TSTP Solution File: GEO204+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO204+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 1.38s 1.62s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO204+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 18:37:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.38/1.62 GeoParameters:
% 1.38/1.62
% 1.38/1.62 tptp_input = 1
% 1.38/1.62 tptp_output = 0
% 1.38/1.62 nonempty = 1
% 1.38/1.62 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.62 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.38/1.62
% 1.38/1.62
% 1.38/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.62
% 1.38/1.62 RuleSystem INPUT:
% 1.38/1.62
% 1.38/1.62 Initial Rules:
% 1.38/1.62 #0: input, references = 5, size of lhs = 1:
% 1.38/1.62 distinct_points-{F}(V0,V0) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #1: input, references = 5, size of lhs = 1:
% 1.38/1.62 distinct_lines-{F}(V0,V0) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #2: input, references = 3, size of lhs = 1:
% 1.38/1.62 convergent_lines-{F}(V0,V0) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #3: input, references = 4, size of lhs = 2:
% 1.38/1.62 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #4: input, references = 4, size of lhs = 2:
% 1.38/1.62 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #5: input, references = 3, size of lhs = 2:
% 1.38/1.62 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #6: input, references = 4, size of lhs = 3:
% 1.38/1.62 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #7: input, references = 3, size of lhs = 3:
% 1.38/1.62 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #8: input, references = 3, size of lhs = 3:
% 1.38/1.62 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #9: input, references = 3, size of lhs = 3:
% 1.38/1.62 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #10: input, references = 4, size of lhs = 2:
% 1.38/1.62 distinct_lines-{F}(V0,V1), distinct_points-{F}(V3,V2) | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V3,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #11: input, references = 4, size of lhs = 2:
% 1.38/1.62 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #12: input, references = 4, size of lhs = 2:
% 1.38/1.62 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #13: input, references = 4, size of lhs = 2:
% 1.38/1.62 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #14: input, references = 5, size of lhs = 1:
% 1.38/1.62 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #15: input, references = 4, size of lhs = 2:
% 1.38/1.62 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #16: input, references = 4, size of lhs = 2:
% 1.38/1.62 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #17: input, references = 3, size of lhs = 2:
% 1.38/1.62 distinct_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #18: input, references = 7, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #19: input, references = 3, size of lhs = 3:
% 1.38/1.62 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #20: input, references = 4, size of lhs = 3:
% 1.38/1.62 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #21: input, references = 3, size of lhs = 3:
% 1.38/1.62 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #22: input, references = 3, size of lhs = 3:
% 1.38/1.62 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #23: input, references = 4, size of lhs = 2:
% 1.38/1.62 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #24: input, references = 3, size of lhs = 2:
% 1.38/1.62 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #25: input, references = 3, size of lhs = 3:
% 1.38/1.62 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), unorthogonal_lines-{T}(V0,V3), unorthogonal_lines-{T}(V1,V3)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #26: input, references = 3, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #27: input, references = 3, size of lhs = 3:
% 1.38/1.62 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #28: input, references = 3, size of lhs = 3:
% 1.38/1.62 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #29: input, references = 3, size of lhs = 3:
% 1.38/1.62 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #30: input, references = 3, size of lhs = 3:
% 1.38/1.62 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #31: input, references = 3, size of lhs = 2:
% 1.38/1.62 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #32: input, references = 3, size of lhs = 4:
% 1.38/1.62 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #33: input, references = 3, size of lhs = 4:
% 1.38/1.62 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #34: input, references = 3, size of lhs = 3:
% 1.38/1.62 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #35: input, references = 3, size of lhs = 3:
% 1.38/1.62 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #36: input, references = 10, size of lhs = 2:
% 1.38/1.62 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #37: input, references = 7, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #38: input, references = 6, size of lhs = 2:
% 1.38/1.62 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #39: input, references = 7, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #40: input, references = 4, size of lhs = 2:
% 1.38/1.62 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #41: input, references = 6, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #42: input, references = 4, size of lhs = 2:
% 1.38/1.62 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #43: input, references = 9, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #44: input, references = 4, size of lhs = 2:
% 1.38/1.62 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #45: input, references = 5, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #46: input, references = 4, size of lhs = 0:
% 1.38/1.62 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #47: input, references = 4, size of lhs = 1:
% 1.38/1.62 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #48: input, references = 5, size of lhs = 1:
% 1.38/1.62 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #49: input, references = 3, size of lhs = 1:
% 1.38/1.62 pppp1-{F}(V0,V1) | equal_points-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #50: input, references = 3, size of lhs = 5:
% 1.38/1.62 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_line_connecting-{F}(V0,V2,V4), distinct_points-{F}(V0,V2), equal_lines-{F}(V3,V4) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #51: input, references = 5, size of lhs = 3:
% 1.38/1.62 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_line_connecting-{F}(V0,V2,V4) | distinct_points-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #52: input, references = 6, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #53: input, references = 3, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #54: input, references = 4, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #55: input, references = 4, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 number of initial rules = 56
% 1.38/1.62
% 1.38/1.62 Simplifiers:
% 1.38/1.62 #56: unsound, references = 3, size of lhs = 3:
% 1.38/1.62 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #57: unsound, references = 3, size of lhs = 3:
% 1.38/1.62 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #58: unsound, references = 3, size of lhs = 3:
% 1.38/1.62 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #59: unsound, references = 3, size of lhs = 3:
% 1.38/1.62 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #60: unsound, references = 3, size of lhs = 3:
% 1.38/1.62 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #61: unsound, references = 3, size of lhs = 3:
% 1.38/1.62 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #62: unsound, references = 3, size of lhs = 3:
% 1.38/1.62 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #63: unsound, references = 3, size of lhs = 3:
% 1.38/1.62 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #64: unsound, references = 3, size of lhs = 3:
% 1.38/1.62 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #65: unsound, references = 3, size of lhs = 3:
% 1.38/1.62 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 number of simplifiers = 10
% 1.38/1.62
% 1.38/1.62 Learnt:
% 1.38/1.62 #67: disj( #37, input ), references = 1, size of lhs = 1:
% 1.38/1.62 #-{F} V0 | equal_points-{T}(V0,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #69: disj( #18, input ), references = 1, size of lhs = 1:
% 1.38/1.62 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #71: disj( #41, input ), references = 1, size of lhs = 1:
% 1.38/1.62 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #73: disj( #18, input ), references = 2, size of lhs = 1:
% 1.38/1.62 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #76: disj( #43, input ), references = 1, size of lhs = 1:
% 1.38/1.62 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #78: disj( #39, input ), references = 1, size of lhs = 1:
% 1.38/1.62 #-{F} V0 | equal_lines-{T}(V0,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #82: disj( #11, input ), references = 3, size of lhs = 2:
% 1.38/1.62 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #83: disj( #11, input ), references = 1, size of lhs = 2:
% 1.38/1.62 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | distinct_points-{T}(V0,V3)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #86: disj( #43, #80+#36 ), references = 1, size of lhs = 5:
% 1.38/1.62 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2), incident_point_and_line-{F}(V2,V1), #-{F} V3, #-{F} V4 | apart_point_and_line-{T}(V3,V4)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #93: disj( #43, #82+#36 ), references = 1, size of lhs = 2:
% 1.38/1.62 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #96: disj( #18, input ), references = 1, size of lhs = 1:
% 1.38/1.62 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #98: disj( #41, input ), references = 1, size of lhs = 1:
% 1.38/1.62 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #100: disj( #45, input ), references = 1, size of lhs = 1:
% 1.38/1.62 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #107: disj( #43, #82+#36 ), references = 1, size of lhs = 2:
% 1.38/1.62 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #109: disj( #43, input ), references = 1, size of lhs = 1:
% 1.38/1.62 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #114: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 1.38/1.62 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #115: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 1.38/1.62 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #117: disj( #12, input ), references = 1, size of lhs = 2:
% 1.38/1.62 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #124: disj( #39, #116+#16 ), references = 1, size of lhs = 2:
% 1.38/1.62 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #125: disj( #39, #116+#42 ), references = 1, size of lhs = 2:
% 1.38/1.62 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #126: disj( #39, #116+#6 ), references = 1, size of lhs = 3:
% 1.38/1.62 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #128: disj( #4, input ), references = 3, size of lhs = 2:
% 1.38/1.62 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #137: exists( #54, #133 ), references = 2, size of lhs = 1:
% 1.38/1.62 apart_point_and_line-{F}(V0,V1) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #140: disj( #43, exists( #54, #133 ) ), references = 1, size of lhs = 2:
% 1.38/1.62 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #143: disj( #13, input ), references = 4, size of lhs = 1:
% 1.38/1.62 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #144: disj( #13, input ), references = 1, size of lhs = 2:
% 1.38/1.62 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #147: disj( #18, #143+#38 ), references = 1, size of lhs = 1:
% 1.38/1.62 equal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #152: disj( #39, #128+#1 ), references = 1, size of lhs = 1:
% 1.38/1.62 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #153: disj( #39, #128+#38 ), references = 1, size of lhs = 2:
% 1.38/1.62 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #156: disj( #3, input ), references = 3, size of lhs = 2:
% 1.38/1.62 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #157: disj( #3, input ), references = 1, size of lhs = 5:
% 1.38/1.62 distinct_points-{F}(V0,V1), pppp0-{F}(V1,V2,V3), P_line_connecting-{F}(V1,V2,V4), P_line_connecting-{F}(V1,V3,V5), equal_lines-{F}(V4,V5) | distinct_points-{T}(V0,V3)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #162: disj( #37, #154+#0 ), references = 5, size of lhs = 1:
% 1.38/1.62 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #163: disj( #37, #154+#36 ), references = 4, size of lhs = 2:
% 1.38/1.62 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #168: disj( #37, #156+#0 ), references = 1, size of lhs = 1:
% 1.38/1.62 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #169: disj( #37, #156+#36 ), references = 1, size of lhs = 2:
% 1.38/1.62 distinct_points-{F}(V0,V1), equal_points-{F}(V0,V2) | distinct_points-{T}(V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #181: disj( #10, exists( #54, #133 ), exists( #54, #133 ), exists( #54, #133 ) ), references = 1, size of lhs = 2:
% 1.38/1.62 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #188: disj( #37, #173+#137 ), references = 5, size of lhs = 3:
% 1.38/1.62 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #191: disj( #20, input ), references = 1, size of lhs = 2:
% 1.38/1.62 unorthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #192: disj( #20, input ), references = 1, size of lhs = 3:
% 1.38/1.62 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | unorthogonal_lines-{T}(V1,V2)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #197: disj( #45, #189+#23 ), references = 1, size of lhs = 2:
% 1.38/1.62 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #198: disj( #45, #189+#44 ), references = 1, size of lhs = 2:
% 1.38/1.62 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V0) | orthogonal_lines-{T}(V0,V1)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #206: exists( #52, #203 ), references = 2, size of lhs = 2:
% 1.38/1.62 equal_points-{F}(V0,V1), pppp0-{F}(V0,V1,V1) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #211: exists( #48, #209 ), references = 1, size of lhs = 3:
% 1.38/1.62 pppp1-{F}(V0,V0), equal_points-{F}(V0,V1), distinct_lines-{F}(V2,V3) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #214: disj( #41, #143+#38 ), references = 1, size of lhs = 1:
% 1.38/1.62 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #219: exists( #52, #217 ), references = 1, size of lhs = 3:
% 1.38/1.62 equal_points-{F}(V0,V1), pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #221: exists( #52, #218 ), references = 2, size of lhs = 2:
% 1.38/1.62 equal_points-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #226: exists( #48, #224 ), references = 1, size of lhs = 3:
% 1.38/1.62 pppp1-{F}(V0,V1), equal_points-{F}(V0,V2), distinct_lines-{F}(V3,V4) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #228: exists( #47, #225 ), references = 1, size of lhs = 3:
% 1.38/1.62 pppp2-{F}(V0), equal_points-{F}(V0,V1), distinct_lines-{F}(V2,V3) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #237: exists( #55, #235 ), references = 1, size of lhs = 1:
% 1.38/1.62 pppp2-{F}(V0) | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 #239: exists( #46, #236 ), references = 1, size of lhs = 0:
% 1.38/1.62 FALSE | FALSE
% 1.38/1.62 (used 0 times, uses = {})
% 1.38/1.62
% 1.38/1.62 number of learnt formulas = 50
% 1.38/1.62
% 1.38/1.62
% 1.38/1.62 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.62
% 1.38/1.62 randbase = 1
%------------------------------------------------------------------------------