TSTP Solution File: HEN009-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN009-3 : 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 06:04:44 EDT 2022
% Result : Unsatisfiable 1.97s 2.14s
% Output : Refutation 1.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN009-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 21:00:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.97/2.14 GeoParameters:
% 1.97/2.14
% 1.97/2.14 tptp_input = 1
% 1.97/2.14 tptp_output = 0
% 1.97/2.14 nonempty = 1
% 1.97/2.14 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.97/2.14 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.97/2.14
% 1.97/2.14
% 1.97/2.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.97/2.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.97/2.14
% 1.97/2.14 RuleSystem INPUT:
% 1.97/2.14
% 1.97/2.14 Initial Rules:
% 1.97/2.14 #0: input, references = 5, size of lhs = 4:
% 1.97/2.14 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #1: input, references = 11, size of lhs = 2:
% 1.97/2.14 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #2: input, references = 11, size of lhs = 2:
% 1.97/2.14 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #3: input, references = 4, size of lhs = 6:
% 1.97/2.14 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)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #4: input, references = 13, size of lhs = 2:
% 1.97/2.14 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #5: input, references = 11, size of lhs = 4:
% 1.97/2.14 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #6: input, references = 11, size of lhs = 3:
% 1.97/2.14 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #7: input, references = 5, size of lhs = 6:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #8: input, references = 4, size of lhs = 8:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #9: input, references = 4, size of lhs = 10:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #10: input, references = 6, size of lhs = 12:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #11: input, references = 4, size of lhs = 11:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #12: input, references = 18, size of lhs = 2:
% 1.97/2.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #13: input, references = 4, size of lhs = 0:
% 1.97/2.14 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #14: input, references = 4, size of lhs = 0:
% 1.97/2.14 FALSE | EXISTS V0: P_identity-{T}(V0)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #15: input, references = 4, size of lhs = 0:
% 1.97/2.14 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #16: input, references = 5, size of lhs = 0:
% 1.97/2.14 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #17: input, references = 5, size of lhs = 0:
% 1.97/2.14 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #18: input, references = 6, size of lhs = 0:
% 1.97/2.14 FALSE | EXISTS V0: P_d-{T}(V0)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 number of initial rules = 19
% 1.97/2.14
% 1.97/2.14 Simplifiers:
% 1.97/2.14 #19: unsound, references = 3, size of lhs = 3:
% 1.97/2.14 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #20: unsound, references = 3, size of lhs = 3:
% 1.97/2.14 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #21: unsound, references = 3, size of lhs = 3:
% 1.97/2.14 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #22: unsound, references = 3, size of lhs = 3:
% 1.97/2.14 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #23: unsound, references = 3, size of lhs = 3:
% 1.97/2.14 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #24: unsound, references = 3, size of lhs = 3:
% 1.97/2.14 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #25: unsound, references = 3, size of lhs = 3:
% 1.97/2.14 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 number of simplifiers = 7
% 1.97/2.14
% 1.97/2.14 Learnt:
% 1.97/2.14 #28: exists( #12, #0 ), references = 19, size of lhs = 2:
% 1.97/2.14 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #35: exists( #12, #8 ), references = 1, size of lhs = 7:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #38: mergings( V5 == V6, V1 == V7; #33 ), references = 2, size of lhs = 8:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #41: mergings( V5 == V6, V1 == V7; #34 ), references = 4, size of lhs = 10:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #45: exists( #12, #32 ), references = 2, size of lhs = 6:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #47: mergings( V1 == V5; #43 ), references = 1, size of lhs = 8:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #49: mergings( V1 == V5; #44 ), references = 4, size of lhs = 10:
% 1.97/2.14 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
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #53: exists( #12, #42 ), references = 3, size of lhs = 4:
% 1.97/2.14 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_divide-{T}(V1,V2,V3)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #54: exists( #12, #43 ), references = 1, size of lhs = 5:
% 1.97/2.14 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3) | P_divide-{T}(V1,V2,V3)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #55: exists( #12, #44 ), references = 1, size of lhs = 6:
% 1.97/2.14 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V3) | P_divide-{T}(V1,V2,V3)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #59: exists( #12, #38 ), references = 5, size of lhs = 6:
% 1.97/2.14 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)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #64: exists( #18, #41 ), references = 1, size of lhs = 8:
% 1.97/2.14 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-{T}(V6)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #65: exists( #18, #49 ), references = 1, size of lhs = 8:
% 1.97/2.14 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-{T}(V6)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #68: mergings( V4 == V7, V5 == V8; #63 ), references = 1, size of lhs = 9:
% 1.97/2.14 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_divide-{F}(V1,V4,V5), P_c-{F}(V6), P_divide-{F}(V1,V6,V7) | P_d-{T}(V7)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #75: mergings( V3 == V4, V4 == V5; #72 ), references = 13, size of lhs = 5:
% 1.97/2.14 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)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #93: mergings( V1 == V2, V2 == V6, V6 == V7; #89 ), references = 1, size of lhs = 8:
% 1.97/2.14 P_identity-{F}(V0), P_a-{F}(V1), P_divide-{F}(V0,V1,V2), P_b-{F}(V2), P_zero-{F}(V3), P_divide-{F}(V4,V2,V3), P_divide-{F}(V0,V4,V5), P_divide-{F}(V5,V2,V3) | P_c-{T}(V3)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #109: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #100 ), references = 1, size of lhs = 5:
% 1.97/2.14 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V1,V1,V2), P_divide-{F}(V2,V0,V0) | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #115: exists( #12, #41 ), references = 5, size of lhs = 8:
% 1.97/2.14 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)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #116: exists( #12, #49 ), references = 1, size of lhs = 8:
% 1.97/2.14 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)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #152: mergings( V3 == V4, V4 == V5; #149 ), references = 4, size of lhs = 4:
% 1.97/2.14 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V0), P_divide-{F}(V4,V1,V3) | P_divide-{T}(V4,V2,V0)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #167: mergings( V1 == V2, V2 == V3, V3 == V8, V8 == V9, V9 == V10, V10 == V11; #160 ), references = 1, size of lhs = 9:
% 1.97/2.14 P_c-{F}(V0), 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_divide-{F}(V1,V1,V5), P_divide-{F}(V5,V0,V0) | P_d-{T}(V1)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #210: mergings( V3 == V4, V4 == V5, V5 == V6; #205 ), references = 1, size of lhs = 9:
% 1.97/2.14 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V0,V2,V0), P_b-{F}(V3), V0 == V3, P_divide-{F}(V4,V5,V1), P_divide-{F}(V4,V2,V6), P_divide-{F}(V6,V5,V0) | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #213: mergings( V3 == V5, V5 == V6; #204 ), references = 1, size of lhs = 5:
% 1.97/2.14 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)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #257: mergings( V3 == V4, V4 == V5; #254 ), references = 7, size of lhs = 7:
% 1.97/2.14 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)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #318: mergings( V3 == V4, V4 == V5; #315 ), references = 1, size of lhs = 4:
% 1.97/2.14 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V2,V2,V3), V3 == V0 | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #322: mergings( V2 == V3, V3 == V4; #319 ), references = 2, size of lhs = 2:
% 1.97/2.14 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | P_divide-{T}(V2,V2,V0)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #353: mergings( V3 == V4, V4 == V5; #350 ), references = 1, size of lhs = 4:
% 1.97/2.14 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)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #364: exists( #12, #41 ), references = 1, size of lhs = 8:
% 1.97/2.14 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)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #365: exists( #12, #49 ), references = 1, size of lhs = 8:
% 1.97/2.14 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)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #368: mergings( V5 == V6, V1 == V7; #363 ), references = 1, size of lhs = 8:
% 1.97/2.14 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,V3,V4), P_d-{F}(V5) | P_divide-{T}(V1,V4,V5)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #412: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #406 ), references = 1, size of lhs = 15:
% 1.97/2.14 P_zero-{F}(V0), less_equal-{F}(V1,V2), V1 == V2, P_divide-{F}(V3,V1,V0), P_divide-{F}(V4,V1,V0), P_divide-{F}(V5,V1,V0), P_divide-{F}(V6,V1,V0), P_divide-{F}(V1,V7,V8), P_divide-{F}(V8,V9,V0), P_divide-{F}(V7,V9,V2), P_divide-{F}(V10,V9,V2), P_divide-{F}(V9,V10,V3), P_divide-{F}(V11,V10,V4), P_divide-{F}(V10,V11,V5), P_divide-{F}(V11,V9,V6) | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #434: mergings( V1 == V2, V2 == V4, V4 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V3 == V5, V20 == V17; #421 ), references = 1, size of lhs = 18:
% 1.97/2.14 P_identity-{F}(V0), P_a-{F}(V1), P_divide-{F}(V0,V1,V2), P_b-{F}(V2), P_divide-{F}(V0,V2,V3), P_c-{F}(V4), P_divide-{F}(V4,V0,V5), P_zero-{F}(V5), P_divide-{F}(V0,V0,V5), P_divide-{F}(V5,V4,V5), P_divide-{F}(V5,V6,V5), P_divide-{F}(V6,V0,V5), P_divide-{F}(V4,V6,V5), P_divide-{F}(V0,V6,V7), P_divide-{F}(V7,V0,V8), P_divide-{F}(V8,V4,V5), P_divide-{F}(V0,V7,V9), P_divide-{F}(V9,V4,V5) | P_d-{T}(V7)
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #482: mergings( V7 == V27, V20 == V28, V1 == V26, V26 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V27, V14 == V27, V8 == V10, V10 == V12, V12 == V13, V13 == V27, V27 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V24, V9 == V23, V4 == V11, V11 == V22, V22 == V25; #457 ), references = 1, size of lhs = 12:
% 1.97/2.14 P_b-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V1,V2), P_zero-{F}(V2), P_divide-{F}(V1,V1,V2), P_divide-{F}(V2,V0,V2), P_divide-{F}(V0,V0,V2), P_divide-{F}(V2,V3,V2), P_divide-{F}(V3,V1,V2), P_divide-{F}(V1,V3,V0), P_a-{F}(V4), P_divide-{F}(V1,V4,V0) | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #506: mergings( V7 == V27, V20 == V28, V1 == V26, V26 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V27, V14 == V27, V8 == V10, V10 == V12, V12 == V13, V13 == V27, V27 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V9 == V24, V4 == V11, V11 == V22, V22 == V25; #458 ), references = 1, size of lhs = 12:
% 1.97/2.14 P_b-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V1,V0,V1), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V1), P_identity-{F}(V3), P_divide-{F}(V0,V3,V1), P_divide-{F}(V3,V3,V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V3,V2,V0), P_a-{F}(V4), P_divide-{F}(V3,V4,V0) | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #540: mergings( V4 == V1, V1 == V22, V8 == V22, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V22, V22 == V9, V9 == V10, V10 == V11, V15 == V13, V11 == V12, V12 == V14, V14 == V13, V13 == V16, V16 == V17, V17 == V19, V19 == V20; #519 ), references = 1, size of lhs = 6:
% 1.97/2.14 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V1), P_divide-{F}(V1,V2,V1) | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #583: mergings( V4 == V8, V8 == V11, V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V18, V18 == V19; #564 ), references = 2, size of lhs = 3:
% 1.97/2.14 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_zero-{F}(V1) | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #588: mergings( V1 == V2; #586 ), references = 1, size of lhs = 1:
% 1.97/2.14 P_zero-{F}(V0) | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 #590: exists( #13, #586 ), references = 1, size of lhs = 0:
% 1.97/2.14 FALSE | FALSE
% 1.97/2.14 (used 0 times, uses = {})
% 1.97/2.14
% 1.97/2.14 number of learnt formulas = 38
% 1.97/2.14
% 1.97/2.14
% 1.97/2.14 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.97/2.14
% 1.97/2.14 randbase = 1
%------------------------------------------------------------------------------