TSTP Solution File: SET018-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET018-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:15:35 EDT 2022
% Result : Unsatisfiable 1.08s 1.25s
% Output : Refutation 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 02:52:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.08/1.25 GeoParameters:
% 1.08/1.25
% 1.08/1.25 tptp_input = 1
% 1.08/1.25 tptp_output = 0
% 1.08/1.25 nonempty = 1
% 1.08/1.25 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.25 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.08/1.25
% 1.08/1.25
% 1.08/1.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.25
% 1.08/1.25 RuleSystem INPUT:
% 1.08/1.25
% 1.08/1.25 Initial Rules:
% 1.08/1.25 #0: input, references = 4, size of lhs = 1:
% 1.08/1.25 P_singleton_set-{F}(V0,V1) | member-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #1: input, references = 10, size of lhs = 3:
% 1.08/1.25 P_singleton_set-{F}(V1,V2), member-{F}(V0,V2), V0 == V1 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #2: input, references = 6, size of lhs = 1:
% 1.08/1.25 P_unordered_pair-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #3: input, references = 14, size of lhs = 1:
% 1.08/1.25 P_unordered_pair-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #4: input, references = 11, size of lhs = 4:
% 1.08/1.25 P_unordered_pair-{F}(V2,V1,V3), member-{F}(V0,V3), V0 == V1, V0 == V2 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #5: input, references = 5, size of lhs = 5:
% 1.08/1.25 P_ordered_pair-{F}(V0,V1,V2), P_singleton_set-{F}(V0,V3), P_unordered_pair-{F}(V0,V1,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #6: input, references = 5, size of lhs = 7:
% 1.08/1.25 P_m1-{F}(V0), P_r1-{F}(V1), P_ordered_pair-{F}(V0,V1,V2), P_m2-{F}(V3), P_r2-{F}(V4), P_ordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #7: input, references = 5, size of lhs = 6:
% 1.08/1.25 P_m1-{F}(V0), P_r1-{F}(V4), P_ordered_pair-{F}(V0,V4,V2), P_m2-{F}(V3), P_r2-{F}(V4), P_ordered_pair-{F}(V3,V4,V5) | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #8: input, references = 9, size of lhs = 1:
% 1.08/1.25 #-{F} V0 | EXISTS V1: P_singleton_set-{T}(V0,V1)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #9: input, references = 11, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #10: input, references = 14, size of lhs = 2:
% 1.08/1.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #11: input, references = 4, size of lhs = 0:
% 1.08/1.25 FALSE | EXISTS V0: P_m1-{T}(V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #12: input, references = 4, size of lhs = 0:
% 1.08/1.25 FALSE | EXISTS V0: P_r1-{T}(V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #13: input, references = 5, size of lhs = 0:
% 1.08/1.25 FALSE | EXISTS V0: P_m2-{T}(V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #14: input, references = 7, size of lhs = 0:
% 1.08/1.25 FALSE | EXISTS V0: P_r2-{T}(V0)
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 number of initial rules = 15
% 1.08/1.25
% 1.08/1.25 Simplifiers:
% 1.08/1.25 #15: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 P_singleton_set-{F}(V0,V1), P_singleton_set-{F}(V0,V3), V1 == V3 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #16: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.08/1.25 (used 0 times, uses = {})
% 1.08/1.25
% 1.08/1.25 #17: unsound, references = 3, size of lhs = 3:
% 1.08/1.25 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #18: unsound, references = 3, size of lhs = 3:
% 1.08/1.26 P_m1-{F}(V0), P_m1-{F}(V1), V0 == V1 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #19: unsound, references = 3, size of lhs = 3:
% 1.08/1.26 P_r1-{F}(V0), P_r1-{F}(V1), V0 == V1 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #20: unsound, references = 3, size of lhs = 3:
% 1.08/1.26 P_m2-{F}(V0), P_m2-{F}(V1), V0 == V1 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #21: unsound, references = 3, size of lhs = 3:
% 1.08/1.26 P_r2-{F}(V0), P_r2-{F}(V1), V0 == V1 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 number of simplifiers = 7
% 1.08/1.26
% 1.08/1.26 Learnt:
% 1.08/1.26 #24: exists( #10, #5 ), references = 1, size of lhs = 3:
% 1.08/1.26 P_singleton_set-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V1,V3,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #26: exists( #10, #7 ), references = 2, size of lhs = 4:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r1-{F}(V1), P_r2-{F}(V1) | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #30: exists( #9, #5 ), references = 14, size of lhs = 3:
% 1.08/1.26 P_singleton_set-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V1,V4,V3)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #63: exists( #10, #6 ), references = 5, size of lhs = 5:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_ordered_pair-{F}(V0,V1,V2), P_m2-{F}(V3), P_r2-{F}(V4) | P_ordered_pair-{T}(V3,V4,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #82: exists( #9, #79 ), references = 1, size of lhs = 4:
% 1.08/1.26 P_singleton_set-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), member-{F}(V4,V3), V4 == V1 | P_unordered_pair-{T}(V0,V2,V4)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #89: exists( #10, #87 ), references = 2, size of lhs = 11:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_r2-{F}(V3), P_singleton_set-{F}(V2,V4), P_singleton_set-{F}(V0,V5), P_unordered_pair-{F}(V0,V1,V6), V6 == V4, P_unordered_pair-{F}(V7,V8,V6), V3 == V8, V3 == V7 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #91: exists( #9, #88 ), references = 1, size of lhs = 8:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_r2-{F}(V3), V3 == V1, V3 == V0, P_singleton_set-{F}(V2,V4), P_singleton_set-{F}(V0,V5) | P_unordered_pair-{T}(V0,V1,V4)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #123: exists( #9, #121 ), references = 1, size of lhs = 3:
% 1.08/1.26 P_singleton_set-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V4,V5,V3) | P_unordered_pair-{T}(V0,V2,V5), P_unordered_pair-{T}(V0,V2,V4)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #128: disj( #122, #3+#1 ), references = 3, size of lhs = 5:
% 1.08/1.26 P_singleton_set-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_singleton_set-{F}(V4,V5), V2 == V4, P_unordered_pair-{F}(V6,V5,V3) | P_unordered_pair-{T}(V0,V2,V6)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #129: disj( #122, #3+#4 ), references = 3, size of lhs = 6:
% 1.08/1.26 P_singleton_set-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V4,V5,V3), P_unordered_pair-{F}(V6,V7,V5), V2 == V7, V2 == V6 | P_unordered_pair-{T}(V0,V2,V4)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #140: exists( #10, #136 ), references = 1, size of lhs = 11:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_r2-{F}(V3), P_singleton_set-{F}(V2,V4), P_singleton_set-{F}(V0,V5), P_singleton_set-{F}(V6,V5), V3 == V6, P_unordered_pair-{F}(V0,V1,V7), P_singleton_set-{F}(V8,V7), V3 == V8 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #141: exists( #10, #137 ), references = 1, size of lhs = 12:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_r2-{F}(V3), P_singleton_set-{F}(V2,V4), P_singleton_set-{F}(V0,V5), P_unordered_pair-{F}(V0,V1,V6), P_singleton_set-{F}(V7,V6), V3 == V7, P_unordered_pair-{F}(V8,V9,V5), V3 == V9, V3 == V8 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #147: mergings( V2 == V4; #144 ), references = 2, size of lhs = 6:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r1-{F}(V1), P_r2-{F}(V2), V2 == V1, V2 == V0 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #150: exists( #14, #144 ), references = 1, size of lhs = 3:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r1-{F}(V1) | P_r2-{T}(V0), P_r2-{T}(V1)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #163: exists( #8, #89 ), references = 1, size of lhs = 9:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_r2-{F}(V3), P_singleton_set-{F}(V0,V4), P_unordered_pair-{F}(V0,V1,V5), P_unordered_pair-{F}(V6,V7,V5), V3 == V7, V3 == V6 | P_singleton_set-{T}(V2,V5)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #167: exists( #9, #165 ), references = 1, size of lhs = 8:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V0 == V2, P_r2-{F}(V3), V3 == V1, V3 == V0, P_singleton_set-{F}(V0,V4) | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #169: exists( #8, #166 ), references = 2, size of lhs = 7:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V0 == V2, P_r2-{F}(V3), V3 == V1, V3 == V0 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #171: exists( #14, #168 ), references = 1, size of lhs = 4:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V0 == V2 | P_r2-{T}(V1), P_r2-{T}(V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #188: exists( #10, #186 ), references = 3, size of lhs = 4:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_r2-{F}(V1), P_m2-{F}(V2) | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #192: mergings( V0 == V3, V2 == V4; #189 ), references = 1, size of lhs = 4:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V0 == V2 | P_r2-{T}(V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #198: mergings( V1 == V2, V2 == V4, V4 == V3; #194 ), references = 2, size of lhs = 2:
% 1.08/1.26 P_r1-{F}(V0), P_m1-{F}(V0) | P_m2-{T}(V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #203: mergings( V0 == V2; #200 ), references = 3, size of lhs = 3:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r1-{F}(V1) | P_r2-{T}(V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #249: mergings( V4 == V0; #245 ), references = 1, size of lhs = 10:
% 1.08/1.26 P_m1-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_singleton_set-{F}(V2,V3), P_unordered_pair-{F}(V2,V0,V4), P_singleton_set-{F}(V0,V5), V5 == V3, V5 == V4, P_unordered_pair-{F}(V0,V1,V6) | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #254: mergings( V4 == V0; #250 ), references = 2, size of lhs = 9:
% 1.08/1.26 P_m1-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_singleton_set-{F}(V2,V3), P_unordered_pair-{F}(V2,V0,V4), P_singleton_set-{F}(V0,V5), V5 == V3, V5 == V4 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #260: mergings( V6 == V3; #256 ), references = 1, size of lhs = 9:
% 1.08/1.26 P_m1-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_singleton_set-{F}(V3,V2), P_unordered_pair-{F}(V3,V4,V0), P_singleton_set-{F}(V2,V5), P_singleton_set-{F}(V0,V6), V6 == V5 | P_ordered_pair-{T}(V3,V4,V6)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #288: exists( #9, #254 ), references = 1, size of lhs = 7:
% 1.08/1.26 P_m1-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_singleton_set-{F}(V2,V3), P_singleton_set-{F}(V0,V4), V4 == V3 | P_unordered_pair-{T}(V2,V0,V4)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #295: exists( #8, #291 ), references = 1, size of lhs = 7:
% 1.08/1.26 P_m1-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), P_singleton_set-{F}(V0,V3), P_singleton_set-{F}(V4,V3), V2 == V4 | P_singleton_set-{T}(V2,V3)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #299: exists( #8, #297 ), references = 1, size of lhs = 5:
% 1.08/1.26 P_m1-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V2 == V0 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #304: mergings( V1 == V3, V2 == V4; #301 ), references = 1, size of lhs = 4:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1), P_m2-{F}(V2), V2 == V0 | P_r2-{T}(V1)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #309: mergings( V1 == V3, V2 == V4; #306 ), references = 1, size of lhs = 2:
% 1.08/1.26 P_m1-{F}(V0), P_r1-{F}(V1) | P_m2-{T}(V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #342: mergings( V0 == V3, V4 == V3; #335 ), references = 3, size of lhs = 5:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_ordered_pair-{F}(V0,V0,V2) | P_ordered_pair-{T}(V0,V1,V2)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #361: mergings( V3 == V0, V5 == V6, V1 == V0; #351 ), references = 1, size of lhs = 10:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_singleton_set-{F}(V0,V2), P_unordered_pair-{F}(V0,V0,V3), P_singleton_set-{F}(V4,V3), V1 == V4, P_singleton_set-{F}(V5,V2), V1 == V5 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #362: mergings( V1 == V3, V0 == V3, V5 == V6; #351 ), references = 1, size of lhs = 10:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_singleton_set-{F}(V0,V2), P_unordered_pair-{F}(V0,V0,V3), P_singleton_set-{F}(V4,V3), V1 == V4, P_singleton_set-{F}(V5,V2), V1 == V5 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #371: mergings( V3 == V0, V5 == V6, V1 == V0; #352 ), references = 1, size of lhs = 11:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_singleton_set-{F}(V0,V2), P_unordered_pair-{F}(V0,V0,V3), P_singleton_set-{F}(V4,V3), V1 == V4, P_unordered_pair-{F}(V5,V6,V2), V1 == V6, V1 == V5 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #372: mergings( V1 == V3, V0 == V3, V5 == V6; #352 ), references = 1, size of lhs = 11:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_singleton_set-{F}(V0,V2), P_unordered_pair-{F}(V0,V0,V3), P_singleton_set-{F}(V4,V3), V1 == V4, P_unordered_pair-{F}(V5,V6,V2), V1 == V6, V1 == V5 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #389: mergings( V3 == V4; #386 ), references = 1, size of lhs = 11:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_singleton_set-{F}(V0,V2), P_singleton_set-{F}(V3,V2), V1 == V3, P_unordered_pair-{F}(V0,V0,V4), P_unordered_pair-{F}(V5,V6,V4), V1 == V6, V1 == V5 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #392: mergings( V3 == V4, V4 == V5; #387 ), references = 1, size of lhs = 10:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), P_singleton_set-{F}(V0,V2), P_unordered_pair-{F}(V0,V0,V3), V3 == V2, P_unordered_pair-{F}(V4,V5,V3), V1 == V5, V1 == V4 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #396: mergings( V3 == V4; #393 ), references = 1, size of lhs = 8:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), V1 == V0, P_singleton_set-{F}(V0,V2), P_singleton_set-{F}(V3,V2), V1 == V3 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #398: exists( #8, #393 ), references = 1, size of lhs = 5:
% 1.08/1.26 P_m1-{F}(V0), P_m2-{F}(V0), P_r2-{F}(V0), P_r1-{F}(V1), V1 == V0 | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #403: mergings( V1 == V2; #401 ), references = 1, size of lhs = 1:
% 1.08/1.26 P_m1-{F}(V0) | P_r1-{T}(V0)
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 #412: exists( #11, #408 ), references = 1, size of lhs = 0:
% 1.08/1.26 FALSE | FALSE
% 1.08/1.26 (used 0 times, uses = {})
% 1.08/1.26
% 1.08/1.26 number of learnt formulas = 41
% 1.08/1.26
% 1.08/1.26
% 1.08/1.26 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.26
% 1.08/1.26 randbase = 1
%------------------------------------------------------------------------------