TSTP Solution File: SEU217+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU217+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:17:30 EDT 2022
% Result : Theorem 0.34s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU217+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n008.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 : Fri Jul 22 19:43:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/0.53 GeoParameters:
% 0.34/0.53
% 0.34/0.53 tptp_input = 1
% 0.34/0.53 tptp_output = 0
% 0.34/0.53 nonempty = 1
% 0.34/0.53 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.53 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.34/0.53
% 0.34/0.53
% 0.34/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.53
% 0.34/0.53 RuleSystem INPUT:
% 0.34/0.53
% 0.34/0.53 Initial Rules:
% 0.34/0.53 #0: input, references = 3, size of lhs = 0:
% 0.34/0.53 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #1: input, references = 3, size of lhs = 1:
% 0.34/0.53 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #2: input, references = 3, size of lhs = 1:
% 0.34/0.53 pppp1-{F}(V0) | relation-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #3: input, references = 3, size of lhs = 1:
% 0.34/0.53 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #4: input, references = 3, size of lhs = 1:
% 0.34/0.53 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #5: input, references = 3, size of lhs = 1:
% 0.34/0.53 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #6: input, references = 3, size of lhs = 1:
% 0.34/0.53 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #7: input, references = 3, size of lhs = 1:
% 0.34/0.53 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #8: input, references = 3, size of lhs = 1:
% 0.34/0.53 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #9: input, references = 3, size of lhs = 2:
% 0.34/0.53 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V1,V2)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #10: input, references = 3, size of lhs = 1:
% 0.34/0.53 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #11: input, references = 3, size of lhs = 2:
% 0.34/0.53 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #12: input, references = 4, size of lhs = 1:
% 0.34/0.53 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #13: input, references = 3, size of lhs = 1:
% 0.34/0.53 pppp3-{F}(V0) | relation-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #14: input, references = 5, size of lhs = 1:
% 0.34/0.53 pppp3-{F}(V0) | empty-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #15: input, references = 3, size of lhs = 2:
% 0.34/0.53 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #16: input, references = 3, size of lhs = 1:
% 0.34/0.53 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #17: input, references = 3, size of lhs = 1:
% 0.34/0.53 pppp4-{F}(V0) | relation-{T}(V0)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #18: input, references = 3, size of lhs = 2:
% 0.34/0.53 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #19: input, references = 5, size of lhs = 4:
% 0.34/0.53 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #20: input, references = 5, size of lhs = 3:
% 0.34/0.53 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.34/0.53 (used 0 times, uses = {})
% 0.34/0.53
% 0.34/0.53 #21: input, references = 3, size of lhs = 3:
% 0.36/0.53 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #22: input, references = 4, size of lhs = 1:
% 0.36/0.53 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #23: input, references = 5, size of lhs = 1:
% 0.36/0.53 pppp5-{F}(V0) | empty-{T}(V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #24: input, references = 3, size of lhs = 1:
% 0.36/0.53 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #25: input, references = 3, size of lhs = 2:
% 0.36/0.53 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #26: input, references = 4, size of lhs = 2:
% 0.36/0.53 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #27: input, references = 7, size of lhs = 3:
% 0.36/0.53 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #28: input, references = 7, size of lhs = 4:
% 0.36/0.53 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #29: input, references = 4, size of lhs = 3:
% 0.36/0.53 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #30: input, references = 6, size of lhs = 2:
% 0.36/0.53 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | relation-{T}(V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #31: input, references = 3, size of lhs = 1:
% 0.36/0.53 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #32: input, references = 3, size of lhs = 1:
% 0.36/0.53 pppp7-{F}(V0) | function-{T}(V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #33: input, references = 3, size of lhs = 1:
% 0.36/0.53 pppp7-{F}(V0) | relation-{T}(V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #34: input, references = 3, size of lhs = 2:
% 0.36/0.53 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | relation-{T}(V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #35: input, references = 6, size of lhs = 2:
% 0.36/0.53 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | function-{T}(V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #36: input, references = 3, size of lhs = 2:
% 0.36/0.53 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #37: input, references = 3, size of lhs = 3:
% 0.36/0.53 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #38: input, references = 4, size of lhs = 1:
% 0.36/0.53 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #39: input, references = 4, size of lhs = 1:
% 0.36/0.53 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #40: input, references = 4, size of lhs = 3:
% 0.36/0.53 pppp8-{F}(V0,V1), P_identity_relation-{F}(V0,V2), P_apply-{F}(V2,V1,V1) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #41: input, references = 5, size of lhs = 3:
% 0.36/0.53 pppp8-{F}(V0,V1), P_identity_relation-{F}(V0,V2), P_apply-{F}(V2,V1,V3) | in-{T}(V1,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #42: input, references = 6, size of lhs = 4:
% 0.36/0.53 P_empty_set-{F}(V0), relation-{F}(V3), function-{F}(V3), P_identity_relation-{F}(V2,V3) | pppp0-{T}(V2,V3)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #43: input, references = 3, size of lhs = 6:
% 0.36/0.53 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_identity_relation-{F}(V2,V3), pppp0-{F}(V2,V1), V1 == V3 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #44: input, references = 4, size of lhs = 4:
% 0.36/0.53 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V3), pppp0-{F}(V1,V2), V3 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #45: input, references = 5, size of lhs = 6:
% 0.36/0.53 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V3), pppp0-{F}(V1,V2), P_apply-{F}(V2,V4,V5), in-{F}(V4,V1), V5 == V4 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #46: input, references = 3, size of lhs = 2:
% 0.36/0.53 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V1) | pppp0-{T}(V1,V2), pppp11-{T}(V1,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #47: input, references = 3, size of lhs = 1:
% 0.36/0.53 pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #48: input, references = 3, size of lhs = 2:
% 0.36/0.53 pppp10-{F}(V0,V1,V2), P_apply-{F}(V1,V2,V2) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #49: input, references = 3, size of lhs = 2:
% 0.36/0.53 pppp10-{F}(V0,V1,V2), P_apply-{F}(V1,V2,V3) | in-{T}(V2,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #50: input, references = 4, size of lhs = 0:
% 0.36/0.53 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #51: input, references = 5, size of lhs = 1:
% 0.36/0.53 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #52: input, references = 5, size of lhs = 1:
% 0.36/0.53 #-{F} V0 | EXISTS V1: P_identity_relation-{T}(V0,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #53: input, references = 5, size of lhs = 2:
% 0.36/0.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 number of initial rules = 54
% 0.36/0.53
% 0.36/0.53 Simplifiers:
% 0.36/0.53 #54: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #55: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #56: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 P_identity_relation-{F}(V0,V1), P_identity_relation-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #57: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #58: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #59: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #60: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #61: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #62: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #63: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #64: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #65: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #66: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #67: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #68: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #69: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V1,V5), V0 == V3 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #70: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 number of simplifiers = 17
% 0.36/0.53
% 0.36/0.53 Learnt:
% 0.36/0.53 #77: mergings( V0 == V2; #74 ), references = 1, size of lhs = 1:
% 0.36/0.53 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #79: mergings( V0 == V2; #75 ), references = 1, size of lhs = 2:
% 0.36/0.53 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #85: mergings( V2 == V3; #82 ), references = 1, size of lhs = 2:
% 0.36/0.53 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #87: mergings( V2 == V3; #83 ), references = 1, size of lhs = 3:
% 0.36/0.53 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #96: exists( #51, #44 ), references = 4, size of lhs = 2:
% 0.36/0.53 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | P_relation_dom-{T}(V2,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #119: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #112 ), references = 1, size of lhs = 2:
% 0.36/0.53 empty-{F}(V0), P_empty_set-{F}(V1) | P_identity_relation-{T}(V0,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #125: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #113 ), references = 1, size of lhs = 3:
% 0.36/0.53 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_identity_relation-{T}(V0,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #133: mergings( V0 == V2; #130 ), references = 1, size of lhs = 1:
% 0.36/0.53 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #135: mergings( V0 == V2; #131 ), references = 1, size of lhs = 2:
% 0.36/0.53 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #148: mergings( V0 == V3; #144 ), references = 1, size of lhs = 3:
% 0.36/0.53 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #151: mergings( V0 == V3, V2 == V3; #145 ), references = 1, size of lhs = 4:
% 0.36/0.53 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #153: mergings( V2 == V0; #146 ), references = 1, size of lhs = 3:
% 0.36/0.53 P_empty_set-{F}(V0), pppp6-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #165: exists( #53, #45 ), references = 1, size of lhs = 4:
% 0.36/0.53 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp0-{F}(V2,V3), P_relation_dom-{F}(V3,V4) | P_apply-{T}(V3,V1,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #184: exists( #53, #180 ), references = 1, size of lhs = 4:
% 0.36/0.53 P_empty_set-{F}(V0), pppp8-{F}(V1,V2), in-{F}(V1,V2), P_identity_relation-{F}(V1,V3) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #185: exists( #53, #181 ), references = 2, size of lhs = 5:
% 0.36/0.53 P_empty_set-{F}(V0), pppp8-{F}(V1,V2), P_identity_relation-{F}(V1,V3), pppp0-{F}(V1,V3), P_relation_dom-{F}(V3,V4) | P_apply-{T}(V3,V2,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #188: exists( #39, #186 ), references = 1, size of lhs = 5:
% 0.36/0.53 pppp9-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V0,V2), P_identity_relation-{F}(V0,V2), P_relation_dom-{F}(V2,V3) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #198: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #193 ), references = 1, size of lhs = 2:
% 0.36/0.53 pppp9-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #205: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #199 ), references = 1, size of lhs = 1:
% 0.36/0.53 P_empty_set-{F}(V0) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #207: exists( #50, #199 ), references = 1, size of lhs = 0:
% 0.36/0.53 FALSE | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 number of learnt formulas = 19
% 0.36/0.53
% 0.36/0.53
% 0.36/0.53 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.53
% 0.36/0.53 randbase = 1
%------------------------------------------------------------------------------