TSTP Solution File: SET974+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET974+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 12.95s 13.12s
% Output : Refutation 12.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET974+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 02:15:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 12.95/13.12 GeoParameters:
% 12.95/13.12
% 12.95/13.12 tptp_input = 1
% 12.95/13.12 tptp_output = 0
% 12.95/13.12 nonempty = 1
% 12.95/13.12 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.95/13.12 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 12.95/13.12
% 12.95/13.12
% 12.95/13.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.95/13.12 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.95/13.12
% 12.95/13.12 RuleSystem INPUT:
% 12.95/13.12
% 12.95/13.12 Initial Rules:
% 12.95/13.12 #0: input, references = 3, size of lhs = 2:
% 12.95/13.12 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #1: input, references = 4, size of lhs = 3:
% 12.95/13.12 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #2: input, references = 4, size of lhs = 3:
% 12.95/13.12 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #3: input, references = 5, size of lhs = 5:
% 12.95/13.12 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #4: input, references = 5, size of lhs = 2:
% 12.95/13.12 P_ordered_pair-{F}(V0,V1,V2), empty-{F}(V2) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #5: input, references = 4, size of lhs = 2:
% 12.95/13.12 P_set_intersection2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #6: input, references = 3, size of lhs = 0:
% 12.95/13.12 FALSE | EXISTS V0: pppp0-{T}(V0)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #7: input, references = 3, size of lhs = 1:
% 12.95/13.12 pppp0-{F}(V0) | empty-{T}(V0)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #8: input, references = 3, size of lhs = 0:
% 12.95/13.12 FALSE | EXISTS V0: pppp1-{T}(V0)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #9: input, references = 3, size of lhs = 2:
% 12.95/13.12 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #10: input, references = 4, size of lhs = 1:
% 12.95/13.12 disjoint-{F}(V0,V1) | disjoint-{T}(V1,V0)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #11: input, references = 6, size of lhs = 6:
% 12.95/13.12 P_cartesian_product2-{F}(V1,V2,V5), P_cartesian_product2-{F}(V3,V4,V6), P_set_intersection2-{F}(V5,V6,V7), P_set_intersection2-{F}(V2,V4,V8), P_set_intersection2-{F}(V1,V3,V9), in-{F}(V0,V7) | EXISTS V10: pppp3-{T}(V0,V10,V8,V9)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #12: input, references = 6, size of lhs = 1:
% 12.95/13.12 pppp3-{F}(V0,V1,V2,V3) | EXISTS V4: pppp2-{T}(V0,V4,V1,V3)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #13: input, references = 4, size of lhs = 1:
% 12.95/13.12 pppp3-{F}(V0,V1,V2,V3) | in-{T}(V1,V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #14: input, references = 5, size of lhs = 2:
% 12.95/13.12 pppp2-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | in-{T}(V1,V3)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #15: input, references = 4, size of lhs = 3:
% 12.95/13.12 pppp2-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #16: input, references = 4, size of lhs = 0:
% 12.95/13.12 FALSE | EXISTS V0: pppp7-{T}(V0)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #17: input, references = 4, size of lhs = 1:
% 12.95/13.12 pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #18: input, references = 5, size of lhs = 1:
% 12.95/13.12 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #19: input, references = 5, size of lhs = 1:
% 12.95/13.12 pppp5-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #20: input, references = 4, size of lhs = 4:
% 12.95/13.12 pppp4-{F}(V0,V1,V2,V3), P_cartesian_product2-{F}(V0,V2,V4), P_cartesian_product2-{F}(V1,V3,V5), disjoint-{F}(V4,V5) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #21: input, references = 4, size of lhs = 3:
% 12.95/13.12 pppp4-{F}(V0,V1,V2,V3), P_cartesian_product2-{F}(V0,V2,V4), P_cartesian_product2-{F}(V1,V3,V5) | disjoint-{T}(V0,V1), disjoint-{T}(V2,V3)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #22: input, references = 7, size of lhs = 1:
% 12.95/13.12 P_set_intersection2-{F}(V0,V1,V2) | disjoint-{T}(V0,V1), pppp9-{T}(V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #23: input, references = 6, size of lhs = 1:
% 12.95/13.12 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #24: input, references = 7, size of lhs = 3:
% 12.95/13.12 P_set_intersection2-{F}(V0,V1,V2), in-{F}(V3,V2), disjoint-{F}(V0,V1) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #25: input, references = 8, size of lhs = 1:
% 12.95/13.12 pppp8-{F}(V0,V1) | in-{T}(V1,V0)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #26: input, references = 6, size of lhs = 2:
% 12.95/13.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #27: input, references = 13, size of lhs = 2:
% 12.95/13.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #28: input, references = 5, size of lhs = 2:
% 12.95/13.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #29: input, references = 3, size of lhs = 1:
% 12.95/13.12 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #30: input, references = 9, size of lhs = 2:
% 12.95/13.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 number of initial rules = 31
% 12.95/13.12
% 12.95/13.12 Simplifiers:
% 12.95/13.12 #31: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #32: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #33: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #34: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #35: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #36: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #37: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #38: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #39: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #40: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #41: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #42: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #43: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #44: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #45: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #46: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V5), V1 == V4 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #47: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V0 == V3 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #48: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #49: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #50: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #51: unsound, references = 3, size of lhs = 3:
% 12.95/13.12 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 number of simplifiers = 21
% 12.95/13.12
% 12.95/13.12 Learnt:
% 12.95/13.12 #53: exists( #27, #5 ), references = 1, size of lhs = 1:
% 12.95/13.12 #-{F} V0 | P_set_intersection2-{T}(V0,V0,V0)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #55: exists( #26, #3 ), references = 2, size of lhs = 3:
% 12.95/13.12 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V4,V1,V3)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #57: exists( #28, #3 ), references = 2, size of lhs = 3:
% 12.95/13.12 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #65: exists( #26, #1 ), references = 3, size of lhs = 1:
% 12.95/13.12 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #71: exists( #27, #2 ), references = 3, size of lhs = 1:
% 12.95/13.12 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #76: exists( #28, #15 ), references = 3, size of lhs = 1:
% 12.95/13.12 pppp2-{F}(V0,V1,V2,V3) | P_ordered_pair-{T}(V1,V2,V0)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #79: exists( #12, #77 ), references = 1, size of lhs = 3:
% 12.95/13.12 empty-{F}(V0), pppp2-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #81: exists( #12, #78 ), references = 1, size of lhs = 3:
% 12.95/13.12 empty-{F}(V0), pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #83: exists( #11, #80 ), references = 1, size of lhs = 7:
% 12.95/13.12 empty-{F}(V0), in-{F}(V0,V1), P_set_intersection2-{F}(V2,V3,V1), P_cartesian_product2-{F}(V4,V5,V2), P_cartesian_product2-{F}(V6,V7,V3), P_set_intersection2-{F}(V5,V7,V8), P_set_intersection2-{F}(V4,V6,V9) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #96: disj( #21, input ), references = 3, size of lhs = 5:
% 12.95/13.12 in-{F}(V0,V1), P_set_intersection2-{F}(V2,V3,V1), pppp4-{F}(V2,V3,V4,V5), P_cartesian_product2-{F}(V2,V4,V6), P_cartesian_product2-{F}(V3,V5,V7) | disjoint-{T}(V4,V5)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #115: exists( #30, #113 ), references = 1, size of lhs = 6:
% 12.95/13.12 in-{F}(V0,V1), P_set_intersection2-{F}(V2,V3,V1), pppp4-{F}(V2,V3,V4,V5), P_cartesian_product2-{F}(V2,V4,V6), P_set_intersection2-{F}(V4,V5,V7), in-{F}(V8,V7) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #142: exists( #11, #140 ), references = 4, size of lhs = 8:
% 12.95/13.12 in-{F}(V0,V1), disjoint-{F}(V2,V3), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V5,V6,V4), P_cartesian_product2-{F}(V7,V5,V8), P_set_intersection2-{F}(V8,V9,V1), P_cartesian_product2-{F}(V10,V6,V9), P_set_intersection2-{F}(V7,V10,V11) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #170: disj( #22, input ), references = 3, size of lhs = 4:
% 12.95/13.12 P_cartesian_product2-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V1,V4), P_cartesian_product2-{F}(V3,V4,V5), P_set_intersection2-{F}(V2,V5,V6) | pppp9-{T}(V6)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #188: exists( #23, #184 ), references = 2, size of lhs = 3:
% 12.95/13.12 pppp9-{F}(V0), disjoint-{F}(V1,V2), P_set_intersection2-{F}(V1,V2,V0) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #189: exists( #23, #185 ), references = 2, size of lhs = 8:
% 12.95/13.12 pppp9-{F}(V0), disjoint-{F}(V1,V2), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V4,V5,V3), P_cartesian_product2-{F}(V6,V4,V7), P_set_intersection2-{F}(V7,V8,V0), P_cartesian_product2-{F}(V9,V5,V8), P_set_intersection2-{F}(V6,V9,V10) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #193: exists( #27, #191 ), references = 3, size of lhs = 9:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V5,V3,V6), P_cartesian_product2-{F}(V7,V4,V8), P_set_intersection2-{F}(V5,V7,V9), P_cartesian_product2-{F}(V10,V11,V6), pppp4-{F}(V10,V12,V11,V13), P_cartesian_product2-{F}(V12,V13,V8) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #199: mergings( V5 == V13, V6 == V14, V7 == V11; #195 ), references = 1, size of lhs = 8:
% 12.95/13.12 in-{F}(V0,V1), P_set_intersection2-{F}(V2,V3,V1), P_set_intersection2-{F}(V4,V3,V5), P_cartesian_product2-{F}(V4,V6,V7), P_cartesian_product2-{F}(V2,V8,V7), pppp4-{F}(V2,V3,V8,V9), P_set_intersection2-{F}(V8,V9,V10), P_set_intersection2-{F}(V6,V9,V10) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #204: mergings( V5 == V11, V0 == V12, V7 == V9; #200 ), references = 2, size of lhs = 6:
% 12.95/13.12 in-{F}(V0,V1), P_set_intersection2-{F}(V2,V3,V1), P_set_intersection2-{F}(V4,V3,V5), P_cartesian_product2-{F}(V4,V6,V7), P_cartesian_product2-{F}(V2,V6,V7), pppp4-{F}(V2,V3,V6,V8) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #207: mergings( V6 == V8; #205 ), references = 2, size of lhs = 6:
% 12.95/13.12 in-{F}(V0,V1), P_set_intersection2-{F}(V2,V3,V1), pppp5-{F}(V2,V3,V4), P_cartesian_product2-{F}(V2,V4,V5), P_cartesian_product2-{F}(V6,V4,V5), P_set_intersection2-{F}(V6,V3,V7) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #210: disj( #22, exists( #23, #185 ) ), references = 2, size of lhs = 8:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V5,V3,V6), P_cartesian_product2-{F}(V7,V4,V8), P_set_intersection2-{F}(V6,V8,V9), P_set_intersection2-{F}(V5,V7,V10), P_set_intersection2-{F}(V11,V12,V9) | disjoint-{T}(V11,V12)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #217: mergings( V4 == V6; #213 ), references = 1, size of lhs = 3:
% 12.95/13.12 in-{F}(V0,V1), P_set_intersection2-{F}(V2,V3,V1), pppp5-{F}(V2,V3,V4) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #219: mergings( V4 == V6; #214 ), references = 1, size of lhs = 3:
% 12.95/13.12 in-{F}(V0,V1), P_set_intersection2-{F}(V2,V3,V1), pppp4-{F}(V2,V3,V4,V5) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #222: mergings( V4 == V5; #220 ), references = 1, size of lhs = 3:
% 12.95/13.12 pppp6-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), in-{F}(V3,V2) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #226: mergings( V0 == V4; #224 ), references = 2, size of lhs = 3:
% 12.95/13.12 pppp9-{F}(V0), pppp6-{F}(V1,V2), P_set_intersection2-{F}(V1,V2,V0) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #234: exists( #30, #193 ), references = 1, size of lhs = 7:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V5,V3,V6), P_set_intersection2-{F}(V5,V7,V8), P_cartesian_product2-{F}(V9,V10,V6), pppp4-{F}(V9,V7,V10,V4) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #239: exists( #27, #237 ), references = 1, size of lhs = 10:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V5,V3,V6), P_cartesian_product2-{F}(V7,V4,V8), P_set_intersection2-{F}(V5,V7,V9), P_cartesian_product2-{F}(V10,V8,V11), P_set_intersection2-{F}(V10,V12,V13), P_cartesian_product2-{F}(V14,V15,V11), pppp4-{F}(V14,V12,V15,V6) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #257: exists( #26, #255 ), references = 1, size of lhs = 5:
% 12.95/13.12 empty-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V2,V3), P_unordered_pair-{F}(V4,V3,V0), P_ordered_pair-{F}(V1,V5,V4) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #301: exists( #12, #297 ), references = 1, size of lhs = 3:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5,V2) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #302: exists( #12, #298 ), references = 1, size of lhs = 8:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V5,V3,V6), P_cartesian_product2-{F}(V7,V4,V8), P_set_intersection2-{F}(V6,V8,V9), P_set_intersection2-{F}(V5,V7,V10), pppp3-{F}(V11,V12,V13,V9) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #305: exists( #11, #299 ), references = 2, size of lhs = 8:
% 12.95/13.12 in-{F}(V0,V1), disjoint-{F}(V2,V3), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V5,V6,V4), P_cartesian_product2-{F}(V5,V7,V8), P_set_intersection2-{F}(V8,V9,V1), P_cartesian_product2-{F}(V6,V10,V9), P_set_intersection2-{F}(V7,V10,V11) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #306: exists( #11, #300 ), references = 2, size of lhs = 13:
% 12.95/13.12 in-{F}(V0,V1), disjoint-{F}(V2,V3), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V5,V6,V4), P_cartesian_product2-{F}(V7,V5,V8), P_cartesian_product2-{F}(V9,V6,V10), P_set_intersection2-{F}(V8,V10,V11), P_set_intersection2-{F}(V7,V9,V12), P_set_intersection2-{F}(V13,V14,V11), P_cartesian_product2-{F}(V13,V15,V16), P_set_intersection2-{F}(V16,V17,V1), P_cartesian_product2-{F}(V14,V18,V17), P_set_intersection2-{F}(V15,V18,V19) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #335: exists( #23, #331 ), references = 2, size of lhs = 8:
% 12.95/13.12 pppp9-{F}(V0), disjoint-{F}(V1,V2), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V4,V5,V3), P_cartesian_product2-{F}(V4,V6,V7), P_set_intersection2-{F}(V7,V8,V0), P_cartesian_product2-{F}(V5,V9,V8), P_set_intersection2-{F}(V6,V9,V10) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #336: exists( #23, #332 ), references = 2, size of lhs = 13:
% 12.95/13.12 pppp9-{F}(V0), disjoint-{F}(V1,V2), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V4,V5,V3), P_cartesian_product2-{F}(V6,V4,V7), P_cartesian_product2-{F}(V8,V5,V9), P_set_intersection2-{F}(V7,V9,V10), P_set_intersection2-{F}(V6,V8,V11), P_set_intersection2-{F}(V12,V13,V10), P_cartesian_product2-{F}(V12,V14,V15), P_set_intersection2-{F}(V15,V16,V0), P_cartesian_product2-{F}(V13,V17,V16), P_set_intersection2-{F}(V14,V17,V18) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #339: disj( #22, exists( #23, #331 ) ), references = 3, size of lhs = 8:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V3,V5,V6), P_cartesian_product2-{F}(V4,V7,V8), P_set_intersection2-{F}(V6,V8,V9), P_set_intersection2-{F}(V5,V7,V10), P_set_intersection2-{F}(V11,V12,V9) | disjoint-{T}(V11,V12)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #340: disj( #22, exists( #23, #332 ) ), references = 1, size of lhs = 13:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V5,V3,V6), P_cartesian_product2-{F}(V7,V4,V8), P_set_intersection2-{F}(V6,V8,V9), P_set_intersection2-{F}(V5,V7,V10), P_set_intersection2-{F}(V11,V12,V9), P_cartesian_product2-{F}(V11,V13,V14), P_cartesian_product2-{F}(V12,V15,V16), P_set_intersection2-{F}(V14,V16,V17), P_set_intersection2-{F}(V13,V15,V18), P_set_intersection2-{F}(V19,V20,V17) | disjoint-{T}(V19,V20)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #355: exists( #27, #349 ), references = 1, size of lhs = 9:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V3,V5,V6), P_cartesian_product2-{F}(V4,V7,V8), P_set_intersection2-{F}(V5,V7,V9), P_cartesian_product2-{F}(V10,V11,V6), pppp4-{F}(V10,V12,V11,V13), P_cartesian_product2-{F}(V12,V13,V8) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #356: exists( #27, #351 ), references = 1, size of lhs = 9:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V3,V5,V6), P_cartesian_product2-{F}(V4,V7,V8), P_set_intersection2-{F}(V5,V7,V9), P_cartesian_product2-{F}(V10,V11,V6), pppp4-{F}(V10,V12,V11,V13), P_cartesian_product2-{F}(V12,V13,V8) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #357: exists( #27, #350 ), references = 1, size of lhs = 9:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V3,V5,V6), P_cartesian_product2-{F}(V4,V7,V8), P_set_intersection2-{F}(V5,V7,V9), P_cartesian_product2-{F}(V10,V11,V6), pppp4-{F}(V10,V12,V11,V13), P_cartesian_product2-{F}(V12,V13,V8) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #361: exists( #30, #352 ), references = 1, size of lhs = 7:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V3,V5,V6), P_cartesian_product2-{F}(V7,V8,V6), pppp4-{F}(V7,V4,V8,V9), P_set_intersection2-{F}(V5,V9,V10) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #365: exists( #27, #358 ), references = 1, size of lhs = 6:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V3,V5,V6), P_cartesian_product2-{F}(V7,V8,V6), pppp4-{F}(V7,V4,V8,V9) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #369: exists( #19, #362 ), references = 2, size of lhs = 6:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), pppp5-{F}(V5,V4,V6), P_cartesian_product2-{F}(V5,V6,V7), P_cartesian_product2-{F}(V3,V8,V7) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #376: exists( #27, #193 ), references = 1, size of lhs = 8:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V5,V3,V6), P_cartesian_product2-{F}(V7,V4,V8), P_cartesian_product2-{F}(V9,V10,V6), pppp4-{F}(V9,V11,V10,V12), P_cartesian_product2-{F}(V11,V12,V8) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #380: exists( #27, #189 ), references = 1, size of lhs = 7:
% 12.95/13.12 pppp9-{F}(V0), disjoint-{F}(V1,V2), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V4,V5,V3), P_cartesian_product2-{F}(V6,V4,V7), P_set_intersection2-{F}(V7,V8,V0), P_cartesian_product2-{F}(V9,V5,V8) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #381: exists( #27, #336 ), references = 1, size of lhs = 12:
% 12.95/13.12 pppp9-{F}(V0), disjoint-{F}(V1,V2), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V4,V5,V3), P_cartesian_product2-{F}(V6,V4,V7), P_cartesian_product2-{F}(V8,V5,V9), P_set_intersection2-{F}(V7,V9,V10), P_set_intersection2-{F}(V11,V12,V10), P_cartesian_product2-{F}(V11,V13,V14), P_set_intersection2-{F}(V14,V15,V0), P_cartesian_product2-{F}(V12,V16,V15), P_set_intersection2-{F}(V13,V16,V17) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #382: exists( #27, #142 ), references = 1, size of lhs = 7:
% 12.95/13.12 in-{F}(V0,V1), disjoint-{F}(V2,V3), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V5,V6,V4), P_cartesian_product2-{F}(V7,V5,V8), P_set_intersection2-{F}(V8,V9,V1), P_cartesian_product2-{F}(V10,V6,V9) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #389: mergings( V2 == V3; #385 ), references = 1, size of lhs = 5:
% 12.95/13.12 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), pppp5-{F}(V5,V4,V6), P_cartesian_product2-{F}(V5,V6,V7), P_cartesian_product2-{F}(V3,V8,V7) | pppp9-{T}(V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #391: mergings( V2 == V3; #386 ), references = 1, size of lhs = 5:
% 12.95/13.12 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), P_cartesian_product2-{F}(V3,V5,V6), P_cartesian_product2-{F}(V7,V8,V6), pppp4-{F}(V7,V4,V8,V9) | pppp9-{T}(V2)
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #396: exists( #27, #394 ), references = 2, size of lhs = 4:
% 12.95/13.12 pppp6-{F}(V0,V1), pppp5-{F}(V2,V1,V3), P_cartesian_product2-{F}(V2,V3,V4), P_cartesian_product2-{F}(V0,V5,V4) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #399: exists( #30, #396 ), references = 1, size of lhs = 2:
% 12.95/13.12 pppp6-{F}(V0,V1), pppp5-{F}(V0,V1,V2) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #400: exists( #30, #369 ), references = 1, size of lhs = 4:
% 12.95/13.12 disjoint-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V3,V4,V2), pppp5-{F}(V3,V4,V5) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #402: exists( #18, #397 ), references = 1, size of lhs = 1:
% 12.95/13.12 pppp6-{F}(V0,V1) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #404: exists( #17, #401 ), references = 1, size of lhs = 1:
% 12.95/13.12 pppp7-{F}(V0) | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 #406: exists( #16, #403 ), references = 1, size of lhs = 0:
% 12.95/13.12 FALSE | FALSE
% 12.95/13.12 (used 0 times, uses = {})
% 12.95/13.12
% 12.95/13.12 number of learnt formulas = 53
% 12.95/13.12
% 12.95/13.12
% 12.95/13.12 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.95/13.12
% 12.95/13.12 randbase = 1
%------------------------------------------------------------------------------