%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:02:06 EDT 2022
% Result : Theorem 1.86s 2.04s
% Output : Refutation 1.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n028.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 17:46:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.86/2.04 GeoParameters:
% 1.86/2.04
% 1.86/2.04 tptp_input = 1
% 1.86/2.04 tptp_output = 0
% 1.86/2.04 nonempty = 1
% 1.86/2.04 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.86/2.04 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.86/2.04
% 1.86/2.04
% 1.86/2.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.86/2.04 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.86/2.04
% 1.86/2.04 RuleSystem INPUT:
% 1.86/2.04
% 1.86/2.04 Initial Rules:
% 1.86/2.04 #0: input, references = 5, size of lhs = 1:
% 1.86/2.04 distinct_points-{F}(V0,V0) | FALSE
% 1.86/2.04 (used 0 times, uses = {})
% 1.86/2.04
% 1.86/2.04 #1: input, references = 5, size of lhs = 1:
% 1.86/2.04 distinct_lines-{F}(V0,V0) | FALSE
% 1.86/2.04 (used 0 times, uses = {})
% 1.86/2.04
% 1.86/2.04 #2: input, references = 3, size of lhs = 1:
% 1.86/2.04 convergent_lines-{F}(V0,V0) | FALSE
% 1.86/2.04 (used 0 times, uses = {})
% 1.86/2.04
% 1.86/2.04 #3: input, references = 4, size of lhs = 2:
% 1.86/2.04 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.86/2.04 (used 0 times, uses = {})
% 1.86/2.04
% 1.86/2.04 #4: input, references = 4, size of lhs = 2:
% 1.86/2.04 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #5: input, references = 4, size of lhs = 2:
% 1.88/2.04 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #6: input, references = 3, size of lhs = 3:
% 1.88/2.04 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #7: input, references = 3, size of lhs = 3:
% 1.88/2.04 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #8: input, references = 5, size of lhs = 3:
% 1.88/2.04 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #9: input, references = 4, size of lhs = 3:
% 1.88/2.04 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #10: input, references = 4, size of lhs = 2:
% 1.88/2.04 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)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #11: input, references = 4, size of lhs = 2:
% 1.88/2.04 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #12: input, references = 4, size of lhs = 2:
% 1.88/2.04 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #13: input, references = 4, size of lhs = 2:
% 1.88/2.04 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #14: input, references = 6, size of lhs = 1:
% 1.88/2.04 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #15: input, references = 5, size of lhs = 2:
% 1.88/2.04 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #16: input, references = 4, size of lhs = 2:
% 1.88/2.04 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #17: input, references = 3, size of lhs = 2:
% 1.88/2.04 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)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #18: input, references = 6, size of lhs = 2:
% 1.88/2.04 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #19: input, references = 3, size of lhs = 3:
% 1.88/2.04 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #20: input, references = 4, size of lhs = 3:
% 1.88/2.04 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #21: input, references = 3, size of lhs = 3:
% 1.88/2.04 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #22: input, references = 3, size of lhs = 3:
% 1.88/2.04 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #23: input, references = 4, size of lhs = 2:
% 1.88/2.04 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #24: input, references = 3, size of lhs = 2:
% 1.88/2.04 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #25: input, references = 3, size of lhs = 3:
% 1.88/2.04 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)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #26: input, references = 3, size of lhs = 2:
% 1.88/2.04 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #27: input, references = 3, size of lhs = 3:
% 1.88/2.04 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #28: input, references = 3, size of lhs = 3:
% 1.88/2.04 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #29: input, references = 3, size of lhs = 3:
% 1.88/2.04 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #30: input, references = 3, size of lhs = 3:
% 1.88/2.04 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #31: input, references = 4, size of lhs = 2:
% 1.88/2.04 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #32: input, references = 3, size of lhs = 4:
% 1.88/2.04 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #33: input, references = 3, size of lhs = 4:
% 1.88/2.04 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #34: input, references = 3, size of lhs = 3:
% 1.88/2.04 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #35: input, references = 3, size of lhs = 3:
% 1.88/2.04 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #36: input, references = 4, size of lhs = 2:
% 1.88/2.04 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #37: input, references = 8, size of lhs = 2:
% 1.88/2.04 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #38: input, references = 7, size of lhs = 2:
% 1.88/2.04 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #39: input, references = 8, size of lhs = 2:
% 1.88/2.04 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #40: input, references = 5, size of lhs = 2:
% 1.88/2.04 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #41: input, references = 6, size of lhs = 2:
% 1.88/2.04 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #42: input, references = 4, size of lhs = 2:
% 1.88/2.04 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #43: input, references = 8, size of lhs = 2:
% 1.88/2.04 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #44: input, references = 6, size of lhs = 2:
% 1.88/2.04 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #45: input, references = 6, size of lhs = 2:
% 1.88/2.04 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #46: input, references = 4, size of lhs = 0:
% 1.88/2.04 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #47: input, references = 4, size of lhs = 1:
% 1.88/2.04 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #48: input, references = 4, size of lhs = 1:
% 1.88/2.04 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #49: input, references = 4, size of lhs = 1:
% 1.88/2.04 pppp1-{F}(V0,V1) | orthogonal_lines-{T}(V0,V1)
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #50: input, references = 4, size of lhs = 3:
% 1.88/2.04 pppp0-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V1,V2,V3), equal_lines-{F}(V0,V3) | FALSE
% 1.88/2.04 (used 0 times, uses = {})
% 1.88/2.04
% 1.88/2.04 #51: input, references = 3, size of lhs = 2:
% 1.88/2.04 pppp0-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V1,V2,V3) | incident_point_and_line-{T}(V2,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #52: input, references = 3, size of lhs = 2:
% 1.88/2.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #53: input, references = 3, size of lhs = 2:
% 1.88/2.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #54: input, references = 4, size of lhs = 2:
% 1.88/2.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #55: input, references = 4, size of lhs = 2:
% 1.88/2.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 number of initial rules = 56
% 1.88/2.05
% 1.88/2.05 Simplifiers:
% 1.88/2.05 #56: unsound, references = 3, size of lhs = 3:
% 1.88/2.05 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #57: unsound, references = 3, size of lhs = 3:
% 1.88/2.05 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #58: unsound, references = 3, size of lhs = 3:
% 1.88/2.05 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #59: unsound, references = 3, size of lhs = 3:
% 1.88/2.05 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #60: unsound, references = 3, size of lhs = 3:
% 1.88/2.05 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #61: unsound, references = 3, size of lhs = 3:
% 1.88/2.05 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V5), V1 == V4 | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #62: unsound, references = 3, size of lhs = 3:
% 1.88/2.05 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #63: unsound, references = 3, size of lhs = 3:
% 1.88/2.05 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #64: unsound, references = 3, size of lhs = 3:
% 1.88/2.05 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #65: unsound, references = 3, size of lhs = 3:
% 1.88/2.05 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 number of simplifiers = 10
% 1.88/2.05
% 1.88/2.05 Learnt:
% 1.88/2.05 #67: disj( #37, input ), references = 1, size of lhs = 1:
% 1.88/2.05 #-{F} V0 | equal_points-{T}(V0,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #69: disj( #18, input ), references = 1, size of lhs = 1:
% 1.88/2.05 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #71: disj( #41, input ), references = 1, size of lhs = 1:
% 1.88/2.05 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #74: disj( #18, input ), references = 2, size of lhs = 1:
% 1.88/2.05 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #75: disj( #18, input ), references = 2, size of lhs = 1:
% 1.88/2.05 orthogonal_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #81: disj( #18, input ), references = 1, size of lhs = 1:
% 1.88/2.05 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #84: disj( #39, input ), references = 1, size of lhs = 1:
% 1.88/2.05 #-{F} V0 | equal_lines-{T}(V0,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #87: disj( #41, input ), references = 1, size of lhs = 1:
% 1.88/2.05 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #93: disj( #39, #14+#15 ), references = 2, size of lhs = 1:
% 1.88/2.05 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #94: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 1.88/2.05 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #96: disj( #43, input ), references = 1, size of lhs = 1:
% 1.88/2.05 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #100: disj( #12, input ), references = 1, size of lhs = 2:
% 1.88/2.05 apart_point_and_line-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #101: disj( #12, input ), references = 3, size of lhs = 2:
% 1.88/2.05 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #102: disj( #12, input ), references = 1, size of lhs = 3:
% 1.88/2.05 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #106: disj( #43, input ), references = 1, size of lhs = 1:
% 1.88/2.05 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #107: disj( #43, input ), references = 1, size of lhs = 2:
% 1.88/2.05 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V0,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #109: disj( #11, input ), references = 4, size of lhs = 2:
% 1.88/2.05 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #112: disj( #43, #101+#38 ), references = 1, size of lhs = 2:
% 1.88/2.05 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #117: disj( #43, #111+#8 ), references = 1, size of lhs = 3:
% 1.88/2.05 equal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3) | incident_point_and_line-{T}(V3,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #118: disj( #43, #111+#9 ), references = 1, size of lhs = 3:
% 1.88/2.05 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), equal_lines-{F}(V3,V1) | incident_point_and_line-{T}(V2,V3)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #120: disj( #45, input ), references = 1, size of lhs = 1:
% 1.88/2.05 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #127: disj( #37, #109+#42 ), references = 1, size of lhs = 2:
% 1.88/2.05 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #128: disj( #37, #109+#8 ), references = 1, size of lhs = 3:
% 1.88/2.05 apart_point_and_line-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3) | distinct_points-{T}(V0,V3)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #129: disj( #37, #109+#16 ), references = 1, size of lhs = 2:
% 1.88/2.05 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | distinct_points-{T}(V0,V3)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #131: disj( #4, input ), references = 3, size of lhs = 2:
% 1.88/2.05 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #142: exists( #54, #138 ), references = 2, size of lhs = 1:
% 1.88/2.05 apart_point_and_line-{F}(V0,V1) | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #145: disj( #43, exists( #54, #138 ) ), references = 1, size of lhs = 2:
% 1.88/2.05 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #149: disj( #5, input ), references = 5, size of lhs = 1:
% 1.88/2.05 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #150: disj( #5, input ), references = 1, size of lhs = 2:
% 1.88/2.05 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #155: disj( #39, #131+#1 ), references = 2, size of lhs = 1:
% 1.88/2.05 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #156: disj( #39, #131+#38 ), references = 1, size of lhs = 2:
% 1.88/2.05 distinct_lines-{F}(V0,V1), equal_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #158: disj( #31, input ), references = 2, size of lhs = 2:
% 1.88/2.05 orthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #161: disj( #45, #157+#44 ), references = 1, size of lhs = 2:
% 1.88/2.05 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V2,V1) | unorthogonal_lines-{T}(V2,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #164: disj( #13, input ), references = 2, size of lhs = 1:
% 1.88/2.05 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #165: disj( #13, input ), references = 1, size of lhs = 2:
% 1.88/2.05 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #168: disj( #3, input ), references = 2, size of lhs = 2:
% 1.88/2.05 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #173: disj( #37, #167+#0 ), references = 1, size of lhs = 1:
% 1.88/2.05 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #174: disj( #37, #167+#36 ), references = 1, size of lhs = 2:
% 1.88/2.05 distinct_points-{F}(V0,V1), equal_points-{F}(V0,V2) | distinct_points-{T}(V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #195: disj( #39, #155+#38 ), references = 1, size of lhs = 1:
% 1.88/2.05 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #200: disj( #37, #168+#0 ), references = 1, size of lhs = 1:
% 1.88/2.05 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #207: disj( #41, #149+#15 ), references = 1, size of lhs = 1:
% 1.88/2.05 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #208: disj( #41, #164+#38 ), references = 1, size of lhs = 1:
% 1.88/2.05 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #209: disj( #41, #149+#40 ), references = 1, size of lhs = 1:
% 1.88/2.05 parallel_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #228: disj( #10, exists( #54, #138 ), exists( #54, #138 ), exists( #54, #138 ) ), references = 1, size of lhs = 2:
% 1.88/2.05 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #235: disj( #37, #210+#142 ), references = 1, size of lhs = 3:
% 1.88/2.05 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #241: disj( #20, input ), references = 1, size of lhs = 2:
% 1.88/2.05 unorthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #242: disj( #20, input ), references = 1, size of lhs = 3:
% 1.88/2.05 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | unorthogonal_lines-{T}(V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #243: disj( #20, input ), references = 1, size of lhs = 3:
% 1.88/2.05 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unorthogonal_lines-{T}(V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #248: disj( #45, #238+#23 ), references = 2, size of lhs = 2:
% 1.88/2.05 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #249: disj( #45, #238+#44 ), references = 2, size of lhs = 2:
% 1.88/2.05 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V0) | orthogonal_lines-{T}(V0,V1)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #255: disj( #39, #14+#158+#44 ), references = 2, size of lhs = 2:
% 1.88/2.05 orthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V0,V2) | equal_lines-{T}(V1,V2)
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #261: exists( #55, #259 ), references = 1, size of lhs = 2:
% 1.88/2.05 orthogonal_lines-{F}(V0,V1), pppp0-{F}(V1,V0,V2) | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #263: exists( #48, #260 ), references = 2, size of lhs = 2:
% 1.88/2.05 pppp1-{F}(V0,V1), orthogonal_lines-{F}(V1,V0) | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #270: exists( #47, #268 ), references = 1, size of lhs = 1:
% 1.88/2.05 pppp2-{F}(V0) | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 #272: exists( #46, #269 ), references = 1, size of lhs = 0:
% 1.88/2.05 FALSE | FALSE
% 1.88/2.05 (used 0 times, uses = {})
% 1.88/2.05
% 1.88/2.05 number of learnt formulas = 55
% 1.88/2.05
% 1.88/2.05
% 1.88/2.05 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.88/2.05
% 1.88/2.05 randbase = 1
%------------------------------------------------------------------------------