%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO183+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:01:55 EDT 2022
% Result : Theorem 0.92s 1.14s
% Output : Refutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO183+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 18:13:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.92/1.14 GeoParameters:
% 0.92/1.14
% 0.92/1.14 tptp_input = 1
% 0.92/1.14 tptp_output = 0
% 0.92/1.14 nonempty = 1
% 0.92/1.14 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.14 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.92/1.14
% 0.92/1.14
% 0.92/1.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.14
% 0.92/1.14 RuleSystem INPUT:
% 0.92/1.14
% 0.92/1.14 Initial Rules:
% 0.92/1.14 #0: input, references = 3, size of lhs = 1:
% 0.92/1.14 distinct_points-{F}(V0,V0) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #1: input, references = 5, size of lhs = 1:
% 0.92/1.14 distinct_lines-{F}(V0,V0) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #2: input, references = 7, size of lhs = 1:
% 0.92/1.14 convergent_lines-{F}(V0,V0) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #3: input, references = 3, size of lhs = 2:
% 0.92/1.14 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #4: input, references = 4, size of lhs = 2:
% 0.92/1.14 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #5: input, references = 4, size of lhs = 2:
% 0.92/1.14 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #6: input, references = 3, size of lhs = 3:
% 0.92/1.14 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #7: input, references = 3, size of lhs = 3:
% 0.92/1.14 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #8: input, references = 3, size of lhs = 3:
% 0.92/1.14 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #9: input, references = 3, size of lhs = 3:
% 0.92/1.14 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #10: input, references = 4, size of lhs = 2:
% 0.92/1.14 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)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #11: input, references = 4, size of lhs = 2:
% 0.92/1.14 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #12: input, references = 4, size of lhs = 2:
% 0.92/1.14 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #13: input, references = 4, size of lhs = 2:
% 0.92/1.14 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #14: input, references = 8, size of lhs = 1:
% 0.92/1.14 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #15: input, references = 7, size of lhs = 2:
% 0.92/1.14 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #16: input, references = 4, size of lhs = 2:
% 0.92/1.14 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #17: input, references = 3, size of lhs = 2:
% 0.92/1.14 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)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #18: input, references = 7, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #19: input, references = 3, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #20: input, references = 4, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #21: input, references = 3, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #22: input, references = 3, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #23: input, references = 3, size of lhs = 2:
% 0.92/1.14 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #24: input, references = 4, size of lhs = 2:
% 0.92/1.14 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #25: input, references = 3, size of lhs = 3:
% 0.92/1.14 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)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #26: input, references = 3, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #27: input, references = 3, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #28: input, references = 3, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #29: input, references = 3, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #30: input, references = 3, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #31: input, references = 3, size of lhs = 2:
% 0.92/1.14 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #32: input, references = 3, size of lhs = 4:
% 0.92/1.14 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #33: input, references = 3, size of lhs = 4:
% 0.92/1.14 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #34: input, references = 3, size of lhs = 3:
% 0.92/1.14 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #35: input, references = 3, size of lhs = 3:
% 0.92/1.14 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #36: input, references = 5, size of lhs = 2:
% 0.92/1.14 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #37: input, references = 5, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #38: input, references = 6, size of lhs = 2:
% 0.92/1.14 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #39: input, references = 7, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #40: input, references = 8, size of lhs = 2:
% 0.92/1.14 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #41: input, references = 6, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #42: input, references = 3, size of lhs = 2:
% 0.92/1.14 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #43: input, references = 8, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #44: input, references = 3, size of lhs = 2:
% 0.92/1.14 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #45: input, references = 5, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #46: input, references = 4, size of lhs = 0:
% 0.92/1.14 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #47: input, references = 4, size of lhs = 1:
% 0.92/1.14 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #48: input, references = 3, size of lhs = 1:
% 0.92/1.14 pppp3-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #49: input, references = 4, size of lhs = 1:
% 0.92/1.14 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V2,V1,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #50: input, references = 4, size of lhs = 4:
% 0.92/1.14 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), incident_point_and_line-{F}(V0,V2), incident_point_and_line-{F}(V1,V2) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #51: input, references = 3, size of lhs = 2:
% 0.92/1.14 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | equal_lines-{T}(V2,V3)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #52: input, references = 3, size of lhs = 2:
% 0.92/1.14 pppp1-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_points-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #53: input, references = 3, size of lhs = 1:
% 0.92/1.14 pppp0-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #54: input, references = 4, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #55: input, references = 3, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #56: input, references = 4, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #57: input, references = 3, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 number of initial rules = 58
% 0.92/1.14
% 0.92/1.14 Simplifiers:
% 0.92/1.14 #58: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #59: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #60: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #61: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #62: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #63: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #64: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #65: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V2), V1 == V4 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #66: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #67: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #68: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #69: unsound, references = 3, size of lhs = 3:
% 0.92/1.14 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 number of simplifiers = 12
% 0.92/1.14
% 0.92/1.14 Learnt:
% 0.92/1.14 #71: disj( #37, input ), references = 1, size of lhs = 1:
% 0.92/1.14 #-{F} V0 | equal_points-{T}(V0,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #73: disj( #18, input ), references = 1, size of lhs = 1:
% 0.92/1.14 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #75: disj( #41, input ), references = 1, size of lhs = 1:
% 0.92/1.14 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #78: disj( #18, input ), references = 1, size of lhs = 1:
% 0.92/1.14 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #82: disj( #41, input ), references = 1, size of lhs = 1:
% 0.92/1.14 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #89: disj( #18, input ), references = 1, size of lhs = 1:
% 0.92/1.14 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #90: disj( #18, input ), references = 1, size of lhs = 1:
% 0.92/1.14 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #97: disj( #39, #14+#15 ), references = 2, size of lhs = 1:
% 0.92/1.14 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #98: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 0.92/1.14 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #100: disj( #43, input ), references = 1, size of lhs = 1:
% 0.92/1.14 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #102: disj( #45, input ), references = 1, size of lhs = 1:
% 0.92/1.14 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #104: disj( #11, input ), references = 2, size of lhs = 2:
% 0.92/1.14 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #107: disj( #43, #103+#36 ), references = 2, size of lhs = 2:
% 0.92/1.14 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #114: disj( #43, #107+#24 ), references = 1, size of lhs = 2:
% 0.92/1.14 equal_points-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #115: disj( #43, #104+#36 ), references = 1, size of lhs = 2:
% 0.92/1.14 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #117: disj( #4, input ), references = 3, size of lhs = 2:
% 0.92/1.14 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #122: disj( #39, #116+#1 ), references = 1, size of lhs = 1:
% 0.92/1.14 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #123: disj( #39, #116+#38 ), references = 1, size of lhs = 2:
% 0.92/1.14 distinct_lines-{F}(V0,V1), equal_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #128: disj( #39, #117+#1 ), references = 1, size of lhs = 1:
% 0.92/1.14 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #129: disj( #39, #117+#38 ), references = 1, size of lhs = 2:
% 0.92/1.14 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #134: disj( #12, input ), references = 1, size of lhs = 2:
% 0.92/1.14 apart_point_and_line-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #135: disj( #12, input ), references = 2, size of lhs = 2:
% 0.92/1.14 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #141: disj( #43, #135+#38 ), references = 1, size of lhs = 2:
% 0.92/1.14 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #146: exists( #56, #144 ), references = 2, size of lhs = 1:
% 0.92/1.14 apart_point_and_line-{F}(V0,V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #148: disj( #43, exists( #56, #144 ) ), references = 3, size of lhs = 2:
% 0.92/1.14 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #153: disj( #20, input ), references = 7, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #154: disj( #20, input ), references = 1, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #164: disj( #39, #14+#151+#2 ), references = 1, size of lhs = 2:
% 0.92/1.14 unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | equal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #165: disj( #39, #14+#151+#40 ), references = 1, size of lhs = 3:
% 0.92/1.14 unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | equal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #166: disj( #39, #14+#151+#15 ), references = 1, size of lhs = 3:
% 0.92/1.14 unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V2,V4,V0) | equal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #173: disj( #41, #153+#2 ), references = 1, size of lhs = 2:
% 0.92/1.14 unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | parallel_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #174: disj( #41, #153+#40 ), references = 1, size of lhs = 3:
% 0.92/1.14 unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | parallel_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #175: disj( #41, #153+#15 ), references = 1, size of lhs = 3:
% 0.92/1.14 unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V2,V4,V0) | parallel_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #177: disj( #5, input ), references = 1, size of lhs = 2:
% 0.92/1.14 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #184: disj( #18, #170+#176+#2 ), references = 1, size of lhs = 2:
% 0.92/1.14 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V1,V2,V0) | convergent_lines-{T}(V1,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #185: disj( #18, #170+#176+#40 ), references = 1, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V1,V3,V2) | convergent_lines-{T}(V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #194: disj( #45, #153+#2 ), references = 1, size of lhs = 2:
% 0.92/1.14 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #195: disj( #45, #153+#40 ), references = 1, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | orthogonal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #196: disj( #45, #153+#15 ), references = 1, size of lhs = 3:
% 0.92/1.14 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V2,V4,V0) | orthogonal_lines-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #200: disj( #13, input ), references = 1, size of lhs = 1:
% 0.92/1.14 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #201: disj( #13, input ), references = 1, size of lhs = 2:
% 0.92/1.14 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #202: disj( #13, input ), references = 1, size of lhs = 2:
% 0.92/1.14 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | distinct_lines-{T}(V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #215: disj( #10, exists( #56, #144 ), exists( #56, #144 ), exists( #56, #144 ) ), references = 1, size of lhs = 2:
% 0.92/1.14 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #222: disj( #37, #203+#146 ), references = 1, size of lhs = 3:
% 0.92/1.14 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #224: exists( #54, #50 ), references = 2, size of lhs = 3:
% 0.92/1.14 incident_point_and_line-{F}(V0,V1), pppp1-{F}(V0,V2,V1), incident_point_and_line-{F}(V2,V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #227: exists( #49, #225 ), references = 2, size of lhs = 2:
% 0.92/1.14 pppp2-{F}(V0,V1), incident_point_and_line-{F}(V1,V0) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #230: exists( #47, #228 ), references = 1, size of lhs = 1:
% 0.92/1.14 pppp3-{F}(V0) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #232: exists( #46, #229 ), references = 1, size of lhs = 0:
% 0.92/1.14 FALSE | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 number of learnt formulas = 48
% 0.92/1.14
% 0.92/1.14
% 0.92/1.14 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.14
% 0.92/1.14 randbase = 1
%------------------------------------------------------------------------------