TSTP Solution File: GEO172+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO172+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:01:51 EDT 2022
% Result : Theorem 6.04s 6.20s
% Output : Refutation 6.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO172+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 17:47:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.04/6.20 GeoParameters:
% 6.04/6.20
% 6.04/6.20 tptp_input = 1
% 6.04/6.20 tptp_output = 0
% 6.04/6.20 nonempty = 1
% 6.04/6.20 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.04/6.20 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.04/6.20
% 6.04/6.20
% 6.04/6.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.04/6.20 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.04/6.20
% 6.04/6.20 RuleSystem INPUT:
% 6.04/6.20
% 6.04/6.20 Initial Rules:
% 6.04/6.20 #0: input, references = 5, size of lhs = 1:
% 6.04/6.20 distinct_points-{F}(V0,V0) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #1: input, references = 5, size of lhs = 1:
% 6.04/6.20 distinct_lines-{F}(V0,V0) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #2: input, references = 5, size of lhs = 1:
% 6.04/6.20 convergent_lines-{F}(V0,V0) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #3: input, references = 4, size of lhs = 2:
% 6.04/6.20 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #4: input, references = 4, size of lhs = 2:
% 6.04/6.20 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #5: input, references = 4, size of lhs = 2:
% 6.04/6.20 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #6: input, references = 3, size of lhs = 3:
% 6.04/6.20 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #7: input, references = 3, size of lhs = 3:
% 6.04/6.20 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #8: input, references = 4, size of lhs = 3:
% 6.04/6.20 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #9: input, references = 4, size of lhs = 3:
% 6.04/6.20 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #10: input, references = 4, size of lhs = 2:
% 6.04/6.20 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)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #11: input, references = 4, size of lhs = 2:
% 6.04/6.20 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #12: input, references = 4, size of lhs = 2:
% 6.04/6.20 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #13: input, references = 4, size of lhs = 2:
% 6.04/6.20 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #14: input, references = 5, size of lhs = 1:
% 6.04/6.20 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #15: input, references = 8, size of lhs = 2:
% 6.04/6.20 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #16: input, references = 4, size of lhs = 2:
% 6.04/6.20 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #17: input, references = 3, size of lhs = 2:
% 6.04/6.20 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)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #18: input, references = 6, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #19: input, references = 3, size of lhs = 3:
% 6.04/6.20 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #20: input, references = 4, size of lhs = 3:
% 6.04/6.20 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #21: input, references = 3, size of lhs = 3:
% 6.04/6.20 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #22: input, references = 3, size of lhs = 3:
% 6.04/6.20 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #23: input, references = 4, size of lhs = 2:
% 6.04/6.20 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #24: input, references = 3, size of lhs = 2:
% 6.04/6.20 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #25: input, references = 3, size of lhs = 3:
% 6.04/6.20 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)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #26: input, references = 3, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #27: input, references = 3, size of lhs = 3:
% 6.04/6.20 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #28: input, references = 3, size of lhs = 3:
% 6.04/6.20 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #29: input, references = 3, size of lhs = 3:
% 6.04/6.20 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #30: input, references = 3, size of lhs = 3:
% 6.04/6.20 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #31: input, references = 4, size of lhs = 2:
% 6.04/6.20 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #32: input, references = 3, size of lhs = 4:
% 6.04/6.20 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #33: input, references = 3, size of lhs = 4:
% 6.04/6.20 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #34: input, references = 3, size of lhs = 3:
% 6.04/6.20 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #35: input, references = 3, size of lhs = 3:
% 6.04/6.20 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #36: input, references = 6, size of lhs = 2:
% 6.04/6.20 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #37: input, references = 8, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #38: input, references = 6, size of lhs = 2:
% 6.04/6.20 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #39: input, references = 6, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #40: input, references = 9, size of lhs = 2:
% 6.04/6.20 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #41: input, references = 6, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #42: input, references = 3, size of lhs = 2:
% 6.04/6.20 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #43: input, references = 8, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #44: input, references = 3, size of lhs = 2:
% 6.04/6.20 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #45: input, references = 7, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #46: input, references = 4, size of lhs = 0:
% 6.04/6.20 FALSE | EXISTS V0: pppp2-{T}(V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #47: input, references = 4, size of lhs = 1:
% 6.04/6.20 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #48: input, references = 4, size of lhs = 1:
% 6.04/6.20 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #49: input, references = 3, size of lhs = 1:
% 6.04/6.20 pppp1-{F}(V0,V1) | incident_point_and_line-{T}(V1,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #50: input, references = 4, size of lhs = 3:
% 6.04/6.20 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), equal_points-{F}(V2,V3) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #51: input, references = 3, size of lhs = 2:
% 6.04/6.20 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3) | incident_point_and_line-{T}(V2,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #52: input, references = 5, size of lhs = 2:
% 6.04/6.20 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3) | convergent_lines-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #53: input, references = 3, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #54: input, references = 5, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #55: input, references = 4, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #56: input, references = 4, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 number of initial rules = 57
% 6.04/6.20
% 6.04/6.20 Simplifiers:
% 6.04/6.20 #57: unsound, references = 3, size of lhs = 3:
% 6.04/6.20 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #58: unsound, references = 3, size of lhs = 3:
% 6.04/6.20 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #59: unsound, references = 3, size of lhs = 3:
% 6.04/6.20 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #60: unsound, references = 3, size of lhs = 3:
% 6.04/6.20 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #61: unsound, references = 3, size of lhs = 3:
% 6.04/6.20 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #62: unsound, references = 3, size of lhs = 3:
% 6.04/6.20 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #63: unsound, references = 3, size of lhs = 3:
% 6.04/6.20 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #64: unsound, references = 3, size of lhs = 3:
% 6.04/6.20 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #65: unsound, references = 3, size of lhs = 3:
% 6.04/6.20 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #66: unsound, references = 3, size of lhs = 3:
% 6.04/6.20 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 number of simplifiers = 10
% 6.04/6.20
% 6.04/6.20 Learnt:
% 6.04/6.20 #68: disj( #37, input ), references = 2, size of lhs = 1:
% 6.04/6.20 #-{F} V0 | equal_points-{T}(V0,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #70: disj( #18, input ), references = 1, size of lhs = 1:
% 6.04/6.20 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #72: disj( #41, input ), references = 1, size of lhs = 1:
% 6.04/6.20 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #74: disj( #18, input ), references = 2, size of lhs = 1:
% 6.04/6.20 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #77: disj( #18, input ), references = 1, size of lhs = 1:
% 6.04/6.20 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #79: disj( #39, input ), references = 1, size of lhs = 1:
% 6.04/6.20 #-{F} V0 | equal_lines-{T}(V0,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #81: disj( #45, input ), references = 1, size of lhs = 1:
% 6.04/6.20 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #83: disj( #11, input ), references = 2, size of lhs = 2:
% 6.04/6.20 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #86: disj( #43, #82+#36 ), references = 4, size of lhs = 2:
% 6.04/6.20 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #91: disj( #37, #86+#8 ), references = 1, size of lhs = 3:
% 6.04/6.20 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3) | distinct_points-{T}(V0,V3)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #92: disj( #37, #86+#9 ), references = 1, size of lhs = 3:
% 6.04/6.20 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V2,V1), P_intersection_point-{F}(V2,V1,V3) | distinct_points-{T}(V0,V3)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #96: disj( #43, input ), references = 1, size of lhs = 1:
% 6.04/6.20 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #97: disj( #43, input ), references = 1, size of lhs = 2:
% 6.04/6.20 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #98: disj( #43, input ), references = 1, size of lhs = 1:
% 6.04/6.20 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #100: disj( #43, input ), references = 1, size of lhs = 2:
% 6.04/6.20 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #102: disj( #41, input ), references = 1, size of lhs = 1:
% 6.04/6.20 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #107: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 6.04/6.20 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #108: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 6.04/6.20 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #111: disj( #3, input ), references = 2, size of lhs = 2:
% 6.04/6.20 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #116: disj( #37, #110+#0 ), references = 3, size of lhs = 1:
% 6.04/6.20 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #117: disj( #37, #110+#36 ), references = 3, size of lhs = 2:
% 6.04/6.20 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #120: disj( #12, input ), references = 1, size of lhs = 2:
% 6.04/6.20 apart_point_and_line-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #121: disj( #12, input ), references = 2, size of lhs = 2:
% 6.04/6.20 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #126: disj( #37, #111+#0 ), references = 1, size of lhs = 1:
% 6.04/6.20 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #133: disj( #43, #86+#16 ), references = 1, size of lhs = 2:
% 6.04/6.20 equal_points-{F}(V0,V1), P_parallel_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #134: disj( #43, #83+#36 ), references = 1, size of lhs = 2:
% 6.04/6.20 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #136: disj( #4, input ), references = 3, size of lhs = 2:
% 6.04/6.20 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #147: exists( #55, #143 ), references = 2, size of lhs = 1:
% 6.04/6.20 apart_point_and_line-{F}(V0,V1) | FALSE
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #150: disj( #43, exists( #55, #143 ) ), references = 1, size of lhs = 2:
% 6.04/6.20 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #153: disj( #5, input ), references = 5, size of lhs = 1:
% 6.04/6.20 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #154: disj( #5, input ), references = 1, size of lhs = 2:
% 6.04/6.20 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #157: disj( #13, input ), references = 3, size of lhs = 1:
% 6.04/6.20 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #158: disj( #13, input ), references = 1, size of lhs = 2:
% 6.04/6.20 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 6.04/6.20 (used 0 times, uses = {})
% 6.04/6.20
% 6.04/6.20 #161: disj( #31, input ), references = 1, size of lhs = 2:
% 6.04/6.20 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V3) | unorthogonal_lines-{T}(V3,V1)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #162: disj( #31, input ), references = 1, size of lhs = 2:
% 6.04/6.21 orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #185: disj( #39, #136+#1 ), references = 1, size of lhs = 1:
% 6.04/6.21 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #186: disj( #39, #136+#38 ), references = 1, size of lhs = 2:
% 6.04/6.21 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #190: disj( #20, input ), references = 6, size of lhs = 3:
% 6.04/6.21 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #197: disj( #45, #189+#2 ), references = 2, size of lhs = 2:
% 6.04/6.21 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #198: disj( #45, #189+#40 ), references = 1, size of lhs = 3:
% 6.04/6.21 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | unorthogonal_lines-{T}(V1,V2)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #199: disj( #45, #189+#15 ), references = 1, size of lhs = 3:
% 6.04/6.21 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unorthogonal_lines-{T}(V1,V2)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #209: disj( #45, #190+#153+#15 ), references = 1, size of lhs = 3:
% 6.04/6.21 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V0,V2,V3) | unorthogonal_lines-{T}(V1,V3)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #210: disj( #45, #190+#157+#38 ), references = 1, size of lhs = 3:
% 6.04/6.21 equal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), unorthogonal_lines-{F}(V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #211: disj( #45, #190+#153+#40 ), references = 1, size of lhs = 3:
% 6.04/6.21 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), unorthogonal_lines-{F}(V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #226: disj( #45, #190+#2 ), references = 1, size of lhs = 2:
% 6.04/6.21 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V0) | orthogonal_lines-{T}(V0,V1)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #227: disj( #45, #197+#23 ), references = 1, size of lhs = 2:
% 6.04/6.21 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #228: disj( #45, #190+#40 ), references = 1, size of lhs = 3:
% 6.04/6.21 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2), parallel_lines-{F}(V0,V2) | orthogonal_lines-{T}(V0,V1)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #233: exists( #54, #229 ), references = 1, size of lhs = 2:
% 6.04/6.21 P_parallel_through_point-{F}(V0,V1,V2), pppp0-{F}(V2,V0,V3) | FALSE
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #234: exists( #54, #230 ), references = 1, size of lhs = 2:
% 6.04/6.21 parallel_lines-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | FALSE
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #241: disj( #41, #153+#15 ), references = 1, size of lhs = 1:
% 6.04/6.21 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #242: disj( #41, #157+#38 ), references = 1, size of lhs = 1:
% 6.04/6.21 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #243: disj( #41, #153+#40 ), references = 1, size of lhs = 1:
% 6.04/6.21 parallel_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #271: disj( #10, exists( #55, #143 ), exists( #55, #143 ), exists( #55, #143 ) ), references = 1, size of lhs = 2:
% 6.04/6.21 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #278: disj( #37, #244+#147 ), references = 2, size of lhs = 3:
% 6.04/6.21 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #285: exists( #54, #283 ), references = 1, size of lhs = 4:
% 6.04/6.21 distinct_lines-{F}(V0,V1), equal_points-{F}(V2,V3), equal_points-{F}(V4,V2), pppp0-{F}(V5,V6,V4) | FALSE
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #287: exists( #48, #284 ), references = 2, size of lhs = 4:
% 6.04/6.21 pppp1-{F}(V0,V1), equal_points-{F}(V1,V2), equal_points-{F}(V2,V3), distinct_lines-{F}(V4,V5) | FALSE
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #290: exists( #47, #288 ), references = 1, size of lhs = 2:
% 6.04/6.21 pppp2-{F}(V0), distinct_lines-{F}(V1,V2) | FALSE
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #294: exists( #56, #292 ), references = 1, size of lhs = 1:
% 6.04/6.21 pppp2-{F}(V0) | FALSE
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 #296: exists( #46, #293 ), references = 1, size of lhs = 0:
% 6.04/6.21 FALSE | FALSE
% 6.04/6.21 (used 0 times, uses = {})
% 6.04/6.21
% 6.04/6.21 number of learnt formulas = 59
% 6.04/6.21
% 6.04/6.21
% 6.04/6.21 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.04/6.21
% 6.04/6.21 randbase = 1
%------------------------------------------------------------------------------