TSTP Solution File: GEO174+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 1.70s 1.86s
% Output : Refutation 1.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.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 18:11:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.70/1.86 GeoParameters:
% 1.70/1.86
% 1.70/1.86 tptp_input = 1
% 1.70/1.86 tptp_output = 0
% 1.70/1.86 nonempty = 1
% 1.70/1.86 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.70/1.86 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.70/1.86
% 1.70/1.86
% 1.70/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.70/1.86 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.70/1.86
% 1.70/1.86 RuleSystem INPUT:
% 1.70/1.86
% 1.70/1.86 Initial Rules:
% 1.70/1.86 #0: input, references = 5, size of lhs = 1:
% 1.70/1.86 distinct_points-{F}(V0,V0) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #1: input, references = 5, size of lhs = 1:
% 1.70/1.86 distinct_lines-{F}(V0,V0) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #2: input, references = 5, size of lhs = 1:
% 1.70/1.86 convergent_lines-{F}(V0,V0) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #3: input, references = 4, size of lhs = 2:
% 1.70/1.86 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #4: input, references = 4, size of lhs = 2:
% 1.70/1.86 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #5: input, references = 4, size of lhs = 2:
% 1.70/1.86 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #6: input, references = 3, size of lhs = 3:
% 1.70/1.86 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #7: input, references = 3, size of lhs = 3:
% 1.70/1.86 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #8: input, references = 3, size of lhs = 3:
% 1.70/1.86 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #9: input, references = 3, size of lhs = 3:
% 1.70/1.86 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #10: input, references = 4, size of lhs = 2:
% 1.70/1.86 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)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #11: input, references = 4, size of lhs = 2:
% 1.70/1.86 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #12: input, references = 4, size of lhs = 2:
% 1.70/1.86 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #13: input, references = 4, size of lhs = 2:
% 1.70/1.86 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #14: input, references = 5, size of lhs = 1:
% 1.70/1.86 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #15: input, references = 8, size of lhs = 2:
% 1.70/1.86 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #16: input, references = 3, size of lhs = 2:
% 1.70/1.86 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #17: input, references = 3, size of lhs = 2:
% 1.70/1.86 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)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #18: input, references = 7, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #19: input, references = 3, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #20: input, references = 4, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #21: input, references = 3, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #22: input, references = 3, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #23: input, references = 3, size of lhs = 2:
% 1.70/1.86 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #24: input, references = 4, size of lhs = 2:
% 1.70/1.86 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #25: input, references = 3, size of lhs = 3:
% 1.70/1.86 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)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #26: input, references = 3, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #27: input, references = 3, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #28: input, references = 3, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #29: input, references = 3, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #30: input, references = 3, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #31: input, references = 3, size of lhs = 2:
% 1.70/1.86 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #32: input, references = 3, size of lhs = 4:
% 1.70/1.86 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #33: input, references = 3, size of lhs = 4:
% 1.70/1.86 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #34: input, references = 3, size of lhs = 3:
% 1.70/1.86 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #35: input, references = 3, size of lhs = 3:
% 1.70/1.86 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #36: input, references = 7, size of lhs = 2:
% 1.70/1.86 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #37: input, references = 7, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #38: input, references = 6, size of lhs = 2:
% 1.70/1.86 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #39: input, references = 6, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #40: input, references = 8, size of lhs = 2:
% 1.70/1.86 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #41: input, references = 6, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #42: input, references = 3, size of lhs = 2:
% 1.70/1.86 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #43: input, references = 8, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #44: input, references = 3, size of lhs = 2:
% 1.70/1.86 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #45: input, references = 6, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #46: input, references = 4, size of lhs = 0:
% 1.70/1.86 FALSE | EXISTS V0: pppp3-{T}(V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #47: input, references = 4, size of lhs = 1:
% 1.70/1.86 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #48: input, references = 3, size of lhs = 1:
% 1.70/1.86 pppp3-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #49: input, references = 4, size of lhs = 1:
% 1.70/1.86 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V2,V1,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #50: input, references = 3, size of lhs = 3:
% 1.70/1.86 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), distinct_lines-{F}(V2,V3) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #51: input, references = 3, size of lhs = 2:
% 1.70/1.86 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | apart_point_and_line-{T}(V0,V2), apart_point_and_line-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #52: input, references = 4, size of lhs = 2:
% 1.70/1.86 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_points-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #53: input, references = 3, size of lhs = 1:
% 1.70/1.86 pppp0-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #54: input, references = 4, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #55: input, references = 3, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #56: input, references = 4, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #57: input, references = 4, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 number of initial rules = 58
% 1.70/1.86
% 1.70/1.86 Simplifiers:
% 1.70/1.86 #58: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #59: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #60: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #61: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #62: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #63: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #64: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #65: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V2), V1 == V4 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #66: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #67: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #68: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #69: unsound, references = 3, size of lhs = 3:
% 1.70/1.86 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 number of simplifiers = 12
% 1.70/1.86
% 1.70/1.86 Learnt:
% 1.70/1.86 #71: disj( #37, input ), references = 2, size of lhs = 1:
% 1.70/1.86 #-{F} V0 | equal_points-{T}(V0,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #73: disj( #18, input ), references = 1, size of lhs = 1:
% 1.70/1.86 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #75: disj( #41, input ), references = 1, size of lhs = 1:
% 1.70/1.86 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #78: disj( #18, input ), references = 2, size of lhs = 1:
% 1.70/1.86 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #82: disj( #41, input ), references = 1, size of lhs = 1:
% 1.70/1.86 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #89: disj( #18, input ), references = 1, size of lhs = 1:
% 1.70/1.86 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #90: disj( #18, input ), references = 1, size of lhs = 1:
% 1.70/1.86 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #97: disj( #39, #14+#15 ), references = 2, size of lhs = 1:
% 1.70/1.86 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #98: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 1.70/1.86 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #100: disj( #43, input ), references = 1, size of lhs = 1:
% 1.70/1.86 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #102: disj( #45, input ), references = 1, size of lhs = 1:
% 1.70/1.86 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #104: disj( #11, input ), references = 2, size of lhs = 2:
% 1.70/1.86 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #107: disj( #43, #103+#36 ), references = 2, size of lhs = 2:
% 1.70/1.86 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #114: disj( #43, #107+#24 ), references = 1, size of lhs = 2:
% 1.70/1.86 equal_points-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #115: disj( #43, #104+#36 ), references = 1, size of lhs = 2:
% 1.70/1.86 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #117: disj( #4, input ), references = 3, size of lhs = 2:
% 1.70/1.86 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #122: disj( #39, #116+#1 ), references = 1, size of lhs = 1:
% 1.70/1.86 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #123: disj( #39, #116+#38 ), references = 1, size of lhs = 2:
% 1.70/1.86 distinct_lines-{F}(V0,V1), equal_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #128: disj( #39, #117+#1 ), references = 1, size of lhs = 1:
% 1.70/1.86 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #129: disj( #39, #117+#38 ), references = 1, size of lhs = 2:
% 1.70/1.86 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #131: disj( #43, input ), references = 1, size of lhs = 1:
% 1.70/1.86 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #134: disj( #12, input ), references = 1, size of lhs = 2:
% 1.70/1.86 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #135: disj( #12, input ), references = 1, size of lhs = 2:
% 1.70/1.86 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #140: exists( #56, #138 ), references = 2, size of lhs = 1:
% 1.70/1.86 apart_point_and_line-{F}(V0,V1) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #142: disj( #43, exists( #56, #138 ) ), references = 1, size of lhs = 2:
% 1.70/1.86 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #147: disj( #5, input ), references = 6, size of lhs = 1:
% 1.70/1.86 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #148: disj( #5, input ), references = 1, size of lhs = 2:
% 1.70/1.86 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #153: disj( #18, #147+#15 ), references = 1, size of lhs = 1:
% 1.70/1.86 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #154: disj( #18, #147+#40 ), references = 1, size of lhs = 1:
% 1.70/1.86 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #159: disj( #41, #147+#15 ), references = 1, size of lhs = 1:
% 1.70/1.86 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #160: disj( #41, #147+#40 ), references = 1, size of lhs = 1:
% 1.70/1.86 parallel_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #166: disj( #13, input ), references = 1, size of lhs = 1:
% 1.70/1.86 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #167: disj( #13, input ), references = 1, size of lhs = 2:
% 1.70/1.86 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #168: disj( #13, input ), references = 1, size of lhs = 2:
% 1.70/1.86 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | distinct_lines-{T}(V1,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #172: disj( #3, input ), references = 2, size of lhs = 2:
% 1.70/1.86 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #177: disj( #37, #171+#0 ), references = 2, size of lhs = 1:
% 1.70/1.86 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #178: disj( #37, #171+#36 ), references = 2, size of lhs = 2:
% 1.70/1.86 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #185: disj( #37, #172+#0 ), references = 1, size of lhs = 1:
% 1.70/1.86 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #188: disj( #20, input ), references = 1, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #189: disj( #20, input ), references = 4, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #196: disj( #45, #186+#2 ), references = 1, size of lhs = 2:
% 1.70/1.86 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #197: disj( #45, #186+#40 ), references = 1, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | orthogonal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #198: disj( #45, #186+#15 ), references = 1, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V2,V4,V0) | orthogonal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #219: disj( #10, exists( #56, #138 ), exists( #56, #138 ), exists( #56, #138 ) ), references = 1, size of lhs = 2:
% 1.70/1.86 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #224: disj( #37, #201+#140 ), references = 2, size of lhs = 3:
% 1.70/1.86 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #233: disj( #45, #189+#2 ), references = 1, size of lhs = 2:
% 1.70/1.86 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V0) | orthogonal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #234: disj( #45, #189+#40 ), references = 1, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2), parallel_lines-{F}(V0,V2) | orthogonal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #235: disj( #45, #189+#15 ), references = 1, size of lhs = 3:
% 1.70/1.86 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2), P_parallel_through_point-{F}(V2,V3,V0) | orthogonal_lines-{T}(V0,V1)
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #240: exists( #54, #238 ), references = 2, size of lhs = 2:
% 1.70/1.86 equal_points-{F}(V0,V1), pppp1-{F}(V0,V1,V2) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #245: exists( #49, #243 ), references = 2, size of lhs = 3:
% 1.70/1.86 pppp2-{F}(V0,V1), equal_points-{F}(V1,V2), distinct_lines-{F}(V3,V4) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #248: exists( #47, #246 ), references = 1, size of lhs = 2:
% 1.70/1.86 pppp3-{F}(V0), distinct_lines-{F}(V1,V2) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #253: exists( #57, #251 ), references = 1, size of lhs = 1:
% 1.70/1.86 pppp3-{F}(V0) | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 #255: exists( #46, #252 ), references = 1, size of lhs = 0:
% 1.70/1.86 FALSE | FALSE
% 1.70/1.86 (used 0 times, uses = {})
% 1.70/1.86
% 1.70/1.86 number of learnt formulas = 53
% 1.70/1.86
% 1.70/1.86
% 1.70/1.86 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.70/1.86
% 1.70/1.86 randbase = 1
%------------------------------------------------------------------------------