TSTP Solution File: GEO171+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO171+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:01:50 EDT 2022
% Result : Theorem 0.68s 0.85s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO171+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 18:22:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/0.85 GeoParameters:
% 0.68/0.85
% 0.68/0.85 tptp_input = 1
% 0.68/0.85 tptp_output = 0
% 0.68/0.85 nonempty = 1
% 0.68/0.85 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.85 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.68/0.85
% 0.68/0.85
% 0.68/0.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.85 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.85
% 0.68/0.85 RuleSystem INPUT:
% 0.68/0.85
% 0.68/0.85 Initial Rules:
% 0.68/0.85 #0: input, references = 3, size of lhs = 1:
% 0.68/0.85 distinct_points-{F}(V0,V0) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #1: input, references = 5, size of lhs = 1:
% 0.68/0.85 distinct_lines-{F}(V0,V0) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #2: input, references = 3, size of lhs = 1:
% 0.68/0.85 convergent_lines-{F}(V0,V0) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #3: input, references = 3, size of lhs = 2:
% 0.68/0.85 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #4: input, references = 4, size of lhs = 2:
% 0.68/0.85 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #5: input, references = 3, size of lhs = 2:
% 0.68/0.85 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #6: input, references = 4, size of lhs = 3:
% 0.68/0.85 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #7: input, references = 3, size of lhs = 3:
% 0.68/0.85 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #8: input, references = 3, size of lhs = 3:
% 0.68/0.85 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #9: input, references = 3, size of lhs = 3:
% 0.68/0.85 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #10: input, references = 3, size of lhs = 2:
% 0.68/0.85 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)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #11: input, references = 4, size of lhs = 2:
% 0.68/0.85 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #12: input, references = 4, size of lhs = 2:
% 0.68/0.85 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #13: input, references = 4, size of lhs = 2:
% 0.68/0.85 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #14: input, references = 4, size of lhs = 1:
% 0.68/0.85 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #15: input, references = 3, size of lhs = 2:
% 0.68/0.85 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #16: input, references = 4, size of lhs = 2:
% 0.68/0.85 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #17: input, references = 3, size of lhs = 2:
% 0.68/0.85 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)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #18: input, references = 6, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #19: input, references = 3, size of lhs = 3:
% 0.68/0.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #20: input, references = 3, size of lhs = 3:
% 0.68/0.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #21: input, references = 3, size of lhs = 3:
% 0.68/0.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #22: input, references = 3, size of lhs = 3:
% 0.68/0.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #23: input, references = 3, size of lhs = 2:
% 0.68/0.85 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #24: input, references = 4, size of lhs = 2:
% 0.68/0.85 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #25: input, references = 3, size of lhs = 3:
% 0.68/0.85 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)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #26: input, references = 3, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #27: input, references = 3, size of lhs = 3:
% 0.68/0.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #28: input, references = 3, size of lhs = 3:
% 0.68/0.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #29: input, references = 3, size of lhs = 3:
% 0.68/0.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #30: input, references = 3, size of lhs = 3:
% 0.68/0.85 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #31: input, references = 3, size of lhs = 2:
% 0.68/0.85 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #32: input, references = 3, size of lhs = 4:
% 0.68/0.85 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #33: input, references = 3, size of lhs = 4:
% 0.68/0.85 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #34: input, references = 3, size of lhs = 3:
% 0.68/0.85 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #35: input, references = 3, size of lhs = 3:
% 0.68/0.85 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #36: input, references = 4, size of lhs = 2:
% 0.68/0.85 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #37: input, references = 4, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #38: input, references = 3, size of lhs = 2:
% 0.68/0.85 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #39: input, references = 8, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #40: input, references = 4, size of lhs = 2:
% 0.68/0.85 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #41: input, references = 5, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #42: input, references = 4, size of lhs = 2:
% 0.68/0.85 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #43: input, references = 6, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #44: input, references = 3, size of lhs = 2:
% 0.68/0.85 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #45: input, references = 4, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #46: input, references = 4, size of lhs = 0:
% 0.68/0.85 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #47: input, references = 4, size of lhs = 1:
% 0.68/0.85 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #48: input, references = 3, size of lhs = 2:
% 0.68/0.85 pppp0-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #49: input, references = 4, size of lhs = 1:
% 0.68/0.85 pppp0-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #50: input, references = 3, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #51: input, references = 3, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #52: input, references = 4, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #53: input, references = 3, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 number of initial rules = 54
% 0.68/0.85
% 0.68/0.85 Simplifiers:
% 0.68/0.85 #54: unsound, references = 3, size of lhs = 3:
% 0.68/0.85 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #55: unsound, references = 3, size of lhs = 3:
% 0.68/0.85 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #56: unsound, references = 3, size of lhs = 3:
% 0.68/0.85 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #57: unsound, references = 3, size of lhs = 3:
% 0.68/0.85 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #58: unsound, references = 3, size of lhs = 3:
% 0.68/0.85 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #59: unsound, references = 3, size of lhs = 3:
% 0.68/0.85 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #60: unsound, references = 3, size of lhs = 3:
% 0.68/0.85 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 number of simplifiers = 7
% 0.68/0.85
% 0.68/0.85 Learnt:
% 0.68/0.85 #62: disj( #37, input ), references = 1, size of lhs = 1:
% 0.68/0.85 #-{F} V0 | equal_points-{T}(V0,V0)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #64: disj( #18, input ), references = 1, size of lhs = 1:
% 0.68/0.85 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #66: disj( #41, input ), references = 1, size of lhs = 1:
% 0.68/0.85 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #69: disj( #18, input ), references = 1, size of lhs = 1:
% 0.68/0.85 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #75: disj( #18, input ), references = 1, size of lhs = 1:
% 0.68/0.85 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #80: disj( #39, input ), references = 1, size of lhs = 1:
% 0.68/0.85 #-{F} V0 | equal_lines-{T}(V0,V0)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #84: disj( #45, input ), references = 1, size of lhs = 1:
% 0.68/0.85 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #86: disj( #43, input ), references = 1, size of lhs = 1:
% 0.68/0.85 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #90: disj( #39, input ), references = 2, size of lhs = 1:
% 0.68/0.85 pppp0-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #92: disj( #41, input ), references = 1, size of lhs = 1:
% 0.68/0.85 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #95: disj( #11, input ), references = 1, size of lhs = 2:
% 0.68/0.85 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #96: disj( #11, input ), references = 1, size of lhs = 2:
% 0.68/0.85 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | distinct_points-{T}(V0,V3)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #99: disj( #43, #93+#36 ), references = 1, size of lhs = 2:
% 0.68/0.85 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #102: disj( #39, #14+#40 ), references = 2, size of lhs = 1:
% 0.68/0.85 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #104: disj( #12, input ), references = 3, size of lhs = 2:
% 0.68/0.85 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #109: disj( #39, #103+#24 ), references = 1, size of lhs = 2:
% 0.68/0.85 apart_point_and_line-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #110: disj( #39, #103+#42 ), references = 1, size of lhs = 2:
% 0.68/0.85 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #115: disj( #39, #104+#16 ), references = 1, size of lhs = 2:
% 0.68/0.85 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #116: disj( #39, #104+#6 ), references = 1, size of lhs = 3:
% 0.68/0.85 apart_point_and_line-{F}(V0,V1), distinct_points-{F}(V0,V2), P_line_connecting-{F}(V0,V2,V3) | distinct_lines-{T}(V1,V3)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #120: disj( #4, input ), references = 2, size of lhs = 2:
% 0.68/0.85 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #131: exists( #52, #127 ), references = 1, size of lhs = 1:
% 0.68/0.85 apart_point_and_line-{F}(V0,V1) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #134: disj( #43, exists( #52, #127 ) ), references = 1, size of lhs = 2:
% 0.68/0.85 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #137: disj( #13, input ), references = 2, size of lhs = 1:
% 0.68/0.85 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #138: disj( #13, input ), references = 1, size of lhs = 2:
% 0.68/0.85 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #152: exists( #47, #148 ), references = 1, size of lhs = 1:
% 0.68/0.85 pppp1-{F}(V0) | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 #155: exists( #46, #150 ), references = 1, size of lhs = 0:
% 0.68/0.85 FALSE | FALSE
% 0.68/0.85 (used 0 times, uses = {})
% 0.68/0.85
% 0.68/0.85 number of learnt formulas = 26
% 0.68/0.85
% 0.68/0.85
% 0.68/0.85 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.85
% 0.68/0.85 randbase = 1
%------------------------------------------------------------------------------