TSTP Solution File: RNG008-6 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG008-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:14:52 EDT 2022
% Result : Unsatisfiable 1.29s 1.44s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG008-6 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 07:55:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.29/1.44 GeoParameters:
% 1.29/1.44
% 1.29/1.44 tptp_input = 1
% 1.29/1.44 tptp_output = 0
% 1.29/1.44 nonempty = 1
% 1.29/1.44 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.29/1.44 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.29/1.44
% 1.29/1.44
% 1.29/1.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.29/1.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.29/1.44
% 1.29/1.44 RuleSystem INPUT:
% 1.29/1.44
% 1.29/1.44 Initial Rules:
% 1.29/1.44 #0: input, references = 8, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #1: input, references = 5, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #2: input, references = 10, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #3: input, references = 10, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #4: input, references = 8, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #5: input, references = 3, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #6: input, references = 9, size of lhs = 4:
% 1.29/1.44 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)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #7: input, references = 6, size of lhs = 4:
% 1.29/1.44 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)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #8: input, references = 11, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #9: input, references = 3, size of lhs = 4:
% 1.29/1.44 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)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #10: input, references = 6, size of lhs = 4:
% 1.29/1.44 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)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #11: input, references = 4, size of lhs = 5:
% 1.29/1.44 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)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #12: input, references = 7, size of lhs = 5:
% 1.29/1.44 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)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #13: input, references = 3, size of lhs = 5:
% 1.29/1.44 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)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #14: input, references = 9, size of lhs = 5:
% 1.29/1.44 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)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #15: input, references = 6, size of lhs = 4:
% 1.29/1.44 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #16: input, references = 8, size of lhs = 4:
% 1.29/1.44 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #17: input, references = 6, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V0)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #18: input, references = 7, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V0)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #19: input, references = 9, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V1,V1)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #20: input, references = 5, size of lhs = 4:
% 1.29/1.44 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | product-{T}(V1,V2,V3)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #21: input, references = 6, size of lhs = 5:
% 1.29/1.44 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), product-{F}(V2,V1,V3) | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #22: input, references = 4, size of lhs = 0:
% 1.29/1.44 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #23: input, references = 6, size of lhs = 2:
% 1.29/1.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #24: input, references = 8, size of lhs = 2:
% 1.29/1.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #25: input, references = 4, size of lhs = 1:
% 1.29/1.44 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #26: input, references = 4, size of lhs = 0:
% 1.29/1.44 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #27: input, references = 5, size of lhs = 0:
% 1.29/1.44 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #28: input, references = 5, size of lhs = 0:
% 1.29/1.44 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 number of initial rules = 29
% 1.29/1.44
% 1.29/1.44 Simplifiers:
% 1.29/1.44 #29: unsound, references = 3, size of lhs = 3:
% 1.29/1.44 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #30: unsound, references = 3, size of lhs = 3:
% 1.29/1.44 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #31: unsound, references = 3, size of lhs = 3:
% 1.29/1.44 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #32: unsound, references = 3, size of lhs = 3:
% 1.29/1.44 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #33: unsound, references = 3, size of lhs = 3:
% 1.29/1.44 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #34: unsound, references = 3, size of lhs = 3:
% 1.29/1.44 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #35: unsound, references = 3, size of lhs = 3:
% 1.29/1.44 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 number of simplifiers = 7
% 1.29/1.44
% 1.29/1.44 Learnt:
% 1.29/1.44 #39: mergings( V1 == V4; #37 ), references = 2, size of lhs = 4:
% 1.29/1.44 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V2), product-{F}(V0,V1,V3) | P_c-{T}(V3)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #47: mergings( V1 == V2, V2 == V3; #44 ), references = 1, size of lhs = 2:
% 1.29/1.44 P_a-{F}(V0), P_additive_identity-{F}(V0) | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #53: mergings( V3 == V4; #51 ), references = 1, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #85: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #76 ), references = 2, size of lhs = 6:
% 1.29/1.44 P_additive_identity-{F}(V0), product-{F}(V1,V1,V1), sum-{F}(V1,V2,V3), sum-{F}(V1,V3,V4), sum-{F}(V4,V5,V0), sum-{F}(V4,V5,V6) | P_add-{T}(V1,V1,V6)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #102: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #97 ), references = 5, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), sum-{F}(V0,V1,V2) | P_additive_inverse-{T}(V1,V2)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #107: mergings( V3 == V4; #105 ), references = 1, size of lhs = 2:
% 1.29/1.44 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | P_add-{T}(V1,V2,V3)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #151: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #137 ), references = 1, size of lhs = 12:
% 1.29/1.44 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), sum-{F}(V0,V4,V3), product-{F}(V5,V1,V4), product-{F}(V6,V7,V6), sum-{F}(V5,V6,V8), product-{F}(V9,V7,V9), sum-{F}(V8,V9,V2), sum-{F}(V7,V9,V10), sum-{F}(V10,V6,V1) | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #166: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #161 ), references = 4, size of lhs = 4:
% 1.29/1.44 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3), product-{F}(V2,V3,V4), product-{F}(V4,V1,V5) | P_multiply-{T}(V2,V1,V5)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #203: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #194 ), references = 2, size of lhs = 11:
% 1.29/1.44 P_additive_identity-{F}(V0), product-{F}(V0,V1,V2), product-{F}(V1,V3,V4), sum-{F}(V5,V4,V0), product-{F}(V1,V6,V5), sum-{F}(V7,V6,V8), sum-{F}(V8,V3,V9), product-{F}(V7,V1,V10), sum-{F}(V2,V10,V11), product-{F}(V9,V1,V12), V12 == V11 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #245: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #234 ), references = 1, size of lhs = 11:
% 1.29/1.44 P_additive_identity-{F}(V0), product-{F}(V1,V2,V0), product-{F}(V3,V1,V4), sum-{F}(V5,V4,V2), product-{F}(V6,V1,V5), sum-{F}(V7,V6,V8), sum-{F}(V8,V3,V9), product-{F}(V1,V7,V10), sum-{F}(V0,V10,V11), product-{F}(V1,V9,V12), V12 == V11 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #255: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #235 ), references = 2, size of lhs = 18:
% 1.29/1.44 P_additive_identity-{F}(V0), product-{F}(V0,V1,V2), product-{F}(V1,V3,V4), sum-{F}(V5,V4,V0), product-{F}(V1,V6,V5), sum-{F}(V7,V6,V8), sum-{F}(V8,V3,V9), product-{F}(V9,V1,V10), product-{F}(V7,V11,V0), product-{F}(V12,V7,V13), sum-{F}(V14,V13,V11), product-{F}(V15,V7,V14), sum-{F}(V16,V12,V1), sum-{F}(V17,V15,V16), product-{F}(V7,V17,V18), sum-{F}(V0,V18,V19), sum-{F}(V2,V19,V20), V10 == V20 | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #264: mergings( V3 == V4; #262 ), references = 1, size of lhs = 14:
% 1.29/1.44 P_additive_identity-{F}(V0), product-{F}(V0,V1,V0), product-{F}(V1,V2,V3), sum-{F}(V4,V3,V0), product-{F}(V1,V5,V4), sum-{F}(V6,V5,V7), sum-{F}(V7,V2,V8), product-{F}(V8,V1,V9), product-{F}(V6,V10,V0), product-{F}(V11,V6,V12), sum-{F}(V13,V12,V10), product-{F}(V14,V6,V13), sum-{F}(V15,V11,V1), sum-{F}(V16,V14,V15) | P_multiply-{T}(V6,V16,V9)
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #293: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V4 == V10; #283 ), references = 2, size of lhs = 7:
% 1.29/1.44 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V1,V1,V0), P_b-{F}(V2), product-{F}(V2,V2,V2), product-{F}(V2,V0,V0), sum-{F}(V2,V2,V0) | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #309: mergings( V1 == V2, V2 == V3; #306 ), references = 1, size of lhs = 3:
% 1.29/1.44 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V1,V1,V0) | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #317: mergings( V1 == V2, V2 == V3, V3 == V4; #313 ), references = 1, size of lhs = 1:
% 1.29/1.44 P_additive_identity-{F}(V0) | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 #319: exists( #22, #313 ), references = 1, size of lhs = 0:
% 1.29/1.44 FALSE | FALSE
% 1.29/1.44 (used 0 times, uses = {})
% 1.29/1.44
% 1.29/1.44 number of learnt formulas = 16
% 1.29/1.44
% 1.29/1.44
% 1.29/1.44 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.29/1.44
% 1.29/1.44 randbase = 1
%------------------------------------------------------------------------------