TSTP Solution File: SET996+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET996+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 231.65s 231.86s
% Output : Refutation 231.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET996+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 02:41:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 231.65/231.86 GeoParameters:
% 231.65/231.86
% 231.65/231.86 tptp_input = 1
% 231.65/231.86 tptp_output = 0
% 231.65/231.86 nonempty = 1
% 231.65/231.86 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 231.65/231.86 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 231.65/231.86
% 231.65/231.86
% 231.65/231.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 231.65/231.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 231.65/231.86
% 231.65/231.86 RuleSystem INPUT:
% 231.65/231.86
% 231.65/231.86 Initial Rules:
% 231.65/231.86 #0: input, references = 13, size of lhs = 2:
% 231.65/231.86 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1: input, references = 4, size of lhs = 1:
% 231.65/231.86 empty-{F}(V0) | function-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2: input, references = 3, size of lhs = 1:
% 231.65/231.86 empty-{F}(V0) | relation-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #3: input, references = 7, size of lhs = 1:
% 231.65/231.86 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #4: input, references = 4, size of lhs = 1:
% 231.65/231.86 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #5: input, references = 29, size of lhs = 2:
% 231.65/231.86 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #6: input, references = 16, size of lhs = 2:
% 231.65/231.86 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp18-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #7: input, references = 7, size of lhs = 1:
% 231.65/231.86 pppp18-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #8: input, references = 14, size of lhs = 2:
% 231.65/231.86 pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #9: input, references = 7, size of lhs = 1:
% 231.65/231.86 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #10: input, references = 4, size of lhs = 3:
% 231.65/231.86 P_relation_rng-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | pppp2-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #11: input, references = 3, size of lhs = 5:
% 231.65/231.86 P_relation_rng-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), pppp2-{F}(V0,V2), V2 == V1 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #12: input, references = 19, size of lhs = 2:
% 231.65/231.86 pppp2-{F}(V0,V1), in-{F}(V2,V1) | pppp1-{T}(V0,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #13: input, references = 25, size of lhs = 2:
% 231.65/231.86 pppp2-{F}(V0,V1), pppp1-{F}(V0,V2) | in-{T}(V2,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #14: input, references = 11, size of lhs = 2:
% 231.65/231.86 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp19-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #15: input, references = 8, size of lhs = 1:
% 231.65/231.86 pppp19-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #16: input, references = 4, size of lhs = 3:
% 231.65/231.86 pppp4-{F}(V0,V1,V2), pppp1-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #17: input, references = 5, size of lhs = 1:
% 231.65/231.86 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp1-{T}(V0,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #18: input, references = 6, size of lhs = 2:
% 231.65/231.86 P_relation_dom-{F}(V0,V2), pppp1-{F}(V0,V1) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #19: input, references = 12, size of lhs = 3:
% 231.65/231.86 P_relation_dom-{F}(V0,V2), P_apply-{F}(V0,V3,V4), in-{F}(V3,V2) | pppp1-{T}(V0,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #20: input, references = 13, size of lhs = 3:
% 231.65/231.86 pppp5-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), V1 == V4 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #21: input, references = 6, size of lhs = 2:
% 231.65/231.86 pppp5-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4) | in-{T}(V2,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #22: input, references = 10, size of lhs = 1:
% 231.65/231.86 #-{F} V0 | EXISTS V1: pppp6-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #23: input, references = 10, size of lhs = 1:
% 231.65/231.86 pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #24: input, references = 4, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | empty-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #25: input, references = 4, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | relation-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #26: input, references = 3, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #27: input, references = 3, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #28: input, references = 3, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | empty-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #29: input, references = 3, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | empty-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #30: input, references = 3, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | relation-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #31: input, references = 5, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #32: input, references = 3, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #33: input, references = 5, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #34: input, references = 3, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #35: input, references = 5, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #36: input, references = 3, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #37: input, references = 3, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #38: input, references = 3, size of lhs = 1:
% 231.65/231.86 pppp7-{F}(V0) | function-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #39: input, references = 3, size of lhs = 1:
% 231.65/231.86 pppp7-{F}(V0) | relation-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #40: input, references = 4, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #41: input, references = 3, size of lhs = 1:
% 231.65/231.86 pppp8-{F}(V0) | relation-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #42: input, references = 5, size of lhs = 1:
% 231.65/231.86 pppp8-{F}(V0) | empty-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #43: input, references = 4, size of lhs = 2:
% 231.65/231.86 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp20-{T}(V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #44: input, references = 3, size of lhs = 1:
% 231.65/231.86 pppp20-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #45: input, references = 3, size of lhs = 2:
% 231.65/231.86 pppp9-{F}(V0,V1), empty-{F}(V0) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #46: input, references = 3, size of lhs = 1:
% 231.65/231.86 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #47: input, references = 4, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #48: input, references = 5, size of lhs = 1:
% 231.65/231.86 pppp10-{F}(V0) | empty-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #49: input, references = 3, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #50: input, references = 3, size of lhs = 1:
% 231.65/231.86 pppp11-{F}(V0) | relation-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #51: input, references = 3, size of lhs = 2:
% 231.65/231.86 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #52: input, references = 4, size of lhs = 2:
% 231.65/231.86 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp12-{T}(V3,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #53: input, references = 4, size of lhs = 1:
% 231.65/231.86 pppp12-{F}(V0,V1) | empty-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #54: input, references = 3, size of lhs = 1:
% 231.65/231.86 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #55: input, references = 3, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #56: input, references = 3, size of lhs = 2:
% 231.65/231.86 pppp13-{F}(V0), empty-{F}(V0) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #57: input, references = 3, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #58: input, references = 3, size of lhs = 1:
% 231.65/231.86 pppp14-{F}(V0) | relation_empty_yielding-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #59: input, references = 3, size of lhs = 1:
% 231.65/231.86 pppp14-{F}(V0) | relation-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #60: input, references = 4, size of lhs = 2:
% 231.65/231.86 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #61: input, references = 5, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), element-{F}(V1,V2), #-{F} V3 | EXISTS V4: pppp15-{T}(V3,V1,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #62: input, references = 8, size of lhs = 5:
% 231.65/231.86 pppp15-{F}(V0,V1,V2), P_relation_dom-{F}(V2,V3), P_apply-{F}(V2,V4,V5), in-{F}(V4,V0), V5 == V1 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #63: input, references = 4, size of lhs = 3:
% 231.65/231.86 pppp15-{F}(V0,V1,V2), P_relation_dom-{F}(V2,V3), V3 == V0 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #64: input, references = 4, size of lhs = 2:
% 231.65/231.86 pppp15-{F}(V0,V1,V2), P_relation_dom-{F}(V2,V3) | function-{T}(V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #65: input, references = 6, size of lhs = 2:
% 231.65/231.86 pppp15-{F}(V0,V1,V2), P_relation_dom-{F}(V2,V3) | relation-{T}(V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #66: input, references = 4, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #67: input, references = 5, size of lhs = 1:
% 231.65/231.86 pppp17-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V1,V2,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #68: input, references = 5, size of lhs = 6:
% 231.65/231.86 pppp16-{F}(V0,V4,V2), P_relation_dom-{F}(V3,V4), P_relation_rng-{F}(V3,V5), relation-{F}(V3), function-{F}(V3), subset-{F}(V5,V0) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #69: input, references = 4, size of lhs = 2:
% 231.65/231.86 pppp16-{F}(V2,V1,V2), V1 == V2 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #70: input, references = 20, size of lhs = 2:
% 231.65/231.86 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #71: input, references = 4, size of lhs = 2:
% 231.65/231.86 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #72: input, references = 3, size of lhs = 2:
% 231.65/231.86 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #73: input, references = 7, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #74: input, references = 3, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #75: input, references = 17, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #76: input, references = 13, size of lhs = 5:
% 231.65/231.86 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #77: input, references = 9, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #78: input, references = 11, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #79: input, references = 8, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #80: input, references = 5, size of lhs = 1:
% 231.65/231.86 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #81: input, references = 5, size of lhs = 1:
% 231.65/231.86 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #82: input, references = 14, size of lhs = 2:
% 231.65/231.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #83: input, references = 4, size of lhs = 0:
% 231.65/231.86 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #84: input, references = 3, size of lhs = 1:
% 231.65/231.86 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 number of initial rules = 85
% 231.65/231.86
% 231.65/231.86 Simplifiers:
% 231.65/231.86 #85: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #86: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #87: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #88: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #89: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #90: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #91: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #92: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #93: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #94: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #95: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #96: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #97: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #98: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #99: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #100: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #101: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #102: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #103: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #104: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V2), V1 == V4 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #105: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V2), V0 == V3 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #106: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V2 == V5 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #107: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #108: unsound, references = 3, size of lhs = 3:
% 231.65/231.86 pppp17-{F}(V0,V1), pppp17-{F}(V2,V3), V0 == V2 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 number of simplifiers = 24
% 231.65/231.86
% 231.65/231.86 Learnt:
% 231.65/231.86 #115: mergings( V0 == V2; #112 ), references = 1, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #117: mergings( V0 == V2; #113 ), references = 1, size of lhs = 2:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #124: mergings( V0 == V2; #121 ), references = 1, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #126: mergings( V0 == V2; #122 ), references = 1, size of lhs = 2:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #139: mergings( V2 == V3; #136 ), references = 1, size of lhs = 2:
% 231.65/231.86 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #141: mergings( V2 == V3; #137 ), references = 1, size of lhs = 3:
% 231.65/231.86 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #156: mergings( V2 == V3; #153 ), references = 1, size of lhs = 2:
% 231.65/231.86 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #158: mergings( V2 == V3; #154 ), references = 1, size of lhs = 3:
% 231.65/231.86 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #179: mergings( V0 == V3; #175 ), references = 13, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #182: mergings( V0 == V3, V2 == V3; #176 ), references = 1, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #184: mergings( V2 == V0; #177 ), references = 1, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), pppp13-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #192: disj( #14, input ), references = 1, size of lhs = 5:
% 231.65/231.86 relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp19-{T}(V0,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #201: disj( #6, #5+#78 ), references = 1, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp18-{T}(V3,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #202: disj( #6, #5+#76 ), references = 1, size of lhs = 5:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V5) | pppp18-{T}(V5,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #211: disj( #14, #13+#78 ), references = 1, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V3) | pppp19-{T}(V2,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #212: disj( #14, #13+#0 ), references = 1, size of lhs = 2:
% 231.65/231.86 pppp1-{F}(V0,V1), in-{F}(V2,V1) | pppp19-{T}(V0,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #213: disj( #14, #13+#76 ), references = 1, size of lhs = 5:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp1-{F}(V4,V5) | pppp19-{T}(V4,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #233: disj( #6, #5+#0 ), references = 2, size of lhs = 1:
% 231.65/231.86 in-{F}(V0,V1) | pppp18-{T}(V1,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #252: mergings( V2 == V3; #250 ), references = 10, size of lhs = 5:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #276: mergings( V0 == V4; #274 ), references = 1, size of lhs = 2:
% 231.65/231.86 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp12-{T}(V0,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #292: exists( #22, #290 ), references = 1, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp6-{T}(V2,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #303: exists( #81, #63 ), references = 4, size of lhs = 1:
% 231.65/231.86 pppp15-{F}(V0,V1,V2) | P_relation_dom-{T}(V2,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #320: mergings( V0 == V5, V5 == V6; #316 ), references = 1, size of lhs = 3:
% 231.65/231.86 empty-{F}(V0), P_empty_set-{F}(V1), element-{F}(V2,V3) | pppp15-{T}(V0,V2,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #323: mergings( V0 == V5, V5 == V6; #317 ), references = 1, size of lhs = 4:
% 231.65/231.86 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), element-{F}(V3,V4) | pppp15-{T}(V0,V3,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #347: disj( #14, #12+#13+#78 ), references = 1, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), in-{F}(V3,V4) | pppp19-{T}(V2,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #348: disj( #14, #12+#13+#0 ), references = 1, size of lhs = 3:
% 231.65/231.86 pppp2-{F}(V0,V1), in-{F}(V1,V2), in-{F}(V2,V3) | pppp19-{T}(V0,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #350: mergings( V5 == V2; #346 ), references = 1, size of lhs = 6:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp2-{F}(V3,V0), in-{F}(V4,V5) | pppp19-{T}(V3,V5)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #415: mergings( V2 == V3, V3 == V4; #410 ), references = 1, size of lhs = 9:
% 231.65/231.86 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V3,V4), P_relation_dom-{F}(V5,V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V8), P_apply-{F}(V5,V1,V9), pppp2-{F}(V5,V9) | pppp18-{T}(V4,V8)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #419: mergings( V2 == V3, V3 == V4, V4 == V5; #411 ), references = 1, size of lhs = 10:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), P_relation_dom-{F}(V2,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), in-{F}(V6,V7), in-{F}(V7,V8), in-{F}(V8,V9), P_apply-{F}(V2,V6,V10) | pppp18-{T}(V9,V5)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #424: mergings( V2 == V3, V3 == V4, V4 == V5, V8 == V5; #412 ), references = 1, size of lhs = 12:
% 231.65/231.86 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), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), in-{F}(V7,V8), in-{F}(V8,V9), in-{F}(V9,V10), P_apply-{F}(V3,V7,V11) | pppp18-{T}(V10,V6)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #448: mergings( V2 == V3, V3 == V4; #443 ), references = 1, size of lhs = 8:
% 231.65/231.86 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), P_relation_dom-{F}(V4,V5), V5 == V0, P_powerset-{F}(V5,V6), P_apply-{F}(V4,V1,V7), pppp2-{F}(V4,V7) | pppp18-{T}(V3,V6)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #452: mergings( V2 == V3, V3 == V4, V4 == V5; #444 ), references = 1, size of lhs = 9:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), P_relation_dom-{F}(V2,V3), V3 == V0, P_powerset-{F}(V3,V4), in-{F}(V5,V6), in-{F}(V6,V7), P_apply-{F}(V2,V5,V8) | pppp18-{T}(V7,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #457: mergings( V2 == V3, V3 == V4, V4 == V5, V8 == V5; #445 ), references = 1, size of lhs = 11:
% 231.65/231.86 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), V4 == V0, P_powerset-{F}(V4,V5), in-{F}(V6,V7), in-{F}(V7,V8), P_apply-{F}(V3,V6,V9) | pppp18-{T}(V8,V5)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #486: mergings( V0 == V3; #482 ), references = 1, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp20-{T}(V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #489: mergings( V0 == V3, V1 == V3; #483 ), references = 1, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp20-{T}(V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #493: mergings( V0 == V3, V2 == V4, V1 == V3; #484 ), references = 1, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp20-{T}(V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #512: disj( #14, #13+#0 ), references = 1, size of lhs = 1:
% 231.65/231.86 pppp1-{F}(V0,V1) | pppp19-{T}(V0,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #536: disj( #14, #12+#13+#0 ), references = 1, size of lhs = 2:
% 231.65/231.86 pppp2-{F}(V0,V1), in-{F}(V1,V2) | pppp19-{T}(V0,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #572: disj( #17, #13+#78 ), references = 5, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), pppp4-{F}(V2,V3,V4) | in-{T}(V4,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #574: mergings( V6 == V3; #570 ), references = 1, size of lhs = 6:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp2-{F}(V3,V0), pppp4-{F}(V3,V4,V5) | in-{T}(V5,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #575: disj( #17, #13+#62 ), references = 12, size of lhs = 6:
% 231.65/231.86 pppp2-{F}(V0,V1), pppp4-{F}(V0,V2,V3), pppp15-{F}(V1,V4,V5), P_relation_dom-{F}(V5,V6), P_apply-{F}(V5,V3,V7), V7 == V4 | in-{T}(V3,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #603: exists( #82, #62 ), references = 1, size of lhs = 3:
% 231.65/231.86 in-{F}(V0,V1), pppp15-{F}(V1,V2,V3), P_relation_dom-{F}(V3,V4) | P_apply-{T}(V3,V0,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #644: mergings( V3 == V4; #642 ), references = 2, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp18-{F}(V2,V3) | pppp3-{T}(V2,V3,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #681: mergings( V3 == V4; #679 ), references = 1, size of lhs = 6:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp2-{F}(V3,V2), P_relation_dom-{F}(V3,V4), in-{F}(V5,V4) | P_apply-{T}(V3,V5,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #699: exists( #82, #20 ), references = 4, size of lhs = 1:
% 231.65/231.86 pppp5-{F}(V0,V1,V2,V3) | P_apply-{T}(V0,V2,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #705: mergings( V4 == V5; #703 ), references = 10, size of lhs = 5:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp1-{F}(V3,V4) | pppp5-{T}(V3,V4,V0,V2)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #726: exists( #82, #722 ), references = 2, size of lhs = 5:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), P_relation_dom-{F}(V2,V3), in-{F}(V4,V3) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #728: mergings( V6 == V3; #725 ), references = 1, size of lhs = 7:
% 231.65/231.86 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
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #731: disj( #14, exists( #82, #722 ) ), references = 1, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V3), in-{F}(V4,V3) | pppp19-{T}(V2,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #733: mergings( V1 == V2; #730 ), references = 1, size of lhs = 6:
% 231.65/231.86 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)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #746: disj( #6, #5+#12+#705+#20 ), references = 1, size of lhs = 8:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp2-{F}(V3,V4), P_apply-{F}(V3,V0,V5), in-{F}(V6,V7), V6 == V5 | pppp18-{T}(V7,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #790: disj( #6, #644+#8 ), references = 1, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3) | pppp0-{T}(V2,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #855: mergings( V2 == V3, V3 == V4; #851 ), references = 1, size of lhs = 6:
% 231.65/231.86 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)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #867: exists( #7, #865 ), references = 4, size of lhs = 7:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp2-{F}(V3,V4), pppp18-{F}(V4,V5), P_apply-{F}(V3,V0,V6) | pppp3-{T}(V4,V5,V6)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #900: disj( #14, #867+#8 ), references = 1, size of lhs = 7:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V0,V4), in-{F}(V4,V5), pppp18-{F}(V6,V5) | pppp19-{T}(V3,V6)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #901: disj( #14, #12+#16 ), references = 1, size of lhs = 3:
% 231.65/231.86 in-{F}(V0,V1), in-{F}(V0,V2), pppp4-{F}(V3,V2,V0) | pppp19-{T}(V3,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #918: disj( #6, #867+#8 ), references = 1, size of lhs = 7:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp2-{F}(V3,V4), P_apply-{F}(V3,V0,V5), in-{F}(V5,V6) | pppp0-{T}(V4,V6)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #959: exists( #18, #957 ), references = 1, size of lhs = 8:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp2-{F}(V3,V4), P_relation_dom-{F}(V5,V4), pppp1-{F}(V5,V6), P_apply-{F}(V3,V0,V7) | pppp5-{T}(V5,V6,V7,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1017: exists( #82, #1012 ), references = 1, size of lhs = 6:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V3), pppp4-{F}(V2,V1,V4), pppp15-{F}(V3,V5,V6), P_relation_dom-{F}(V6,V7) | P_apply-{T}(V6,V4,V5)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1018: exists( #82, #1013 ), references = 1, size of lhs = 8:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), P_relation_dom-{F}(V2,V3), pppp2-{F}(V4,V5), pppp4-{F}(V4,V3,V6), pppp15-{F}(V5,V7,V8), P_relation_dom-{F}(V8,V9) | P_apply-{T}(V8,V6,V7)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1019: exists( #82, #1011 ), references = 1, size of lhs = 5:
% 231.65/231.86 pppp2-{F}(V0,V1), pppp4-{F}(V0,V2,V3), in-{F}(V2,V3), pppp15-{F}(V1,V4,V5), P_relation_dom-{F}(V5,V6) | P_apply-{T}(V5,V3,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1066: mergings( V3 == V4, V4 == V5; #1062 ), references = 1, size of lhs = 10:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp2-{F}(V4,V5), pppp4-{F}(V4,V3,V6), in-{F}(V7,V6), in-{F}(V8,V7), pppp15-{F}(V5,V9,V10), P_relation_dom-{F}(V10,V11) | P_apply-{T}(V10,V6,V9)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1069: mergings( V3 == V4, V4 == V5; #1063 ), references = 1, size of lhs = 10:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp2-{F}(V4,V5), pppp4-{F}(V4,V3,V6), in-{F}(V7,V6), V7 == V0, pppp15-{F}(V5,V8,V9), P_relation_dom-{F}(V9,V10) | P_apply-{T}(V9,V6,V8)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1136: mergings( V3 == V4, V4 == V5; #1132 ), references = 1, size of lhs = 9:
% 231.65/231.86 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp15-{F}(V2,V3,V4), P_relation_dom-{F}(V4,V5), P_powerset-{F}(V6,V7), V6 == V0, pppp4-{F}(V1,V7,V8), in-{F}(V9,V8), pppp3-{F}(V10,V6,V9) | P_apply-{T}(V4,V8,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1139: mergings( V3 == V4, V4 == V5; #1133 ), references = 1, size of lhs = 12:
% 231.65/231.86 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp15-{F}(V2,V3,V4), P_relation_dom-{F}(V4,V5), P_powerset-{F}(V6,V7), V6 == V0, pppp4-{F}(V1,V7,V8), in-{F}(V9,V8), pppp15-{F}(V6,V10,V11), P_relation_dom-{F}(V11,V12), P_apply-{F}(V11,V9,V13), V13 == V10 | P_apply-{T}(V4,V8,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1204: mergings( V3 == V5, V5 == V6; #1201 ), references = 1, size of lhs = 7:
% 231.65/231.86 empty-{F}(V0), pppp2-{F}(V1,V0), pppp19-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), pppp0-{F}(V2,V5) | pppp4-{T}(V1,V2,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1307: mergings( V2 == V3, V3 == V4; #1304 ), references = 1, size of lhs = 6:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0 | pppp6-{T}(V4,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1423: mergings( V2 == V3; #1421 ), references = 1, size of lhs = 7:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp2-{F}(V3,V4), V4 == V0, P_apply-{F}(V3,V0,V5) | pppp6-{T}(V4,V5)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1511: exists( #82, #1509 ), references = 1, size of lhs = 8:
% 231.65/231.86 pppp2-{F}(V0,V1), pppp4-{F}(V0,V2,V3), pppp15-{F}(V1,V4,V5), P_relation_dom-{F}(V5,V6), pppp15-{F}(V2,V7,V8), P_relation_dom-{F}(V8,V9), P_apply-{F}(V8,V3,V10), V10 == V7 | P_apply-{T}(V5,V3,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1531: disj( #6, #5+#5+#0 ), references = 1, size of lhs = 3:
% 231.65/231.86 pppp0-{F}(V0,V1), in-{F}(V1,V2), in-{F}(V2,V3) | pppp18-{T}(V3,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1533: mergings( V2 == V3; #1529 ), references = 1, size of lhs = 7:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V5,V6), in-{F}(V6,V7) | pppp18-{T}(V7,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1535: mergings( V2 == V3; #1530 ), references = 1, size of lhs = 7:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V5,V6), V5 == V0 | pppp18-{T}(V6,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1630: mergings( V3 == V5; #1628 ), references = 1, size of lhs = 9:
% 231.65/231.86 empty-{F}(V0), pppp2-{F}(V1,V0), pppp19-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_relation_dom-{F}(V6,V5), pppp2-{F}(V6,V2), P_apply-{F}(V6,V3,V7) | pppp4-{T}(V1,V2,V7)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1691: mergings( V3 == V4; #1688 ), references = 1, size of lhs = 8:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp2-{F}(V3,V4), pppp4-{F}(V3,V2,V5), V5 == V0, pppp15-{F}(V4,V6,V7), P_relation_dom-{F}(V7,V8) | P_apply-{T}(V7,V5,V6)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1798: mergings( V3 == V5; #1796 ), references = 1, size of lhs = 10:
% 231.65/231.86 empty-{F}(V0), pppp2-{F}(V1,V0), pppp19-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5), P_relation_dom-{F}(V6,V5), pppp2-{F}(V6,V7), pppp0-{F}(V2,V7), P_apply-{F}(V6,V3,V8) | pppp4-{T}(V1,V2,V8)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1830: exists( #82, #1826 ), references = 1, size of lhs = 5:
% 231.65/231.86 pppp2-{F}(V0,V1), pppp4-{F}(V0,V2,V3), pppp0-{F}(V2,V3), pppp15-{F}(V1,V4,V5), P_relation_dom-{F}(V5,V6) | P_apply-{T}(V5,V3,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1831: exists( #82, #1827 ), references = 1, size of lhs = 11:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp2-{F}(V3,V4), P_apply-{F}(V3,V0,V5), in-{F}(V5,V6), pppp4-{F}(V7,V4,V6), pppp2-{F}(V7,V8), pppp15-{F}(V8,V9,V10), P_relation_dom-{F}(V10,V11) | P_apply-{T}(V10,V6,V9)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #1901: mergings( V2 == V3; #1899 ), references = 1, size of lhs = 8:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), pppp2-{F}(V3,V4), P_apply-{F}(V3,V0,V5), pppp0-{F}(V6,V4), V6 == V0 | pppp6-{T}(V6,V5)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2016: disj( #6, #5+#8 ), references = 1, size of lhs = 2:
% 231.65/231.86 in-{F}(V0,V1), pppp3-{F}(V2,V3,V0) | pppp18-{T}(V1,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2019: disj( #17, input ), references = 1, size of lhs = 2:
% 231.65/231.86 in-{F}(V0,V1), pppp4-{F}(V2,V0,V1) | pppp1-{T}(V2,V1)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2020: disj( #17, input ), references = 4, size of lhs = 5:
% 231.65/231.86 P_relation_dom-{F}(V0,V1), pppp15-{F}(V2,V3,V0), pppp4-{F}(V4,V2,V5), P_apply-{F}(V0,V5,V6), V6 == V3 | pppp1-{T}(V4,V5)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2119: exists( #82, #2115 ), references = 2, size of lhs = 9:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V0,V4), pppp4-{F}(V3,V5,V6), V6 == V4, pppp15-{F}(V5,V7,V8), P_relation_dom-{F}(V8,V9) | P_apply-{T}(V8,V6,V7)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2120: exists( #82, #2116 ), references = 1, size of lhs = 5:
% 231.65/231.86 pppp2-{F}(V0,V1), pppp4-{F}(V0,V2,V3), pppp3-{F}(V4,V1,V3), pppp15-{F}(V2,V5,V6), P_relation_dom-{F}(V6,V7) | P_apply-{T}(V6,V3,V5)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2129: mergings( V5 == V9, V13 == V15, V3 == V7, V6 == V10; #2124 ), references = 1, size of lhs = 12:
% 231.65/231.86 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V1), P_relation_dom-{F}(V4,V1), pppp19-{F}(V4,V5), P_apply-{F}(V4,V2,V6), pppp15-{F}(V5,V7,V8), pppp15-{F}(V5,V9,V8), V7 == V9, P_relation_dom-{F}(V8,V10) | pppp4-{T}(V4,V5,V6)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2208: exists( #7, #2206 ), references = 2, size of lhs = 2:
% 231.65/231.86 pppp18-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2257: mergings( V1 == V4; #2255 ), references = 5, size of lhs = 4:
% 231.65/231.86 pppp1-{F}(V0,V1), P_relation_dom-{F}(V0,V2), pppp15-{F}(V2,V3,V0), V1 == V3 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2276: mergings( V2 == V3; #2274 ), references = 1, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp18-{F}(V1,V3), P_powerset-{F}(V3,V4) | pppp18-{T}(V2,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2318: exists( #22, #2316 ), references = 1, size of lhs = 5:
% 231.65/231.86 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V2 == V0, P_relation_dom-{F}(V1,V3), pppp15-{F}(V3,V4,V1) | pppp6-{T}(V2,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2348: disj( #6, #5+#12+#2257 ), references = 1, size of lhs = 5:
% 231.65/231.86 in-{F}(V0,V1), pppp2-{F}(V2,V3), P_relation_dom-{F}(V2,V4), pppp15-{F}(V4,V5,V2), V0 == V5 | pppp18-{T}(V1,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2383: disj( #14, #13+#8 ), references = 1, size of lhs = 2:
% 231.65/231.86 pppp1-{F}(V0,V1), pppp3-{F}(V2,V3,V1) | pppp19-{T}(V0,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2418: exists( #15, #2416 ), references = 1, size of lhs = 7:
% 231.65/231.86 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), pppp19-{F}(V2,V3), pppp2-{F}(V4,V3), P_relation_dom-{F}(V4,V5), pppp15-{F}(V5,V6,V4) | pppp4-{T}(V2,V3,V6)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2463: exists( #7, #2461 ), references = 2, size of lhs = 4:
% 231.65/231.86 pppp18-{F}(V0,V1), pppp2-{F}(V2,V0), P_relation_dom-{F}(V2,V3), pppp15-{F}(V3,V4,V2) | pppp3-{T}(V0,V1,V4)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2491: disj( #6, #4+#68 ), references = 1, size of lhs = 5:
% 231.65/231.86 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp16-{F}(V3,V1,V4) | pppp18-{T}(V2,V3)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2497: mergings( V2 == V3; #2495 ), references = 2, size of lhs = 6:
% 231.65/231.86 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), pppp15-{F}(V1,V2,V0), in-{F}(V2,V3), pppp16-{F}(V3,V1,V4) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2512: exists( #61, #2510 ), references = 1, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), element-{F}(V1,V2), in-{F}(V1,V3), pppp16-{F}(V3,V4,V5) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2514: exists( #67, #2511 ), references = 2, size of lhs = 4:
% 231.65/231.86 P_empty_set-{F}(V0), pppp17-{F}(V1,V2), in-{F}(V3,V2), element-{F}(V3,V4) | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2519: mergings( V2 == V3; #2517 ), references = 1, size of lhs = 3:
% 231.65/231.86 P_empty_set-{F}(V0), pppp17-{F}(V1,V2), V2 == V0 | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2523: mergings( V0 == V2, V2 == V3; #2520 ), references = 1, size of lhs = 1:
% 231.65/231.86 P_empty_set-{F}(V0) | pppp17-{T}(V0,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2535: exists( #67, #69 ), references = 1, size of lhs = 1:
% 231.65/231.86 pppp17-{F}(V0,V0) | pppp16-{T}(V0,V0,V0)
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 #2545: exists( #83, #2543 ), references = 1, size of lhs = 0:
% 231.65/231.86 FALSE | FALSE
% 231.65/231.86 (used 0 times, uses = {})
% 231.65/231.86
% 231.65/231.86 number of learnt formulas = 100
% 231.65/231.86
% 231.65/231.86
% 231.65/231.86 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 231.65/231.86
% 231.65/231.86 randbase = 1
%------------------------------------------------------------------------------