TSTP Solution File: GEO176+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:01:52 EDT 2022
% Result : Theorem 0.85s 1.06s
% Output : Refutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 17:42:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.85/1.06 GeoParameters:
% 0.85/1.06
% 0.85/1.06 tptp_input = 1
% 0.85/1.06 tptp_output = 0
% 0.85/1.06 nonempty = 1
% 0.85/1.06 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.06 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.85/1.06
% 0.85/1.06
% 0.85/1.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.06 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.06
% 0.85/1.06 RuleSystem INPUT:
% 0.85/1.06
% 0.85/1.06 Initial Rules:
% 0.85/1.06 #0: input, references = 4, size of lhs = 1:
% 0.85/1.06 distinct_points-{F}(V0,V0) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #1: input, references = 5, size of lhs = 1:
% 0.85/1.06 distinct_lines-{F}(V0,V0) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #2: input, references = 3, size of lhs = 1:
% 0.85/1.06 convergent_lines-{F}(V0,V0) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #3: input, references = 4, size of lhs = 2:
% 0.85/1.06 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #4: input, references = 4, size of lhs = 2:
% 0.85/1.06 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #5: input, references = 3, size of lhs = 2:
% 0.85/1.06 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #6: input, references = 3, size of lhs = 3:
% 0.85/1.06 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #7: input, references = 3, size of lhs = 3:
% 0.85/1.06 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #8: input, references = 3, size of lhs = 3:
% 0.85/1.06 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #9: input, references = 3, size of lhs = 3:
% 0.85/1.06 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #10: input, references = 4, size of lhs = 2:
% 0.85/1.06 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)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #11: input, references = 4, size of lhs = 2:
% 0.85/1.06 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #12: input, references = 4, size of lhs = 2:
% 0.85/1.06 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #13: input, references = 4, size of lhs = 2:
% 0.85/1.06 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #14: input, references = 5, size of lhs = 1:
% 0.85/1.06 distinct_lines-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #15: input, references = 5, size of lhs = 2:
% 0.85/1.06 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #16: input, references = 4, size of lhs = 2:
% 0.85/1.06 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #17: input, references = 3, size of lhs = 2:
% 0.85/1.06 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)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #18: input, references = 7, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #19: input, references = 3, size of lhs = 3:
% 0.85/1.06 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #20: input, references = 4, size of lhs = 3:
% 0.85/1.06 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #21: input, references = 3, size of lhs = 3:
% 0.85/1.06 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), convergent_lines-{T}(V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #22: input, references = 3, size of lhs = 3:
% 0.85/1.06 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V0,V2), unorthogonal_lines-{T}(V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #23: input, references = 5, size of lhs = 2:
% 0.85/1.06 P_orthogonal_through_point-{F}(V1,V0,V2), unorthogonal_lines-{F}(V2,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #24: input, references = 3, size of lhs = 2:
% 0.85/1.06 P_orthogonal_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #25: input, references = 3, size of lhs = 3:
% 0.85/1.06 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)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #26: input, references = 3, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | convergent_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #27: input, references = 3, size of lhs = 3:
% 0.85/1.06 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #28: input, references = 3, size of lhs = 3:
% 0.85/1.06 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | convergent_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #29: input, references = 3, size of lhs = 3:
% 0.85/1.06 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), convergent_lines-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #30: input, references = 3, size of lhs = 3:
% 0.85/1.06 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #31: input, references = 3, size of lhs = 2:
% 0.85/1.06 convergent_lines-{F}(V0,V1), #-{F} V2 | unorthogonal_lines-{T}(V2,V0), unorthogonal_lines-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #32: input, references = 3, size of lhs = 4:
% 0.85/1.06 point-{F}(V0), P_line_connecting-{F}(V1,V0,V2), point-{F}(V1), distinct_points-{F}(V1,V0) | line-{T}(V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #33: input, references = 3, size of lhs = 4:
% 0.85/1.06 line-{F}(V0), P_intersection_point-{F}(V1,V0,V2), line-{F}(V1), convergent_lines-{F}(V1,V0) | point-{T}(V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #34: input, references = 3, size of lhs = 3:
% 0.85/1.06 point-{F}(V0), P_parallel_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #35: input, references = 3, size of lhs = 3:
% 0.85/1.06 point-{F}(V0), P_orthogonal_through_point-{F}(V1,V0,V2), line-{F}(V1) | line-{T}(V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #36: input, references = 4, size of lhs = 2:
% 0.85/1.06 equal_points-{F}(V0,V1), distinct_points-{F}(V0,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #37: input, references = 6, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | equal_points-{T}(V0,V1), distinct_points-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #38: input, references = 6, size of lhs = 2:
% 0.85/1.06 equal_lines-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #39: input, references = 6, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | equal_lines-{T}(V0,V1), distinct_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #40: input, references = 5, size of lhs = 2:
% 0.85/1.06 parallel_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #41: input, references = 7, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | parallel_lines-{T}(V0,V1), convergent_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #42: input, references = 4, size of lhs = 2:
% 0.85/1.06 incident_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #43: input, references = 6, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #44: input, references = 5, size of lhs = 2:
% 0.85/1.06 orthogonal_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #45: input, references = 6, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | orthogonal_lines-{T}(V0,V1), unorthogonal_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #46: input, references = 4, size of lhs = 0:
% 0.85/1.06 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #47: input, references = 4, size of lhs = 1:
% 0.85/1.06 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #48: input, references = 4, size of lhs = 2:
% 0.85/1.06 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V3,V0,V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #49: input, references = 5, size of lhs = 2:
% 0.85/1.06 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #50: input, references = 3, size of lhs = 1:
% 0.85/1.06 pppp1-{F}(V0,V1,V2,V3) | EXISTS V4: pppp0-{T}(V0,V4)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #51: input, references = 3, size of lhs = 2:
% 0.85/1.06 pppp1-{F}(V0,V1,V2,V3), distinct_points-{F}(V0,V3) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #52: input, references = 4, size of lhs = 1:
% 0.85/1.06 pppp1-{F}(V0,V1,V2,V3) | apart_point_and_line-{T}(V0,V1), apart_point_and_line-{T}(V0,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #53: input, references = 3, size of lhs = 1:
% 0.85/1.06 pppp0-{F}(V0,V1) | distinct_points-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #54: input, references = 3, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #55: input, references = 5, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #56: input, references = 4, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #57: input, references = 3, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_orthogonal_through_point-{T}(V0,V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 number of initial rules = 58
% 0.85/1.06
% 0.85/1.06 Simplifiers:
% 0.85/1.06 #58: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #59: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #60: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #61: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 P_orthogonal_through_point-{F}(V0,V1,V2), P_orthogonal_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #62: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #63: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #64: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #65: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #66: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #67: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #68: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #69: unsound, references = 3, size of lhs = 3:
% 0.85/1.06 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 number of simplifiers = 12
% 0.85/1.06
% 0.85/1.06 Learnt:
% 0.85/1.06 #71: disj( #37, input ), references = 1, size of lhs = 1:
% 0.85/1.06 #-{F} V0 | equal_points-{T}(V0,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #73: disj( #18, input ), references = 1, size of lhs = 1:
% 0.85/1.06 #-{F} V0 | unorthogonal_lines-{T}(V0,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #75: disj( #41, input ), references = 1, size of lhs = 1:
% 0.85/1.06 #-{F} V0 | parallel_lines-{T}(V0,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #77: disj( #18, input ), references = 1, size of lhs = 1:
% 0.85/1.06 P_orthogonal_through_point-{F}(V0,V1,V2) | convergent_lines-{T}(V2,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #80: disj( #18, input ), references = 1, size of lhs = 1:
% 0.85/1.06 P_parallel_through_point-{F}(V0,V1,V2) | unorthogonal_lines-{T}(V2,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #82: disj( #39, input ), references = 1, size of lhs = 1:
% 0.85/1.06 #-{F} V0 | equal_lines-{T}(V0,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #87: exists( #55, #83 ), references = 1, size of lhs = 2:
% 0.85/1.06 pppp2-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #88: exists( #55, #84 ), references = 1, size of lhs = 2:
% 0.85/1.06 pppp2-{F}(V0,V1), parallel_lines-{F}(V0,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #90: disj( #41, input ), references = 1, size of lhs = 1:
% 0.85/1.06 P_parallel_through_point-{F}(V0,V1,V2) | parallel_lines-{T}(V2,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #92: disj( #43, input ), references = 1, size of lhs = 1:
% 0.85/1.06 P_parallel_through_point-{F}(V0,V1,V2) | incident_point_and_line-{T}(V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #95: disj( #12, input ), references = 1, size of lhs = 2:
% 0.85/1.06 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #96: disj( #12, input ), references = 1, size of lhs = 2:
% 0.85/1.06 apart_point_and_line-{F}(V0,V1), incident_point_and_line-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #101: disj( #39, #14+#15 ), references = 1, size of lhs = 1:
% 0.85/1.06 P_parallel_through_point-{F}(V0,V1,V2) | equal_lines-{T}(V2,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #102: disj( #39, #14+#40 ), references = 1, size of lhs = 1:
% 0.85/1.06 parallel_lines-{F}(V0,V1) | equal_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #104: disj( #11, input ), references = 3, size of lhs = 2:
% 0.85/1.06 apart_point_and_line-{F}(V0,V1), equal_points-{F}(V0,V2) | apart_point_and_line-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #109: disj( #43, #104+#16 ), references = 1, size of lhs = 2:
% 0.85/1.06 equal_points-{F}(V0,V1), P_parallel_through_point-{F}(V2,V1,V3) | incident_point_and_line-{T}(V0,V3)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #110: disj( #43, #104+#42 ), references = 1, size of lhs = 2:
% 0.85/1.06 equal_points-{F}(V0,V1), incident_point_and_line-{F}(V1,V2) | incident_point_and_line-{T}(V0,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #112: disj( #4, input ), references = 3, size of lhs = 2:
% 0.85/1.06 distinct_lines-{F}(V0,V1), equal_lines-{F}(V1,V2) | distinct_lines-{T}(V0,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #121: exists( #56, #117 ), references = 3, size of lhs = 1:
% 0.85/1.06 apart_point_and_line-{F}(V0,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #124: disj( #43, exists( #56, #117 ) ), references = 1, size of lhs = 2:
% 0.85/1.06 #-{F} V0, #-{F} V1 | incident_point_and_line-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #127: disj( #13, input ), references = 3, size of lhs = 1:
% 0.85/1.06 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #128: disj( #13, input ), references = 1, size of lhs = 2:
% 0.85/1.06 convergent_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #133: disj( #39, #112+#1 ), references = 1, size of lhs = 1:
% 0.85/1.06 equal_lines-{F}(V0,V1) | equal_lines-{T}(V1,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #134: disj( #39, #112+#38 ), references = 1, size of lhs = 2:
% 0.85/1.06 equal_lines-{F}(V0,V1), equal_lines-{F}(V2,V1) | equal_lines-{T}(V2,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #137: disj( #18, #127+#38 ), references = 1, size of lhs = 1:
% 0.85/1.06 equal_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #139: disj( #41, exists( #55, #84 ) ), references = 1, size of lhs = 1:
% 0.85/1.06 pppp2-{F}(V0,V1) | convergent_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #141: disj( #45, input ), references = 1, size of lhs = 1:
% 0.85/1.06 P_orthogonal_through_point-{F}(V0,V1,V2) | orthogonal_lines-{T}(V2,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #143: disj( #3, input ), references = 1, size of lhs = 2:
% 0.85/1.06 distinct_points-{F}(V0,V1), equal_points-{F}(V1,V2) | distinct_points-{T}(V0,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #148: disj( #37, #142+#0 ), references = 1, size of lhs = 1:
% 0.85/1.06 equal_points-{F}(V0,V1) | equal_points-{T}(V1,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #149: disj( #37, #142+#36 ), references = 1, size of lhs = 2:
% 0.85/1.06 equal_points-{F}(V0,V1), equal_points-{F}(V2,V1) | equal_points-{T}(V2,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #153: disj( #20, input ), references = 3, size of lhs = 2:
% 0.85/1.06 unorthogonal_lines-{F}(V0,V1), convergent_lines-{F}(V0,V1) | unorthogonal_lines-{T}(V1,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #154: disj( #20, input ), references = 3, size of lhs = 3:
% 0.85/1.06 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), parallel_lines-{F}(V0,V2) | unorthogonal_lines-{T}(V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #155: disj( #20, input ), references = 1, size of lhs = 3:
% 0.85/1.06 convergent_lines-{F}(V0,V1), unorthogonal_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0) | unorthogonal_lines-{T}(V1,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #160: disj( #45, #150+#23 ), references = 1, size of lhs = 2:
% 0.85/1.06 convergent_lines-{F}(V0,V1), P_orthogonal_through_point-{F}(V0,V2,V1) | orthogonal_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #161: disj( #45, #150+#44 ), references = 1, size of lhs = 2:
% 0.85/1.06 convergent_lines-{F}(V0,V1), orthogonal_lines-{F}(V1,V0) | orthogonal_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #180: disj( #10, exists( #56, #117 ), exists( #56, #117 ), exists( #56, #117 ) ), references = 1, size of lhs = 2:
% 0.85/1.06 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3) | apart_point_and_line-{T}(V2,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #187: disj( #37, #162+#121 ), references = 1, size of lhs = 3:
% 0.85/1.06 distinct_lines-{F}(V0,V1), #-{F} V2, #-{F} V3 | equal_points-{T}(V2,V3)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #190: disj( #41, #127+#38 ), references = 1, size of lhs = 1:
% 0.85/1.06 equal_lines-{F}(V0,V1) | parallel_lines-{T}(V1,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #197: disj( #45, #153+#154+#23 ), references = 1, size of lhs = 4:
% 0.85/1.06 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), parallel_lines-{F}(V0,V2), P_orthogonal_through_point-{F}(V2,V3,V1) | orthogonal_lines-{T}(V1,V0)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #198: disj( #45, #153+#154+#44 ), references = 1, size of lhs = 4:
% 0.85/1.06 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V1,V0), parallel_lines-{F}(V1,V2), orthogonal_lines-{F}(V0,V2) | orthogonal_lines-{T}(V0,V1)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #202: disj( #52, exists( #56, #117 ) ), references = 1, size of lhs = 1:
% 0.85/1.06 pppp1-{F}(V0,V1,V2,V3) | apart_point_and_line-{T}(V0,V2)
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #207: exists( #48, #203 ), references = 1, size of lhs = 2:
% 0.85/1.06 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #209: exists( #55, #206 ), references = 1, size of lhs = 1:
% 0.85/1.06 pppp2-{F}(V0,V1) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #211: exists( #47, #208 ), references = 1, size of lhs = 1:
% 0.85/1.06 pppp3-{F}(V0) | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 #213: exists( #46, #210 ), references = 1, size of lhs = 0:
% 0.85/1.06 FALSE | FALSE
% 0.85/1.06 (used 0 times, uses = {})
% 0.85/1.06
% 0.85/1.06 number of learnt formulas = 45
% 0.85/1.06
% 0.85/1.06
% 0.85/1.06 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.06
% 0.85/1.06 randbase = 1
%------------------------------------------------------------------------------