TSTP Solution File: RNG004-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG004-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:14:51 EDT 2022
% Result : Unsatisfiable 1.78s 1.94s
% Output : Refutation 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 07:45:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.78/1.94 GeoParameters:
% 1.78/1.94
% 1.78/1.94 tptp_input = 1
% 1.78/1.94 tptp_output = 0
% 1.78/1.94 nonempty = 1
% 1.78/1.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.78/1.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.78/1.94
% 1.78/1.94
% 1.78/1.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.78/1.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.78/1.94
% 1.78/1.94 RuleSystem INPUT:
% 1.78/1.94
% 1.78/1.94 Initial Rules:
% 1.78/1.94 #0: input, references = 5, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #1: input, references = 8, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #2: input, references = 30, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #3: input, references = 4, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #4: input, references = 15, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #5: input, references = 12, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #6: input, references = 3, size of lhs = 4:
% 1.78/1.94 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)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #7: input, references = 3, size of lhs = 4:
% 1.78/1.94 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)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #8: input, references = 3, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #9: input, references = 4, size of lhs = 4:
% 1.78/1.94 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)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #10: input, references = 3, size of lhs = 4:
% 1.78/1.94 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)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #11: input, references = 10, size of lhs = 5:
% 1.78/1.94 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)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #12: input, references = 3, size of lhs = 5:
% 1.78/1.94 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)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #13: input, references = 10, size of lhs = 5:
% 1.78/1.94 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)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #14: input, references = 8, size of lhs = 5:
% 1.78/1.94 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)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #15: input, references = 6, size of lhs = 4:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #16: input, references = 9, size of lhs = 4:
% 1.78/1.94 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #17: input, references = 10, size of lhs = 4:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V4,V1,V3), sum-{F}(V4,V2,V3), V1 == V2 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #18: input, references = 6, size of lhs = 4:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V3,V1,V2), sum-{F}(V4,V1,V2), V4 == V3 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #19: input, references = 8, size of lhs = 4:
% 1.78/1.94 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | product-{T}(V1,V2,V3)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #20: input, references = 15, size of lhs = 7:
% 1.78/1.94 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)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #21: input, references = 5, size of lhs = 7:
% 1.78/1.94 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
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #22: input, references = 4, size of lhs = 0:
% 1.78/1.94 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #23: input, references = 9, size of lhs = 2:
% 1.78/1.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #24: input, references = 4, size of lhs = 2:
% 1.78/1.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #25: input, references = 15, size of lhs = 1:
% 1.78/1.94 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #26: input, references = 4, size of lhs = 0:
% 1.78/1.94 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #27: input, references = 5, size of lhs = 0:
% 1.78/1.94 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #28: input, references = 7, size of lhs = 0:
% 1.78/1.94 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #29: input, references = 8, size of lhs = 0:
% 1.78/1.94 FALSE | EXISTS V0: P_d-{T}(V0)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 number of initial rules = 30
% 1.78/1.94
% 1.78/1.94 Simplifiers:
% 1.78/1.94 #30: unsound, references = 3, size of lhs = 3:
% 1.78/1.94 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #31: unsound, references = 3, size of lhs = 3:
% 1.78/1.94 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #32: unsound, references = 3, size of lhs = 3:
% 1.78/1.94 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #33: unsound, references = 3, size of lhs = 3:
% 1.78/1.94 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #34: unsound, references = 3, size of lhs = 3:
% 1.78/1.94 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #35: unsound, references = 3, size of lhs = 3:
% 1.78/1.94 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #36: unsound, references = 3, size of lhs = 3:
% 1.78/1.94 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #37: unsound, references = 3, size of lhs = 3:
% 1.78/1.94 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 number of simplifiers = 8
% 1.78/1.94
% 1.78/1.94 Learnt:
% 1.78/1.94 #53: mergings( V1 == V2, V2 == V5, V5 == V6; #48 ), references = 2, size of lhs = 4:
% 1.78/1.94 P_a-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V1), P_additive_identity-{F}(V2) | P_c-{T}(V2)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #60: mergings( V2 == V3; #57 ), references = 1, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V0) | P_additive_inverse-{T}(V1,V2)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #62: mergings( V2 == V3; #58 ), references = 1, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V0) | P_additive_inverse-{T}(V2,V1)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #66: mergings( V1 == V7; #64 ), references = 1, size of lhs = 7:
% 1.78/1.94 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)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #79: mergings( V1 == V4, V4 == V7, V7 == V8, V2 == V5, V5 == V9, V9 == V11, V3 == V6, V6 == V10, V10 == V12; #69 ), references = 1, size of lhs = 5:
% 1.78/1.94 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
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #88: mergings( V3 == V4; #86 ), references = 1, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | P_add-{T}(V1,V2,V3)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #95: mergings( V3 == V4; #93 ), references = 1, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #119: mergings( V3 == V4, V4 == V5, V5 == V6; #114 ), references = 6, size of lhs = 3:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V1,V1,V1), #-{F} V2 | P_multiply-{T}(V2,V1,V0)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #124: exists( #25, #21 ), references = 3, size of lhs = 6:
% 1.78/1.94 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}(V1,V4) | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #146: mergings( V2 == V3, V3 == V8, V8 == V9; #140 ), references = 1, size of lhs = 10:
% 1.78/1.94 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), product-{F}(V3,V1,V6), product-{F}(V3,V5,V7), sum-{F}(V6,V4,V8), V8 == V7 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #150: mergings( V2 == V3, V3 == V8, V8 == V9; #141 ), references = 2, size of lhs = 10:
% 1.78/1.94 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), product-{F}(V3,V1,V6), product-{F}(V3,V5,V7), sum-{F}(V6,V8,V7), V8 == V4 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #155: mergings( V1 == V2, V2 == V7, V7 == V8; #151 ), references = 1, size of lhs = 8:
% 1.78/1.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V0,V3), P_additive_identity-{F}(V4), product-{F}(V3,V1,V5), product-{F}(V3,V4,V6), sum-{F}(V5,V7,V6) | P_d-{T}(V7)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #170: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V1 == V4, V4 == V7, V7 == V12, V12 == V13; #159 ), references = 1, size of lhs = 6:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V1), P_a-{F}(V2), sum-{F}(V2,V2,V2), product-{F}(V2,V0,V1), P_additive_inverse-{F}(V2,V2) | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #176: exists( #25, #124 ), references = 3, size of lhs = 5:
% 1.78/1.94 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V3) | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #195: mergings( V2 == V3, V3 == V8, V8 == V9; #189 ), references = 3, size of lhs = 10:
% 1.78/1.94 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}(V4,V6,V8), V8 == V7 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #199: mergings( V2 == V3, V3 == V8, V8 == V9; #190 ), references = 3, size of lhs = 10:
% 1.78/1.94 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), sum-{F}(V6,V4,V7), product-{F}(V5,V3,V8), V8 == V7 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #203: mergings( V2 == V3, V3 == V8, V8 == V9; #191 ), references = 2, size of lhs = 10:
% 1.78/1.94 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}(V4,V8,V7), V8 == V6 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #234: mergings( V3 == V4, V4 == V5, V5 == V10; #228 ), references = 2, size of lhs = 12:
% 1.78/1.94 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), sum-{F}(V4,V6,V7), sum-{F}(V8,V8,V5), sum-{F}(V3,V3,V9), product-{F}(V8,V9,V10), V7 == V10 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #238: mergings( V3 == V4, V4 == V5, V5 == V10; #229 ), references = 2, size of lhs = 12:
% 1.78/1.94 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), sum-{F}(V6,V4,V7), sum-{F}(V8,V8,V5), sum-{F}(V3,V3,V9), product-{F}(V8,V9,V10), V10 == V7 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #242: mergings( V3 == V4, V4 == V5, V5 == V10; #230 ), references = 1, size of lhs = 12:
% 1.78/1.94 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), sum-{F}(V7,V7,V5), sum-{F}(V3,V3,V8), product-{F}(V7,V8,V9), sum-{F}(V4,V10,V9), V10 == V6 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #270: mergings( V3 == V4, V4 == V5; #267 ), references = 8, size of lhs = 5:
% 1.78/1.94 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3), sum-{F}(V4,V2,V5), product-{F}(V1,V5,V6), sum-{F}(V7,V3,V6) | P_multiply-{T}(V1,V4,V7)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #326: mergings( V3 == V9; #323 ), references = 1, size of lhs = 10:
% 1.78/1.94 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), sum-{F}(V4,V6,V7), sum-{F}(V8,V8,V5), sum-{F}(V3,V3,V9) | P_multiply-{T}(V8,V9,V7)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #328: mergings( V3 == V9; #324 ), references = 1, size of lhs = 10:
% 1.78/1.94 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), sum-{F}(V6,V4,V7), sum-{F}(V8,V8,V5), sum-{F}(V3,V3,V9) | P_multiply-{T}(V8,V9,V7)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #374: mergings( V3 == V4, V4 == V5, V5 == V6; #368 ), references = 5, size of lhs = 3:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V1,V1,V1), #-{F} V2 | P_multiply-{T}(V1,V2,V0)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #378: mergings( V3 == V4, V4 == V5, V5 == V6; #370 ), references = 2, size of lhs = 4:
% 1.78/1.94 P_additive_identity-{F}(V0), product-{F}(V1,V2,V0), sum-{F}(V3,V1,V4), product-{F}(V4,V2,V5) | P_multiply-{T}(V3,V2,V5)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #403: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V10; #395 ), references = 2, size of lhs = 11:
% 1.78/1.94 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}(V0,V1,V5), product-{F}(V0,V4,V6), sum-{F}(V7,V5,V6), sum-{F}(V3,V7,V8), V8 == V4 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #409: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V10; #396 ), references = 2, size of lhs = 11:
% 1.78/1.94 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}(V0,V1,V5), product-{F}(V0,V4,V6), sum-{F}(V7,V5,V6), sum-{F}(V7,V3,V8), V4 == V8 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #415: mergings( V1 == V5; #412 ), references = 1, size of lhs = 8:
% 1.78/1.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V3,V3), product-{F}(V0,V1,V4), product-{F}(V0,V3,V5), sum-{F}(V3,V4,V5) | P_d-{T}(V3)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #417: mergings( V1 == V5; #413 ), references = 1, size of lhs = 8:
% 1.78/1.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V3,V3), product-{F}(V0,V1,V4), product-{F}(V0,V3,V5), sum-{F}(V3,V4,V5) | P_d-{T}(V3)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #439: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #430 ), references = 1, size of lhs = 10:
% 1.78/1.94 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V3,V3), sum-{F}(V3,V2,V3), product-{F}(V3,V0,V4), product-{F}(V0,V0,V5), V5 == V4 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #474: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #464 ), references = 1, size of lhs = 8:
% 1.78/1.94 P_a-{F}(V0), P_b-{F}(V0), P_d-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V2,V2), product-{F}(V0,V0,V3), V0 == V3 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #482: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #465 ), references = 1, size of lhs = 9:
% 1.78/1.94 P_a-{F}(V0), P_b-{F}(V0), P_d-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V2,V2), product-{F}(V2,V0,V2), product-{F}(V0,V0,V3), V0 == V3 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #491: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11, V4 == V9, V0 == V10; #466 ), references = 1, size of lhs = 9:
% 1.78/1.94 P_a-{F}(V0), P_b-{F}(V0), P_d-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), product-{F}(V2,V0,V2), sum-{F}(V2,V2,V2), product-{F}(V0,V0,V3), V3 == V0 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #525: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #519 ), references = 2, size of lhs = 8:
% 1.78/1.94 P_additive_identity-{F}(V0), product-{F}(V1,V2,V0), product-{F}(V1,V3,V4), sum-{F}(V5,V3,V2), product-{F}(V6,V5,V0), sum-{F}(V7,V1,V6), product-{F}(V7,V5,V8), V8 == V4 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #539: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #530 ), references = 1, size of lhs = 9:
% 1.78/1.94 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V3,V3), product-{F}(V0,V3,V3), product-{F}(V0,V0,V4), V2 == V4 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #549: mergings( V1 == V2, V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #540 ), references = 1, size of lhs = 7:
% 1.78/1.94 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V2,V2), product-{F}(V0,V2,V2), product-{F}(V0,V0,V3) | P_d-{T}(V3)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #565: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V5 == V13, V13 == V14; #552 ), references = 1, size of lhs = 5:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_a-{F}(V1), product-{F}(V1,V0,V0), P_b-{F}(V1) | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #591: mergings( V2 == V3, V3 == V4, V4 == V9; #587 ), references = 1, size of lhs = 11:
% 1.78/1.94 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), product-{F}(V6,V5,V5), sum-{F}(V3,V6,V7), sum-{F}(V7,V7,V7), product-{F}(V6,V1,V8), V4 == V8 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #598: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V9; #593 ), references = 1, size of lhs = 9:
% 1.78/1.94 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}(V0,V4,V4), product-{F}(V0,V1,V5), V3 == V5 | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #604: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V8; #599 ), references = 1, size of lhs = 7:
% 1.78/1.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V3,V3), product-{F}(V0,V3,V3), product-{F}(V0,V1,V4) | P_d-{T}(V4)
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #616: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V9, V6 == V10, V7 == V11; #607 ), references = 1, size of lhs = 5:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_a-{F}(V1), product-{F}(V1,V0,V0), P_b-{F}(V2) | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #625: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V6 == V9; #617 ), references = 2, size of lhs = 4:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_a-{F}(V1), product-{F}(V1,V0,V0) | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #630: mergings( V1 == V2; #628 ), references = 1, size of lhs = 2:
% 1.78/1.94 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0) | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 #633: exists( #22, #631 ), references = 1, size of lhs = 0:
% 1.78/1.94 FALSE | FALSE
% 1.78/1.94 (used 0 times, uses = {})
% 1.78/1.94
% 1.78/1.94 number of learnt formulas = 44
% 1.78/1.94
% 1.78/1.94
% 1.78/1.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.78/1.94
% 1.78/1.94 randbase = 1
%------------------------------------------------------------------------------