TSTP Solution File: ROB021-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ROB021-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:15:12 EDT 2022
% Result : Unsatisfiable 4.37s 4.58s
% Output : Refutation 4.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 11:38:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.37/4.58 GeoParameters:
% 4.37/4.58
% 4.37/4.58 tptp_input = 1
% 4.37/4.58 tptp_output = 0
% 4.37/4.58 nonempty = 1
% 4.37/4.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.37/4.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.37/4.58
% 4.37/4.58
% 4.37/4.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.37/4.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.37/4.58
% 4.37/4.58 RuleSystem INPUT:
% 4.37/4.58
% 4.37/4.58 Initial Rules:
% 4.37/4.58 #0: input, references = 5, size of lhs = 3:
% 4.37/4.58 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #1: input, references = 5, size of lhs = 5:
% 4.37/4.58 P_add-{F}(V0,V1,V3), P_add-{F}(V3,V2,V4), P_add-{F}(V1,V2,V5), P_add-{F}(V0,V5,V6), V4 == V6 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #2: input, references = 9, size of lhs = 8:
% 4.37/4.58 P_add-{F}(V0,V1,V2), P_negate-{F}(V2,V3), P_negate-{F}(V1,V4), P_add-{F}(V0,V4,V5), P_negate-{F}(V5,V6), P_add-{F}(V3,V6,V7), P_negate-{F}(V7,V8), V8 == V0 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #3: input, references = 4, size of lhs = 3:
% 4.37/4.58 P_negate-{F}(V0,V3), P_negate-{F}(V1,V3), V0 == V1 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #4: input, references = 4, size of lhs = 9:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V3), P_negate-{F}(V3,V4), P_negate-{F}(V0,V5), P_add-{F}(V5,V2,V6), P_negate-{F}(V6,V7), P_add-{F}(V4,V7,V1) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #5: input, references = 19, size of lhs = 2:
% 4.37/4.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #6: input, references = 17, size of lhs = 1:
% 4.37/4.58 #-{F} V0 | EXISTS V1: P_negate-{T}(V0,V1)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #7: input, references = 4, size of lhs = 0:
% 4.37/4.58 FALSE | EXISTS V0: P_a-{T}(V0)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #8: input, references = 4, size of lhs = 0:
% 4.37/4.58 FALSE | EXISTS V0: P_b-{T}(V0)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 number of initial rules = 9
% 4.37/4.58
% 4.37/4.58 Simplifiers:
% 4.37/4.58 #9: unsound, references = 3, size of lhs = 3:
% 4.37/4.58 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #10: unsound, references = 3, size of lhs = 3:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V0,V3), V1 == V3 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #11: unsound, references = 3, size of lhs = 3:
% 4.37/4.58 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #12: unsound, references = 3, size of lhs = 3:
% 4.37/4.58 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 number of simplifiers = 4
% 4.37/4.58
% 4.37/4.58 Learnt:
% 4.37/4.58 #14: exists( #5, #1 ), references = 10, size of lhs = 3:
% 4.37/4.58 P_add-{F}(V0,V1,V2), P_add-{F}(V2,V3,V4), P_add-{F}(V1,V3,V5) | P_add-{T}(V0,V5,V4)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #17: exists( #5, #0 ), references = 33, size of lhs = 1:
% 4.37/4.58 P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #18: exists( #5, #1 ), references = 23, size of lhs = 3:
% 4.37/4.58 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V3,V4), P_add-{F}(V0,V4,V5) | P_add-{T}(V2,V3,V5)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #21: exists( #6, #2 ), references = 9, size of lhs = 6:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_add-{F}(V4,V6,V7) | P_negate-{T}(V7,V2)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #25: exists( #5, #23 ), references = 13, size of lhs = 6:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_negate-{F}(V4,V5), P_add-{F}(V3,V1,V6), P_negate-{F}(V6,V7) | P_add-{T}(V7,V5,V2)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #30: mergings( V4 == V5; #28 ), references = 2, size of lhs = 11:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_add-{F}(V0,V2,V3), P_negate-{F}(V0,V4), P_add-{F}(V4,V2,V5), P_negate-{F}(V5,V6), P_add-{F}(V2,V7,V3), P_negate-{F}(V7,V8), P_add-{F}(V2,V8,V9), P_negate-{F}(V9,V6) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #34: mergings( V4 == V7; #32 ), references = 4, size of lhs = 8:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_negate-{F}(V0,V3), P_add-{F}(V3,V2,V4), P_negate-{F}(V4,V5), P_add-{F}(V2,V3,V6), P_negate-{F}(V6,V5) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #69: exists( #5, #64 ), references = 1, size of lhs = 9:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_negate-{F}(V0,V2), P_negate-{F}(V3,V2), P_negate-{F}(V4,V2), P_negate-{F}(V5,V6), P_add-{F}(V7,V5,V3), P_add-{F}(V7,V6,V4) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #70: exists( #5, #65 ), references = 1, size of lhs = 12:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_negate-{F}(V0,V2), P_add-{F}(V0,V2,V3), P_add-{F}(V2,V4,V3), P_negate-{F}(V4,V2), P_negate-{F}(V5,V2), P_negate-{F}(V6,V2), P_negate-{F}(V7,V8), P_add-{F}(V9,V7,V5), P_add-{F}(V9,V8,V6) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #80: mergings( V5 == V8; #78 ), references = 2, size of lhs = 10:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_negate-{F}(V5,V6), P_negate-{F}(V7,V6), P_add-{F}(V8,V9,V7), V3 == V8, P_negate-{F}(V9,V10), P_add-{F}(V8,V10,V4) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #89: exists( #5, #87 ), references = 1, size of lhs = 11:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_negate-{F}(V7,V6), P_add-{F}(V4,V7,V8), P_negate-{F}(V8,V9), P_add-{F}(V9,V2,V10), P_negate-{F}(V10,V11), V11 == V4 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #99: exists( #6, #80 ), references = 4, size of lhs = 8:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V6,V7,V5), V3 == V6, P_negate-{F}(V7,V8), P_add-{F}(V6,V8,V4) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #153: exists( #6, #147 ), references = 1, size of lhs = 11:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_negate-{F}(V4,V5), P_add-{F}(V3,V1,V6), P_negate-{F}(V7,V5), P_negate-{F}(V8,V9), P_add-{F}(V10,V8,V7), P_add-{F}(V10,V9,V6), P_negate-{F}(V11,V10), V2 == V11 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #155: mergings( V5 == V8; #151 ), references = 2, size of lhs = 10:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_negate-{F}(V4,V5), P_add-{F}(V3,V1,V6), P_negate-{F}(V7,V5), P_negate-{F}(V8,V9), P_add-{F}(V10,V8,V7), V3 == V10, P_add-{F}(V10,V9,V6) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #158: exists( #6, #150 ), references = 2, size of lhs = 9:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_negate-{F}(V6,V7), P_add-{F}(V8,V6,V4), P_add-{F}(V8,V7,V5), P_negate-{F}(V9,V8), V2 == V9 | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #160: mergings( V5 == V7; #157 ), references = 7, size of lhs = 8:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_negate-{F}(V6,V7), P_add-{F}(V8,V6,V4), V3 == V8, P_add-{F}(V8,V7,V5) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #176: exists( #5, #170 ), references = 1, size of lhs = 9:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V0,V2,V1), P_add-{F}(V3,V0,V4), P_add-{F}(V5,V4,V6), P_add-{F}(V6,V2,V7), P_negate-{F}(V6,V8), P_negate-{F}(V7,V9), P_add-{F}(V8,V9,V10), P_negate-{F}(V10,V11) | P_add-{T}(V5,V3,V11)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #177: exists( #5, #171 ), references = 1, size of lhs = 9:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V4,V6,V5), P_negate-{F}(V7,V8), P_add-{F}(V7,V6,V8), P_add-{F}(V9,V7,V10), P_add-{F}(V11,V10,V4) | P_add-{T}(V11,V9,V3)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #178: exists( #5, #172 ), references = 1, size of lhs = 11:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_negate-{F}(V4,V5), P_add-{F}(V3,V1,V6), P_negate-{F}(V7,V5), P_add-{F}(V7,V8,V6), P_negate-{F}(V9,V10), P_add-{F}(V9,V8,V10), P_add-{F}(V11,V9,V12), P_add-{F}(V13,V12,V7) | P_add-{T}(V13,V11,V3)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #217: exists( #5, #213 ), references = 1, size of lhs = 10:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_add-{F}(V4,V5,V3), P_add-{F}(V5,V6,V7), P_add-{F}(V6,V2,V8), V8 == V3, P_negate-{F}(V9,V8), P_add-{F}(V8,V1,V10), P_negate-{F}(V6,V11), P_add-{F}(V3,V11,V10) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #218: exists( #5, #214 ), references = 3, size of lhs = 10:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_add-{F}(V4,V5,V3), P_negate-{F}(V6,V7), V7 == V3, P_add-{F}(V7,V1,V8), P_add-{F}(V3,V9,V8), P_negate-{F}(V9,V10), P_add-{F}(V10,V2,V7), P_add-{F}(V5,V10,V11) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #286: exists( #5, #282 ), references = 1, size of lhs = 17:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_add-{F}(V7,V8,V6), P_add-{F}(V8,V4,V9), P_add-{F}(V10,V7,V11), P_add-{F}(V2,V12,V11), P_negate-{F}(V13,V11), P_add-{F}(V14,V10,V9), P_negate-{F}(V15,V14), P_add-{F}(V12,V15,V16), V11 == V16, P_add-{F}(V16,V11,V11), P_add-{F}(V17,V18,V16), P_add-{F}(V18,V2,V19) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #287: exists( #5, #280 ), references = 1, size of lhs = 15:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_negate-{F}(V7,V4), P_negate-{F}(V8,V6), P_add-{F}(V9,V10,V6), P_add-{F}(V10,V4,V11), P_add-{F}(V12,V13,V11), P_add-{F}(V13,V9,V14), P_negate-{F}(V15,V16), P_add-{F}(V17,V15,V7), V2 == V17, P_add-{F}(V17,V16,V8) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #288: exists( #5, #281 ), references = 3, size of lhs = 16:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_add-{F}(V7,V8,V6), P_add-{F}(V8,V4,V9), P_add-{F}(V10,V11,V9), P_add-{F}(V11,V7,V12), P_negate-{F}(V13,V14), P_add-{F}(V2,V13,V15), P_add-{F}(V2,V14,V16), P_negate-{F}(V17,V18), P_add-{F}(V19,V17,V15), V2 == V19, P_add-{F}(V19,V18,V16) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #337: exists( #6, #332 ), references = 1, size of lhs = 11:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_negate-{F}(V4,V3), P_add-{F}(V5,V1,V4), P_add-{F}(V5,V0,V6), P_add-{F}(V3,V6,V7), P_negate-{F}(V8,V5), P_negate-{F}(V9,V10), P_add-{F}(V11,V9,V7), V3 == V11, P_add-{F}(V11,V10,V8) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #338: exists( #6, #333 ), references = 1, size of lhs = 19:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_negate-{F}(V4,V5), P_add-{F}(V6,V4,V7), P_add-{F}(V6,V5,V8), P_negate-{F}(V8,V9), P_add-{F}(V9,V0,V10), P_add-{F}(V9,V1,V11), P_negate-{F}(V11,V12), V12 == V6, P_add-{F}(V12,V10,V7), P_add-{F}(V12,V2,V13), P_negate-{F}(V13,V14), P_add-{F}(V12,V3,V15), P_negate-{F}(V15,V16), P_add-{F}(V17,V18,V16), P_add-{F}(V18,V14,V19), P_add-{F}(V20,V21,V19), P_add-{F}(V21,V17,V22) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #357: exists( #5, #353 ), references = 1, size of lhs = 17:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_add-{F}(V7,V2,V8), V2 == V8, P_negate-{F}(V9,V10), P_add-{F}(V2,V9,V11), P_add-{F}(V2,V11,V12), P_add-{F}(V8,V13,V12), P_negate-{F}(V13,V14), P_add-{F}(V14,V7,V10), P_add-{F}(V15,V16,V6), P_add-{F}(V16,V4,V17), P_add-{F}(V14,V18,V17), P_add-{F}(V18,V15,V8) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #358: exists( #5, #354 ), references = 1, size of lhs = 26:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_add-{F}(V7,V2,V8), V2 == V8, P_negate-{F}(V9,V10), P_add-{F}(V2,V9,V11), P_add-{F}(V2,V11,V12), P_add-{F}(V8,V13,V12), P_negate-{F}(V13,V14), P_add-{F}(V14,V7,V10), P_add-{F}(V15,V16,V6), P_add-{F}(V16,V4,V17), P_add-{F}(V14,V18,V17), P_add-{F}(V18,V15,V8), P_negate-{F}(V19,V20), P_add-{F}(V2,V19,V21), P_negate-{F}(V21,V22), P_add-{F}(V2,V20,V23), P_negate-{F}(V23,V24), P_add-{F}(V25,V26,V24), P_add-{F}(V26,V22,V27), P_add-{F}(V28,V29,V27), P_add-{F}(V29,V25,V30) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #365: exists( #5, #361 ), references = 1, size of lhs = 17:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_add-{F}(V2,V7,V8), P_negate-{F}(V8,V9), P_add-{F}(V2,V10,V11), P_negate-{F}(V10,V12), P_add-{F}(V9,V13,V12), P_add-{F}(V13,V2,V14), V2 == V14, P_add-{F}(V7,V14,V11), P_add-{F}(V15,V16,V6), P_add-{F}(V16,V4,V17), P_add-{F}(V9,V18,V17), P_add-{F}(V18,V15,V14) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #366: exists( #5, #362 ), references = 1, size of lhs = 26:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_add-{F}(V2,V7,V8), P_negate-{F}(V8,V9), P_add-{F}(V2,V10,V11), P_negate-{F}(V10,V12), P_add-{F}(V9,V13,V12), P_add-{F}(V13,V2,V14), V2 == V14, P_add-{F}(V7,V14,V11), P_add-{F}(V15,V16,V6), P_add-{F}(V16,V4,V17), P_add-{F}(V9,V18,V17), P_add-{F}(V18,V15,V14), P_negate-{F}(V19,V20), P_add-{F}(V2,V19,V21), P_negate-{F}(V21,V22), P_add-{F}(V2,V20,V23), P_negate-{F}(V23,V24), P_add-{F}(V25,V26,V24), P_add-{F}(V26,V22,V27), P_add-{F}(V28,V29,V27), P_add-{F}(V29,V25,V30) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #376: exists( #5, #372 ), references = 1, size of lhs = 8:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_negate-{F}(V5,V6), P_add-{F}(V7,V5,V4), V3 == V7, P_add-{F}(V7,V8,V1), P_add-{F}(V8,V3,V6) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #377: exists( #5, #373 ), references = 1, size of lhs = 16:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_negate-{F}(V3,V4), P_add-{F}(V2,V1,V5), P_negate-{F}(V5,V6), P_add-{F}(V2,V7,V8), P_negate-{F}(V9,V8), P_add-{F}(V7,V10,V11), V2 == V10, P_negate-{F}(V12,V11), P_add-{F}(V2,V12,V13), P_add-{F}(V10,V9,V13), P_add-{F}(V14,V15,V6), P_add-{F}(V15,V4,V16), P_add-{F}(V17,V18,V16), P_add-{F}(V18,V14,V19) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #396: exists( #6, #391 ), references = 1, size of lhs = 12:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_negate-{F}(V4,V5), P_negate-{F}(V5,V6), P_add-{F}(V6,V0,V7), P_add-{F}(V6,V1,V8), P_negate-{F}(V8,V9), P_add-{F}(V9,V2,V10), V5 == V10, P_add-{F}(V11,V9,V10), P_add-{F}(V5,V3,V12), P_add-{F}(V10,V7,V12) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #397: exists( #6, #390 ), references = 1, size of lhs = 13:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_negate-{F}(V5,V6), P_negate-{F}(V7,V8), P_negate-{F}(V9,V10), P_add-{F}(V10,V7,V11), P_add-{F}(V10,V8,V12), P_add-{F}(V13,V2,V11), P_add-{F}(V13,V6,V14), V10 == V14, P_add-{F}(V14,V4,V12) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #398: exists( #6, #392 ), references = 1, size of lhs = 13:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_negate-{F}(V5,V6), P_negate-{F}(V7,V8), P_negate-{F}(V9,V10), P_add-{F}(V10,V7,V11), P_add-{F}(V10,V8,V12), P_add-{F}(V13,V2,V12), P_add-{F}(V13,V6,V14), V10 == V14, P_add-{F}(V14,V4,V11) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #430: exists( #6, #34 ), references = 3, size of lhs = 6:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_negate-{F}(V0,V3), P_add-{F}(V3,V2,V4), P_add-{F}(V2,V3,V4) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #432: exists( #5, #429 ), references = 1, size of lhs = 4:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_negate-{F}(V0,V2) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #434: exists( #6, #431 ), references = 1, size of lhs = 2:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #445: exists( #6, #439 ), references = 1, size of lhs = 8:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V0,V2), P_negate-{F}(V3,V2), P_negate-{F}(V4,V5), P_add-{F}(V6,V4,V1), P_add-{F}(V6,V5,V3), P_negate-{F}(V7,V6) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #447: mergings( V7 == V9; #443 ), references = 1, size of lhs = 8:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V0,V2), P_negate-{F}(V3,V2), P_negate-{F}(V4,V5), P_add-{F}(V6,V4,V1), P_add-{F}(V6,V5,V3), P_negate-{F}(V7,V6) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #478: exists( #5, #476 ), references = 1, size of lhs = 8:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V2,V3,V1), P_negate-{F}(V4,V5), V5 == V3, P_add-{F}(V5,V2,V6), P_add-{F}(V5,V0,V7), P_negate-{F}(V6,V8), P_add-{F}(V3,V8,V7) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #517: exists( #6, #513 ), references = 1, size of lhs = 13:
% 4.37/4.58 P_negate-{F}(V0,V1), P_negate-{F}(V2,V3), P_negate-{F}(V4,V5), P_add-{F}(V5,V2,V6), P_add-{F}(V5,V3,V7), P_negate-{F}(V7,V8), P_add-{F}(V8,V0,V9), V4 == V9, P_add-{F}(V8,V1,V10), P_negate-{F}(V10,V11), P_add-{F}(V12,V7,V6), P_add-{F}(V12,V11,V13), P_negate-{F}(V13,V11) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #524: mergings( V0 == V3, V3 == V4, V1 == V6, V4 == V7, V6 == V8; #518 ), references = 1, size of lhs = 3:
% 4.37/4.58 P_negate-{F}(V0,V1), P_add-{F}(V1,V1,V2), P_negate-{F}(V2,V1) | P_add-{T}(V1,V2,V0)
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #548: exists( #5, #544 ), references = 1, size of lhs = 4:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V1,V2), P_negate-{F}(V0,V3) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #550: exists( #6, #547 ), references = 1, size of lhs = 3:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1), P_negate-{F}(V0,V2) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #552: exists( #6, #549 ), references = 1, size of lhs = 2:
% 4.37/4.58 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #554: exists( #8, #551 ), references = 1, size of lhs = 1:
% 4.37/4.58 P_a-{F}(V0) | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 #556: exists( #7, #553 ), references = 1, size of lhs = 0:
% 4.37/4.58 FALSE | FALSE
% 4.37/4.58 (used 0 times, uses = {})
% 4.37/4.58
% 4.37/4.58 number of learnt formulas = 48
% 4.37/4.58
% 4.37/4.58
% 4.37/4.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.37/4.58
% 4.37/4.58 randbase = 1
%------------------------------------------------------------------------------