TSTP Solution File: RNG041-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 07:31:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 GeoParameters:
% 0.18/0.51
% 0.18/0.51 tptp_input = 1
% 0.18/0.51 tptp_output = 0
% 0.18/0.51 nonempty = 1
% 0.18/0.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 RuleSystem INPUT:
% 0.18/0.51
% 0.18/0.51 Initial Rules:
% 0.18/0.51 #0: input, references = 3, size of lhs = 2:
% 0.18/0.51 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #1: input, references = 3, size of lhs = 2:
% 0.18/0.51 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #2: input, references = 3, size of lhs = 2:
% 0.18/0.51 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #3: input, references = 3, size of lhs = 2:
% 0.18/0.51 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #4: input, references = 3, size of lhs = 2:
% 0.18/0.51 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #5: input, references = 3, size of lhs = 2:
% 0.18/0.51 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #6: input, references = 3, size of lhs = 4:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #7: input, references = 3, size of lhs = 4:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #8: input, references = 3, size of lhs = 2:
% 0.18/0.51 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #9: input, references = 4, size of lhs = 4:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #10: input, references = 3, size of lhs = 4:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #11: input, references = 3, size of lhs = 5:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #12: input, references = 3, size of lhs = 5:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #13: input, references = 3, size of lhs = 5:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #14: input, references = 3, size of lhs = 5:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #15: input, references = 3, size of lhs = 4:
% 0.18/0.51 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #16: input, references = 5, size of lhs = 4:
% 0.18/0.51 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #17: input, references = 4, size of lhs = 2:
% 0.18/0.51 P_additive_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #18: input, references = 3, size of lhs = 2:
% 0.18/0.51 P_additive_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #19: input, references = 4, size of lhs = 3:
% 0.18/0.51 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #20: input, references = 4, size of lhs = 3:
% 0.18/0.51 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #21: input, references = 4, size of lhs = 4:
% 0.18/0.51 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_h-{F}(V2,V3), V2 == V0 | product-{T}(V2,V3,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #22: input, references = 3, size of lhs = 4:
% 0.18/0.51 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_h-{F}(V2,V3), V2 == V0 | product-{T}(V3,V2,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #23: input, references = 5, size of lhs = 4:
% 0.18/0.51 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | product-{T}(V2,V3,V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #24: input, references = 4, size of lhs = 4:
% 0.18/0.51 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V0), P_b-{F}(V3) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #25: input, references = 4, size of lhs = 4:
% 0.18/0.51 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #26: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #27: input, references = 3, size of lhs = 2:
% 0.18/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #28: input, references = 3, size of lhs = 2:
% 0.18/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #29: input, references = 3, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #30: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #31: input, references = 4, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #32: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #33: input, references = 6, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of initial rules = 34
% 0.18/0.51
% 0.18/0.51 Simplifiers:
% 0.18/0.51 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #40: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #41: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of simplifiers = 8
% 0.18/0.51
% 0.18/0.51 Learnt:
% 0.18/0.51 #50: mergings( V1 == V3, V3 == V5, V2 == V4; #46 ), references = 1, size of lhs = 3:
% 0.18/0.51 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_b-{T}(V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #53: exists( #33, #24 ), references = 2, size of lhs = 3:
% 0.18/0.51 P_additive_identity-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #66: mergings( V2 == V3, V3 == V5, V5 == V6; #62 ), references = 1, size of lhs = 6:
% 0.18/0.51 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), product-{F}(V2,V3,V1), V3 == V1, product-{F}(V2,V0,V4), V4 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #73: mergings( V3 == V4, V4 == V6, V6 == V7, V1 == V5; #68 ), references = 1, size of lhs = 5:
% 0.18/0.51 P_a-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), product-{F}(V0,V1,V3), V3 == V2 | P_b-{T}(V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #83: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V7, V2 == V4, V4 == V8; #76 ), references = 1, size of lhs = 2:
% 0.18/0.51 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_a-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #90: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #85 ), references = 1, size of lhs = 1:
% 0.18/0.51 P_additive_identity-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #92: exists( #26, #85 ), references = 1, size of lhs = 0:
% 0.18/0.51 FALSE | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of learnt formulas = 7
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 randbase = 1
%------------------------------------------------------------------------------