TSTP Solution File: RNG039-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 0.72s 0.91s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.01/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n016.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 07:59:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/0.91 GeoParameters:
% 0.72/0.91
% 0.72/0.91 tptp_input = 1
% 0.72/0.91 tptp_output = 0
% 0.72/0.91 nonempty = 1
% 0.72/0.91 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.91 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.72/0.91
% 0.72/0.91
% 0.72/0.91 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.91
% 0.72/0.91 RuleSystem INPUT:
% 0.72/0.91
% 0.72/0.91 Initial Rules:
% 0.72/0.91 #0: input, references = 3, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #1: input, references = 4, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #2: input, references = 8, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #3: input, references = 3, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #4: input, references = 4, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #5: input, references = 3, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #6: input, references = 4, size of lhs = 4:
% 0.72/0.91 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)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #7: input, references = 3, size of lhs = 4:
% 0.72/0.91 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)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #8: input, references = 3, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #9: input, references = 3, size of lhs = 4:
% 0.72/0.91 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)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #10: input, references = 3, size of lhs = 4:
% 0.72/0.91 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)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #11: input, references = 3, size of lhs = 5:
% 0.72/0.91 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)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #12: input, references = 4, size of lhs = 5:
% 0.72/0.91 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)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #13: input, references = 3, size of lhs = 5:
% 0.72/0.91 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)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #14: input, references = 6, size of lhs = 5:
% 0.72/0.91 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)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #15: input, references = 4, size of lhs = 4:
% 0.72/0.91 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #16: input, references = 5, size of lhs = 4:
% 0.72/0.91 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #17: input, references = 3, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V3,V2)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #18: input, references = 3, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V3,V2,V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #19: input, references = 7, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V1,V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #20: input, references = 4, size of lhs = 3:
% 0.72/0.91 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #21: input, references = 5, size of lhs = 3:
% 0.72/0.91 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), V2 == V0 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #22: input, references = 4, size of lhs = 3:
% 0.72/0.91 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #23: input, references = 7, size of lhs = 6:
% 0.72/0.91 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
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #24: input, references = 5, size of lhs = 8:
% 0.72/0.91 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,V5), P_d-{F}(V6), V5 == V6 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #25: input, references = 3, size of lhs = 8:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_add-{F}(V8,V7,V9) | sum-{T}(V7,V8,V9)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #26: input, references = 3, size of lhs = 7:
% 0.72/0.91 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,V5), P_d-{F}(V6) | product-{T}(V1,V4,V4)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #27: input, references = 3, size of lhs = 7:
% 0.72/0.91 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,V5), P_d-{F}(V6) | product-{T}(V2,V6,V6)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #28: input, references = 3, size of lhs = 7:
% 0.72/0.91 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,V5), P_d-{F}(V6) | product-{T}(V4,V2,V4)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #29: input, references = 3, size of lhs = 7:
% 0.72/0.91 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,V5), P_d-{F}(V6) | product-{T}(V6,V1,V6)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #30: input, references = 3, size of lhs = 8:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V7,V8,V9) | product-{T}(V7,V9,V9)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #31: input, references = 4, size of lhs = 9:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V2,V7,V9), P_multiply-{F}(V8,V7,V10) | product-{T}(V1,V9,V10)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #32: input, references = 3, size of lhs = 8:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7) | product-{T}(V1,V2,V7)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #33: input, references = 3, size of lhs = 9:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8) | product-{T}(V1,V8,V4)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #34: input, references = 3, size of lhs = 11:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V1,V9,V10), P_multiply-{F}(V6,V9,V11) | product-{T}(V2,V10,V11)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #35: input, references = 3, size of lhs = 10:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9) | product-{T}(V2,V1,V9)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #36: input, references = 3, size of lhs = 11:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10) | product-{T}(V2,V10,V6)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #37: input, references = 3, size of lhs = 12:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11) | product-{T}(V2,V4,V11)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #38: input, references = 3, size of lhs = 13:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12) | product-{T}(V1,V6,V12)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #39: input, references = 3, size of lhs = 14:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V13,V14,V15) | product-{T}(V15,V14,V15)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #40: input, references = 3, size of lhs = 15:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V13,V1,V14), P_multiply-{F}(V13,V4,V15) | product-{T}(V14,V2,V15)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #41: input, references = 3, size of lhs = 14:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13) | product-{T}(V1,V2,V13)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #42: input, references = 3, size of lhs = 14:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13) | product-{T}(V12,V2,V4)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #43: input, references = 3, size of lhs = 14:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13) | product-{T}(V6,V2,V8)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #44: input, references = 3, size of lhs = 16:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V14,V2,V15), P_multiply-{F}(V14,V6,V16) | product-{T}(V15,V1,V16)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #45: input, references = 3, size of lhs = 15:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14) | product-{T}(V2,V1,V14)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #46: input, references = 3, size of lhs = 15:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14) | product-{T}(V11,V1,V6)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #47: input, references = 3, size of lhs = 15:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14) | product-{T}(V4,V1,V10)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #48: input, references = 3, size of lhs = 17:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16) | product-{T}(V1,V15,V16)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #49: input, references = 3, size of lhs = 19:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18) | product-{T}(V1,V17,V18)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #50: input, references = 3, size of lhs = 20:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19) | product-{T}(V2,V17,V19)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #51: input, references = 3, size of lhs = 21:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20) | product-{T}(V2,V15,V20)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #52: input, references = 3, size of lhs = 22:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21) | product-{T}(V17,V2,V21)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #53: input, references = 3, size of lhs = 23:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22) | product-{T}(V15,V2,V22)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #54: input, references = 3, size of lhs = 24:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23) | product-{T}(V15,V1,V23)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #55: input, references = 3, size of lhs = 25:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23), P_add-{F}(V1,V6,V24) | product-{T}(V17,V1,V24)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #56: input, references = 3, size of lhs = 26:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23), P_add-{F}(V1,V6,V24), #-{F} V25 | product-{T}(V25,V25,V25)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #57: input, references = 3, size of lhs = 25:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23), P_add-{F}(V1,V6,V24) | product-{T}(V1,V2,V4)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #58: input, references = 3, size of lhs = 25:
% 0.72/0.91 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,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23), P_add-{F}(V1,V6,V24) | product-{T}(V2,V1,V6)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #59: input, references = 4, size of lhs = 25:
% 0.72/0.91 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V6), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V6,V2,V7), P_multiply-{F}(V2,V6,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V6,V1,V12), P_multiply-{F}(V1,V6,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V6,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V6,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V6,V2,V21), P_add-{F}(V2,V6,V22), P_add-{F}(V6,V1,V23), P_add-{F}(V1,V6,V24) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #60: input, references = 4, size of lhs = 0:
% 0.72/0.91 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #61: input, references = 7, size of lhs = 2:
% 0.72/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #62: input, references = 5, size of lhs = 2:
% 0.72/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #63: input, references = 4, size of lhs = 1:
% 0.72/0.91 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #64: input, references = 5, size of lhs = 0:
% 0.72/0.91 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #65: input, references = 5, size of lhs = 0:
% 0.72/0.91 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #66: input, references = 6, size of lhs = 0:
% 0.72/0.91 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #67: input, references = 5, size of lhs = 0:
% 0.72/0.91 FALSE | EXISTS V0: P_d-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 number of initial rules = 68
% 0.72/0.91
% 0.72/0.91 Simplifiers:
% 0.72/0.91 #68: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #69: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #70: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #71: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #72: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #73: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #74: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #75: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 number of simplifiers = 8
% 0.72/0.91
% 0.72/0.91 Learnt:
% 0.72/0.91 #79: mergings( V3 == V4; #77 ), references = 5, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #89: exists( #61, #22 ), references = 4, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V1,V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #91: exists( #66, #23 ), references = 3, size of lhs = 4:
% 0.72/0.91 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3) | P_c-{T}(V3)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #95: mergings( V1 == V7; #93 ), references = 4, size of lhs = 10:
% 0.72/0.91 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c-{F}(V3), P_multiply-{F}(V1,V0,V4), P_additive_identity-{F}(V5), P_multiply-{F}(V1,V6,V7), product-{F}(V0,V7,V8), P_multiply-{F}(V9,V6,V10), V8 == V10 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #114: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #105 ), references = 2, size of lhs = 2:
% 0.72/0.91 P_a-{F}(V0), P_additive_identity-{F}(V0) | P_b-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #118: exists( #66, #95 ), references = 2, size of lhs = 9:
% 0.72/0.91 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V3), P_additive_identity-{F}(V4), P_multiply-{F}(V1,V5,V6), product-{F}(V0,V6,V7), P_multiply-{F}(V8,V5,V9), V7 == V9 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #120: exists( #62, #21 ), references = 2, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V1,V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #132: mergings( V2 == V3, V3 == V4, V4 == V5; #128 ), references = 1, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), sum-{F}(V0,V1,V2) | P_additive_inverse-{T}(V1,V2)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #135: exists( #62, #20 ), references = 1, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #137: exists( #61, #23 ), references = 3, size of lhs = 4:
% 0.72/0.91 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | P_multiply-{T}(V1,V2,V3)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #141: exists( #61, #118 ), references = 1, size of lhs = 8:
% 0.72/0.91 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_multiply-{F}(V1,V4,V5), product-{F}(V0,V5,V6), P_multiply-{F}(V7,V4,V8), V6 == V8 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #142: exists( #61, #95 ), references = 1, size of lhs = 9:
% 0.72/0.91 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c-{F}(V3), P_additive_identity-{F}(V4), P_multiply-{F}(V1,V5,V6), product-{F}(V0,V6,V7), P_multiply-{F}(V8,V5,V9), V7 == V9 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #143: exists( #61, #24 ), references = 1, size of lhs = 6:
% 0.72/0.91 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V5) | P_multiply-{T}(V2,V1,V5)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #152: mergings( V1 == V2, V2 == V5; #148 ), references = 4, size of lhs = 5:
% 0.72/0.91 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiply-{F}(V1,V3,V1), P_multiply-{F}(V4,V3,V5) | P_c-{T}(V5)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #174: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V8 == V11, V11 == V14; #161 ), references = 2, size of lhs = 2:
% 0.72/0.91 P_additive_identity-{F}(V0), P_a-{F}(V1) | P_b-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #206: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7; #199 ), references = 1, size of lhs = 6:
% 0.72/0.91 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V1,V0), P_multiply-{F}(V0,V2,V0), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V5,V2,V6), V4 == V6 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #213: exists( #60, #211 ), references = 2, size of lhs = 1:
% 0.72/0.91 #-{F} V0 | P_additive_identity-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #216: exists( #64, #214 ), references = 1, size of lhs = 1:
% 0.72/0.91 P_add-{F}(V0,V0,V1) | P_a-{T}(V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #218: exists( #67, #24 ), references = 1, size of lhs = 6:
% 0.72/0.91 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,V5) | P_d-{T}(V5)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #226: #212+#89+#120+#215+#114+#91+#217+#59, references = 1, size of lhs = 1:
% 0.72/0.91 #-{F} V0 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 number of learnt formulas = 20
% 0.72/0.91
% 0.72/0.91
% 0.72/0.91 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.91
% 0.72/0.91 randbase = 1
%------------------------------------------------------------------------------