%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO209+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:02:05 EDT 2022
% Result : Theorem 1.38s 1.56s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GEO209+2 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 17:39:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.38/1.56 GeoParameters:
% 1.38/1.56
% 1.38/1.56 tptp_input = 1
% 1.38/1.56 tptp_output = 0
% 1.38/1.56 nonempty = 1
% 1.38/1.56 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.56 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.38/1.56
% 1.38/1.56
% 1.38/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.56 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.56
% 1.38/1.56 RuleSystem INPUT:
% 1.38/1.56
% 1.38/1.56 Initial Rules:
% 1.38/1.56 #0: input, references = 9, size of lhs = 1:
% 1.38/1.56 distinct_points-{F}(V0,V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #1: input, references = 3, size of lhs = 1:
% 1.38/1.56 distinct_lines-{F}(V0,V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #2: input, references = 4, size of lhs = 1:
% 1.38/1.56 convergent_lines-{F}(V0,V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #3: input, references = 3, size of lhs = 2:
% 1.38/1.56 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #4: input, references = 7, size of lhs = 2:
% 1.38/1.56 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #5: input, references = 4, size of lhs = 2:
% 1.38/1.56 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #6: input, references = 6, size of lhs = 3:
% 1.38/1.56 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #7: input, references = 5, size of lhs = 3:
% 1.38/1.56 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #8: input, references = 5, size of lhs = 3:
% 1.38/1.56 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #9: input, references = 3, size of lhs = 3:
% 1.38/1.56 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #10: input, references = 3, size of lhs = 2:
% 1.38/1.56 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)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #11: input, references = 5, size of lhs = 2:
% 1.38/1.56 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #12: input, references = 4, size of lhs = 2:
% 1.38/1.56 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #13: input, references = 3, size of lhs = 1:
% 1.38/1.56 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #14: input, references = 7, size of lhs = 2:
% 1.38/1.56 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #15: input, references = 5, size of lhs = 2:
% 1.38/1.56 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #16: input, references = 13, size of lhs = 2:
% 1.38/1.56 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)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #17: input, references = 4, size of lhs = 0:
% 1.38/1.56 FALSE | EXISTS V0: pppp3-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #18: input, references = 4, size of lhs = 1:
% 1.38/1.56 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #19: input, references = 5, size of lhs = 1:
% 1.38/1.56 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V2,V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #20: input, references = 4, size of lhs = 1:
% 1.38/1.56 pppp2-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #21: input, references = 11, size of lhs = 1:
% 1.38/1.56 pppp1-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V3,V0,V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #22: input, references = 4, size of lhs = 2:
% 1.38/1.56 pppp1-{F}(V0,V1,V2), convergent_lines-{F}(V2,V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #23: input, references = 5, size of lhs = 2:
% 1.38/1.56 pppp1-{F}(V0,V1,V2), convergent_lines-{F}(V1,V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #24: input, references = 5, size of lhs = 2:
% 1.38/1.56 pppp0-{F}(V0,V1,V2,V3), apart_point_and_line-{F}(V0,V3) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #25: input, references = 5, size of lhs = 2:
% 1.38/1.56 pppp0-{F}(V0,V1,V2,V3), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #26: input, references = 5, size of lhs = 1:
% 1.38/1.56 pppp0-{F}(V0,V1,V2,V3) | apart_point_and_line-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #27: input, references = 3, size of lhs = 2:
% 1.38/1.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #28: input, references = 3, size of lhs = 2:
% 1.38/1.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #29: input, references = 10, size of lhs = 2:
% 1.38/1.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 number of initial rules = 30
% 1.38/1.56
% 1.38/1.56 Simplifiers:
% 1.38/1.56 #30: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #31: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #32: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #33: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #34: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #35: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V2,V7), V3 == V7 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #36: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #37: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #38: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #39: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #40: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #41: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #42: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 number of simplifiers = 13
% 1.38/1.56
% 1.38/1.56 Learnt:
% 1.38/1.56 #44: disj( #4, input ), references = 3, size of lhs = 1:
% 1.38/1.56 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #46: disj( #16, input, input ), references = 3, size of lhs = 3:
% 1.38/1.56 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V1) | convergent_lines-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #49: disj( #16, input, input ), references = 9, size of lhs = 3:
% 1.38/1.56 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V3,V4,V0) | apart_point_and_line-{T}(V4,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #59: disj( #4, #46+#8+#0 ), references = 1, size of lhs = 5:
% 1.38/1.56 distinct_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1), P_intersection_point-{F}(V1,V3,V2), P_parallel_through_point-{F}(V4,V5,V1), P_parallel_through_point-{F}(V6,V5,V3) | distinct_lines-{T}(V0,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #60: disj( #4, #44+#46+#14 ), references = 1, size of lhs = 4:
% 1.38/1.56 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V3), P_parallel_through_point-{F}(V4,V5,V3), P_parallel_through_point-{F}(V6,V5,V1) | distinct_lines-{T}(V0,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #63: exists( #21, #61 ), references = 1, size of lhs = 1:
% 1.38/1.56 pppp1-{F}(V0,V0,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #65: disj( #16, input, input ), references = 1, size of lhs = 3:
% 1.38/1.56 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), pppp0-{F}(V3,V4,V0,V5) | apart_point_and_line-{T}(V3,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #68: exists( #21, #66 ), references = 1, size of lhs = 3:
% 1.38/1.56 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V0,V1), P_parallel_through_point-{F}(V1,V3,V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #70: exists( #19, #67 ), references = 1, size of lhs = 3:
% 1.38/1.56 pppp2-{F}(V0,V1), distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #73: disj( #16, input, input ), references = 2, size of lhs = 3:
% 1.38/1.56 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), P_parallel_through_point-{F}(V3,V4,V1) | apart_point_and_line-{T}(V4,V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #76: disj( #11, #7+#0 ), references = 3, size of lhs = 3:
% 1.38/1.56 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)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #81: disj( #4, #49+#76+#15 ), references = 2, size of lhs = 6:
% 1.38/1.56 distinct_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V3), P_line_connecting-{F}(V2,V4,V5), P_parallel_through_point-{F}(V6,V4,V3), P_parallel_through_point-{F}(V5,V7,V1), P_parallel_through_point-{F}(V8,V4,V1) | distinct_lines-{T}(V0,V5)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #88: disj( #11, input ), references = 4, size of lhs = 2:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | distinct_points-{T}(V0,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #110: disj( #5, input ), references = 7, size of lhs = 2:
% 1.38/1.56 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #111: disj( #5, input ), references = 3, size of lhs = 2:
% 1.38/1.56 convergent_lines-{F}(V0,V1), pppp1-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #116: disj( #16, input, input ), references = 1, size of lhs = 3:
% 1.38/1.56 distinct_lines-{F}(V0,V1), pppp1-{F}(V1,V0,V2), P_parallel_through_point-{F}(V3,V4,V0) | apart_point_and_line-{T}(V4,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #125: disj( #16, #88+#6+#0, #88+#6+#0 ), references = 2, size of lhs = 6:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), P_line_connecting-{F}(V0,V2,V1), P_line_connecting-{F}(V0,V3,V4), distinct_lines-{F}(V4,V5), P_parallel_through_point-{F}(V6,V3,V4), P_parallel_through_point-{F}(V7,V2,V5) | convergent_lines-{T}(V4,V5)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #134: disj( #4, #49+#124+#110+#14 ), references = 1, size of lhs = 10:
% 1.38/1.56 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_line_connecting-{F}(V3,V4,V5), P_parallel_through_point-{F}(V5,V6,V0), P_line_connecting-{F}(V3,V7,V8), distinct_lines-{F}(V8,V9), P_parallel_through_point-{F}(V10,V7,V8), P_parallel_through_point-{F}(V11,V4,V9), P_parallel_through_point-{F}(V12,V13,V9), P_parallel_through_point-{F}(V12,V14,V8) | distinct_lines-{T}(V1,V5)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #147: disj( #16, #110+#14, input ), references = 11, size of lhs = 4:
% 1.38/1.56 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V2,V4,V0), P_parallel_through_point-{F}(V5,V6,V0) | apart_point_and_line-{T}(V6,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #150: mergings( V4 == V0, V1 == V5; #146 ), references = 1, size of lhs = 3:
% 1.38/1.56 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V0,V1), P_parallel_through_point-{F}(V3,V4,V0) | apart_point_and_line-{T}(V4,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #162: disj( #12, input ), references = 17, size of lhs = 2:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #174: exists( #29, #170 ), references = 3, size of lhs = 5:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V2), P_line_connecting-{F}(V3,V0,V2), P_parallel_through_point-{F}(V4,V3,V1), P_parallel_through_point-{F}(V5,V6,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #183: exists( #29, #181 ), references = 2, size of lhs = 7:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), P_line_connecting-{F}(V3,V0,V4), P_parallel_through_point-{F}(V4,V5,V1), P_parallel_through_point-{F}(V4,V6,V1), P_parallel_through_point-{F}(V7,V8,V1), P_parallel_through_point-{F}(V9,V8,V4) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #209: disj( #16, input, input ), references = 1, size of lhs = 3:
% 1.38/1.56 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0), pppp0-{F}(V3,V4,V5,V0) | apart_point_and_line-{T}(V3,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #212: exists( #21, #210 ), references = 1, size of lhs = 3:
% 1.38/1.56 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V1,V0), P_parallel_through_point-{F}(V1,V3,V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #220: mergings( V4 == V1, V0 == V6, V3 == V5; #216 ), references = 3, size of lhs = 2:
% 1.38/1.56 distinct_lines-{F}(V0,V1), pppp0-{F}(V2,V3,V1,V0) | convergent_lines-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #226: mergings( V1 == V6, V0 == V4; #223 ), references = 1, size of lhs = 3:
% 1.38/1.56 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V1,V0), P_parallel_through_point-{F}(V2,V3,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #240: exists( #29, #236 ), references = 2, size of lhs = 5:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V2,V3), P_line_connecting-{F}(V2,V0,V3), P_parallel_through_point-{F}(V4,V2,V1), P_parallel_through_point-{F}(V5,V6,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #241: exists( #29, #237 ), references = 1, size of lhs = 6:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V2,V3), P_line_connecting-{F}(V2,V0,V3), P_line_connecting-{F}(V2,V4,V1), P_parallel_through_point-{F}(V5,V4,V1), P_parallel_through_point-{F}(V6,V7,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #254: exists( #29, #252 ), references = 2, size of lhs = 7:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V4,V3,V5), P_parallel_through_point-{F}(V5,V6,V1), P_line_connecting-{F}(V0,V7,V5), P_parallel_through_point-{F}(V8,V7,V1), P_parallel_through_point-{F}(V5,V9,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #271: exists( #21, #269 ), references = 1, size of lhs = 1:
% 1.38/1.56 pppp1-{F}(V0,V1,V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #276: exists( #21, #274 ), references = 1, size of lhs = 6:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), distinct_lines-{F}(V1,V2), pppp1-{F}(V3,V2,V1), P_intersection_point-{F}(V1,V2,V4), P_line_connecting-{F}(V0,V4,V5), apart_point_and_line-{F}(V0,V5) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #281: exists( #21, #279 ), references = 1, size of lhs = 4:
% 1.38/1.56 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V1,V0), P_parallel_through_point-{F}(V0,V3,V4), P_parallel_through_point-{F}(V4,V5,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #323: exists( #29, #319 ), references = 2, size of lhs = 10:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V2), apart_point_and_line-{F}(V3,V4), P_line_connecting-{F}(V5,V3,V4), P_parallel_through_point-{F}(V6,V5,V1), P_parallel_through_point-{F}(V7,V3,V8), P_line_connecting-{F}(V9,V0,V8), P_parallel_through_point-{F}(V10,V9,V2), P_parallel_through_point-{F}(V1,V11,V8), P_parallel_through_point-{F}(V12,V13,V2) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #355: exists( #29, #349 ), references = 1, size of lhs = 8:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V2), P_line_connecting-{F}(V3,V0,V2), P_parallel_through_point-{F}(V4,V5,V1), P_parallel_through_point-{F}(V6,V5,V7), P_parallel_through_point-{F}(V7,V8,V1), P_parallel_through_point-{F}(V9,V3,V7), P_parallel_through_point-{F}(V10,V11,V7) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #356: exists( #29, #350 ), references = 1, size of lhs = 10:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V4,V3,V5), P_parallel_through_point-{F}(V5,V6,V1), P_parallel_through_point-{F}(V7,V8,V5), P_line_connecting-{F}(V8,V0,V9), P_parallel_through_point-{F}(V9,V10,V5), P_parallel_through_point-{F}(V9,V11,V5), P_parallel_through_point-{F}(V12,V13,V5), P_parallel_through_point-{F}(V14,V13,V9) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #357: exists( #29, #351 ), references = 1, size of lhs = 13:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V2), P_parallel_through_point-{F}(V3,V4,V1), P_parallel_through_point-{F}(V5,V4,V6), P_parallel_through_point-{F}(V6,V7,V1), apart_point_and_line-{F}(V8,V9), P_line_connecting-{F}(V10,V8,V9), P_parallel_through_point-{F}(V11,V10,V2), P_parallel_through_point-{F}(V12,V8,V13), P_line_connecting-{F}(V14,V0,V13), P_parallel_through_point-{F}(V15,V14,V6), P_parallel_through_point-{F}(V2,V16,V13), P_parallel_through_point-{F}(V17,V18,V6) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #382: exists( #29, #380 ), references = 1, size of lhs = 10:
% 1.38/1.56 apart_point_and_line-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V4,V3,V5), P_parallel_through_point-{F}(V5,V6,V1), P_parallel_through_point-{F}(V7,V8,V5), P_parallel_through_point-{F}(V9,V8,V10), P_parallel_through_point-{F}(V10,V11,V5), P_line_connecting-{F}(V0,V12,V10), P_parallel_through_point-{F}(V13,V12,V5), P_parallel_through_point-{F}(V10,V14,V5) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #397: mergings( V0 == V6, V4 == V1, V3 == V5; #393 ), references = 1, size of lhs = 2:
% 1.38/1.56 distinct_lines-{F}(V0,V1), pppp0-{F}(V2,V3,V0,V1) | convergent_lines-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #404: mergings( V2 == V6, V0 == V4, V5 == V1; #400 ), references = 1, size of lhs = 2:
% 1.38/1.56 distinct_lines-{F}(V0,V1), pppp1-{F}(V2,V0,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #406: exists( #19, #400 ), references = 1, size of lhs = 2:
% 1.38/1.56 pppp2-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #409: exists( #18, #407 ), references = 1, size of lhs = 1:
% 1.38/1.56 pppp3-{F}(V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #411: exists( #17, #408 ), references = 1, size of lhs = 0:
% 1.38/1.56 FALSE | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 number of learnt formulas = 43
% 1.38/1.56
% 1.38/1.56
% 1.38/1.56 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.56
% 1.38/1.56 randbase = 1
%------------------------------------------------------------------------------