TSTP Solution File: GEO191+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO191+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 06:01:58 EDT 2022
% Result : Theorem 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 17:50:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.62/0.81 GeoParameters:
% 0.62/0.81
% 0.62/0.81 tptp_input = 1
% 0.62/0.81 tptp_output = 0
% 0.62/0.81 nonempty = 1
% 0.62/0.81 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.81 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.62/0.81
% 0.62/0.81
% 0.62/0.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.81
% 0.62/0.81 RuleSystem INPUT:
% 0.62/0.81
% 0.62/0.81 Initial Rules:
% 0.62/0.81 #0: input, references = 14, size of lhs = 1:
% 0.62/0.81 distinct_points-{F}(V0,V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #1: input, references = 5, size of lhs = 1:
% 0.62/0.81 distinct_lines-{F}(V0,V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #2: input, references = 5, size of lhs = 1:
% 0.62/0.81 convergent_lines-{F}(V0,V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #3: input, references = 4, size of lhs = 2:
% 0.62/0.81 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #4: input, references = 5, size of lhs = 2:
% 0.62/0.81 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #5: input, references = 6, size of lhs = 2:
% 0.62/0.81 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #6: input, references = 4, size of lhs = 3:
% 0.62/0.81 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #7: input, references = 5, size of lhs = 3:
% 0.62/0.81 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #8: input, references = 8, size of lhs = 3:
% 0.62/0.81 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #9: input, references = 10, size of lhs = 3:
% 0.62/0.81 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #10: input, references = 6, size of lhs = 2:
% 0.62/0.81 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)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #11: input, references = 3, size of lhs = 2:
% 0.62/0.81 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #12: input, references = 5, size of lhs = 2:
% 0.62/0.81 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #13: input, references = 6, size of lhs = 1:
% 0.62/0.81 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #14: input, references = 4, size of lhs = 0:
% 0.62/0.81 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #15: input, references = 4, size of lhs = 1:
% 0.62/0.81 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #16: input, references = 4, size of lhs = 2:
% 0.62/0.81 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V3,V0,V1,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #17: input, references = 5, size of lhs = 2:
% 0.62/0.81 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | convergent_lines-{T}(V0,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #18: input, references = 5, size of lhs = 1:
% 0.62/0.81 pppp1-{F}(V0,V1,V2,V3) | EXISTS V4: pppp0-{T}(V4,V0,V1,V2,V3)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #19: input, references = 3, size of lhs = 2:
% 0.62/0.81 pppp1-{F}(V0,V1,V2,V3), apart_point_and_line-{F}(V3,V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #20: input, references = 3, size of lhs = 3:
% 0.62/0.81 pppp0-{F}(V0,V1,V2,V3,V4), P_intersection_point-{F}(V0,V1,V5), apart_point_and_line-{F}(V4,V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #21: input, references = 7, size of lhs = 2:
% 0.62/0.81 pppp0-{F}(V0,V1,V2,V3,V4), P_intersection_point-{F}(V0,V1,V5) | apart_point_and_line-{T}(V5,V2), apart_point_and_line-{T}(V5,V3)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #22: input, references = 6, size of lhs = 2:
% 0.62/0.81 pppp0-{F}(V0,V1,V2,V3,V4), P_intersection_point-{F}(V0,V1,V5) | convergent_lines-{T}(V0,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #23: input, references = 3, size of lhs = 2:
% 0.62/0.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #24: input, references = 9, size of lhs = 2:
% 0.62/0.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 number of initial rules = 25
% 0.62/0.81
% 0.62/0.81 Simplifiers:
% 0.62/0.81 #25: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #26: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #27: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #28: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V2,V3,V4), V1 == V6 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #29: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V2,V8,V9), V3 == V8 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #30: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #31: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V2,V3,V9), V4 == V9 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #32: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #33: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #34: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #35: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #36: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #37: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #38: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 number of simplifiers = 14
% 0.62/0.81
% 0.62/0.81 Learnt:
% 0.62/0.81 #41: exists( #24, #39 ), references = 1, size of lhs = 1:
% 0.62/0.81 pppp2-{F}(V0,V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #43: disj( #4, input ), references = 1, size of lhs = 1:
% 0.62/0.81 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #45: disj( #5, input ), references = 3, size of lhs = 1:
% 0.62/0.81 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #47: disj( #3, input ), references = 1, size of lhs = 1:
% 0.62/0.81 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #52: disj( #21, #9+#46+#7+#0 ), references = 1, size of lhs = 5:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_line_connecting-{F}(V2,V3,V1), P_intersection_point-{F}(V4,V5,V3), pppp0-{F}(V4,V5,V6,V1,V7) | apart_point_and_line-{T}(V3,V6)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #58: disj( #21, #9+#0 ), references = 2, size of lhs = 4:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V3,V4,V2), pppp0-{F}(V3,V4,V1,V5,V6) | apart_point_and_line-{T}(V2,V5)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #68: disj( #12, #7+#0 ), references = 1, size of lhs = 3:
% 0.62/0.81 distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2), P_line_connecting-{F}(V0,V1,V3) | distinct_lines-{T}(V2,V3)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #72: disj( #10, #6+#0, #6+#0, #6+#0 ), references = 1, size of lhs = 8:
% 0.62/0.81 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), distinct_points-{F}(V0,V4), P_line_connecting-{F}(V0,V4,V5), distinct_lines-{F}(V5,V3), distinct_points-{F}(V0,V6), P_line_connecting-{F}(V0,V6,V3) | apart_point_and_line-{T}(V1,V5)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #81: disj( #12, #9+#0 ), references = 3, size of lhs = 3:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V3) | distinct_lines-{T}(V3,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #88: disj( #10, #9+#0, #9+#0 ), references = 1, size of lhs = 6:
% 0.62/0.81 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), convergent_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V3) | apart_point_and_line-{T}(V4,V1), apart_point_and_line-{T}(V4,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #89: disj( #10, #9+#0, #81+#1 ), references = 1, size of lhs = 6:
% 0.62/0.81 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), convergent_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V3) | apart_point_and_line-{T}(V4,V1), apart_point_and_line-{T}(V4,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #90: disj( #10, #81+#1, #9+#0 ), references = 1, size of lhs = 6:
% 0.62/0.81 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), convergent_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V3) | apart_point_and_line-{T}(V4,V1), apart_point_and_line-{T}(V4,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #92: disj( #84, input ), references = 1, size of lhs = 7:
% 0.62/0.81 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), convergent_lines-{F}(V5,V2), P_intersection_point-{F}(V5,V2,V3), pppp1-{F}(V1,V6,V7,V4) | apart_point_and_line-{T}(V4,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #99: disj( #10, input, input ), references = 1, size of lhs = 5:
% 0.62/0.81 distinct_lines-{F}(V0,V1), distinct_points-{F}(V2,V3), pppp1-{F}(V0,V4,V5,V3), P_intersection_point-{F}(V1,V6,V7), pppp0-{F}(V1,V6,V8,V9,V3) | apart_point_and_line-{T}(V2,V0), apart_point_and_line-{T}(V2,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #104: disj( #98, #9+#0 ), references = 3, size of lhs = 7:
% 0.62/0.81 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), pppp1-{F}(V1,V5,V6,V4), P_intersection_point-{F}(V2,V7,V8), pppp0-{F}(V2,V7,V9,V10,V4) | apart_point_and_line-{T}(V3,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #105: disj( #98, #81+#1 ), references = 1, size of lhs = 7:
% 0.62/0.81 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), distinct_points-{F}(V3,V4), pppp1-{F}(V1,V5,V6,V4), P_intersection_point-{F}(V2,V7,V8), pppp0-{F}(V2,V7,V9,V10,V4) | apart_point_and_line-{T}(V3,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #118: mergings( V1 == V9, V4 == V10, V9 == V11, V10 == V12, V6 == V5, V5 == V13; #111 ), references = 3, size of lhs = 5:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V4), pppp0-{F}(V4,V3,V3,V1,V2), pppp1-{F}(V3,V5,V6,V2) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #126: mergings( V2 == V9, V4 == V10, V9 == V11, V10 == V12, V6 == V5, V5 == V13; #119 ), references = 1, size of lhs = 5:
% 0.62/0.81 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), pppp0-{F}(V5,V1,V1,V3,V4), pppp1-{F}(V1,V6,V7,V4) | distinct_lines-{T}(V0,V5)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #129: disj( #5, #13+#118 ), references = 1, size of lhs = 5:
% 0.62/0.81 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), pppp0-{F}(V5,V1,V1,V3,V4), pppp1-{F}(V1,V6,V7,V4) | convergent_lines-{T}(V0,V5)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #137: mergings( V1 == V8, V4 == V9, V5 == V10; #133 ), references = 1, size of lhs = 4:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V4,V1,V2), pppp1-{F}(V4,V5,V6,V2) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #141: mergings( V0 == V5, V1 == V6; #138 ), references = 1, size of lhs = 3:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), pppp1-{F}(V3,V3,V1,V2) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #149: disj( #21, #8+#0 ), references = 1, size of lhs = 4:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V3,V4,V2), pppp0-{F}(V3,V4,V0,V5,V6) | apart_point_and_line-{T}(V2,V5)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #164: mergings( V2 == V16, V3 == V17, V4 == V7, V1 == V14, V0 == V10, V5 == V15; #157 ), references = 1, size of lhs = 10:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), distinct_lines-{F}(V4,V6), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V7,V5), P_intersection_point-{F}(V6,V8,V5), pppp0-{F}(V6,V8,V9,V1,V2), pppp1-{F}(V4,V10,V11,V2) | apart_point_and_line-{T}(V5,V9)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #178: mergings( V6 == V12, V4 == V13, V12 == V16, V13 == V17, V7 == V5, V5 == V9, V10 == V14, V11 == V15; #169 ), references = 1, size of lhs = 8:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V2), distinct_lines-{F}(V5,V6), convergent_lines-{F}(V6,V5), pppp0-{F}(V6,V5,V3,V1,V2), pppp1-{F}(V5,V7,V8,V2) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #190: mergings( V6 == V12, V4 == V13, V12 == V16, V13 == V17, V9 == V5, V5 == V8, V10 == V14, V11 == V15; #181 ), references = 2, size of lhs = 7:
% 0.62/0.81 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), convergent_lines-{F}(V5,V6), P_intersection_point-{F}(V5,V6,V4), pppp0-{F}(V7,V1,V5,V3,V4), pppp1-{F}(V1,V8,V9,V4) | convergent_lines-{T}(V0,V7)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #197: mergings( V6 == V10, V4 == V11, V5 == V12; #193 ), references = 1, size of lhs = 6:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V2), pppp0-{F}(V5,V6,V3,V1,V2), pppp1-{F}(V6,V7,V8,V2) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #201: mergings( V1 == V7, V2 == V8; #198 ), references = 1, size of lhs = 5:
% 0.62/0.81 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V2), pppp1-{F}(V5,V3,V1,V2) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #203: exists( #16, #198 ), references = 1, size of lhs = 6:
% 0.62/0.81 pppp2-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V2), convergent_lines-{F}(V0,V4), P_intersection_point-{F}(V0,V4,V2) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #206: exists( #24, #204 ), references = 1, size of lhs = 1:
% 0.62/0.81 pppp2-{F}(V0,V1) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #208: exists( #15, #205 ), references = 1, size of lhs = 1:
% 0.62/0.81 pppp3-{F}(V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #210: exists( #14, #207 ), references = 1, size of lhs = 0:
% 0.62/0.81 FALSE | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 number of learnt formulas = 31
% 0.62/0.81
% 0.62/0.81
% 0.62/0.81 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.81
% 0.62/0.81 randbase = 1
%------------------------------------------------------------------------------