TSTP Solution File: RNG040-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG040-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:14:58 EDT 2022
% Result : Unsatisfiable 0.41s 0.61s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG040-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 07:46:46 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.41/0.61 GeoParameters:
% 0.41/0.61
% 0.41/0.61 tptp_input = 1
% 0.41/0.61 tptp_output = 0
% 0.41/0.61 nonempty = 1
% 0.41/0.61 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.61 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.41/0.61
% 0.41/0.61
% 0.41/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.61 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.61
% 0.41/0.61 RuleSystem INPUT:
% 0.41/0.61
% 0.41/0.61 Initial Rules:
% 0.41/0.61 #0: input, references = 7, size of lhs = 2:
% 0.41/0.61 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #1: input, references = 7, size of lhs = 2:
% 0.41/0.61 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #2: input, references = 3, size of lhs = 2:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #3: input, references = 3, size of lhs = 2:
% 0.41/0.61 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #4: input, references = 3, size of lhs = 2:
% 0.41/0.61 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #5: input, references = 3, size of lhs = 2:
% 0.41/0.61 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #6: input, references = 3, size of lhs = 4:
% 0.41/0.61 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)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #7: input, references = 4, size of lhs = 4:
% 0.41/0.61 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)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #8: input, references = 3, size of lhs = 2:
% 0.41/0.61 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #9: input, references = 3, size of lhs = 4:
% 0.41/0.61 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)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #10: input, references = 3, size of lhs = 4:
% 0.41/0.61 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)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #11: input, references = 7, size of lhs = 5:
% 0.41/0.61 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)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #12: input, references = 4, size of lhs = 5:
% 0.41/0.61 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)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #13: input, references = 7, size of lhs = 4:
% 0.41/0.61 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #14: input, references = 7, size of lhs = 4:
% 0.41/0.61 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #15: input, references = 6, size of lhs = 3:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #16: input, references = 5, size of lhs = 3:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #17: input, references = 3, size of lhs = 4:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_h-{F}(V2,V3), V2 == V0 | product-{T}(V2,V3,V1)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #18: input, references = 3, size of lhs = 4:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_h-{F}(V2,V3), V2 == V0 | product-{T}(V3,V2,V1)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #19: input, references = 9, size of lhs = 3:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #20: input, references = 8, size of lhs = 5:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4) | sum-{T}(V2,V3,V4)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #21: input, references = 11, size of lhs = 6:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5) | product-{T}(V4,V5,V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #22: input, references = 6, size of lhs = 7:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), P_l-{F}(V6) | product-{T}(V2,V5,V6)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #23: input, references = 7, size of lhs = 8:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), P_l-{F}(V6), P_n-{F}(V7) | product-{T}(V3,V5,V7)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #24: input, references = 6, size of lhs = 9:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), P_l-{F}(V6), P_n-{F}(V7), sum-{F}(V6,V7,V0) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #25: input, references = 4, size of lhs = 0:
% 0.41/0.61 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #26: input, references = 3, size of lhs = 2:
% 0.41/0.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #27: input, references = 3, size of lhs = 2:
% 0.41/0.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #28: input, references = 3, size of lhs = 1:
% 0.41/0.61 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #29: input, references = 4, size of lhs = 0:
% 0.41/0.61 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #30: input, references = 3, size of lhs = 1:
% 0.41/0.61 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #31: input, references = 5, size of lhs = 0:
% 0.41/0.61 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #32: input, references = 6, size of lhs = 0:
% 0.41/0.61 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #33: input, references = 7, size of lhs = 0:
% 0.41/0.61 FALSE | EXISTS V0: P_d-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #34: input, references = 10, size of lhs = 0:
% 0.41/0.61 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #35: input, references = 7, size of lhs = 0:
% 0.41/0.61 FALSE | EXISTS V0: P_l-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #36: input, references = 5, size of lhs = 0:
% 0.41/0.61 FALSE | EXISTS V0: P_n-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 number of initial rules = 37
% 0.41/0.61
% 0.41/0.61 Simplifiers:
% 0.41/0.61 #37: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #38: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #39: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #40: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #41: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #42: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #43: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #44: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #45: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #46: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #47: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_l-{F}(V0), P_l-{F}(V1), V0 == V1 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #48: unsound, references = 3, size of lhs = 3:
% 0.41/0.61 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 number of simplifiers = 12
% 0.41/0.61
% 0.41/0.61 Learnt:
% 0.41/0.61 #61: mergings( V1 == V2, V2 == V7, V7 == V8; #56 ), references = 3, size of lhs = 8:
% 0.41/0.61 P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_additive_identity-{F}(V4), product-{F}(V3,V4,V5), sum-{F}(V5,V4,V6), V6 == V4 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #65: mergings( V1 == V2, V2 == V7, V7 == V8; #57 ), references = 2, size of lhs = 8:
% 0.41/0.61 P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_additive_identity-{F}(V4), product-{F}(V3,V4,V5), sum-{F}(V4,V5,V6), V4 == V6 | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #74: mergings( V1 == V2, V2 == V3; #70 ), references = 3, size of lhs = 4:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | P_d-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #92: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V9, V9 == V10, V2 == V10, V10 == V7, V5 == V8; #83 ), references = 2, size of lhs = 4:
% 0.41/0.61 P_multiplicative_identity-{F}(V0), sum-{F}(V0,V0,V0), P_additive_identity-{F}(V0), P_b-{F}(V1) | P_c-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #105: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V4; #100 ), references = 1, size of lhs = 3:
% 0.41/0.61 P_multiplicative_identity-{F}(V0), sum-{F}(V0,V0,V0), P_additive_identity-{F}(V0) | P_b-{T}(V0)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #111: mergings( V1 == V7; #109 ), references = 3, size of lhs = 7:
% 0.41/0.61 P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), P_additive_identity-{F}(V5), product-{F}(V1,V4,V6) | P_l-{T}(V6)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #121: mergings( V1 == V8; #117 ), references = 3, size of lhs = 8:
% 0.41/0.61 P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), P_l-{F}(V5), P_additive_identity-{F}(V6), product-{F}(V2,V4,V7) | P_n-{T}(V7)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #127: mergings( V1 == V6, V2 == V8, V3 == V9, V4 == V10, V10 == V5; #118 ), references = 2, size of lhs = 7:
% 0.41/0.61 P_d-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_additive_identity-{F}(V1), P_l-{F}(V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4) | P_n-{T}(V1)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #133: mergings( V1 == V6, V2 == V8, V3 == V9, V4 == V10, V10 == V5; #119 ), references = 1, size of lhs = 7:
% 0.41/0.61 P_d-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_additive_identity-{F}(V1), P_l-{F}(V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4) | P_n-{T}(V1)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #142: mergings( V1 == V3, V3 == V7, V2 == V4; #138 ), references = 1, size of lhs = 5:
% 0.41/0.61 P_d-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V3) | P_a-{T}(V3)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #169: mergings( V1 == V9, V9 == V13, V13 == V14, V2 == V6, V6 == V10, V10 == V15, V3 == V5, V5 == V11, V11 == V16, V4 == V16, V16 == V7, V7 == V17, V17 == V8, V8 == V12, V12 == V18; #153 ), references = 1, size of lhs = 6:
% 0.41/0.61 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V2) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #173: mergings( V1 == V5; #171 ), references = 2, size of lhs = 5:
% 0.41/0.61 P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V1,V2,V4) | P_d-{T}(V4)
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #195: mergings( V1 == V8, V8 == V11, V11 == V12, V2 == V9, V9 == V13, V3 == V10, V10 == V14, V4 == V7, V7 == V15, V5 == V15, V15 == V16, V6 == V12, V12 == V17; #181 ), references = 1, size of lhs = 9:
% 0.41/0.61 P_additive_identity-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V3), product-{F}(V2,V4,V0), sum-{F}(V0,V4,V5), product-{F}(V2,V5,V0) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #224: mergings( V1 == V7, V7 == V14, V14 == V16, V16 == V17, V2 == V8, V8 == V9, V9 == V18, V3 == V10, V10 == V19, V4 == V11, V11 == V20, V5 == V12, V12 == V21, V6 == V13, V13 == V22; #208 ), references = 3, size of lhs = 10:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), product-{F}(V3,V5,V6), product-{F}(V5,V7,V6), sum-{F}(V2,V7,V8), product-{F}(V5,V8,V0) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #247: mergings( V5 == V7, V7 == V12, V12 == V17, V17 == V18, V18 == V19, V1 == V6, V6 == V8, V8 == V13, V13 == V14, V14 == V20, V2 == V9, V9 == V15, V15 == V21, V3 == V4, V4 == V10, V10 == V22, V22 == V11, V11 == V16, V16 == V23; #227 ), references = 2, size of lhs = 6:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), sum-{F}(V2,V3,V3), P_d-{F}(V3) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #255: mergings( V1 == V3, V3 == V4, V2 == V5; #251 ), references = 1, size of lhs = 3:
% 0.41/0.61 P_b-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #273: mergings( V1 == V3, V3 == V9, V9 == V11, V2 == V4, V4 == V5, V5 == V10, V10 == V12, V6 == V13, V12 == V7, V8 == V14; #262 ), references = 1, size of lhs = 6:
% 0.41/0.61 P_c-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), sum-{F}(V2,V0,V3), P_d-{F}(V3) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #287: mergings( V1 == V4, V4 == V5, V5 == V10, V10 == V12, V2 == V3, V3 == V6, V6 == V7, V7 == V11, V11 == V13, V8 == V14, V13 == V9; #275 ), references = 1, size of lhs = 4:
% 0.41/0.61 P_c-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #301: mergings( V1 == V6, V6 == V8, V2 == V7, V7 == V9, V3 == V10, V4 == V12; #294 ), references = 3, size of lhs = 9:
% 0.41/0.61 P_l-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_a-{F}(V6), sum-{F}(V3,V4,V7), product-{F}(V6,V7,V1) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #320: mergings( V5 == V10, V10 == V11, V1 == V6, V6 == V7, V7 == V12, V2 == V4, V4 == V13, V3 == V8, V8 == V14, V13 == V9, V9 == V15; #308 ), references = 1, size of lhs = 6:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_d-{F}(V2), P_c-{F}(V3), sum-{F}(V2,V3,V2) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #323: exists( #35, #301 ), references = 1, size of lhs = 8:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), sum-{F}(V2,V3,V6), product-{F}(V5,V6,V0) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #333: mergings( V5 == V7, V1 == V6, V6 == V8, V2 == V9, V3 == V10, V4 == V11; #326 ), references = 1, size of lhs = 6:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), sum-{F}(V2,V3,V4), P_d-{F}(V4) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #343: mergings( V1 == V6, V6 == V8, V2 == V3, V3 == V7, V7 == V9, V4 == V10, V5 == V11; #335 ), references = 1, size of lhs = 4:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #351: mergings( V1 == V5, V5 == V7, V2 == V3, V3 == V6, V6 == V8, V4 == V9; #344 ), references = 1, size of lhs = 3:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #358: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V5, V5 == V7; #352 ), references = 1, size of lhs = 2:
% 0.41/0.61 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #362: mergings( V1 == V2, V2 == V3; #359 ), references = 1, size of lhs = 1:
% 0.41/0.61 P_additive_identity-{F}(V0) | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 #364: exists( #25, #359 ), references = 1, size of lhs = 0:
% 0.41/0.61 FALSE | FALSE
% 0.41/0.61 (used 0 times, uses = {})
% 0.41/0.61
% 0.41/0.61 number of learnt formulas = 27
% 0.41/0.61
% 0.41/0.61
% 0.41/0.61 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.61
% 0.41/0.61 randbase = 1
%------------------------------------------------------------------------------