TSTP Solution File: SEU187+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU187+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:17:26 EDT 2022
% Result : Theorem 1.54s 1.74s
% Output : Refutation 1.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 : Fri Jul 22 19:14:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.54/1.74 GeoParameters:
% 1.54/1.74
% 1.54/1.74 tptp_input = 1
% 1.54/1.74 tptp_output = 0
% 1.54/1.74 nonempty = 1
% 1.54/1.74 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.54/1.74 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.54/1.74
% 1.54/1.74
% 1.54/1.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.54/1.74 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.54/1.74
% 1.54/1.74 RuleSystem INPUT:
% 1.54/1.74
% 1.54/1.74 Initial Rules:
% 1.54/1.74 #0: input, references = 13, size of lhs = 2:
% 1.54/1.74 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #1: input, references = 3, size of lhs = 1:
% 1.54/1.74 empty-{F}(V0) | relation-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #2: input, references = 4, size of lhs = 3:
% 1.54/1.74 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #3: input, references = 5, size of lhs = 2:
% 1.54/1.74 P_relation_dom-{F}(V0,V1), relation-{F}(V0) | pppp1-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #4: input, references = 3, size of lhs = 4:
% 1.54/1.74 P_relation_dom-{F}(V0,V1), relation-{F}(V0), pppp1-{F}(V0,V2), V2 == V1 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #5: input, references = 7, size of lhs = 2:
% 1.54/1.74 pppp1-{F}(V0,V1), in-{F}(V2,V1) | pppp0-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #6: input, references = 14, size of lhs = 2:
% 1.54/1.74 pppp1-{F}(V0,V1), pppp0-{F}(V0,V2) | in-{T}(V2,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #7: input, references = 9, size of lhs = 2:
% 1.54/1.74 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp14-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #8: input, references = 3, size of lhs = 1:
% 1.54/1.74 pppp14-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #9: input, references = 3, size of lhs = 3:
% 1.54/1.74 pppp4-{F}(V0,V1,V2), pppp0-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #10: input, references = 5, size of lhs = 1:
% 1.54/1.74 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp0-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #11: input, references = 4, size of lhs = 1:
% 1.54/1.74 pppp0-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #12: input, references = 7, size of lhs = 2:
% 1.54/1.74 P_ordered_pair-{F}(V1,V2,V3), in-{F}(V3,V0) | pppp0-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #13: input, references = 4, size of lhs = 2:
% 1.54/1.74 pppp5-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3) | in-{T}(V3,V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #14: input, references = 4, size of lhs = 2:
% 1.54/1.74 P_relation_rng-{F}(V0,V1), relation-{F}(V0) | pppp3-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #15: input, references = 3, size of lhs = 4:
% 1.54/1.74 P_relation_rng-{F}(V0,V1), relation-{F}(V0), pppp3-{F}(V0,V2), V2 == V1 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #16: input, references = 6, size of lhs = 2:
% 1.54/1.74 pppp3-{F}(V0,V1), in-{F}(V2,V1) | pppp2-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #17: input, references = 11, size of lhs = 2:
% 1.54/1.74 pppp3-{F}(V0,V1), pppp2-{F}(V0,V2) | in-{T}(V2,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #18: input, references = 9, size of lhs = 2:
% 1.54/1.74 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp15-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #19: input, references = 3, size of lhs = 1:
% 1.54/1.74 pppp15-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #20: input, references = 6, size of lhs = 3:
% 1.54/1.74 pppp6-{F}(V0,V1,V2), pppp2-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #21: input, references = 5, size of lhs = 1:
% 1.54/1.74 pppp6-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp2-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #22: input, references = 4, size of lhs = 1:
% 1.54/1.74 pppp2-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #23: input, references = 3, size of lhs = 2:
% 1.54/1.74 P_ordered_pair-{F}(V2,V1,V3), in-{F}(V3,V0) | pppp2-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #24: input, references = 6, size of lhs = 2:
% 1.54/1.74 pppp7-{F}(V0,V1,V2), P_ordered_pair-{F}(V2,V1,V3) | in-{T}(V3,V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #25: input, references = 5, size of lhs = 5:
% 1.54/1.74 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
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #26: input, references = 5, size of lhs = 1:
% 1.54/1.74 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #27: input, references = 5, size of lhs = 1:
% 1.54/1.74 pppp8-{F}(V0,V1) | element-{T}(V1,V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #28: input, references = 4, size of lhs = 1:
% 1.54/1.74 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #29: input, references = 3, size of lhs = 3:
% 1.54/1.74 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #30: input, references = 3, size of lhs = 3:
% 1.54/1.74 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #31: input, references = 3, size of lhs = 3:
% 1.54/1.74 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #32: input, references = 3, size of lhs = 1:
% 1.54/1.74 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #33: input, references = 4, size of lhs = 1:
% 1.54/1.74 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #34: input, references = 3, size of lhs = 4:
% 1.54/1.74 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #35: input, references = 3, size of lhs = 4:
% 1.54/1.74 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #36: input, references = 4, size of lhs = 1:
% 1.54/1.74 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #37: input, references = 3, size of lhs = 1:
% 1.54/1.74 pppp9-{F}(V0) | relation-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #38: input, references = 4, size of lhs = 1:
% 1.54/1.74 pppp9-{F}(V0) | empty-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #39: input, references = 4, size of lhs = 1:
% 1.54/1.74 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #40: input, references = 4, size of lhs = 1:
% 1.54/1.74 pppp10-{F}(V0) | empty-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #41: input, references = 3, size of lhs = 1:
% 1.54/1.74 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #42: input, references = 3, size of lhs = 1:
% 1.54/1.74 pppp11-{F}(V0) | relation-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #43: input, references = 3, size of lhs = 2:
% 1.54/1.74 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #44: input, references = 3, size of lhs = 1:
% 1.54/1.74 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #45: input, references = 3, size of lhs = 2:
% 1.54/1.74 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #46: input, references = 3, size of lhs = 2:
% 1.54/1.74 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #47: input, references = 4, size of lhs = 2:
% 1.54/1.74 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #48: input, references = 3, size of lhs = 4:
% 1.54/1.74 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | EXISTS V3: pppp13-{T}(V1,V2,V3)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #49: input, references = 4, size of lhs = 3:
% 1.54/1.74 pppp13-{F}(V0,V1,V2), in-{F}(V2,V1), in-{F}(V2,V0) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #50: input, references = 5, size of lhs = 1:
% 1.54/1.74 pppp13-{F}(V0,V1,V2) | in-{T}(V2,V0), in-{T}(V2,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #51: input, references = 4, size of lhs = 3:
% 1.54/1.74 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V0) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #52: input, references = 4, size of lhs = 5:
% 1.54/1.74 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), empty-{F}(V3), V3 == V0 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #53: input, references = 7, size of lhs = 5:
% 1.54/1.74 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), empty-{F}(V3), in-{F}(V4,V3) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #54: input, references = 3, size of lhs = 6:
% 1.54/1.74 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), empty-{F}(V3), empty-{F}(V4), V4 == V3 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #55: input, references = 7, size of lhs = 2:
% 1.54/1.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #56: input, references = 5, size of lhs = 1:
% 1.54/1.74 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #57: input, references = 5, size of lhs = 2:
% 1.54/1.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #58: input, references = 6, size of lhs = 1:
% 1.54/1.74 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #59: input, references = 4, size of lhs = 1:
% 1.54/1.74 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #60: input, references = 4, size of lhs = 0:
% 1.54/1.74 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 number of initial rules = 61
% 1.54/1.74
% 1.54/1.74 Simplifiers:
% 1.54/1.74 #61: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #62: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #63: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #64: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #65: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #66: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #67: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #68: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #69: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #70: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #71: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #72: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #73: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #74: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #75: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #76: unsound, references = 3, size of lhs = 3:
% 1.54/1.74 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 number of simplifiers = 16
% 1.54/1.74
% 1.54/1.74 Learnt:
% 1.54/1.74 #78: exists( #57, #25 ), references = 4, size of lhs = 3:
% 1.54/1.74 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)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #84: exists( #58, #52 ), references = 1, size of lhs = 4:
% 1.54/1.74 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V2), V2 == V0 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #88: exists( #56, #82 ), references = 2, size of lhs = 3:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #95: mergings( V0 == V2; #92 ), references = 1, size of lhs = 1:
% 1.54/1.74 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #102: mergings( V0 == V2; #100 ), references = 1, size of lhs = 1:
% 1.54/1.74 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #110: disj( #7, input ), references = 1, size of lhs = 4:
% 1.54/1.74 relation-{F}(V0), P_relation_dom-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp14-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #112: disj( #18, input ), references = 1, size of lhs = 4:
% 1.54/1.74 relation-{F}(V0), P_relation_rng-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp15-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #114: exists( #55, #2 ), references = 4, size of lhs = 1:
% 1.54/1.74 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #116: exists( #55, #25 ), references = 1, size of lhs = 3:
% 1.54/1.74 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)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #127: mergings( V0 == V3; #123 ), references = 3, size of lhs = 3:
% 1.54/1.74 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #130: mergings( V0 == V3, V2 == V3; #124 ), references = 1, size of lhs = 3:
% 1.54/1.74 P_empty_set-{F}(V0), element-{F}(V1,V0), P_unordered_pair-{F}(V2,V3,V0) | in-{T}(V1,V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #133: mergings( V0 == V3, V2 == V3; #125 ), references = 1, size of lhs = 3:
% 1.54/1.74 P_empty_set-{F}(V0), element-{F}(V1,V0), P_ordered_pair-{F}(V2,V3,V0) | in-{T}(V1,V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #147: mergings( V1 == V3; #144 ), references = 1, size of lhs = 5:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp13-{F}(V3,V0,V4) | in-{T}(V4,V3)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #148: disj( #50, input ), references = 1, size of lhs = 2:
% 1.54/1.74 in-{F}(V0,V1), pppp13-{F}(V2,V0,V1) | in-{T}(V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #156: disj( #10, input ), references = 1, size of lhs = 1:
% 1.54/1.74 pppp4-{F}(V0,V1,V1) | pppp0-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #190: disj( #21, input ), references = 1, size of lhs = 1:
% 1.54/1.74 pppp6-{F}(V0,V1,V1) | pppp2-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #197: disj( #18, #17+#0 ), references = 1, size of lhs = 2:
% 1.54/1.74 pppp2-{F}(V0,V1), in-{F}(V2,V1) | pppp15-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #209: mergings( V5 == V2; #207 ), references = 1, size of lhs = 6:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp1-{F}(V3,V0), in-{F}(V4,V5) | pppp14-{T}(V3,V5)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #221: disj( #7, #6+#0 ), references = 1, size of lhs = 2:
% 1.54/1.74 pppp0-{F}(V0,V1), in-{F}(V2,V1) | pppp14-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #223: mergings( V1 == V2; #219 ), references = 1, size of lhs = 5:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp0-{F}(V3,V4) | pppp14-{T}(V3,V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #224: disj( #7, #6+#20 ), references = 1, size of lhs = 3:
% 1.54/1.74 pppp0-{F}(V0,V1), pppp2-{F}(V2,V1), pppp6-{F}(V2,V3,V1) | pppp14-{T}(V0,V3)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #230: disj( #18, #17+#0 ), references = 1, size of lhs = 1:
% 1.54/1.74 pppp2-{F}(V0,V1) | pppp15-{T}(V0,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #231: disj( #18, #17+#20 ), references = 1, size of lhs = 3:
% 1.54/1.74 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), pppp6-{F}(V2,V3,V1) | pppp15-{T}(V0,V3)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #264: disj( #21, #17+#0 ), references = 1, size of lhs = 2:
% 1.54/1.74 pppp3-{F}(V0,V1), pppp6-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #265: disj( #21, #17+#20 ), references = 1, size of lhs = 4:
% 1.54/1.74 pppp3-{F}(V0,V1), pppp6-{F}(V0,V2,V3), pppp6-{F}(V4,V1,V3), pppp2-{F}(V4,V3) | in-{T}(V3,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #275: disj( #7, #5+#6+#0 ), references = 1, size of lhs = 2:
% 1.54/1.74 pppp1-{F}(V0,V1), in-{F}(V1,V2) | pppp14-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #279: disj( #7, #5+#6+#0 ), references = 1, size of lhs = 3:
% 1.54/1.74 pppp1-{F}(V0,V1), in-{F}(V1,V2), in-{F}(V2,V3) | pppp14-{T}(V0,V3)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #285: disj( #18, #17+#12+#6+#0 ), references = 1, size of lhs = 4:
% 1.54/1.74 pppp2-{F}(V0,V1), pppp1-{F}(V2,V3), in-{F}(V3,V4), P_ordered_pair-{F}(V4,V5,V1) | pppp15-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #290: disj( #18, #16+#17+#0 ), references = 1, size of lhs = 2:
% 1.54/1.74 pppp3-{F}(V0,V1), in-{F}(V1,V2) | pppp15-{T}(V0,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #294: disj( #18, #16+#17+#0 ), references = 1, size of lhs = 3:
% 1.54/1.74 pppp3-{F}(V0,V1), in-{F}(V1,V2), in-{F}(V2,V3) | pppp15-{T}(V0,V3)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #349: mergings( V6 == V3; #345 ), references = 1, size of lhs = 8:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp1-{F}(V3,V0), pppp7-{F}(V3,V4,V5), P_singleton-{F}(V5,V6), P_unordered_pair-{F}(V5,V4,V7) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #350: exists( #55, #343 ), references = 1, size of lhs = 6:
% 1.54/1.74 pppp1-{F}(V0,V1), pppp7-{F}(V0,V2,V3), P_singleton-{F}(V3,V4), P_unordered_pair-{F}(V3,V2,V5), in-{F}(V3,V6), pppp13-{F}(V1,V6,V3) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #351: exists( #55, #344 ), references = 1, size of lhs = 5:
% 1.54/1.74 pppp1-{F}(V0,V1), in-{F}(V1,V2), P_singleton-{F}(V2,V3), pppp7-{F}(V0,V4,V2), P_unordered_pair-{F}(V2,V4,V5) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #359: mergings( V6 == V3; #355 ), references = 1, size of lhs = 7:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp1-{F}(V3,V0), pppp7-{F}(V3,V4,V5), P_singleton-{F}(V5,V6) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #360: exists( #55, #353 ), references = 1, size of lhs = 5:
% 1.54/1.74 pppp1-{F}(V0,V1), pppp7-{F}(V0,V2,V3), P_singleton-{F}(V3,V4), in-{F}(V3,V5), pppp13-{F}(V1,V5,V3) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #361: exists( #55, #354 ), references = 1, size of lhs = 4:
% 1.54/1.74 pppp1-{F}(V0,V1), in-{F}(V1,V2), P_singleton-{F}(V2,V3), pppp7-{F}(V0,V4,V2) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #366: mergings( V5 == V2; #362 ), references = 1, size of lhs = 6:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp1-{F}(V3,V0), pppp7-{F}(V3,V4,V5) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #367: exists( #59, #356 ), references = 1, size of lhs = 4:
% 1.54/1.74 pppp1-{F}(V0,V1), pppp7-{F}(V0,V2,V3), in-{F}(V3,V4), pppp13-{F}(V1,V4,V3) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #368: exists( #59, #357 ), references = 2, size of lhs = 3:
% 1.54/1.74 pppp1-{F}(V0,V1), in-{F}(V1,V2), pppp7-{F}(V0,V3,V2) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #371: mergings( V6 == V3; #369 ), references = 2, size of lhs = 6:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp1-{F}(V3,V0), pppp2-{F}(V3,V4) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #378: mergings( V2 == V3; #376 ), references = 1, size of lhs = 7:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp1-{F}(V3,V0), pppp3-{F}(V3,V4), V4 == V0 | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #382: mergings( V0 == V2; #380 ), references = 2, size of lhs = 5:
% 1.54/1.74 relation-{F}(V0), empty-{F}(V0), pppp1-{F}(V0,V0), P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1) | P_relation_rng-{T}(V0,V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #398: disj( #10, input ), references = 1, size of lhs = 2:
% 1.54/1.74 in-{F}(V0,V1), pppp4-{F}(V2,V0,V1) | pppp0-{T}(V2,V1)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #400: mergings( V1 == V3; #397 ), references = 1, size of lhs = 5:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp4-{F}(V3,V0,V4) | pppp0-{T}(V3,V4)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #416: mergings( V0 == V3; #412 ), references = 1, size of lhs = 5:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp13-{F}(V0,V3,V4) | in-{T}(V4,V3)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #417: disj( #50, input ), references = 1, size of lhs = 3:
% 1.54/1.74 in-{F}(V0,V1), pppp13-{F}(V1,V2,V0), pppp13-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #418: disj( #50, input ), references = 1, size of lhs = 2:
% 1.54/1.74 in-{F}(V0,V1), pppp13-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #455: disj( #7, #6+#368 ), references = 1, size of lhs = 3:
% 1.54/1.74 pppp0-{F}(V0,V1), pppp1-{F}(V2,V1), pppp7-{F}(V2,V3,V4) | pppp14-{T}(V0,V4)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #494: mergings( V6 == V3; #492 ), references = 1, size of lhs = 5:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp5-{F}(V0,V3,V4) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #497: mergings( V0 == V3; #495 ), references = 1, size of lhs = 5:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp0-{F}(V0,V3) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #500: mergings( V3 == V0; #498 ), references = 2, size of lhs = 4:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V1), pppp0-{F}(V0,V2) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #537: mergings( V2 == V3; #534 ), references = 1, size of lhs = 5:
% 1.54/1.74 P_empty_set-{F}(V0), empty-{F}(V0), pppp1-{F}(V0,V1), V1 == V0, P_relation_dom-{F}(V0,V2) | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #542: mergings( V0 == V2; #540 ), references = 1, size of lhs = 3:
% 1.54/1.74 relation-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V0) | P_relation_dom-{T}(V0,V0)
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 #549: exists( #60, #547 ), references = 1, size of lhs = 0:
% 1.54/1.74 FALSE | FALSE
% 1.54/1.74 (used 0 times, uses = {})
% 1.54/1.74
% 1.54/1.74 number of learnt formulas = 54
% 1.54/1.74
% 1.54/1.74
% 1.54/1.74 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.54/1.74
% 1.54/1.74 randbase = 1
%------------------------------------------------------------------------------