TSTP Solution File: GEO173+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO173+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 2.07s 2.28s
% Output : Refutation 2.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO173+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 18:21:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.07/2.28 GeoParameters:
% 2.07/2.28
% 2.07/2.28 tptp_input = 1
% 2.07/2.28 tptp_output = 0
% 2.07/2.28 nonempty = 1
% 2.07/2.28 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.07/2.28 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.07/2.28
% 2.07/2.28
% 2.07/2.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.07/2.28 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.07/2.28
% 2.07/2.28 RuleSystem INPUT:
% 2.07/2.28
% 2.07/2.28 Initial Rules:
% 2.07/2.28 #0: input, references = 5, size of lhs = 1:
% 2.07/2.28 distinct_points-{F}(V0,V0) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #1: input, references = 5, size of lhs = 1:
% 2.07/2.28 distinct_lines-{F}(V0,V0) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #2: input, references = 4, size of lhs = 1:
% 2.07/2.28 convergent_lines-{F}(V0,V0) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #3: input, references = 4, size of lhs = 2:
% 2.07/2.28 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #4: input, references = 4, size of lhs = 2:
% 2.07/2.28 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #5: input, references = 4, size of lhs = 2:
% 2.07/2.28 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #6: input, references = 3, size of lhs = 3:
% 2.07/2.28 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #7: input, references = 3, size of lhs = 3:
% 2.07/2.28 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #8: input, references = 3, size of lhs = 3:
% 2.07/2.28 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #9: input, references = 3, size of lhs = 3:
% 2.07/2.28 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #10: input, references = 4, size of lhs = 2:
% 2.07/2.28 distinct_lines-{F}(V0,V1), distinct_points-{F}(V3,V2) | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V3,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #11: input, references = 4, size of lhs = 2:
% 2.07/2.28 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #12: input, references = 4, size of lhs = 2:
% 2.07/2.28 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #13: input, references = 4, size of lhs = 2:
% 2.07/2.28 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #14: input, references = 5, size of lhs = 1:
% 2.07/2.28 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #15: input, references = 6, size of lhs = 2:
% 2.07/2.28 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #16: input, references = 3, size of lhs = 2:
% 2.07/2.28 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #17: input, references = 3, size of lhs = 2:
% 2.07/2.28 distinct_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #18: input, references = 7, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #19: input, references = 3, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #20: input, references = 4, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #21: input, references = 3, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #22: input, references = 3, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #23: input, references = 3, size of lhs = 2:
% 2.07/2.28 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #24: input, references = 4, size of lhs = 2:
% 2.07/2.28 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #25: input, references = 3, size of lhs = 3:
% 2.07/2.28 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), unorthogonal_lines-{T}(V0,V3), unorthogonal_lines-{T}(V1,V3)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #26: input, references = 3, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #27: input, references = 3, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #28: input, references = 3, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #29: input, references = 3, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #30: input, references = 3, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #31: input, references = 3, size of lhs = 2:
% 2.07/2.28 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #32: input, references = 3, size of lhs = 4:
% 2.07/2.28 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #33: input, references = 3, size of lhs = 4:
% 2.07/2.28 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #34: input, references = 3, size of lhs = 3:
% 2.07/2.28 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #35: input, references = 3, size of lhs = 3:
% 2.07/2.28 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #36: input, references = 7, size of lhs = 2:
% 2.07/2.28 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #37: input, references = 7, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #38: input, references = 7, size of lhs = 2:
% 2.07/2.28 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #39: input, references = 6, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #40: input, references = 7, size of lhs = 2:
% 2.07/2.28 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #41: input, references = 7, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #42: input, references = 3, size of lhs = 2:
% 2.07/2.28 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #43: input, references = 8, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #44: input, references = 3, size of lhs = 2:
% 2.07/2.28 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #45: input, references = 5, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #46: input, references = 4, size of lhs = 0:
% 2.07/2.28 FALSE | EXISTS V0: pppp3-{T}(V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #47: input, references = 4, size of lhs = 1:
% 2.07/2.28 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #48: input, references = 3, size of lhs = 1:
% 2.07/2.28 pppp3-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #49: input, references = 4, size of lhs = 1:
% 2.07/2.28 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V2,V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #50: input, references = 3, size of lhs = 2:
% 2.07/2.28 pppp2-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #51: input, references = 3, size of lhs = 3:
% 2.07/2.28 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #52: input, references = 3, size of lhs = 2:
% 2.07/2.28 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #53: input, references = 4, size of lhs = 2:
% 2.07/2.28 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_points-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #54: input, references = 3, size of lhs = 1:
% 2.07/2.28 pppp0-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #55: input, references = 4, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #56: input, references = 3, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #57: input, references = 4, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #58: input, references = 4, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 number of initial rules = 59
% 2.07/2.28
% 2.07/2.28 Simplifiers:
% 2.07/2.28 #59: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #60: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #61: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #62: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #63: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #64: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #65: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #66: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V2), V1 == V4 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #67: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #68: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #69: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V1 == V3 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #70: unsound, references = 3, size of lhs = 3:
% 2.07/2.28 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 number of simplifiers = 12
% 2.07/2.28
% 2.07/2.28 Learnt:
% 2.07/2.28 #72: disj( #37, input ), references = 2, size of lhs = 1:
% 2.07/2.28 #-{F} V0 | equal_points-{T}(V0,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #74: disj( #18, input ), references = 1, size of lhs = 1:
% 2.07/2.28 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #76: disj( #41, input ), references = 1, size of lhs = 1:
% 2.07/2.28 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #79: disj( #18, input ), references = 2, size of lhs = 1:
% 2.07/2.28 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #83: disj( #41, input ), references = 1, size of lhs = 1:
% 2.07/2.28 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #90: disj( #18, input ), references = 1, size of lhs = 1:
% 2.07/2.28 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #91: disj( #18, input ), references = 1, size of lhs = 1:
% 2.07/2.28 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #98: disj( #39, #14+#15 ), references = 2, size of lhs = 1:
% 2.07/2.28 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #99: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 2.07/2.28 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #101: disj( #43, input ), references = 1, size of lhs = 1:
% 2.07/2.28 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #103: disj( #45, input ), references = 1, size of lhs = 1:
% 2.07/2.28 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #105: disj( #11, input ), references = 2, size of lhs = 2:
% 2.07/2.28 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #108: disj( #43, #104+#36 ), references = 2, size of lhs = 2:
% 2.07/2.28 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #115: disj( #43, #108+#24 ), references = 1, size of lhs = 2:
% 2.07/2.28 equal_points-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #116: disj( #43, #105+#36 ), references = 1, size of lhs = 2:
% 2.07/2.28 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #118: disj( #4, input ), references = 3, size of lhs = 2:
% 2.07/2.28 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #123: disj( #39, #117+#1 ), references = 1, size of lhs = 1:
% 2.07/2.28 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #124: disj( #39, #117+#38 ), references = 1, size of lhs = 2:
% 2.07/2.28 distinct_lines-{F}(V0,V1), equal_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #129: disj( #39, #118+#1 ), references = 1, size of lhs = 1:
% 2.07/2.28 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #130: disj( #39, #118+#38 ), references = 1, size of lhs = 2:
% 2.07/2.28 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #132: disj( #43, input ), references = 1, size of lhs = 1:
% 2.07/2.28 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #135: disj( #12, input ), references = 1, size of lhs = 2:
% 2.07/2.28 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #136: disj( #12, input ), references = 1, size of lhs = 2:
% 2.07/2.28 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #141: exists( #57, #139 ), references = 2, size of lhs = 1:
% 2.07/2.28 apart_point_and_line-{F}(V0,V1) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #143: disj( #43, exists( #57, #139 ) ), references = 1, size of lhs = 2:
% 2.07/2.28 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #148: disj( #5, input ), references = 6, size of lhs = 1:
% 2.07/2.28 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #149: disj( #5, input ), references = 1, size of lhs = 2:
% 2.07/2.28 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #154: disj( #18, #148+#15 ), references = 1, size of lhs = 1:
% 2.07/2.28 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #155: disj( #18, #148+#40 ), references = 1, size of lhs = 1:
% 2.07/2.28 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #160: disj( #41, #148+#15 ), references = 1, size of lhs = 1:
% 2.07/2.28 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #161: disj( #41, #148+#40 ), references = 1, size of lhs = 1:
% 2.07/2.28 parallel_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #167: disj( #13, input ), references = 2, size of lhs = 1:
% 2.07/2.28 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #168: disj( #13, input ), references = 1, size of lhs = 2:
% 2.07/2.28 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #169: disj( #13, input ), references = 1, size of lhs = 2:
% 2.07/2.28 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | distinct_lines-{T}(V1,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #174: disj( #3, input ), references = 2, size of lhs = 2:
% 2.07/2.28 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #179: disj( #37, #173+#0 ), references = 2, size of lhs = 1:
% 2.07/2.28 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #180: disj( #37, #173+#36 ), references = 2, size of lhs = 2:
% 2.07/2.28 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #185: disj( #20, input ), references = 1, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #186: disj( #20, input ), references = 1, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #191: disj( #45, #183+#2 ), references = 1, size of lhs = 2:
% 2.07/2.28 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #192: disj( #45, #183+#40 ), references = 1, size of lhs = 3:
% 2.07/2.28 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | orthogonal_lines-{T}(V0,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #199: disj( #37, #174+#0 ), references = 1, size of lhs = 1:
% 2.07/2.28 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #218: disj( #10, exists( #57, #139 ), exists( #57, #139 ), exists( #57, #139 ) ), references = 1, size of lhs = 2:
% 2.07/2.28 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #223: disj( #37, #200+#141 ), references = 2, size of lhs = 3:
% 2.07/2.28 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #231: disj( #41, #167+#38 ), references = 1, size of lhs = 1:
% 2.07/2.28 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #234: exists( #55, #232 ), references = 1, size of lhs = 2:
% 2.07/2.28 equal_points-{F}(V0,V1), pppp1-{F}(V0,V1,V2) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #239: exists( #49, #237 ), references = 2, size of lhs = 3:
% 2.07/2.28 pppp2-{F}(V0,V1), equal_points-{F}(V0,V2), distinct_lines-{F}(V3,V4) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #242: exists( #47, #240 ), references = 1, size of lhs = 2:
% 2.07/2.28 pppp3-{F}(V0), distinct_lines-{F}(V1,V2) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #247: exists( #58, #245 ), references = 1, size of lhs = 1:
% 2.07/2.28 pppp3-{F}(V0) | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 #249: exists( #46, #246 ), references = 1, size of lhs = 0:
% 2.07/2.28 FALSE | FALSE
% 2.07/2.28 (used 0 times, uses = {})
% 2.07/2.28
% 2.07/2.28 number of learnt formulas = 50
% 2.07/2.28
% 2.07/2.28
% 2.07/2.28 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.07/2.28
% 2.07/2.28 randbase = 1
%------------------------------------------------------------------------------