%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO185+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 0.93s 1.09s
% Output : Refutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO185+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Jul 22 18:21:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.93/1.09 GeoParameters:
% 0.93/1.09
% 0.93/1.09 tptp_input = 1
% 0.93/1.09 tptp_output = 0
% 0.93/1.09 nonempty = 1
% 0.93/1.09 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.09 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.93/1.09
% 0.93/1.09
% 0.93/1.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.09 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.09
% 0.93/1.09 RuleSystem INPUT:
% 0.93/1.09
% 0.93/1.09 Initial Rules:
% 0.93/1.09 #0: input, references = 4, size of lhs = 1:
% 0.93/1.09 distinct_points-{F}(V0,V0) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #1: input, references = 5, size of lhs = 1:
% 0.93/1.09 distinct_lines-{F}(V0,V0) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #2: input, references = 3, size of lhs = 1:
% 0.93/1.09 convergent_lines-{F}(V0,V0) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #3: input, references = 4, size of lhs = 2:
% 0.93/1.09 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #4: input, references = 4, size of lhs = 2:
% 0.93/1.09 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #5: input, references = 3, size of lhs = 2:
% 0.93/1.09 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #6: input, references = 3, size of lhs = 3:
% 0.93/1.09 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #7: input, references = 3, size of lhs = 3:
% 0.93/1.09 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #8: input, references = 3, size of lhs = 3:
% 0.93/1.09 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #9: input, references = 3, size of lhs = 3:
% 0.93/1.09 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #10: input, references = 4, size of lhs = 2:
% 0.93/1.09 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)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #11: input, references = 4, size of lhs = 2:
% 0.93/1.09 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #12: input, references = 4, size of lhs = 2:
% 0.93/1.09 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #13: input, references = 4, size of lhs = 2:
% 0.93/1.09 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #14: input, references = 5, size of lhs = 1:
% 0.93/1.09 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #15: input, references = 5, size of lhs = 2:
% 0.93/1.09 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #16: input, references = 4, size of lhs = 2:
% 0.93/1.09 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #17: input, references = 3, size of lhs = 2:
% 0.93/1.09 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)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #18: input, references = 7, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #19: input, references = 3, size of lhs = 3:
% 0.93/1.09 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #20: input, references = 4, size of lhs = 3:
% 0.93/1.09 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #21: input, references = 3, size of lhs = 3:
% 0.93/1.09 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #22: input, references = 3, size of lhs = 3:
% 0.93/1.09 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #23: input, references = 5, size of lhs = 2:
% 0.93/1.09 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #24: input, references = 3, size of lhs = 2:
% 0.93/1.09 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #25: input, references = 3, size of lhs = 3:
% 0.93/1.09 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)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #26: input, references = 3, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #27: input, references = 3, size of lhs = 3:
% 0.93/1.09 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #28: input, references = 3, size of lhs = 3:
% 0.93/1.09 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #29: input, references = 3, size of lhs = 3:
% 0.93/1.09 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #30: input, references = 3, size of lhs = 3:
% 0.93/1.09 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #31: input, references = 3, size of lhs = 2:
% 0.93/1.09 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #32: input, references = 3, size of lhs = 4:
% 0.93/1.09 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #33: input, references = 3, size of lhs = 4:
% 0.93/1.09 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #34: input, references = 3, size of lhs = 3:
% 0.93/1.09 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #35: input, references = 3, size of lhs = 3:
% 0.93/1.09 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #36: input, references = 4, size of lhs = 2:
% 0.93/1.09 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #37: input, references = 6, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #38: input, references = 6, size of lhs = 2:
% 0.93/1.09 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #39: input, references = 6, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #40: input, references = 5, size of lhs = 2:
% 0.93/1.09 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #41: input, references = 7, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #42: input, references = 4, size of lhs = 2:
% 0.93/1.09 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #43: input, references = 6, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #44: input, references = 5, size of lhs = 2:
% 0.93/1.09 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #45: input, references = 6, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #46: input, references = 4, size of lhs = 0:
% 0.93/1.09 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #47: input, references = 4, size of lhs = 1:
% 0.93/1.09 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #48: input, references = 4, size of lhs = 2:
% 0.93/1.09 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V3,V0,V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #49: input, references = 5, size of lhs = 2:
% 0.93/1.09 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #50: input, references = 3, size of lhs = 1:
% 0.93/1.09 pppp1-{F}(V0,V1,V2,V3) | EXISTS V4: pppp0-{T}(V0,V4)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #51: input, references = 4, size of lhs = 3:
% 0.93/1.09 pppp1-{F}(V0,V1,V2,V3), incident_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #52: input, references = 4, size of lhs = 1:
% 0.93/1.09 pppp1-{F}(V0,V1,V2,V3) | equal_points-{T}(V0,V3)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #53: input, references = 3, size of lhs = 1:
% 0.93/1.09 pppp0-{F}(V0,V1) | distinct_points-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #54: input, references = 3, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #55: input, references = 5, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #56: input, references = 4, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #57: input, references = 3, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 number of initial rules = 58
% 0.93/1.09
% 0.93/1.09 Simplifiers:
% 0.93/1.09 #58: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #59: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #60: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #61: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #62: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #63: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #64: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #65: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #66: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #67: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #68: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #69: unsound, references = 3, size of lhs = 3:
% 0.93/1.09 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 number of simplifiers = 12
% 0.93/1.09
% 0.93/1.09 Learnt:
% 0.93/1.09 #71: disj( #37, input ), references = 1, size of lhs = 1:
% 0.93/1.09 #-{F} V0 | equal_points-{T}(V0,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #73: disj( #18, input ), references = 1, size of lhs = 1:
% 0.93/1.09 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #75: disj( #41, input ), references = 1, size of lhs = 1:
% 0.93/1.09 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #77: disj( #18, input ), references = 1, size of lhs = 1:
% 0.93/1.09 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #80: disj( #18, input ), references = 1, size of lhs = 1:
% 0.93/1.09 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #82: disj( #39, input ), references = 1, size of lhs = 1:
% 0.93/1.09 #-{F} V0 | equal_lines-{T}(V0,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #87: exists( #55, #83 ), references = 1, size of lhs = 2:
% 0.93/1.09 pppp2-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #88: exists( #55, #84 ), references = 1, size of lhs = 2:
% 0.93/1.09 pppp2-{F}(V0,V1), parallel_lines-{F}(V0,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #90: disj( #41, input ), references = 1, size of lhs = 1:
% 0.93/1.09 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #92: disj( #43, input ), references = 1, size of lhs = 1:
% 0.93/1.09 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #95: disj( #12, input ), references = 1, size of lhs = 2:
% 0.93/1.09 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #96: disj( #12, input ), references = 1, size of lhs = 2:
% 0.93/1.09 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #101: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 0.93/1.09 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #102: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 0.93/1.09 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #104: disj( #11, input ), references = 3, size of lhs = 2:
% 0.93/1.09 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #109: disj( #43, #104+#16 ), references = 1, size of lhs = 2:
% 0.93/1.09 equal_points-{F}(V0,V1), P_parallel_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #110: disj( #43, #104+#42 ), references = 2, size of lhs = 2:
% 0.93/1.09 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #112: disj( #4, input ), references = 3, size of lhs = 2:
% 0.93/1.09 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #121: exists( #56, #117 ), references = 2, size of lhs = 1:
% 0.93/1.09 apart_point_and_line-{F}(V0,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #124: disj( #43, exists( #56, #117 ) ), references = 3, size of lhs = 2:
% 0.93/1.09 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #127: disj( #13, input ), references = 3, size of lhs = 1:
% 0.93/1.09 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #128: disj( #13, input ), references = 1, size of lhs = 2:
% 0.93/1.09 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #133: disj( #39, #112+#1 ), references = 1, size of lhs = 1:
% 0.93/1.09 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #134: disj( #39, #112+#38 ), references = 1, size of lhs = 2:
% 0.93/1.09 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #137: disj( #18, #127+#38 ), references = 1, size of lhs = 1:
% 0.93/1.09 equal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #139: disj( #41, exists( #55, #84 ) ), references = 1, size of lhs = 1:
% 0.93/1.09 pppp2-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #141: disj( #45, input ), references = 1, size of lhs = 1:
% 0.93/1.09 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #143: disj( #3, input ), references = 1, size of lhs = 2:
% 0.93/1.09 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #148: disj( #37, #142+#0 ), references = 1, size of lhs = 1:
% 0.93/1.09 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #149: disj( #37, #142+#36 ), references = 1, size of lhs = 2:
% 0.93/1.09 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #153: disj( #20, input ), references = 3, size of lhs = 2:
% 0.93/1.09 unorthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #154: disj( #20, input ), references = 3, size of lhs = 3:
% 0.93/1.09 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | unorthogonal_lines-{T}(V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #155: disj( #20, input ), references = 1, size of lhs = 3:
% 0.93/1.09 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unorthogonal_lines-{T}(V1,V2)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #160: disj( #45, #150+#23 ), references = 1, size of lhs = 2:
% 0.93/1.09 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #161: disj( #45, #150+#44 ), references = 1, size of lhs = 2:
% 0.93/1.09 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V0) | orthogonal_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #180: disj( #10, exists( #56, #117 ), exists( #56, #117 ), exists( #56, #117 ) ), references = 1, size of lhs = 2:
% 0.93/1.09 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #187: disj( #37, #162+#121 ), references = 1, size of lhs = 3:
% 0.93/1.09 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #190: disj( #41, #127+#38 ), references = 1, size of lhs = 1:
% 0.93/1.09 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #197: disj( #45, #153+#154+#23 ), references = 1, size of lhs = 4:
% 0.93/1.09 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | orthogonal_lines-{T}(V1,V0)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #198: disj( #45, #153+#154+#44 ), references = 1, size of lhs = 4:
% 0.93/1.09 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), parallel_lines-{F}(V1,V2), orthogonal_lines-{F}(V0,V2) | orthogonal_lines-{T}(V0,V1)
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #203: exists( #48, #201 ), references = 2, size of lhs = 3:
% 0.93/1.09 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), incident_point_and_line-{F}(V2,V0) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #206: exists( #55, #204 ), references = 1, size of lhs = 1:
% 0.93/1.09 pppp2-{F}(V0,V1) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #208: exists( #47, #205 ), references = 1, size of lhs = 1:
% 0.93/1.09 pppp3-{F}(V0) | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 #210: exists( #46, #207 ), references = 1, size of lhs = 0:
% 0.93/1.09 FALSE | FALSE
% 0.93/1.09 (used 0 times, uses = {})
% 0.93/1.09
% 0.93/1.09 number of learnt formulas = 44
% 0.93/1.09
% 0.93/1.09
% 0.93/1.09 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.09
% 0.93/1.09 randbase = 1
%------------------------------------------------------------------------------