TSTP Solution File: RNG001-10 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG001-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:14:49 EDT 2022
% Result : Unsatisfiable 27.25s 27.45s
% Output : Refutation 27.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG001-10 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n017.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 07:01:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 27.25/27.45 GeoParameters:
% 27.25/27.45
% 27.25/27.45 tptp_input = 1
% 27.25/27.45 tptp_output = 0
% 27.25/27.45 nonempty = 1
% 27.25/27.45 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.25/27.45 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 27.25/27.45
% 27.25/27.45
% 27.25/27.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.25/27.45 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.25/27.45
% 27.25/27.45 RuleSystem INPUT:
% 27.25/27.45
% 27.25/27.45 Initial Rules:
% 27.25/27.45 #0: input, references = 4, size of lhs = 2:
% 27.25/27.45 P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #1: input, references = 4, size of lhs = 2:
% 27.25/27.45 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #2: input, references = 3, size of lhs = 4:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V0,V2,V2,V3), V3 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #3: input, references = 4, size of lhs = 4:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V0,V2,V3), V3 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #4: input, references = 4, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_multiply-{F}(V2,V3,V4), P_product-{F}(V2,V3,V4,V5), V5 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #5: input, references = 4, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_add-{F}(V2,V3,V4), P_sum-{F}(V2,V3,V4,V5), V5 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #6: input, references = 3, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_additive_inverse-{F}(V2,V3), P_sum-{F}(V3,V2,V0,V4), V4 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #7: input, references = 4, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_additive_inverse-{F}(V2,V3), P_sum-{F}(V2,V3,V0,V4), V4 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #8: input, references = 4, size of lhs = 10:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V4,V5,V6,V8), P_sum-{F}(V3,V5,V7,V9), P_sum-{F}(V2,V3,V4,V10), P_sum-{F}(V2,V7,V6,V11), P_ifeq-{F}(V10,V1,V11,V1,V12), P_ifeq-{F}(V9,V1,V12,V1,V13), P_ifeq-{F}(V8,V1,V13,V1,V14), V14 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #9: input, references = 4, size of lhs = 10:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V3,V5,V7,V8), P_sum-{F}(V2,V7,V6,V9), P_sum-{F}(V2,V3,V4,V10), P_sum-{F}(V4,V5,V6,V11), P_ifeq-{F}(V10,V1,V11,V1,V12), P_ifeq-{F}(V9,V1,V12,V1,V13), P_ifeq-{F}(V8,V1,V13,V1,V14), V14 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #10: input, references = 4, size of lhs = 6:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V5), P_sum-{F}(V3,V2,V4,V6), P_ifeq-{F}(V5,V1,V6,V1,V7), V7 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #11: input, references = 4, size of lhs = 10:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V4,V5,V6,V8), P_product-{F}(V3,V5,V7,V9), P_product-{F}(V2,V3,V4,V10), P_product-{F}(V2,V7,V6,V11), P_ifeq-{F}(V10,V1,V11,V1,V12), P_ifeq-{F}(V9,V1,V12,V1,V13), P_ifeq-{F}(V8,V1,V13,V1,V14), V14 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #12: input, references = 3, size of lhs = 10:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V3,V5,V7,V8), P_product-{F}(V2,V7,V6,V9), P_product-{F}(V2,V3,V4,V10), P_product-{F}(V4,V5,V6,V11), P_ifeq-{F}(V10,V1,V11,V1,V12), P_ifeq-{F}(V9,V1,V12,V1,V13), P_ifeq-{F}(V8,V1,V13,V1,V14), V14 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #13: input, references = 3, size of lhs = 12:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V5,V6,V9), P_product-{F}(V2,V4,V7,V10), P_product-{F}(V2,V3,V8,V11), P_sum-{F}(V3,V4,V5,V12), P_sum-{F}(V8,V7,V6,V13), P_ifeq-{F}(V12,V1,V13,V1,V14), P_ifeq-{F}(V11,V1,V14,V1,V15), P_ifeq-{F}(V10,V1,V15,V1,V16), P_ifeq-{F}(V9,V1,V16,V1,V17), V17 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #14: input, references = 4, size of lhs = 12:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V4,V7,V9), P_product-{F}(V2,V3,V8,V10), P_sum-{F}(V8,V7,V6,V11), P_sum-{F}(V3,V4,V5,V12), P_product-{F}(V2,V5,V6,V13), P_ifeq-{F}(V12,V1,V13,V1,V14), P_ifeq-{F}(V11,V1,V14,V1,V15), P_ifeq-{F}(V10,V1,V15,V1,V16), P_ifeq-{F}(V9,V1,V16,V1,V17), V17 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #15: input, references = 3, size of lhs = 12:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V5,V2,V6,V9), P_product-{F}(V4,V2,V7,V10), P_product-{F}(V3,V2,V8,V11), P_sum-{F}(V3,V4,V5,V12), P_sum-{F}(V8,V7,V6,V13), P_ifeq-{F}(V12,V1,V13,V1,V14), P_ifeq-{F}(V11,V1,V14,V1,V15), P_ifeq-{F}(V10,V1,V15,V1,V16), P_ifeq-{F}(V9,V1,V16,V1,V17), V17 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #16: input, references = 4, size of lhs = 12:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V4,V2,V7,V9), P_product-{F}(V3,V2,V8,V10), P_sum-{F}(V8,V7,V6,V11), P_sum-{F}(V3,V4,V5,V12), P_product-{F}(V5,V2,V6,V13), P_ifeq-{F}(V12,V1,V13,V1,V14), P_ifeq-{F}(V11,V1,V14,V1,V15), P_ifeq-{F}(V10,V1,V15,V1,V16), P_ifeq-{F}(V9,V1,V16,V1,V17), V17 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #17: input, references = 5, size of lhs = 7:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V5,V6), P_sum-{F}(V2,V3,V4,V7), P_ifeq2-{F}(V7,V1,V4,V5,V8), P_ifeq2-{F}(V6,V1,V8,V5,V9), V9 == V5 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #18: input, references = 5, size of lhs = 7:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V5,V6), P_product-{F}(V2,V3,V4,V7), P_ifeq2-{F}(V7,V1,V4,V5,V8), P_ifeq2-{F}(V6,V1,V8,V5,V9), V9 == V5 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #19: input, references = 7, size of lhs = 7:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V5,V4,V6), P_sum-{F}(V2,V3,V4,V7), P_ifeq2-{F}(V7,V1,V3,V5,V8), P_ifeq2-{F}(V6,V1,V8,V5,V9), V9 == V5 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #20: input, references = 4, size of lhs = 7:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V5,V3,V4,V6), P_sum-{F}(V2,V3,V4,V7), P_ifeq2-{F}(V7,V1,V2,V5,V8), P_ifeq2-{F}(V6,V1,V8,V5,V9), V9 == V5 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #21: input, references = 4, size of lhs = 4:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_product-{F}(V2,V0,V0,V1) | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #22: input, references = 8, size of lhs = 4:
% 27.25/27.45 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #23: input, references = 5, size of lhs = 4:
% 27.25/27.45 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #24: input, references = 7, size of lhs = 3:
% 27.25/27.45 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_sum-{T}(V0,V1,V2,V3)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #25: input, references = 4, size of lhs = 0:
% 27.25/27.45 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #26: input, references = 4, size of lhs = 0:
% 27.25/27.45 FALSE | EXISTS V0: P_true-{T}(V0)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #27: input, references = 6, size of lhs = 3:
% 27.25/27.45 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_product-{T}(V0,V1,V2,V3)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #28: input, references = 4, size of lhs = 2:
% 27.25/27.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #29: input, references = 5, size of lhs = 2:
% 27.25/27.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #30: input, references = 5, size of lhs = 1:
% 27.25/27.45 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #31: input, references = 4, size of lhs = 0:
% 27.25/27.45 FALSE | EXISTS V0: P_a-{T}(V0)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 number of initial rules = 32
% 27.25/27.45
% 27.25/27.45 Simplifiers:
% 27.25/27.45 #32: unsound, references = 3, size of lhs = 3:
% 27.25/27.45 P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #33: unsound, references = 3, size of lhs = 3:
% 27.25/27.45 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #34: unsound, references = 3, size of lhs = 3:
% 27.25/27.45 P_sum-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #35: unsound, references = 3, size of lhs = 3:
% 27.25/27.45 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #36: unsound, references = 3, size of lhs = 3:
% 27.25/27.45 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #37: unsound, references = 3, size of lhs = 3:
% 27.25/27.45 P_product-{F}(V0,V1,V2,V3), P_product-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #38: unsound, references = 3, size of lhs = 3:
% 27.25/27.45 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #39: unsound, references = 3, size of lhs = 3:
% 27.25/27.45 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #40: unsound, references = 3, size of lhs = 3:
% 27.25/27.45 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #41: unsound, references = 3, size of lhs = 3:
% 27.25/27.45 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 number of simplifiers = 10
% 27.25/27.45
% 27.25/27.45 Learnt:
% 27.25/27.45 #43: exists( #24, #5 ), references = 4, size of lhs = 3:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_add-{F}(V2,V3,V4) | P_sum-{T}(V2,V3,V4,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #45: exists( #22, #0 ), references = 6, size of lhs = 3:
% 27.25/27.45 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #48: exists( #23, #1 ), references = 5, size of lhs = 3:
% 27.25/27.45 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #49: exists( #23, #10 ), references = 1, size of lhs = 4:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V5), P_sum-{F}(V3,V2,V4,V6) | P_ifeq-{T}(V5,V1,V6,V1,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #52: exists( #27, #4 ), references = 3, size of lhs = 3:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_multiply-{F}(V2,V3,V4) | P_product-{T}(V2,V3,V4,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #58: exists( #24, #3 ), references = 3, size of lhs = 3:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), #-{F} V2 | P_sum-{T}(V2,V0,V2,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #60: exists( #24, #7 ), references = 3, size of lhs = 3:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_additive_inverse-{F}(V2,V3) | P_sum-{T}(V2,V3,V0,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #70: mergings( V2 == V3; #68 ), references = 1, size of lhs = 3:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V0,V1) | P_additive_inverse-{T}(V2,V3)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #78: mergings( V3 == V4; #76 ), references = 1, size of lhs = 3:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V1) | P_add-{T}(V2,V3,V4)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #88: exists( #24, #86 ), references = 2, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V1), P_sum-{F}(V5,V4,V6,V1), P_sum-{F}(V5,V2,V7,V1) | P_sum-{T}(V7,V3,V6,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #96: exists( #23, #8 ), references = 1, size of lhs = 8:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_ifeq-{F}(V2,V1,V3,V1,V4), P_ifeq-{F}(V5,V1,V4,V1,V6), P_sum-{F}(V7,V8,V9,V5), P_sum-{F}(V10,V7,V11,V2), P_sum-{F}(V10,V9,V12,V3), P_sum-{F}(V11,V8,V12,V13) | P_ifeq-{T}(V13,V1,V6,V1,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #103: exists( #22, #20 ), references = 1, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V5), P_sum-{F}(V6,V3,V4,V7), P_ifeq2-{F}(V7,V1,V6,V2,V8) | P_ifeq2-{T}(V5,V1,V8,V2,V2)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #106: exists( #22, #19 ), references = 1, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V5), P_sum-{F}(V2,V6,V4,V7), P_ifeq2-{F}(V7,V1,V6,V3,V8) | P_ifeq2-{T}(V5,V1,V8,V3,V3)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #119: mergings( V2 == V3, V3 == V4; #116 ), references = 1, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V0,V3,V1), P_sum-{F}(V2,V4,V5,V1), P_sum-{F}(V5,V6,V3,V1) | P_additive_inverse-{T}(V4,V6)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #127: exists( #27, #123 ), references = 2, size of lhs = 6:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V2,V5,V6,V1), P_sum-{F}(V6,V4,V7,V1), P_sum-{F}(V5,V3,V8,V1) | P_product-{T}(V2,V8,V7,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #128: exists( #27, #124 ), references = 1, size of lhs = 6:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V5,V3,V6,V1), P_sum-{F}(V6,V4,V7,V1), P_sum-{F}(V5,V2,V8,V1) | P_product-{T}(V8,V3,V7,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #139: exists( #22, #17 ), references = 1, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V5), P_sum-{F}(V2,V3,V6,V7), P_ifeq2-{F}(V7,V1,V6,V4,V8) | P_ifeq2-{T}(V5,V1,V8,V4,V4)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #155: exists( #27, #153 ), references = 1, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V5,V3,V6,V1), P_product-{F}(V7,V5,V2,V1) | P_product-{T}(V7,V6,V4,V1)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #180: exists( #22, #18 ), references = 1, size of lhs = 5:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V5), P_product-{F}(V2,V3,V6,V7), P_ifeq2-{F}(V7,V1,V6,V4,V8) | P_ifeq2-{T}(V5,V1,V8,V4,V4)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #236: mergings( V3 == V4, V4 == V5; #233 ), references = 2, size of lhs = 6:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V2,V5,V6,V1), P_sum-{F}(V5,V3,V7,V1), P_product-{F}(V2,V7,V8,V1) | P_add-{T}(V6,V4,V8)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #254: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V6 == V9; #248 ), references = 2, size of lhs = 4:
% 27.25/27.45 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V2,V2,V1), #-{F} V3 | P_multiply-{T}(V3,V2,V0)
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #260: mergings( V2 == V3, V1 == V4; #257 ), references = 1, size of lhs = 3:
% 27.25/27.45 P_additive_identity-{F}(V0), P_sum-{F}(V0,V0,V0,V1), P_true-{F}(V1) | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #264: mergings( V1 == V2; #262 ), references = 1, size of lhs = 1:
% 27.25/27.45 P_additive_identity-{F}(V0) | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 #266: exists( #25, #262 ), references = 1, size of lhs = 0:
% 27.25/27.45 FALSE | FALSE
% 27.25/27.45 (used 0 times, uses = {})
% 27.25/27.45
% 27.25/27.45 number of learnt formulas = 24
% 27.25/27.45
% 27.25/27.45
% 27.25/27.45 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.25/27.45
% 27.25/27.45 randbase = 1
%------------------------------------------------------------------------------