TSTP Solution File: SET997+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET997+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 06:17:03 EDT 2022
% Result : Theorem 10.72s 10.91s
% Output : Refutation 10.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET997+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % 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 01:20:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.72/10.91 GeoParameters:
% 10.72/10.91
% 10.72/10.91 tptp_input = 1
% 10.72/10.91 tptp_output = 0
% 10.72/10.91 nonempty = 1
% 10.72/10.91 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.72/10.91 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 10.72/10.91
% 10.72/10.91
% 10.72/10.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.72/10.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.72/10.91
% 10.72/10.91 RuleSystem INPUT:
% 10.72/10.91
% 10.72/10.91 Initial Rules:
% 10.72/10.91 #0: input, references = 11, size of lhs = 2:
% 10.72/10.91 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1: input, references = 3, size of lhs = 1:
% 10.72/10.91 empty-{F}(V0) | function-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #2: input, references = 3, size of lhs = 1:
% 10.72/10.91 empty-{F}(V0) | relation-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #3: input, references = 3, size of lhs = 1:
% 10.72/10.91 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #4: input, references = 9, size of lhs = 1:
% 10.72/10.91 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #5: input, references = 11, size of lhs = 2:
% 10.72/10.91 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #6: input, references = 14, size of lhs = 2:
% 10.72/10.91 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp18-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #7: input, references = 6, size of lhs = 1:
% 10.72/10.91 pppp18-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #8: input, references = 9, size of lhs = 2:
% 10.72/10.91 pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #9: input, references = 6, size of lhs = 1:
% 10.72/10.91 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #10: input, references = 4, size of lhs = 3:
% 10.72/10.91 P_relation_rng-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | pppp2-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #11: input, references = 3, size of lhs = 5:
% 10.72/10.91 P_relation_rng-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), pppp2-{F}(V0,V2), V2 == V1 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #12: input, references = 7, size of lhs = 2:
% 10.72/10.91 pppp2-{F}(V0,V1), in-{F}(V2,V1) | pppp1-{T}(V0,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #13: input, references = 16, size of lhs = 2:
% 10.72/10.91 pppp2-{F}(V0,V1), pppp1-{F}(V0,V2) | in-{T}(V2,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #14: input, references = 10, size of lhs = 2:
% 10.72/10.91 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp19-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #15: input, references = 3, size of lhs = 1:
% 10.72/10.91 pppp19-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #16: input, references = 6, size of lhs = 3:
% 10.72/10.91 pppp4-{F}(V0,V1,V2), pppp1-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #17: input, references = 5, size of lhs = 1:
% 10.72/10.91 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp1-{T}(V0,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #18: input, references = 4, size of lhs = 2:
% 10.72/10.91 P_relation_dom-{F}(V0,V2), pppp1-{F}(V0,V1) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #19: input, references = 12, size of lhs = 3:
% 10.72/10.91 P_relation_dom-{F}(V0,V2), P_apply-{F}(V0,V3,V4), in-{F}(V3,V2) | pppp1-{T}(V0,V4)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #20: input, references = 4, size of lhs = 3:
% 10.72/10.91 pppp5-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), V1 == V4 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #21: input, references = 4, size of lhs = 2:
% 10.72/10.91 pppp5-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4) | in-{T}(V2,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #22: input, references = 6, size of lhs = 1:
% 10.72/10.91 #-{F} V0 | EXISTS V1: pppp6-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #23: input, references = 6, size of lhs = 1:
% 10.72/10.91 pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #24: input, references = 3, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | empty-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #25: input, references = 3, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | relation-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #26: input, references = 3, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #27: input, references = 4, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #28: input, references = 3, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | empty-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #29: input, references = 3, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | empty-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #30: input, references = 3, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | relation-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #31: input, references = 3, size of lhs = 4:
% 10.72/10.91 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #32: input, references = 3, size of lhs = 4:
% 10.72/10.91 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #33: input, references = 5, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #34: input, references = 3, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #35: input, references = 5, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #36: input, references = 3, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #37: input, references = 3, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #38: input, references = 3, size of lhs = 1:
% 10.72/10.91 pppp7-{F}(V0) | function-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #39: input, references = 3, size of lhs = 1:
% 10.72/10.91 pppp7-{F}(V0) | relation-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #40: input, references = 4, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #41: input, references = 3, size of lhs = 1:
% 10.72/10.91 pppp8-{F}(V0) | relation-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #42: input, references = 5, size of lhs = 1:
% 10.72/10.91 pppp8-{F}(V0) | empty-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #43: input, references = 4, size of lhs = 2:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp20-{T}(V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #44: input, references = 3, size of lhs = 1:
% 10.72/10.91 pppp20-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #45: input, references = 3, size of lhs = 2:
% 10.72/10.91 pppp9-{F}(V0,V1), empty-{F}(V0) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #46: input, references = 3, size of lhs = 1:
% 10.72/10.91 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #47: input, references = 4, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #48: input, references = 5, size of lhs = 1:
% 10.72/10.91 pppp10-{F}(V0) | empty-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #49: input, references = 3, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #50: input, references = 3, size of lhs = 1:
% 10.72/10.91 pppp11-{F}(V0) | relation-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #51: input, references = 4, size of lhs = 2:
% 10.72/10.91 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #52: input, references = 4, size of lhs = 2:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp12-{T}(V3,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #53: input, references = 4, size of lhs = 1:
% 10.72/10.91 pppp12-{F}(V0,V1) | empty-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #54: input, references = 3, size of lhs = 1:
% 10.72/10.91 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #55: input, references = 3, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #56: input, references = 3, size of lhs = 2:
% 10.72/10.91 pppp13-{F}(V0), empty-{F}(V0) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #57: input, references = 3, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #58: input, references = 3, size of lhs = 1:
% 10.72/10.91 pppp14-{F}(V0) | relation_empty_yielding-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #59: input, references = 3, size of lhs = 1:
% 10.72/10.91 pppp14-{F}(V0) | relation-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #60: input, references = 3, size of lhs = 2:
% 10.72/10.91 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #61: input, references = 4, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #62: input, references = 4, size of lhs = 3:
% 10.72/10.91 pppp17-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | EXISTS V3: pppp16-{T}(V3,V0,V1,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #63: input, references = 4, size of lhs = 3:
% 10.72/10.91 pppp17-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | function-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #64: input, references = 4, size of lhs = 3:
% 10.72/10.91 pppp17-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | relation-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #65: input, references = 6, size of lhs = 2:
% 10.72/10.91 pppp16-{F}(V0,V1,V2,V3), subset-{F}(V0,V3) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #66: input, references = 5, size of lhs = 2:
% 10.72/10.91 pppp16-{F}(V0,V1,V2,V3), in-{F}(V4,V0) | EXISTS V5: pppp15-{T}(V1,V4,V5,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #67: input, references = 4, size of lhs = 3:
% 10.72/10.91 pppp15-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), V1 == V4 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #68: input, references = 6, size of lhs = 2:
% 10.72/10.91 pppp15-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4) | in-{T}(V2,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #69: input, references = 10, size of lhs = 2:
% 10.72/10.91 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #70: input, references = 5, size of lhs = 2:
% 10.72/10.91 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #71: input, references = 5, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #72: input, references = 8, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #73: input, references = 6, size of lhs = 4:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #74: input, references = 4, size of lhs = 5:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #75: input, references = 10, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #76: input, references = 4, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #77: input, references = 8, size of lhs = 4:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #78: input, references = 6, size of lhs = 1:
% 10.72/10.91 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #79: input, references = 6, size of lhs = 1:
% 10.72/10.91 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #80: input, references = 7, size of lhs = 2:
% 10.72/10.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #81: input, references = 4, size of lhs = 0:
% 10.72/10.91 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #82: input, references = 3, size of lhs = 1:
% 10.72/10.91 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 number of initial rules = 83
% 10.72/10.91
% 10.72/10.91 Simplifiers:
% 10.72/10.91 #83: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #84: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #85: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #86: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #87: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #88: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #89: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #90: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #91: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #92: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #93: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #94: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #95: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #96: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #97: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #98: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #99: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #100: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #101: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #102: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #103: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #104: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #105: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #106: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #107: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #108: unsound, references = 3, size of lhs = 3:
% 10.72/10.91 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 number of simplifiers = 26
% 10.72/10.91
% 10.72/10.91 Learnt:
% 10.72/10.91 #115: mergings( V0 == V2; #112 ), references = 1, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #117: mergings( V0 == V2; #113 ), references = 1, size of lhs = 2:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #124: mergings( V0 == V2; #121 ), references = 1, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #126: mergings( V0 == V2; #122 ), references = 1, size of lhs = 2:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #139: mergings( V2 == V3; #136 ), references = 1, size of lhs = 2:
% 10.72/10.91 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #141: mergings( V2 == V3; #137 ), references = 1, size of lhs = 3:
% 10.72/10.91 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #156: mergings( V2 == V3; #153 ), references = 1, size of lhs = 2:
% 10.72/10.91 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #158: mergings( V2 == V3; #154 ), references = 1, size of lhs = 3:
% 10.72/10.91 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #183: disj( #70, input ), references = 2, size of lhs = 2:
% 10.72/10.91 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #185: mergings( V0 == V3; #182 ), references = 5, size of lhs = 5:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #200: disj( #14, input ), references = 1, size of lhs = 5:
% 10.72/10.91 relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp19-{T}(V0,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #225: mergings( V2 == V3, V3 == V4; #220 ), references = 1, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2) | pppp18-{T}(V2,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #240: mergings( V2 == V3, V3 == V6; #235 ), references = 1, size of lhs = 6:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), element-{F}(V4,V5), V5 == V2 | pppp18-{T}(V5,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #244: mergings( V2 == V3, V3 == V6, V0 == V6; #236 ), references = 1, size of lhs = 7:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), V2 == V3, P_powerset-{F}(V4,V1), element-{F}(V5,V2) | pppp18-{T}(V2,V4)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #247: mergings( V2 == V3, V0 == V3; #237 ), references = 1, size of lhs = 6:
% 10.72/10.91 P_empty_set-{F}(V0), pppp11-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), element-{F}(V4,V0) | pppp18-{T}(V0,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #258: mergings( V0 == V3; #254 ), references = 4, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #261: mergings( V0 == V3, V2 == V3; #255 ), references = 1, size of lhs = 4:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #263: mergings( V2 == V0; #256 ), references = 1, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), pppp11-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #294: mergings( V2 == V5; #291 ), references = 7, size of lhs = 5:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #318: exists( #80, #314 ), references = 1, size of lhs = 5:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), P_relation_dom-{F}(V2,V3), in-{F}(V4,V3) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #320: mergings( V6 == V3; #317 ), references = 1, size of lhs = 7:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp2-{F}(V3,V0), P_relation_dom-{F}(V3,V4), in-{F}(V5,V4) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #323: disj( #14, exists( #80, #314 ) ), references = 1, size of lhs = 4:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V3), in-{F}(V4,V3) | pppp19-{T}(V2,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #325: mergings( V1 == V2; #322 ), references = 1, size of lhs = 6:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V4), in-{F}(V5,V4) | pppp19-{T}(V3,V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #342: mergings( V0 == V4; #340 ), references = 1, size of lhs = 2:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp12-{T}(V0,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #370: mergings( V0 == V3; #366 ), references = 1, size of lhs = 3:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp20-{T}(V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #373: mergings( V0 == V3, V1 == V3; #367 ), references = 1, size of lhs = 4:
% 10.72/10.91 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp20-{T}(V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #377: mergings( V0 == V4, V2 == V3, V1 == V4; #368 ), references = 1, size of lhs = 4:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp20-{T}(V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #403: disj( #14, #12+#13+#0 ), references = 1, size of lhs = 2:
% 10.72/10.91 pppp2-{F}(V0,V1), in-{F}(V1,V2) | pppp19-{T}(V0,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #422: disj( #14, #13+#0 ), references = 1, size of lhs = 1:
% 10.72/10.91 pppp1-{F}(V0,V1) | pppp19-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #450: mergings( V2 == V3; #448 ), references = 1, size of lhs = 4:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V2 == V0, in-{F}(V2,V3) | pppp18-{T}(V3,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #454: disj( #17, input ), references = 1, size of lhs = 1:
% 10.72/10.91 pppp4-{F}(V0,V1,V1) | pppp1-{T}(V0,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #462: exists( #22, #460 ), references = 1, size of lhs = 3:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp6-{T}(V1,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #485: disj( #17, input ), references = 1, size of lhs = 2:
% 10.72/10.91 in-{F}(V0,V1), pppp4-{F}(V2,V0,V1) | pppp1-{T}(V2,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #528: mergings( V3 == V5; #526 ), references = 2, size of lhs = 4:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp18-{F}(V1,V2), P_empty_set-{F}(V3) | pppp3-{T}(V1,V2,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #562: mergings( V3 == V7; #560 ), references = 1, size of lhs = 6:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp2-{F}(V2,V1), P_relation_dom-{F}(V2,V3), in-{F}(V4,V3), P_empty_set-{F}(V5) | P_apply-{T}(V2,V4,V5)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #599: disj( #6, #528+#8 ), references = 1, size of lhs = 4:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), in-{F}(V2,V3) | pppp0-{T}(V1,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #606: disj( #6, #5+#0 ), references = 1, size of lhs = 1:
% 10.72/10.91 in-{F}(V0,V1) | pppp18-{T}(V1,V0)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #628: disj( #14, #13+#0 ), references = 1, size of lhs = 2:
% 10.72/10.91 pppp1-{F}(V0,V1), in-{F}(V2,V1) | pppp19-{T}(V0,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #682: mergings( V2 == V3, V3 == V7; #679 ), references = 1, size of lhs = 6:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), element-{F}(V4,V2), V4 == V3 | pppp6-{T}(V4,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #717: mergings( V3 == V6; #715 ), references = 2, size of lhs = 5:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp0-{F}(V3,V1), pppp18-{F}(V3,V4) | pppp3-{T}(V3,V4,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #770: disj( #6, #717+#8 ), references = 1, size of lhs = 5:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp0-{F}(V3,V1), in-{F}(V2,V4) | pppp0-{T}(V3,V4)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #816: exists( #80, #20 ), references = 2, size of lhs = 1:
% 10.72/10.91 pppp5-{F}(V0,V1,V2,V3) | P_apply-{T}(V0,V2,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #824: mergings( V4 == V6; #822 ), references = 1, size of lhs = 5:
% 10.72/10.91 empty-{F}(V0), P_powerset-{F}(V0,V1), P_relation_dom-{F}(V2,V1), pppp1-{F}(V2,V3), P_empty_set-{F}(V4) | pppp5-{T}(V2,V3,V4,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #901: mergings( V2 == V3; #899 ), references = 1, size of lhs = 4:
% 10.72/10.91 P_empty_set-{F}(V0), in-{F}(V1,V2), P_powerset-{F}(V3,V4), pppp16-{F}(V1,V5,V6,V3) | pppp18-{T}(V2,V4)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1015: disj( #14, #12+#16 ), references = 1, size of lhs = 3:
% 10.72/10.91 in-{F}(V0,V1), in-{F}(V0,V2), pppp4-{F}(V3,V2,V0) | pppp19-{T}(V3,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1091: disj( #6, #5+#19+#13+#0 ), references = 1, size of lhs = 5:
% 10.72/10.91 in-{F}(V0,V1), P_relation_dom-{F}(V2,V3), P_apply-{F}(V2,V0,V4), pppp2-{F}(V2,V5), in-{F}(V5,V4) | pppp18-{T}(V1,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1092: disj( #6, #5+#19+#13+#16 ), references = 1, size of lhs = 6:
% 10.72/10.91 in-{F}(V0,V1), P_relation_dom-{F}(V2,V3), P_apply-{F}(V2,V0,V4), pppp2-{F}(V2,V5), pppp4-{F}(V6,V5,V4), pppp1-{F}(V6,V4) | pppp18-{T}(V1,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1093: disj( #6, #5+#19+#13+#8 ), references = 1, size of lhs = 5:
% 10.72/10.91 in-{F}(V0,V1), P_relation_dom-{F}(V2,V3), P_apply-{F}(V2,V0,V4), pppp2-{F}(V2,V5), pppp3-{F}(V6,V5,V4) | pppp18-{T}(V1,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1134: exists( #80, #67 ), references = 4, size of lhs = 1:
% 10.72/10.91 pppp15-{F}(V0,V1,V2,V3) | P_apply-{T}(V0,V2,V1)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1141: exists( #66, #1139 ), references = 1, size of lhs = 5:
% 10.72/10.91 P_relation_dom-{F}(V0,V1), pppp16-{F}(V2,V0,V1,V3), in-{F}(V4,V2), in-{F}(V4,V5), pppp4-{F}(V0,V5,V4) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1178: exists( #66, #1174 ), references = 1, size of lhs = 4:
% 10.72/10.91 P_relation_dom-{F}(V0,V1), pppp2-{F}(V0,V2), in-{F}(V2,V3), pppp16-{F}(V3,V0,V1,V4) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1179: exists( #66, #1175 ), references = 2, size of lhs = 5:
% 10.72/10.91 P_relation_dom-{F}(V0,V1), pppp2-{F}(V0,V2), pppp3-{F}(V3,V2,V4), in-{F}(V4,V5), pppp16-{F}(V5,V0,V1,V6) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1326: mergings( V2 == V3, V3 == V4; #1323 ), references = 1, size of lhs = 6:
% 10.72/10.91 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), P_powerset-{F}(V4,V5), P_powerset-{F}(V6,V4), pppp16-{F}(V1,V7,V8,V6) | pppp18-{T}(V3,V5)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1462: disj( #14, #12+#13+#0 ), references = 1, size of lhs = 3:
% 10.72/10.91 pppp2-{F}(V0,V1), in-{F}(V1,V2), in-{F}(V2,V3) | pppp19-{T}(V0,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1463: disj( #14, #12+#13+#8 ), references = 1, size of lhs = 3:
% 10.72/10.91 pppp2-{F}(V0,V1), pppp3-{F}(V2,V1,V3), in-{F}(V3,V4) | pppp19-{T}(V0,V4)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1525: disj( #6, #4+#65 ), references = 1, size of lhs = 1:
% 10.72/10.91 pppp16-{F}(V0,V1,V2,V3) | pppp18-{T}(V0,V3)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1561: exists( #7, #1558 ), references = 1, size of lhs = 4:
% 10.72/10.91 pppp18-{F}(V0,V1), pppp2-{F}(V2,V1), P_relation_dom-{F}(V2,V3), pppp16-{F}(V0,V2,V3,V4) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1564: exists( #62, #1562 ), references = 1, size of lhs = 4:
% 10.72/10.91 pppp17-{F}(V0), P_relation_rng-{F}(V0,V1), pppp2-{F}(V0,V1), P_relation_dom-{F}(V0,V2) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1569: mergings( V2 == V3; #1567 ), references = 1, size of lhs = 3:
% 10.72/10.91 relation-{F}(V0), pppp17-{F}(V0), P_relation_rng-{F}(V0,V1) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1571: exists( #78, #1567 ), references = 2, size of lhs = 2:
% 10.72/10.91 relation-{F}(V0), pppp17-{F}(V0) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1590: mergings( V2 == V3, V3 == V4; #1587 ), references = 1, size of lhs = 6:
% 10.72/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, pppp3-{F}(V3,V1,V4), in-{F}(V4,V5), in-{F}(V5,V6) | pppp18-{T}(V6,V2)
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1643: exists( #79, #1639 ), references = 1, size of lhs = 2:
% 10.72/10.91 pppp17-{F}(V0), P_relation_rng-{F}(V0,V1) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1646: exists( #78, #1641 ), references = 1, size of lhs = 1:
% 10.72/10.91 pppp17-{F}(V0) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1649: exists( #61, #1644 ), references = 1, size of lhs = 1:
% 10.72/10.91 P_empty_set-{F}(V0) | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 #1652: exists( #81, #1647 ), references = 1, size of lhs = 0:
% 10.72/10.91 FALSE | FALSE
% 10.72/10.91 (used 0 times, uses = {})
% 10.72/10.91
% 10.72/10.91 number of learnt formulas = 65
% 10.72/10.91
% 10.72/10.91
% 10.72/10.91 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.72/10.91
% 10.72/10.91 randbase = 1
%------------------------------------------------------------------------------