TSTP Solution File: SET988+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:17:02 EDT 2022
% Result : Theorem 26.12s 26.30s
% Output : Refutation 26.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 02:14:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 26.12/26.30 GeoParameters:
% 26.12/26.30
% 26.12/26.30 tptp_input = 1
% 26.12/26.30 tptp_output = 0
% 26.12/26.30 nonempty = 1
% 26.12/26.30 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.12/26.30 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 26.12/26.30
% 26.12/26.30
% 26.12/26.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.12/26.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.12/26.30
% 26.12/26.30 RuleSystem INPUT:
% 26.12/26.30
% 26.12/26.30 Initial Rules:
% 26.12/26.30 #0: input, references = 3, size of lhs = 1:
% 26.12/26.30 #-{F} V0 | subset-{T}(V0,V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #1: input, references = 3, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | empty-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #2: input, references = 3, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | relation-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #3: input, references = 3, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | empty-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #4: input, references = 3, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | relation-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #5: input, references = 3, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #6: input, references = 3, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | empty-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #7: input, references = 4, size of lhs = 4:
% 26.12/26.30 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), P_unordered_pair-{F}(V2,V1,V4), V3 == V4 | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #8: input, references = 6, size of lhs = 2:
% 26.12/26.30 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V1,V2)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #9: input, references = 6, size of lhs = 1:
% 26.12/26.30 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #10: input, references = 3, size of lhs = 2:
% 26.12/26.30 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #11: input, references = 3, size of lhs = 3:
% 26.12/26.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #12: input, references = 3, size of lhs = 3:
% 26.12/26.30 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), empty-{F}(V2) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #13: input, references = 3, size of lhs = 3:
% 26.12/26.30 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #14: input, references = 3, size of lhs = 2:
% 26.12/26.30 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #15: input, references = 4, size of lhs = 2:
% 26.12/26.30 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #16: input, references = 3, size of lhs = 3:
% 26.12/26.30 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #17: input, references = 3, size of lhs = 3:
% 26.12/26.30 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #18: input, references = 11, size of lhs = 4:
% 26.12/26.30 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #19: input, references = 4, size of lhs = 5:
% 26.12/26.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #20: input, references = 6, size of lhs = 3:
% 26.12/26.30 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #21: input, references = 5, size of lhs = 4:
% 26.12/26.30 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #22: input, references = 4, size of lhs = 3:
% 26.12/26.30 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #23: input, references = 3, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #24: input, references = 3, size of lhs = 1:
% 26.12/26.30 pppp3-{F}(V0) | function-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #25: input, references = 3, size of lhs = 1:
% 26.12/26.30 pppp3-{F}(V0) | relation-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #26: input, references = 4, size of lhs = 2:
% 26.12/26.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp20-{T}(V2)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #27: input, references = 3, size of lhs = 1:
% 26.12/26.30 pppp20-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #28: input, references = 3, size of lhs = 2:
% 26.12/26.30 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #29: input, references = 3, size of lhs = 1:
% 26.12/26.30 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #30: input, references = 4, size of lhs = 2:
% 26.12/26.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp5-{T}(V3,V2)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #31: input, references = 4, size of lhs = 1:
% 26.12/26.30 pppp5-{F}(V0,V1) | empty-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #32: input, references = 3, size of lhs = 1:
% 26.12/26.30 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #33: input, references = 4, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #34: input, references = 3, size of lhs = 1:
% 26.12/26.30 pppp6-{F}(V0) | relation-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #35: input, references = 5, size of lhs = 1:
% 26.12/26.30 pppp6-{F}(V0) | empty-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #36: input, references = 3, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #37: input, references = 3, size of lhs = 1:
% 26.12/26.30 pppp7-{F}(V0) | relation-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #38: input, references = 3, size of lhs = 2:
% 26.12/26.30 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #39: input, references = 3, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #40: input, references = 3, size of lhs = 1:
% 26.12/26.30 pppp8-{F}(V0) | relation_empty_yielding-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #41: input, references = 3, size of lhs = 1:
% 26.12/26.30 pppp8-{F}(V0) | relation-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #42: input, references = 5, size of lhs = 3:
% 26.12/26.30 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #43: input, references = 4, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #44: input, references = 5, size of lhs = 1:
% 26.12/26.30 pppp9-{F}(V0) | empty-{T}(V0)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #45: input, references = 3, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #46: input, references = 3, size of lhs = 2:
% 26.12/26.30 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #47: input, references = 8, size of lhs = 2:
% 26.12/26.30 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #48: input, references = 3, size of lhs = 3:
% 26.12/26.30 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #49: input, references = 6, size of lhs = 6:
% 26.12/26.30 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), P_unordered_pair-{F}(V1,V2,V4), P_singleton-{F}(V1,V5), P_unordered_pair-{F}(V4,V5,V6), V3 == V6 | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #50: input, references = 4, size of lhs = 1:
% 26.12/26.30 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #51: input, references = 5, size of lhs = 3:
% 26.12/26.30 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0) | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #52: input, references = 6, size of lhs = 6:
% 26.12/26.30 pppp13-{F}(V0), P_ordered_pair-{F}(V3,V1,V4), P_ordered_pair-{F}(V3,V2,V5), in-{F}(V4,V0), in-{F}(V5,V0), V1 == V2 | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #53: input, references = 5, size of lhs = 2:
% 26.12/26.30 pppp13-{F}(V0), in-{F}(V1,V0) | EXISTS V2: pppp12-{T}(V1,V2)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #54: input, references = 6, size of lhs = 1:
% 26.12/26.30 pppp12-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #55: input, references = 4, size of lhs = 3:
% 26.12/26.30 pppp11-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), V3 == V0 | FALSE
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.30
% 26.12/26.30 #56: input, references = 3, size of lhs = 2:
% 26.12/26.30 P_empty_set-{F}(V0), function-{F}(V1) | pppp0-{T}(V1)
% 26.12/26.30 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #57: input, references = 6, size of lhs = 2:
% 26.12/26.31 P_empty_set-{F}(V0), pppp0-{F}(V1) | function-{T}(V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #58: input, references = 5, size of lhs = 7:
% 26.12/26.31 P_empty_set-{F}(V0), pppp0-{F}(V1), P_ordered_pair-{F}(V4,V2,V5), P_ordered_pair-{F}(V4,V3,V6), in-{F}(V5,V1), in-{F}(V6,V1), V2 == V3 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #59: input, references = 7, size of lhs = 2:
% 26.12/26.31 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp21-{T}(V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #60: input, references = 4, size of lhs = 1:
% 26.12/26.31 pppp21-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #61: input, references = 4, size of lhs = 1:
% 26.12/26.31 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V1,V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #62: input, references = 4, size of lhs = 1:
% 26.12/26.31 pppp15-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V3,V1,V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #63: input, references = 4, size of lhs = 1:
% 26.12/26.31 pppp15-{F}(V0,V2,V2) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #64: input, references = 6, size of lhs = 3:
% 26.12/26.31 pppp14-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), P_ordered_pair-{F}(V1,V3,V5) | in-{T}(V5,V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #65: input, references = 7, size of lhs = 3:
% 26.12/26.31 pppp14-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), P_ordered_pair-{F}(V1,V3,V5) | in-{T}(V4,V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #66: input, references = 3, size of lhs = 2:
% 26.12/26.31 P_empty_set-{F}(V0), relation-{F}(V1) | pppp1-{T}(V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #67: input, references = 4, size of lhs = 2:
% 26.12/26.31 P_empty_set-{F}(V0), pppp1-{F}(V1) | relation-{T}(V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #68: input, references = 5, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1) | EXISTS V3: pppp18-{T}(V2,V3)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #69: input, references = 5, size of lhs = 2:
% 26.12/26.31 P_empty_set-{F}(V0), #-{F} V1 | pppp1-{T}(V1), pppp22-{T}(V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #70: input, references = 6, size of lhs = 1:
% 26.12/26.31 pppp22-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #71: input, references = 5, size of lhs = 2:
% 26.12/26.31 pppp19-{F}(V0,V4), P_ordered_pair-{F}(V2,V3,V4) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #72: input, references = 6, size of lhs = 1:
% 26.12/26.31 pppp19-{F}(V0,V1) | in-{T}(V1,V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #73: input, references = 6, size of lhs = 1:
% 26.12/26.31 pppp18-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #74: input, references = 4, size of lhs = 3:
% 26.12/26.31 pppp17-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), V0 == V3 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #75: input, references = 4, size of lhs = 0:
% 26.12/26.31 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #76: input, references = 8, size of lhs = 2:
% 26.12/26.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #77: input, references = 3, size of lhs = 1:
% 26.12/26.31 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #78: input, references = 4, size of lhs = 1:
% 26.12/26.31 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #79: input, references = 10, size of lhs = 2:
% 26.12/26.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 number of initial rules = 80
% 26.12/26.31
% 26.12/26.31 Simplifiers:
% 26.12/26.31 #80: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #81: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #82: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #83: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #84: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #85: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #86: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #87: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #88: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #89: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #90: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #91: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #92: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #93: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #94: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #95: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V5), V1 == V4 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #96: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #97: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #98: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #99: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V2,V7), V3 == V7 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #100: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #101: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #102: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V1 == V4 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #103: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #104: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #105: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V4,V5), V1 == V4 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #106: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #107: unsound, references = 3, size of lhs = 3:
% 26.12/26.31 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 number of simplifiers = 28
% 26.12/26.31
% 26.12/26.31 Learnt:
% 26.12/26.31 #114: mergings( V0 == V2; #111 ), references = 1, size of lhs = 1:
% 26.12/26.31 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #116: mergings( V0 == V2; #112 ), references = 1, size of lhs = 2:
% 26.12/26.31 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #118: exists( #79, #49 ), references = 4, size of lhs = 4:
% 26.12/26.31 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V4), P_unordered_pair-{F}(V4,V2,V5) | P_ordered_pair-{T}(V1,V3,V5)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #120: exists( #76, #7 ), references = 6, size of lhs = 2:
% 26.12/26.31 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3) | P_unordered_pair-{T}(V2,V1,V3)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #125: mergings( V0 == V3; #121 ), references = 1, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #127: mergings( V0 == V3; #122 ), references = 8, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #130: mergings( V0 == V3, V2 == V3; #123 ), references = 1, size of lhs = 4:
% 26.12/26.31 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #139: mergings( V3 == V4; #137 ), references = 3, size of lhs = 4:
% 26.12/26.31 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_ordered_pair-{F}(V1,V3,V4), P_unordered_pair-{F}(V1,V3,V5) | P_unordered_pair-{T}(V2,V5,V4)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #146: mergings( V0 == V2; #143 ), references = 1, size of lhs = 1:
% 26.12/26.31 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #148: mergings( V0 == V2; #144 ), references = 1, size of lhs = 2:
% 26.12/26.31 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #154: mergings( V0 == V2; #152 ), references = 1, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), pppp13-{F}(V1), relation-{F}(V1) | pppp21-{T}(V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #163: mergings( V0 == V3; #159 ), references = 1, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp20-{T}(V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #166: mergings( V0 == V3, V1 == V3; #160 ), references = 1, size of lhs = 4:
% 26.12/26.31 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp20-{T}(V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #169: mergings( V0 == V3, V1 == V3; #161 ), references = 1, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), P_singleton-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp20-{T}(V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #175: mergings( V0 == V3, V3 == V4; #172 ), references = 4, size of lhs = 5:
% 26.12/26.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #191: mergings( V0 == V4; #189 ), references = 1, size of lhs = 2:
% 26.12/26.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp5-{T}(V0,V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #196: mergings( V0 == V3; #194 ), references = 1, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp2-{T}(V2,V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #201: mergings( V0 == V2; #199 ), references = 1, size of lhs = 6:
% 26.12/26.31 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V4,V5,V1), P_ordered_pair-{F}(V4,V6,V3), V5 == V6 | pppp21-{T}(V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #231: exists( #79, #55 ), references = 4, size of lhs = 1:
% 26.12/26.31 pppp11-{F}(V0,V1,V2) | P_ordered_pair-{T}(V1,V2,V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #234: exists( #54, #232 ), references = 1, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), empty-{F}(V1), pppp12-{F}(V1,V2) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #236: exists( #53, #233 ), references = 3, size of lhs = 4:
% 26.12/26.31 pppp13-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V2,V0) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #342: exists( #79, #74 ), references = 5, size of lhs = 1:
% 26.12/26.31 pppp17-{F}(V0,V1,V2) | P_ordered_pair-{T}(V1,V2,V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #369: exists( #73, #367 ), references = 1, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), empty-{F}(V1), pppp18-{F}(V1,V2) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #372: mergings( V0 == V4; #370 ), references = 3, size of lhs = 4:
% 26.12/26.31 pppp1-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), in-{F}(V2,V0) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #408: mergings( V0 == V2; #406 ), references = 1, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V1,V2) | pppp22-{T}(V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #435: mergings( V2 == V3; #433 ), references = 1, size of lhs = 4:
% 26.12/26.31 pppp22-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V0) | pppp19-{T}(V0,V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #512: exists( #73, #510 ), references = 2, size of lhs = 2:
% 26.12/26.31 pppp19-{F}(V0,V1), pppp18-{F}(V1,V2) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #606: mergings( V0 == V3, V3 == V4, V4 == V5; #602 ), references = 1, size of lhs = 6:
% 26.12/26.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0 | pppp2-{T}(V4,V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #726: mergings( V3 == V4, V4 == V5, V5 == V8; #721 ), references = 1, size of lhs = 8:
% 26.12/26.31 pppp1-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), V0 == V2, empty-{F}(V3), in-{F}(V3,V4), P_ordered_pair-{F}(V5,V6,V4), pppp14-{F}(V1,V5,V7,V6) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #730: mergings( V3 == V4, V4 == V5, V5 == V8; #722 ), references = 1, size of lhs = 8:
% 26.12/26.31 pppp13-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), V0 == V2, empty-{F}(V3), in-{F}(V3,V4), P_ordered_pair-{F}(V5,V6,V4), pppp14-{F}(V1,V5,V7,V6) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #964: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V13; #955 ), references = 1, size of lhs = 14:
% 26.12/26.31 pppp1-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), V0 == V3, empty-{F}(V4), in-{F}(V4,V5), in-{F}(V5,V6), P_singleton-{F}(V7,V8), P_singleton-{F}(V9,V8), P_ordered_pair-{F}(V9,V10,V6), pppp14-{F}(V2,V9,V10,V11), P_unordered_pair-{F}(V9,V11,V12), P_unordered_pair-{F}(V7,V13,V12) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #972: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V13; #956 ), references = 1, size of lhs = 14:
% 26.12/26.31 pppp13-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), V0 == V3, empty-{F}(V4), in-{F}(V4,V5), in-{F}(V5,V6), P_singleton-{F}(V7,V8), P_singleton-{F}(V9,V8), P_ordered_pair-{F}(V9,V10,V6), pppp14-{F}(V2,V9,V10,V11), P_unordered_pair-{F}(V9,V11,V12), P_unordered_pair-{F}(V7,V13,V12) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #986: exists( #76, #49 ), references = 2, size of lhs = 4:
% 26.12/26.31 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_ordered_pair-{F}(V1,V3,V4), P_unordered_pair-{F}(V1,V3,V5) | P_unordered_pair-{T}(V5,V2,V4)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1034: exists( #79, #1029 ), references = 1, size of lhs = 4:
% 26.12/26.31 P_empty_set-{F}(V0), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V4,V2), pppp14-{F}(V1,V3,V4,V5) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1037: mergings( V4 == V8, V5 == V7; #1033 ), references = 2, size of lhs = 5:
% 26.12/26.31 pppp13-{F}(V0), pppp14-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), P_ordered_pair-{F}(V1,V5,V4), V3 == V5 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1050: mergings( V3 == V4; #1048 ), references = 1, size of lhs = 8:
% 26.12/26.31 P_empty_set-{F}(V0), pppp13-{F}(V1), P_singleton-{F}(V2,V3), P_singleton-{F}(V4,V3), P_unordered_pair-{F}(V2,V5,V6), P_unordered_pair-{F}(V4,V7,V6), pppp14-{F}(V1,V4,V7,V8), V8 == V7 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1055: mergings( V3 == V4, V4 == V5; #1052 ), references = 1, size of lhs = 8:
% 26.12/26.31 P_empty_set-{F}(V0), pppp13-{F}(V1), P_singleton-{F}(V2,V3), P_singleton-{F}(V4,V3), P_unordered_pair-{F}(V5,V2,V6), P_unordered_pair-{F}(V4,V7,V6), pppp14-{F}(V1,V4,V7,V8), V8 == V7 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1061: mergings( V3 == V4, V4 == V5, V5 == V6; #1057 ), references = 1, size of lhs = 5:
% 26.12/26.31 P_empty_set-{F}(V0), pppp13-{F}(V1), P_singleton-{F}(V2,V3), pppp14-{F}(V1,V2,V4,V5), V5 == V4 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1066: mergings( V2 == V3, V3 == V4, V4 == V5; #1062 ), references = 1, size of lhs = 4:
% 26.12/26.31 P_empty_set-{F}(V0), pppp13-{F}(V1), pppp14-{F}(V1,V2,V3,V4), V4 == V3 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1071: mergings( V4 == V5, V5 == V6, V6 == V7; #1067 ), references = 1, size of lhs = 4:
% 26.12/26.31 P_empty_set-{F}(V0), pppp13-{F}(V1), pppp15-{F}(V1,V2,V3), V3 == V2 | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1076: mergings( V3 == V4, V4 == V5, V5 == V6; #1072 ), references = 1, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), pppp13-{F}(V1), pppp16-{F}(V1,V2) | pppp15-{T}(V1,V2,V2)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1082: mergings( V2 == V3, V3 == V4, V4 == V5; #1078 ), references = 1, size of lhs = 3:
% 26.12/26.31 pppp21-{F}(V0), pppp13-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1112: mergings( V0 == V2; #1110 ), references = 2, size of lhs = 3:
% 26.12/26.31 P_empty_set-{F}(V0), pppp13-{F}(V1), function-{F}(V1) | pppp22-{T}(V1)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1186: exists( #73, #1182 ), references = 1, size of lhs = 6:
% 26.12/26.31 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), pppp18-{F}(V2,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V4) | pppp17-{T}(V2,V3,V5)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1187: exists( #73, #1183 ), references = 1, size of lhs = 5:
% 26.12/26.31 pppp13-{F}(V0), in-{F}(V1,V0), pppp18-{F}(V1,V2), in-{F}(V3,V0), P_ordered_pair-{F}(V2,V4,V3) | pppp17-{T}(V1,V2,V4)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1300: exists( #54, #1296 ), references = 1, size of lhs = 5:
% 26.12/26.31 pppp13-{F}(V0), in-{F}(V1,V0), pppp12-{F}(V1,V2), in-{F}(V3,V0), P_ordered_pair-{F}(V2,V4,V3) | pppp11-{T}(V1,V2,V4)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1301: exists( #54, #1297 ), references = 1, size of lhs = 6:
% 26.12/26.31 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), pppp12-{F}(V2,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V4) | pppp11-{T}(V2,V3,V5)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1404: exists( #68, #512 ), references = 1, size of lhs = 4:
% 26.12/26.31 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1), pppp19-{F}(V3,V2) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1411: mergings( V2 == V3, V3 == V4; #1408 ), references = 1, size of lhs = 6:
% 26.12/26.31 pppp22-{F}(V0), P_empty_set-{F}(V1), pppp1-{F}(V2), V2 == V1, P_powerset-{F}(V2,V3), element-{F}(V0,V3) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1421: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1414 ), references = 1, size of lhs = 6:
% 26.12/26.31 pppp13-{F}(V0), P_empty_set-{F}(V1), pppp1-{F}(V2), V2 == V1, P_powerset-{F}(V2,V3), element-{F}(V0,V3) | pppp21-{T}(V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1436: mergings( V0 == V2; #1434 ), references = 1, size of lhs = 2:
% 26.12/26.31 pppp13-{F}(V0), P_empty_set-{F}(V1) | pppp0-{T}(V0)
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1590: exists( #54, #1588 ), references = 1, size of lhs = 2:
% 26.12/26.31 pppp19-{F}(V0,V1), pppp12-{F}(V1,V2) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1592: exists( #53, #1589 ), references = 1, size of lhs = 3:
% 26.12/26.31 pppp13-{F}(V0), in-{F}(V1,V0), pppp19-{F}(V2,V1) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1595: exists( #70, #1593 ), references = 1, size of lhs = 2:
% 26.12/26.31 pppp22-{F}(V0), pppp13-{F}(V0) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1604: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #1599 ), references = 1, size of lhs = 1:
% 26.12/26.31 P_empty_set-{F}(V0) | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 #1606: exists( #75, #1599 ), references = 1, size of lhs = 0:
% 26.12/26.31 FALSE | FALSE
% 26.12/26.31 (used 0 times, uses = {})
% 26.12/26.31
% 26.12/26.31 number of learnt formulas = 56
% 26.12/26.31
% 26.12/26.31
% 26.12/26.31 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.12/26.31
% 26.12/26.31 randbase = 1
%------------------------------------------------------------------------------