TSTP Solution File: GEO190+3 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO190+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:01:58 EDT 2022
% Result : Theorem 5.73s 5.94s
% Output : Refutation 5.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO190+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 17:46:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.73/5.94 GeoParameters:
% 5.73/5.94
% 5.73/5.94 tptp_input = 1
% 5.73/5.94 tptp_output = 0
% 5.73/5.94 nonempty = 1
% 5.73/5.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.73/5.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.73/5.94
% 5.73/5.94
% 5.73/5.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.73/5.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.73/5.94
% 5.73/5.94 RuleSystem INPUT:
% 5.73/5.94
% 5.73/5.94 Initial Rules:
% 5.73/5.94 #0: input, references = 4, size of lhs = 1:
% 5.73/5.94 distinct_points-{F}(V0,V0) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #1: input, references = 3, size of lhs = 1:
% 5.73/5.94 distinct_lines-{F}(V0,V0) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #2: input, references = 4, size of lhs = 1:
% 5.73/5.94 convergent_lines-{F}(V0,V0) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #3: input, references = 4, size of lhs = 2:
% 5.73/5.94 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #4: input, references = 3, size of lhs = 2:
% 5.73/5.94 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #5: input, references = 3, size of lhs = 2:
% 5.73/5.94 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #6: input, references = 8, size of lhs = 3:
% 5.73/5.94 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #7: input, references = 5, size of lhs = 3:
% 5.73/5.94 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #8: input, references = 3, size of lhs = 3:
% 5.73/5.94 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #9: input, references = 3, size of lhs = 3:
% 5.73/5.94 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #10: input, references = 4, size of lhs = 2:
% 5.73/5.94 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)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #11: input, references = 4, size of lhs = 2:
% 5.73/5.94 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #12: input, references = 4, size of lhs = 2:
% 5.73/5.94 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #13: input, references = 4, size of lhs = 2:
% 5.73/5.94 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #14: input, references = 9, size of lhs = 1:
% 5.73/5.94 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #15: input, references = 7, size of lhs = 2:
% 5.73/5.94 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #16: input, references = 4, size of lhs = 2:
% 5.73/5.94 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #17: input, references = 3, size of lhs = 2:
% 5.73/5.94 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)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #18: input, references = 10, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #19: input, references = 3, size of lhs = 3:
% 5.73/5.94 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #20: input, references = 3, size of lhs = 3:
% 5.73/5.94 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #21: input, references = 3, size of lhs = 3:
% 5.73/5.94 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #22: input, references = 3, size of lhs = 3:
% 5.73/5.94 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #23: input, references = 3, size of lhs = 2:
% 5.73/5.94 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #24: input, references = 4, size of lhs = 2:
% 5.73/5.94 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #25: input, references = 3, size of lhs = 3:
% 5.73/5.94 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)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #26: input, references = 3, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #27: input, references = 3, size of lhs = 3:
% 5.73/5.94 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #28: input, references = 3, size of lhs = 3:
% 5.73/5.94 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #29: input, references = 3, size of lhs = 3:
% 5.73/5.94 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #30: input, references = 3, size of lhs = 3:
% 5.73/5.94 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #31: input, references = 3, size of lhs = 2:
% 5.73/5.94 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #32: input, references = 3, size of lhs = 4:
% 5.73/5.94 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #33: input, references = 3, size of lhs = 4:
% 5.73/5.94 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #34: input, references = 3, size of lhs = 3:
% 5.73/5.94 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #35: input, references = 3, size of lhs = 3:
% 5.73/5.94 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #36: input, references = 6, size of lhs = 2:
% 5.73/5.94 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #37: input, references = 7, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #38: input, references = 5, size of lhs = 2:
% 5.73/5.94 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #39: input, references = 9, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #40: input, references = 5, size of lhs = 2:
% 5.73/5.94 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #41: input, references = 5, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #42: input, references = 6, size of lhs = 2:
% 5.73/5.94 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #43: input, references = 12, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #44: input, references = 3, size of lhs = 2:
% 5.73/5.94 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #45: input, references = 4, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #46: input, references = 4, size of lhs = 0:
% 5.73/5.94 FALSE | EXISTS V0: pppp2-{T}(V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #47: input, references = 4, size of lhs = 1:
% 5.73/5.94 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #48: input, references = 3, size of lhs = 1:
% 5.73/5.94 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #49: input, references = 4, size of lhs = 1:
% 5.73/5.94 pppp1-{F}(V0,V1) | distinct_points-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #50: input, references = 3, size of lhs = 4:
% 5.73/5.94 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_line_connecting-{F}(V1,V0,V4), incident_point_and_line-{F}(V2,V4) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #51: input, references = 5, size of lhs = 3:
% 5.73/5.94 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_line_connecting-{F}(V1,V0,V4) | incident_point_and_line-{T}(V2,V3)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #52: input, references = 5, size of lhs = 3:
% 5.73/5.94 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_line_connecting-{F}(V1,V0,V4) | distinct_points-{T}(V0,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #53: input, references = 4, size of lhs = 3:
% 5.73/5.94 pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V3), P_line_connecting-{F}(V1,V0,V4) | distinct_points-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #54: input, references = 11, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #55: input, references = 3, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #56: input, references = 4, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #57: input, references = 4, size of lhs = 2:
% 5.73/5.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 number of initial rules = 58
% 5.73/5.94
% 5.73/5.94 Simplifiers:
% 5.73/5.94 #58: unsound, references = 3, size of lhs = 3:
% 5.73/5.94 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #59: unsound, references = 3, size of lhs = 3:
% 5.73/5.94 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #60: unsound, references = 3, size of lhs = 3:
% 5.73/5.94 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #61: unsound, references = 3, size of lhs = 3:
% 5.73/5.94 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #62: unsound, references = 3, size of lhs = 3:
% 5.73/5.94 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #63: unsound, references = 3, size of lhs = 3:
% 5.73/5.94 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #64: unsound, references = 3, size of lhs = 3:
% 5.73/5.94 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #65: unsound, references = 3, size of lhs = 3:
% 5.73/5.94 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #66: unsound, references = 3, size of lhs = 3:
% 5.73/5.94 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #67: unsound, references = 3, size of lhs = 3:
% 5.73/5.94 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 number of simplifiers = 10
% 5.73/5.94
% 5.73/5.94 Learnt:
% 5.73/5.94 #69: disj( #37, input ), references = 2, size of lhs = 1:
% 5.73/5.94 #-{F} V0 | equal_points-{T}(V0,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #71: disj( #18, input ), references = 1, size of lhs = 1:
% 5.73/5.94 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #73: disj( #41, input ), references = 1, size of lhs = 1:
% 5.73/5.94 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #75: disj( #18, input ), references = 2, size of lhs = 1:
% 5.73/5.94 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #80: disj( #18, input ), references = 1, size of lhs = 1:
% 5.73/5.94 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #84: disj( #43, input ), references = 1, size of lhs = 1:
% 5.73/5.94 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #86: disj( #39, input ), references = 3, size of lhs = 1:
% 5.73/5.94 #-{F} V0 | equal_lines-{T}(V0,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #88: disj( #43, input ), references = 1, size of lhs = 1:
% 5.73/5.94 P_orthogonal_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #90: disj( #13, input ), references = 5, size of lhs = 2:
% 5.73/5.94 convergent_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #97: disj( #39, #89+#2 ), references = 10, size of lhs = 1:
% 5.73/5.94 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #98: disj( #39, #89+#40 ), references = 3, size of lhs = 2:
% 5.73/5.94 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #99: disj( #39, #89+#15 ), references = 1, size of lhs = 2:
% 5.73/5.94 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | distinct_lines-{T}(V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #103: disj( #45, input ), references = 1, size of lhs = 1:
% 5.73/5.94 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #107: disj( #3, input ), references = 3, size of lhs = 2:
% 5.73/5.94 distinct_points-{F}(V0,V1), equal_points-{F}(V0,V2) | distinct_points-{T}(V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #110: disj( #37, #107+#36 ), references = 5, size of lhs = 2:
% 5.73/5.94 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V0,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #115: disj( #39, #14+#97+#14+#15 ), references = 2, size of lhs = 1:
% 5.73/5.94 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V0,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #118: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 5.73/5.94 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #121: disj( #41, #97+#38 ), references = 1, size of lhs = 1:
% 5.73/5.94 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #123: disj( #43, input ), references = 1, size of lhs = 2:
% 5.73/5.94 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #125: disj( #43, input ), references = 1, size of lhs = 2:
% 5.73/5.94 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #127: disj( #18, input ), references = 1, size of lhs = 1:
% 5.73/5.94 parallel_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #134: disj( #10, input, input, input ), references = 6, size of lhs = 5:
% 5.73/5.94 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), incident_point_and_line-{F}(V0,V2), distinct_lines-{F}(V2,V3), incident_point_and_line-{F}(V1,V3) | apart_point_and_line-{T}(V0,V3)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #135: disj( #10, input, input, input ), references = 1, size of lhs = 6:
% 5.73/5.94 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), incident_point_and_line-{F}(V0,V2), distinct_lines-{F}(V2,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V1) | apart_point_and_line-{T}(V0,V3)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #136: disj( #10, input, input, input ), references = 3, size of lhs = 6:
% 5.73/5.94 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), distinct_points-{F}(V3,V4), incident_point_and_line-{F}(V4,V0), incident_point_and_line-{F}(V4,V1) | apart_point_and_line-{T}(V3,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #150: disj( #43, #134+#7 ), references = 4, size of lhs = 6:
% 5.73/5.94 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), incident_point_and_line-{F}(V2,V3), distinct_lines-{F}(V3,V4), incident_point_and_line-{F}(V2,V4), P_line_connecting-{F}(V0,V1,V4) | apart_point_and_line-{T}(V1,V3)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #155: exists( #54, #151 ), references = 1, size of lhs = 2:
% 5.73/5.94 pppp0-{F}(V0,V1,V0), P_line_connecting-{F}(V1,V0,V2) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #156: exists( #54, #152 ), references = 1, size of lhs = 3:
% 5.73/5.94 equal_points-{F}(V0,V1), pppp0-{F}(V0,V2,V1), P_line_connecting-{F}(V2,V0,V3) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #159: exists( #54, #153 ), references = 1, size of lhs = 1:
% 5.73/5.94 pppp0-{F}(V0,V1,V0) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #160: exists( #54, #154 ), references = 2, size of lhs = 2:
% 5.73/5.94 equal_points-{F}(V0,V1), pppp0-{F}(V0,V2,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #175: disj( #11, input ), references = 1, size of lhs = 2:
% 5.73/5.94 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #176: disj( #11, input ), references = 1, size of lhs = 3:
% 5.73/5.94 apart_point_and_line-{F}(V0,V1), P_line_connecting-{F}(V0,V2,V3), apart_point_and_line-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #181: disj( #43, #173+#24 ), references = 1, size of lhs = 2:
% 5.73/5.94 equal_points-{F}(V0,V1), P_orthogonal_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #182: disj( #43, #173+#42 ), references = 1, size of lhs = 2:
% 5.73/5.94 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #237: disj( #18, #97+#150+#42 ), references = 1, size of lhs = 6:
% 5.73/5.94 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), incident_point_and_line-{F}(V2,V3), incident_point_and_line-{F}(V1,V3), incident_point_and_line-{F}(V2,V4), P_line_connecting-{F}(V0,V1,V4) | unorthogonal_lines-{T}(V4,V3)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #238: disj( #18, #97+#150+#6 ), references = 1, size of lhs = 7:
% 5.73/5.94 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), incident_point_and_line-{F}(V2,V3), incident_point_and_line-{F}(V2,V4), P_line_connecting-{F}(V0,V1,V4), distinct_points-{F}(V1,V5), P_line_connecting-{F}(V1,V5,V3) | unorthogonal_lines-{T}(V4,V3)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #240: disj( #43, input ), references = 3, size of lhs = 2:
% 5.73/5.94 distinct_points-{F}(V0,V1), P_line_connecting-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #285: disj( #18, #97+#134+#6 ), references = 1, size of lhs = 6:
% 5.73/5.94 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), incident_point_and_line-{F}(V0,V2), incident_point_and_line-{F}(V1,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V3) | unorthogonal_lines-{T}(V3,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #300: disj( #39, #136+#6 ), references = 1, size of lhs = 7:
% 5.73/5.94 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_points-{F}(V2,V3), incident_point_and_line-{F}(V3,V0), incident_point_and_line-{F}(V3,V4), distinct_points-{F}(V2,V5), P_line_connecting-{F}(V2,V5,V4) | equal_lines-{T}(V0,V4)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #301: disj( #39, #134+#42 ), references = 3, size of lhs = 5:
% 5.73/5.94 distinct_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), incident_point_and_line-{F}(V0,V2), incident_point_and_line-{F}(V1,V3), incident_point_and_line-{F}(V0,V3) | equal_lines-{T}(V2,V3)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #302: disj( #39, #136+#7 ), references = 1, size of lhs = 7:
% 5.73/5.94 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), incident_point_and_line-{F}(V2,V3), incident_point_and_line-{F}(V2,V4), P_line_connecting-{F}(V0,V1,V4), convergent_lines-{F}(V3,V5), P_intersection_point-{F}(V3,V5,V1) | equal_lines-{T}(V3,V4)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #307: exists( #54, #303 ), references = 1, size of lhs = 3:
% 5.73/5.94 equal_points-{F}(V0,V1), pppp0-{F}(V0,V1,V2), P_line_connecting-{F}(V1,V0,V3) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #309: exists( #54, #306 ), references = 1, size of lhs = 2:
% 5.73/5.94 equal_points-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #314: disj( #37, #110+#110+#110+#308 ), references = 1, size of lhs = 4:
% 5.73/5.94 equal_points-{F}(V0,V1), equal_points-{F}(V2,V3), equal_points-{F}(V3,V4), pppp0-{F}(V2,V0,V5) | distinct_points-{T}(V1,V4)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #317: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 5.73/5.94 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #326: exists( #54, #324 ), references = 1, size of lhs = 11:
% 5.73/5.94 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), incident_point_and_line-{F}(V3,V1), incident_point_and_line-{F}(V3,V2), distinct_points-{F}(V3,V4), incident_point_and_line-{F}(V4,V1), distinct_points-{F}(V5,V3), pppp0-{F}(V5,V3,V4), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V2), P_line_connecting-{F}(V3,V5,V7) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #328: exists( #54, #325 ), references = 1, size of lhs = 10:
% 5.73/5.94 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2), incident_point_and_line-{F}(V3,V1), incident_point_and_line-{F}(V3,V2), distinct_points-{F}(V3,V4), incident_point_and_line-{F}(V4,V1), distinct_points-{F}(V5,V3), pppp0-{F}(V5,V3,V4), distinct_points-{F}(V6,V5), P_line_connecting-{F}(V6,V5,V2) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #343: exists( #54, #341 ), references = 1, size of lhs = 11:
% 5.73/5.94 convergent_lines-{F}(V0,V1), equal_lines-{F}(V0,V2), incident_point_and_line-{F}(V3,V2), distinct_points-{F}(V3,V4), incident_point_and_line-{F}(V4,V1), incident_point_and_line-{F}(V4,V2), distinct_points-{F}(V3,V5), distinct_points-{F}(V5,V4), incident_point_and_line-{F}(V5,V1), pppp0-{F}(V3,V5,V4), P_line_connecting-{F}(V5,V3,V6) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #345: exists( #54, #342 ), references = 1, size of lhs = 10:
% 5.73/5.94 convergent_lines-{F}(V0,V1), equal_lines-{F}(V0,V2), incident_point_and_line-{F}(V3,V2), distinct_points-{F}(V3,V4), incident_point_and_line-{F}(V4,V1), incident_point_and_line-{F}(V4,V2), distinct_points-{F}(V3,V5), distinct_points-{F}(V5,V4), incident_point_and_line-{F}(V5,V1), pppp0-{F}(V3,V5,V4) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #347: disj( #43, exists( #54, #342 ) ), references = 1, size of lhs = 9:
% 5.73/5.94 convergent_lines-{F}(V0,V1), equal_lines-{F}(V0,V2), incident_point_and_line-{F}(V3,V1), distinct_points-{F}(V4,V3), distinct_points-{F}(V4,V5), incident_point_and_line-{F}(V5,V1), incident_point_and_line-{F}(V5,V2), distinct_points-{F}(V3,V5), pppp0-{F}(V4,V3,V5) | apart_point_and_line-{T}(V4,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #354: disj( #18, #90+#15 ), references = 1, size of lhs = 2:
% 5.73/5.94 equal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V3) | unorthogonal_lines-{T}(V3,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #355: disj( #18, #98+#38 ), references = 1, size of lhs = 2:
% 5.73/5.94 parallel_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | unorthogonal_lines-{T}(V0,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #358: disj( #37, #110+#160 ), references = 1, size of lhs = 2:
% 5.73/5.94 equal_points-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | distinct_points-{T}(V3,V1)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #366: disj( #12, input ), references = 2, size of lhs = 2:
% 5.73/5.94 apart_point_and_line-{F}(V0,V1), equal_lines-{F}(V1,V2) | apart_point_and_line-{T}(V0,V2)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #374: exists( #56, #369 ), references = 2, size of lhs = 1:
% 5.73/5.94 apart_point_and_line-{F}(V0,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #379: disj( #43, #365+#372 ), references = 4, size of lhs = 2:
% 5.73/5.94 equal_lines-{F}(V0,V1), #-{F} V2 | incident_point_and_line-{T}(V2,V0)
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #393: exists( #47, #391 ), references = 1, size of lhs = 6:
% 5.73/5.94 pppp2-{F}(V0), equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2), equal_lines-{F}(V2,V3), distinct_lines-{F}(V2,V4), incident_point_and_line-{F}(V1,V4) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #401: exists( #57, #399 ), references = 1, size of lhs = 3:
% 5.73/5.94 pppp2-{F}(V0), equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #405: exists( #46, #403 ), references = 1, size of lhs = 1:
% 5.73/5.94 equal_lines-{F}(V0,V1) | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 #407: #86+#404, references = 1, size of lhs = 1:
% 5.73/5.94 #-{F} V0 | FALSE
% 5.73/5.94 (used 0 times, uses = {})
% 5.73/5.94
% 5.73/5.94 number of learnt formulas = 59
% 5.73/5.94
% 5.73/5.94
% 5.73/5.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.73/5.94
% 5.73/5.94 randbase = 1
%------------------------------------------------------------------------------