TSTP Solution File: SET978+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 01:21:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.53 GeoParameters:
% 0.18/0.53
% 0.18/0.53 tptp_input = 1
% 0.18/0.53 tptp_output = 0
% 0.18/0.53 nonempty = 1
% 0.18/0.53 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.53 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.53
% 0.18/0.53
% 0.18/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.53
% 0.18/0.53 RuleSystem INPUT:
% 0.18/0.53
% 0.18/0.53 Initial Rules:
% 0.18/0.53 #0: input, references = 3, size of lhs = 0:
% 0.18/0.53 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #1: input, references = 3, size of lhs = 1:
% 0.18/0.53 pppp0-{F}(V0) | empty-{T}(V0)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #2: input, references = 3, size of lhs = 0:
% 0.18/0.53 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #3: input, references = 3, size of lhs = 2:
% 0.18/0.53 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #4: input, references = 3, size of lhs = 1:
% 0.18/0.53 disjoint-{F}(V0,V1) | disjoint-{T}(V1,V0)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #5: input, references = 7, size of lhs = 3:
% 0.18/0.53 P_cartesian_product2-{F}(V0,V2,V4), P_cartesian_product2-{F}(V1,V3,V5), disjoint-{F}(V0,V1) | disjoint-{T}(V4,V5)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #6: input, references = 5, size of lhs = 3:
% 0.18/0.53 P_cartesian_product2-{F}(V0,V2,V4), P_cartesian_product2-{F}(V1,V3,V5), disjoint-{F}(V2,V3) | disjoint-{T}(V4,V5)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #7: input, references = 4, size of lhs = 0:
% 0.18/0.53 FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #8: input, references = 4, size of lhs = 1:
% 0.18/0.53 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #9: input, references = 4, size of lhs = 3:
% 0.18/0.53 pppp4-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V1,V3) | EXISTS V4: pppp3-{T}(V2,V3,V4)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #10: input, references = 4, size of lhs = 3:
% 0.18/0.53 pppp4-{F}(V1,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V1,V3) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #11: input, references = 4, size of lhs = 1:
% 0.18/0.53 pppp3-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V2,V0,V1,V3)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #12: input, references = 6, size of lhs = 7:
% 0.18/0.53 pppp2-{F}(V0,V1,V2,V3), P_cartesian_product2-{F}(V1,V3,V4), P_cartesian_product2-{F}(V2,V0,V5), P_cartesian_product2-{F}(V3,V1,V6), P_cartesian_product2-{F}(V0,V2,V7), disjoint-{F}(V4,V5), disjoint-{F}(V6,V7) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #13: input, references = 4, size of lhs = 3:
% 0.18/0.53 P_singleton-{F}(V0,V2), P_singleton-{F}(V1,V3), V0 == V1 | disjoint-{T}(V2,V3)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #14: input, references = 11, size of lhs = 2:
% 0.18/0.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #15: input, references = 5, size of lhs = 1:
% 0.18/0.53 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 number of initial rules = 16
% 0.18/0.53
% 0.18/0.53 Simplifiers:
% 0.18/0.53 #16: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #17: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #18: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #19: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.53 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 number of simplifiers = 11
% 0.18/0.53
% 0.18/0.53 Learnt:
% 0.18/0.53 #29: exists( #14, #27 ), references = 4, size of lhs = 7:
% 0.18/0.53 disjoint-{F}(V0,V1), P_cartesian_product2-{F}(V0,V2,V3), P_cartesian_product2-{F}(V4,V1,V5), disjoint-{F}(V6,V5), pppp2-{F}(V4,V7,V1,V8), P_cartesian_product2-{F}(V7,V8,V3), P_cartesian_product2-{F}(V8,V7,V6) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #32: exists( #14, #30 ), references = 2, size of lhs = 7:
% 0.18/0.53 disjoint-{F}(V0,V1), P_cartesian_product2-{F}(V0,V2,V3), disjoint-{F}(V4,V5), P_cartesian_product2-{F}(V4,V6,V7), pppp2-{F}(V1,V8,V5,V9), P_cartesian_product2-{F}(V8,V9,V7), P_cartesian_product2-{F}(V9,V8,V3) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #34: exists( #14, #32 ), references = 1, size of lhs = 5:
% 0.18/0.53 disjoint-{F}(V0,V1), P_cartesian_product2-{F}(V0,V2,V3), disjoint-{F}(V4,V5), pppp2-{F}(V5,V6,V1,V4), P_cartesian_product2-{F}(V6,V4,V3) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #44: exists( #14, #40 ), references = 1, size of lhs = 7:
% 0.18/0.53 disjoint-{F}(V0,V1), P_cartesian_product2-{F}(V2,V1,V3), P_cartesian_product2-{F}(V0,V4,V5), pppp2-{F}(V2,V6,V1,V7), P_cartesian_product2-{F}(V6,V7,V5), disjoint-{F}(V7,V8), P_cartesian_product2-{F}(V8,V9,V3) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #45: exists( #14, #41 ), references = 1, size of lhs = 7:
% 0.18/0.53 disjoint-{F}(V0,V1), P_cartesian_product2-{F}(V1,V2,V3), P_cartesian_product2-{F}(V4,V5,V3), P_cartesian_product2-{F}(V5,V4,V6), pppp2-{F}(V4,V7,V5,V0), P_cartesian_product2-{F}(V7,V0,V8), disjoint-{F}(V8,V6) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #47: exists( #14, #42 ), references = 1, size of lhs = 5:
% 0.18/0.53 disjoint-{F}(V0,V1), P_cartesian_product2-{F}(V2,V1,V3), pppp2-{F}(V2,V0,V1,V4), disjoint-{F}(V4,V5), P_cartesian_product2-{F}(V5,V6,V3) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #60: exists( #14, #56 ), references = 1, size of lhs = 7:
% 0.18/0.53 disjoint-{F}(V0,V1), P_cartesian_product2-{F}(V2,V1,V3), disjoint-{F}(V4,V5), P_cartesian_product2-{F}(V6,V5,V3), pppp2-{F}(V6,V0,V5,V7), P_cartesian_product2-{F}(V0,V7,V8), P_cartesian_product2-{F}(V4,V9,V8) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #61: exists( #14, #57 ), references = 1, size of lhs = 7:
% 0.18/0.53 disjoint-{F}(V0,V1), P_cartesian_product2-{F}(V2,V1,V3), P_cartesian_product2-{F}(V4,V5,V3), P_cartesian_product2-{F}(V5,V4,V6), pppp2-{F}(V4,V0,V5,V7), P_cartesian_product2-{F}(V0,V7,V8), disjoint-{F}(V8,V6) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #63: exists( #14, #58 ), references = 1, size of lhs = 5:
% 0.18/0.53 disjoint-{F}(V0,V1), disjoint-{F}(V0,V2), P_cartesian_product2-{F}(V3,V1,V4), P_cartesian_product2-{F}(V5,V2,V4), pppp2-{F}(V5,V0,V2,V6) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #65: exists( #14, #62 ), references = 1, size of lhs = 2:
% 0.18/0.53 disjoint-{F}(V0,V1), pppp2-{F}(V2,V0,V1,V3) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #67: exists( #11, #64 ), references = 1, size of lhs = 2:
% 0.18/0.53 disjoint-{F}(V0,V1), pppp3-{F}(V0,V1,V2) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #69: exists( #9, #66 ), references = 2, size of lhs = 4:
% 0.18/0.53 pppp4-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V1,V3), disjoint-{F}(V2,V3) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #72: exists( #15, #70 ), references = 1, size of lhs = 4:
% 0.18/0.53 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), pppp4-{F}(V2,V3), V0 == V3 | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #74: exists( #8, #71 ), references = 1, size of lhs = 3:
% 0.18/0.53 pppp5-{F}(V0), P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1) | pppp4-{T}(V0,V2)
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #80: exists( #15, #75 ), references = 1, size of lhs = 1:
% 0.18/0.53 pppp5-{F}(V0) | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 #82: exists( #7, #79 ), references = 1, size of lhs = 0:
% 0.18/0.53 FALSE | FALSE
% 0.18/0.53 (used 0 times, uses = {})
% 0.18/0.53
% 0.18/0.53 number of learnt formulas = 16
% 0.18/0.53
% 0.18/0.53
% 0.18/0.53 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.53
% 0.18/0.53 randbase = 1
%------------------------------------------------------------------------------