TSTP Solution File: GEO203+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 2.55s 2.74s
% Output : Refutation 2.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 17:41:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.55/2.74 GeoParameters:
% 2.55/2.74
% 2.55/2.74 tptp_input = 1
% 2.55/2.74 tptp_output = 0
% 2.55/2.74 nonempty = 1
% 2.55/2.74 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/2.74 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.55/2.74
% 2.55/2.74
% 2.55/2.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/2.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/2.74
% 2.55/2.74 RuleSystem INPUT:
% 2.55/2.74
% 2.55/2.74 Initial Rules:
% 2.55/2.74 #0: input, references = 4, size of lhs = 1:
% 2.55/2.74 distinct_points-{F}(V0,V0) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #1: input, references = 5, size of lhs = 1:
% 2.55/2.74 distinct_lines-{F}(V0,V0) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #2: input, references = 3, size of lhs = 1:
% 2.55/2.74 convergent_lines-{F}(V0,V0) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #3: input, references = 4, size of lhs = 2:
% 2.55/2.74 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #4: input, references = 4, size of lhs = 2:
% 2.55/2.74 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #5: input, references = 3, size of lhs = 2:
% 2.55/2.74 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #6: input, references = 3, size of lhs = 3:
% 2.55/2.74 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #7: input, references = 3, size of lhs = 3:
% 2.55/2.74 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #8: input, references = 3, size of lhs = 3:
% 2.55/2.74 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #9: input, references = 3, size of lhs = 3:
% 2.55/2.74 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #10: input, references = 4, size of lhs = 2:
% 2.55/2.74 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)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #11: input, references = 4, size of lhs = 2:
% 2.55/2.74 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #12: input, references = 4, size of lhs = 2:
% 2.55/2.74 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #13: input, references = 4, size of lhs = 2:
% 2.55/2.74 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #14: input, references = 5, size of lhs = 1:
% 2.55/2.74 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #15: input, references = 5, size of lhs = 2:
% 2.55/2.74 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #16: input, references = 4, size of lhs = 2:
% 2.55/2.74 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #17: input, references = 3, size of lhs = 2:
% 2.55/2.74 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)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #18: input, references = 7, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #19: input, references = 3, size of lhs = 3:
% 2.55/2.74 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #20: input, references = 4, size of lhs = 3:
% 2.55/2.74 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #21: input, references = 3, size of lhs = 3:
% 2.55/2.74 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #22: input, references = 3, size of lhs = 3:
% 2.55/2.74 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #23: input, references = 5, size of lhs = 2:
% 2.55/2.74 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #24: input, references = 3, size of lhs = 2:
% 2.55/2.74 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #25: input, references = 3, size of lhs = 3:
% 2.55/2.74 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)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #26: input, references = 3, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #27: input, references = 3, size of lhs = 3:
% 2.55/2.74 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #28: input, references = 3, size of lhs = 3:
% 2.55/2.74 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #29: input, references = 3, size of lhs = 3:
% 2.55/2.74 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #30: input, references = 3, size of lhs = 3:
% 2.55/2.74 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #31: input, references = 4, size of lhs = 2:
% 2.55/2.74 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #32: input, references = 3, size of lhs = 4:
% 2.55/2.74 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #33: input, references = 3, size of lhs = 4:
% 2.55/2.74 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #34: input, references = 3, size of lhs = 3:
% 2.55/2.74 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #35: input, references = 3, size of lhs = 3:
% 2.55/2.74 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #36: input, references = 5, size of lhs = 2:
% 2.55/2.74 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #37: input, references = 6, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #38: input, references = 6, size of lhs = 2:
% 2.55/2.74 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #39: input, references = 6, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #40: input, references = 5, size of lhs = 2:
% 2.55/2.74 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #41: input, references = 7, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #42: input, references = 4, size of lhs = 2:
% 2.55/2.74 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #43: input, references = 6, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #44: input, references = 5, size of lhs = 2:
% 2.55/2.74 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #45: input, references = 6, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #46: input, references = 4, size of lhs = 0:
% 2.55/2.74 FALSE | EXISTS V0: pppp2-{T}(V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #47: input, references = 4, size of lhs = 1:
% 2.55/2.74 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #48: input, references = 4, size of lhs = 2:
% 2.55/2.74 pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V3,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #49: input, references = 5, size of lhs = 2:
% 2.55/2.74 pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #50: input, references = 3, size of lhs = 4:
% 2.55/2.74 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V2,V4), equal_lines-{F}(V4,V0) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #51: input, references = 4, size of lhs = 3:
% 2.55/2.74 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V2,V4) | distinct_points-{T}(V3,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #52: input, references = 3, size of lhs = 3:
% 2.55/2.74 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_line_connecting-{F}(V3,V2,V4) | convergent_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #53: input, references = 4, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #54: input, references = 6, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #55: input, references = 4, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #56: input, references = 3, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 number of initial rules = 57
% 2.55/2.74
% 2.55/2.74 Simplifiers:
% 2.55/2.74 #57: unsound, references = 3, size of lhs = 3:
% 2.55/2.74 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #58: unsound, references = 3, size of lhs = 3:
% 2.55/2.74 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #59: unsound, references = 3, size of lhs = 3:
% 2.55/2.74 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #60: unsound, references = 3, size of lhs = 3:
% 2.55/2.74 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #61: unsound, references = 3, size of lhs = 3:
% 2.55/2.74 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #62: unsound, references = 3, size of lhs = 3:
% 2.55/2.74 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #63: unsound, references = 3, size of lhs = 3:
% 2.55/2.74 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #64: unsound, references = 3, size of lhs = 3:
% 2.55/2.74 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #65: unsound, references = 3, size of lhs = 3:
% 2.55/2.74 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 number of simplifiers = 9
% 2.55/2.74
% 2.55/2.74 Learnt:
% 2.55/2.74 #67: disj( #37, input ), references = 2, size of lhs = 1:
% 2.55/2.74 #-{F} V0 | equal_points-{T}(V0,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #69: disj( #18, input ), references = 1, size of lhs = 1:
% 2.55/2.74 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #71: disj( #41, input ), references = 1, size of lhs = 1:
% 2.55/2.74 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #73: disj( #18, input ), references = 1, size of lhs = 1:
% 2.55/2.74 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #76: disj( #18, input ), references = 1, size of lhs = 1:
% 2.55/2.74 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #78: disj( #39, input ), references = 1, size of lhs = 1:
% 2.55/2.74 #-{F} V0 | equal_lines-{T}(V0,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #83: exists( #54, #79 ), references = 1, size of lhs = 2:
% 2.55/2.74 pppp1-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #84: exists( #54, #80 ), references = 1, size of lhs = 2:
% 2.55/2.74 pppp1-{F}(V0,V1), parallel_lines-{F}(V0,V1) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #86: disj( #41, input ), references = 1, size of lhs = 1:
% 2.55/2.74 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #88: disj( #43, input ), references = 1, size of lhs = 1:
% 2.55/2.74 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #91: disj( #12, input ), references = 1, size of lhs = 2:
% 2.55/2.74 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #92: disj( #12, input ), references = 1, size of lhs = 2:
% 2.55/2.74 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #97: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 2.55/2.74 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #98: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 2.55/2.74 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #100: disj( #11, input ), references = 3, size of lhs = 2:
% 2.55/2.74 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #105: disj( #43, #100+#16 ), references = 1, size of lhs = 2:
% 2.55/2.74 equal_points-{F}(V0,V1), P_parallel_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #106: disj( #43, #100+#42 ), references = 1, size of lhs = 2:
% 2.55/2.74 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #108: disj( #4, input ), references = 3, size of lhs = 2:
% 2.55/2.74 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #117: exists( #55, #113 ), references = 2, size of lhs = 1:
% 2.55/2.74 apart_point_and_line-{F}(V0,V1) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #120: disj( #43, exists( #55, #113 ) ), references = 1, size of lhs = 2:
% 2.55/2.74 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #123: disj( #13, input ), references = 4, size of lhs = 1:
% 2.55/2.74 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #124: disj( #13, input ), references = 1, size of lhs = 2:
% 2.55/2.74 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #129: disj( #39, #108+#1 ), references = 1, size of lhs = 1:
% 2.55/2.74 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #130: disj( #39, #108+#38 ), references = 1, size of lhs = 2:
% 2.55/2.74 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #133: disj( #18, #123+#38 ), references = 1, size of lhs = 1:
% 2.55/2.74 equal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #135: disj( #41, exists( #54, #80 ) ), references = 2, size of lhs = 1:
% 2.55/2.74 pppp1-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #137: disj( #45, input ), references = 1, size of lhs = 1:
% 2.55/2.74 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #139: disj( #3, input ), references = 1, size of lhs = 2:
% 2.55/2.74 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #144: disj( #37, #138+#0 ), references = 2, size of lhs = 1:
% 2.55/2.74 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #145: disj( #37, #138+#36 ), references = 2, size of lhs = 2:
% 2.55/2.74 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #149: disj( #20, input ), references = 3, size of lhs = 2:
% 2.55/2.74 unorthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #150: disj( #20, input ), references = 3, size of lhs = 3:
% 2.55/2.74 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | unorthogonal_lines-{T}(V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #151: disj( #20, input ), references = 1, size of lhs = 3:
% 2.55/2.74 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unorthogonal_lines-{T}(V1,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #156: disj( #45, #146+#23 ), references = 1, size of lhs = 2:
% 2.55/2.74 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #157: disj( #45, #146+#44 ), references = 1, size of lhs = 2:
% 2.55/2.74 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V0) | orthogonal_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #176: disj( #10, exists( #55, #113 ), exists( #55, #113 ), exists( #55, #113 ) ), references = 1, size of lhs = 2:
% 2.55/2.74 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #183: disj( #37, #158+#117 ), references = 2, size of lhs = 3:
% 2.55/2.74 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #186: disj( #41, #123+#38 ), references = 1, size of lhs = 1:
% 2.55/2.74 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #193: disj( #45, #149+#150+#23 ), references = 1, size of lhs = 4:
% 2.55/2.74 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | orthogonal_lines-{T}(V1,V0)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #194: disj( #45, #149+#150+#44 ), references = 1, size of lhs = 4:
% 2.55/2.74 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), parallel_lines-{F}(V1,V2), orthogonal_lines-{F}(V0,V2) | orthogonal_lines-{T}(V0,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #199: disj( #31, input ), references = 1, size of lhs = 2:
% 2.55/2.74 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V3) | unorthogonal_lines-{T}(V3,V1)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #200: disj( #31, input ), references = 1, size of lhs = 2:
% 2.55/2.74 orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #212: exists( #53, #210 ), references = 2, size of lhs = 3:
% 2.55/2.74 equal_points-{F}(V0,V1), pppp0-{F}(V2,V3,V1), P_intersection_point-{F}(V2,V3,V0) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #217: exists( #54, #215 ), references = 1, size of lhs = 3:
% 2.55/2.74 distinct_lines-{F}(V0,V1), equal_points-{F}(V2,V3), pppp0-{F}(V4,V5,V2) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #219: exists( #48, #216 ), references = 2, size of lhs = 4:
% 2.55/2.74 pppp1-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), equal_points-{F}(V2,V3), distinct_lines-{F}(V4,V5) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #222: exists( #54, #220 ), references = 1, size of lhs = 2:
% 2.55/2.74 pppp1-{F}(V0,V1), distinct_lines-{F}(V2,V3) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #226: exists( #47, #224 ), references = 1, size of lhs = 1:
% 2.55/2.74 pppp2-{F}(V0) | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 #228: exists( #46, #225 ), references = 1, size of lhs = 0:
% 2.55/2.74 FALSE | FALSE
% 2.55/2.74 (used 0 times, uses = {})
% 2.55/2.74
% 2.55/2.74 number of learnt formulas = 48
% 2.55/2.74
% 2.55/2.74
% 2.55/2.74 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/2.74
% 2.55/2.74 randbase = 1
%------------------------------------------------------------------------------