%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:02:05 EDT 2022
% Result : Theorem 0.84s 1.00s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33 % Computer : n007.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri Jul 22 18:02:57 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.84/1.00 GeoParameters:
% 0.84/1.00
% 0.84/1.00 tptp_input = 1
% 0.84/1.00 tptp_output = 0
% 0.84/1.00 nonempty = 1
% 0.84/1.00 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.00 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.84/1.00
% 0.84/1.00
% 0.84/1.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.00 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.00
% 0.84/1.00 RuleSystem INPUT:
% 0.84/1.00
% 0.84/1.00 Initial Rules:
% 0.84/1.00 #0: input, references = 4, size of lhs = 1:
% 0.84/1.00 distinct_points-{F}(V0,V0) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #1: input, references = 3, size of lhs = 1:
% 0.84/1.00 distinct_lines-{F}(V0,V0) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #2: input, references = 3, size of lhs = 1:
% 0.84/1.00 convergent_lines-{F}(V0,V0) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #3: input, references = 4, size of lhs = 2:
% 0.84/1.00 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #4: input, references = 3, size of lhs = 2:
% 0.84/1.00 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #5: input, references = 4, size of lhs = 2:
% 0.84/1.00 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #6: input, references = 3, size of lhs = 3:
% 0.84/1.00 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #7: input, references = 3, size of lhs = 3:
% 0.84/1.00 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #8: input, references = 3, size of lhs = 3:
% 0.84/1.00 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #9: input, references = 3, size of lhs = 3:
% 0.84/1.00 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #10: input, references = 3, size of lhs = 2:
% 0.84/1.00 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)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #11: input, references = 3, size of lhs = 2:
% 0.84/1.00 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #12: input, references = 4, size of lhs = 2:
% 0.84/1.00 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #13: input, references = 4, size of lhs = 2:
% 0.84/1.00 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #14: input, references = 7, size of lhs = 1:
% 0.84/1.00 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #15: input, references = 6, size of lhs = 2:
% 0.84/1.00 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #16: input, references = 4, size of lhs = 2:
% 0.84/1.00 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #17: input, references = 3, size of lhs = 2:
% 0.84/1.00 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)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #18: input, references = 7, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #19: input, references = 3, size of lhs = 3:
% 0.84/1.00 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #20: input, references = 3, size of lhs = 3:
% 0.84/1.00 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #21: input, references = 3, size of lhs = 3:
% 0.84/1.00 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #22: input, references = 3, size of lhs = 3:
% 0.84/1.00 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #23: input, references = 3, size of lhs = 2:
% 0.84/1.00 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #24: input, references = 3, size of lhs = 2:
% 0.84/1.00 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #25: input, references = 3, size of lhs = 3:
% 0.84/1.00 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)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #26: input, references = 3, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #27: input, references = 3, size of lhs = 3:
% 0.84/1.00 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #28: input, references = 3, size of lhs = 3:
% 0.84/1.00 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #29: input, references = 3, size of lhs = 3:
% 0.84/1.00 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #30: input, references = 3, size of lhs = 3:
% 0.84/1.00 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #31: input, references = 3, size of lhs = 2:
% 0.84/1.00 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #32: input, references = 3, size of lhs = 4:
% 0.84/1.00 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #33: input, references = 3, size of lhs = 4:
% 0.84/1.00 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #34: input, references = 3, size of lhs = 3:
% 0.84/1.00 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #35: input, references = 3, size of lhs = 3:
% 0.84/1.00 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #36: input, references = 4, size of lhs = 2:
% 0.84/1.00 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #37: input, references = 5, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #38: input, references = 5, size of lhs = 2:
% 0.84/1.00 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #39: input, references = 8, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #40: input, references = 6, size of lhs = 2:
% 0.84/1.00 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #41: input, references = 7, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #42: input, references = 3, size of lhs = 2:
% 0.84/1.00 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #43: input, references = 5, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #44: input, references = 3, size of lhs = 2:
% 0.84/1.00 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #45: input, references = 4, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #46: input, references = 4, size of lhs = 0:
% 0.84/1.00 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #47: input, references = 4, size of lhs = 1:
% 0.84/1.00 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #48: input, references = 4, size of lhs = 1:
% 0.84/1.00 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V2,V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #49: input, references = 3, size of lhs = 2:
% 0.84/1.00 pppp2-{F}(V0,V1), equal_lines-{F}(V0,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #50: input, references = 3, size of lhs = 1:
% 0.84/1.00 pppp1-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V1,V2,V3)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #51: input, references = 4, size of lhs = 1:
% 0.84/1.00 pppp1-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #52: input, references = 4, size of lhs = 1:
% 0.84/1.00 pppp1-{F}(V0,V1,V2) | parallel_lines-{T}(V1,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #53: input, references = 3, size of lhs = 1:
% 0.84/1.00 pppp0-{F}(V0,V1,V2,V3) | incident_point_and_line-{T}(V3,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #54: input, references = 3, size of lhs = 1:
% 0.84/1.00 pppp0-{F}(V0,V1,V2,V3) | incident_point_and_line-{T}(V3,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #55: input, references = 3, size of lhs = 1:
% 0.84/1.00 pppp0-{F}(V0,V1,V2,V3) | apart_point_and_line-{T}(V3,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #56: input, references = 3, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #57: input, references = 3, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #58: input, references = 4, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #59: input, references = 3, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 number of initial rules = 60
% 0.84/1.00
% 0.84/1.00 Simplifiers:
% 0.84/1.00 #60: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #61: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #62: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #63: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #64: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #65: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #66: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #67: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #68: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #69: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #70: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #71: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #72: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #73: unsound, references = 3, size of lhs = 3:
% 0.84/1.00 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 number of simplifiers = 14
% 0.84/1.00
% 0.84/1.00 Learnt:
% 0.84/1.00 #75: disj( #37, input ), references = 1, size of lhs = 1:
% 0.84/1.00 #-{F} V0 | equal_points-{T}(V0,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #77: disj( #18, input ), references = 1, size of lhs = 1:
% 0.84/1.00 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #79: disj( #41, input ), references = 1, size of lhs = 1:
% 0.84/1.00 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #81: disj( #18, input ), references = 1, size of lhs = 1:
% 0.84/1.00 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #84: disj( #18, input ), references = 1, size of lhs = 1:
% 0.84/1.00 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #86: disj( #39, input ), references = 1, size of lhs = 1:
% 0.84/1.00 #-{F} V0 | equal_lines-{T}(V0,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #88: disj( #39, input ), references = 2, size of lhs = 1:
% 0.84/1.00 pppp2-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #92: disj( #43, input ), references = 1, size of lhs = 1:
% 0.84/1.00 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #97: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 0.84/1.00 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #100: disj( #5, input ), references = 4, size of lhs = 1:
% 0.84/1.00 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #101: disj( #5, input ), references = 2, size of lhs = 2:
% 0.84/1.00 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | convergent_lines-{T}(V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #104: disj( #18, #100+#15 ), references = 1, size of lhs = 1:
% 0.84/1.00 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V0,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #106: disj( #41, input ), references = 1, size of lhs = 1:
% 0.84/1.00 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #111: disj( #41, #100+#15 ), references = 1, size of lhs = 1:
% 0.84/1.00 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V0,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #112: disj( #41, #100+#40 ), references = 1, size of lhs = 1:
% 0.84/1.00 parallel_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #115: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 0.84/1.00 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #117: disj( #12, input ), references = 1, size of lhs = 2:
% 0.84/1.00 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #127: exists( #58, #122 ), references = 1, size of lhs = 1:
% 0.84/1.00 apart_point_and_line-{F}(V0,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #130: disj( #43, exists( #58, #122 ) ), references = 1, size of lhs = 2:
% 0.84/1.00 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #134: disj( #13, input ), references = 3, size of lhs = 1:
% 0.84/1.00 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #135: disj( #13, input ), references = 1, size of lhs = 2:
% 0.84/1.00 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #136: disj( #13, input ), references = 1, size of lhs = 2:
% 0.84/1.00 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | distinct_lines-{T}(V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #138: disj( #45, input ), references = 1, size of lhs = 1:
% 0.84/1.00 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #140: disj( #3, input ), references = 1, size of lhs = 2:
% 0.84/1.00 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #145: disj( #37, #139+#0 ), references = 1, size of lhs = 1:
% 0.84/1.00 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #146: disj( #37, #139+#36 ), references = 1, size of lhs = 2:
% 0.84/1.00 distinct_points-{F}(V0,V1), equal_points-{F}(V0,V2) | distinct_points-{T}(V1,V2)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #150: disj( #39, #14+#134+#38 ), references = 1, size of lhs = 1:
% 0.84/1.00 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #153: disj( #41, #134+#38 ), references = 1, size of lhs = 1:
% 0.84/1.00 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #161: exists( #48, #159 ), references = 1, size of lhs = 2:
% 0.84/1.00 pppp2-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #165: exists( #47, #163 ), references = 1, size of lhs = 1:
% 0.84/1.00 pppp3-{F}(V0) | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 #167: exists( #46, #164 ), references = 1, size of lhs = 0:
% 0.84/1.00 FALSE | FALSE
% 0.84/1.00 (used 0 times, uses = {})
% 0.84/1.00
% 0.84/1.00 number of learnt formulas = 31
% 0.84/1.00
% 0.84/1.00
% 0.84/1.00 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.00
% 0.84/1.00 randbase = 1
%------------------------------------------------------------------------------