TSTP Solution File: SEU121+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:17:14 EDT 2022
% Result : Theorem 45.93s 46.08s
% Output : Refutation 45.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Jul 22 19:05:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 45.93/46.08 GeoParameters:
% 45.93/46.08
% 45.93/46.08 tptp_input = 1
% 45.93/46.08 tptp_output = 0
% 45.93/46.08 nonempty = 1
% 45.93/46.08 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.93/46.08 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 45.93/46.08
% 45.93/46.08
% 45.93/46.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.93/46.08 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.93/46.08
% 45.93/46.08 RuleSystem INPUT:
% 45.93/46.08
% 45.93/46.08 Initial Rules:
% 45.93/46.08 #0: input, references = 5, size of lhs = 2:
% 45.93/46.08 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #1: input, references = 4, size of lhs = 3:
% 45.93/46.08 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #2: input, references = 3, size of lhs = 1:
% 45.93/46.08 P_empty_set-{F}(V0) | pppp0-{T}(V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #3: input, references = 3, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp0-{F}(V1), V1 == V0 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #4: input, references = 8, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #5: input, references = 4, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp14-{T}(V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #6: input, references = 5, size of lhs = 1:
% 45.93/46.08 pppp14-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #7: input, references = 9, size of lhs = 1:
% 45.93/46.08 pppp4-{F}(V0,V1) | in-{T}(V1,V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #8: input, references = 8, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #9: input, references = 4, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | subset-{T}(V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #10: input, references = 16, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V3,V1) | in-{T}(V3,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #11: input, references = 11, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp15-{T}(V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #12: input, references = 6, size of lhs = 1:
% 45.93/46.08 pppp15-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #13: input, references = 5, size of lhs = 2:
% 45.93/46.08 pppp5-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #14: input, references = 7, size of lhs = 1:
% 45.93/46.08 pppp5-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #15: input, references = 7, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4) | pppp3-{T}(V1,V2,V4)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #16: input, references = 3, size of lhs = 4:
% 45.93/46.08 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4), pppp3-{F}(V1,V2,V3), V3 == V4 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #17: input, references = 8, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp2-{T}(V1,V2,V4)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #18: input, references = 3, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3), pppp2-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #19: input, references = 5, size of lhs = 4:
% 45.93/46.08 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp3-{T}(V1,V2,V3), pppp16-{T}(V1,V2,V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #20: input, references = 4, size of lhs = 1:
% 45.93/46.08 pppp16-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #21: input, references = 7, size of lhs = 3:
% 45.93/46.08 pppp6-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #22: input, references = 7, size of lhs = 1:
% 45.93/46.08 pppp6-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp2-{T}(V0,V1,V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #23: input, references = 7, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3) | in-{T}(V3,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #24: input, references = 6, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #25: input, references = 4, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2) | pppp2-{T}(V1,V2,V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #26: input, references = 4, size of lhs = 4:
% 45.93/46.08 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), disjoint-{F}(V1,V2), V3 == V0 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #27: input, references = 3, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V0) | disjoint-{T}(V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #28: input, references = 3, size of lhs = 1:
% 45.93/46.08 P_empty_set-{F}(V0) | empty-{T}(V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #29: input, references = 4, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #30: input, references = 4, size of lhs = 1:
% 45.93/46.08 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #31: input, references = 5, size of lhs = 1:
% 45.93/46.08 pppp7-{F}(V0) | empty-{T}(V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #32: input, references = 3, size of lhs = 1:
% 45.93/46.08 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #33: input, references = 3, size of lhs = 2:
% 45.93/46.08 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #34: input, references = 3, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #35: input, references = 3, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | disjoint-{T}(V2,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #36: input, references = 4, size of lhs = 1:
% 45.93/46.08 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #37: input, references = 5, size of lhs = 1:
% 45.93/46.08 pppp11-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #38: input, references = 6, size of lhs = 1:
% 45.93/46.08 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V2,V0,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #39: input, references = 5, size of lhs = 1:
% 45.93/46.08 pppp10-{F}(V0,V1) | subset-{T}(V0,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #40: input, references = 6, size of lhs = 2:
% 45.93/46.08 pppp9-{F}(V0,V1,V2), subset-{F}(V0,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #41: input, references = 8, size of lhs = 1:
% 45.93/46.08 pppp9-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #42: input, references = 5, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | disjoint-{T}(V1,V2), pppp17-{T}(V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #43: input, references = 3, size of lhs = 1:
% 45.93/46.08 pppp17-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #44: input, references = 6, size of lhs = 4:
% 45.93/46.08 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2), disjoint-{F}(V1,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #45: input, references = 3, size of lhs = 1:
% 45.93/46.08 pppp12-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #46: input, references = 3, size of lhs = 1:
% 45.93/46.08 pppp12-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #47: input, references = 4, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | disjoint-{T}(V1,V2), pppp18-{T}(V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #48: input, references = 3, size of lhs = 1:
% 45.93/46.08 pppp18-{F}(V0) | EXISTS V1: pppp13-{T}(V0,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #49: input, references = 3, size of lhs = 4:
% 45.93/46.08 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), in-{F}(V4,V3), disjoint-{F}(V1,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #50: input, references = 3, size of lhs = 1:
% 45.93/46.08 pppp13-{F}(V0,V1) | in-{T}(V1,V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #51: input, references = 4, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #52: input, references = 8, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #53: input, references = 4, size of lhs = 4:
% 45.93/46.08 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #54: input, references = 8, size of lhs = 2:
% 45.93/46.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #55: input, references = 4, size of lhs = 0:
% 45.93/46.08 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 number of initial rules = 56
% 45.93/46.08
% 45.93/46.08 Simplifiers:
% 45.93/46.08 #56: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #57: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #58: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #59: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #60: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #61: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #62: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #63: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V1,V2), V0 == V3 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #64: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V1,V5), V2 == V5 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #65: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V1 == V4 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #66: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #67: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #68: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #69: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #70: unsound, references = 3, size of lhs = 3:
% 45.93/46.08 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 number of simplifiers = 15
% 45.93/46.08
% 45.93/46.08 Learnt:
% 45.93/46.08 #72: exists( #54, #29 ), references = 1, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #75: mergings( V0 == V2; #73 ), references = 7, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), #-{F} V1, V1 == V0 | pppp14-{T}(V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #83: mergings( V0 == V2; #80 ), references = 1, size of lhs = 1:
% 45.93/46.08 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #85: mergings( V0 == V2; #81 ), references = 1, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #89: exists( #54, #1 ), references = 7, size of lhs = 1:
% 45.93/46.08 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #90: exists( #54, #26 ), references = 1, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | P_set_intersection2-{T}(V1,V2,V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #93: mergings( V0 == V4; #91 ), references = 3, size of lhs = 4:
% 45.93/46.08 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp16-{T}(V1,V2,V4)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #99: mergings( V0 == V3; #97 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), V3 == V0 | pppp17-{T}(V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #109: mergings( V0 == V3, V3 == V4; #104 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #112: mergings( V0 == V3, V3 == V4; #105 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #115: mergings( V0 == V3, V3 == V4; #106 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), in-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #141: mergings( V2 == V3, V3 == V4; #136 ), references = 2, size of lhs = 4:
% 45.93/46.08 pppp14-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp3-{F}(V2,V3,V0) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #144: mergings( V2 == V3, V3 == V4; #137 ), references = 2, size of lhs = 4:
% 45.93/46.08 pppp14-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp3-{F}(V2,V3,V0) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #147: mergings( V2 == V3, V3 == V4; #138 ), references = 2, size of lhs = 4:
% 45.93/46.08 pppp14-{F}(V0), P_empty_set-{F}(V1), disjoint-{F}(V2,V2), pppp3-{F}(V2,V3,V0) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #168: mergings( V3 == V4, V4 == V5; #163 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp0-{F}(V1), #-{F} V2 | P_set_intersection2-{T}(V2,V1,V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #171: mergings( V3 == V4, V4 == V5; #164 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | P_set_intersection2-{T}(V2,V1,V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #174: mergings( V3 == V4, V4 == V5; #165 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), #-{F} V2 | P_set_intersection2-{T}(V2,V1,V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #181: mergings( V3 == V5, V0 == V4; #176 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), V3 == V0 | pppp18-{T}(V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #184: mergings( V0 == V4, V2 == V4; #177 ), references = 1, size of lhs = 4:
% 45.93/46.08 pppp14-{F}(V0), P_empty_set-{F}(V1), P_set_intersection2-{F}(V2,V2,V1), pppp3-{F}(V2,V3,V0) | pppp18-{T}(V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #187: mergings( V0 == V4, V3 == V4; #178 ), references = 1, size of lhs = 4:
% 45.93/46.08 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), P_set_intersection2-{F}(V2,V3,V0) | pppp18-{T}(V0)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #193: disj( #22, input ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp6-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #194: disj( #22, input ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), empty-{F}(V1), pppp6-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #195: disj( #22, input ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp6-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #208: mergings( V0 == V3; #206 ), references = 1, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), in-{F}(V1,V2) | pppp15-{T}(V2,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #239: disj( #22, input ), references = 1, size of lhs = 2:
% 45.93/46.08 in-{F}(V0,V1), pppp6-{F}(V2,V3,V0,V1) | pppp2-{T}(V2,V3,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #269: mergings( V0 == V3, V3 == V4; #266 ), references = 1, size of lhs = 5:
% 45.93/46.08 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), pppp6-{F}(V4,V5,V3,V1), pppp3-{F}(V4,V5,V6) | pppp15-{T}(V2,V6)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #315: disj( #22, input ), references = 1, size of lhs = 1:
% 45.93/46.08 pppp6-{F}(V0,V1,V2,V2) | pppp2-{T}(V0,V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #316: disj( #22, input ), references = 1, size of lhs = 2:
% 45.93/46.08 pppp5-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V1,V2) | pppp2-{T}(V3,V4,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #356: mergings( V0 == V3; #354 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #474: exists( #12, #469 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp15-{F}(V1,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #475: exists( #12, #471 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), empty-{F}(V1), pppp15-{F}(V1,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #479: mergings( V0 == V3; #476 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp0-{F}(V1), #-{F} V2 | pppp1-{T}(V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #481: mergings( V0 == V3; #477 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp1-{T}(V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #529: mergings( V2 == V3; #525 ), references = 1, size of lhs = 4:
% 45.93/46.08 pppp14-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp1-{F}(V0,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #531: mergings( V2 == V3; #526 ), references = 1, size of lhs = 4:
% 45.93/46.08 pppp14-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp1-{F}(V0,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #533: mergings( V2 == V3; #527 ), references = 1, size of lhs = 4:
% 45.93/46.08 pppp14-{F}(V0), P_empty_set-{F}(V1), pppp1-{F}(V0,V2), disjoint-{F}(V2,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #549: mergings( V3 == V4, V4 == V5, V5 == V6; #543 ), references = 2, size of lhs = 3:
% 45.93/46.08 pppp0-{F}(V0), pppp10-{F}(V0,V1), P_empty_set-{F}(V2) | pppp9-{T}(V2,V0,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #553: mergings( V3 == V4, V4 == V5, V5 == V6; #544 ), references = 1, size of lhs = 3:
% 45.93/46.08 empty-{F}(V0), pppp10-{F}(V0,V1), P_empty_set-{F}(V2) | pppp9-{T}(V2,V0,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #557: mergings( V3 == V4, V4 == V5, V5 == V6; #545 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp10-{F}(V1,V2) | pppp9-{T}(V0,V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #562: exists( #37, #560 ), references = 1, size of lhs = 3:
% 45.93/46.08 pppp11-{F}(V0), pppp0-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #600: exists( #38, #598 ), references = 1, size of lhs = 1:
% 45.93/46.08 pppp10-{F}(V0,V0) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #634: mergings( V0 == V3; #632 ), references = 1, size of lhs = 4:
% 45.93/46.08 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp2-{F}(V3,V4,V1), pppp6-{F}(V3,V4,V5,V1) | pppp15-{T}(V2,V5)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #672: disj( #22, #23+#21 ), references = 2, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp6-{F}(V1,V2,V1,V3), pppp6-{F}(V1,V2,V4,V3) | in-{T}(V3,V4)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #674: mergings( V4 == V5; #669 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp6-{F}(V2,V1,V3,V4) | in-{T}(V4,V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #676: mergings( V4 == V5; #671 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), empty-{F}(V1), pppp6-{F}(V2,V1,V3,V4) | in-{T}(V4,V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #685: mergings( V0 == V3; #681 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3) | pppp17-{T}(V2,V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #688: mergings( V0 == V3, V4 == V3; #683 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), in-{F}(V1,V0), P_set_intersection2-{F}(V2,V3,V0) | pppp17-{T}(V2,V3)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #909: mergings( V3 == V4, V4 == V5; #906 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp16-{F}(V1,V2,V1), pppp1-{F}(V1,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #916: mergings( V3 == V4, V4 == V5, V5 == V6; #912 ), references = 1, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | P_set_intersection2-{T}(V2,V1,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #980: mergings( V0 == V3; #978 ), references = 2, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), pppp16-{F}(V1,V2,V1) | pppp15-{T}(V1,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #1091: mergings( V3 == V4; #1089 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp15-{F}(V1,V2), pppp3-{F}(V3,V2,V1) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #1095: mergings( V0 == V3, V3 == V4; #1092 ), references = 2, size of lhs = 2:
% 45.93/46.08 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3) | pppp1-{T}(V3,V2)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #1637: mergings( V0 == V4; #1634 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp15-{F}(V1,V2), #-{F} V3 | pppp16-{T}(V3,V2,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #2003: mergings( V3 == V4; #2001 ), references = 1, size of lhs = 4:
% 45.93/46.08 P_empty_set-{F}(V0), pppp15-{F}(V1,V2), pppp1-{F}(V1,V3), pppp1-{F}(V3,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #2011: mergings( V3 == V4, V4 == V5, V5 == V6; #2007 ), references = 2, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp1-{F}(V2,V3) | P_set_intersection2-{T}(V3,V1,V1)
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #2038: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #2033 ), references = 1, size of lhs = 3:
% 45.93/46.08 P_empty_set-{F}(V0), pppp10-{F}(V1,V2), pppp1-{F}(V1,V2) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #2047: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #2041 ), references = 1, size of lhs = 2:
% 45.93/46.08 pppp11-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #2055: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #2048 ), references = 1, size of lhs = 1:
% 45.93/46.08 P_empty_set-{F}(V0) | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 #2057: exists( #55, #2048 ), references = 1, size of lhs = 0:
% 45.93/46.08 FALSE | FALSE
% 45.93/46.08 (used 0 times, uses = {})
% 45.93/46.08
% 45.93/46.08 number of learnt formulas = 59
% 45.93/46.08
% 45.93/46.08
% 45.93/46.08 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.93/46.08
% 45.93/46.08 randbase = 1
%------------------------------------------------------------------------------