%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET960+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 15.05s 15.24s
% Output : Refutation 15.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET960+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jul 23 02:15:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 15.05/15.24 GeoParameters:
% 15.05/15.24
% 15.05/15.24 tptp_input = 1
% 15.05/15.24 tptp_output = 0
% 15.05/15.24 nonempty = 1
% 15.05/15.24 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.05/15.24 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 15.05/15.24
% 15.05/15.24
% 15.05/15.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.05/15.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.05/15.24
% 15.05/15.24 RuleSystem INPUT:
% 15.05/15.24
% 15.05/15.24 Initial Rules:
% 15.05/15.24 #0: input, references = 3, size of lhs = 2:
% 15.05/15.24 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #1: input, references = 4, size of lhs = 3:
% 15.05/15.24 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #2: input, references = 4, size of lhs = 1:
% 15.05/15.24 P_empty_set-{F}(V0) | pppp0-{T}(V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #3: input, references = 3, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), V1 == V0 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #4: input, references = 6, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #5: input, references = 4, size of lhs = 2:
% 15.05/15.24 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp12-{T}(V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #6: input, references = 8, size of lhs = 1:
% 15.05/15.24 pppp12-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #7: input, references = 11, size of lhs = 1:
% 15.05/15.24 pppp4-{F}(V0,V1) | in-{T}(V1,V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #8: input, references = 7, size of lhs = 2:
% 15.05/15.24 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V4) | pppp2-{T}(V1,V2,V4)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #9: input, references = 3, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V4), pppp2-{F}(V1,V2,V3), V3 == V4 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #10: input, references = 8, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp1-{T}(V1,V2,V4)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #11: input, references = 8, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3), pppp1-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #12: input, references = 5, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp2-{T}(V1,V2,V3), pppp13-{T}(V1,V2,V3)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #13: input, references = 3, size of lhs = 1:
% 15.05/15.24 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V2,V3)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #14: input, references = 3, size of lhs = 3:
% 15.05/15.24 pppp5-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #15: input, references = 6, size of lhs = 1:
% 15.05/15.24 pppp5-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp1-{T}(V0,V1,V3)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #16: input, references = 5, size of lhs = 2:
% 15.05/15.24 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | EXISTS V4: pppp7-{T}(V1,V2,V3,V4)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #17: input, references = 8, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), in-{F}(V4,V2), P_ordered_pair-{F}(V5,V4,V6), in-{F}(V5,V1) | pppp1-{T}(V1,V2,V6)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #18: input, references = 4, size of lhs = 1:
% 15.05/15.24 pppp7-{F}(V0,V1,V2,V3) | EXISTS V4: pppp6-{T}(V0,V2,V4,V3)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #19: input, references = 5, size of lhs = 1:
% 15.05/15.24 pppp7-{F}(V0,V1,V2,V3) | in-{T}(V3,V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #20: input, references = 4, size of lhs = 3:
% 15.05/15.24 pppp6-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), V1 == V4 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #21: input, references = 6, size of lhs = 2:
% 15.05/15.24 pppp6-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4) | in-{T}(V2,V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #22: input, references = 5, size of lhs = 6:
% 15.05/15.24 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), P_unordered_pair-{F}(V1,V2,V4), P_singleton-{F}(V1,V5), P_unordered_pair-{F}(V4,V5,V6), V3 == V6 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #23: input, references = 3, size of lhs = 1:
% 15.05/15.24 P_empty_set-{F}(V0) | empty-{T}(V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #24: input, references = 3, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #25: input, references = 3, size of lhs = 1:
% 15.05/15.24 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #26: input, references = 3, size of lhs = 1:
% 15.05/15.24 pppp8-{F}(V0) | empty-{T}(V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #27: input, references = 3, size of lhs = 1:
% 15.05/15.24 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #28: input, references = 3, size of lhs = 2:
% 15.05/15.24 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #29: input, references = 4, size of lhs = 1:
% 15.05/15.24 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #30: input, references = 5, size of lhs = 1:
% 15.05/15.24 pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V1,V2,V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #31: input, references = 5, size of lhs = 3:
% 15.05/15.24 pppp10-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V2), pppp3-{F}(V0,V1) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #32: input, references = 4, size of lhs = 3:
% 15.05/15.24 pppp10-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V3), V3 == V2 | pppp3-{T}(V0,V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #33: input, references = 4, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), V1 == V0, V2 == V0 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #34: input, references = 4, size of lhs = 2:
% 15.05/15.24 P_empty_set-{F}(V0), #-{F} V2 | pppp3-{T}(V0,V2)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #35: input, references = 4, size of lhs = 2:
% 15.05/15.24 P_empty_set-{F}(V0), #-{F} V1 | pppp3-{T}(V1,V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #36: input, references = 5, size of lhs = 2:
% 15.05/15.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #37: input, references = 4, size of lhs = 0:
% 15.05/15.24 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #38: input, references = 6, size of lhs = 2:
% 15.05/15.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #39: input, references = 10, size of lhs = 2:
% 15.05/15.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #40: input, references = 3, size of lhs = 1:
% 15.05/15.24 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 number of initial rules = 41
% 15.05/15.24
% 15.05/15.24 Simplifiers:
% 15.05/15.24 #41: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #42: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #43: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #44: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #45: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #46: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #47: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #48: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #49: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #50: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #51: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #52: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V4,V2), V1 == V4 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #53: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V2), V0 == V3 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #54: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V2 == V5 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #55: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #56: unsound, references = 3, size of lhs = 3:
% 15.05/15.24 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 number of simplifiers = 16
% 15.05/15.24
% 15.05/15.24 Learnt:
% 15.05/15.24 #60: mergings( V0 == V2; #58 ), references = 6, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), #-{F} V1, V1 == V0 | pppp12-{T}(V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #64: exists( #36, #1 ), references = 1, size of lhs = 1:
% 15.05/15.24 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #66: exists( #36, #22 ), references = 3, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_ordered_pair-{F}(V1,V3,V4), P_unordered_pair-{F}(V1,V3,V5) | P_unordered_pair-{T}(V5,V2,V4)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #69: exists( #39, #22 ), references = 3, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V4), P_unordered_pair-{F}(V4,V2,V5) | P_ordered_pair-{T}(V1,V3,V5)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #72: mergings( V0 == V4; #70 ), references = 1, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp13-{T}(V1,V2,V4)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #88: mergings( V3 == V4, V4 == V5; #85 ), references = 6, size of lhs = 5:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3), pppp2-{F}(V4,V3,V1), in-{F}(V5,V4) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #93: mergings( V2 == V3, V3 == V4; #90 ), references = 1, size of lhs = 4:
% 15.05/15.24 pppp12-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp2-{F}(V0,V0,V2) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #114: mergings( V0 == V5; #111 ), references = 3, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp1-{F}(V2,V1,V3) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #116: mergings( V0 == V5; #112 ), references = 1, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp2-{F}(V2,V2,V1), pppp1-{F}(V3,V2,V4) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #132: mergings( V3 == V4, V4 == V5; #129 ), references = 1, size of lhs = 7:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3), in-{F}(V4,V5), pppp2-{F}(V5,V3,V6), pppp2-{F}(V6,V7,V1), in-{F}(V8,V7) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #143: mergings( V3 == V4, V4 == V5, V5 == V6; #139 ), references = 4, size of lhs = 6:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3), in-{F}(V4,V5), pppp2-{F}(V5,V3,V6), pppp2-{F}(V7,V1,V6) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #170: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #164 ), references = 1, size of lhs = 11:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), P_singleton-{F}(V2,V3), P_singleton-{F}(V4,V3), in-{F}(V4,V5), P_unordered_pair-{F}(V2,V6,V7), P_unordered_pair-{F}(V4,V8,V7), in-{F}(V8,V9), pppp2-{F}(V5,V9,V10), pppp2-{F}(V11,V10,V1), in-{F}(V12,V11) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #185: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #180 ), references = 1, size of lhs = 12:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), P_singleton-{F}(V2,V3), P_singleton-{F}(V4,V3), in-{F}(V4,V5), P_unordered_pair-{F}(V2,V6,V7), P_unordered_pair-{F}(V4,V8,V7), in-{F}(V8,V9), pppp2-{F}(V5,V9,V10), in-{F}(V11,V12), pppp2-{F}(V10,V12,V13), pppp2-{F}(V14,V1,V13) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #199: mergings( V2 == V3; #197 ), references = 1, size of lhs = 4:
% 15.05/15.24 pppp12-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp2-{F}(V3,V2,V0) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #206: mergings( V3 == V4, V4 == V5, V5 == V6; #202 ), references = 2, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), #-{F} V2 | P_cartesian_product2-{T}(V2,V1,V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #218: disj( #15, mergings( V0 == V5; #111 ) ), references = 1, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp5-{F}(V2,V1,V3,V4) | in-{T}(V4,V3)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #219: disj( #15, mergings( V0 == V5; #112 ) ), references = 1, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp2-{F}(V2,V2,V1), pppp5-{F}(V3,V2,V4,V5) | in-{T}(V5,V4)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #275: mergings( V0 == V4; #271 ), references = 1, size of lhs = 6:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3), in-{F}(V4,V5), pppp2-{F}(V5,V3,V6), in-{F}(V7,V8) | pppp13-{T}(V6,V8,V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #277: mergings( V0 == V4; #273 ), references = 1, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3), in-{F}(V4,V5) | pppp13-{T}(V5,V3,V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #341: disj( #15, input ), references = 1, size of lhs = 1:
% 15.05/15.24 pppp5-{F}(V0,V1,V2,V2) | pppp1-{T}(V0,V1,V2)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #342: disj( #15, input ), references = 1, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp5-{F}(V2,V3,V1,V4) | pppp1-{T}(V2,V3,V4)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #343: disj( #15, mergings( V3 == V4, V4 == V5; #85 ) ), references = 1, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp2-{F}(V2,V2,V1), pppp5-{F}(V3,V4,V2,V5) | pppp1-{T}(V3,V4,V5)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #460: disj( #15, input ), references = 1, size of lhs = 2:
% 15.05/15.24 in-{F}(V0,V1), pppp5-{F}(V2,V3,V0,V1) | pppp1-{T}(V2,V3,V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #714: exists( #39, #20 ), references = 1, size of lhs = 1:
% 15.05/15.24 pppp6-{F}(V0,V1,V2,V3) | P_ordered_pair-{T}(V2,V3,V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #724: exists( #18, #718 ), references = 1, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp7-{F}(V1,V2,V3,V4) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #725: exists( #18, #719 ), references = 1, size of lhs = 5:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3), pppp2-{F}(V3,V4,V1), pppp7-{F}(V4,V5,V6,V7) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #726: exists( #18, #720 ), references = 1, size of lhs = 6:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3), pppp2-{F}(V3,V4,V5), pppp2-{F}(V6,V1,V5), pppp7-{F}(V4,V7,V8,V9) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #731: mergings( V0 == V5; #727 ), references = 2, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp1-{F}(V1,V2,V3) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #733: mergings( V0 == V5; #728 ), references = 2, size of lhs = 5:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3), pppp2-{F}(V3,V4,V1), pppp1-{F}(V4,V5,V6) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #735: mergings( V0 == V5; #729 ), references = 2, size of lhs = 6:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3), pppp2-{F}(V3,V4,V5), pppp2-{F}(V6,V1,V5), pppp1-{F}(V4,V7,V8) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #856: mergings( V2 == V3; #852 ), references = 2, size of lhs = 4:
% 15.05/15.24 pppp12-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp2-{F}(V2,V3,V0) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #858: mergings( V2 == V3; #853 ), references = 1, size of lhs = 5:
% 15.05/15.24 pppp12-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp2-{F}(V0,V3,V2), pppp2-{F}(V3,V4,V0) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #860: mergings( V2 == V3; #854 ), references = 1, size of lhs = 6:
% 15.05/15.24 pppp12-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp2-{F}(V3,V2,V4), pppp2-{F}(V0,V5,V4), pppp2-{F}(V5,V6,V0) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #869: mergings( V3 == V4, V4 == V5; #866 ), references = 2, size of lhs = 3:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), #-{F} V2 | P_cartesian_product2-{T}(V1,V2,V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #904: exists( #38, #902 ), references = 3, size of lhs = 4:
% 15.05/15.24 P_empty_set-{F}(V0), pppp10-{F}(V1,V2,V3), V1 == V0, V2 == V0 | P_cartesian_product2-{T}(V1,V2,V3)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #910: exists( #6, #906 ), references = 2, size of lhs = 5:
% 15.05/15.24 pppp12-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp2-{F}(V3,V0,V2), in-{F}(V4,V3) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #911: exists( #6, #907 ), references = 2, size of lhs = 6:
% 15.05/15.24 pppp12-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), in-{F}(V3,V4), pppp2-{F}(V4,V0,V5), pppp2-{F}(V6,V2,V5) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #927: mergings( V3 == V4, V4 == V5, V5 == V6; #922 ), references = 2, size of lhs = 5:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp11-{F}(V1,V2), V2 == V0, in-{F}(V3,V2) | pppp10-{T}(V2,V0,V1)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #931: mergings( V3 == V4, V4 == V5, V5 == V6; #923 ), references = 1, size of lhs = 6:
% 15.05/15.24 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3), V3 == V0, pppp11-{F}(V4,V3), pppp2-{F}(V5,V1,V4) | pppp10-{T}(V3,V0,V4)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #951: exists( #6, #949 ), references = 2, size of lhs = 7:
% 15.05/15.24 pppp12-{F}(V0), P_empty_set-{F}(V1), V0 == V1, pppp3-{F}(V0,V1), pppp0-{F}(V2), pppp11-{F}(V2,V0), P_cartesian_product2-{F}(V0,V1,V2) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #958: mergings( V2 == V0, V0 == V3; #955 ), references = 1, size of lhs = 2:
% 15.05/15.24 pppp0-{F}(V0), P_empty_set-{F}(V0) | pppp11-{T}(V0,V0)
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #975: mergings( V1 == V0; #973 ), references = 2, size of lhs = 3:
% 15.05/15.24 pppp0-{F}(V0), P_empty_set-{F}(V0), pppp11-{F}(V0,V0) | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 #981: exists( #37, #979 ), references = 1, size of lhs = 0:
% 15.05/15.24 FALSE | FALSE
% 15.05/15.24 (used 0 times, uses = {})
% 15.05/15.24
% 15.05/15.24 number of learnt formulas = 43
% 15.05/15.24
% 15.05/15.24
% 15.05/15.24 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.05/15.24
% 15.05/15.24 randbase = 1
%------------------------------------------------------------------------------