%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN006-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:04:42 EDT 2022
% Result : Unsatisfiable 1.07s 1.30s
% Output : Refutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN006-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 21:01:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.07/1.30 GeoParameters:
% 1.07/1.30
% 1.07/1.30 tptp_input = 1
% 1.07/1.30 tptp_output = 0
% 1.07/1.30 nonempty = 1
% 1.07/1.30 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.30 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.07/1.30
% 1.07/1.30
% 1.07/1.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.30
% 1.07/1.30 RuleSystem INPUT:
% 1.07/1.30
% 1.07/1.30 Initial Rules:
% 1.07/1.30 #0: input, references = 4, size of lhs = 4:
% 1.07/1.30 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #1: input, references = 13, size of lhs = 2:
% 1.07/1.30 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #2: input, references = 10, size of lhs = 2:
% 1.07/1.30 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #3: input, references = 4, size of lhs = 6:
% 1.07/1.30 P_zero-{F}(V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V4,V5,V6), P_divide-{F}(V1,V2,V7), P_divide-{F}(V7,V3,V8) | less_equal-{T}(V6,V8)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #4: input, references = 12, size of lhs = 2:
% 1.07/1.30 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #5: input, references = 8, size of lhs = 4:
% 1.07/1.30 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #6: input, references = 6, size of lhs = 3:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #7: input, references = 7, size of lhs = 6:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_d-{F}(V5) | less_equal-{T}(V4,V5)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #8: input, references = 11, size of lhs = 8:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_d-{F}(V5), P_divide-{F}(V2,V5,V6), less_equal-{F}(V6,V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #9: input, references = 23, size of lhs = 2:
% 1.07/1.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #10: input, references = 4, size of lhs = 0:
% 1.07/1.30 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #11: input, references = 4, size of lhs = 0:
% 1.07/1.30 FALSE | EXISTS V0: P_identity-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #12: input, references = 4, size of lhs = 0:
% 1.07/1.30 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #13: input, references = 6, size of lhs = 0:
% 1.07/1.30 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #14: input, references = 8, size of lhs = 0:
% 1.07/1.30 FALSE | EXISTS V0: P_d-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 number of initial rules = 15
% 1.07/1.30
% 1.07/1.30 Simplifiers:
% 1.07/1.30 #15: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #16: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #17: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #18: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #19: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #20: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 number of simplifiers = 6
% 1.07/1.30
% 1.07/1.30 Learnt:
% 1.07/1.30 #25: exists( #9, #0 ), references = 14, size of lhs = 2:
% 1.07/1.30 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #31: mergings( V3 == V5, V4 == V6; #28 ), references = 1, size of lhs = 6:
% 1.07/1.30 P_b-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_d-{F}(V4) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #35: mergings( V1 == V3, V2 == V4; #32 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_b-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #44: mergings( V3 == V5, V4 == V6; #41 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_b-{F}(V0), P_d-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #63: mergings( V3 == V4, V4 == V5; #60 ), references = 11, size of lhs = 5:
% 1.07/1.30 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V4), P_divide-{F}(V3,V5,V1), P_divide-{F}(V5,V2,V6) | P_divide-{T}(V4,V6,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #81: mergings( V3 == V4, V4 == V5; #77 ), references = 3, size of lhs = 5:
% 1.07/1.30 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), less_equal-{F}(V3,V2), V3 == V2, P_divide-{F}(V4,V1,V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #84: mergings( V3 == V4, V4 == V5; #78 ), references = 2, size of lhs = 8:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V3,V2,V3), P_d-{F}(V4), P_divide-{F}(V2,V4,V5), P_divide-{F}(V2,V2,V5) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #91: mergings( V2 == V3, V3 == V4, V4 == V5; #86 ), references = 4, size of lhs = 2:
% 1.07/1.30 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | P_divide-{T}(V2,V2,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #101: mergings( V1 == V2, V2 == V3; #97 ), references = 2, size of lhs = 6:
% 1.07/1.30 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2), less_equal-{F}(V0,V2), P_divide-{F}(V0,V2,V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #104: mergings( V1 == V2, V2 == V3; #98 ), references = 1, size of lhs = 6:
% 1.07/1.30 P_a-{F}(V0), P_divide-{F}(V0,V0,V0), P_zero-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2), P_divide-{F}(V2,V0,V2) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #109: mergings( V1 == V2; #107 ), references = 1, size of lhs = 3:
% 1.07/1.30 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #122: mergings( V3 == V4; #120 ), references = 1, size of lhs = 6:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V2,V3), P_d-{F}(V4) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #125: mergings( V1 == V2; #123 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V2,V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #132: mergings( V3 == V6; #130 ), references = 1, size of lhs = 6:
% 1.07/1.30 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_d-{F}(V3), P_divide-{F}(V2,V2,V3), P_zero-{F}(V4) | P_divide-{T}(V1,V2,V3)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #156: mergings( V3 == V4; #154 ), references = 3, size of lhs = 5:
% 1.07/1.30 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), P_divide-{F}(V3,V1,V2), P_divide-{F}(V4,V1,V0), P_divide-{F}(V5,V3,V4) | P_divide-{T}(V5,V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #165: mergings( V3 == V4, V4 == V5; #162 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_zero-{F}(V0), P_divide-{F}(V1,V2,V2), P_divide-{F}(V3,V2,V0), P_divide-{F}(V1,V4,V3) | P_divide-{T}(V4,V2,V4)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #173: exists( #9, #8 ), references = 4, size of lhs = 7:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), P_divide-{F}(V2,V4,V5), less_equal-{F}(V5,V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #189: mergings( V3 == V5, V5 == V6; #186 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V4,V3,V1), P_divide-{F}(V2,V5,V4) | P_divide-{T}(V5,V3,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #214: mergings( V3 == V4, V4 == V5; #211 ), references = 3, size of lhs = 7:
% 1.07/1.30 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V0), P_divide-{F}(V4,V5,V1), P_divide-{F}(V5,V2,V6), P_divide-{F}(V7,V2,V6), P_divide-{F}(V7,V4,V3) | P_divide-{T}(V4,V2,V6)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #225: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #219 ), references = 2, size of lhs = 9:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), P_divide-{F}(V3,V2,V5), P_divide-{F}(V5,V4,V0), P_divide-{F}(V2,V3,V6), P_divide-{F}(V6,V4,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #231: mergings( V10 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #220 ), references = 1, size of lhs = 9:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), P_divide-{F}(V3,V2,V5), P_divide-{F}(V5,V4,V0), P_divide-{F}(V2,V3,V6), P_divide-{F}(V6,V4,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #240: mergings( V3 == V5, V4 == V6; #236 ), references = 1, size of lhs = 7:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), P_divide-{F}(V3,V2,V5), P_divide-{F}(V5,V4,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #250: mergings( V1 == V2, V2 == V4, V3 == V5; #245 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V3,V2,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #262: mergings( V1 == V3, V3 == V4, V4 == V6, V2 == V5, V5 == V7; #255 ), references = 1, size of lhs = 3:
% 1.07/1.30 P_a-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #295: mergings( V3 == V4; #292 ), references = 1, size of lhs = 8:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), P_divide-{F}(V5,V4,V3), P_divide-{F}(V2,V5,V6), P_divide-{F}(V6,V4,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #297: mergings( V3 == V4; #293 ), references = 1, size of lhs = 9:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_d-{F}(V5), P_divide-{F}(V6,V5,V3), P_divide-{F}(V2,V6,V7), P_divide-{F}(V7,V5,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #320: mergings( V3 == V4, V4 == V5, V5 == V6; #316 ), references = 1, size of lhs = 11:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V0,V3,V0), P_d-{F}(V4), P_divide-{F}(V5,V3,V0), P_divide-{F}(V6,V4,V5), P_divide-{F}(V2,V6,V7), P_divide-{F}(V7,V4,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #330: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #324 ), references = 2, size of lhs = 13:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V0,V3,V0), P_d-{F}(V4), P_divide-{F}(V5,V4,V0), P_divide-{F}(V2,V6,V5), P_divide-{F}(V3,V6,V7), P_divide-{F}(V7,V4,V0), P_divide-{F}(V6,V3,V8), P_divide-{F}(V8,V4,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #341: mergings( V3 == V4, V4 == V6, V5 == V7, V1 == V9, V6 == V11, V11 == V12; #334 ), references = 1, size of lhs = 12:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_divide-{F}(V3,V3,V0), P_d-{F}(V4), P_divide-{F}(V0,V4,V0), P_divide-{F}(V5,V3,V0), P_divide-{F}(V2,V6,V5), P_divide-{F}(V6,V2,V7), P_divide-{F}(V7,V3,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #349: mergings( V3 == V4, V4 == V7, V5 == V8, V6 == V10, V7 == V12, V12 == V13; #342 ), references = 1, size of lhs = 12:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_divide-{F}(V3,V3,V0), P_d-{F}(V4), P_divide-{F}(V0,V4,V0), P_divide-{F}(V5,V3,V0), P_divide-{F}(V2,V6,V5), P_divide-{F}(V6,V2,V7), P_divide-{F}(V7,V3,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #358: mergings( V1 == V2, V2 == V3, V3 == V6, V4 == V7, V5 == V9; #352 ), references = 1, size of lhs = 10:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_divide-{F}(V3,V3,V0), P_divide-{F}(V4,V3,V0), P_divide-{F}(V2,V5,V4), P_divide-{F}(V5,V2,V6), P_divide-{F}(V6,V3,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #365: mergings( V1 == V3, V2 == V4; #362 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V3,V0), P_divide-{F}(V3,V2,V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #373: mergings( V1 == V2, V2 == V4, V3 == V5; #369 ), references = 1, size of lhs = 2:
% 1.07/1.30 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #377: mergings( V1 == V2, V2 == V3; #374 ), references = 1, size of lhs = 1:
% 1.07/1.30 P_zero-{F}(V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #379: exists( #10, #374 ), references = 1, size of lhs = 0:
% 1.07/1.30 FALSE | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 number of learnt formulas = 35
% 1.07/1.30
% 1.07/1.30
% 1.07/1.30 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.30
% 1.07/1.30 randbase = 1
%------------------------------------------------------------------------------