TSTP Solution File: GEO175+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO175+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:01:52 EDT 2022
% Result : Theorem 1.02s 1.22s
% Output : Refutation 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO175+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 : n024.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 18:14:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.02/1.22 GeoParameters:
% 1.02/1.22
% 1.02/1.22 tptp_input = 1
% 1.02/1.22 tptp_output = 0
% 1.02/1.22 nonempty = 1
% 1.02/1.22 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.02/1.22 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.02/1.22
% 1.02/1.22
% 1.02/1.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.02/1.22 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.02/1.22
% 1.02/1.22 RuleSystem INPUT:
% 1.02/1.22
% 1.02/1.22 Initial Rules:
% 1.02/1.22 #0: input, references = 5, size of lhs = 1:
% 1.02/1.22 distinct_points-{F}(V0,V0) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #1: input, references = 5, size of lhs = 1:
% 1.02/1.22 distinct_lines-{F}(V0,V0) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #2: input, references = 3, size of lhs = 1:
% 1.02/1.22 convergent_lines-{F}(V0,V0) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #3: input, references = 4, size of lhs = 2:
% 1.02/1.22 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #4: input, references = 4, size of lhs = 2:
% 1.02/1.22 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #5: input, references = 4, size of lhs = 2:
% 1.02/1.22 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #6: input, references = 3, size of lhs = 3:
% 1.02/1.22 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #7: input, references = 3, size of lhs = 3:
% 1.02/1.22 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #8: input, references = 3, size of lhs = 3:
% 1.02/1.22 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #9: input, references = 3, size of lhs = 3:
% 1.02/1.22 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #10: input, references = 4, size of lhs = 2:
% 1.02/1.22 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)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #11: input, references = 4, size of lhs = 2:
% 1.02/1.22 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #12: input, references = 4, size of lhs = 2:
% 1.02/1.22 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #13: input, references = 4, size of lhs = 2:
% 1.02/1.22 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #14: input, references = 5, size of lhs = 1:
% 1.02/1.22 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #15: input, references = 6, size of lhs = 2:
% 1.02/1.22 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #16: input, references = 3, size of lhs = 2:
% 1.02/1.22 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #17: input, references = 3, size of lhs = 2:
% 1.02/1.22 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)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #18: input, references = 7, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #19: input, references = 3, size of lhs = 3:
% 1.02/1.22 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #20: input, references = 3, size of lhs = 3:
% 1.02/1.22 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #21: input, references = 3, size of lhs = 3:
% 1.02/1.22 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #22: input, references = 3, size of lhs = 3:
% 1.02/1.22 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #23: input, references = 3, size of lhs = 2:
% 1.02/1.22 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #24: input, references = 3, size of lhs = 2:
% 1.02/1.22 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #25: input, references = 3, size of lhs = 3:
% 1.02/1.22 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)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #26: input, references = 3, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #27: input, references = 3, size of lhs = 3:
% 1.02/1.22 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #28: input, references = 3, size of lhs = 3:
% 1.02/1.22 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #29: input, references = 3, size of lhs = 3:
% 1.02/1.22 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #30: input, references = 3, size of lhs = 3:
% 1.02/1.22 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #31: input, references = 3, size of lhs = 2:
% 1.02/1.22 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #32: input, references = 3, size of lhs = 4:
% 1.02/1.22 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #33: input, references = 3, size of lhs = 4:
% 1.02/1.22 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #34: input, references = 3, size of lhs = 3:
% 1.02/1.22 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #35: input, references = 3, size of lhs = 3:
% 1.02/1.22 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #36: input, references = 4, size of lhs = 2:
% 1.02/1.22 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #37: input, references = 6, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #38: input, references = 7, size of lhs = 2:
% 1.02/1.22 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #39: input, references = 5, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #40: input, references = 6, size of lhs = 2:
% 1.02/1.22 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #41: input, references = 6, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #42: input, references = 3, size of lhs = 2:
% 1.02/1.22 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #43: input, references = 8, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #44: input, references = 3, size of lhs = 2:
% 1.02/1.22 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #45: input, references = 4, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #46: input, references = 4, size of lhs = 0:
% 1.02/1.22 FALSE | EXISTS V0: pppp3-{T}(V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #47: input, references = 3, size of lhs = 1:
% 1.02/1.22 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #48: input, references = 4, size of lhs = 1:
% 1.02/1.22 pppp3-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #49: input, references = 3, size of lhs = 1:
% 1.02/1.22 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #50: input, references = 3, size of lhs = 2:
% 1.02/1.22 pppp2-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #51: input, references = 3, size of lhs = 3:
% 1.02/1.22 pppp1-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V2,V3), apart_point_and_line-{F}(V0,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #52: input, references = 3, size of lhs = 2:
% 1.02/1.22 pppp1-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V2,V3) | distinct_points-{T}(V0,V3)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #53: input, references = 3, size of lhs = 2:
% 1.02/1.22 pppp1-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V2,V3) | convergent_lines-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #54: input, references = 4, size of lhs = 1:
% 1.02/1.22 pppp0-{F}(V0,V1) | distinct_points-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #55: input, references = 3, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #56: input, references = 3, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #57: input, references = 4, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #58: input, references = 4, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 number of initial rules = 59
% 1.02/1.22
% 1.02/1.22 Simplifiers:
% 1.02/1.22 #59: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #60: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #61: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #62: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #63: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #64: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #65: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #66: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V5), V2 == V5 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #67: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #68: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #69: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #70: unsound, references = 3, size of lhs = 3:
% 1.02/1.22 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 number of simplifiers = 12
% 1.02/1.22
% 1.02/1.22 Learnt:
% 1.02/1.22 #72: disj( #37, input ), references = 1, size of lhs = 1:
% 1.02/1.22 #-{F} V0 | equal_points-{T}(V0,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #74: disj( #18, input ), references = 1, size of lhs = 1:
% 1.02/1.22 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #76: disj( #41, input ), references = 1, size of lhs = 1:
% 1.02/1.22 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #78: disj( #18, input ), references = 2, size of lhs = 1:
% 1.02/1.22 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #81: disj( #41, input ), references = 1, size of lhs = 1:
% 1.02/1.22 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #86: disj( #18, input ), references = 1, size of lhs = 1:
% 1.02/1.22 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #87: disj( #18, input ), references = 1, size of lhs = 1:
% 1.02/1.22 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #94: disj( #39, #14+#15 ), references = 2, size of lhs = 1:
% 1.02/1.22 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #95: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 1.02/1.22 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #97: disj( #43, input ), references = 1, size of lhs = 1:
% 1.02/1.22 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #99: disj( #43, input ), references = 1, size of lhs = 1:
% 1.02/1.22 pppp2-{F}(V0,V1) | incident_point_and_line-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #101: disj( #45, input ), references = 1, size of lhs = 1:
% 1.02/1.22 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #105: disj( #11, input ), references = 1, size of lhs = 2:
% 1.02/1.22 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #106: disj( #11, input ), references = 1, size of lhs = 2:
% 1.02/1.22 apart_point_and_line-{F}(V0,V1), pppp2-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #107: disj( #11, input ), references = 1, size of lhs = 2:
% 1.02/1.22 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | distinct_points-{T}(V0,V3)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #113: disj( #12, input ), references = 1, size of lhs = 2:
% 1.02/1.22 apart_point_and_line-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #114: disj( #12, input ), references = 3, size of lhs = 2:
% 1.02/1.22 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #115: disj( #12, input ), references = 1, size of lhs = 3:
% 1.02/1.22 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #119: disj( #43, input ), references = 1, size of lhs = 1:
% 1.02/1.22 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #120: disj( #43, input ), references = 1, size of lhs = 2:
% 1.02/1.22 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V0,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #121: disj( #43, input ), references = 1, size of lhs = 2:
% 1.02/1.22 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #126: disj( #43, #114+#38 ), references = 1, size of lhs = 2:
% 1.02/1.22 incident_point_and_line-{F}(V0,V1), equal_lines-{F}(V2,V1) | incident_point_and_line-{T}(V0,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #128: disj( #4, input ), references = 3, size of lhs = 2:
% 1.02/1.22 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #139: exists( #57, #135 ), references = 2, size of lhs = 1:
% 1.02/1.22 apart_point_and_line-{F}(V0,V1) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #142: disj( #43, exists( #57, #135 ) ), references = 1, size of lhs = 2:
% 1.02/1.22 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #145: disj( #5, input ), references = 5, size of lhs = 1:
% 1.02/1.22 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #146: disj( #5, input ), references = 1, size of lhs = 2:
% 1.02/1.22 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #150: disj( #13, input ), references = 4, size of lhs = 1:
% 1.02/1.22 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #151: disj( #13, input ), references = 1, size of lhs = 2:
% 1.02/1.22 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #152: disj( #13, input ), references = 1, size of lhs = 2:
% 1.02/1.22 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | distinct_lines-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #159: disj( #39, #128+#1 ), references = 1, size of lhs = 1:
% 1.02/1.22 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #160: disj( #39, #128+#38 ), references = 1, size of lhs = 2:
% 1.02/1.22 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #167: disj( #18, #145+#15 ), references = 1, size of lhs = 1:
% 1.02/1.22 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #168: disj( #18, #150+#38 ), references = 1, size of lhs = 1:
% 1.02/1.22 equal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #169: disj( #18, #145+#40 ), references = 1, size of lhs = 1:
% 1.02/1.22 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #171: disj( #3, input ), references = 2, size of lhs = 2:
% 1.02/1.22 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #176: disj( #37, #170+#0 ), references = 1, size of lhs = 1:
% 1.02/1.22 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #177: disj( #37, #170+#36 ), references = 1, size of lhs = 2:
% 1.02/1.22 distinct_points-{F}(V0,V1), equal_points-{F}(V0,V2) | distinct_points-{T}(V1,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #184: disj( #41, #145+#15 ), references = 1, size of lhs = 1:
% 1.02/1.22 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #185: disj( #41, #150+#38 ), references = 1, size of lhs = 1:
% 1.02/1.22 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #186: disj( #41, #145+#40 ), references = 1, size of lhs = 1:
% 1.02/1.22 parallel_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #193: disj( #37, #171+#0 ), references = 1, size of lhs = 1:
% 1.02/1.22 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #207: disj( #10, exists( #57, #135 ), exists( #57, #135 ), exists( #57, #135 ) ), references = 1, size of lhs = 2:
% 1.02/1.22 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #214: exists( #48, #210 ), references = 1, size of lhs = 2:
% 1.02/1.22 pppp3-{F}(V0), distinct_lines-{F}(V1,V2) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #222: exists( #58, #218 ), references = 1, size of lhs = 1:
% 1.02/1.22 pppp3-{F}(V0) | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 #225: exists( #46, #220 ), references = 1, size of lhs = 0:
% 1.02/1.22 FALSE | FALSE
% 1.02/1.22 (used 0 times, uses = {})
% 1.02/1.22
% 1.02/1.22 number of learnt formulas = 46
% 1.02/1.22
% 1.02/1.22
% 1.02/1.22 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.02/1.22
% 1.02/1.22 randbase = 1
%------------------------------------------------------------------------------