TSTP Solution File: GEO170+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 1.38s 1.57s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Jul 22 18:41:45 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.38/1.57 GeoParameters:
% 1.38/1.57
% 1.38/1.57 tptp_input = 1
% 1.38/1.57 tptp_output = 0
% 1.38/1.57 nonempty = 1
% 1.38/1.57 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.57 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.38/1.57
% 1.38/1.57
% 1.38/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.57
% 1.38/1.57 RuleSystem INPUT:
% 1.38/1.57
% 1.38/1.57 Initial Rules:
% 1.38/1.57 #0: input, references = 4, size of lhs = 1:
% 1.38/1.57 distinct_points-{F}(V0,V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #1: input, references = 5, size of lhs = 1:
% 1.38/1.57 distinct_lines-{F}(V0,V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #2: input, references = 3, size of lhs = 1:
% 1.38/1.57 convergent_lines-{F}(V0,V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #3: input, references = 4, size of lhs = 2:
% 1.38/1.57 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #4: input, references = 4, size of lhs = 2:
% 1.38/1.57 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #5: input, references = 3, size of lhs = 2:
% 1.38/1.57 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #6: input, references = 3, size of lhs = 3:
% 1.38/1.57 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #7: input, references = 3, size of lhs = 3:
% 1.38/1.57 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #8: input, references = 4, size of lhs = 3:
% 1.38/1.57 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #9: input, references = 3, size of lhs = 3:
% 1.38/1.57 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #10: input, references = 4, size of lhs = 2:
% 1.38/1.57 distinct_lines-{F}(V0,V1), distinct_points-{F}(V3,V2) | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), apart_point_and_line-{T}(V3,V0), apart_point_and_line-{T}(V3,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #11: input, references = 4, size of lhs = 2:
% 1.38/1.57 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #12: input, references = 4, size of lhs = 2:
% 1.38/1.57 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #13: input, references = 4, size of lhs = 2:
% 1.38/1.57 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #14: input, references = 5, size of lhs = 1:
% 1.38/1.57 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #15: input, references = 5, size of lhs = 2:
% 1.38/1.57 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #16: input, references = 3, size of lhs = 2:
% 1.38/1.57 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #17: input, references = 3, size of lhs = 2:
% 1.38/1.57 distinct_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #18: input, references = 7, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #19: input, references = 3, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #20: input, references = 4, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #21: input, references = 3, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #22: input, references = 3, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #23: input, references = 3, size of lhs = 2:
% 1.38/1.57 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #24: input, references = 4, size of lhs = 2:
% 1.38/1.57 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #25: input, references = 3, size of lhs = 3:
% 1.38/1.57 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1), unorthogonal_lines-{T}(V0,V3), unorthogonal_lines-{T}(V1,V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #26: input, references = 3, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #27: input, references = 3, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #28: input, references = 3, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #29: input, references = 3, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #30: input, references = 3, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #31: input, references = 3, size of lhs = 2:
% 1.38/1.57 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #32: input, references = 3, size of lhs = 4:
% 1.38/1.57 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #33: input, references = 3, size of lhs = 4:
% 1.38/1.57 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #34: input, references = 3, size of lhs = 3:
% 1.38/1.57 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #35: input, references = 3, size of lhs = 3:
% 1.38/1.57 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #36: input, references = 7, size of lhs = 2:
% 1.38/1.57 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #37: input, references = 6, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #38: input, references = 6, size of lhs = 2:
% 1.38/1.57 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #39: input, references = 7, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #40: input, references = 5, size of lhs = 2:
% 1.38/1.57 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #41: input, references = 6, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #42: input, references = 4, size of lhs = 2:
% 1.38/1.57 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #43: input, references = 10, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #44: input, references = 3, size of lhs = 2:
% 1.38/1.57 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #45: input, references = 5, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #46: input, references = 4, size of lhs = 0:
% 1.38/1.57 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #47: input, references = 4, size of lhs = 1:
% 1.38/1.57 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #48: input, references = 4, size of lhs = 1:
% 1.38/1.57 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #49: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp1-{F}(V0,V1) | incident_point_and_line-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #50: input, references = 3, size of lhs = 3:
% 1.38/1.57 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), equal_lines-{F}(V2,V3) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #51: input, references = 3, size of lhs = 2:
% 1.38/1.57 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | incident_point_and_line-{T}(V0,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #52: input, references = 4, size of lhs = 2:
% 1.38/1.57 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_points-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #53: input, references = 4, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #54: input, references = 3, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #55: input, references = 4, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #56: input, references = 4, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 number of initial rules = 57
% 1.38/1.57
% 1.38/1.57 Simplifiers:
% 1.38/1.57 #57: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #58: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #59: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #60: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #61: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #62: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #63: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #64: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #65: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #66: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 number of simplifiers = 10
% 1.38/1.57
% 1.38/1.57 Learnt:
% 1.38/1.57 #68: disj( #37, input ), references = 1, size of lhs = 1:
% 1.38/1.57 #-{F} V0 | equal_points-{T}(V0,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #70: disj( #18, input ), references = 1, size of lhs = 1:
% 1.38/1.57 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #72: disj( #41, input ), references = 1, size of lhs = 1:
% 1.38/1.57 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #74: disj( #18, input ), references = 2, size of lhs = 1:
% 1.38/1.57 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #77: disj( #18, input ), references = 1, size of lhs = 1:
% 1.38/1.57 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #79: disj( #39, input ), references = 1, size of lhs = 1:
% 1.38/1.57 #-{F} V0 | equal_lines-{T}(V0,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #81: disj( #45, input ), references = 1, size of lhs = 1:
% 1.38/1.57 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #83: disj( #11, input ), references = 3, size of lhs = 2:
% 1.38/1.57 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V2,V1) | distinct_points-{T}(V0,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #85: disj( #43, input ), references = 1, size of lhs = 1:
% 1.38/1.57 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #88: disj( #43, #83+#36 ), references = 1, size of lhs = 2:
% 1.38/1.57 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #93: disj( #43, #83+#36 ), references = 1, size of lhs = 2:
% 1.38/1.57 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #95: disj( #12, input ), references = 2, size of lhs = 2:
% 1.38/1.57 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #100: disj( #39, #94+#24 ), references = 1, size of lhs = 2:
% 1.38/1.57 apart_point_and_line-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #101: disj( #39, #94+#42 ), references = 3, size of lhs = 2:
% 1.38/1.57 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #103: disj( #43, input ), references = 1, size of lhs = 2:
% 1.38/1.57 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #105: disj( #41, input ), references = 1, size of lhs = 1:
% 1.38/1.57 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #107: disj( #43, input ), references = 1, size of lhs = 1:
% 1.38/1.57 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #112: disj( #39, #14+#15 ), references = 2, size of lhs = 1:
% 1.38/1.57 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #113: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 1.38/1.57 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #120: disj( #43, #101+#38 ), references = 1, size of lhs = 2:
% 1.38/1.57 incident_point_and_line-{F}(V0,V1), equal_lines-{F}(V2,V1) | incident_point_and_line-{T}(V0,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #121: disj( #43, #95+#8 ), references = 1, size of lhs = 3:
% 1.38/1.57 equal_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3) | incident_point_and_line-{T}(V3,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #123: disj( #4, input ), references = 3, size of lhs = 2:
% 1.38/1.57 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #134: exists( #55, #130 ), references = 2, size of lhs = 1:
% 1.38/1.57 apart_point_and_line-{F}(V0,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #137: disj( #43, exists( #55, #130 ) ), references = 1, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #140: disj( #13, input ), references = 3, size of lhs = 1:
% 1.38/1.57 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #141: disj( #13, input ), references = 1, size of lhs = 2:
% 1.38/1.57 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #146: disj( #39, #123+#1 ), references = 1, size of lhs = 1:
% 1.38/1.57 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #147: disj( #39, #123+#38 ), references = 1, size of lhs = 2:
% 1.38/1.57 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #149: disj( #3, input ), references = 1, size of lhs = 2:
% 1.38/1.57 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #154: disj( #37, #148+#0 ), references = 4, size of lhs = 1:
% 1.38/1.57 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #155: disj( #37, #148+#36 ), references = 3, size of lhs = 2:
% 1.38/1.57 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #158: disj( #41, #140+#38 ), references = 1, size of lhs = 1:
% 1.38/1.57 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #171: disj( #10, exists( #55, #130 ), exists( #55, #130 ), exists( #55, #130 ) ), references = 1, size of lhs = 2:
% 1.38/1.57 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #178: disj( #37, #159+#134 ), references = 4, size of lhs = 3:
% 1.38/1.57 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #180: disj( #18, input ), references = 1, size of lhs = 1:
% 1.38/1.57 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #183: disj( #20, input ), references = 1, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #184: disj( #20, input ), references = 1, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #189: disj( #45, #181+#15 ), references = 1, size of lhs = 3:
% 1.38/1.57 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)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #190: disj( #45, #181+#40 ), references = 1, size of lhs = 3:
% 1.38/1.57 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | orthogonal_lines-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #195: exists( #53, #193 ), references = 2, size of lhs = 2:
% 1.38/1.57 equal_points-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #200: exists( #48, #198 ), references = 1, size of lhs = 3:
% 1.38/1.57 pppp1-{F}(V0,V1), equal_points-{F}(V0,V2), distinct_lines-{F}(V3,V4) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #202: exists( #47, #199 ), references = 1, size of lhs = 3:
% 1.38/1.57 pppp2-{F}(V0), equal_points-{F}(V0,V1), distinct_lines-{F}(V2,V3) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #211: exists( #56, #209 ), references = 1, size of lhs = 1:
% 1.38/1.57 pppp2-{F}(V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #213: exists( #46, #210 ), references = 1, size of lhs = 0:
% 1.38/1.57 FALSE | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 number of learnt formulas = 44
% 1.38/1.57
% 1.38/1.57
% 1.38/1.57 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.57
% 1.38/1.57 randbase = 1
%------------------------------------------------------------------------------