TSTP Solution File: GEO202+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO202+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:02:03 EDT 2022
% Result : Theorem 0.88s 1.07s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO202+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 17:29:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.88/1.07 GeoParameters:
% 0.88/1.07
% 0.88/1.07 tptp_input = 1
% 0.88/1.07 tptp_output = 0
% 0.88/1.07 nonempty = 1
% 0.88/1.07 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.07 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.88/1.07
% 0.88/1.07
% 0.88/1.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.07
% 0.88/1.07 RuleSystem INPUT:
% 0.88/1.07
% 0.88/1.07 Initial Rules:
% 0.88/1.07 #0: input, references = 5, size of lhs = 1:
% 0.88/1.07 distinct_points-{F}(V0,V0) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #1: input, references = 4, size of lhs = 1:
% 0.88/1.07 distinct_lines-{F}(V0,V0) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #2: input, references = 3, size of lhs = 1:
% 0.88/1.07 convergent_lines-{F}(V0,V0) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #3: input, references = 4, size of lhs = 2:
% 0.88/1.07 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #4: input, references = 4, size of lhs = 2:
% 0.88/1.07 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #5: input, references = 4, size of lhs = 2:
% 0.88/1.07 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #6: input, references = 3, size of lhs = 3:
% 0.88/1.07 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #7: input, references = 3, size of lhs = 3:
% 0.88/1.07 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #8: input, references = 3, size of lhs = 3:
% 0.88/1.07 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #9: input, references = 3, size of lhs = 3:
% 0.88/1.07 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #10: input, references = 4, size of lhs = 2:
% 0.88/1.07 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)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #11: input, references = 3, size of lhs = 2:
% 0.88/1.07 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #12: input, references = 4, size of lhs = 2:
% 0.88/1.07 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #13: input, references = 4, size of lhs = 2:
% 0.88/1.07 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #14: input, references = 5, size of lhs = 1:
% 0.88/1.07 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #15: input, references = 5, size of lhs = 2:
% 0.88/1.07 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #16: input, references = 3, size of lhs = 2:
% 0.88/1.07 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #17: input, references = 3, size of lhs = 2:
% 0.88/1.07 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)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #18: input, references = 7, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #19: input, references = 3, size of lhs = 3:
% 0.88/1.07 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #20: input, references = 3, size of lhs = 3:
% 0.88/1.07 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #21: input, references = 3, size of lhs = 3:
% 0.88/1.07 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #22: input, references = 3, size of lhs = 3:
% 0.88/1.07 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #23: input, references = 3, size of lhs = 2:
% 0.88/1.07 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #24: input, references = 3, size of lhs = 2:
% 0.88/1.07 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #25: input, references = 3, size of lhs = 3:
% 0.88/1.07 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)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #26: input, references = 3, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #27: input, references = 3, size of lhs = 3:
% 0.88/1.07 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #28: input, references = 3, size of lhs = 3:
% 0.88/1.07 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #29: input, references = 3, size of lhs = 3:
% 0.88/1.07 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #30: input, references = 3, size of lhs = 3:
% 0.88/1.07 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #31: input, references = 3, size of lhs = 2:
% 0.88/1.07 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #32: input, references = 3, size of lhs = 4:
% 0.88/1.07 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #33: input, references = 3, size of lhs = 4:
% 0.88/1.07 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #34: input, references = 3, size of lhs = 3:
% 0.88/1.07 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #35: input, references = 3, size of lhs = 3:
% 0.88/1.07 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #36: input, references = 5, size of lhs = 2:
% 0.88/1.07 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #37: input, references = 7, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #38: input, references = 4, size of lhs = 2:
% 0.88/1.07 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #39: input, references = 5, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #40: input, references = 5, size of lhs = 2:
% 0.88/1.07 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #41: input, references = 6, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #42: input, references = 3, size of lhs = 2:
% 0.88/1.07 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #43: input, references = 6, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #44: input, references = 3, size of lhs = 2:
% 0.88/1.07 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #45: input, references = 4, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #46: input, references = 4, size of lhs = 0:
% 0.88/1.07 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #47: input, references = 4, size of lhs = 1:
% 0.88/1.07 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #48: input, references = 3, size of lhs = 2:
% 0.88/1.07 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V3,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #49: input, references = 4, size of lhs = 2:
% 0.88/1.07 pppp1-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | distinct_points-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #50: input, references = 3, size of lhs = 4:
% 0.88/1.07 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_intersection_point-{F}(V3,V2,V4), equal_points-{F}(V4,V0) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #51: input, references = 3, size of lhs = 3:
% 0.88/1.07 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_intersection_point-{F}(V3,V2,V4) | convergent_lines-{T}(V3,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #52: input, references = 3, size of lhs = 3:
% 0.88/1.07 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_intersection_point-{F}(V3,V2,V4) | distinct_points-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #53: input, references = 4, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #54: input, references = 3, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #55: input, references = 4, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #56: input, references = 4, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 number of initial rules = 57
% 0.88/1.07
% 0.88/1.07 Simplifiers:
% 0.88/1.07 #57: unsound, references = 3, size of lhs = 3:
% 0.88/1.07 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #58: unsound, references = 3, size of lhs = 3:
% 0.88/1.07 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #59: unsound, references = 3, size of lhs = 3:
% 0.88/1.07 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #60: unsound, references = 3, size of lhs = 3:
% 0.88/1.07 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #61: unsound, references = 3, size of lhs = 3:
% 0.88/1.07 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #62: unsound, references = 3, size of lhs = 3:
% 0.88/1.07 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #63: unsound, references = 3, size of lhs = 3:
% 0.88/1.07 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #64: unsound, references = 3, size of lhs = 3:
% 0.88/1.07 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #65: unsound, references = 3, size of lhs = 3:
% 0.88/1.07 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 number of simplifiers = 9
% 0.88/1.07
% 0.88/1.07 Learnt:
% 0.88/1.07 #67: disj( #37, input ), references = 1, size of lhs = 1:
% 0.88/1.07 #-{F} V0 | equal_points-{T}(V0,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #69: disj( #18, input ), references = 1, size of lhs = 1:
% 0.88/1.07 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #71: disj( #41, input ), references = 1, size of lhs = 1:
% 0.88/1.07 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #73: disj( #18, input ), references = 2, size of lhs = 1:
% 0.88/1.07 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #76: disj( #18, input ), references = 1, size of lhs = 1:
% 0.88/1.07 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #78: disj( #39, input ), references = 1, size of lhs = 1:
% 0.88/1.07 #-{F} V0 | equal_lines-{T}(V0,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #81: exists( #53, #79 ), references = 1, size of lhs = 2:
% 0.88/1.07 pppp1-{F}(V0,V1), equal_points-{F}(V0,V1) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #83: disj( #37, exists( #53, #79 ) ), references = 2, size of lhs = 1:
% 0.88/1.07 pppp1-{F}(V0,V1) | distinct_points-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #85: disj( #43, input ), references = 1, size of lhs = 1:
% 0.88/1.07 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #87: disj( #41, input ), references = 1, size of lhs = 1:
% 0.88/1.07 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #91: disj( #12, input ), references = 1, size of lhs = 2:
% 0.88/1.07 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #92: disj( #12, input ), references = 2, size of lhs = 2:
% 0.88/1.07 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #93: disj( #12, input ), references = 1, size of lhs = 3:
% 0.88/1.07 distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #98: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 0.88/1.07 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #99: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 0.88/1.07 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #102: disj( #43, #92+#38 ), references = 1, size of lhs = 2:
% 0.88/1.07 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #104: disj( #4, input ), references = 1, size of lhs = 2:
% 0.88/1.07 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #113: exists( #55, #109 ), references = 2, size of lhs = 1:
% 0.88/1.07 apart_point_and_line-{F}(V0,V1) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #116: disj( #43, exists( #55, #109 ) ), references = 1, size of lhs = 2:
% 0.88/1.07 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #119: disj( #5, input ), references = 3, size of lhs = 1:
% 0.88/1.07 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #120: disj( #5, input ), references = 1, size of lhs = 2:
% 0.88/1.07 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #125: disj( #41, #119+#15 ), references = 1, size of lhs = 1:
% 0.88/1.07 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #126: disj( #41, #119+#40 ), references = 1, size of lhs = 1:
% 0.88/1.07 parallel_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #128: disj( #18, input ), references = 1, size of lhs = 1:
% 0.88/1.07 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #131: disj( #13, input ), references = 1, size of lhs = 1:
% 0.88/1.07 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #132: disj( #13, input ), references = 1, size of lhs = 2:
% 0.88/1.07 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #134: disj( #45, input ), references = 1, size of lhs = 1:
% 0.88/1.07 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #136: disj( #3, input ), references = 4, size of lhs = 2:
% 0.88/1.07 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #141: disj( #37, #136+#0 ), references = 1, size of lhs = 1:
% 0.88/1.07 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #142: disj( #37, #136+#36 ), references = 1, size of lhs = 2:
% 0.88/1.07 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #147: disj( #37, #136+#0 ), references = 1, size of lhs = 1:
% 0.88/1.07 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #160: disj( #10, exists( #55, #109 ), exists( #55, #109 ), exists( #55, #109 ) ), references = 1, size of lhs = 2:
% 0.88/1.07 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #167: exists( #47, #163 ), references = 1, size of lhs = 2:
% 0.88/1.07 pppp2-{F}(V0), distinct_lines-{F}(V1,V2) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #175: exists( #56, #171 ), references = 1, size of lhs = 1:
% 0.88/1.07 pppp2-{F}(V0) | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 #178: exists( #46, #173 ), references = 1, size of lhs = 0:
% 0.88/1.07 FALSE | FALSE
% 0.88/1.07 (used 0 times, uses = {})
% 0.88/1.07
% 0.88/1.07 number of learnt formulas = 35
% 0.88/1.07
% 0.88/1.07
% 0.88/1.07 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.07
% 0.88/1.07 randbase = 1
%------------------------------------------------------------------------------