TSTP Solution File: COM001-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 05:59:14 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 16:56:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 GeoParameters:
% 0.18/0.48
% 0.18/0.48 tptp_input = 1
% 0.18/0.48 tptp_output = 0
% 0.18/0.48 nonempty = 1
% 0.18/0.48 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 RuleSystem INPUT:
% 0.18/0.48
% 0.18/0.48 Initial Rules:
% 0.18/0.48 #0: input, references = 4, size of lhs = 1:
% 0.18/0.48 follows-{F}(V0,V1) | succeeds-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #1: input, references = 7, size of lhs = 2:
% 0.18/0.48 succeeds-{F}(V1,V0), succeeds-{F}(V2,V1) | succeeds-{T}(V2,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #2: input, references = 6, size of lhs = 3:
% 0.18/0.48 P_goto-{F}(V1,V2), has-{F}(V0,V2), labels-{F}(V1,V3) | succeeds-{T}(V3,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #3: input, references = 7, size of lhs = 2:
% 0.18/0.48 P_ifthen-{F}(V2,V0,V3), has-{F}(V1,V3) | succeeds-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #4: input, references = 4, size of lhs = 2:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1) | labels-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #5: input, references = 6, size of lhs = 7:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1), P_register_j-{F}(V2), P_n-{F}(V3), P_equal_function-{F}(V2,V3,V4), P_p4-{F}(V5), P_ifthen-{F}(V4,V5,V6) | has-{T}(V1,V6)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #6: input, references = 5, size of lhs = 9:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1), P_register_j-{F}(V2), P_n-{F}(V3), P_equal_function-{F}(V2,V3,V4), P_p4-{F}(V5), P_ifthen-{F}(V4,V5,V6), P_out-{F}(V7), P_goto-{F}(V7,V8) | has-{T}(V5,V8)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #7: input, references = 3, size of lhs = 10:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1), P_register_j-{F}(V2), P_n-{F}(V3), P_equal_function-{F}(V2,V3,V4), P_p4-{F}(V5), P_ifthen-{F}(V4,V5,V6), P_out-{F}(V7), P_goto-{F}(V7,V8), P_p5-{F}(V9) | follows-{T}(V9,V5)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #8: input, references = 4, size of lhs = 11:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1), P_register_j-{F}(V2), P_n-{F}(V3), P_equal_function-{F}(V2,V3,V4), P_p4-{F}(V5), P_ifthen-{F}(V4,V5,V6), P_out-{F}(V7), P_goto-{F}(V7,V8), P_p5-{F}(V9), P_p8-{F}(V10) | follows-{T}(V10,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #9: input, references = 5, size of lhs = 12:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1), P_register_j-{F}(V2), P_n-{F}(V3), P_equal_function-{F}(V2,V3,V4), P_p4-{F}(V5), P_ifthen-{F}(V4,V5,V6), P_out-{F}(V7), P_goto-{F}(V7,V8), P_p5-{F}(V9), P_p8-{F}(V10), P_goto-{F}(V0,V11) | has-{T}(V10,V11)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #10: input, references = 7, size of lhs = 13:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1), P_register_j-{F}(V2), P_n-{F}(V3), P_equal_function-{F}(V2,V3,V4), P_p4-{F}(V5), P_ifthen-{F}(V4,V5,V6), P_out-{F}(V7), P_goto-{F}(V7,V8), P_p5-{F}(V9), P_p8-{F}(V10), P_goto-{F}(V0,V11), succeeds-{F}(V1,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #11: input, references = 7, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_goto-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #12: input, references = 7, size of lhs = 2:
% 0.18/0.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_ifthen-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #13: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_loop-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #14: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_p3-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #15: input, references = 7, size of lhs = 2:
% 0.18/0.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_equal_function-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #16: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_register_j-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #17: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_n-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #18: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_p4-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #19: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_out-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #20: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_p5-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #21: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_p8-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of initial rules = 22
% 0.18/0.48
% 0.18/0.48 Simplifiers:
% 0.18/0.48 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 labels-{F}(V0,V1), labels-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 labels-{F}(V0,V1), labels-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_goto-{F}(V0,V1), P_goto-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_ifthen-{F}(V0,V1,V2), P_ifthen-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_loop-{F}(V0), P_loop-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_p3-{F}(V0), P_p3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_equal_function-{F}(V0,V1,V2), P_equal_function-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_register_j-{F}(V0), P_register_j-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_p4-{F}(V0), P_p4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_out-{F}(V0), P_out-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_p5-{F}(V0), P_p5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_p8-{F}(V0), P_p8-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of simplifiers = 13
% 0.18/0.48
% 0.18/0.48 Learnt:
% 0.18/0.48 #54: mergings( V3 == V6, V6 == V12, V7 == V13, V4 == V8, V8 == V15, V5 == V9, V9 == V16, V10 == V17, V11 == V18; #44 ), references = 1, size of lhs = 13:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1), labels-{F}(V2,V1), P_goto-{F}(V2,V3), P_register_j-{F}(V4), P_n-{F}(V5), P_equal_function-{F}(V4,V5,V6), P_p4-{F}(V7), P_out-{F}(V8), P_goto-{F}(V8,V3), P_p5-{F}(V9), P_p8-{F}(V10), P_goto-{F}(V0,V11) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #61: mergings( V3 == V4, V4 == V8, V5 == V9, V6 == V12, V7 == V13; #55 ), references = 1, size of lhs = 12:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1), labels-{F}(V2,V1), P_goto-{F}(V2,V3), P_register_j-{F}(V4), P_n-{F}(V5), P_p4-{F}(V6), P_out-{F}(V7), P_goto-{F}(V7,V3), P_p5-{F}(V8), P_p8-{F}(V9), P_goto-{F}(V0,V10) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #83: mergings( V3 == V6, V6 == V12, V7 == V13, V4 == V8, V8 == V14, V5 == V9, V9 == V15, V10 == V16, V11 == V17; #73 ), references = 1, size of lhs = 12:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1), P_register_j-{F}(V2), P_n-{F}(V3), P_equal_function-{F}(V2,V3,V4), P_p4-{F}(V5), P_out-{F}(V6), P_goto-{F}(V6,V7), P_p5-{F}(V8), P_p8-{F}(V9), P_goto-{F}(V0,V10), P_ifthen-{F}(V11,V1,V7) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #90: mergings( V3 == V4, V4 == V8, V5 == V9, V6 == V11, V7 == V12; #84 ), references = 1, size of lhs = 11:
% 0.18/0.48 P_loop-{F}(V0), P_p3-{F}(V1), P_register_j-{F}(V2), P_n-{F}(V3), P_p4-{F}(V4), P_out-{F}(V5), P_goto-{F}(V5,V6), P_p5-{F}(V7), P_p8-{F}(V8), P_goto-{F}(V0,V9), P_ifthen-{F}(V10,V1,V6) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #109: mergings( V3 == V6, V6 == V14, V13 == V23, V7 == V15, V4 == V8, V8 == V17, V5 == V9, V9 == V18, V10 == V19, V11 == V20, V12 == V21, V1 == V22; #96 ), references = 1, size of lhs = 13:
% 0.18/0.48 P_p4-{F}(V0), P_p8-{F}(V0), P_loop-{F}(V1), P_p3-{F}(V2), labels-{F}(V3,V2), P_goto-{F}(V3,V4), P_goto-{F}(V1,V4), P_register_j-{F}(V5), P_n-{F}(V6), P_equal_function-{F}(V5,V6,V7), P_out-{F}(V8), P_goto-{F}(V8,V9), P_p5-{F}(V10) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #119: mergings( V3 == V4, V4 == V11, V10 == V18, V5 == V12, V6 == V14, V7 == V15, V8 == V16, V9 == V17; #110 ), references = 1, size of lhs = 12:
% 0.18/0.48 P_p4-{F}(V0), P_p8-{F}(V0), P_loop-{F}(V1), P_p3-{F}(V2), labels-{F}(V3,V2), P_goto-{F}(V3,V4), P_goto-{F}(V1,V4), P_register_j-{F}(V5), P_n-{F}(V6), P_out-{F}(V7), P_goto-{F}(V7,V8), P_p5-{F}(V9) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #127: mergings( V2 == V0, V3 == V8, V4 == V11, V5 == V12, V6 == V13, V7 == V14; #120 ), references = 1, size of lhs = 10:
% 0.18/0.48 P_p4-{F}(V0), P_p8-{F}(V0), P_loop-{F}(V1), P_p3-{F}(V2), labels-{F}(V1,V2), P_register_j-{F}(V3), P_n-{F}(V4), P_out-{F}(V5), P_goto-{F}(V5,V6), P_p5-{F}(V7) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #133: mergings( V2 == V6, V3 == V7, V4 == V10, V5 == V11; #128 ), references = 1, size of lhs = 9:
% 0.18/0.48 P_p4-{F}(V0), P_p8-{F}(V0), P_loop-{F}(V1), P_p3-{F}(V2), labels-{F}(V1,V2), P_register_j-{F}(V3), P_n-{F}(V4), P_out-{F}(V5), P_p5-{F}(V6) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #160: mergings( V3 == V9, V9 == V19, V18 == V27, V10 == V17, V4 == V11, V11 == V21, V5 == V12, V12 == V22, V6 == V13, V7 == V14, V13 == V23, V14 == V24, V8 == V15, V15 == V25, V16 == V26; #144 ), references = 1, size of lhs = 13:
% 0.18/0.48 P_p3-{F}(V0), P_loop-{F}(V1), labels-{F}(V2,V0), P_goto-{F}(V2,V3), P_goto-{F}(V1,V3), P_register_j-{F}(V4), P_n-{F}(V5), P_equal_function-{F}(V4,V5,V6), P_p4-{F}(V7), P_out-{F}(V8), P_goto-{F}(V8,V9), P_p5-{F}(V10), P_p8-{F}(V11) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #173: mergings( V3 == V7, V7 == V15, V14 == V22, V8 == V13, V4 == V9, V5 == V10, V9 == V18, V10 == V19, V6 == V11, V11 == V20, V12 == V21; #161 ), references = 1, size of lhs = 12:
% 0.18/0.48 P_p3-{F}(V0), P_loop-{F}(V1), labels-{F}(V2,V0), P_goto-{F}(V2,V3), P_goto-{F}(V1,V3), P_register_j-{F}(V4), P_n-{F}(V5), P_p4-{F}(V6), P_out-{F}(V7), P_goto-{F}(V7,V8), P_p5-{F}(V9), P_p8-{F}(V10) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #184: mergings( V2 == V0, V6 == V11, V3 == V7, V4 == V8, V7 == V15, V8 == V16, V5 == V9, V9 == V17, V10 == V18; #174 ), references = 1, size of lhs = 10:
% 0.18/0.48 P_p3-{F}(V0), P_loop-{F}(V1), labels-{F}(V1,V0), P_register_j-{F}(V2), P_n-{F}(V3), P_p4-{F}(V4), P_out-{F}(V5), P_goto-{F}(V5,V6), P_p5-{F}(V7), P_p8-{F}(V8) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #191: mergings( V2 == V8, V4 == V7, V3 == V5, V5 == V12, V6 == V13; #185 ), references = 1, size of lhs = 9:
% 0.18/0.48 P_p3-{F}(V0), P_loop-{F}(V1), labels-{F}(V1,V0), P_register_j-{F}(V2), P_n-{F}(V3), P_p4-{F}(V4), P_out-{F}(V5), P_p5-{F}(V6), P_p8-{F}(V7) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #197: mergings( V1 == V6, V3 == V5, V2 == V4, V4 == V11; #192 ), references = 1, size of lhs = 8:
% 0.18/0.48 P_p3-{F}(V0), P_loop-{F}(V1), labels-{F}(V1,V0), P_register_j-{F}(V2), P_n-{F}(V3), P_p4-{F}(V4), P_out-{F}(V5), P_p5-{F}(V6) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #201: mergings( V1 == V4, V2 == V3; #198 ), references = 1, size of lhs = 7:
% 0.18/0.48 P_p3-{F}(V0), P_loop-{F}(V1), labels-{F}(V1,V0), P_register_j-{F}(V2), P_n-{F}(V3), P_p4-{F}(V4), P_out-{F}(V5) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #205: mergings( V1 == V4, V2 == V3; #202 ), references = 1, size of lhs = 6:
% 0.18/0.48 P_p3-{F}(V0), P_loop-{F}(V1), labels-{F}(V1,V0), P_register_j-{F}(V2), P_n-{F}(V3), P_p4-{F}(V4) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #209: mergings( V1 == V4, V2 == V3; #206 ), references = 1, size of lhs = 5:
% 0.18/0.48 P_p3-{F}(V0), P_loop-{F}(V1), labels-{F}(V1,V0), P_register_j-{F}(V2), P_n-{F}(V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #213: mergings( V1 == V4, V2 == V3; #210 ), references = 1, size of lhs = 4:
% 0.18/0.48 P_p3-{F}(V0), P_loop-{F}(V1), labels-{F}(V1,V0), P_register_j-{F}(V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #217: mergings( V1 == V4, V2 == V3; #214 ), references = 1, size of lhs = 3:
% 0.18/0.48 P_p3-{F}(V0), P_loop-{F}(V1), labels-{F}(V1,V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #221: mergings( V1 == V2; #219 ), references = 1, size of lhs = 1:
% 0.18/0.48 P_loop-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #223: exists( #13, #219 ), references = 1, size of lhs = 0:
% 0.18/0.48 FALSE | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of learnt formulas = 20
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 randbase = 1
%------------------------------------------------------------------------------