TSTP Solution File: BOO004-10 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO004-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 05:58:34 EDT 2022
% Result : Unsatisfiable 5.53s 5.73s
% Output : Refutation 5.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO004-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.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 08:39:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.53/5.73 GeoParameters:
% 5.53/5.73
% 5.53/5.73 tptp_input = 1
% 5.53/5.73 tptp_output = 0
% 5.53/5.73 nonempty = 1
% 5.53/5.73 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.53/5.73 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.53/5.73
% 5.53/5.73
% 5.53/5.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.53/5.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.53/5.73
% 5.53/5.73 RuleSystem INPUT:
% 5.53/5.73
% 5.53/5.73 Initial Rules:
% 5.53/5.73 #0: input, references = 4, size of lhs = 2:
% 5.53/5.73 P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #1: input, references = 4, size of lhs = 2:
% 5.53/5.73 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #2: input, references = 4, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_add-{F}(V1,V2,V3), P_sum-{F}(V1,V2,V3,V4), V4 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #3: input, references = 4, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_multiply-{F}(V1,V2,V3), P_product-{F}(V1,V2,V3,V4), V4 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #4: input, references = 3, size of lhs = 5:
% 5.53/5.73 P_true-{F}(V0), P_sum-{F}(V1,V2,V3,V4), P_sum-{F}(V2,V1,V3,V5), P_ifeq-{F}(V4,V0,V5,V0,V6), V6 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #5: input, references = 3, size of lhs = 5:
% 5.53/5.73 P_true-{F}(V0), P_product-{F}(V1,V2,V3,V4), P_product-{F}(V2,V1,V3,V5), P_ifeq-{F}(V4,V0,V5,V0,V6), V6 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #6: input, references = 4, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_sum-{F}(V1,V2,V2,V3), V3 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #7: input, references = 4, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_sum-{F}(V2,V1,V2,V3), V3 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #8: input, references = 4, size of lhs = 5:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V2,V3,V3,V4), V4 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #9: input, references = 4, size of lhs = 5:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V2,V3,V4), V4 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #10: input, references = 4, size of lhs = 13:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V6,V7,V10), P_product-{F}(V3,V5,V8,V11), P_product-{F}(V3,V4,V9,V12), P_sum-{F}(V4,V5,V6,V13), P_sum-{F}(V9,V8,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #11: input, references = 3, size of lhs = 13:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V5,V8,V10), P_product-{F}(V3,V4,V9,V11), P_sum-{F}(V9,V8,V7,V12), P_sum-{F}(V4,V5,V6,V13), P_product-{F}(V3,V6,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #12: input, references = 4, size of lhs = 13:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V6,V3,V7,V10), P_product-{F}(V5,V3,V8,V11), P_product-{F}(V4,V3,V9,V12), P_sum-{F}(V4,V5,V6,V13), P_sum-{F}(V9,V8,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #13: input, references = 3, size of lhs = 13:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V5,V3,V8,V10), P_product-{F}(V4,V3,V9,V11), P_sum-{F}(V9,V8,V7,V12), P_sum-{F}(V4,V5,V6,V13), P_product-{F}(V6,V3,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #14: input, references = 3, size of lhs = 13:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V4,V5,V6,V10), P_sum-{F}(V3,V6,V7,V11), P_sum-{F}(V3,V5,V8,V12), P_sum-{F}(V3,V4,V9,V13), P_product-{F}(V9,V8,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #15: input, references = 3, size of lhs = 13:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V9,V8,V7,V10), P_product-{F}(V4,V5,V6,V11), P_sum-{F}(V3,V5,V8,V12), P_sum-{F}(V3,V4,V9,V13), P_sum-{F}(V3,V6,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #16: input, references = 3, size of lhs = 13:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V4,V5,V6,V10), P_sum-{F}(V6,V3,V7,V11), P_sum-{F}(V5,V3,V8,V12), P_sum-{F}(V4,V3,V9,V13), P_product-{F}(V9,V8,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #17: input, references = 4, size of lhs = 13:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V9,V8,V7,V10), P_product-{F}(V4,V5,V6,V11), P_sum-{F}(V5,V3,V8,V12), P_sum-{F}(V4,V3,V9,V13), P_sum-{F}(V6,V3,V7,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V12,V0,V15,V0,V16), P_ifeq-{F}(V11,V0,V16,V0,V17), P_ifeq-{F}(V10,V0,V17,V0,V18), V18 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #18: input, references = 4, size of lhs = 6:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4), P_sum-{F}(V4,V3,V2,V5), V5 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #19: input, references = 4, size of lhs = 6:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4), P_sum-{F}(V3,V4,V2,V5), V5 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #20: input, references = 3, size of lhs = 6:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4), P_product-{F}(V4,V3,V1,V5), V5 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #21: input, references = 3, size of lhs = 6:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4), P_product-{F}(V3,V4,V1,V5), V5 == V0 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #22: input, references = 10, size of lhs = 8:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V3,V4,V5,V7), P_sum-{F}(V3,V4,V6,V8), P_ifeq2-{F}(V8,V0,V6,V5,V9), P_ifeq2-{F}(V7,V0,V9,V5,V10), V10 == V5 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #23: input, references = 4, size of lhs = 8:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V7), P_product-{F}(V3,V4,V6,V8), P_ifeq2-{F}(V8,V0,V6,V5,V9), P_ifeq2-{F}(V7,V0,V9,V5,V10), V10 == V5 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #24: input, references = 5, size of lhs = 5:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_x-{F}(V3), P_sum-{F}(V3,V3,V3,V0) | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #25: input, references = 5, size of lhs = 4:
% 5.53/5.73 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #26: input, references = 4, size of lhs = 4:
% 5.53/5.73 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #27: input, references = 9, size of lhs = 3:
% 5.53/5.73 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_sum-{T}(V0,V1,V2,V3)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #28: input, references = 5, size of lhs = 2:
% 5.53/5.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #29: input, references = 4, size of lhs = 0:
% 5.53/5.73 FALSE | EXISTS V0: P_true-{T}(V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #30: input, references = 4, size of lhs = 3:
% 5.53/5.73 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_product-{T}(V0,V1,V2,V3)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #31: input, references = 9, size of lhs = 2:
% 5.53/5.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #32: input, references = 4, size of lhs = 0:
% 5.53/5.73 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #33: input, references = 4, size of lhs = 0:
% 5.53/5.73 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #34: input, references = 4, size of lhs = 1:
% 5.53/5.73 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #35: input, references = 4, size of lhs = 0:
% 5.53/5.73 FALSE | EXISTS V0: P_x-{T}(V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 number of initial rules = 36
% 5.53/5.73
% 5.53/5.73 Simplifiers:
% 5.53/5.73 #36: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #37: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #38: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_sum-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #39: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #40: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #41: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_product-{F}(V0,V1,V2,V3), P_product-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #42: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #43: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #44: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #45: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #46: unsound, references = 3, size of lhs = 3:
% 5.53/5.73 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 number of simplifiers = 11
% 5.53/5.73
% 5.53/5.73 Learnt:
% 5.53/5.73 #48: exists( #27, #2 ), references = 5, size of lhs = 2:
% 5.53/5.73 P_true-{F}(V0), P_add-{F}(V1,V2,V3) | P_sum-{T}(V1,V2,V3,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #50: exists( #26, #1 ), references = 4, size of lhs = 3:
% 5.53/5.73 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #52: exists( #27, #18 ), references = 1, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4) | P_sum-{T}(V4,V3,V2,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #54: exists( #27, #6 ), references = 4, size of lhs = 3:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_sum-{T}(V1,V2,V2,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #56: exists( #25, #0 ), references = 9, size of lhs = 3:
% 5.53/5.73 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #60: exists( #30, #8 ), references = 2, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), #-{F} V3 | P_product-{T}(V2,V3,V3,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #61: exists( #30, #9 ), references = 2, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), #-{F} V3 | P_product-{T}(V3,V2,V3,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #62: exists( #30, #3 ), references = 11, size of lhs = 2:
% 5.53/5.73 P_true-{F}(V0), P_multiply-{F}(V1,V2,V3) | P_product-{T}(V1,V2,V3,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #67: exists( #28, #65 ), references = 1, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V3,V4,V5,V0) | P_add-{T}(V3,V4,V5)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #69: exists( #27, #19 ), references = 2, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_inverse-{F}(V3,V4) | P_sum-{T}(V3,V4,V2,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #78: mergings( V0 == V2, V2 == V5, V3 == V6; #74 ), references = 1, size of lhs = 3:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | P_inverse-{T}(V1,V2)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #83: exists( #31, #81 ), references = 1, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V0) | P_multiply-{T}(V3,V4,V5)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #91: exists( #27, #85 ), references = 1, size of lhs = 7:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V0), P_sum-{F}(V6,V7,V4,V0), P_sum-{F}(V8,V7,V3,V0), P_product-{F}(V8,V6,V9,V0) | P_sum-{T}(V9,V7,V5,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #92: exists( #27, #86 ), references = 7, size of lhs = 7:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V0), P_product-{F}(V3,V6,V7,V0), P_sum-{F}(V8,V6,V4,V0), P_product-{F}(V3,V8,V9,V0) | P_sum-{T}(V9,V7,V5,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #93: exists( #27, #87 ), references = 5, size of lhs = 7:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V0), P_product-{F}(V6,V4,V7,V0), P_sum-{F}(V8,V6,V3,V0), P_product-{F}(V8,V4,V9,V0) | P_sum-{T}(V9,V7,V5,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #100: mergings( V3 == V6, V4 == V7, V5 == V8; #96 ), references = 3, size of lhs = 11:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V3,V4,V5), P_sum-{F}(V6,V7,V4,V0), P_sum-{F}(V8,V7,V3,V0), P_product-{F}(V8,V6,V9,V0), P_sum-{F}(V9,V7,V10,V11), P_ifeq2-{F}(V11,V0,V10,V5,V12), P_ifeq2-{F}(V0,V0,V12,V5,V13), V13 == V5 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #109: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7; #104 ), references = 2, size of lhs = 4:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V2,V2,V2,V0) | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #127: mergings( V3 == V4, V4 == V7, V5 == V8; #123 ), references = 1, size of lhs = 6:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V1,V0), P_sum-{F}(V4,V5,V6,V0), P_product-{F}(V3,V6,V7,V0) | P_multiply-{T}(V3,V5,V7)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #142: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #137 ), references = 1, size of lhs = 6:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V3,V3,V3,V0), P_sum-{F}(V4,V4,V5,V0), P_product-{F}(V3,V5,V6,V0) | P_multiply-{T}(V3,V4,V6)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #149: exists( #31, #147 ), references = 4, size of lhs = 7:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V3,V4,V5,V0), P_sum-{F}(V6,V4,V7,V0), P_product-{F}(V6,V3,V8,V0), P_sum-{F}(V8,V4,V9,V0) | P_multiply-{T}(V7,V5,V9)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #175: exists( #25, #22 ), references = 1, size of lhs = 6:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_sum-{F}(V3,V4,V5,V6), P_sum-{F}(V3,V4,V7,V8), P_ifeq2-{F}(V8,V0,V7,V5,V9) | P_ifeq2-{T}(V6,V0,V9,V5,V5)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #177: exists( #27, #7 ), references = 1, size of lhs = 3:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_sum-{T}(V2,V1,V2,V0)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #245: mergings( V5 == V8, V8 == V11, V3 == V6, V6 == V9, V9 == V12, V4 == V7, V7 == V10, V10 == V13; #234 ), references = 1, size of lhs = 15:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V5,V0), P_sum-{F}(V6,V7,V3,V0), P_product-{F}(V7,V4,V8,V0), P_sum-{F}(V4,V8,V9,V0), P_sum-{F}(V6,V8,V10,V0), P_product-{F}(V10,V11,V12,V0), P_sum-{F}(V13,V11,V9,V0), P_product-{F}(V10,V13,V14,V0), P_sum-{F}(V14,V12,V15,V16), P_ifeq2-{F}(V16,V0,V15,V5,V17), P_ifeq2-{F}(V0,V0,V17,V5,V18), V18 == V5 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #253: mergings( V5 == V10, V3 == V6, V6 == V8, V8 == V11, V4 == V7, V7 == V9, V9 == V12; #235 ), references = 1, size of lhs = 17:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V3,V4,V0), P_product-{F}(V5,V6,V3,V0), P_sum-{F}(V7,V8,V5,V0), P_product-{F}(V9,V10,V8,V0), P_sum-{F}(V7,V9,V11,V0), P_product-{F}(V11,V10,V12,V0), P_sum-{F}(V10,V8,V13,V0), P_multiply-{F}(V12,V12,V14), P_sum-{F}(V6,V15,V13,V0), P_product-{F}(V5,V15,V16,V0), P_sum-{F}(V4,V16,V17,V18), P_ifeq2-{F}(V18,V0,V17,V14,V19), P_ifeq2-{F}(V0,V0,V19,V14,V20), V20 == V14 | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #261: mergings( V5 == V10, V3 == V6, V6 == V8, V8 == V11, V4 == V7, V7 == V9, V9 == V12; #236 ), references = 1, size of lhs = 12:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_x-{F}(V3), P_product-{F}(V4,V5,V3,V0), P_sum-{F}(V6,V7,V4,V0), P_product-{F}(V7,V5,V8,V0), P_sum-{F}(V5,V8,V9,V0), P_sum-{F}(V6,V8,V10,V0), P_product-{F}(V10,V11,V3,V0), P_sum-{F}(V12,V11,V9,V0), P_product-{F}(V10,V12,V3,V0) | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #276: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11; #267 ), references = 2, size of lhs = 9:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V4,V4,V0), P_sum-{F}(V5,V4,V3,V0), P_product-{F}(V3,V6,V6,V0), P_product-{F}(V7,V6,V4,V0), P_sum-{F}(V5,V7,V8,V0), P_product-{F}(V8,V6,V9,V0) | P_add-{T}(V6,V4,V9)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #283: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11; #268 ), references = 1, size of lhs = 11:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_product-{F}(V3,V3,V4,V0), P_product-{F}(V5,V4,V3,V0), P_product-{F}(V5,V6,V6,V0), P_sum-{F}(V7,V6,V5,V0), P_product-{F}(V8,V4,V6,V0), P_sum-{F}(V7,V8,V9,V0), P_product-{F}(V9,V4,V10,V0), P_multiply-{F}(V10,V10,V11) | P_add-{T}(V4,V6,V11)
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #293: mergings( V3 == V5, V1 == V2, V2 == V4, V4 == V6; #288 ), references = 1, size of lhs = 2:
% 5.53/5.73 P_true-{F}(V0), P_additive_identity-{F}(V1) | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #296: mergings( V1 == V2; #294 ), references = 1, size of lhs = 1:
% 5.53/5.73 P_true-{F}(V0) | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 #298: exists( #29, #294 ), references = 1, size of lhs = 0:
% 5.53/5.73 FALSE | FALSE
% 5.53/5.73 (used 0 times, uses = {})
% 5.53/5.73
% 5.53/5.73 number of learnt formulas = 30
% 5.53/5.73
% 5.53/5.73
% 5.53/5.73 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.53/5.73
% 5.53/5.73 randbase = 1
%------------------------------------------------------------------------------