%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO201+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:02:02 EDT 2022
% Result : Theorem 0.84s 1.03s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO201+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 17:54:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.84/1.03 GeoParameters:
% 0.84/1.03
% 0.84/1.03 tptp_input = 1
% 0.84/1.03 tptp_output = 0
% 0.84/1.03 nonempty = 1
% 0.84/1.03 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.03 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.84/1.03
% 0.84/1.03
% 0.84/1.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.03 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.03
% 0.84/1.03 RuleSystem INPUT:
% 0.84/1.03
% 0.84/1.03 Initial Rules:
% 0.84/1.03 #0: input, references = 4, size of lhs = 1:
% 0.84/1.03 distinct_points-{F}(V0,V0) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #1: input, references = 5, size of lhs = 1:
% 0.84/1.03 distinct_lines-{F}(V0,V0) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #2: input, references = 6, size of lhs = 1:
% 0.84/1.03 convergent_lines-{F}(V0,V0) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #3: input, references = 4, size of lhs = 2:
% 0.84/1.03 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #4: input, references = 4, size of lhs = 2:
% 0.84/1.03 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #5: input, references = 3, size of lhs = 2:
% 0.84/1.03 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #6: input, references = 3, size of lhs = 3:
% 0.84/1.03 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #7: input, references = 3, size of lhs = 3:
% 0.84/1.03 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #8: input, references = 3, size of lhs = 3:
% 0.84/1.03 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #9: input, references = 3, size of lhs = 3:
% 0.84/1.03 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #10: input, references = 4, size of lhs = 2:
% 0.84/1.03 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)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #11: input, references = 4, size of lhs = 2:
% 0.84/1.03 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #12: input, references = 4, size of lhs = 2:
% 0.84/1.03 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #13: input, references = 4, size of lhs = 2:
% 0.84/1.03 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #14: input, references = 5, size of lhs = 1:
% 0.84/1.03 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #15: input, references = 5, size of lhs = 2:
% 0.84/1.03 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #16: input, references = 4, size of lhs = 2:
% 0.84/1.03 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #17: input, references = 3, size of lhs = 2:
% 0.84/1.03 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)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #18: input, references = 7, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #19: input, references = 3, size of lhs = 3:
% 0.84/1.03 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #20: input, references = 3, size of lhs = 3:
% 0.84/1.03 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #21: input, references = 3, size of lhs = 3:
% 0.84/1.03 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #22: input, references = 3, size of lhs = 3:
% 0.84/1.03 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #23: input, references = 3, size of lhs = 2:
% 0.84/1.03 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #24: input, references = 3, size of lhs = 2:
% 0.84/1.03 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #25: input, references = 3, size of lhs = 3:
% 0.84/1.03 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)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #26: input, references = 3, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #27: input, references = 3, size of lhs = 3:
% 0.84/1.03 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #28: input, references = 3, size of lhs = 3:
% 0.84/1.03 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #29: input, references = 3, size of lhs = 3:
% 0.84/1.03 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #30: input, references = 3, size of lhs = 3:
% 0.84/1.03 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #31: input, references = 3, size of lhs = 2:
% 0.84/1.03 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #32: input, references = 3, size of lhs = 4:
% 0.84/1.03 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #33: input, references = 3, size of lhs = 4:
% 0.84/1.03 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #34: input, references = 3, size of lhs = 3:
% 0.84/1.03 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #35: input, references = 3, size of lhs = 3:
% 0.84/1.03 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #36: input, references = 4, size of lhs = 2:
% 0.84/1.03 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #37: input, references = 7, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #38: input, references = 4, size of lhs = 2:
% 0.84/1.03 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #39: input, references = 7, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #40: input, references = 8, size of lhs = 2:
% 0.84/1.03 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #41: input, references = 7, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #42: input, references = 4, size of lhs = 2:
% 0.84/1.03 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #43: input, references = 6, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #44: input, references = 3, size of lhs = 2:
% 0.84/1.03 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #45: input, references = 4, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #46: input, references = 4, size of lhs = 0:
% 0.84/1.03 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #47: input, references = 4, size of lhs = 1:
% 0.84/1.03 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #48: input, references = 4, size of lhs = 4:
% 0.84/1.03 pppp0-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V0,V3), equal_points-{F}(V2,V3) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #49: input, references = 5, size of lhs = 3:
% 0.84/1.03 pppp0-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V0,V3) | convergent_lines-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #50: input, references = 3, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #51: input, references = 7, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #52: input, references = 4, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #53: input, references = 4, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 number of initial rules = 54
% 0.84/1.03
% 0.84/1.03 Simplifiers:
% 0.84/1.03 #54: unsound, references = 3, size of lhs = 3:
% 0.84/1.03 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #55: unsound, references = 3, size of lhs = 3:
% 0.84/1.03 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #56: unsound, references = 3, size of lhs = 3:
% 0.84/1.03 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #57: unsound, references = 3, size of lhs = 3:
% 0.84/1.03 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #58: unsound, references = 3, size of lhs = 3:
% 0.84/1.03 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #59: unsound, references = 3, size of lhs = 3:
% 0.84/1.03 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #60: unsound, references = 3, size of lhs = 3:
% 0.84/1.03 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 number of simplifiers = 7
% 0.84/1.03
% 0.84/1.03 Learnt:
% 0.84/1.03 #62: disj( #37, input ), references = 1, size of lhs = 1:
% 0.84/1.03 #-{F} V0 | equal_points-{T}(V0,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #64: disj( #18, input ), references = 1, size of lhs = 1:
% 0.84/1.03 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #66: disj( #41, input ), references = 1, size of lhs = 1:
% 0.84/1.03 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #68: disj( #18, input ), references = 2, size of lhs = 1:
% 0.84/1.03 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #71: disj( #18, input ), references = 1, size of lhs = 1:
% 0.84/1.03 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #73: disj( #39, input ), references = 1, size of lhs = 1:
% 0.84/1.03 #-{F} V0 | equal_lines-{T}(V0,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #79: exists( #51, #74 ), references = 1, size of lhs = 3:
% 0.84/1.03 pppp0-{F}(V0,V1), P_intersection_point-{F}(V1,V0,V2), P_parallel_through_point-{F}(V1,V3,V0) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #80: exists( #51, #75 ), references = 1, size of lhs = 3:
% 0.84/1.03 pppp0-{F}(V0,V1), parallel_lines-{F}(V0,V1), P_intersection_point-{F}(V1,V0,V2) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #83: exists( #51, #77 ), references = 1, size of lhs = 2:
% 0.84/1.03 pppp0-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #84: exists( #51, #78 ), references = 1, size of lhs = 2:
% 0.84/1.03 pppp0-{F}(V0,V1), parallel_lines-{F}(V0,V1) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #86: disj( #41, input ), references = 1, size of lhs = 1:
% 0.84/1.03 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #88: disj( #43, input ), references = 1, size of lhs = 1:
% 0.84/1.03 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #91: disj( #12, input ), references = 1, size of lhs = 2:
% 0.84/1.03 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #92: disj( #12, input ), references = 1, size of lhs = 2:
% 0.84/1.03 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #97: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 0.84/1.03 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #98: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 0.84/1.03 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #100: disj( #11, input ), references = 3, size of lhs = 2:
% 0.84/1.03 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #105: disj( #43, #100+#16 ), references = 1, size of lhs = 2:
% 0.84/1.03 equal_points-{F}(V0,V1), P_parallel_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #106: disj( #43, #100+#42 ), references = 1, size of lhs = 2:
% 0.84/1.03 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #108: disj( #4, input ), references = 3, size of lhs = 2:
% 0.84/1.03 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #117: exists( #52, #113 ), references = 2, size of lhs = 1:
% 0.84/1.03 apart_point_and_line-{F}(V0,V1) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #120: disj( #43, exists( #52, #113 ) ), references = 1, size of lhs = 2:
% 0.84/1.03 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #122: disj( #13, input ), references = 5, size of lhs = 2:
% 0.84/1.03 convergent_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #127: disj( #39, #121+#2 ), references = 1, size of lhs = 1:
% 0.84/1.03 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #128: disj( #39, #121+#40 ), references = 1, size of lhs = 2:
% 0.84/1.03 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #133: disj( #39, #108+#1 ), references = 1, size of lhs = 1:
% 0.84/1.03 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #134: disj( #39, #108+#38 ), references = 1, size of lhs = 2:
% 0.84/1.03 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #141: disj( #18, #122+#2 ), references = 1, size of lhs = 1:
% 0.84/1.03 equal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #142: disj( #18, #122+#40 ), references = 1, size of lhs = 2:
% 0.84/1.03 equal_lines-{F}(V0,V1), parallel_lines-{F}(V2,V1) | unorthogonal_lines-{T}(V2,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #144: disj( #41, exists( #51, #78 ) ), references = 1, size of lhs = 1:
% 0.84/1.03 pppp0-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #146: disj( #45, input ), references = 1, size of lhs = 1:
% 0.84/1.03 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #148: disj( #3, input ), references = 1, size of lhs = 2:
% 0.84/1.03 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #153: disj( #37, #147+#0 ), references = 2, size of lhs = 1:
% 0.84/1.03 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #154: disj( #37, #147+#36 ), references = 2, size of lhs = 2:
% 0.84/1.03 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #161: disj( #41, #122+#2 ), references = 1, size of lhs = 1:
% 0.84/1.03 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #162: disj( #41, #122+#40 ), references = 1, size of lhs = 2:
% 0.84/1.03 equal_lines-{F}(V0,V1), parallel_lines-{F}(V2,V1) | parallel_lines-{T}(V2,V0)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #166: disj( #37, #153+#154+#48 ), references = 1, size of lhs = 4:
% 0.84/1.03 pppp0-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V0,V3), equal_points-{F}(V3,V4) | distinct_points-{T}(V4,V2)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #168: disj( #37, input ), references = 1, size of lhs = 3:
% 0.84/1.03 pppp0-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V0,V3) | distinct_points-{T}(V2,V3)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #187: disj( #10, exists( #52, #113 ), exists( #52, #113 ), exists( #52, #113 ) ), references = 1, size of lhs = 2:
% 0.84/1.03 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #196: exists( #51, #191 ), references = 1, size of lhs = 3:
% 0.84/1.03 pppp0-{F}(V0,V1), P_intersection_point-{F}(V1,V0,V2), distinct_lines-{F}(V3,V4) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #199: exists( #51, #194 ), references = 1, size of lhs = 2:
% 0.84/1.03 pppp0-{F}(V0,V1), distinct_lines-{F}(V2,V3) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #201: exists( #47, #197 ), references = 1, size of lhs = 2:
% 0.84/1.03 pppp1-{F}(V0), distinct_lines-{F}(V1,V2) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #205: exists( #53, #203 ), references = 1, size of lhs = 1:
% 0.84/1.03 pppp1-{F}(V0) | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 #207: exists( #46, #204 ), references = 1, size of lhs = 0:
% 0.84/1.03 FALSE | FALSE
% 0.84/1.03 (used 0 times, uses = {})
% 0.84/1.03
% 0.84/1.03 number of learnt formulas = 44
% 0.84/1.03
% 0.84/1.03
% 0.84/1.03 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.03
% 0.84/1.03 randbase = 1
%------------------------------------------------------------------------------