TSTP Solution File: SEU126+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:17:15 EDT 2022
% Result : Theorem 7.11s 7.27s
% Output : Refutation 7.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:18:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.11/7.27 GeoParameters:
% 7.11/7.27
% 7.11/7.27 tptp_input = 1
% 7.11/7.27 tptp_output = 0
% 7.11/7.27 nonempty = 1
% 7.11/7.27 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.11/7.27 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 7.11/7.27
% 7.11/7.27
% 7.11/7.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.11/7.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.11/7.27
% 7.11/7.27 RuleSystem INPUT:
% 7.11/7.27
% 7.11/7.27 Initial Rules:
% 7.11/7.27 #0: input, references = 5, size of lhs = 2:
% 7.11/7.27 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #1: input, references = 4, size of lhs = 3:
% 7.11/7.27 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #2: input, references = 4, size of lhs = 3:
% 7.11/7.27 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #3: input, references = 3, size of lhs = 1:
% 7.11/7.27 #-{F} V1 | pppp0-{T}(V1,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #4: input, references = 4, size of lhs = 2:
% 7.11/7.27 pppp0-{F}(V0,V1), V0 == V1 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #5: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #6: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp0-{F}(V0,V1) | subset-{T}(V1,V0)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #7: input, references = 4, size of lhs = 2:
% 7.11/7.27 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #8: input, references = 3, size of lhs = 1:
% 7.11/7.27 P_empty_set-{F}(V0) | pppp1-{T}(V0)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #9: input, references = 3, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), pppp1-{F}(V1), V1 == V0 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #10: input, references = 6, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1) | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #11: input, references = 4, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), #-{F} V1 | pppp1-{T}(V1), pppp17-{T}(V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #12: input, references = 4, size of lhs = 1:
% 7.11/7.27 pppp17-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #13: input, references = 5, size of lhs = 1:
% 7.11/7.27 pppp7-{F}(V0,V1) | in-{T}(V1,V0)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #14: input, references = 3, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V4) | pppp3-{T}(V1,V2,V4)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #15: input, references = 3, size of lhs = 4:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V4), pppp3-{F}(V1,V2,V3), V3 == V4 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #16: input, references = 3, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp2-{T}(V1,V2,V4)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #17: input, references = 6, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3), pppp2-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #18: input, references = 4, size of lhs = 4:
% 7.11/7.27 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp3-{T}(V1,V2,V3), pppp18-{T}(V1,V2,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #19: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V1,V2,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #20: input, references = 4, size of lhs = 3:
% 7.11/7.27 pppp8-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #21: input, references = 6, size of lhs = 1:
% 7.11/7.27 pppp8-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp2-{T}(V0,V1,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #22: input, references = 3, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3) | in-{T}(V3,V1), in-{T}(V3,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #23: input, references = 3, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), #-{F} V2, in-{F}(V3,V1) | pppp2-{T}(V1,V2,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #24: input, references = 3, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), #-{F} V1, in-{F}(V3,V2) | pppp2-{T}(V1,V2,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #25: input, references = 4, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp4-{T}(V1,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #26: input, references = 4, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), pppp4-{F}(V1,V2) | subset-{T}(V1,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #27: input, references = 9, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), in-{F}(V3,V1) | in-{T}(V3,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #28: input, references = 6, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp4-{T}(V1,V2), pppp19-{T}(V1,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #29: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp19-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V1,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #30: input, references = 3, size of lhs = 2:
% 7.11/7.27 pppp9-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #31: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp9-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #32: input, references = 5, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4) | pppp6-{T}(V1,V2,V4)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #33: input, references = 3, size of lhs = 4:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4), pppp6-{F}(V1,V2,V3), V3 == V4 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #34: input, references = 5, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), pppp6-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp5-{T}(V1,V2,V4)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #35: input, references = 3, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), pppp6-{F}(V1,V2,V3), pppp5-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #36: input, references = 4, size of lhs = 4:
% 7.11/7.27 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp6-{T}(V1,V2,V3), pppp20-{T}(V1,V2,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #37: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #38: input, references = 4, size of lhs = 3:
% 7.11/7.27 pppp10-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #39: input, references = 5, size of lhs = 1:
% 7.11/7.27 pppp10-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp5-{T}(V0,V1,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #40: input, references = 5, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3) | in-{T}(V3,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #41: input, references = 3, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #42: input, references = 3, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2) | pppp5-{T}(V1,V2,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #43: input, references = 3, size of lhs = 4:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), disjoint-{F}(V1,V2), V3 == V0 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #44: input, references = 3, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V0) | disjoint-{T}(V1,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #45: input, references = 3, size of lhs = 1:
% 7.11/7.27 P_empty_set-{F}(V0) | empty-{T}(V0)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #46: input, references = 3, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #47: input, references = 3, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #48: input, references = 4, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #49: input, references = 4, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #50: input, references = 4, size of lhs = 1:
% 7.11/7.27 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #51: input, references = 5, size of lhs = 1:
% 7.11/7.27 pppp11-{F}(V0) | empty-{T}(V0)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #52: input, references = 3, size of lhs = 1:
% 7.11/7.27 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #53: input, references = 3, size of lhs = 2:
% 7.11/7.27 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #54: input, references = 4, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #55: input, references = 3, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | disjoint-{T}(V2,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #56: input, references = 4, size of lhs = 1:
% 7.11/7.27 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #57: input, references = 5, size of lhs = 1:
% 7.11/7.27 pppp14-{F}(V0) | EXISTS V1: pppp13-{T}(V0,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #58: input, references = 5, size of lhs = 2:
% 7.11/7.27 pppp13-{F}(V0,V1), P_set_union2-{F}(V0,V1,V1) | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #59: input, references = 5, size of lhs = 2:
% 7.11/7.27 pppp13-{F}(V0,V1), P_set_union2-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #60: input, references = 4, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #61: input, references = 3, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V3,V1) | subset-{T}(V3,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #62: input, references = 3, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V0,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #63: input, references = 4, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | disjoint-{T}(V1,V2), pppp21-{T}(V1,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #64: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp21-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V1,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #65: input, references = 4, size of lhs = 4:
% 7.11/7.27 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2), disjoint-{F}(V1,V2) | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #66: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp15-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #67: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp15-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #68: input, references = 4, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), subset-{F}(V1,V0), V1 == V0 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #69: input, references = 4, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | disjoint-{T}(V1,V2), pppp22-{T}(V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #70: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp22-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #71: input, references = 3, size of lhs = 4:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), in-{F}(V4,V3), disjoint-{F}(V1,V2) | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #72: input, references = 3, size of lhs = 1:
% 7.11/7.27 pppp16-{F}(V0,V1) | in-{T}(V1,V0)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #73: input, references = 4, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #74: input, references = 6, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #75: input, references = 4, size of lhs = 2:
% 7.11/7.27 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3) | subset-{T}(V1,V3)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #76: input, references = 4, size of lhs = 4:
% 7.11/7.27 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #77: input, references = 4, size of lhs = 4:
% 7.11/7.27 P_empty_set-{F}(V0), subset-{F}(V2,V1), P_set_union2-{F}(V3,V2,V4), subset-{F}(V3,V1) | subset-{T}(V4,V1)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #78: input, references = 7, size of lhs = 2:
% 7.11/7.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #79: input, references = 6, size of lhs = 2:
% 7.11/7.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #80: input, references = 4, size of lhs = 0:
% 7.11/7.27 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 number of initial rules = 81
% 7.11/7.27
% 7.11/7.27 Simplifiers:
% 7.11/7.27 #81: unsound, references = 3, size of lhs = 3:
% 7.11/7.27 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #82: unsound, references = 3, size of lhs = 3:
% 7.11/7.27 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #83: unsound, references = 3, size of lhs = 3:
% 7.11/7.27 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #84: unsound, references = 3, size of lhs = 3:
% 7.11/7.27 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #85: unsound, references = 3, size of lhs = 3:
% 7.11/7.27 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #86: unsound, references = 3, size of lhs = 3:
% 7.11/7.27 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #87: unsound, references = 3, size of lhs = 3:
% 7.11/7.27 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #88: unsound, references = 3, size of lhs = 3:
% 7.11/7.27 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #89: unsound, references = 3, size of lhs = 3:
% 7.11/7.27 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 7.11/7.27 (used 0 times, uses = {})
% 7.11/7.27
% 7.11/7.27 #90: unsound, references = 3, size of lhs = 3:
% 7.11/7.28 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #91: unsound, references = 3, size of lhs = 3:
% 7.11/7.28 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #92: unsound, references = 3, size of lhs = 3:
% 7.11/7.28 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #93: unsound, references = 3, size of lhs = 3:
% 7.11/7.28 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #94: unsound, references = 3, size of lhs = 3:
% 7.11/7.28 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 number of simplifiers = 14
% 7.11/7.28
% 7.11/7.28 Learnt:
% 7.11/7.28 #96: exists( #78, #48 ), references = 1, size of lhs = 2:
% 7.11/7.28 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #98: exists( #79, #49 ), references = 1, size of lhs = 2:
% 7.11/7.28 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #104: mergings( V0 == V2; #101 ), references = 1, size of lhs = 1:
% 7.11/7.28 P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #106: mergings( V0 == V2; #102 ), references = 1, size of lhs = 2:
% 7.11/7.28 P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #109: mergings( V0 == V2; #107 ), references = 3, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), #-{F} V1, V1 == V0 | pppp17-{T}(V1)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #111: exists( #78, #1 ), references = 3, size of lhs = 1:
% 7.11/7.28 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #116: mergings( V0 == V3; #112 ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), V3 == V0 | pppp21-{T}(V1,V2)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #118: mergings( V0 == V3; #113 ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3) | pppp21-{T}(V2,V3)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #121: mergings( V0 == V3, V4 == V3; #114 ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), in-{F}(V1,V0), P_set_intersection2-{F}(V2,V3,V0) | pppp21-{T}(V2,V3)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #124: exists( #78, #60 ), references = 2, size of lhs = 2:
% 7.11/7.28 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #127: exists( #79, #2 ), references = 3, size of lhs = 1:
% 7.11/7.28 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #130: mergings( V0 == V4; #128 ), references = 1, size of lhs = 4:
% 7.11/7.28 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp20-{T}(V1,V2,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #137: mergings( V3 == V5, V0 == V4; #132 ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), V3 == V0 | pppp22-{T}(V3)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #140: mergings( V0 == V4, V3 == V4; #133 ), references = 1, size of lhs = 4:
% 7.11/7.28 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), P_set_intersection2-{F}(V2,V3,V0) | pppp22-{T}(V0)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #144: mergings( V5 == V3, V0 == V4, V3 == V4; #134 ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), in-{F}(V1,V0), P_set_intersection2-{F}(V2,V3,V0) | pppp22-{T}(V0)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #147: mergings( V0 == V4; #145 ), references = 1, size of lhs = 4:
% 7.11/7.28 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp18-{T}(V1,V2,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #175: mergings( V2 == V3, V3 == V4; #171 ), references = 2, size of lhs = 4:
% 7.11/7.28 pppp17-{F}(V0), P_empty_set-{F}(V1), pppp1-{F}(V2), pppp6-{F}(V2,V3,V0) | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #178: mergings( V2 == V3, V3 == V4; #172 ), references = 2, size of lhs = 4:
% 7.11/7.28 pppp17-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp6-{F}(V2,V3,V0) | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #193: mergings( V3 == V4, V4 == V5; #189 ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), pppp1-{F}(V1), #-{F} V2 | P_set_intersection2-{T}(V2,V1,V0)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #196: mergings( V3 == V4, V4 == V5; #190 ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | P_set_intersection2-{T}(V2,V1,V0)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #214: mergings( V0 == V3; #211 ), references = 1, size of lhs = 2:
% 7.11/7.28 P_empty_set-{F}(V0), in-{F}(V1,V2) | pppp19-{T}(V2,V1)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #216: mergings( V0 == V3; #212 ), references = 1, size of lhs = 4:
% 7.11/7.28 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp5-{F}(V3,V4,V1), pppp10-{F}(V3,V4,V5,V1) | pppp19-{T}(V2,V5)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #223: disj( #39, input ), references = 1, size of lhs = 1:
% 7.11/7.28 pppp10-{F}(V0,V1,V2,V2) | pppp5-{T}(V0,V1,V2)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #260: mergings( V0 == V3, V3 == V2; #255 ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), #-{F} V1, V1 == V0 | pppp19-{T}(V1,V0)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #263: mergings( V0 == V3, V3 == V4; #256 ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V3) | pppp19-{T}(V3,V1)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #266: mergings( V0 == V3, V3 == V4; #257 ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp19-{T}(V3,V1)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #282: disj( #21, input ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp8-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #283: disj( #21, input ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), empty-{F}(V1), pppp8-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #284: disj( #21, input ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp8-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #322: disj( #39, input ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp10-{F}(V2,V3,V1,V4) | pppp5-{T}(V2,V3,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #323: disj( #39, input ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), empty-{F}(V1), pppp10-{F}(V2,V3,V1,V4) | pppp5-{T}(V2,V3,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #324: disj( #39, input ), references = 1, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp10-{F}(V2,V3,V1,V4) | pppp5-{T}(V2,V3,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #356: mergings( V4 == V5; #352 ), references = 1, size of lhs = 4:
% 7.11/7.28 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp3-{F}(V2,V3,V1), pppp8-{F}(V2,V3,V4,V5) | in-{T}(V5,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #358: mergings( V4 == V5; #353 ), references = 1, size of lhs = 4:
% 7.11/7.28 P_empty_set-{F}(V0), empty-{F}(V1), pppp3-{F}(V2,V3,V1), pppp8-{F}(V2,V3,V4,V5) | in-{T}(V5,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #360: mergings( V4 == V5; #354 ), references = 1, size of lhs = 4:
% 7.11/7.28 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp3-{F}(V2,V3,V1), pppp8-{F}(V2,V3,V4,V5) | in-{T}(V5,V4)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #414: exists( #57, #412 ), references = 1, size of lhs = 2:
% 7.11/7.28 pppp14-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #458: mergings( V0 == V3; #456 ), references = 1, size of lhs = 4:
% 7.11/7.28 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp2-{F}(V3,V4,V1), pppp8-{F}(V3,V4,V5,V1) | pppp19-{T}(V2,V5)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #478: disj( #21, input ), references = 1, size of lhs = 2:
% 7.11/7.28 in-{F}(V0,V1), pppp8-{F}(V2,V3,V0,V1) | pppp2-{T}(V2,V3,V1)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #583: mergings( V3 == V4; #580 ), references = 1, size of lhs = 4:
% 7.11/7.28 P_empty_set-{F}(V0), pppp13-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V3,V1) | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #585: mergings( V3 == V4; #581 ), references = 2, size of lhs = 3:
% 7.11/7.28 P_empty_set-{F}(V0), subset-{F}(V1,V1), pppp13-{F}(V2,V1) | P_set_union2-{T}(V2,V1,V1)
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #593: mergings( V2 == V3; #591 ), references = 1, size of lhs = 2:
% 7.11/7.28 pppp14-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #597: mergings( V0 == V2, V2 == V3; #594 ), references = 1, size of lhs = 1:
% 7.11/7.28 P_empty_set-{F}(V0) | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 #599: exists( #80, #594 ), references = 1, size of lhs = 0:
% 7.11/7.28 FALSE | FALSE
% 7.11/7.28 (used 0 times, uses = {})
% 7.11/7.28
% 7.11/7.28 number of learnt formulas = 43
% 7.11/7.28
% 7.11/7.28
% 7.11/7.28 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.11/7.28
% 7.11/7.28 randbase = 1
%------------------------------------------------------------------------------