TSTP Solution File: GEO205+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:02:04 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n024.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 18:22:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.49 GeoParameters:
% 0.20/0.49
% 0.20/0.49 tptp_input = 1
% 0.20/0.49 tptp_output = 0
% 0.20/0.49 nonempty = 1
% 0.20/0.49 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49
% 0.20/0.49 RuleSystem INPUT:
% 0.20/0.49
% 0.20/0.49 Initial Rules:
% 0.20/0.49 #0: input, references = 4, size of lhs = 1:
% 0.20/0.49 distinct_points-{F}(V0,V0) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #1: input, references = 3, size of lhs = 1:
% 0.20/0.49 distinct_lines-{F}(V0,V0) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #2: input, references = 3, size of lhs = 1:
% 0.20/0.49 convergent_lines-{F}(V0,V0) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #3: input, references = 5, size of lhs = 2:
% 0.20/0.49 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #4: input, references = 6, size of lhs = 2:
% 0.20/0.49 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #5: input, references = 7, size of lhs = 2:
% 0.20/0.49 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #6: input, references = 5, size of lhs = 3:
% 0.20/0.49 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V0,V2) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #7: input, references = 3, size of lhs = 3:
% 0.20/0.49 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V1,V2) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #8: input, references = 5, size of lhs = 3:
% 0.20/0.49 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V0) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #9: input, references = 4, size of lhs = 3:
% 0.20/0.49 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V2,V1) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #10: input, references = 6, size of lhs = 2:
% 0.20/0.49 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)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #11: input, references = 4, size of lhs = 2:
% 0.20/0.49 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #12: input, references = 4, size of lhs = 2:
% 0.20/0.49 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #13: input, references = 4, size of lhs = 2:
% 0.20/0.49 #-{F} V1, convergent_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #14: input, references = 4, size of lhs = 0:
% 0.20/0.49 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #15: input, references = 4, size of lhs = 1:
% 0.20/0.49 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #16: input, references = 5, size of lhs = 1:
% 0.20/0.49 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #17: input, references = 6, size of lhs = 2:
% 0.20/0.49 pppp1-{F}(V0,V1), distinct_lines-{F}(V0,V1) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #18: input, references = 8, size of lhs = 4:
% 0.20/0.49 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4), convergent_lines-{F}(V0,V2) | distinct_points-{T}(V3,V4)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #19: input, references = 5, size of lhs = 3:
% 0.20/0.49 pppp0-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V3), P_intersection_point-{F}(V0,V2,V4) | convergent_lines-{T}(V0,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #20: input, references = 3, size of lhs = 2:
% 0.20/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #21: input, references = 6, size of lhs = 2:
% 0.20/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 number of initial rules = 22
% 0.20/0.49
% 0.20/0.49 Simplifiers:
% 0.20/0.49 #22: unsound, references = 3, size of lhs = 3:
% 0.20/0.49 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #23: unsound, references = 3, size of lhs = 3:
% 0.20/0.49 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #24: unsound, references = 3, size of lhs = 3:
% 0.20/0.49 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #25: unsound, references = 3, size of lhs = 3:
% 0.20/0.49 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #26: unsound, references = 3, size of lhs = 3:
% 0.20/0.49 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #27: unsound, references = 3, size of lhs = 3:
% 0.20/0.49 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #28: unsound, references = 3, size of lhs = 3:
% 0.20/0.49 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #29: unsound, references = 3, size of lhs = 3:
% 0.20/0.49 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 number of simplifiers = 8
% 0.20/0.49
% 0.20/0.49 Learnt:
% 0.20/0.49 #35: exists( #21, #33 ), references = 1, size of lhs = 1:
% 0.20/0.49 pppp0-{F}(V0,V1,V1) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #37: exists( #16, #34 ), references = 1, size of lhs = 1:
% 0.20/0.49 pppp1-{F}(V0,V0) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #39: disj( #5, input ), references = 3, size of lhs = 1:
% 0.20/0.49 convergent_lines-{F}(V0,V1) | convergent_lines-{T}(V1,V0)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #41: disj( #13, input ), references = 4, size of lhs = 1:
% 0.20/0.49 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #43: disj( #4, input ), references = 2, size of lhs = 2:
% 0.20/0.49 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2) | distinct_lines-{T}(V1,V2)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #45: disj( #3, input ), references = 3, size of lhs = 1:
% 0.20/0.49 distinct_points-{F}(V0,V1) | distinct_points-{T}(V1,V0)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #48: disj( #10, input, input, input ), references = 3, size of lhs = 8:
% 0.20/0.49 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), distinct_points-{F}(V2,V3), P_line_connecting-{F}(V2,V3,V4), P_line_connecting-{F}(V0,V1,V4), distinct_lines-{F}(V4,V5), distinct_points-{F}(V2,V6), P_line_connecting-{F}(V2,V6,V5) | apart_point_and_line-{T}(V1,V5)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #53: disj( #3, #46+#8 ), references = 2, size of lhs = 10:
% 0.20/0.49 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), distinct_lines-{F}(V3,V4), P_line_connecting-{F}(V1,V5,V4), convergent_lines-{F}(V4,V6), P_intersection_point-{F}(V4,V6,V7), distinct_points-{F}(V7,V1), distinct_points-{F}(V8,V7), P_line_connecting-{F}(V8,V7,V3) | distinct_points-{T}(V0,V5)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #54: disj( #3, #46+#9 ), references = 1, size of lhs = 10:
% 0.20/0.49 distinct_points-{F}(V0,V1), distinct_points-{F}(V1,V2), P_line_connecting-{F}(V1,V2,V3), distinct_lines-{F}(V3,V4), P_line_connecting-{F}(V1,V5,V4), convergent_lines-{F}(V6,V4), P_intersection_point-{F}(V6,V4,V7), distinct_points-{F}(V7,V1), distinct_points-{F}(V8,V7), P_line_connecting-{F}(V8,V7,V3) | distinct_points-{T}(V0,V5)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #66: disj( #5, #18+#44+#51+#48+#8 ), references = 1, size of lhs = 12:
% 0.20/0.49 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_line_connecting-{F}(V4,V3,V0), P_line_connecting-{F}(V4,V5,V1), P_line_connecting-{F}(V3,V5,V6), convergent_lines-{F}(V6,V7), P_intersection_point-{F}(V6,V8,V3), pppp0-{F}(V6,V8,V9), P_intersection_point-{F}(V6,V9,V4), P_line_connecting-{F}(V3,V4,V10), distinct_lines-{F}(V10,V6) | convergent_lines-{T}(V7,V9)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #68: mergings( V12 == V13; #65 ), references = 1, size of lhs = 15:
% 0.20/0.49 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), P_line_connecting-{F}(V4,V3,V0), P_line_connecting-{F}(V4,V5,V1), P_line_connecting-{F}(V3,V5,V6), P_line_connecting-{F}(V4,V7,V6), P_line_connecting-{F}(V3,V7,V8), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V10,V3), pppp0-{F}(V8,V10,V11), P_intersection_point-{F}(V8,V11,V4), P_line_connecting-{F}(V3,V4,V12), distinct_lines-{F}(V12,V6), distinct_lines-{F}(V12,V8) | convergent_lines-{T}(V9,V11)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #73: disj( #4, #64+#39+#41+#17 ), references = 1, size of lhs = 13:
% 0.20/0.49 distinct_lines-{F}(V0,V1), distinct_lines-{F}(V2,V3), convergent_lines-{F}(V3,V4), P_intersection_point-{F}(V3,V4,V5), P_line_connecting-{F}(V6,V5,V2), P_line_connecting-{F}(V5,V6,V1), P_line_connecting-{F}(V6,V7,V3), P_line_connecting-{F}(V5,V7,V8), convergent_lines-{F}(V8,V9), P_intersection_point-{F}(V8,V10,V5), pppp0-{F}(V8,V10,V11), P_intersection_point-{F}(V8,V11,V6), pppp1-{F}(V9,V11) | distinct_lines-{T}(V0,V8)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #76: disj( #4, input ), references = 3, size of lhs = 1:
% 0.20/0.49 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #78: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 0.20/0.49 distinct_lines-{F}(V0,V1), convergent_lines-{F}(V1,V2), P_intersection_point-{F}(V1,V2,V3), convergent_lines-{F}(V0,V4), P_intersection_point-{F}(V0,V4,V5), distinct_points-{F}(V5,V3), convergent_lines-{F}(V1,V6), P_intersection_point-{F}(V1,V6,V5) | apart_point_and_line-{T}(V3,V0)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #83: disj( #5, #18+#45+#77+#6 ), references = 1, size of lhs = 10:
% 0.20/0.49 convergent_lines-{F}(V0,V1), convergent_lines-{F}(V0,V2), P_intersection_point-{F}(V0,V2,V3), P_intersection_point-{F}(V0,V4,V3), pppp0-{F}(V0,V4,V5), P_intersection_point-{F}(V0,V5,V6), P_line_connecting-{F}(V6,V3,V7), distinct_lines-{F}(V7,V0), convergent_lines-{F}(V7,V8), P_intersection_point-{F}(V7,V8,V3) | convergent_lines-{T}(V1,V5)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #93: disj( #5, #39+#41+#17 ), references = 1, size of lhs = 2:
% 0.20/0.49 convergent_lines-{F}(V0,V1), pppp1-{F}(V1,V2) | convergent_lines-{T}(V0,V2)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #97: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 0.20/0.49 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), convergent_lines-{F}(V2,V3), P_intersection_point-{F}(V2,V3,V4), P_intersection_point-{F}(V0,V1,V5), distinct_points-{F}(V5,V4), convergent_lines-{F}(V2,V6), P_intersection_point-{F}(V2,V6,V5) | apart_point_and_line-{T}(V4,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #98: disj( #10, input, input, input ), references = 1, size of lhs = 8:
% 0.20/0.49 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V1,V3), P_intersection_point-{F}(V1,V3,V4), distinct_points-{F}(V4,V2), distinct_lines-{F}(V5,V1), P_intersection_point-{F}(V6,V5,V4), convergent_lines-{F}(V6,V5) | apart_point_and_line-{T}(V2,V5)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #100: disj( #11, input ), references = 1, size of lhs = 3:
% 0.20/0.49 apart_point_and_line-{F}(V0,V1), apart_point_and_line-{F}(V0,V2), P_line_connecting-{F}(V0,V3,V2) | apart_point_and_line-{T}(V3,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #103: disj( #12, input ), references = 1, size of lhs = 3:
% 0.20/0.49 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V3) | distinct_lines-{T}(V3,V1)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #104: disj( #12, input ), references = 1, size of lhs = 3:
% 0.20/0.49 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V3) | distinct_lines-{T}(V3,V0)
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #118: mergings( V4 == V6, V3 == V5; #115 ), references = 2, size of lhs = 3:
% 0.20/0.49 pppp1-{F}(V0,V1), pppp0-{F}(V2,V0,V1), P_intersection_point-{F}(V2,V0,V3) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #120: exists( #21, #118 ), references = 1, size of lhs = 2:
% 0.20/0.49 pppp1-{F}(V0,V1), pppp0-{F}(V2,V0,V1) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #122: exists( #16, #119 ), references = 1, size of lhs = 1:
% 0.20/0.49 pppp1-{F}(V0,V1) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #124: exists( #15, #121 ), references = 1, size of lhs = 1:
% 0.20/0.49 pppp2-{F}(V0) | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 #126: exists( #14, #123 ), references = 1, size of lhs = 0:
% 0.20/0.49 FALSE | FALSE
% 0.20/0.49 (used 0 times, uses = {})
% 0.20/0.49
% 0.20/0.49 number of learnt formulas = 26
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49
% 0.20/0.49 randbase = 1
%------------------------------------------------------------------------------