2.67 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #35: input, references = 3, size of lhs = 3:
% 2.50/2.67 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #36: input, references = 6, size of lhs = 2:
% 2.50/2.67 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #37: input, references = 6, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #38: input, references = 5, size of lhs = 2:
% 2.50/2.67 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #39: input, references = 8, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #40: input, references = 8, size of lhs = 2:
% 2.50/2.67 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #41: input, references = 7, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #42: input, references = 3, size of lhs = 2:
% 2.50/2.67 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #43: input, references = 7, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #44: input, references = 3, size of lhs = 2:
% 2.50/2.67 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #45: input, references = 7, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #46: input, references = 4, size of lhs = 0:
% 2.50/2.67 FALSE | EXISTS V0: pppp2-{T}(V0)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #47: input, references = 4, size of lhs = 1:
% 2.50/2.67 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #48: input, references = 5, size of lhs = 1:
% 2.50/2.67 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #49: input, references = 5, size of lhs = 4:
% 2.50/2.67 pppp0-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V3), P_orthogonal_through_point-{F}(V0,V2,V4), equal_lines-{F}(V3,V4) | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #50: input, references = 3, size of lhs = 3:
% 2.50/2.67 pppp0-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V3), P_orthogonal_through_point-{F}(V0,V2,V4) | incident_point_and_line-{T}(V2,V3)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #51: input, references = 3, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #52: input, references = 3, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #53: input, references = 4, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #54: input, references = 7, size of lhs = 2:
% 2.50/2.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 number of initial rules = 55
% 2.50/2.67
% 2.50/2.67 Simplifiers:
% 2.50/2.67 #55: unsound, references = 3, size of lhs = 3:
% 2.50/2.67 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #56: unsound, references = 3, size of lhs = 3:
% 2.50/2.67 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #57: unsound, references = 3, size of lhs = 3:
% 2.50/2.67 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #58: unsound, references = 3, size of lhs = 3:
% 2.50/2.67 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #59: unsound, references = 3, size of lhs = 3:
% 2.50/2.67 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #60: unsound, references = 3, size of lhs = 3:
% 2.50/2.67 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #61: unsound, references = 3, size of lhs = 3:
% 2.50/2.67 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #62: unsound, references = 3, size of lhs = 3:
% 2.50/2.67 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #63: unsound, references = 3, size of lhs = 3:
% 2.50/2.67 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #64: unsound, references = 3, size of lhs = 3:
% 2.50/2.67 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 number of simplifiers = 10
% 2.50/2.67
% 2.50/2.67 Learnt:
% 2.50/2.67 #66: disj( #37, input ), references = 1, size of lhs = 1:
% 2.50/2.67 #-{F} V0 | equal_points-{T}(V0,V0)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #68: disj( #18, input ), references = 1, size of lhs = 1:
% 2.50/2.67 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #70: disj( #41, input ), references = 1, size of lhs = 1:
% 2.50/2.67 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #72: disj( #18, input ), references = 4, size of lhs = 1:
% 2.50/2.67 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #75: disj( #18, input ), references = 1, size of lhs = 1:
% 2.50/2.67 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #77: disj( #39, input ), references = 2, size of lhs = 1:
% 2.50/2.67 #-{F} V0 | equal_lines-{T}(V0,V0)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #80: disj( #5, input ), references = 8, size of lhs = 1:
% 2.50/2.67 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #81: disj( #5, input ), references = 1, size of lhs = 2:
% 2.50/2.67 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #84: disj( #41, #80+#15 ), references = 1, size of lhs = 1:
% 2.50/2.67 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #86: disj( #18, input ), references = 1, size of lhs = 1:
% 2.50/2.67 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #88: disj( #43, input ), references = 1, size of lhs = 1:
% 2.50/2.67 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.67
% 2.50/2.67 #90: disj( #41, input ), references = 1, size of lhs = 1:
% 2.50/2.67 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 2.50/2.67 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #93: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 2.50/2.68 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #96: disj( #11, input ), references = 2, size of lhs = 2:
% 2.50/2.68 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #97: disj( #11, input ), references = 1, size of lhs = 2:
% 2.50/2.68 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | distinct_points-{T}(V0,V3)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #100: disj( #43, #94+#36 ), references = 2, size of lhs = 2:
% 2.50/2.68 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #107: disj( #43, #100+#16 ), references = 1, size of lhs = 2:
% 2.50/2.68 equal_points-{F}(V0,V1), P_parallel_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #108: disj( #43, #96+#36 ), references = 1, size of lhs = 2:
% 2.50/2.68 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #111: disj( #12, input ), references = 1, size of lhs = 2:
% 2.50/2.68 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #112: disj( #12, input ), references = 1, size of lhs = 2:
% 2.50/2.68 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #117: exists( #53, #115 ), references = 2, size of lhs = 1:
% 2.50/2.68 apart_point_and_line-{F}(V0,V1) | FALSE
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #119: disj( #43, exists( #53, #115 ) ), references = 1, size of lhs = 2:
% 2.50/2.68 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #121: disj( #13, input ), references = 1, size of lhs = 2:
% 2.50/2.68 convergent_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #128: disj( #39, #120+#15 ), references = 1, size of lhs = 2:
% 2.50/2.68 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | distinct_lines-{T}(V1,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #129: disj( #39, #120+#2 ), references = 2, size of lhs = 4:
% 2.50/2.68 convergent_lines-{F}(V0,V1), equal_lines-{F}(V1,V0), #-{F} V2, #-{F} V3 | distinct_lines-{T}(V2,V3)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #130: disj( #39, #120+#40 ), references = 1, size of lhs = 5:
% 2.50/2.68 convergent_lines-{F}(V0,V1), equal_lines-{F}(V1,V2), parallel_lines-{F}(V0,V2), #-{F} V3, #-{F} V4 | distinct_lines-{T}(V3,V4)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #132: disj( #3, input ), references = 1, size of lhs = 2:
% 2.50/2.68 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #137: disj( #37, #131+#0 ), references = 2, size of lhs = 1:
% 2.50/2.68 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #138: disj( #37, #131+#36 ), references = 1, size of lhs = 2:
% 2.50/2.68 distinct_points-{F}(V0,V1), equal_points-{F}(V0,V2) | distinct_points-{T}(V1,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #145: disj( #39, #129+#1 ), references = 2, size of lhs = 1:
% 2.50/2.68 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #158: disj( #10, exists( #53, #115 ), exists( #53, #115 ), exists( #53, #115 ) ), references = 1, size of lhs = 2:
% 2.50/2.68 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #165: disj( #37, #137+#146+#117 ), references = 1, size of lhs = 3:
% 2.50/2.68 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #167: disj( #45, input ), references = 3, size of lhs = 1:
% 2.50/2.68 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #170: exists( #54, #168 ), references = 1, size of lhs = 1:
% 2.50/2.68 pppp0-{F}(V0,V1,V1) | FALSE
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #172: exists( #48, #169 ), references = 1, size of lhs = 1:
% 2.50/2.68 pppp1-{F}(V0,V0) | FALSE
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #175: disj( #31, input ), references = 4, size of lhs = 2:
% 2.50/2.68 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V2,V1) | unorthogonal_lines-{T}(V2,V0)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #176: disj( #31, input ), references = 1, size of lhs = 2:
% 2.50/2.68 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V2,V3) | unorthogonal_lines-{T}(V3,V0)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #179: disj( #20, input ), references = 5, size of lhs = 3:
% 2.50/2.68 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #180: disj( #20, input ), references = 1, size of lhs = 3:
% 2.50/2.68 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #187: disj( #45, #177+#2 ), references = 3, size of lhs = 2:
% 2.50/2.68 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #188: disj( #45, #177+#40 ), references = 1, size of lhs = 3:
% 2.50/2.68 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | unorthogonal_lines-{T}(V1,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #189: disj( #45, #177+#15 ), references = 1, size of lhs = 3:
% 2.50/2.68 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unorthogonal_lines-{T}(V1,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #199: disj( #45, #184+#179+#15 ), references = 1, size of lhs = 4:
% 2.50/2.68 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), orthogonal_lines-{F}(V0,V2), P_parallel_through_point-{F}(V2,V3,V1) | orthogonal_lines-{T}(V0,V1)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #200: disj( #45, #184+#179+#40 ), references = 2, size of lhs = 4:
% 2.50/2.68 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), orthogonal_lines-{F}(V0,V2), parallel_lines-{F}(V1,V2) | orthogonal_lines-{T}(V0,V1)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #203: disj( #41, #145+#38 ), references = 2, size of lhs = 1:
% 2.50/2.68 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #219: disj( #39, #14+#80+#175+#179+#2 ), references = 3, size of lhs = 3:
% 2.50/2.68 orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), orthogonal_lines-{F}(V1,V2) | equal_lines-{T}(V2,V0)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #220: disj( #39, #14+#80+#175+#187+#23 ), references = 1, size of lhs = 3:
% 2.50/2.68 orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V0,V3,V2) | equal_lines-{T}(V1,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #221: disj( #39, #14+#80+#175+#179+#40 ), references = 1, size of lhs = 4:
% 2.50/2.68 orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), orthogonal_lines-{F}(V2,V3), parallel_lines-{F}(V0,V3) | equal_lines-{T}(V1,V2)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #227: exists( #54, #225 ), references = 2, size of lhs = 3:
% 2.50/2.68 orthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1), pppp0-{F}(V0,V2,V3) | FALSE
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #235: exists( #54, #233 ), references = 1, size of lhs = 2:
% 2.50/2.68 orthogonal_lines-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | FALSE
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #238: disj( #45, exists( #54, #233 ) ), references = 2, size of lhs = 2:
% 2.50/2.68 pppp0-{F}(V0,V1,V2), #-{F} V3 | unorthogonal_lines-{T}(V0,V3)
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #287: exists( #54, #283 ), references = 1, size of lhs = 1:
% 2.50/2.68 pppp0-{F}(V0,V1,V2) | FALSE
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #290: exists( #48, #285 ), references = 1, size of lhs = 1:
% 2.50/2.68 pppp1-{F}(V0,V1) | FALSE
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #293: exists( #47, #288 ), references = 1, size of lhs = 1:
% 2.50/2.68 pppp2-{F}(V0) | FALSE
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 #296: exists( #46, #291 ), references = 1, size of lhs = 0:
% 2.50/2.68 FALSE | FALSE
% 2.50/2.68 (used 0 times, uses = {})
% 2.50/2.68
% 2.50/2.68 number of learnt formulas = 55
% 2.50/2.68
% 2.50/2.68
% 2.50/2.68 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/2.68
% 2.50/2.68 randbase = 1
%------------------------------------------------------------------------------