TSTP Solution File: HEN009-6 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN009-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:04:44 EDT 2022
% Result : Unsatisfiable 1.67s 1.84s
% Output : Refutation 1.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN009-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.34 % Computer : n005.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 21:04:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.67/1.84 GeoParameters:
% 1.67/1.84
% 1.67/1.84 tptp_input = 1
% 1.67/1.84 tptp_output = 0
% 1.67/1.84 nonempty = 1
% 1.67/1.84 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/1.84 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.67/1.84
% 1.67/1.84
% 1.67/1.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/1.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/1.84
% 1.67/1.84 RuleSystem INPUT:
% 1.67/1.84
% 1.67/1.84 Initial Rules:
% 1.67/1.84 #0: input, references = 4, size of lhs = 4:
% 1.67/1.84 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #1: input, references = 11, size of lhs = 2:
% 1.67/1.84 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #2: input, references = 6, size of lhs = 2:
% 1.67/1.84 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #3: input, references = 5, size of lhs = 6:
% 1.67/1.84 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)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #4: input, references = 4, size of lhs = 2:
% 1.67/1.84 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #5: input, references = 9, size of lhs = 4:
% 1.67/1.84 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #6: input, references = 5, size of lhs = 3:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #7: input, references = 3, size of lhs = 4:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #8: input, references = 4, size of lhs = 4:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V2,V3), V3 == V0 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #9: input, references = 4, size of lhs = 4:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V2,V3), V3 == V0 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #10: input, references = 7, size of lhs = 5:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V5), P_divide-{F}(V2,V4,V6), less_equal-{F}(V5,V4) | less_equal-{T}(V6,V3)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #11: input, references = 4, size of lhs = 5:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), less_equal-{F}(V2,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V3,V4,V6) | less_equal-{T}(V5,V6)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #12: input, references = 5, size of lhs = 6:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V5), P_divide-{F}(V1,V5,V4), P_divide-{F}(V1,V4,V5) | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #13: input, references = 4, size of lhs = 8:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V3,V4), P_divide-{F}(V1,V4,V5), P_b-{F}(V6), V3 == V6 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #14: input, references = 4, size of lhs = 10:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V3,V4), P_divide-{F}(V1,V4,V5), P_b-{F}(V6), P_divide-{F}(V1,V6,V7), P_c-{F}(V8), V7 == V8 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #15: input, references = 4, size of lhs = 12:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V3,V4), P_divide-{F}(V1,V4,V5), P_b-{F}(V6), P_divide-{F}(V1,V6,V7), P_c-{F}(V8), P_divide-{F}(V1,V8,V9), P_d-{F}(V10), V9 == V10 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #16: input, references = 4, size of lhs = 11:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V3,V4), P_divide-{F}(V1,V4,V5), P_b-{F}(V10), P_divide-{F}(V1,V10,V7), P_c-{F}(V8), P_divide-{F}(V1,V8,V9), P_d-{F}(V10) | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #17: input, references = 16, size of lhs = 2:
% 1.67/1.84 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #18: input, references = 4, size of lhs = 0:
% 1.67/1.84 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #19: input, references = 4, size of lhs = 0:
% 1.67/1.84 FALSE | EXISTS V0: P_identity-{T}(V0)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #20: input, references = 4, size of lhs = 0:
% 1.67/1.84 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #21: input, references = 4, size of lhs = 0:
% 1.67/1.84 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #22: input, references = 5, size of lhs = 0:
% 1.67/1.84 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #23: input, references = 6, size of lhs = 0:
% 1.67/1.84 FALSE | EXISTS V0: P_d-{T}(V0)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 number of initial rules = 24
% 1.67/1.84
% 1.67/1.84 Simplifiers:
% 1.67/1.84 #24: unsound, references = 3, size of lhs = 3:
% 1.67/1.84 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #25: unsound, references = 3, size of lhs = 3:
% 1.67/1.84 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #26: unsound, references = 3, size of lhs = 3:
% 1.67/1.84 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #27: unsound, references = 3, size of lhs = 3:
% 1.67/1.84 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #28: unsound, references = 3, size of lhs = 3:
% 1.67/1.84 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #29: unsound, references = 3, size of lhs = 3:
% 1.67/1.84 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #30: unsound, references = 3, size of lhs = 3:
% 1.67/1.84 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 number of simplifiers = 7
% 1.67/1.84
% 1.67/1.84 Learnt:
% 1.67/1.84 #35: exists( #17, #0 ), references = 3, size of lhs = 2:
% 1.67/1.84 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #36: exists( #17, #8 ), references = 1, size of lhs = 3:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V0,V2,V0)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #37: exists( #17, #9 ), references = 7, size of lhs = 3:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V2,V0)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #43: mergings( V3 == V4, V4 == V6; #40 ), references = 3, size of lhs = 4:
% 1.67/1.84 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V1,V3), less_equal-{F}(V3,V4) | P_divide-{T}(V2,V4,V1)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #62: mergings( V4 == V1, V1 == V5, V5 == V7, V7 == V8, V3 == V6, V6 == V0; #53 ), references = 1, size of lhs = 3:
% 1.67/1.84 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #80: mergings( V3 == V4, V4 == V5; #77 ), references = 1, size of lhs = 5:
% 1.67/1.84 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V4,V5), P_divide-{F}(V4,V2,V6), P_divide-{F}(V3,V6,V5) | P_divide-{T}(V5,V2,V5)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #84: exists( #17, #13 ), references = 1, size of lhs = 7:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V3,V4), P_b-{F}(V5), V3 == V5 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #87: mergings( V5 == V6, V1 == V7; #83 ), references = 3, size of lhs = 10:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_divide-{F}(V1,V3,V4), P_c-{F}(V5), P_divide-{F}(V1,V5,V6), P_d-{F}(V7), V6 == V7 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #90: exists( #17, #82 ), references = 1, size of lhs = 6:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V4), V3 == V4 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #92: mergings( V1 == V5; #89 ), references = 3, size of lhs = 10:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_divide-{F}(V1,V3,V4), P_c-{F}(V5), P_divide-{F}(V1,V5,V6), P_d-{F}(V7), V6 == V7 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #95: exists( #17, #88 ), references = 2, size of lhs = 4:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_divide-{T}(V1,V2,V3)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #102: mergings( V5 == V6, V1 == V7; #98 ), references = 2, size of lhs = 8:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_divide-{F}(V1,V3,V4), P_c-{F}(V5), V4 == V5 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #106: mergings( V4 == V6, V5 == V7; #103 ), references = 1, size of lhs = 6:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_divide-{F}(V1,V3,V4) | P_c-{T}(V4)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #109: exists( #17, #87 ), references = 5, size of lhs = 8:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_divide-{F}(V1,V3,V4), P_c-{F}(V5), P_d-{F}(V6) | P_divide-{T}(V1,V5,V6)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #110: exists( #17, #92 ), references = 1, size of lhs = 8:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_divide-{F}(V1,V3,V4), P_c-{F}(V5), P_d-{F}(V6) | P_divide-{T}(V1,V5,V6)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #132: mergings( V1 == V3, V3 == V8, V8 == V9, V9 == V11, V2 == V4, V4 == V10; #125 ), references = 1, size of lhs = 7:
% 1.67/1.84 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_zero-{F}(V2), P_identity-{F}(V3), P_divide-{F}(V3,V0,V1), P_divide-{F}(V3,V1,V4) | P_d-{T}(V3)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #157: mergings( V3 == V5, V5 == V1, V1 == V7, V4 == V6; #152 ), references = 2, size of lhs = 3:
% 1.67/1.84 P_identity-{F}(V0), P_zero-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V1,V2)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #162: exists( #17, #87 ), references = 1, size of lhs = 9:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V1,V4,V5), P_d-{F}(V6), V5 == V6 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #163: exists( #17, #92 ), references = 1, size of lhs = 9:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V1,V4,V5), P_d-{F}(V6), V5 == V6 | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #166: exists( #23, #160 ), references = 1, size of lhs = 7:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V1,V4,V5) | P_d-{T}(V5)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #167: exists( #23, #161 ), references = 1, size of lhs = 7:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V1,V4,V5) | P_d-{T}(V5)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #169: exists( #17, #102 ), references = 3, size of lhs = 6:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_b-{F}(V3), P_c-{F}(V4) | P_divide-{T}(V1,V3,V4)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #224: mergings( V3 == V5, V5 == V6; #221 ), references = 1, size of lhs = 8:
% 1.67/1.84 P_identity-{F}(V0), P_zero-{F}(V1), less_equal-{F}(V2,V3), P_divide-{F}(V3,V4,V5), P_divide-{F}(V6,V4,V7), P_divide-{F}(V6,V8,V2), P_divide-{F}(V8,V4,V9), P_divide-{F}(V7,V9,V5) | P_divide-{T}(V2,V4,V5)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #242: mergings( V1 == V3, V3 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V2 == V4, V18 == V20, V4 == V10, V10 == V12; #230 ), references = 1, size of lhs = 12:
% 1.67/1.84 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_identity-{F}(V3), P_divide-{F}(V3,V0,V1), P_divide-{F}(V3,V1,V4), P_zero-{F}(V5), less_equal-{F}(V6,V2), P_divide-{F}(V3,V7,V6), P_divide-{F}(V3,V8,V7), P_divide-{F}(V2,V8,V9), P_divide-{F}(V7,V9,V7) | P_d-{T}(V7)
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #282: mergings( V27 == V28, V2 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V23, V1 == V6, V6 == V9, V9 == V13, V13 == V15, V15 == V24, V22 == V28, V4 == V11, V11 == V21, V21 == V25; #257 ), references = 1, size of lhs = 8:
% 1.67/1.84 P_b-{F}(V0), less_equal-{F}(V0,V0), P_zero-{F}(V1), P_divide-{F}(V0,V1,V0), P_identity-{F}(V2), P_a-{F}(V3), P_divide-{F}(V2,V3,V0), P_divide-{F}(V2,V4,V0) | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #306: mergings( V27 == V28, V2 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V22, V1 == V6, V6 == V9, V9 == V13, V13 == V15, V15 == V23, V24 == V28, V4 == V11, V11 == V21, V21 == V25; #258 ), references = 1, size of lhs = 8:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2), P_divide-{F}(V2,V0,V2), less_equal-{F}(V2,V2), P_a-{F}(V3), P_divide-{F}(V1,V3,V2), P_divide-{F}(V1,V4,V2) | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #338: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V1 == V2, V2 == V5, V5 == V9, V9 == V14, V14 == V16, V16 == V23; #315 ), references = 1, size of lhs = 3:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #362: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V1 == V2, V2 == V5, V5 == V9, V9 == V14, V14 == V16, V16 == V23; #339 ), references = 1, size of lhs = 2:
% 1.67/1.84 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #380: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #363 ), references = 1, size of lhs = 1:
% 1.67/1.84 P_zero-{F}(V0) | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 #383: exists( #18, #363 ), references = 1, size of lhs = 0:
% 1.67/1.84 FALSE | FALSE
% 1.67/1.84 (used 0 times, uses = {})
% 1.67/1.84
% 1.67/1.84 number of learnt formulas = 30
% 1.67/1.84
% 1.67/1.84
% 1.67/1.84 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/1.84
% 1.67/1.84 randbase = 1
%------------------------------------------------------------------------------