TSTP Solution File: RNG008-5 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG008-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 1.66s 1.86s
% Output : Refutation 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG008-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n010.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 07:36:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.66/1.86 GeoParameters:
% 1.66/1.86
% 1.66/1.86 tptp_input = 1
% 1.66/1.86 tptp_output = 0
% 1.66/1.86 nonempty = 1
% 1.66/1.86 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.86 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.66/1.86
% 1.66/1.86
% 1.66/1.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.86
% 1.66/1.86 RuleSystem INPUT:
% 1.66/1.86
% 1.66/1.86 Initial Rules:
% 1.66/1.86 #0: input, references = 10, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #1: input, references = 7, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #2: input, references = 8, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #3: input, references = 8, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #4: input, references = 8, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #5: input, references = 3, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #6: input, references = 8, size of lhs = 4:
% 1.66/1.86 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)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #7: input, references = 8, size of lhs = 4:
% 1.66/1.86 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)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #8: input, references = 13, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #9: input, references = 4, size of lhs = 4:
% 1.66/1.86 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)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #10: input, references = 6, size of lhs = 4:
% 1.66/1.86 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)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #11: input, references = 4, size of lhs = 5:
% 1.66/1.86 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)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #12: input, references = 10, size of lhs = 5:
% 1.66/1.86 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)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #13: input, references = 4, size of lhs = 5:
% 1.66/1.86 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)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #14: input, references = 8, size of lhs = 5:
% 1.66/1.86 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)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #15: input, references = 6, size of lhs = 4:
% 1.66/1.86 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #16: input, references = 7, size of lhs = 4:
% 1.66/1.86 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #17: input, references = 3, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1) | sum-{T}(V1,V0,V0)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #18: input, references = 3, size of lhs = 4:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3), P_additive_inverse-{F}(V3,V4) | sum-{T}(V4,V0,V2)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #19: input, references = 5, size of lhs = 3:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | product-{T}(V2,V0,V0)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #20: input, references = 5, size of lhs = 3:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | product-{T}(V0,V2,V0)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #21: input, references = 3, size of lhs = 6:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V4), P_additive_inverse-{F}(V3,V5), P_add-{F}(V2,V3,V6), P_additive_inverse-{F}(V6,V7) | sum-{T}(V4,V5,V7)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #22: input, references = 4, size of lhs = 5:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V2,V3,V5), P_additive_inverse-{F}(V5,V6) | product-{T}(V2,V4,V6)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #23: input, references = 12, size of lhs = 3:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | product-{T}(V2,V2,V2)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #24: input, references = 6, size of lhs = 5:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | product-{T}(V2,V3,V4)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #25: input, references = 8, size of lhs = 6:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), product-{F}(V3,V2,V4) | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #26: input, references = 4, size of lhs = 0:
% 1.66/1.86 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #27: input, references = 6, size of lhs = 2:
% 1.66/1.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #28: input, references = 8, size of lhs = 2:
% 1.66/1.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #29: input, references = 5, size of lhs = 1:
% 1.66/1.86 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #30: input, references = 4, size of lhs = 0:
% 1.66/1.86 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #31: input, references = 5, size of lhs = 0:
% 1.66/1.86 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #32: input, references = 5, size of lhs = 0:
% 1.66/1.86 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 number of initial rules = 33
% 1.66/1.86
% 1.66/1.86 Simplifiers:
% 1.66/1.86 #33: unsound, references = 3, size of lhs = 3:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #34: unsound, references = 3, size of lhs = 3:
% 1.66/1.86 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #35: unsound, references = 3, size of lhs = 3:
% 1.66/1.86 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #36: unsound, references = 3, size of lhs = 3:
% 1.66/1.86 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #37: unsound, references = 3, size of lhs = 3:
% 1.66/1.86 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #38: unsound, references = 3, size of lhs = 3:
% 1.66/1.86 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #39: unsound, references = 3, size of lhs = 3:
% 1.66/1.86 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 number of simplifiers = 7
% 1.66/1.86
% 1.66/1.86 Learnt:
% 1.66/1.86 #46: mergings( V0 == V2, V2 == V3; #43 ), references = 1, size of lhs = 1:
% 1.66/1.86 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #54: mergings( V1 == V5, V2 == V6, V3 == V4; #50 ), references = 1, size of lhs = 4:
% 1.66/1.86 P_b-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V1,V2) | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #56: mergings( V1 == V5; #49 ), references = 2, size of lhs = 5:
% 1.66/1.86 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V2), P_additive_inverse-{F}(V2,V3), product-{F}(V0,V1,V4) | P_c-{T}(V4)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #66: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V5, V5 == V7; #60 ), references = 1, size of lhs = 3:
% 1.66/1.86 P_a-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1) | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #76: mergings( V3 == V4; #74 ), references = 4, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #97: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V3 == V5, V5 == V7; #89 ), references = 4, size of lhs = 4:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V2,V2), sum-{F}(V0,V2,V3) | P_additive_inverse-{T}(V2,V3)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #102: mergings( V3 == V4; #100 ), references = 1, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | P_add-{T}(V1,V2,V3)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #144: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V7 == V15; #131 ), references = 1, size of lhs = 13:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V3), product-{F}(V4,V2,V4), sum-{F}(V4,V5,V6), sum-{F}(V6,V7,V3), sum-{F}(V5,V8,V2), sum-{F}(V7,V9,V8), product-{F}(V5,V9,V10), product-{F}(V7,V9,V11), sum-{F}(V11,V10,V0) | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #181: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V7 == V15; #168 ), references = 1, size of lhs = 13:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_c-{F}(V2), P_b-{F}(V3), product-{F}(V3,V4,V4), sum-{F}(V5,V4,V6), sum-{F}(V7,V6,V2), sum-{F}(V8,V5,V3), sum-{F}(V9,V7,V8), product-{F}(V9,V7,V10), product-{F}(V9,V5,V11), sum-{F}(V11,V10,V0) | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #217: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #205 ), references = 2, size of lhs = 12:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), product-{F}(V2,V3,V3), sum-{F}(V3,V4,V5), sum-{F}(V4,V6,V2), sum-{F}(V5,V7,V8), product-{F}(V2,V8,V9), V9 == V8, sum-{F}(V7,V10,V6), product-{F}(V10,V4,V11), product-{F}(V10,V7,V12), sum-{F}(V12,V11,V0) | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #233: mergings( V3 == V4; #231 ), references = 1, size of lhs = 10:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), product-{F}(V2,V3,V3), sum-{F}(V3,V4,V5), sum-{F}(V4,V6,V2), sum-{F}(V5,V7,V8), sum-{F}(V7,V9,V6), product-{F}(V9,V4,V10), product-{F}(V9,V7,V11), sum-{F}(V11,V10,V0) | P_multiply-{T}(V2,V8,V8)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #266: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #254 ), references = 2, size of lhs = 13:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), product-{F}(V2,V2,V2), product-{F}(V2,V3,V3), sum-{F}(V2,V2,V4), sum-{F}(V3,V4,V5), sum-{F}(V5,V3,V6), sum-{F}(V7,V3,V8), sum-{F}(V8,V2,V9), product-{F}(V5,V7,V10), sum-{F}(V6,V10,V11), product-{F}(V5,V9,V12), V12 == V11 | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #294: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V6 == V8, V8 == V14; #283 ), references = 1, size of lhs = 10:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), product-{F}(V2,V2,V2), sum-{F}(V2,V2,V0), sum-{F}(V3,V3,V0), sum-{F}(V0,V2,V4), product-{F}(V2,V5,V5), product-{F}(V6,V3,V6), product-{F}(V6,V4,V7), product-{F}(V5,V7,V8) | P_multiply-{T}(V5,V6,V8)
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #333: mergings( V1 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V28, V28 == V29, V2 == V5, V5 == V8, V8 == V12, V12 == V17, V17 == V19, V19 == V25, V25 == V30, V6 == V32; #306 ), references = 2, size of lhs = 14:
% 1.66/1.86 product-{F}(V0,V0,V0), sum-{F}(V0,V0,V1), P_additive_identity-{F}(V1), sum-{F}(V1,V0,V2), P_b-{F}(V2), product-{F}(V0,V2,V2), sum-{F}(V3,V3,V1), P_additive_inverse-{F}(V1,V4), P_a-{F}(V5), product-{F}(V5,V3,V5), product-{F}(V2,V6,V6), sum-{F}(V7,V1,V2), product-{F}(V2,V7,V2), sum-{F}(V6,V7,V1) | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #345: mergings( V1 == V3, V3 == V4, V2 == V5, V5 == V7; #340 ), references = 1, size of lhs = 5:
% 1.66/1.86 P_additive_identity-{F}(V0), sum-{F}(V1,V1,V0), P_additive_inverse-{F}(V0,V2), P_a-{F}(V3), product-{F}(V3,V1,V3) | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #361: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V2 == V5, V5 == V7, V7 == V10, V10 == V11; #351 ), references = 1, size of lhs = 2:
% 1.66/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1) | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 #364: exists( #26, #362 ), references = 1, size of lhs = 0:
% 1.66/1.86 FALSE | FALSE
% 1.66/1.86 (used 0 times, uses = {})
% 1.66/1.86
% 1.66/1.86 number of learnt formulas = 17
% 1.66/1.86
% 1.66/1.86
% 1.66/1.86 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.86
% 1.66/1.86 randbase = 1
%------------------------------------------------------------------------------