TSTP Solution File: SEU130+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU130+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:17:16 EDT 2022
% Result : Theorem 27.82s 28.00s
% Output : Refutation 27.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU130+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 : n029.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 18:49:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 27.82/28.00 GeoParameters:
% 27.82/28.00
% 27.82/28.00 tptp_input = 1
% 27.82/28.00 tptp_output = 0
% 27.82/28.00 nonempty = 1
% 27.82/28.00 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.82/28.00 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 27.82/28.00
% 27.82/28.00
% 27.82/28.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.82/28.00 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.82/28.00
% 27.82/28.00 RuleSystem INPUT:
% 27.82/28.00
% 27.82/28.00 Initial Rules:
% 27.82/28.00 #0: input, references = 7, size of lhs = 2:
% 27.82/28.00 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #1: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #2: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #3: input, references = 3, size of lhs = 1:
% 27.82/28.00 #-{F} V1 | pppp0-{T}(V1,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #4: input, references = 3, size of lhs = 2:
% 27.82/28.00 pppp0-{F}(V0,V1), V0 == V1 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #5: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #6: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp0-{F}(V0,V1) | subset-{T}(V1,V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #7: input, references = 3, size of lhs = 2:
% 27.82/28.00 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #8: input, references = 3, size of lhs = 1:
% 27.82/28.00 P_empty_set-{F}(V0) | pppp1-{T}(V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #9: input, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp1-{F}(V1), V1 == V0 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #10: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #11: input, references = 4, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1 | pppp1-{T}(V1), pppp17-{T}(V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #12: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp17-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #13: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp7-{F}(V0,V1) | in-{T}(V1,V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #14: input, references = 3, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V4) | pppp3-{T}(V1,V2,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #15: input, references = 3, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V4), pppp3-{F}(V1,V2,V3), V3 == V4 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #16: input, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp2-{T}(V1,V2,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #17: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3), pppp2-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #18: input, references = 4, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp3-{T}(V1,V2,V3), pppp18-{T}(V1,V2,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #19: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V1,V2,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #20: input, references = 3, size of lhs = 3:
% 27.82/28.00 pppp8-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #21: input, references = 5, size of lhs = 1:
% 27.82/28.00 pppp8-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp2-{T}(V0,V1,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #22: input, references = 3, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3) | in-{T}(V3,V1), in-{T}(V3,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #23: input, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V2, in-{F}(V3,V1) | pppp2-{T}(V1,V2,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #24: input, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1, in-{F}(V3,V2) | pppp2-{T}(V1,V2,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #25: input, references = 3, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp4-{T}(V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #26: input, references = 5, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), pppp4-{F}(V1,V2) | subset-{T}(V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #27: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), in-{F}(V3,V1) | in-{T}(V3,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #28: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp4-{T}(V1,V2), pppp19-{T}(V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #29: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp19-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #30: input, references = 3, size of lhs = 2:
% 27.82/28.00 pppp9-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #31: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp9-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #32: input, references = 3, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4) | pppp6-{T}(V1,V2,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #33: input, references = 3, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4), pppp6-{F}(V1,V2,V3), V3 == V4 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #34: input, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp6-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp5-{T}(V1,V2,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #35: input, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp6-{F}(V1,V2,V3), pppp5-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #36: input, references = 4, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp6-{T}(V1,V2,V3), pppp20-{T}(V1,V2,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #37: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #38: input, references = 3, size of lhs = 3:
% 27.82/28.00 pppp10-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #39: input, references = 6, size of lhs = 1:
% 27.82/28.00 pppp10-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp5-{T}(V0,V1,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #40: input, references = 4, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3) | in-{T}(V3,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #41: input, references = 6, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #42: input, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2) | pppp5-{T}(V1,V2,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #43: input, references = 4, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), disjoint-{F}(V1,V2), V3 == V0 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #44: input, references = 3, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V0) | disjoint-{T}(V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #45: input, references = 3, size of lhs = 1:
% 27.82/28.00 P_empty_set-{F}(V0) | empty-{T}(V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #46: input, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #47: input, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #48: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #49: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #50: input, references = 4, size of lhs = 1:
% 27.82/28.00 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #51: input, references = 5, size of lhs = 1:
% 27.82/28.00 pppp11-{F}(V0) | empty-{T}(V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #52: input, references = 3, size of lhs = 1:
% 27.82/28.00 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #53: input, references = 3, size of lhs = 2:
% 27.82/28.00 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #54: input, references = 4, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #55: input, references = 3, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | disjoint-{T}(V2,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #56: input, references = 7, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V2 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #57: input, references = 4, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | subset-{T}(V3,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #58: input, references = 4, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), subset-{F}(V1,V2), P_set_intersection2-{F}(V3,V2,V4), subset-{F}(V1,V3) | subset-{T}(V1,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #59: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #60: input, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V3,V1) | subset-{T}(V3,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #61: input, references = 3, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), subset-{F}(V1,V2), P_set_intersection2-{F}(V1,V3,V4), P_set_intersection2-{F}(V2,V3,V5) | subset-{T}(V4,V5)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #62: input, references = 4, size of lhs = 1:
% 27.82/28.00 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #63: input, references = 5, size of lhs = 1:
% 27.82/28.00 pppp14-{F}(V0) | EXISTS V1: pppp13-{T}(V0,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #64: input, references = 5, size of lhs = 2:
% 27.82/28.00 pppp13-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V0) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #65: input, references = 4, size of lhs = 2:
% 27.82/28.00 pppp13-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #66: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #67: input, references = 3, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V0,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #68: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | disjoint-{T}(V1,V2), pppp21-{T}(V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #69: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp21-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #70: input, references = 3, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2), disjoint-{F}(V1,V2) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #71: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp15-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #72: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp15-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #73: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), subset-{F}(V1,V0), V1 == V0 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #74: input, references = 4, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | disjoint-{T}(V1,V2), pppp22-{T}(V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #75: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp22-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #76: input, references = 3, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), in-{F}(V4,V3), disjoint-{F}(V1,V2) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #77: input, references = 3, size of lhs = 1:
% 27.82/28.00 pppp16-{F}(V0,V1) | in-{T}(V1,V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #78: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #79: input, references = 4, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #80: input, references = 4, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3) | subset-{T}(V1,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #81: input, references = 4, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #82: input, references = 3, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), subset-{F}(V2,V1), P_set_union2-{F}(V3,V2,V4), subset-{F}(V3,V1) | subset-{T}(V4,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #83: input, references = 6, size of lhs = 2:
% 27.82/28.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #84: input, references = 8, size of lhs = 2:
% 27.82/28.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #85: input, references = 4, size of lhs = 0:
% 27.82/28.00 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 number of initial rules = 86
% 27.82/28.00
% 27.82/28.00 Simplifiers:
% 27.82/28.00 #86: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #87: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #88: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #89: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #90: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #91: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #92: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #93: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #94: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #95: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #96: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #97: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #98: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #99: unsound, references = 3, size of lhs = 3:
% 27.82/28.00 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 number of simplifiers = 14
% 27.82/28.00
% 27.82/28.00 Learnt:
% 27.82/28.00 #102: exists( #83, #48 ), references = 1, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #103: exists( #83, #56 ), references = 2, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_set_union2-{T}(V1,V2,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #105: exists( #84, #49 ), references = 1, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #111: mergings( V0 == V2; #108 ), references = 1, size of lhs = 1:
% 27.82/28.00 P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #113: mergings( V0 == V2; #109 ), references = 1, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #116: mergings( V0 == V2; #114 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1, V1 == V0 | pppp17-{T}(V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #118: exists( #84, #66 ), references = 2, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #121: exists( #83, #1 ), references = 2, size of lhs = 1:
% 27.82/28.00 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #122: exists( #83, #59 ), references = 1, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #125: exists( #84, #2 ), references = 4, size of lhs = 1:
% 27.82/28.00 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #126: exists( #84, #43 ), references = 1, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | P_set_intersection2-{T}(V1,V2,V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #135: mergings( V0 == V3, V3 == V2; #130 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), #-{F} V1, V1 == V0 | pppp19-{T}(V1,V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #138: mergings( V0 == V3, V3 == V4; #131 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), V3 == V2 | pppp19-{T}(V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #140: mergings( V0 == V3; #132 ), references = 1, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), in-{F}(V1,V2) | pppp19-{T}(V2,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #148: mergings( V3 == V5, V0 == V4; #143 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), V3 == V0 | pppp22-{T}(V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #151: mergings( V0 == V4, V3 == V4; #144 ), references = 1, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), P_set_intersection2-{F}(V2,V3,V0) | pppp22-{T}(V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #155: mergings( V5 == V3, V0 == V4, V3 == V4; #145 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), in-{F}(V1,V0), P_set_intersection2-{F}(V2,V3,V0) | pppp22-{T}(V0)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #161: mergings( V0 == V3; #157 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), V3 == V0 | pppp21-{T}(V1,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #163: mergings( V0 == V3; #158 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3) | pppp21-{T}(V2,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #166: mergings( V0 == V3, V4 == V3; #159 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), in-{F}(V1,V0), P_set_intersection2-{F}(V2,V3,V0) | pppp21-{T}(V2,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #170: mergings( V0 == V4; #168 ), references = 1, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp20-{T}(V1,V2,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #175: mergings( V0 == V4; #173 ), references = 1, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp18-{T}(V1,V2,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #180: disj( #21, input ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp8-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #181: disj( #21, input ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), empty-{F}(V1), pppp8-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #182: disj( #21, input ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp8-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #218: exists( #63, #216 ), references = 1, size of lhs = 2:
% 27.82/28.00 pppp14-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #262: disj( #39, input ), references = 1, size of lhs = 3:
% 27.82/28.00 pppp5-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V3,V2), pppp10-{F}(V4,V5,V3,V2) | pppp5-{T}(V4,V5,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #310: mergings( V3 == V4, V4 == V5, V5 == V6; #306 ), references = 2, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), subset-{F}(V1,V1), subset-{F}(V1,V2) | P_set_intersection2-{T}(V2,V1,V1)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #319: disj( #39, #41+#0 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3), pppp10-{F}(V4,V5,V3,V2) | pppp5-{T}(V4,V5,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #391: disj( #21, #17+#0 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3), pppp8-{F}(V1,V2,V4,V3) | in-{T}(V3,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #545: disj( #39, #40+#0 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp10-{F}(V1,V3,V4,V2) | in-{T}(V2,V4)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #547: mergings( V4 == V5; #543 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp10-{F}(V2,V1,V3,V4) | in-{T}(V4,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #549: mergings( V4 == V5; #544 ), references = 1, size of lhs = 3:
% 27.82/28.00 P_empty_set-{F}(V0), empty-{F}(V1), pppp10-{F}(V2,V1,V3,V4) | in-{T}(V4,V3)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #955: exists( #84, #953 ), references = 1, size of lhs = 4:
% 27.82/28.00 P_empty_set-{F}(V0), pppp13-{F}(V1,V2), P_set_union2-{F}(V1,V2,V3), V3 == V2 | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #957: exists( #83, #954 ), references = 1, size of lhs = 2:
% 27.82/28.00 P_empty_set-{F}(V0), pppp13-{F}(V1,V2) | P_set_union2-{T}(V1,V2,V2)
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #965: mergings( V2 == V3, V3 == V4; #962 ), references = 2, size of lhs = 3:
% 27.82/28.00 pppp14-{F}(V0), subset-{F}(V0,V0), P_empty_set-{F}(V1) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #970: mergings( V0 == V2, V2 == V3; #967 ), references = 1, size of lhs = 1:
% 27.82/28.00 P_empty_set-{F}(V0) | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 #972: exists( #85, #967 ), references = 1, size of lhs = 0:
% 27.82/28.00 FALSE | FALSE
% 27.82/28.00 (used 0 times, uses = {})
% 27.82/28.00
% 27.82/28.00 number of learnt formulas = 38
% 27.82/28.00
% 27.82/28.00
% 27.82/28.00 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.82/28.00
% 27.82/28.00 randbase = 1
%------------------------------------------------------------------------------