%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO206+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 1.01s 1.21s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO206+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 : n029.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 17:43:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.01/1.21 GeoParameters:
% 1.01/1.21
% 1.01/1.21 tptp_input = 1
% 1.01/1.21 tptp_output = 0
% 1.01/1.21 nonempty = 1
% 1.01/1.21 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.21 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.01/1.21
% 1.01/1.21
% 1.01/1.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.21
% 1.01/1.21 RuleSystem INPUT:
% 1.01/1.21
% 1.01/1.21 Initial Rules:
% 1.01/1.21 #0: input, references = 4, size of lhs = 1:
% 1.01/1.21 distinct_points-{F}(V0,V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #1: input, references = 4, size of lhs = 1:
% 1.01/1.21 distinct_lines-{F}(V0,V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #2: input, references = 4, size of lhs = 1:
% 1.01/1.21 convergent_lines-{F}(V0,V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #3: input, references = 3, size of lhs = 2:
% 1.01/1.21 #-{F} V1, distinct_points-{F}(V2,V0) | distinct_points-{T}(V0,V1), distinct_points-{T}(V2,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #4: input, references = 7, size of lhs = 2:
% 1.01/1.21 #-{F} V1, distinct_lines-{F}(V2,V0) | distinct_lines-{T}(V0,V1), distinct_lines-{T}(V2,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #5: input, references = 4, size of lhs = 2:
% 1.01/1.21 #-{F} V1, convergent_lines-{F}(V2,V0) | convergent_lines-{T}(V0,V1), convergent_lines-{T}(V2,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #6: input, references = 3, size of lhs = 3:
% 1.01/1.21 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #7: input, references = 3, size of lhs = 3:
% 1.01/1.21 P_line_connecting-{F}(V0,V1,V2), distinct_points-{F}(V0,V1), apart_point_and_line-{F}(V3,V2) | distinct_points-{T}(V3,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #8: input, references = 3, size of lhs = 3:
% 1.01/1.21 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V0) | distinct_points-{T}(V3,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #9: input, references = 4, size of lhs = 3:
% 1.01/1.21 P_intersection_point-{F}(V0,V1,V2), convergent_lines-{F}(V0,V1), apart_point_and_line-{F}(V3,V1) | distinct_points-{T}(V3,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #10: input, references = 3, size of lhs = 2:
% 1.01/1.21 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)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #11: input, references = 3, size of lhs = 2:
% 1.01/1.21 #-{F} V1, apart_point_and_line-{F}(V2,V0) | apart_point_and_line-{T}(V1,V0), distinct_points-{T}(V2,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #12: input, references = 3, size of lhs = 2:
% 1.01/1.21 #-{F} V1, apart_point_and_line-{F}(V2,V0) | distinct_lines-{T}(V0,V1), apart_point_and_line-{T}(V2,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #13: input, references = 3, size of lhs = 1:
% 1.01/1.21 convergent_lines-{F}(V0,V1) | distinct_lines-{T}(V0,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #14: input, references = 7, size of lhs = 2:
% 1.01/1.21 P_parallel_through_point-{F}(V1,V0,V2), convergent_lines-{F}(V2,V1) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #15: input, references = 9, size of lhs = 2:
% 1.01/1.21 P_parallel_through_point-{F}(V1,V0,V2), apart_point_and_line-{F}(V0,V2) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #16: input, references = 8, size of lhs = 2:
% 1.01/1.21 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)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #17: input, references = 4, size of lhs = 0:
% 1.01/1.21 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #18: input, references = 4, size of lhs = 1:
% 1.01/1.21 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #19: input, references = 5, size of lhs = 1:
% 1.01/1.21 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V0,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #20: input, references = 5, size of lhs = 2:
% 1.01/1.21 pppp1-{F}(V0,V1), convergent_lines-{F}(V0,V1) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #21: input, references = 13, size of lhs = 2:
% 1.01/1.21 pppp0-{F}(V0,V1,V2), P_parallel_through_point-{F}(V2,V0,V3) | distinct_lines-{T}(V1,V3)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #22: input, references = 5, size of lhs = 3:
% 1.01/1.21 pppp0-{F}(V0,V1,V2), P_parallel_through_point-{F}(V2,V0,V3), apart_point_and_line-{F}(V0,V1) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #23: input, references = 3, size of lhs = 2:
% 1.01/1.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_line_connecting-{T}(V0,V1,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #24: input, references = 3, size of lhs = 2:
% 1.01/1.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection_point-{T}(V0,V1,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #25: input, references = 11, size of lhs = 2:
% 1.01/1.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_parallel_through_point-{T}(V0,V1,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 number of initial rules = 26
% 1.01/1.21
% 1.01/1.21 Simplifiers:
% 1.01/1.21 #26: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 P_line_connecting-{F}(V0,V1,V2), P_line_connecting-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #27: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 P_intersection_point-{F}(V0,V1,V2), P_intersection_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #28: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #29: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #30: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #31: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #32: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #33: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #34: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 number of simplifiers = 9
% 1.01/1.21
% 1.01/1.21 Learnt:
% 1.01/1.21 #38: disj( #16, input, input ), references = 6, size of lhs = 3:
% 1.01/1.21 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)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #45: disj( #4, #38+#14 ), references = 8, size of lhs = 4:
% 1.01/1.21 distinct_lines-{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) | distinct_lines-{T}(V0,V5)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #57: disj( #4, input ), references = 13, size of lhs = 1:
% 1.01/1.21 distinct_lines-{F}(V0,V1) | distinct_lines-{T}(V1,V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #72: disj( #16, #9+#0, #9+#0 ), references = 1, size of lhs = 5:
% 1.01/1.21 distinct_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), apart_point_and_line-{F}(V2,V1), convergent_lines-{F}(V3,V1), P_intersection_point-{F}(V3,V1,V4) | apart_point_and_line-{T}(V4,V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #73: disj( #16, input, #9+#0 ), references = 3, size of lhs = 4:
% 1.01/1.21 convergent_lines-{F}(V0,V1), P_intersection_point-{F}(V0,V1,V2), distinct_lines-{F}(V3,V1), P_parallel_through_point-{F}(V1,V4,V3) | apart_point_and_line-{T}(V2,V3)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #80: disj( #4, #57+#45+#57+#38+#73+#22 ), references = 1, size of lhs = 10:
% 1.01/1.21 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V4,V3,V5), P_parallel_through_point-{F}(V5,V6,V0), P_parallel_through_point-{F}(V7,V8,V5), P_parallel_through_point-{F}(V9,V8,V10), P_parallel_through_point-{F}(V10,V11,V0), P_intersection_point-{F}(V5,V10,V12), pppp0-{F}(V12,V0,V13), P_parallel_through_point-{F}(V13,V12,V14) | distinct_lines-{T}(V1,V10)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #94: disj( #5, input ), references = 11, size of lhs = 2:
% 1.01/1.21 convergent_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V1) | convergent_lines-{T}(V0,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #109: disj( #16, #94+#20, input ), references = 2, size of lhs = 4:
% 1.01/1.21 distinct_lines-{F}(V0,V1), pppp1-{F}(V0,V2), P_parallel_through_point-{F}(V2,V3,V1), P_parallel_through_point-{F}(V4,V5,V0) | apart_point_and_line-{T}(V5,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #110: disj( #16, #94+#14, input ), references = 5, size of lhs = 4:
% 1.01/1.21 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)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #115: exists( #25, #113 ), references = 1, size of lhs = 2:
% 1.01/1.21 P_parallel_through_point-{F}(V0,V1,V2), pppp0-{F}(V3,V2,V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #117: exists( #19, #114 ), references = 1, size of lhs = 2:
% 1.01/1.21 pppp1-{F}(V0,V1), P_parallel_through_point-{F}(V1,V2,V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #124: exists( #25, #122 ), references = 1, size of lhs = 6:
% 1.01/1.21 P_parallel_through_point-{F}(V0,V1,V2), pppp0-{F}(V1,V3,V2), P_parallel_through_point-{F}(V4,V5,V2), P_parallel_through_point-{F}(V4,V6,V3), P_parallel_through_point-{F}(V7,V8,V3), P_parallel_through_point-{F}(V9,V8,V2) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #132: exists( #25, #130 ), references = 1, size of lhs = 6:
% 1.01/1.21 P_parallel_through_point-{F}(V0,V1,V2), pppp0-{F}(V3,V2,V4), P_parallel_through_point-{F}(V5,V1,V6), P_parallel_through_point-{F}(V6,V7,V2), P_parallel_through_point-{F}(V4,V8,V6), P_parallel_through_point-{F}(V9,V3,V6) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #136: exists( #25, #134 ), references = 1, size of lhs = 3:
% 1.01/1.21 pppp1-{F}(V0,V1), pppp0-{F}(V2,V0,V1), P_parallel_through_point-{F}(V3,V2,V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #143: disj( #4, #45+#1 ), references = 4, size of lhs = 4:
% 1.01/1.21 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)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #149: exists( #25, #147 ), references = 1, size of lhs = 6:
% 1.01/1.21 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V4,V5,V2), pppp0-{F}(V6,V4,V7), P_parallel_through_point-{F}(V7,V8,V2), P_parallel_through_point-{F}(V9,V6,V2) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #178: disj( #16, #94+#94+#14, input ), references = 1, size of lhs = 6:
% 1.01/1.21 distinct_lines-{F}(V0,V1), P_parallel_through_point-{F}(V2,V3,V0), P_parallel_through_point-{F}(V2,V4,V5), P_parallel_through_point-{F}(V5,V6,V1), pppp0-{F}(V7,V1,V8), P_parallel_through_point-{F}(V8,V7,V9) | apart_point_and_line-{T}(V7,V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #183: exists( #25, #181 ), references = 1, size of lhs = 3:
% 1.01/1.21 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V2,V3,V4), pppp0-{F}(V5,V4,V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #214: exists( #25, #208 ), references = 1, size of lhs = 9:
% 1.01/1.21 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V4,V5,V2), pppp0-{F}(V6,V4,V7), P_parallel_through_point-{F}(V8,V9,V2), P_parallel_through_point-{F}(V10,V9,V11), P_parallel_through_point-{F}(V11,V12,V2), P_parallel_through_point-{F}(V13,V6,V11), P_parallel_through_point-{F}(V11,V14,V7) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #215: exists( #25, #209 ), references = 1, size of lhs = 10:
% 1.01/1.21 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V4,V5,V2), pppp0-{F}(V6,V4,V7), P_parallel_through_point-{F}(V8,V9,V2), P_parallel_through_point-{F}(V10,V9,V11), P_parallel_through_point-{F}(V11,V12,V2), P_parallel_through_point-{F}(V13,V6,V11), P_parallel_through_point-{F}(V14,V15,V11), P_parallel_through_point-{F}(V14,V16,V7) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #216: exists( #25, #210 ), references = 1, size of lhs = 9:
% 1.01/1.21 P_parallel_through_point-{F}(V0,V1,V2), P_parallel_through_point-{F}(V3,V1,V4), P_parallel_through_point-{F}(V4,V5,V2), pppp0-{F}(V6,V4,V2), P_intersection_point-{F}(V7,V2,V6), P_parallel_through_point-{F}(V7,V8,V2), P_parallel_through_point-{F}(V9,V6,V7), P_parallel_through_point-{F}(V10,V11,V2), P_parallel_through_point-{F}(V12,V11,V7) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #240: disj( #16, input, input ), references = 1, size of lhs = 4:
% 1.01/1.21 distinct_lines-{F}(V0,V1), pppp0-{F}(V2,V0,V3), P_parallel_through_point-{F}(V3,V2,V4), P_parallel_through_point-{F}(V5,V2,V1) | convergent_lines-{T}(V0,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #245: exists( #25, #243 ), references = 1, size of lhs = 2:
% 1.01/1.21 pppp1-{F}(V0,V1), pppp0-{F}(V2,V0,V1) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #247: exists( #19, #244 ), references = 1, size of lhs = 1:
% 1.01/1.21 pppp1-{F}(V0,V1) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #249: exists( #18, #246 ), references = 1, size of lhs = 1:
% 1.01/1.21 pppp2-{F}(V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #251: exists( #17, #248 ), references = 1, size of lhs = 0:
% 1.01/1.21 FALSE | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 number of learnt formulas = 26
% 1.01/1.21
% 1.01/1.21
% 1.01/1.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.21
% 1.01/1.21 randbase = 1
%------------------------------------------------------------------------------