TSTP Solution File: RNG004-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:14:50 EDT 2022
% Result : Unsatisfiable 2.76s 2.96s
% Output : Refutation 2.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 07:44:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.76/2.96 GeoParameters:
% 2.76/2.96
% 2.76/2.96 tptp_input = 1
% 2.76/2.96 tptp_output = 0
% 2.76/2.96 nonempty = 1
% 2.76/2.96 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.76/2.96 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.76/2.96
% 2.76/2.96
% 2.76/2.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.76/2.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.76/2.96
% 2.76/2.96 RuleSystem INPUT:
% 2.76/2.96
% 2.76/2.96 Initial Rules:
% 2.76/2.96 #0: input, references = 14, size of lhs = 2:
% 2.76/2.96 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #1: input, references = 8, size of lhs = 2:
% 2.76/2.96 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #2: input, references = 17, size of lhs = 2:
% 2.76/2.96 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #3: input, references = 4, size of lhs = 2:
% 2.76/2.96 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #4: input, references = 11, size of lhs = 2:
% 2.76/2.96 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #5: input, references = 10, size of lhs = 2:
% 2.76/2.96 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #6: input, references = 10, size of lhs = 4:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), sum-{F}(V5,V2,V4), sum-{F}(V6,V5,V1) | sum-{T}(V6,V4,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #7: input, references = 3, size of lhs = 4:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V5,V2,V4), sum-{F}(V6,V5,V1), sum-{F}(V6,V4,V3) | sum-{T}(V1,V2,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #8: input, references = 5, size of lhs = 2:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #9: input, references = 4, size of lhs = 4:
% 2.76/2.96 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3), product-{F}(V5,V2,V4), product-{F}(V6,V5,V1) | product-{T}(V6,V4,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #10: input, references = 3, size of lhs = 4:
% 2.76/2.96 P_additive_identity-{F}(V0), product-{F}(V5,V2,V4), product-{F}(V6,V5,V1), product-{F}(V6,V4,V3) | product-{T}(V1,V2,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #11: input, references = 10, size of lhs = 5:
% 2.76/2.96 P_additive_identity-{F}(V0), product-{F}(V5,V4,V3), product-{F}(V5,V6,V2), product-{F}(V5,V7,V1), sum-{F}(V7,V6,V4) | sum-{T}(V1,V2,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #12: input, references = 3, size of lhs = 5:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), product-{F}(V5,V6,V2), product-{F}(V5,V7,V1), sum-{F}(V7,V6,V4) | product-{T}(V5,V4,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #13: input, references = 7, size of lhs = 5:
% 2.76/2.96 P_additive_identity-{F}(V0), product-{F}(V4,V5,V3), product-{F}(V6,V5,V2), product-{F}(V7,V5,V1), sum-{F}(V7,V6,V4) | sum-{T}(V1,V2,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #14: input, references = 4, size of lhs = 5:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), product-{F}(V6,V5,V2), product-{F}(V7,V5,V1), sum-{F}(V7,V6,V4) | product-{T}(V4,V5,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #15: input, references = 11, size of lhs = 4:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #16: input, references = 6, size of lhs = 4:
% 2.76/2.96 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #17: input, references = 7, size of lhs = 4:
% 2.76/2.96 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | product-{T}(V1,V2,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #18: input, references = 11, size of lhs = 7:
% 2.76/2.96 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_additive_inverse-{F}(V1,V4), P_additive_inverse-{F}(V2,V5), P_d-{F}(V6) | product-{T}(V4,V5,V6)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #19: input, references = 4, size of lhs = 7:
% 2.76/2.96 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V6), P_additive_inverse-{F}(V1,V4), P_additive_inverse-{F}(V2,V5), P_d-{F}(V6) | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #20: input, references = 4, size of lhs = 0:
% 2.76/2.96 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #21: input, references = 7, size of lhs = 2:
% 2.76/2.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #22: input, references = 4, size of lhs = 2:
% 2.76/2.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #23: input, references = 18, size of lhs = 1:
% 2.76/2.96 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #24: input, references = 4, size of lhs = 0:
% 2.76/2.96 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #25: input, references = 5, size of lhs = 0:
% 2.76/2.96 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #26: input, references = 7, size of lhs = 0:
% 2.76/2.96 FALSE | EXISTS V0: P_c-{T}(V0)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #27: input, references = 7, size of lhs = 0:
% 2.76/2.96 FALSE | EXISTS V0: P_d-{T}(V0)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 number of initial rules = 28
% 2.76/2.96
% 2.76/2.96 Simplifiers:
% 2.76/2.96 #28: unsound, references = 3, size of lhs = 3:
% 2.76/2.96 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #29: unsound, references = 3, size of lhs = 3:
% 2.76/2.96 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #30: unsound, references = 3, size of lhs = 3:
% 2.76/2.96 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #31: unsound, references = 3, size of lhs = 3:
% 2.76/2.96 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #32: unsound, references = 3, size of lhs = 3:
% 2.76/2.96 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #33: unsound, references = 3, size of lhs = 3:
% 2.76/2.96 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #34: unsound, references = 3, size of lhs = 3:
% 2.76/2.96 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #35: unsound, references = 3, size of lhs = 3:
% 2.76/2.96 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 number of simplifiers = 8
% 2.76/2.96
% 2.76/2.96 Learnt:
% 2.76/2.96 #42: mergings( V2 == V3, V3 == V4; #39 ), references = 6, size of lhs = 4:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V1), sum-{F}(V0,V2,V3), V0 == V3 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #51: mergings( V1 == V4, V4 == V5; #48 ), references = 2, size of lhs = 4:
% 2.76/2.96 P_a-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V1), P_additive_identity-{F}(V2) | P_c-{T}(V2)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #55: exists( #23, #19 ), references = 2, size of lhs = 6:
% 2.76/2.96 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V3), P_additive_inverse-{F}(V2,V4) | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #57: exists( #23, #54 ), references = 3, size of lhs = 5:
% 2.76/2.96 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V3) | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #62: mergings( V3 == V4; #60 ), references = 1, size of lhs = 2:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | P_add-{T}(V1,V2,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #72: mergings( V0 == V2, V2 == V3; #69 ), references = 1, size of lhs = 1:
% 2.76/2.96 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #76: mergings( V1 == V7; #74 ), references = 2, size of lhs = 7:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V0,V3), P_additive_inverse-{F}(V1,V4), P_additive_identity-{F}(V5), product-{F}(V3,V4,V6) | P_d-{T}(V6)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #93: mergings( V1 == V4, V4 == V7, V7 == V8, V2 == V5, V5 == V9, V3 == V6, V6 == V10; #83 ), references = 2, size of lhs = 5:
% 2.76/2.96 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V1), P_b-{F}(V2), P_additive_inverse-{F}(V2,V2) | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #117: mergings( V2 == V3, V3 == V4, V4 == V5; #113 ), references = 2, size of lhs = 3:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V0), sum-{F}(V0,V2,V3) | P_additive_inverse-{T}(V1,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #138: mergings( V3 == V4, V4 == V5; #135 ), references = 4, size of lhs = 3:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V1,V1,V1), #-{F} V2 | P_multiply-{T}(V1,V2,V0)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #144: mergings( V2 == V7, V7 == V8; #141 ), references = 1, size of lhs = 9:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V1,V3), sum-{F}(V3,V3,V3), P_d-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V5,V4,V6), V5 == V6 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #149: mergings( V1 == V6, V6 == V7; #146 ), references = 1, size of lhs = 6:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V1,V3), sum-{F}(V3,V3,V3), P_additive_identity-{F}(V4) | P_d-{T}(V4)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #158: mergings( V1 == V4, V4 == V5; #155 ), references = 1, size of lhs = 4:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V1,V1), P_additive_identity-{F}(V2) | P_c-{T}(V2)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #204: mergings( V2 == V3, V3 == V8, V8 == V9, V9 == V10, V10 == V11; #198 ), references = 1, size of lhs = 14:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V0,V3), P_d-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V4,V4,V6), sum-{F}(V3,V3,V7), product-{F}(V7,V1,V8), product-{F}(V7,V5,V9), sum-{F}(V6,V10,V11), sum-{F}(V9,V10,V12), sum-{F}(V8,V11,V13), V13 == V12 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #212: mergings( V3 == V4, V4 == V5; #209 ), references = 5, size of lhs = 3:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V1,V1,V1), #-{F} V2 | P_multiply-{T}(V2,V1,V0)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #231: mergings( V2 == V3, V3 == V7, V7 == V8, V4 == V9, V8 == V5; #224 ), references = 1, size of lhs = 6:
% 2.76/2.96 P_c-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V2), sum-{F}(V2,V2,V2), P_b-{F}(V3) | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #243: mergings( V2 == V3, V3 == V6, V6 == V7, V1 == V4, V4 == V8; #235 ), references = 1, size of lhs = 5:
% 2.76/2.96 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V1,V1,V1), P_additive_inverse-{F}(V1,V2), sum-{F}(V2,V2,V2) | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #272: mergings( V2 == V3, V3 == V4, V4 == V9, V9 == V10; #267 ), references = 1, size of lhs = 10:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V1,V3), P_d-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V6,V6,V6), product-{F}(V3,V7,V6), product-{F}(V4,V7,V8), V5 == V8 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #298: mergings( V2 == V3, V3 == V8, V8 == V9, V9 == V10, V0 == V7, V4 == V11, V6 == V11; #290 ), references = 1, size of lhs = 9:
% 2.76/2.96 P_c-{F}(V0), P_d-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V1,V1), P_b-{F}(V3), P_additive_inverse-{F}(V3,V3), sum-{F}(V3,V3,V4), sum-{F}(V4,V4,V4) | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #331: mergings( V2 == V3, V3 == V8, V8 == V9, V9 == V10, V10 == V11; #325 ), references = 2, size of lhs = 12:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V1,V3), P_d-{F}(V4), P_additive_identity-{F}(V5), product-{F}(V0,V3,V6), product-{F}(V5,V3,V7), sum-{F}(V6,V8,V9), sum-{F}(V7,V8,V10), sum-{F}(V4,V9,V11), V11 == V10 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #365: mergings( V3 == V4; #363 ), references = 1, size of lhs = 2:
% 2.76/2.96 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #437: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #431 ), references = 4, size of lhs = 6:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V0), product-{F}(V3,V4,V1), sum-{F}(V3,V5,V6), product-{F}(V6,V4,V7), sum-{F}(V7,V2,V8) | P_multiply-{T}(V5,V4,V8)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #493: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V12, V12 == V13, V13 == V14; #483 ), references = 2, size of lhs = 16:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V1,V3), P_d-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V6,V6,V6), sum-{F}(V3,V7,V6), product-{F}(V0,V7,V8), sum-{F}(V8,V9,V5), product-{F}(V5,V7,V10), sum-{F}(V10,V9,V11), sum-{F}(V11,V12,V13), sum-{F}(V5,V12,V14), sum-{F}(V4,V13,V15), V15 == V14 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #507: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V18, V9 == V16, V10 == V17; #484 ), references = 1, size of lhs = 18:
% 2.76/2.96 P_a-{F}(V0), P_d-{F}(V0), P_b-{F}(V1), P_additive_inverse-{F}(V1,V2), P_c-{F}(V3), P_additive_identity-{F}(V4), product-{F}(V4,V2,V4), product-{F}(V4,V2,V5), sum-{F}(V5,V0,V6), sum-{F}(V7,V7,V7), sum-{F}(V2,V8,V7), product-{F}(V0,V8,V9), sum-{F}(V9,V10,V4), product-{F}(V4,V8,V11), sum-{F}(V11,V10,V12), sum-{F}(V12,V13,V4), sum-{F}(V4,V13,V14), V14 == V6 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #528: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V13, V13 == V14, V14 == V15; #516 ), references = 2, size of lhs = 11:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), product-{F}(V0,V1,V1), P_c-{F}(V2), P_d-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V4,V4,V4), product-{F}(V4,V1,V4), sum-{F}(V4,V1,V5), sum-{F}(V3,V4,V6), V6 == V5 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #542: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V17, V10 == V16; #517 ), references = 1, size of lhs = 11:
% 2.76/2.96 P_a-{F}(V0), P_d-{F}(V0), P_b-{F}(V1), product-{F}(V0,V1,V1), P_c-{F}(V2), P_additive_identity-{F}(V3), product-{F}(V3,V1,V3), sum-{F}(V3,V3,V3), sum-{F}(V3,V0,V4), sum-{F}(V3,V1,V5), V5 == V4 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #545: exists( #27, #543 ), references = 1, size of lhs = 8:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), product-{F}(V0,V1,V1), P_c-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V3,V3), product-{F}(V3,V1,V3), sum-{F}(V3,V1,V4) | P_d-{T}(V4)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #560: mergings( V2 == V3, V3 == V9; #557 ), references = 1, size of lhs = 13:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V1,V3), P_d-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V4,V5,V6), product-{F}(V5,V7,V5), sum-{F}(V3,V7,V8), sum-{F}(V8,V8,V8), product-{F}(V0,V7,V9), sum-{F}(V5,V9,V10), V6 == V10 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #566: mergings( V2 == V3, V3 == V4, V4 == V8; #562 ), references = 2, size of lhs = 11:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V4,V4,V4), product-{F}(V4,V1,V4), sum-{F}(V3,V4,V5), product-{F}(V0,V1,V6), sum-{F}(V4,V6,V7), V5 == V7 | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #569: exists( #27, #567 ), references = 2, size of lhs = 8:
% 2.76/2.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V3,V3), product-{F}(V3,V1,V3), product-{F}(V0,V1,V4), sum-{F}(V3,V4,V5) | P_d-{T}(V5)
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #580: mergings( V1 == V4, V4 == V5, V2 == V6, V3 == V7; #575 ), references = 2, size of lhs = 5:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), product-{F}(V0,V2,V0) | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #585: mergings( V1 == V2; #583 ), references = 1, size of lhs = 3:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_a-{F}(V1) | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #588: mergings( V1 == V2; #586 ), references = 1, size of lhs = 2:
% 2.76/2.96 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0) | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 #591: exists( #20, #589 ), references = 1, size of lhs = 0:
% 2.76/2.96 FALSE | FALSE
% 2.76/2.96 (used 0 times, uses = {})
% 2.76/2.96
% 2.76/2.96 number of learnt formulas = 34
% 2.76/2.96
% 2.76/2.96
% 2.76/2.96 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.76/2.96
% 2.76/2.96 randbase = 1
%------------------------------------------------------------------------------