TSTP Solution File: COM004-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM004-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 05:59:15 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM004-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n021.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 16:55:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.41 GeoParameters:
% 0.19/0.41
% 0.19/0.41 tptp_input = 1
% 0.19/0.41 tptp_output = 0
% 0.19/0.41 nonempty = 1
% 0.19/0.41 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41
% 0.19/0.41 RuleSystem INPUT:
% 0.19/0.41
% 0.19/0.41 Initial Rules:
% 0.19/0.41 #0: input, references = 5, size of lhs = 8:
% 0.19/0.41 contradictory-{F}(V0,V1), P_or-{F}(V2,V1,V4), failure_node-{F}(V3,V4), P_parent_of-{F}(V5,V3,V6), siblings-{F}(V5,V3), P_or-{F}(V7,V2,V8), P_or-{F}(V7,V0,V9), failure_node-{F}(V5,V9) | failure_node-{T}(V6,V8)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #1: input, references = 3, size of lhs = 1:
% 0.19/0.41 P_negate-{F}(V0,V1) | contradictory-{T}(V1,V0)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #2: input, references = 5, size of lhs = 1:
% 0.19/0.41 P_negate-{F}(V0,V1) | contradictory-{T}(V0,V1)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #3: input, references = 4, size of lhs = 2:
% 0.19/0.41 P_left_child_of-{F}(V0,V1), P_right_child_of-{F}(V0,V2) | siblings-{T}(V1,V2)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #4: input, references = 6, size of lhs = 4:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_or-{F}(V1,V2,V3) | failure_node-{T}(V0,V3)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #5: input, references = 5, size of lhs = 7:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_or-{F}(V1,V2,V3), P_n_right-{F}(V4), P_negate-{F}(V2,V5), P_or-{F}(V1,V5,V6) | failure_node-{T}(V4,V6)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #6: input, references = 4, size of lhs = 10:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_or-{F}(V1,V2,V3), P_n_right-{F}(V4), P_negate-{F}(V2,V5), P_or-{F}(V1,V5,V6), P_n-{F}(V7), P_left_child_of-{F}(V7,V8), V0 == V8 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #7: input, references = 4, size of lhs = 11:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_or-{F}(V1,V2,V3), P_n_right-{F}(V4), P_negate-{F}(V2,V5), P_or-{F}(V1,V5,V6), P_n-{F}(V7), P_left_child_of-{F}(V7,V8), P_right_child_of-{F}(V7,V9), V4 == V9 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #8: input, references = 5, size of lhs = 12:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_or-{F}(V1,V2,V3), P_n_right-{F}(V4), P_negate-{F}(V2,V5), P_or-{F}(V1,V5,V6), P_n-{F}(V7), P_left_child_of-{F}(V7,V8), P_right_child_of-{F}(V7,V9), P_or-{F}(V1,V1,V10), failure_node-{F}(V11,V10) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #9: input, references = 4, size of lhs = 2:
% 0.19/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_parent_of-{T}(V0,V1,V2)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #10: input, references = 8, size of lhs = 2:
% 0.19/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #11: input, references = 7, size of lhs = 1:
% 0.19/0.41 #-{F} V0 | EXISTS V1: P_negate-{T}(V0,V1)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #12: input, references = 4, size of lhs = 1:
% 0.19/0.41 #-{F} V0 | EXISTS V1: P_left_child_of-{T}(V0,V1)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #13: input, references = 5, size of lhs = 1:
% 0.19/0.41 #-{F} V0 | EXISTS V1: P_right_child_of-{T}(V0,V1)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #14: input, references = 4, size of lhs = 0:
% 0.19/0.41 FALSE | EXISTS V0: P_n_left-{T}(V0)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #15: input, references = 4, size of lhs = 0:
% 0.19/0.41 FALSE | EXISTS V0: P_empty-{T}(V0)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #16: input, references = 4, size of lhs = 0:
% 0.19/0.41 FALSE | EXISTS V0: P_atom-{T}(V0)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #17: input, references = 5, size of lhs = 0:
% 0.19/0.41 FALSE | EXISTS V0: P_n_right-{T}(V0)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #18: input, references = 5, size of lhs = 0:
% 0.19/0.41 FALSE | EXISTS V0: P_n-{T}(V0)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 number of initial rules = 19
% 0.19/0.41
% 0.19/0.41 Simplifiers:
% 0.19/0.41 #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.41 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.41 P_parent_of-{F}(V0,V1,V2), P_parent_of-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.41 P_negate-{F}(V0,V1), P_negate-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.41 P_left_child_of-{F}(V0,V1), P_left_child_of-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.41 P_right_child_of-{F}(V0,V1), P_right_child_of-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.41 P_n_left-{F}(V0), P_n_left-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.41 P_empty-{F}(V0), P_empty-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.41 P_atom-{F}(V0), P_atom-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.41 P_n_right-{F}(V0), P_n_right-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.41 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 number of simplifiers = 10
% 0.19/0.41
% 0.19/0.41 Learnt:
% 0.19/0.41 #32: exists( #10, #6 ), references = 1, size of lhs = 9:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_or-{F}(V1,V2,V3), P_n_right-{F}(V4), P_negate-{F}(V2,V5), P_n-{F}(V6), P_left_child_of-{F}(V6,V7), V0 == V7 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #33: exists( #10, #7 ), references = 1, size of lhs = 10:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_or-{F}(V1,V2,V3), P_n_right-{F}(V4), P_negate-{F}(V2,V5), P_n-{F}(V6), P_left_child_of-{F}(V6,V7), P_right_child_of-{F}(V6,V8), V4 == V8 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #34: exists( #10, #8 ), references = 2, size of lhs = 11:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_or-{F}(V1,V2,V3), P_n_right-{F}(V4), P_negate-{F}(V2,V5), P_n-{F}(V6), P_left_child_of-{F}(V6,V7), P_right_child_of-{F}(V6,V8), P_or-{F}(V1,V1,V9), failure_node-{F}(V10,V9) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #39: exists( #10, #29 ), references = 1, size of lhs = 8:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_n_right-{F}(V3), P_negate-{F}(V2,V4), P_n-{F}(V5), P_left_child_of-{F}(V5,V6), V0 == V6 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #40: exists( #10, #30 ), references = 2, size of lhs = 9:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_n_right-{F}(V3), P_negate-{F}(V2,V4), P_n-{F}(V5), P_left_child_of-{F}(V5,V6), P_right_child_of-{F}(V5,V7), V3 == V7 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #42: mergings( V2 == V3; #38 ), references = 2, size of lhs = 8:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V1), P_n_right-{F}(V2), P_negate-{F}(V1,V3), P_n-{F}(V4), P_left_child_of-{F}(V4,V5), P_right_child_of-{F}(V4,V6) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #46: exists( #11, #36 ), references = 1, size of lhs = 7:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_n_right-{F}(V3), P_n-{F}(V4), P_left_child_of-{F}(V4,V5), V0 == V5 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #48: exists( #12, #43 ), references = 2, size of lhs = 5:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_n_right-{F}(V3), P_n-{F}(V4) | P_left_child_of-{T}(V4,V0)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #51: mergings( V2 == V5; #49 ), references = 1, size of lhs = 7:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V1), P_n_right-{F}(V2), P_n-{F}(V3), P_left_child_of-{F}(V3,V0), P_right_child_of-{F}(V3,V4) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #54: mergings( V2 == V5; #52 ), references = 1, size of lhs = 6:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V1), P_n_right-{F}(V2), P_n-{F}(V3), P_left_child_of-{F}(V3,V0) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #61: mergings( V1 == V5, V2 == V6, V3 == V6, V4 == V7; #56 ), references = 1, size of lhs = 4:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V1), P_n_right-{F}(V2) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #66: mergings( V1 == V4, V2 == V5, V3 == V5; #62 ), references = 1, size of lhs = 3:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V1) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #69: mergings( V2 == V6; #67 ), references = 1, size of lhs = 8:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_n_right-{F}(V3), P_n-{F}(V4), P_left_child_of-{F}(V4,V0), P_right_child_of-{F}(V4,V5), V3 == V5 | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #72: mergings( V2 == V6; #70 ), references = 1, size of lhs = 6:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_n_right-{F}(V3), P_n-{F}(V4), P_left_child_of-{F}(V4,V0) | P_right_child_of-{T}(V4,V3)
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #88: mergings( V6 == V10, V3 == V4, V4 == V8, V5 == V9, V8 == V12; #81 ), references = 1, size of lhs = 15:
% 0.19/0.41 P_n_left-{F}(V0), siblings-{F}(V0,V1), P_n_right-{F}(V1), P_empty-{F}(V2), P_atom-{F}(V3), P_negate-{F}(V3,V4), P_or-{F}(V2,V4,V5), P_n-{F}(V6), P_left_child_of-{F}(V6,V0), P_right_child_of-{F}(V6,V7), P_or-{F}(V2,V2,V8), P_parent_of-{F}(V0,V1,V9), contradictory-{F}(V3,V10), P_or-{F}(V11,V10,V5), P_or-{F}(V2,V11,V8) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #95: mergings( V6 == V10, V7 == V11, V3 == V4, V4 == V8, V5 == V9, V8 == V13; #82 ), references = 1, size of lhs = 15:
% 0.19/0.41 P_n_left-{F}(V0), siblings-{F}(V0,V1), P_n_right-{F}(V1), P_empty-{F}(V2), P_atom-{F}(V3), P_negate-{F}(V3,V4), P_or-{F}(V2,V4,V5), P_n-{F}(V6), P_left_child_of-{F}(V6,V0), P_right_child_of-{F}(V6,V7), P_or-{F}(V2,V2,V8), P_parent_of-{F}(V0,V1,V9), contradictory-{F}(V3,V10), P_or-{F}(V11,V10,V5), P_or-{F}(V2,V11,V8) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #102: mergings( V3 == V4, V4 == V6, V5 == V8, V6 == V10; #97 ), references = 1, size of lhs = 12:
% 0.19/0.41 P_n_left-{F}(V0), siblings-{F}(V0,V1), P_n_right-{F}(V1), P_empty-{F}(V2), P_atom-{F}(V3), P_negate-{F}(V3,V4), contradictory-{F}(V3,V4), P_n-{F}(V5), P_left_child_of-{F}(V5,V0), P_right_child_of-{F}(V5,V6), P_parent_of-{F}(V0,V1,V7), P_or-{F}(V2,V2,V8) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #108: mergings( V1 == V9, V3 == V4, V4 == V6, V5 == V8, V6 == V11; #96 ), references = 1, size of lhs = 12:
% 0.19/0.41 P_n_left-{F}(V0), siblings-{F}(V0,V1), P_n_right-{F}(V1), P_empty-{F}(V2), P_atom-{F}(V3), contradictory-{F}(V3,V4), P_negate-{F}(V3,V4), P_n-{F}(V5), P_left_child_of-{F}(V5,V0), P_right_child_of-{F}(V5,V6), P_parent_of-{F}(V0,V1,V7), P_or-{F}(V2,V2,V8) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #115: mergings( V2 == V3, V3 == V5, V4 == V7, V5 == V10; #109 ), references = 1, size of lhs = 11:
% 0.19/0.41 P_n_left-{F}(V0), siblings-{F}(V0,V1), P_n_right-{F}(V1), P_empty-{F}(V2), P_atom-{F}(V3), P_negate-{F}(V3,V4), contradictory-{F}(V3,V4), P_n-{F}(V5), P_left_child_of-{F}(V5,V0), P_right_child_of-{F}(V5,V6), P_parent_of-{F}(V0,V1,V7) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #121: mergings( V7 == V9, V2 == V3, V3 == V5, V4 == V8, V5 == V11; #110 ), references = 1, size of lhs = 11:
% 0.19/0.41 P_n_left-{F}(V0), siblings-{F}(V0,V1), P_n_right-{F}(V1), P_empty-{F}(V2), P_atom-{F}(V3), contradictory-{F}(V3,V4), P_negate-{F}(V3,V4), P_n-{F}(V5), P_left_child_of-{F}(V5,V0), P_right_child_of-{F}(V5,V6), P_parent_of-{F}(V0,V1,V7) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #128: mergings( V0 == V3, V3 == V4, V1 == V7, V4 == V10; #122 ), references = 1, size of lhs = 10:
% 0.19/0.41 P_n_left-{F}(V0), siblings-{F}(V0,V1), P_n_right-{F}(V1), P_empty-{F}(V2), P_atom-{F}(V3), P_negate-{F}(V3,V4), contradictory-{F}(V3,V4), P_n-{F}(V5), P_left_child_of-{F}(V5,V0), P_right_child_of-{F}(V5,V6) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #134: mergings( V7 == V9, V0 == V3, V3 == V4, V1 == V8, V4 == V11; #123 ), references = 1, size of lhs = 10:
% 0.19/0.41 P_n_left-{F}(V0), siblings-{F}(V0,V1), P_n_right-{F}(V1), P_empty-{F}(V2), P_atom-{F}(V3), contradictory-{F}(V3,V4), P_negate-{F}(V3,V4), P_n-{F}(V5), P_left_child_of-{F}(V5,V0), P_right_child_of-{F}(V5,V6) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #143: mergings( V2 == V3, V3 == V5, V4 == V7, V5 == V9; #137 ), references = 1, size of lhs = 8:
% 0.19/0.41 P_n_left-{F}(V0), siblings-{F}(V0,V1), P_n_right-{F}(V1), P_empty-{F}(V2), P_atom-{F}(V3), P_n-{F}(V4), P_left_child_of-{F}(V4,V0), P_right_child_of-{F}(V4,V5) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #148: mergings( V2 == V3, V3 == V5, V4 == V7, V5 == V9; #138 ), references = 1, size of lhs = 8:
% 0.19/0.41 P_n_left-{F}(V0), siblings-{F}(V0,V1), P_n_right-{F}(V1), P_empty-{F}(V2), P_atom-{F}(V3), P_n-{F}(V4), P_left_child_of-{F}(V4,V0), P_right_child_of-{F}(V4,V5) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #166: mergings( V4 == V7, V7 == V9, V9 == V10, V1 == V5, V5 == V11, V2 == V6, V6 == V12, V3 == V8, V8 == V13; #155 ), references = 1, size of lhs = 4:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2), P_n_right-{F}(V3) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #176: mergings( V3 == V6, V6 == V7, V7 == V8, V1 == V4, V4 == V9, V2 == V5, V5 == V10; #167 ), references = 1, size of lhs = 3:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1), P_atom-{F}(V2) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #184: mergings( V2 == V4, V4 == V5, V5 == V6, V1 == V3, V3 == V7; #177 ), references = 1, size of lhs = 2:
% 0.19/0.41 P_n_left-{F}(V0), P_empty-{F}(V1) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #190: mergings( V1 == V2, V2 == V3, V3 == V4; #185 ), references = 1, size of lhs = 1:
% 0.19/0.41 P_n_left-{F}(V0) | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 #193: exists( #14, #185 ), references = 1, size of lhs = 0:
% 0.19/0.41 FALSE | FALSE
% 0.19/0.41 (used 0 times, uses = {})
% 0.19/0.41
% 0.19/0.41 number of learnt formulas = 29
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41
% 0.19/0.41 randbase = 1
%------------------------------------------------------------------------------