TSTP Solution File: SET930+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET930+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:16:58 EDT 2022
% Result : Theorem 25.96s 26.19s
% Output : Refutation 25.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET930+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 01:26:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 25.96/26.19 GeoParameters:
% 25.96/26.19
% 25.96/26.19 tptp_input = 1
% 25.96/26.19 tptp_output = 0
% 25.96/26.19 nonempty = 1
% 25.96/26.19 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.96/26.19 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 25.96/26.19
% 25.96/26.19
% 25.96/26.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.96/26.19 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.96/26.19
% 25.96/26.19 RuleSystem INPUT:
% 25.96/26.19
% 25.96/26.19 Initial Rules:
% 25.96/26.19 #0: input, references = 4, size of lhs = 2:
% 25.96/26.19 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #1: input, references = 4, size of lhs = 3:
% 25.96/26.19 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #2: input, references = 3, size of lhs = 1:
% 25.96/26.19 P_empty_set-{F}(V0) | empty-{T}(V0)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #3: input, references = 4, size of lhs = 4:
% 25.96/26.19 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V4), P_set_difference-{F}(V4,V3,V6), P_singleton-{F}(V1,V6) | pppp0-{T}(V1,V2,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #4: input, references = 6, size of lhs = 6:
% 25.96/26.19 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V4), P_set_difference-{F}(V4,V3,V5), P_singleton-{F}(V1,V6), pppp0-{F}(V1,V2,V3), V5 == V6 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #5: input, references = 4, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3), in-{F}(V1,V3) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #6: input, references = 3, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3), V1 == V2 | in-{T}(V2,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #7: input, references = 4, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), #-{F} V1, in-{F}(V2,V3) | pppp0-{T}(V1,V2,V3), in-{T}(V1,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #8: input, references = 10, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), #-{F} V2, #-{F} V3 | pppp0-{T}(V2,V2,V3), in-{T}(V2,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #9: input, references = 3, size of lhs = 1:
% 25.96/26.19 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #10: input, references = 3, size of lhs = 1:
% 25.96/26.19 pppp3-{F}(V0) | empty-{T}(V0)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #11: input, references = 3, size of lhs = 1:
% 25.96/26.19 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #12: input, references = 3, size of lhs = 2:
% 25.96/26.19 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #13: input, references = 4, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V4), P_set_difference-{F}(V4,V3,V4) | pppp1-{T}(V1,V2,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #14: input, references = 6, size of lhs = 5:
% 25.96/26.19 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V4), P_set_difference-{F}(V4,V3,V5), pppp1-{F}(V1,V2,V3), V5 == V4 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #15: input, references = 3, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3), in-{F}(V1,V3) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #16: input, references = 3, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3), in-{F}(V2,V3) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #17: input, references = 7, size of lhs = 4:
% 25.96/26.19 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp1-{T}(V1,V2,V3), in-{T}(V1,V3), in-{T}(V2,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #18: input, references = 6, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V4), P_set_difference-{F}(V4,V3,V0) | pppp2-{T}(V1,V2,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #19: input, references = 5, size of lhs = 5:
% 25.96/26.19 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V4), P_set_difference-{F}(V4,V3,V5), pppp2-{F}(V1,V2,V3), V5 == V0 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #20: input, references = 6, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3) | in-{T}(V1,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #21: input, references = 3, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3) | in-{T}(V2,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #22: input, references = 7, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), in-{F}(V1,V3), in-{F}(V2,V3) | pppp2-{T}(V1,V2,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #23: input, references = 4, size of lhs = 1:
% 25.96/26.19 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #24: input, references = 4, size of lhs = 1:
% 25.96/26.19 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V1,V0,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #25: input, references = 6, size of lhs = 1:
% 25.96/26.19 pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V2,V3,V1)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #26: input, references = 5, size of lhs = 5:
% 25.96/26.19 pppp5-{F}(V0,V1,V2,V3), P_unordered_pair-{F}(V0,V1,V4), P_set_difference-{F}(V4,V2,V4), P_singleton-{F}(V0,V6), P_singleton-{F}(V1,V7) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #27: input, references = 4, size of lhs = 5:
% 25.96/26.19 pppp5-{F}(V0,V1,V2,V3), P_unordered_pair-{F}(V0,V1,V4), P_set_difference-{F}(V4,V2,V7), P_singleton-{F}(V0,V6), P_singleton-{F}(V1,V7) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #28: input, references = 3, size of lhs = 5:
% 25.96/26.19 pppp5-{F}(V0,V1,V2,V3), P_unordered_pair-{F}(V0,V1,V4), P_set_difference-{F}(V4,V2,V6), P_singleton-{F}(V0,V6), P_singleton-{F}(V1,V7) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #29: input, references = 5, size of lhs = 5:
% 25.96/26.19 pppp5-{F}(V0,V1,V2,V3), P_unordered_pair-{F}(V0,V1,V4), P_set_difference-{F}(V4,V2,V3), P_singleton-{F}(V0,V6), P_singleton-{F}(V1,V7) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #30: input, references = 8, size of lhs = 2:
% 25.96/26.19 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #31: input, references = 4, size of lhs = 0:
% 25.96/26.19 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #32: input, references = 8, size of lhs = 2:
% 25.96/26.19 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #33: input, references = 5, size of lhs = 1:
% 25.96/26.19 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 number of initial rules = 34
% 25.96/26.19
% 25.96/26.19 Simplifiers:
% 25.96/26.19 #34: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #35: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #36: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #37: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #38: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #39: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #40: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #41: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #42: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #43: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #44: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #45: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V5), V0 == V3 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #46: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V1 == V4 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #47: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #48: unsound, references = 3, size of lhs = 3:
% 25.96/26.19 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 number of simplifiers = 15
% 25.96/26.19
% 25.96/26.19 Learnt:
% 25.96/26.19 #52: disj( #8, input ), references = 1, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1,V1,V1)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #54: mergings( V0 == V3; #50 ), references = 1, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | pppp0-{T}(V1,V1,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #56: mergings( V0 == V3; #51 ), references = 1, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | pppp0-{T}(V2,V2,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #58: exists( #32, #4 ), references = 2, size of lhs = 4:
% 25.96/26.19 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V4), pppp0-{F}(V1,V3,V5) | P_set_difference-{T}(V4,V5,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #69: mergings( V3 == V4, V4 == V5; #65 ), references = 1, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), P_singleton-{F}(V1,V0), pppp0-{F}(V1,V2,V1) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #73: mergings( V3 == V4, V4 == V5, V5 == V6; #66 ), references = 1, size of lhs = 4:
% 25.96/26.19 P_empty_set-{F}(V0), P_singleton-{F}(V1,V0), pppp0-{F}(V1,V2,V3), pppp0-{F}(V1,V4,V3) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #77: mergings( V0 == V3; #75 ), references = 1, size of lhs = 5:
% 25.96/26.19 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V1,V2), P_singleton-{F}(V1,V3), P_set_difference-{F}(V2,V4,V5), V5 == V3 | in-{T}(V1,V4)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #79: exists( #30, #1 ), references = 3, size of lhs = 1:
% 25.96/26.19 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #85: disj( #17, input, input ), references = 1, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), #-{F} V1 | pppp1-{T}(V1,V1,V1)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #87: mergings( V0 == V3; #82 ), references = 1, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3) | pppp1-{T}(V3,V1,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #89: mergings( V0 == V3; #83 ), references = 1, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3) | pppp1-{T}(V1,V3,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #93: mergings( V3 == V4; #91 ), references = 1, size of lhs = 4:
% 25.96/26.19 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp0-{F}(V1,V3,V4), pppp1-{F}(V1,V3,V4) | P_unordered_pair-{T}(V1,V3,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #101: exists( #32, #14 ), references = 4, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), pppp1-{F}(V1,V2,V4) | P_set_difference-{T}(V3,V4,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #128: mergings( V0 == V4, V4 == V6; #117 ), references = 2, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3), pppp0-{F}(V4,V5,V3) | pppp1-{T}(V1,V4,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #131: mergings( V0 == V4, V4 == V6; #118 ), references = 2, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3), pppp1-{F}(V4,V5,V3) | pppp1-{T}(V1,V4,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #134: mergings( V0 == V4, V4 == V6; #119 ), references = 1, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3), pppp1-{F}(V4,V5,V3) | pppp1-{T}(V1,V5,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #263: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #252 ), references = 3, size of lhs = 11:
% 25.96/26.19 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V2), P_unordered_pair-{F}(V4,V4,V2), P_unordered_pair-{F}(V4,V1,V5), P_singleton-{F}(V6,V7), P_unordered_pair-{F}(V6,V8,V9), P_singleton-{F}(V8,V10), P_unordered_pair-{F}(V1,V11,V9), P_unordered_pair-{F}(V11,V12,V5), pppp5-{F}(V6,V8,V13,V14) | in-{T}(V4,V13)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #275: disj( #7, input ), references = 1, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), in-{F}(V1,V2) | pppp0-{T}(V2,V1,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #277: mergings( V0 == V4; #273 ), references = 3, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp0-{F}(V3,V4,V2) | pppp0-{T}(V3,V1,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #279: mergings( V0 == V4; #274 ), references = 1, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp1-{F}(V3,V4,V2) | pppp0-{T}(V3,V1,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #290: disj( #8, input ), references = 1, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), in-{F}(V1,V2) | pppp0-{T}(V2,V2,V1)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #303: exists( #32, #19 ), references = 4, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), pppp2-{F}(V1,V2,V4) | P_set_difference-{T}(V3,V4,V0)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #328: mergings( V23 == V34, V34 == V32, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V1, V22 == V33, V24 == V35, V33 == V38, V35 == V39; #308 ), references = 1, size of lhs = 18:
% 25.96/26.19 P_empty_set-{F}(V0), pppp6-{F}(V1,V0,V2), P_singleton-{F}(V1,V3), P_unordered_pair-{F}(V1,V2,V4), P_singleton-{F}(V2,V5), P_singleton-{F}(V6,V7), P_unordered_pair-{F}(V6,V8,V7), P_unordered_pair-{F}(V9,V9,V7), P_unordered_pair-{F}(V9,V6,V10), P_unordered_pair-{F}(V6,V11,V4), P_unordered_pair-{F}(V11,V12,V10), P_unordered_pair-{F}(V13,V9,V4), P_unordered_pair-{F}(V13,V13,V14), P_singleton-{F}(V15,V14), P_unordered_pair-{F}(V15,V16,V14), P_unordered_pair-{F}(V13,V15,V17), P_unordered_pair-{F}(V15,V18,V4), P_unordered_pair-{F}(V18,V19,V17) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #363: mergings( V16 == V22, V10 == V14, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V1, V15 == V23, V17 == V24; #353 ), references = 1, size of lhs = 13:
% 25.96/26.19 P_empty_set-{F}(V0), pppp6-{F}(V1,V0,V2), P_singleton-{F}(V1,V3), P_unordered_pair-{F}(V1,V2,V4), P_singleton-{F}(V2,V5), P_singleton-{F}(V6,V7), P_unordered_pair-{F}(V6,V8,V7), P_unordered_pair-{F}(V9,V9,V7), P_unordered_pair-{F}(V9,V6,V10), P_unordered_pair-{F}(V6,V11,V4), P_unordered_pair-{F}(V11,V12,V10), P_unordered_pair-{F}(V13,V9,V4), P_unordered_pair-{F}(V13,V14,V7) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #376: mergings( V13 == V15, V15 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V9 == V11, V10 == V12, V12 == V16; #365 ), references = 1, size of lhs = 8:
% 25.96/26.19 P_empty_set-{F}(V0), pppp6-{F}(V1,V0,V2), P_singleton-{F}(V1,V3), P_singleton-{F}(V2,V4), P_unordered_pair-{F}(V2,V2,V4), P_unordered_pair-{F}(V2,V5,V4), P_unordered_pair-{F}(V1,V6,V4), P_unordered_pair-{F}(V1,V7,V4) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #426: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #421 ), references = 1, size of lhs = 5:
% 25.96/26.19 P_empty_set-{F}(V0), pppp0-{F}(V1,V2,V3), P_unordered_pair-{F}(V4,V1,V5), P_set_difference-{F}(V5,V3,V6), V6 == V5 | in-{T}(V4,V3)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #436: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #429 ), references = 1, size of lhs = 6:
% 25.96/26.19 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp0-{F}(V1,V3,V4), pppp0-{F}(V5,V6,V4), P_unordered_pair-{F}(V7,V5,V8), P_unordered_pair-{F}(V1,V7,V8) | P_set_difference-{T}(V8,V4,V8), P_set_difference-{T}(V8,V4,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #444: mergings( V0 == V1, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #437 ), references = 2, size of lhs = 10:
% 25.96/26.19 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp0-{F}(V1,V4,V5), pppp0-{F}(V6,V7,V5), P_unordered_pair-{F}(V8,V6,V9), P_unordered_pair-{F}(V1,V8,V9), P_unordered_pair-{F}(V3,V10,V9), pppp5-{F}(V3,V10,V5,V11), P_singleton-{F}(V10,V12) | P_set_difference-{T}(V9,V5,V9)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #496: mergings( V0 == V3, V9 == V13, V5 == V11, V4 == V14, V8 == V12, V10 == V15; #489 ), references = 1, size of lhs = 8:
% 25.96/26.19 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_unordered_pair-{F}(V4,V1,V5), P_unordered_pair-{F}(V1,V4,V5), P_unordered_pair-{F}(V3,V6,V5), P_singleton-{F}(V6,V7), pppp5-{F}(V3,V6,V8,V9) | in-{T}(V1,V8)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #509: mergings( V0 == V3, V3 == V4; #506 ), references = 1, size of lhs = 6:
% 25.96/26.19 P_empty_set-{F}(V0), in-{F}(V1,V2), P_unordered_pair-{F}(V3,V1,V4), P_set_difference-{F}(V4,V2,V5), P_singleton-{F}(V3,V6), V5 == V6 | in-{T}(V3,V2)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #517: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #512 ), references = 1, size of lhs = 6:
% 25.96/26.19 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_unordered_pair-{F}(V4,V1,V5), P_unordered_pair-{F}(V3,V4,V5), P_singleton-{F}(V4,V6) | P_set_difference-{T}(V5,V2,V6), P_set_difference-{T}(V5,V2,V0)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #523: mergings( V0 == V1, V1 == V2, V2 == V3, V3 == V4; #518 ), references = 1, size of lhs = 10:
% 25.96/26.19 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_unordered_pair-{F}(V4,V1,V5), P_unordered_pair-{F}(V3,V4,V5), P_singleton-{F}(V4,V6), pppp5-{F}(V7,V8,V2,V0), P_unordered_pair-{F}(V7,V8,V5), P_singleton-{F}(V7,V9), P_singleton-{F}(V8,V10) | P_set_difference-{T}(V5,V2,V6)
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #540: mergings( V13 == V18, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V1, V11 == V15, V14 == V16, V15 == V20, V16 == V19, V19 == V22, V20 == V21; #526 ), references = 1, size of lhs = 11:
% 25.96/26.19 P_empty_set-{F}(V0), pppp6-{F}(V1,V0,V2), P_unordered_pair-{F}(V1,V2,V3), P_singleton-{F}(V1,V4), P_singleton-{F}(V5,V4), P_unordered_pair-{F}(V6,V5,V3), P_unordered_pair-{F}(V5,V6,V3), P_unordered_pair-{F}(V7,V5,V3), P_unordered_pair-{F}(V5,V7,V3), P_singleton-{F}(V7,V8), P_singleton-{F}(V2,V8) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #555: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V10 == V12, V11 == V13, V12 == V15, V13 == V14, V14 == V17, V15 == V16; #542 ), references = 1, size of lhs = 4:
% 25.96/26.19 P_empty_set-{F}(V0), pppp6-{F}(V1,V0,V2), P_singleton-{F}(V1,V3), P_singleton-{F}(V2,V4) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #566: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V10 == V11, V11 == V12, V12 == V13; #556 ), references = 1, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), pppp6-{F}(V1,V0,V2), P_singleton-{F}(V1,V3) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #577: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V0, V9 == V10, V10 == V11, V11 == V12; #567 ), references = 2, size of lhs = 3:
% 25.96/26.19 P_empty_set-{F}(V0), pppp7-{F}(V0,V1), P_singleton-{F}(V1,V2) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #582: exists( #33, #577 ), references = 1, size of lhs = 2:
% 25.96/26.19 P_empty_set-{F}(V0), pppp7-{F}(V0,V1) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #584: exists( #23, #581 ), references = 1, size of lhs = 1:
% 25.96/26.19 P_empty_set-{F}(V0) | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 #586: exists( #31, #583 ), references = 1, size of lhs = 0:
% 25.96/26.19 FALSE | FALSE
% 25.96/26.19 (used 0 times, uses = {})
% 25.96/26.19
% 25.96/26.19 number of learnt formulas = 39
% 25.96/26.19
% 25.96/26.19
% 25.96/26.19 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.96/26.19
% 25.96/26.19 randbase = 1
%------------------------------------------------------------------------------