TSTP Solution File: GEO189+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO189+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:01:57 EDT 2022
% Result : Theorem 1.08s 1.25s
% Output : Refutation 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO189+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 : n005.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 17:56:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.08/1.25 GeoParameters:
% 1.08/1.25
% 1.08/1.25 tptp_input = 1
% 1.08/1.25 tptp_output = 0
% 1.08/1.25 nonempty = 1
% 1.08/1.25 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.25 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.08/1.25
% 1.08/1.25
% 1.08/1.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.25
% 1.08/1.25 RuleSystem INPUT:
% 1.08/1.25
% 1.08/1.25 Initial Rules:
% 1.08/1.25 #0: input, references = 5, size of lhs = 1:
% 1.08/1.25 distinct_points-{F}(V0,V0) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #1: input, references = 4, size of lhs = 1:
% 1.08/1.25 distinct_lines-{F}(V0,V0) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #2: input, references = 4, size of lhs = 1:
% 1.08/1.25 convergent_lines-{F}(V0,V0) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #3: input, references = 4, size of lhs = 2:
% 1.08/1.25 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #4: input, references = 3, size of lhs = 2:
% 1.08/1.25 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #5: input, references = 3, size of lhs = 2:
% 1.08/1.25 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #6: input, references = 3, size of lhs = 3:
% 1.08/1.25 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #7: input, references = 3, size of lhs = 3:
% 1.08/1.25 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #8: input, references = 3, size of lhs = 3:
% 1.08/1.25 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #9: input, references = 3, size of lhs = 3:
% 1.08/1.25 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #10: input, references = 4, size of lhs = 2:
% 1.08/1.25 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)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #11: input, references = 3, size of lhs = 2:
% 1.08/1.25 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #12: input, references = 4, size of lhs = 2:
% 1.08/1.25 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #13: input, references = 4, size of lhs = 2:
% 1.08/1.25 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #14: input, references = 9, size of lhs = 1:
% 1.08/1.25 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #15: input, references = 7, size of lhs = 2:
% 1.08/1.25 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #16: input, references = 3, size of lhs = 2:
% 1.08/1.25 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #17: input, references = 3, size of lhs = 2:
% 1.08/1.25 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)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #18: input, references = 7, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #19: input, references = 3, size of lhs = 3:
% 1.08/1.25 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #20: input, references = 3, size of lhs = 3:
% 1.08/1.25 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #21: input, references = 3, size of lhs = 3:
% 1.08/1.25 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #22: input, references = 3, size of lhs = 3:
% 1.08/1.25 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #23: input, references = 3, size of lhs = 2:
% 1.08/1.25 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #24: input, references = 3, size of lhs = 2:
% 1.08/1.25 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #25: input, references = 3, size of lhs = 3:
% 1.08/1.25 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)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #26: input, references = 3, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #27: input, references = 3, size of lhs = 3:
% 1.08/1.25 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #28: input, references = 3, size of lhs = 3:
% 1.08/1.25 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #29: input, references = 3, size of lhs = 3:
% 1.08/1.25 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #30: input, references = 3, size of lhs = 3:
% 1.08/1.25 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #31: input, references = 3, size of lhs = 2:
% 1.08/1.25 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #32: input, references = 3, size of lhs = 4:
% 1.08/1.25 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #33: input, references = 3, size of lhs = 4:
% 1.08/1.25 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #34: input, references = 3, size of lhs = 3:
% 1.08/1.25 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #35: input, references = 3, size of lhs = 3:
% 1.08/1.25 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #36: input, references = 5, size of lhs = 2:
% 1.08/1.25 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #37: input, references = 7, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #38: input, references = 6, size of lhs = 2:
% 1.08/1.25 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #39: input, references = 8, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #40: input, references = 5, size of lhs = 2:
% 1.08/1.25 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #41: input, references = 6, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #42: input, references = 4, size of lhs = 2:
% 1.08/1.25 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #43: input, references = 9, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #44: input, references = 3, size of lhs = 2:
% 1.08/1.25 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #45: input, references = 4, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #46: input, references = 4, size of lhs = 0:
% 1.08/1.25 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #47: input, references = 4, size of lhs = 1:
% 1.08/1.25 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #48: input, references = 3, size of lhs = 1:
% 1.08/1.25 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #49: input, references = 4, size of lhs = 1:
% 1.08/1.25 pppp1-{F}(V0,V1) | distinct_points-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #50: input, references = 4, size of lhs = 4:
% 1.08/1.25 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_line_connecting-{F}(V0,V2,V4), incident_point_and_line-{F}(V1,V4) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #51: input, references = 4, size of lhs = 3:
% 1.08/1.25 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_line_connecting-{F}(V0,V2,V4) | incident_point_and_line-{T}(V2,V3)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #52: input, references = 4, size of lhs = 3:
% 1.08/1.25 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_line_connecting-{F}(V0,V2,V4) | distinct_points-{T}(V0,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #53: input, references = 3, size of lhs = 3:
% 1.08/1.25 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_line_connecting-{F}(V0,V2,V4) | distinct_points-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #54: input, references = 6, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #55: input, references = 3, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #56: input, references = 4, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #57: input, references = 4, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 number of initial rules = 58
% 1.08/1.25
% 1.08/1.25 Simplifiers:
% 1.08/1.25 #58: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #59: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #60: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #61: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #62: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #63: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #64: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #65: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #66: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #67: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 number of simplifiers = 10
% 1.08/1.25
% 1.08/1.25 Learnt:
% 1.08/1.25 #69: disj( #37, input ), references = 1, size of lhs = 1:
% 1.08/1.25 #-{F} V0 | equal_points-{T}(V0,V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #71: disj( #18, input ), references = 1, size of lhs = 1:
% 1.08/1.25 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #73: disj( #41, input ), references = 1, size of lhs = 1:
% 1.08/1.25 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #75: disj( #18, input ), references = 2, size of lhs = 1:
% 1.08/1.25 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #80: disj( #18, input ), references = 1, size of lhs = 1:
% 1.08/1.25 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #84: disj( #43, input ), references = 2, size of lhs = 1:
% 1.08/1.25 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #86: disj( #39, input ), references = 1, size of lhs = 1:
% 1.08/1.25 #-{F} V0 | equal_lines-{T}(V0,V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #88: disj( #43, input ), references = 1, size of lhs = 1:
% 1.08/1.25 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #90: disj( #13, input ), references = 2, size of lhs = 2:
% 1.08/1.25 convergent_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #97: disj( #39, #89+#2 ), references = 5, size of lhs = 1:
% 1.08/1.26 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #98: disj( #39, #89+#40 ), references = 1, size of lhs = 2:
% 1.08/1.26 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #99: disj( #39, #89+#15 ), references = 1, size of lhs = 2:
% 1.08/1.26 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | distinct_lines-{T}(V1,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #105: disj( #3, input ), references = 2, size of lhs = 2:
% 1.08/1.26 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #106: disj( #3, input ), references = 1, size of lhs = 3:
% 1.08/1.26 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V1,V2,V3), apart_point_and_line-{F}(V2,V3) | distinct_points-{T}(V0,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #111: disj( #37, #103+#0 ), references = 1, size of lhs = 1:
% 1.08/1.26 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #112: disj( #37, #103+#36 ), references = 1, size of lhs = 2:
% 1.08/1.26 distinct_points-{F}(V0,V1), equal_points-{F}(V0,V2) | distinct_points-{T}(V1,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #114: disj( #45, input ), references = 1, size of lhs = 1:
% 1.08/1.26 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #120: disj( #18, #97+#14+#15 ), references = 1, size of lhs = 1:
% 1.08/1.26 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #122: disj( #43, input ), references = 1, size of lhs = 2:
% 1.08/1.26 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #127: disj( #39, #90+#97+#14+#15 ), references = 3, size of lhs = 2:
% 1.08/1.26 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #138: disj( #39, #14+#127+#1 ), references = 2, size of lhs = 1:
% 1.08/1.26 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V0,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #139: disj( #39, #14+#127+#38 ), references = 1, size of lhs = 2:
% 1.08/1.26 equal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | equal_lines-{T}(V2,V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #142: disj( #43, input ), references = 2, size of lhs = 2:
% 1.08/1.26 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V0,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #143: disj( #43, input ), references = 1, size of lhs = 2:
% 1.08/1.26 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #145: disj( #41, input ), references = 1, size of lhs = 1:
% 1.08/1.26 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #150: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 1.08/1.26 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #151: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 1.08/1.26 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #154: disj( #41, #97+#38 ), references = 1, size of lhs = 1:
% 1.08/1.26 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #157: exists( #54, #155 ), references = 1, size of lhs = 3:
% 1.08/1.26 distinct_points-{F}(V0,V1), pppp0-{F}(V0,V0,V1), P_line_connecting-{F}(V0,V0,V2) | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #162: disj( #37, #105+#0 ), references = 1, size of lhs = 1:
% 1.08/1.26 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #165: exists( #54, #163 ), references = 1, size of lhs = 3:
% 1.08/1.26 equal_points-{F}(V0,V1), pppp0-{F}(V0,V2,V1), P_line_connecting-{F}(V0,V2,V3) | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #167: disj( #37, exists( #54, #163 ) ), references = 1, size of lhs = 2:
% 1.08/1.26 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_points-{T}(V0,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #170: exists( #54, #168 ), references = 1, size of lhs = 3:
% 1.08/1.26 apart_point_and_line-{F}(V0,V1), pppp0-{F}(V2,V3,V0), P_line_connecting-{F}(V2,V3,V1) | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #172: disj( #43, exists( #54, #168 ) ), references = 1, size of lhs = 2:
% 1.08/1.26 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | incident_point_and_line-{T}(V2,V3)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #176: disj( #12, input ), references = 2, size of lhs = 2:
% 1.08/1.26 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #177: disj( #12, input ), references = 1, size of lhs = 3:
% 1.08/1.26 distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #178: disj( #12, input ), references = 1, size of lhs = 3:
% 1.08/1.26 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #183: exists( #56, #181 ), references = 2, size of lhs = 1:
% 1.08/1.26 apart_point_and_line-{F}(V0,V1) | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #185: disj( #43, exists( #56, #181 ) ), references = 1, size of lhs = 2:
% 1.08/1.26 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #204: disj( #10, exists( #56, #181 ), exists( #56, #181 ), exists( #56, #181 ) ), references = 1, size of lhs = 2:
% 1.08/1.26 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #211: exists( #47, #207 ), references = 1, size of lhs = 2:
% 1.08/1.26 pppp2-{F}(V0), distinct_lines-{F}(V1,V2) | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #219: exists( #57, #215 ), references = 1, size of lhs = 1:
% 1.08/1.26 pppp2-{F}(V0) | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #222: exists( #46, #217 ), references = 1, size of lhs = 0:
% 1.08/1.26 FALSE | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 number of learnt formulas = 43
% 1.08/1.26
% 1.08/1.26
% 1.08/1.26 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/1.26
% 1.08/1.26 randbase = 1
%------------------------------------------------------------------------------