TSTP Solution File: RNG008-7 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG008-7 : 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 06:14:52 EDT 2022
% Result : Unsatisfiable 2.14s 2.32s
% Output : Refutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : RNG008-7 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 07:52:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.14/2.32 GeoParameters:
% 2.14/2.32
% 2.14/2.32 tptp_input = 1
% 2.14/2.32 tptp_output = 0
% 2.14/2.32 nonempty = 1
% 2.14/2.32 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.32 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.14/2.32
% 2.14/2.32
% 2.14/2.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.32 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.32
% 2.14/2.32 RuleSystem INPUT:
% 2.14/2.32
% 2.14/2.32 Initial Rules:
% 2.14/2.32 #0: input, references = 4, size of lhs = 3:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #1: input, references = 5, size of lhs = 3:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #2: input, references = 5, size of lhs = 4:
% 2.14/2.32 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #3: input, references = 4, size of lhs = 4:
% 2.14/2.32 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #4: input, references = 7, size of lhs = 6:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V2,V3,V4), P_add-{F}(V1,V4,V5), P_add-{F}(V1,V2,V6), P_add-{F}(V6,V3,V7), V5 == V7 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #5: input, references = 4, size of lhs = 4:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V2,V1,V4), V3 == V4 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #6: input, references = 4, size of lhs = 6:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V6,V3,V7), V5 == V7 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #7: input, references = 5, size of lhs = 7:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V3,V7), P_add-{F}(V6,V7,V8), V5 == V8 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #8: input, references = 6, size of lhs = 7:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V1,V3,V6), P_multiply-{F}(V2,V3,V7), P_add-{F}(V6,V7,V8), V5 == V8 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #9: input, references = 4, size of lhs = 3:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), V2 == V1 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #10: input, references = 5, size of lhs = 6:
% 2.14/2.32 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), V3 == V4 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #11: input, references = 5, size of lhs = 6:
% 2.14/2.32 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V4) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #12: input, references = 14, size of lhs = 2:
% 2.14/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #13: input, references = 4, size of lhs = 0:
% 2.14/2.32 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #14: input, references = 5, size of lhs = 1:
% 2.14/2.32 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #15: input, references = 9, size of lhs = 2:
% 2.14/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #16: input, references = 4, size of lhs = 0:
% 2.14/2.32 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #17: input, references = 4, size of lhs = 0:
% 2.14/2.32 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #18: input, references = 5, size of lhs = 0:
% 2.14/2.32 FALSE | EXISTS V0: P_c-{T}(V0)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 number of initial rules = 19
% 2.14/2.32
% 2.14/2.32 Simplifiers:
% 2.14/2.32 #19: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #20: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #21: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #22: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #23: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #24: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #25: unsound, references = 3, size of lhs = 3:
% 2.14/2.32 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 number of simplifiers = 7
% 2.14/2.32
% 2.14/2.32 Learnt:
% 2.14/2.32 #28: exists( #12, #2 ), references = 7, size of lhs = 2:
% 2.14/2.32 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #29: exists( #12, #3 ), references = 2, size of lhs = 2:
% 2.14/2.32 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #34: mergings( V2 == V0; #32 ), references = 1, size of lhs = 1:
% 2.14/2.32 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #38: exists( #15, #9 ), references = 13, size of lhs = 2:
% 2.14/2.32 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V1,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #42: exists( #15, #10 ), references = 2, size of lhs = 4:
% 2.14/2.32 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | P_multiply-{T}(V1,V2,V3)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #44: exists( #12, #8 ), references = 2, size of lhs = 5:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V1,V4,V6), P_multiply-{F}(V2,V4,V7) | P_add-{T}(V6,V7,V5)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #47: exists( #12, #1 ), references = 10, size of lhs = 2:
% 2.14/2.32 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #48: exists( #12, #4 ), references = 12, size of lhs = 4:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V4,V1,V5), P_add-{F}(V5,V2,V6) | P_add-{T}(V4,V3,V6)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #50: exists( #18, #10 ), references = 1, size of lhs = 4:
% 2.14/2.32 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3) | P_c-{T}(V3)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #57: exists( #12, #0 ), references = 5, size of lhs = 2:
% 2.14/2.32 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V0,V1,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #58: exists( #12, #5 ), references = 13, size of lhs = 2:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | P_add-{T}(V2,V1,V3)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #59: exists( #12, #4 ), references = 3, size of lhs = 4:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V4,V3,V5), P_add-{F}(V4,V1,V6) | P_add-{T}(V6,V2,V5)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #63: exists( #15, #7 ), references = 11, size of lhs = 5:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V2,V6), P_add-{F}(V5,V6,V7) | P_multiply-{T}(V4,V3,V7)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #80: mergings( V3 == V13, V2 == V13, V13 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #72 ), references = 2, size of lhs = 5:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V1), P_add-{F}(V1,V2,V3), P_add-{F}(V1,V3,V4), P_add-{F}(V4,V5,V0) | P_add-{T}(V1,V1,V0)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #89: mergings( V0 == V4, V2 == V3; #86 ), references = 7, size of lhs = 3:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V1), P_add-{F}(V1,V0,V1) | P_additive_inverse-{T}(V1,V1)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #93: exists( #15, #8 ), references = 8, size of lhs = 5:
% 2.14/2.32 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V2,V4,V6), P_add-{F}(V5,V6,V7) | P_multiply-{T}(V3,V4,V7)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #113: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #104 ), references = 2, size of lhs = 14:
% 2.14/2.32 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_add-{F}(V5,V2,V4), P_multiply-{F}(V2,V6,V5), P_add-{F}(V6,V7,V8), P_add-{F}(V8,V9,V1), P_add-{F}(V10,V7,V2), P_add-{F}(V11,V9,V10), P_multiply-{F}(V11,V9,V12), P_multiply-{F}(V11,V7,V13), P_add-{F}(V12,V13,V11) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #132: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #123 ), references = 1, size of lhs = 18:
% 2.14/2.32 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_add-{F}(V4,V5,V1), P_add-{F}(V6,V2,V2), P_add-{F}(V7,V5,V6), P_multiply-{F}(V7,V5,V8), P_multiply-{F}(V7,V2,V9), P_add-{F}(V8,V9,V7), P_add-{F}(V10,V2,V11), P_add-{F}(V12,V11,V4), P_add-{F}(V13,V10,V2), P_add-{F}(V14,V12,V13), P_multiply-{F}(V14,V10,V15), P_multiply-{F}(V14,V12,V16), P_add-{F}(V15,V16,V0) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #144: exists( #15, #6 ), references = 7, size of lhs = 4:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V5,V2,V6) | P_multiply-{T}(V4,V3,V6)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #182: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #172 ), references = 1, size of lhs = 12:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V1), P_add-{F}(V2,V3,V1), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V3,V4,V6), P_add-{F}(V4,V6,V7), P_add-{F}(V7,V5,V8), P_add-{F}(V9,V1,V10), P_multiply-{F}(V10,V8,V11), P_multiply-{F}(V9,V8,V12), P_add-{F}(V12,V0,V13), V11 == V13 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #191: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #173 ), references = 1, size of lhs = 14:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V2), P_add-{F}(V3,V4,V2), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V4,V5,V7), P_multiply-{F}(V8,V7,V9), P_multiply-{F}(V8,V6,V10), P_add-{F}(V9,V10,V0), P_add-{F}(V8,V1,V11), P_multiply-{F}(V11,V12,V12), P_add-{F}(V12,V7,V13), P_add-{F}(V13,V6,V14), P_multiply-{F}(V11,V14,V15), V15 == V14 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #240: 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, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23; #218 ), references = 1, size of lhs = 23:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V1), P_add-{F}(V2,V3,V1), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V3,V4,V6), P_add-{F}(V4,V6,V7), P_add-{F}(V7,V5,V8), P_add-{F}(V9,V0,V8), P_add-{F}(V10,V1,V11), P_multiply-{F}(V11,V8,V12), P_multiply-{F}(V10,V13,V14), P_multiply-{F}(V13,V15,V16), P_multiply-{F}(V16,V17,V9), P_multiply-{F}(V18,V19,V19), P_add-{F}(V17,V19,V20), P_multiply-{F}(V18,V21,V21), P_add-{F}(V20,V21,V22), P_multiply-{F}(V15,V22,V23), P_multiply-{F}(V14,V23,V24), P_add-{F}(V24,V0,V25), V12 == V25, P_add-{F}(V18,V21,V26), P_add-{F}(V26,V19,V16) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #261: 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, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23; #219 ), references = 1, size of lhs = 25:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V2), P_multiply-{F}(V1,V3,V3), P_add-{F}(V1,V3,V4), P_add-{F}(V4,V2,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V5,V8,V9), P_add-{F}(V9,V0,V10), P_add-{F}(V8,V2,V11), P_add-{F}(V11,V3,V12), P_multiply-{F}(V7,V12,V13), P_multiply-{F}(V14,V15,V15), P_add-{F}(V16,V17,V15), P_multiply-{F}(V16,V18,V19), P_multiply-{F}(V17,V18,V20), P_add-{F}(V21,V19,V10), P_add-{F}(V22,V20,V21), P_multiply-{F}(V23,V22,V22), P_add-{F}(V24,V14,V23), P_multiply-{F}(V24,V20,V25), P_multiply-{F}(V24,V19,V26), P_add-{F}(V25,V26,V0), P_multiply-{F}(V23,V6,V27), P_multiply-{F}(V27,V13,V28), V28 == V10 | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #288: 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, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24; #265 ), references = 1, size of lhs = 18:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V1), P_add-{F}(V2,V3,V1), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V3,V4,V6), P_add-{F}(V4,V6,V7), P_add-{F}(V7,V5,V8), P_add-{F}(V9,V0,V8), P_add-{F}(V10,V1,V11), P_multiply-{F}(V11,V8,V12), P_multiply-{F}(V13,V14,V14), P_multiply-{F}(V13,V15,V15), P_add-{F}(V13,V15,V16), P_add-{F}(V16,V14,V17), P_multiply-{F}(V17,V18,V9), P_add-{F}(V18,V14,V19), P_add-{F}(V19,V15,V20), P_multiply-{F}(V20,V10,V17) | P_multiply-{T}(V10,V20,V12)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #310: 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, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24; #266 ), references = 1, size of lhs = 21:
% 2.14/2.32 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V2), P_multiply-{F}(V1,V3,V3), P_add-{F}(V1,V3,V4), P_add-{F}(V4,V2,V5), P_multiply-{F}(V5,V6,V7), P_add-{F}(V7,V0,V8), P_add-{F}(V6,V2,V9), P_add-{F}(V9,V3,V10), P_multiply-{F}(V10,V11,V5), P_multiply-{F}(V11,V12,V12), P_add-{F}(V13,V14,V11), P_multiply-{F}(V14,V15,V15), P_add-{F}(V16,V17,V15), P_multiply-{F}(V16,V18,V19), P_multiply-{F}(V17,V18,V20), P_add-{F}(V12,V20,V21), P_add-{F}(V21,V19,V8), P_multiply-{F}(V13,V20,V22), P_multiply-{F}(V13,V19,V23), P_add-{F}(V22,V23,V0) | P_multiply-{T}(V11,V10,V8)
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #342: 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, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V31 == V32; #315 ), references = 1, size of lhs = 20:
% 2.14/2.32 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_add-{F}(V2,V5,V6), P_add-{F}(V6,V7,V8), P_multiply-{F}(V8,V9,V4), P_add-{F}(V10,V0,V9), P_multiply-{F}(V3,V11,V10), P_multiply-{F}(V7,V12,V13), P_multiply-{F}(V5,V12,V14), P_add-{F}(V12,V14,V15), P_add-{F}(V15,V13,V9), P_multiply-{F}(V16,V17,V17), P_multiply-{F}(V16,V18,V18), P_add-{F}(V16,V18,V19), P_add-{F}(V19,V17,V3), P_add-{F}(V11,V17,V20), P_add-{F}(V20,V18,V1) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #381: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31; #350 ), references = 1, size of lhs = 11:
% 2.14/2.32 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_add-{F}(V0,V3,V1), P_multiply-{F}(V4,V3,V3), P_add-{F}(V4,V3,V0), P_multiply-{F}(V4,V1,V1), P_add-{F}(V5,V1,V4), P_add-{F}(V2,V6,V5), P_multiply-{F}(V6,V2,V7), P_add-{F}(V2,V7,V0) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #419: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33; #386 ), references = 2, size of lhs = 7:
% 2.14/2.32 P_additive_identity-{F}(V0), P_a-{F}(V1), P_add-{F}(V0,V1,V2), P_multiply-{F}(V2,V1,V1), P_multiply-{F}(V2,V3,V3), P_add-{F}(V0,V3,V1), P_add-{F}(V2,V3,V0) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #428: mergings( V1 == V2, V2 == V3; #425 ), references = 1, size of lhs = 1:
% 2.14/2.32 P_additive_identity-{F}(V0) | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 #430: exists( #13, #425 ), references = 1, size of lhs = 0:
% 2.14/2.32 FALSE | FALSE
% 2.14/2.32 (used 0 times, uses = {})
% 2.14/2.32
% 2.14/2.32 number of learnt formulas = 30
% 2.14/2.32
% 2.14/2.32
% 2.14/2.32 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.32
% 2.14/2.32 randbase = 1
%------------------------------------------------------------------------------