TSTP Solution File: GEO201+2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:02:02 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 17:37:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 GeoParameters:
% 0.13/0.36
% 0.13/0.36 tptp_input = 1
% 0.13/0.36 tptp_output = 0
% 0.13/0.36 nonempty = 1
% 0.13/0.36 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 RuleSystem INPUT:
% 0.13/0.36
% 0.13/0.36 Initial Rules:
% 0.13/0.36 #0: input, references = 7, size of lhs = 1:
% 0.13/0.36 distinct_points-{F}(V0,V0) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #1: input, references = 3, size of lhs = 1:
% 0.13/0.36 distinct_lines-{F}(V0,V0) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #2: input, references = 4, size of lhs = 1:
% 0.13/0.36 convergent_lines-{F}(V0,V0) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #3: input, references = 3, size of lhs = 2:
% 0.13/0.36 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #4: input, references = 3, size of lhs = 2:
% 0.13/0.36 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #5: input, references = 4, size of lhs = 2:
% 0.13/0.36 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #6: input, references = 3, size of lhs = 3:
% 0.13/0.36 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #7: input, references = 3, size of lhs = 3:
% 0.13/0.36 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #8: input, references = 5, size of lhs = 3:
% 0.13/0.36 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #9: input, references = 4, size of lhs = 3:
% 0.13/0.36 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #10: input, references = 4, size of lhs = 2:
% 0.13/0.36 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)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #11: input, references = 3, size of lhs = 2:
% 0.13/0.36 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #12: input, references = 3, size of lhs = 2:
% 0.13/0.36 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #13: input, references = 4, size of lhs = 1:
% 0.13/0.36 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #14: input, references = 4, size of lhs = 0:
% 0.13/0.36 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #15: input, references = 4, size of lhs = 1:
% 0.13/0.36 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #16: input, references = 5, size of lhs = 3:
% 0.13/0.36 pppp0-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V0,V3) | distinct_points-{T}(V2,V3)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #17: input, references = 4, size of lhs = 3:
% 0.13/0.36 pppp0-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V1,V0,V3) | convergent_lines-{T}(V0,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #18: input, references = 3, size of lhs = 2:
% 0.13/0.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #19: input, references = 6, size of lhs = 2:
% 0.13/0.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 number of initial rules = 20
% 0.13/0.36
% 0.13/0.36 Simplifiers:
% 0.13/0.36 #20: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #21: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #22: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #23: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #24: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 number of simplifiers = 5
% 0.13/0.36
% 0.13/0.36 Learnt:
% 0.13/0.36 #29: exists( #19, #26 ), references = 1, size of lhs = 1:
% 0.13/0.36 pppp0-{F}(V0,V0) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #32: disj( #10, #9+#0, #9+#0 ), references = 1, size of lhs = 6:
% 0.13/0.36 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V2), P_intersection_point-{F}(V4,V2,V5), distinct_points-{F}(V5,V3) | apart_point_and_line-{T}(V3,V2), apart_point_and_line-{T}(V5,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #35: disj( #31, #8+#0 ), references = 1, size of lhs = 8:
% 0.13/0.36 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V1,V2), P_intersection_point-{F}(V0,V1,V3), convergent_lines-{F}(V4,V2), P_intersection_point-{F}(V4,V2,V5), distinct_points-{F}(V5,V3), convergent_lines-{F}(V2,V6), P_intersection_point-{F}(V2,V6,V3) | apart_point_and_line-{T}(V5,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #39: disj( #5, #34+#8+#0 ), references = 1, size of lhs = 8:
% 0.13/0.36 convergent_lines-{F}(V0,V1), distinct_lines-{F}(V2,V1), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4), distinct_points-{F}(V4,V5), P_intersection_point-{F}(V1,V2,V5), convergent_lines-{F}(V2,V6), P_intersection_point-{F}(V2,V6,V4) | convergent_lines-{T}(V0,V2)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #46: mergings( V3 == V4; #44 ), references = 1, size of lhs = 2:
% 0.13/0.36 pppp0-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #48: exists( #19, #44 ), references = 1, size of lhs = 1:
% 0.13/0.36 pppp0-{F}(V0,V1) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #50: exists( #15, #47 ), references = 1, size of lhs = 1:
% 0.13/0.36 pppp1-{F}(V0) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #52: exists( #14, #49 ), references = 1, size of lhs = 0:
% 0.13/0.36 FALSE | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 number of learnt formulas = 8
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 randbase = 1
%------------------------------------------------------------------------------