TSTP Solution File: SET971+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET971+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:17:01 EDT 2022
% Result : Theorem 10.13s 10.31s
% Output : Refutation 10.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET971+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Jul 23 02:12:02 EDT 2022
% 0.11/0.33 % CPUTime :
% 10.13/10.31 GeoParameters:
% 10.13/10.31
% 10.13/10.31 tptp_input = 1
% 10.13/10.31 tptp_output = 0
% 10.13/10.31 nonempty = 1
% 10.13/10.31 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.13/10.31 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 10.13/10.31
% 10.13/10.31
% 10.13/10.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.13/10.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.13/10.31
% 10.13/10.31 RuleSystem INPUT:
% 10.13/10.31
% 10.13/10.31 Initial Rules:
% 10.13/10.31 #0: input, references = 4, size of lhs = 3:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #1: input, references = 4, size of lhs = 2:
% 10.13/10.31 P_set_intersection2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #2: input, references = 3, size of lhs = 0:
% 10.13/10.31 FALSE | EXISTS V0: pppp0-{T}(V0)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #3: input, references = 3, size of lhs = 1:
% 10.13/10.31 pppp0-{F}(V0) | empty-{T}(V0)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #4: input, references = 3, size of lhs = 0:
% 10.13/10.31 FALSE | EXISTS V0: pppp1-{T}(V0)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #5: input, references = 3, size of lhs = 2:
% 10.13/10.31 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #6: input, references = 3, size of lhs = 1:
% 10.13/10.31 #-{F} V0 | subset-{T}(V0,V0)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #7: input, references = 8, size of lhs = 7:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V4), P_set_intersection2-{F}(V2,V3,V5), P_cartesian_product2-{F}(V4,V5,V6), P_cartesian_product2-{F}(V0,V2,V7), P_cartesian_product2-{F}(V1,V3,V8), P_set_intersection2-{F}(V7,V8,V9), V6 == V9 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #8: input, references = 4, size of lhs = 0:
% 10.13/10.31 FALSE | EXISTS V0: pppp5-{T}(V0)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #9: input, references = 4, size of lhs = 1:
% 10.13/10.31 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #10: input, references = 4, size of lhs = 1:
% 10.13/10.31 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #11: input, references = 4, size of lhs = 1:
% 10.13/10.31 pppp4-{F}(V0,V1) | subset-{T}(V0,V1)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #12: input, references = 4, size of lhs = 1:
% 10.13/10.31 pppp3-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V3,V2,V0,V1)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #13: input, references = 4, size of lhs = 5:
% 10.13/10.31 pppp2-{F}(V0,V1,V2,V3), P_cartesian_product2-{F}(V0,V3,V4), P_cartesian_product2-{F}(V1,V2,V5), P_set_intersection2-{F}(V4,V5,V7), P_cartesian_product2-{F}(V0,V2,V7) | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #14: input, references = 4, size of lhs = 5:
% 10.13/10.31 pppp2-{F}(V0,V1,V2,V3), P_cartesian_product2-{F}(V0,V3,V4), P_cartesian_product2-{F}(V1,V2,V5), P_set_intersection2-{F}(V4,V5,V6), P_cartesian_product2-{F}(V0,V2,V7) | subset-{T}(V0,V1)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #15: input, references = 5, size of lhs = 3:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2), subset-{F}(V0,V1), V2 == V0 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #16: input, references = 9, size of lhs = 2:
% 10.13/10.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #17: input, references = 13, size of lhs = 2:
% 10.13/10.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 number of initial rules = 18
% 10.13/10.31
% 10.13/10.31 Simplifiers:
% 10.13/10.31 #18: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #19: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #20: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #21: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #22: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #23: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #24: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #25: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V2,V7), V3 == V7 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #26: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #27: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #28: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #29: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #30: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #31: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #32: unsound, references = 3, size of lhs = 3:
% 10.13/10.31 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 number of simplifiers = 15
% 10.13/10.31
% 10.13/10.31 Learnt:
% 10.13/10.31 #35: exists( #16, #1 ), references = 2, size of lhs = 1:
% 10.13/10.31 #-{F} V0 | P_set_intersection2-{T}(V0,V0,V0)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #36: exists( #16, #15 ), references = 2, size of lhs = 1:
% 10.13/10.31 subset-{F}(V0,V1) | P_set_intersection2-{T}(V0,V1,V0)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #38: exists( #16, #0 ), references = 5, size of lhs = 1:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #40: exists( #16, #7 ), references = 8, size of lhs = 5:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V3,V4), P_set_intersection2-{F}(V3,V5,V6), P_cartesian_product2-{F}(V2,V6,V7), P_cartesian_product2-{F}(V1,V5,V8) | P_set_intersection2-{T}(V4,V8,V7)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #42: exists( #17, #7 ), references = 6, size of lhs = 5:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V3,V4), P_set_intersection2-{F}(V3,V5,V6), P_cartesian_product2-{F}(V1,V5,V7), P_set_intersection2-{F}(V4,V7,V8) | P_cartesian_product2-{T}(V2,V6,V8)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #45: exists( #17, #43 ), references = 1, size of lhs = 7:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V0), P_set_intersection2-{F}(V2,V3,V2), P_cartesian_product2-{F}(V1,V3,V4), P_set_intersection2-{F}(V0,V5,V6), P_cartesian_product2-{F}(V5,V7,V4), P_set_intersection2-{F}(V2,V7,V8), P_cartesian_product2-{F}(V6,V8,V9) | P_cartesian_product2-{T}(V0,V2,V9)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #55: exists( #17, #53 ), references = 1, size of lhs = 13:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V1), P_set_intersection2-{F}(V1,V2,V3), P_cartesian_product2-{F}(V2,V4,V5), P_set_intersection2-{F}(V1,V6,V7), P_cartesian_product2-{F}(V6,V8,V5), P_set_intersection2-{F}(V9,V1,V7), P_cartesian_product2-{F}(V9,V10,V11), P_cartesian_product2-{F}(V0,V12,V11), P_set_intersection2-{F}(V12,V13,V13), P_set_intersection2-{F}(V13,V4,V14), P_cartesian_product2-{F}(V3,V14,V15), P_set_intersection2-{F}(V13,V8,V16), P_set_intersection2-{F}(V10,V13,V16) | P_cartesian_product2-{T}(V1,V13,V15)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #60: exists( #17, #58 ), references = 3, size of lhs = 7:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V3,V4), P_cartesian_product2-{F}(V5,V6,V4), P_cartesian_product2-{F}(V0,V6,V7), pppp2-{F}(V0,V5,V6,V8), P_set_intersection2-{F}(V8,V3,V9), P_cartesian_product2-{F}(V2,V9,V7) | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #65: exists( #17, #63 ), references = 1, size of lhs = 11:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V0), P_cartesian_product2-{F}(V1,V2,V3), P_set_intersection2-{F}(V4,V2,V4), P_set_intersection2-{F}(V0,V5,V6), P_cartesian_product2-{F}(V5,V7,V3), P_set_intersection2-{F}(V4,V7,V8), P_set_intersection2-{F}(V6,V9,V0), P_cartesian_product2-{F}(V9,V10,V11), P_cartesian_product2-{F}(V12,V8,V11), pppp2-{F}(V6,V12,V8,V13), P_set_intersection2-{F}(V13,V10,V4) | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #79: exists( #17, #77 ), references = 1, size of lhs = 9:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V3,V4), P_cartesian_product2-{F}(V5,V6,V4), pppp2-{F}(V1,V5,V6,V7), P_set_intersection2-{F}(V3,V7,V8), P_cartesian_product2-{F}(V2,V8,V9), P_cartesian_product2-{F}(V1,V6,V10), P_set_intersection2-{F}(V1,V5,V11), V11 == V1 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #82: exists( #16, #80 ), references = 1, size of lhs = 7:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V3,V4), P_cartesian_product2-{F}(V5,V6,V4), pppp2-{F}(V1,V5,V6,V7), P_set_intersection2-{F}(V3,V7,V8), P_cartesian_product2-{F}(V2,V8,V9), P_cartesian_product2-{F}(V1,V6,V10) | P_set_intersection2-{T}(V5,V1,V1)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #85: exists( #17, #83 ), references = 2, size of lhs = 12:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V3,V4), P_cartesian_product2-{F}(V5,V6,V4), pppp2-{F}(V1,V5,V6,V7), P_set_intersection2-{F}(V3,V7,V8), P_cartesian_product2-{F}(V2,V8,V9), P_cartesian_product2-{F}(V5,V10,V11), P_set_intersection2-{F}(V10,V12,V13), P_cartesian_product2-{F}(V1,V13,V14), P_cartesian_product2-{F}(V1,V12,V15), P_set_intersection2-{F}(V11,V15,V16), V14 == V16 | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #88: exists( #17, #86 ), references = 2, size of lhs = 12:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V1), P_set_intersection2-{F}(V2,V1,V3), P_cartesian_product2-{F}(V4,V2,V5), P_cartesian_product2-{F}(V6,V0,V5), P_set_intersection2-{F}(V4,V7,V8), P_cartesian_product2-{F}(V8,V3,V9), P_cartesian_product2-{F}(V6,V10,V11), pppp2-{F}(V7,V6,V10,V12), P_cartesian_product2-{F}(V13,V14,V11), P_set_intersection2-{F}(V13,V7,V15), P_set_intersection2-{F}(V14,V12,V16), P_cartesian_product2-{F}(V15,V16,V17) | P_cartesian_product2-{T}(V7,V1,V9)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #106: exists( #16, #102 ), references = 1, size of lhs = 13:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V3,V4), P_set_intersection2-{F}(V3,V5,V6), P_cartesian_product2-{F}(V1,V5,V7), P_set_intersection2-{F}(V8,V9,V2), P_cartesian_product2-{F}(V9,V10,V7), P_cartesian_product2-{F}(V8,V11,V12), P_set_intersection2-{F}(V11,V13,V6), P_cartesian_product2-{F}(V14,V15,V12), pppp2-{F}(V9,V14,V15,V13), P_cartesian_product2-{F}(V14,V16,V4), P_set_intersection2-{F}(V16,V10,V17), P_cartesian_product2-{F}(V9,V17,V18) | P_set_intersection2-{T}(V4,V7,V18)
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #121: mergings( V20 == V26, V18 == V28, V19 == V24, V17 == V27, V0 == V25, V26 == V4, V28 == V39, V24 == V38, V27 == V37; #111 ), references = 1, size of lhs = 27:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V1), P_set_intersection2-{F}(V2,V1,V3), P_set_intersection2-{F}(V4,V5,V5), P_set_intersection2-{F}(V6,V5,V3), P_cartesian_product2-{F}(V7,V6,V8), P_cartesian_product2-{F}(V9,V4,V8), P_cartesian_product2-{F}(V9,V0,V10), P_cartesian_product2-{F}(V11,V2,V10), P_cartesian_product2-{F}(V9,V1,V12), P_cartesian_product2-{F}(V13,V14,V8), P_set_intersection2-{F}(V14,V5,V15), P_set_intersection2-{F}(V13,V16,V17), P_set_intersection2-{F}(V7,V16,V18), P_set_intersection2-{F}(V11,V16,V18), P_set_intersection2-{F}(V19,V16,V17), P_cartesian_product2-{F}(V19,V20,V12), pppp2-{F}(V16,V9,V1,V21), P_set_intersection2-{F}(V20,V21,V15), P_cartesian_product2-{F}(V22,V23,V12), P_set_intersection2-{F}(V22,V16,V24), P_set_intersection2-{F}(V23,V21,V25), P_set_intersection2-{F}(V16,V26,V24), P_set_intersection2-{F}(V27,V16,V24), P_cartesian_product2-{F}(V27,V28,V8), P_set_intersection2-{F}(V28,V5,V25), P_cartesian_product2-{F}(V26,V29,V12), P_set_intersection2-{F}(V21,V29,V25) | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #132: mergings( V16 == V22, V17 == V24, V11 == V19, V15 == V23, V22 == V4, V24 == V29, V19 == V28, V23 == V27; #123 ), references = 1, size of lhs = 20:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V1), P_set_intersection2-{F}(V2,V1,V3), P_set_intersection2-{F}(V4,V5,V5), P_set_intersection2-{F}(V6,V5,V3), P_cartesian_product2-{F}(V7,V6,V8), P_cartesian_product2-{F}(V9,V4,V8), P_cartesian_product2-{F}(V7,V10,V8), P_set_intersection2-{F}(V10,V5,V11), P_cartesian_product2-{F}(V7,V2,V12), P_cartesian_product2-{F}(V9,V0,V12), P_cartesian_product2-{F}(V7,V13,V8), P_set_intersection2-{F}(V13,V5,V14), P_cartesian_product2-{F}(V9,V1,V15), P_cartesian_product2-{F}(V7,V16,V15), P_cartesian_product2-{F}(V7,V17,V15), P_cartesian_product2-{F}(V7,V18,V15), P_set_intersection2-{F}(V16,V19,V11), P_set_intersection2-{F}(V17,V19,V14), P_set_intersection2-{F}(V19,V18,V14), pppp2-{F}(V20,V9,V1,V19) | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #136: mergings( V18 == V19, V19 == V22; #133 ), references = 2, size of lhs = 20:
% 10.13/10.31 P_set_intersection2-{F}(V0,V1,V1), pppp3-{F}(V1,V2,V3), P_cartesian_product2-{F}(V3,V0,V4), P_cartesian_product2-{F}(V3,V1,V5), P_set_intersection2-{F}(V6,V1,V7), P_cartesian_product2-{F}(V8,V6,V4), P_cartesian_product2-{F}(V8,V9,V5), P_set_intersection2-{F}(V9,V2,V10), P_cartesian_product2-{F}(V8,V11,V5), P_set_intersection2-{F}(V11,V2,V12), P_cartesian_product2-{F}(V8,V13,V5), P_set_intersection2-{F}(V2,V13,V12), P_set_intersection2-{F}(V14,V15,V15), P_set_intersection2-{F}(V16,V15,V7), P_cartesian_product2-{F}(V8,V16,V17), P_cartesian_product2-{F}(V3,V14,V17), P_cartesian_product2-{F}(V8,V18,V17), P_set_intersection2-{F}(V18,V15,V10), P_cartesian_product2-{F}(V8,V19,V17), P_set_intersection2-{F}(V19,V15,V12) | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #143: mergings( V1 == V4, V7 == V4, V4 == V5, V5 == V6; #137 ), references = 1, size of lhs = 4:
% 10.13/10.31 P_set_intersection2-{F}(V0,V0,V0), P_set_intersection2-{F}(V0,V1,V0), P_set_intersection2-{F}(V1,V0,V0), pppp3-{F}(V0,V1,V2) | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #149: mergings( V0 == V3, V4 == V3, V3 == V5, V5 == V6; #144 ), references = 2, size of lhs = 4:
% 10.13/10.31 P_set_intersection2-{F}(V0,V0,V0), pppp4-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V0), P_set_intersection2-{F}(V1,V0,V0) | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #154: exists( #9, #152 ), references = 2, size of lhs = 2:
% 10.13/10.31 pppp5-{F}(V0), P_set_intersection2-{F}(V0,V0,V0) | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 #157: exists( #8, #155 ), references = 1, size of lhs = 0:
% 10.13/10.31 FALSE | FALSE
% 10.13/10.31 (used 0 times, uses = {})
% 10.13/10.31
% 10.13/10.31 number of learnt formulas = 21
% 10.13/10.31
% 10.13/10.31
% 10.13/10.31 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.13/10.31
% 10.13/10.31 randbase = 1
%------------------------------------------------------------------------------