%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO186+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:01:56 EDT 2022
% Result : Theorem 2.23s 2.42s
% Output : Refutation 2.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO186+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Fri Jul 22 17:31:21 EDT 2022
% 0.19/0.34 % CPUTime :
% 2.23/2.42 GeoParameters:
% 2.23/2.42
% 2.23/2.42 tptp_input = 1
% 2.23/2.42 tptp_output = 0
% 2.23/2.42 nonempty = 1
% 2.23/2.42 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.23/2.42 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.23/2.42
% 2.23/2.42
% 2.23/2.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.23/2.42 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.23/2.42
% 2.23/2.42 RuleSystem INPUT:
% 2.23/2.42
% 2.23/2.42 Initial Rules:
% 2.23/2.42 #0: input, references = 5, size of lhs = 1:
% 2.23/2.42 distinct_points-{F}(V0,V0) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #1: input, references = 3, size of lhs = 1:
% 2.23/2.42 distinct_lines-{F}(V0,V0) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #2: input, references = 3, size of lhs = 1:
% 2.23/2.42 convergent_lines-{F}(V0,V0) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #3: input, references = 4, size of lhs = 2:
% 2.23/2.42 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #4: input, references = 3, size of lhs = 2:
% 2.23/2.42 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #5: input, references = 4, size of lhs = 2:
% 2.23/2.42 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #6: input, references = 3, size of lhs = 3:
% 2.23/2.42 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #7: input, references = 3, size of lhs = 3:
% 2.23/2.42 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #8: input, references = 3, size of lhs = 3:
% 2.23/2.42 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #9: input, references = 3, size of lhs = 3:
% 2.23/2.42 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #10: input, references = 5, size of lhs = 2:
% 2.23/2.42 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)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #11: input, references = 3, size of lhs = 2:
% 2.23/2.42 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #12: input, references = 4, size of lhs = 2:
% 2.23/2.42 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #13: input, references = 4, size of lhs = 2:
% 2.23/2.42 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #14: input, references = 5, size of lhs = 1:
% 2.23/2.42 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #15: input, references = 5, size of lhs = 2:
% 2.23/2.42 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #16: input, references = 5, size of lhs = 2:
% 2.23/2.42 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #17: input, references = 3, size of lhs = 2:
% 2.23/2.42 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)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #18: input, references = 7, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #19: input, references = 3, size of lhs = 3:
% 2.23/2.42 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #20: input, references = 3, size of lhs = 3:
% 2.23/2.42 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #21: input, references = 3, size of lhs = 3:
% 2.23/2.42 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #22: input, references = 3, size of lhs = 3:
% 2.23/2.42 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #23: input, references = 3, size of lhs = 2:
% 2.23/2.42 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #24: input, references = 4, size of lhs = 2:
% 2.23/2.42 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #25: input, references = 3, size of lhs = 3:
% 2.23/2.42 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)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #26: input, references = 3, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #27: input, references = 3, size of lhs = 3:
% 2.23/2.42 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #28: input, references = 3, size of lhs = 3:
% 2.23/2.42 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #29: input, references = 3, size of lhs = 3:
% 2.23/2.42 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #30: input, references = 3, size of lhs = 3:
% 2.23/2.42 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #31: input, references = 4, size of lhs = 2:
% 2.23/2.42 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #32: input, references = 3, size of lhs = 4:
% 2.23/2.42 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #33: input, references = 3, size of lhs = 4:
% 2.23/2.42 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #34: input, references = 3, size of lhs = 3:
% 2.23/2.42 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #35: input, references = 3, size of lhs = 3:
% 2.23/2.42 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #36: input, references = 4, size of lhs = 2:
% 2.23/2.42 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #37: input, references = 6, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #38: input, references = 4, size of lhs = 2:
% 2.23/2.42 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #39: input, references = 5, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #40: input, references = 5, size of lhs = 2:
% 2.23/2.42 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #41: input, references = 6, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #42: input, references = 4, size of lhs = 2:
% 2.23/2.42 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #43: input, references = 7, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #44: input, references = 3, size of lhs = 2:
% 2.23/2.42 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #45: input, references = 4, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #46: input, references = 4, size of lhs = 0:
% 2.23/2.42 FALSE | EXISTS V0: pppp3-{T}(V0)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #47: input, references = 3, size of lhs = 1:
% 2.23/2.42 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #48: input, references = 4, size of lhs = 1:
% 2.23/2.42 pppp3-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #49: input, references = 3, size of lhs = 1:
% 2.23/2.42 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V2,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #50: input, references = 3, size of lhs = 1:
% 2.23/2.42 pppp2-{F}(V0,V1) | incident_point_and_line-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #51: input, references = 3, size of lhs = 3:
% 2.23/2.42 pppp1-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V2,V3), equal_points-{F}(V0,V3) | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #52: input, references = 3, size of lhs = 2:
% 2.23/2.42 pppp1-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V2,V3) | incident_point_and_line-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #53: input, references = 3, size of lhs = 2:
% 2.23/2.42 pppp1-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V2,V3) | convergent_lines-{T}(V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #54: input, references = 4, size of lhs = 1:
% 2.23/2.42 pppp0-{F}(V0,V1) | distinct_points-{T}(V0,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #55: input, references = 3, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #56: input, references = 3, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #57: input, references = 4, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #58: input, references = 4, size of lhs = 2:
% 2.23/2.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 number of initial rules = 59
% 2.23/2.42
% 2.23/2.42 Simplifiers:
% 2.23/2.42 #59: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #60: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #61: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #62: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #63: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #64: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #65: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #66: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V5), V2 == V5 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #67: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #68: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #69: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #70: unsound, references = 3, size of lhs = 3:
% 2.23/2.42 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 number of simplifiers = 12
% 2.23/2.42
% 2.23/2.42 Learnt:
% 2.23/2.42 #72: disj( #37, input ), references = 1, size of lhs = 1:
% 2.23/2.42 #-{F} V0 | equal_points-{T}(V0,V0)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #74: disj( #18, input ), references = 1, size of lhs = 1:
% 2.23/2.42 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #76: disj( #41, input ), references = 1, size of lhs = 1:
% 2.23/2.42 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #80: disj( #18, input ), references = 2, size of lhs = 1:
% 2.23/2.42 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #85: disj( #18, input ), references = 1, size of lhs = 1:
% 2.23/2.42 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #89: disj( #39, input ), references = 1, size of lhs = 1:
% 2.23/2.42 #-{F} V0 | equal_lines-{T}(V0,V0)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #92: disj( #5, input ), references = 3, size of lhs = 1:
% 2.23/2.42 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #93: disj( #5, input ), references = 1, size of lhs = 2:
% 2.23/2.42 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #96: disj( #43, input ), references = 1, size of lhs = 1:
% 2.23/2.42 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #97: disj( #43, input ), references = 1, size of lhs = 2:
% 2.23/2.42 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #101: disj( #31, input ), references = 1, size of lhs = 2:
% 2.23/2.42 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V3) | unorthogonal_lines-{T}(V3,V1)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #105: disj( #13, input ), references = 3, size of lhs = 1:
% 2.23/2.42 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #106: disj( #13, input ), references = 1, size of lhs = 2:
% 2.23/2.42 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 2.23/2.42 (used 0 times, uses = {})
% 2.23/2.42
% 2.23/2.42 #107: disj( #13, input ), references = 1, size of lhs = 2:
% 2.23/2.43 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | distinct_lines-{T}(V1,V2)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #111: disj( #41, input ), references = 1, size of lhs = 1:
% 2.23/2.43 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #113: disj( #45, input ), references = 1, size of lhs = 1:
% 2.23/2.43 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #118: disj( #43, input ), references = 1, size of lhs = 2:
% 2.23/2.43 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V0)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #119: disj( #43, input ), references = 1, size of lhs = 2:
% 2.23/2.43 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V1)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #121: disj( #3, input ), references = 2, size of lhs = 2:
% 2.23/2.43 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #126: disj( #37, #120+#0 ), references = 1, size of lhs = 1:
% 2.23/2.43 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #127: disj( #37, #120+#36 ), references = 1, size of lhs = 2:
% 2.23/2.43 distinct_points-{F}(V0,V1), equal_points-{F}(V0,V2) | distinct_points-{T}(V1,V2)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #138: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 2.23/2.43 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #139: disj( #39, #14+#40 ), references = 2, size of lhs = 1:
% 2.23/2.43 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #149: disj( #10, input, input, input ), references = 4, size of lhs = 6:
% 2.23/2.43 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), distinct_lines-{F}(V2,V3), incident_point_and_line-{F}(V1,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V2) | apart_point_and_line-{T}(V0,V3)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #150: disj( #10, input, input, input ), references = 1, size of lhs = 6:
% 2.23/2.43 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), distinct_lines-{F}(V2,V3), P_parallel_through_point-{F}(V4,V1,V3), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V2) | apart_point_and_line-{T}(V0,V3)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #151: disj( #10, input, input, input ), references = 1, size of lhs = 7:
% 2.23/2.43 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V1,V4), P_line_connecting-{F}(V1,V4,V3), distinct_points-{F}(V0,V5), P_line_connecting-{F}(V0,V5,V2) | apart_point_and_line-{T}(V0,V3)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #164: disj( #37, #121+#0 ), references = 1, size of lhs = 1:
% 2.23/2.43 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #181: disj( #43, #149+#24 ), references = 1, size of lhs = 6:
% 2.23/2.43 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V2), P_orthogonal_through_point-{F}(V5,V0,V3) | apart_point_and_line-{T}(V1,V3)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #182: disj( #43, #149+#42 ), references = 1, size of lhs = 6:
% 2.23/2.43 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), distinct_lines-{F}(V2,V3), incident_point_and_line-{F}(V0,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V2) | apart_point_and_line-{T}(V1,V3)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #183: disj( #43, #149+#16 ), references = 1, size of lhs = 6:
% 2.23/2.43 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), distinct_lines-{F}(V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V2), P_parallel_through_point-{F}(V5,V0,V3) | apart_point_and_line-{T}(V1,V3)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #202: disj( #41, #92+#15 ), references = 1, size of lhs = 1:
% 2.23/2.43 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #203: disj( #41, #105+#38 ), references = 1, size of lhs = 1:
% 2.23/2.43 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #204: disj( #41, #92+#40 ), references = 1, size of lhs = 1:
% 2.23/2.43 parallel_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #206: disj( #12, input ), references = 1, size of lhs = 2:
% 2.23/2.43 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #217: exists( #57, #213 ), references = 2, size of lhs = 1:
% 2.23/2.43 apart_point_and_line-{F}(V0,V1) | FALSE
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #219: disj( #43, exists( #57, #213 ) ), references = 1, size of lhs = 2:
% 2.23/2.43 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #223: disj( #18, input ), references = 1, size of lhs = 1:
% 2.23/2.43 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #269: disj( #10, exists( #57, #213 ), exists( #57, #213 ), exists( #57, #213 ) ), references = 1, size of lhs = 2:
% 2.23/2.43 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #276: exists( #48, #272 ), references = 1, size of lhs = 2:
% 2.23/2.43 pppp3-{F}(V0), distinct_lines-{F}(V1,V2) | FALSE
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #284: exists( #58, #280 ), references = 1, size of lhs = 1:
% 2.23/2.43 pppp3-{F}(V0) | FALSE
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 #288: exists( #46, #282 ), references = 1, size of lhs = 0:
% 2.23/2.43 FALSE | FALSE
% 2.23/2.43 (used 0 times, uses = {})
% 2.23/2.43
% 2.23/2.43 number of learnt formulas = 41
% 2.23/2.43
% 2.23/2.43
% 2.23/2.43 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.23/2.43
% 2.23/2.43 randbase = 1
%------------------------------------------------------------------------------