%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU120+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:17:14 EDT 2022
% Result : Theorem 2.94s 3.17s
% Output : Refutation 2.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU120+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:11:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.94/3.17 GeoParameters:
% 2.94/3.17
% 2.94/3.17 tptp_input = 1
% 2.94/3.17 tptp_output = 0
% 2.94/3.17 nonempty = 1
% 2.94/3.17 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/3.17 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.94/3.17
% 2.94/3.17
% 2.94/3.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/3.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/3.17
% 2.94/3.17 RuleSystem INPUT:
% 2.94/3.17
% 2.94/3.17 Initial Rules:
% 2.94/3.17 #0: input, references = 6, size of lhs = 2:
% 2.94/3.17 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #1: input, references = 4, size of lhs = 3:
% 2.94/3.17 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #2: input, references = 4, size of lhs = 1:
% 2.94/3.17 P_empty_set-{F}(V0) | pppp0-{T}(V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #3: input, references = 3, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), pppp0-{F}(V1), V1 == V0 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #4: input, references = 7, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #5: input, references = 4, size of lhs = 2:
% 2.94/3.17 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp11-{T}(V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #6: input, references = 5, size of lhs = 1:
% 2.94/3.17 pppp11-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #7: input, references = 6, size of lhs = 1:
% 2.94/3.17 pppp3-{F}(V0,V1) | in-{T}(V1,V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #8: input, references = 7, size of lhs = 2:
% 2.94/3.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4) | pppp2-{T}(V1,V2,V4)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #9: input, references = 3, size of lhs = 4:
% 2.94/3.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4), pppp2-{F}(V1,V2,V3), V3 == V4 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #10: input, references = 5, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp1-{T}(V1,V2,V4)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #11: input, references = 5, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3), pppp1-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #12: input, references = 4, size of lhs = 4:
% 2.94/3.17 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp2-{T}(V1,V2,V3), pppp12-{T}(V1,V2,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #13: input, references = 3, size of lhs = 1:
% 2.94/3.17 pppp12-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #14: input, references = 3, size of lhs = 3:
% 2.94/3.17 pppp4-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #15: input, references = 9, size of lhs = 1:
% 2.94/3.17 pppp4-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp1-{T}(V0,V1,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #16: input, references = 7, size of lhs = 2:
% 2.94/3.17 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | in-{T}(V3,V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #17: input, references = 8, size of lhs = 2:
% 2.94/3.17 P_empty_set-{F}(V0), pppp1-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #18: input, references = 3, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2) | pppp1-{T}(V1,V2,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #19: input, references = 5, size of lhs = 4:
% 2.94/3.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), disjoint-{F}(V1,V2), V3 == V0 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #20: input, references = 5, size of lhs = 2:
% 2.94/3.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V0) | disjoint-{T}(V1,V2)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #21: input, references = 3, size of lhs = 1:
% 2.94/3.17 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #22: input, references = 4, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #23: input, references = 3, size of lhs = 1:
% 2.94/3.17 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #24: input, references = 3, size of lhs = 1:
% 2.94/3.17 pppp5-{F}(V0) | empty-{T}(V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #25: input, references = 3, size of lhs = 1:
% 2.94/3.17 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #26: input, references = 3, size of lhs = 2:
% 2.94/3.17 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #27: input, references = 3, size of lhs = 2:
% 2.94/3.17 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | disjoint-{T}(V2,V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #28: input, references = 4, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | disjoint-{T}(V1,V2), pppp13-{T}(V1,V2)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #29: input, references = 3, size of lhs = 1:
% 2.94/3.17 pppp13-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #30: input, references = 8, size of lhs = 4:
% 2.94/3.17 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2), disjoint-{F}(V1,V2) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #31: input, references = 3, size of lhs = 1:
% 2.94/3.17 pppp7-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #32: input, references = 3, size of lhs = 1:
% 2.94/3.17 pppp7-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #33: input, references = 4, size of lhs = 1:
% 2.94/3.17 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #34: input, references = 4, size of lhs = 1:
% 2.94/3.17 pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #35: input, references = 6, size of lhs = 3:
% 2.94/3.17 pppp9-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), in-{F}(V3,V2) | disjoint-{T}(V0,V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #36: input, references = 3, size of lhs = 3:
% 2.94/3.17 pppp9-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), in-{F}(V3,V2) | EXISTS V4: pppp8-{T}(V2,V4)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #37: input, references = 4, size of lhs = 3:
% 2.94/3.17 pppp9-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), disjoint-{F}(V0,V1) | EXISTS V3: pppp8-{T}(V2,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #38: input, references = 5, size of lhs = 1:
% 2.94/3.17 pppp8-{F}(V0,V1) | in-{T}(V1,V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #39: input, references = 8, size of lhs = 2:
% 2.94/3.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #40: input, references = 4, size of lhs = 0:
% 2.94/3.17 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 number of initial rules = 41
% 2.94/3.17
% 2.94/3.17 Simplifiers:
% 2.94/3.17 #41: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #42: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #43: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #44: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #45: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #46: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #47: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #48: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #49: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #50: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #51: unsound, references = 3, size of lhs = 3:
% 2.94/3.17 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 number of simplifiers = 11
% 2.94/3.17
% 2.94/3.17 Learnt:
% 2.94/3.17 #53: exists( #39, #22 ), references = 1, size of lhs = 2:
% 2.94/3.17 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #56: mergings( V0 == V2; #54 ), references = 4, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), #-{F} V1, V1 == V0 | pppp11-{T}(V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #59: exists( #39, #1 ), references = 3, size of lhs = 1:
% 2.94/3.17 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #63: mergings( V0 == V3; #60 ), references = 1, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), V3 == V0 | pppp13-{T}(V1,V2)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #65: mergings( V0 == V3; #61 ), references = 1, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3) | pppp13-{T}(V2,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #68: mergings( V0 == V4; #66 ), references = 1, size of lhs = 4:
% 2.94/3.17 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp12-{T}(V1,V2,V4)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #70: disj( #15, input ), references = 1, size of lhs = 1:
% 2.94/3.17 pppp4-{F}(V0,V1,V2,V2) | pppp1-{T}(V0,V1,V2)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #100: disj( #15, input ), references = 1, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp4-{F}(V2,V3,V1,V4) | pppp1-{T}(V2,V3,V4)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #101: disj( #15, input ), references = 1, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp4-{F}(V2,V3,V1,V4) | pppp1-{T}(V2,V3,V4)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #102: disj( #15, input ), references = 1, size of lhs = 2:
% 2.94/3.17 in-{F}(V0,V1), pppp4-{F}(V2,V3,V0,V1) | pppp1-{T}(V2,V3,V1)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #131: mergings( V3 == V4, V4 == V5; #128 ), references = 1, size of lhs = 5:
% 2.94/3.17 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp9-{F}(V2,V3), in-{F}(V1,V3), pppp1-{F}(V2,V3,V4) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #134: mergings( V3 == V4, V4 == V5; #127 ), references = 1, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), pppp9-{F}(V1,V2), pppp1-{F}(V1,V2,V3) | P_set_intersection2-{T}(V1,V2,V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #220: mergings( V2 == V3, V3 == V4; #216 ), references = 2, size of lhs = 4:
% 2.94/3.17 pppp11-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2), pppp2-{F}(V3,V2,V0) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #223: mergings( V2 == V3, V3 == V4; #217 ), references = 2, size of lhs = 4:
% 2.94/3.17 pppp11-{F}(V0), P_empty_set-{F}(V1), disjoint-{F}(V2,V2), pppp2-{F}(V3,V2,V0) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #238: mergings( V3 == V4, V4 == V5; #234 ), references = 1, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), pppp0-{F}(V1), #-{F} V2 | P_set_intersection2-{T}(V1,V2,V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #241: mergings( V3 == V4, V4 == V5; #235 ), references = 1, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), #-{F} V2 | P_set_intersection2-{T}(V1,V2,V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #272: disj( #15, input ), references = 1, size of lhs = 4:
% 2.94/3.17 P_empty_set-{F}(V0), disjoint-{F}(V1,V2), in-{F}(V3,V2), pppp4-{F}(V4,V5,V1,V3) | pppp1-{T}(V4,V5,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #283: mergings( V4 == V5; #279 ), references = 1, size of lhs = 4:
% 2.94/3.17 P_empty_set-{F}(V0), disjoint-{F}(V1,V2), pppp4-{F}(V3,V4,V1,V4), pppp4-{F}(V5,V6,V2,V4) | pppp1-{T}(V5,V6,V4)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #286: mergings( V4 == V5, V5 == V6; #280 ), references = 1, size of lhs = 5:
% 2.94/3.17 P_empty_set-{F}(V0), pppp0-{F}(V1), disjoint-{F}(V2,V3), pppp4-{F}(V4,V1,V2,V5), pppp4-{F}(V6,V7,V3,V5) | pppp1-{T}(V6,V7,V5)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #289: mergings( V4 == V5, V5 == V6; #281 ), references = 1, size of lhs = 5:
% 2.94/3.17 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), disjoint-{F}(V2,V3), pppp4-{F}(V4,V1,V2,V5), pppp4-{F}(V6,V7,V3,V5) | pppp1-{T}(V6,V7,V5)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #317: disj( #15, #16+#0 ), references = 1, size of lhs = 2:
% 2.94/3.17 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3,V1) | in-{T}(V1,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #319: mergings( V4 == V5; #315 ), references = 1, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp4-{F}(V1,V2,V3,V4) | in-{T}(V4,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #321: mergings( V4 == V5; #316 ), references = 1, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp4-{F}(V1,V2,V3,V4) | in-{T}(V4,V3)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #343: exists( #37, #339 ), references = 3, size of lhs = 5:
% 2.94/3.17 P_empty_set-{F}(V0), pppp0-{F}(V1), pppp9-{F}(V2,V3), P_set_intersection2-{F}(V2,V3,V1), disjoint-{F}(V2,V3) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #344: exists( #37, #340 ), references = 1, size of lhs = 5:
% 2.94/3.17 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp9-{F}(V2,V3), P_set_intersection2-{F}(V2,V3,V1), disjoint-{F}(V2,V3) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #407: disj( #15, #16+#0 ), references = 1, size of lhs = 3:
% 2.94/3.17 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp4-{F}(V1,V3,V4,V2) | in-{T}(V2,V4)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #510: mergings( V0 == V5; #508 ), references = 2, size of lhs = 5:
% 2.94/3.17 pppp11-{F}(V0), P_empty_set-{F}(V1), V0 == V1, pppp9-{F}(V2,V3), P_set_intersection2-{F}(V2,V3,V0) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #514: mergings( V3 == V4; #512 ), references = 1, size of lhs = 2:
% 2.94/3.17 P_empty_set-{F}(V0), pppp9-{F}(V1,V2) | P_set_intersection2-{T}(V1,V2,V0)
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #528: mergings( V2 == V3, V3 == V4, V4 == V5; #523 ), references = 1, size of lhs = 3:
% 2.94/3.17 pppp10-{F}(V0), pppp0-{F}(V1), P_empty_set-{F}(V1) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #535: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #529 ), references = 1, size of lhs = 2:
% 2.94/3.17 pppp0-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 #542: exists( #40, #538 ), references = 1, size of lhs = 0:
% 2.94/3.17 FALSE | FALSE
% 2.94/3.17 (used 0 times, uses = {})
% 2.94/3.17
% 2.94/3.17 number of learnt formulas = 31
% 2.94/3.17
% 2.94/3.17
% 2.94/3.17 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/3.17
% 2.94/3.17 randbase = 1
%------------------------------------------------------------------------------