TSTP Solution File: SET985+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET985+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:17:02 EDT 2022
% Result : Theorem 4.08s 4.29s
% Output : Refutation 4.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET985+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 : Sat Jul 23 02:50:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.08/4.29 GeoParameters:
% 4.08/4.29
% 4.08/4.29 tptp_input = 1
% 4.08/4.29 tptp_output = 0
% 4.08/4.29 nonempty = 1
% 4.08/4.29 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.08/4.29 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.08/4.29
% 4.08/4.29
% 4.08/4.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.08/4.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.08/4.29
% 4.08/4.29 RuleSystem INPUT:
% 4.08/4.29
% 4.08/4.29 Initial Rules:
% 4.08/4.29 #0: input, references = 4, size of lhs = 1:
% 4.08/4.29 P_empty_set-{F}(V0) | empty-{T}(V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #1: input, references = 3, size of lhs = 1:
% 4.08/4.29 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #2: input, references = 3, size of lhs = 1:
% 4.08/4.29 pppp1-{F}(V0) | empty-{T}(V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #3: input, references = 3, size of lhs = 1:
% 4.08/4.29 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #4: input, references = 3, size of lhs = 2:
% 4.08/4.29 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #5: input, references = 3, size of lhs = 2:
% 4.08/4.29 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #6: input, references = 6, size of lhs = 2:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V0) | pppp0-{T}(V1,V2)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #7: input, references = 4, size of lhs = 4:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), pppp0-{F}(V1,V2), V3 == V0 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #8: input, references = 6, size of lhs = 4:
% 4.08/4.29 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), V1 == V0, V2 == V0 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #9: input, references = 9, size of lhs = 2:
% 4.08/4.29 P_empty_set-{F}(V0), #-{F} V2 | pppp0-{T}(V0,V2)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #10: input, references = 8, size of lhs = 2:
% 4.08/4.29 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1,V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #11: input, references = 8, size of lhs = 5:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), P_cartesian_product2-{F}(V5,V4,V6), subset-{F}(V3,V6), V3 == V0 | subset-{T}(V1,V5)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #12: input, references = 5, size of lhs = 5:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), P_cartesian_product2-{F}(V5,V4,V6), subset-{F}(V3,V6), V3 == V0 | subset-{T}(V2,V4)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #13: input, references = 4, size of lhs = 1:
% 4.08/4.29 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #14: input, references = 4, size of lhs = 1:
% 4.08/4.29 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #15: input, references = 4, size of lhs = 2:
% 4.08/4.29 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #16: input, references = 5, size of lhs = 1:
% 4.08/4.29 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #17: input, references = 9, size of lhs = 3:
% 4.08/4.29 pppp4-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V3), P_cartesian_product2-{F}(V1,V0,V4) | EXISTS V5: pppp3-{T}(V2,V3,V4,V5)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #18: input, references = 11, size of lhs = 4:
% 4.08/4.29 pppp4-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V3), P_cartesian_product2-{F}(V1,V0,V4), subset-{F}(V1,V2) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #19: input, references = 5, size of lhs = 3:
% 4.08/4.29 pppp3-{F}(V0,V1,V2,V3), P_cartesian_product2-{F}(V3,V0,V4), P_cartesian_product2-{F}(V0,V3,V5) | subset-{T}(V1,V4), subset-{T}(V2,V5)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #20: input, references = 4, size of lhs = 2:
% 4.08/4.29 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V0,V1)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #21: input, references = 4, size of lhs = 0:
% 4.08/4.29 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #22: input, references = 13, size of lhs = 2:
% 4.08/4.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 number of initial rules = 23
% 4.08/4.29
% 4.08/4.29 Simplifiers:
% 4.08/4.29 #23: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #24: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #25: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #26: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #27: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #28: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #29: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V1 == V4 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #30: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #31: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #32: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #33: unsound, references = 3, size of lhs = 3:
% 4.08/4.29 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 number of simplifiers = 11
% 4.08/4.29
% 4.08/4.29 Learnt:
% 4.08/4.29 #36: exists( #22, #7 ), references = 12, size of lhs = 2:
% 4.08/4.29 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | P_cartesian_product2-{T}(V1,V2,V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #42: disj( #19, input ), references = 3, size of lhs = 6:
% 4.08/4.29 pppp4-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V3), P_cartesian_product2-{F}(V1,V0,V4), P_cartesian_product2-{F}(V5,V6,V2), pppp3-{F}(V6,V1,V7,V5), P_cartesian_product2-{F}(V6,V5,V8) | subset-{T}(V7,V8)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #60: mergings( V2 == V6, V6 == V7, V0 == V8, V1 == V3, V3 == V9, V4 == V10, V8 == V11, V9 == V10, V10 == V12, V12 == V13; #49 ), references = 1, size of lhs = 4:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V2), pppp4-{F}(V1,V2,V0), P_cartesian_product2-{F}(V2,V1,V2) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #63: disj( #19, #12+#18 ), references = 7, size of lhs = 10:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, pppp4-{F}(V4,V2,V5), P_cartesian_product2-{F}(V4,V2,V6), P_cartesian_product2-{F}(V2,V4,V7), P_cartesian_product2-{F}(V8,V5,V9), P_cartesian_product2-{F}(V10,V11,V9), pppp3-{F}(V11,V3,V12,V10), P_cartesian_product2-{F}(V11,V10,V13) | subset-{T}(V12,V13)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #83: mergings( V2 == V6, V6 == V7, V7 == V8, V0 == V9, V1 == V4, V3 == V10, V4 == V11, V9 == V14, V11 == V13, V10 == V16, V13 == V17, V8 == V15; #70 ), references = 1, size of lhs = 7:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V0,V0), P_cartesian_product2-{F}(V2,V3,V2), pppp4-{F}(V3,V2,V0), P_cartesian_product2-{F}(V3,V2,V4), V4 == V0, P_cartesian_product2-{F}(V5,V2,V4) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #91: mergings( V3 == V4, V4 == V5, V5 == V6, V1 == V7, V7 == V9, V6 == V8; #84 ), references = 1, size of lhs = 4:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V0,V0), P_cartesian_product2-{F}(V2,V3,V2), pppp4-{F}(V3,V2,V0) | P_cartesian_product2-{T}(V3,V2,V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #116: mergings( V2 == V6, V6 == V7, V7 == V8, V0 == V9, V1 == V3, V3 == V10, V4 == V11, V9 == V14, V10 == V12, V12 == V17, V11 == V18, V8 == V15; #103 ), references = 1, size of lhs = 7:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V0,V1,V0), P_cartesian_product2-{F}(V2,V3,V3), pppp4-{F}(V2,V3,V0), P_cartesian_product2-{F}(V3,V2,V4), V4 == V0, P_cartesian_product2-{F}(V3,V5,V4) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #138: mergings( V2 == V6, V6 == V7, V7 == V8, V0 == V9, V1 == V10, V3 == V11, V4 == V12, V9 == V16, V10 == V15, V11 == V19, V12 == V20, V8 == V17; #125 ), references = 1, size of lhs = 9:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V0,V0), pppp4-{F}(V2,V3,V0), P_cartesian_product2-{F}(V2,V3,V4), V4 == V0, P_cartesian_product2-{F}(V5,V3,V4), P_cartesian_product2-{F}(V3,V2,V6), V6 == V0, P_cartesian_product2-{F}(V7,V3,V6) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #162: mergings( V2 == V6, V6 == V7, V7 == V8, V8 == V9, V0 == V12, V1 == V13, V3 == V14, V4 == V15, V9 == V11, V12 == V19, V13 == V17, V14 == V22, V15 == V23, V11 == V20; #147 ), references = 1, size of lhs = 10:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V0,V0), P_cartesian_product2-{F}(V0,V2,V0), pppp4-{F}(V3,V4,V0), P_cartesian_product2-{F}(V3,V4,V5), V5 == V0, P_cartesian_product2-{F}(V6,V4,V5), P_cartesian_product2-{F}(V4,V3,V7), V7 == V0, P_cartesian_product2-{F}(V4,V8,V7) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #174: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V9 == V12, V12 == V14, V8 == V10; #165 ), references = 1, size of lhs = 6:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V0,V0), pppp4-{F}(V2,V3,V0), P_cartesian_product2-{F}(V3,V2,V4), V4 == V0, P_cartesian_product2-{F}(V3,V5,V4) | P_cartesian_product2-{T}(V2,V3,V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #185: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #177 ), references = 1, size of lhs = 5:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V0,V0), pppp4-{F}(V2,V3,V0), V2 == V0, V3 == V0 | P_cartesian_product2-{T}(V3,V2,V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #190: exists( #22, #18 ), references = 2, size of lhs = 3:
% 4.08/4.29 subset-{F}(V0,V1), pppp4-{F}(V2,V0,V1), P_cartesian_product2-{F}(V0,V2,V3) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #192: exists( #22, #189 ), references = 3, size of lhs = 2:
% 4.08/4.29 subset-{F}(V0,V1), pppp4-{F}(V2,V0,V1) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #745: mergings( V3 == V4, V8 == V15, V6 == V13, V1 == V16; #738 ), references = 1, size of lhs = 11:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, P_cartesian_product2-{F}(V4,V2,V5), P_cartesian_product2-{F}(V2,V4,V6), pppp4-{F}(V4,V2,V7), P_cartesian_product2-{F}(V2,V8,V9), V9 == V0, pppp3-{F}(V7,V3,V9,V10), P_cartesian_product2-{F}(V7,V10,V11), P_cartesian_product2-{F}(V7,V12,V11) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #751: mergings( V3 == V4, V8 == V15, V6 == V13, V10 == V18, V1 == V16; #739 ), references = 1, size of lhs = 11:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, P_cartesian_product2-{F}(V4,V2,V5), pppp4-{F}(V4,V2,V6), P_cartesian_product2-{F}(V2,V4,V7), P_cartesian_product2-{F}(V2,V8,V9), V9 == V0, pppp3-{F}(V6,V3,V9,V10), P_cartesian_product2-{F}(V6,V10,V11), P_cartesian_product2-{F}(V6,V12,V11) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #758: mergings( V3 == V4, V8 == V15, V6 == V13, V9 == V18, V10 == V19, V1 == V16; #740 ), references = 1, size of lhs = 11:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, P_cartesian_product2-{F}(V2,V4,V5), V5 == V0, pppp4-{F}(V6,V2,V7), pppp3-{F}(V7,V3,V5,V8), P_cartesian_product2-{F}(V7,V8,V9), P_cartesian_product2-{F}(V7,V10,V9), P_cartesian_product2-{F}(V6,V2,V11), P_cartesian_product2-{F}(V2,V6,V12) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #765: mergings( V3 == V4, V8 == V14, V6 == V12; #759 ), references = 1, size of lhs = 9:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, P_cartesian_product2-{F}(V4,V2,V5), P_cartesian_product2-{F}(V2,V4,V6), pppp4-{F}(V4,V2,V7), P_cartesian_product2-{F}(V2,V8,V9), V9 == V0, pppp3-{F}(V7,V3,V9,V10) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #770: mergings( V3 == V4, V8 == V14, V6 == V12, V10 == V15; #760 ), references = 1, size of lhs = 9:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, P_cartesian_product2-{F}(V4,V2,V5), pppp4-{F}(V4,V2,V6), P_cartesian_product2-{F}(V2,V4,V7), P_cartesian_product2-{F}(V2,V8,V9), V9 == V0, pppp3-{F}(V6,V3,V9,V10) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #776: mergings( V3 == V4, V8 == V14, V6 == V12, V9 == V15, V10 == V16; #761 ), references = 1, size of lhs = 9:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, pppp4-{F}(V4,V2,V5), P_cartesian_product2-{F}(V4,V2,V6), P_cartesian_product2-{F}(V2,V4,V7), P_cartesian_product2-{F}(V2,V8,V9), V9 == V0, pppp3-{F}(V5,V3,V9,V10) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #787: mergings( V6 == V7, V0 == V10, V1 == V9, V3 == V11, V4 == V12, V10 == V13, V9 == V14; #777 ), references = 1, size of lhs = 8:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, P_cartesian_product2-{F}(V4,V2,V3), P_cartesian_product2-{F}(V2,V4,V5), V5 == V0, pppp4-{F}(V4,V2,V6), P_cartesian_product2-{F}(V2,V7,V5) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #796: mergings( V6 == V7, V0 == V10, V1 == V9, V3 == V11, V4 == V12, V10 == V13, V9 == V14, V12 == V15; #778 ), references = 1, size of lhs = 8:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, P_cartesian_product2-{F}(V4,V2,V3), pppp4-{F}(V4,V2,V5), P_cartesian_product2-{F}(V2,V4,V6), V6 == V0, P_cartesian_product2-{F}(V2,V7,V6) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #806: mergings( V6 == V7, V0 == V10, V1 == V9, V3 == V11, V4 == V12, V10 == V13, V9 == V14, V11 == V15, V12 == V16; #779 ), references = 1, size of lhs = 8:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, P_cartesian_product2-{F}(V4,V2,V3), pppp4-{F}(V4,V2,V5), P_cartesian_product2-{F}(V2,V4,V6), V6 == V0, P_cartesian_product2-{F}(V2,V7,V6) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #814: mergings( V3 == V4, V6 == V7, V0 == V8, V1 == V9; #807 ), references = 1, size of lhs = 5:
% 4.08/4.29 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), V3 == V0, pppp4-{F}(V2,V1,V4), P_cartesian_product2-{F}(V1,V5,V3) | P_cartesian_product2-{T}(V2,V1,V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #823: mergings( V3 == V4, V4 == V5, V1 == V7; #819 ), references = 1, size of lhs = 4:
% 4.08/4.29 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), V1 == V0, V2 == V0 | P_cartesian_product2-{T}(V2,V1,V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #830: mergings( V3 == V4, V4 == V5, V5 == V6; #826 ), references = 1, size of lhs = 4:
% 4.08/4.29 P_empty_set-{F}(V0), pppp5-{F}(V1,V2), V2 == V0, V1 == V0 | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #835: mergings( V2 == V3, V3 == V4, V4 == V5; #831 ), references = 1, size of lhs = 3:
% 4.08/4.29 pppp6-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | pppp5-{T}(V0,V1)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #842: exists( #16, #836 ), references = 2, size of lhs = 2:
% 4.08/4.29 P_empty_set-{F}(V0), pppp5-{F}(V1,V0) | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #852: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #847 ), references = 1, size of lhs = 1:
% 4.08/4.29 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 #857: exists( #21, #855 ), references = 1, size of lhs = 0:
% 4.08/4.29 FALSE | FALSE
% 4.08/4.29 (used 0 times, uses = {})
% 4.08/4.29
% 4.08/4.29 number of learnt formulas = 29
% 4.08/4.29
% 4.08/4.29
% 4.08/4.29 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.08/4.29
% 4.08/4.29 randbase = 1
%------------------------------------------------------------------------------