TSTP Solution File: RNG040-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG040-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 0.53s 0.75s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG040-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 07:23:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.75 GeoParameters:
% 0.53/0.75
% 0.53/0.75 tptp_input = 1
% 0.53/0.75 tptp_output = 0
% 0.53/0.75 nonempty = 1
% 0.53/0.75 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.75 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.53/0.75
% 0.53/0.75
% 0.53/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.75
% 0.53/0.75 RuleSystem INPUT:
% 0.53/0.75
% 0.53/0.75 Initial Rules:
% 0.53/0.75 #0: input, references = 8, size of lhs = 2:
% 0.53/0.75 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #1: input, references = 8, size of lhs = 2:
% 0.53/0.75 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #2: input, references = 3, size of lhs = 2:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #3: input, references = 3, size of lhs = 2:
% 0.53/0.75 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #4: input, references = 3, size of lhs = 2:
% 0.53/0.75 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #5: input, references = 3, size of lhs = 2:
% 0.53/0.75 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #6: input, references = 3, size of lhs = 4:
% 0.53/0.75 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)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #7: input, references = 4, size of lhs = 4:
% 0.53/0.75 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)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #8: input, references = 3, size of lhs = 2:
% 0.53/0.75 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #9: input, references = 3, size of lhs = 4:
% 0.53/0.75 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)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #10: input, references = 3, size of lhs = 4:
% 0.53/0.75 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)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #11: input, references = 7, size of lhs = 5:
% 0.53/0.75 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)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #12: input, references = 5, size of lhs = 5:
% 0.53/0.75 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)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #13: input, references = 4, size of lhs = 5:
% 0.53/0.75 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)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #14: input, references = 3, size of lhs = 5:
% 0.53/0.75 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)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #15: input, references = 7, size of lhs = 4:
% 0.53/0.75 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #16: input, references = 8, size of lhs = 4:
% 0.53/0.75 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #17: input, references = 5, size of lhs = 3:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #18: input, references = 5, size of lhs = 3:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #19: input, references = 3, size of lhs = 4:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_h-{F}(V2,V3), V2 == V0 | product-{T}(V2,V3,V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #20: input, references = 3, size of lhs = 4:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_h-{F}(V2,V3), V2 == V0 | product-{T}(V3,V2,V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #21: input, references = 5, size of lhs = 3:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #22: input, references = 8, size of lhs = 5:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4) | sum-{T}(V2,V3,V4)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #23: input, references = 11, size of lhs = 6:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5) | product-{T}(V4,V5,V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #24: input, references = 8, size of lhs = 7:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), P_l-{F}(V6) | product-{T}(V2,V5,V6)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #25: input, references = 7, size of lhs = 8:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), P_l-{F}(V6), P_n-{F}(V7) | product-{T}(V3,V5,V7)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #26: input, references = 8, size of lhs = 9:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), P_l-{F}(V6), P_n-{F}(V7), sum-{F}(V6,V7,V0) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #27: input, references = 4, size of lhs = 0:
% 0.53/0.75 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #28: input, references = 3, size of lhs = 2:
% 0.53/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #29: input, references = 3, size of lhs = 2:
% 0.53/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #30: input, references = 3, size of lhs = 1:
% 0.53/0.75 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #31: input, references = 4, size of lhs = 0:
% 0.53/0.75 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #32: input, references = 3, size of lhs = 1:
% 0.53/0.75 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #33: input, references = 5, size of lhs = 0:
% 0.53/0.75 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #34: input, references = 6, size of lhs = 0:
% 0.53/0.75 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #35: input, references = 7, size of lhs = 0:
% 0.53/0.75 FALSE | EXISTS V0: P_d-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #36: input, references = 10, size of lhs = 0:
% 0.53/0.75 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #37: input, references = 9, size of lhs = 0:
% 0.53/0.75 FALSE | EXISTS V0: P_l-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #38: input, references = 5, size of lhs = 0:
% 0.53/0.75 FALSE | EXISTS V0: P_n-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 number of initial rules = 39
% 0.53/0.75
% 0.53/0.75 Simplifiers:
% 0.53/0.75 #39: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #40: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #41: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #42: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #43: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #44: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #45: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #46: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #47: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #48: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #49: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_l-{F}(V0), P_l-{F}(V1), V0 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #50: unsound, references = 3, size of lhs = 3:
% 0.53/0.75 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 number of simplifiers = 12
% 0.53/0.75
% 0.53/0.75 Learnt:
% 0.53/0.75 #63: mergings( V1 == V2, V2 == V7, V7 == V8; #58 ), references = 3, size of lhs = 8:
% 0.53/0.75 P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_additive_identity-{F}(V4), product-{F}(V3,V4,V5), sum-{F}(V5,V4,V6), V6 == V4 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #67: mergings( V1 == V2, V2 == V7, V7 == V8; #59 ), references = 2, size of lhs = 8:
% 0.53/0.75 P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_additive_identity-{F}(V4), product-{F}(V3,V4,V5), sum-{F}(V4,V5,V6), V4 == V6 | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #76: mergings( V1 == V2, V2 == V3; #72 ), references = 3, size of lhs = 4:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | P_d-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #94: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V9, V9 == V10, V2 == V10, V10 == V7, V5 == V8; #85 ), references = 2, size of lhs = 4:
% 0.53/0.75 P_multiplicative_identity-{F}(V0), sum-{F}(V0,V0,V0), P_additive_identity-{F}(V0), P_b-{F}(V1) | P_c-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #107: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V4; #102 ), references = 1, size of lhs = 3:
% 0.53/0.75 P_multiplicative_identity-{F}(V0), sum-{F}(V0,V0,V0), P_additive_identity-{F}(V0) | P_b-{T}(V0)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #113: mergings( V1 == V7; #111 ), references = 3, size of lhs = 7:
% 0.53/0.75 P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), P_additive_identity-{F}(V5), product-{F}(V1,V4,V6) | P_l-{T}(V6)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #123: mergings( V1 == V8; #119 ), references = 5, size of lhs = 8:
% 0.53/0.75 P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), P_l-{F}(V5), P_additive_identity-{F}(V6), product-{F}(V2,V4,V7) | P_n-{T}(V7)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #129: mergings( V1 == V6, V2 == V8, V3 == V9, V4 == V10, V10 == V5; #120 ), references = 2, size of lhs = 7:
% 0.53/0.75 P_d-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_additive_identity-{F}(V1), P_l-{F}(V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4) | P_n-{T}(V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #135: mergings( V1 == V6, V2 == V8, V3 == V9, V4 == V10, V10 == V5; #121 ), references = 1, size of lhs = 7:
% 0.53/0.75 P_d-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_additive_identity-{F}(V1), P_l-{F}(V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4) | P_n-{T}(V1)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #144: mergings( V1 == V3, V3 == V7, V2 == V4; #140 ), references = 1, size of lhs = 5:
% 0.53/0.75 P_d-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V3) | P_a-{T}(V3)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #171: mergings( V1 == V9, V9 == V13, V13 == V14, V2 == V6, V6 == V10, V10 == V15, V3 == V5, V5 == V11, V11 == V16, V4 == V16, V16 == V7, V7 == V17, V17 == V8, V8 == V12, V12 == V18; #155 ), references = 1, size of lhs = 6:
% 0.53/0.75 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V2) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #175: mergings( V1 == V5; #173 ), references = 2, size of lhs = 5:
% 0.53/0.75 P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V1,V2,V4) | P_d-{T}(V4)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #197: mergings( V1 == V8, V8 == V11, V11 == V12, V2 == V9, V9 == V13, V3 == V10, V10 == V14, V4 == V7, V7 == V15, V5 == V15, V15 == V16, V6 == V12, V12 == V17; #183 ), references = 1, size of lhs = 9:
% 0.53/0.75 P_additive_identity-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V3), product-{F}(V2,V4,V0), sum-{F}(V0,V4,V5), product-{F}(V2,V5,V0) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #217: mergings( V1 == V2, V2 == V8, V8 == V10, V10 == V11, V3 == V9; #211 ), references = 1, size of lhs = 9:
% 0.53/0.75 P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_a-{F}(V3), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), product-{F}(V3,V6,V5), sum-{F}(V6,V0,V7), product-{F}(V3,V7,V8) | P_l-{T}(V8)
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #244: mergings( V5 == V7, V7 == V8, V8 == V13, V13 == V15, V15 == V16, V16 == V20, V20 == V21, V1 == V6, V6 == V9, V9 == V14, V14 == V17, V17 == V22, V2 == V10, V10 == V18, V18 == V23, V3 == V4, V4 == V11, V11 == V24, V24 == V12, V12 == V19, V19 == V25; #222 ), references = 2, size of lhs = 7:
% 0.53/0.75 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), sum-{F}(V3,V2,V3), P_d-{F}(V3) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #254: mergings( V1 == V2, V2 == V4, V4 == V5, V3 == V6; #249 ), references = 1, size of lhs = 4:
% 0.53/0.75 P_b-{F}(V0), P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #272: mergings( V1 == V7, V7 == V13, V13 == V15, V2 == V8, V8 == V16, V3 == V9, V9 == V17, V4 == V10, V10 == V18, V5 == V11, V11 == V19, V6 == V12, V12 == V20; #258 ), references = 1, size of lhs = 10:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), product-{F}(V3,V5,V6), product-{F}(V2,V7,V6), sum-{F}(V5,V7,V8), product-{F}(V2,V8,V0) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #294: mergings( V1 == V12, V12 == V14, V14 == V15, V2 == V7, V7 == V16, V3 == V8, V8 == V17, V4 == V9, V9 == V18, V5 == V10, V10 == V19, V6 == V11, V11 == V20; #280 ), references = 2, size of lhs = 10:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), product-{F}(V3,V5,V6), product-{F}(V7,V5,V6), sum-{F}(V2,V7,V8), product-{F}(V8,V5,V0) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #315: mergings( V1 == V7, V7 == V15, V15 == V16, V16 == V17, V2 == V3, V3 == V8, V8 == V12, V12 == V18, V4 == V9, V9 == V13, V13 == V19, V18 == V5, V5 == V10, V10 == V20, V6 == V11, V11 == V14, V14 == V21; #297 ), references = 1, size of lhs = 6:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_c-{F}(V1), P_b-{F}(V2), sum-{F}(V2,V1,V3), P_d-{F}(V3) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #334: mergings( V1 == V3, V3 == V8, V8 == V14, V14 == V15, V15 == V16, V2 == V4, V4 == V5, V5 == V9, V9 == V12, V12 == V17, V6 == V10, V10 == V13, V13 == V18, V17 == V7, V7 == V11, V11 == V19; #317 ), references = 1, size of lhs = 4:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_c-{F}(V1), P_b-{F}(V2) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #343: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V10; #338 ), references = 2, size of lhs = 9:
% 0.53/0.75 P_l-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_a-{F}(V6), sum-{F}(V3,V4,V7), product-{F}(V7,V6,V1) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #360: mergings( V8 == V9, V9 == V13, V1 == V5, V5 == V10, V10 == V14, V2 == V4, V4 == V11, V11 == V15, V3 == V6, V6 == V16, V15 == V7, V7 == V12, V12 == V17; #346 ), references = 1, size of lhs = 6:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_d-{F}(V2), P_c-{F}(V3), sum-{F}(V2,V3,V2) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #363: exists( #37, #343 ), references = 1, size of lhs = 8:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_a-{F}(V5), sum-{F}(V2,V3,V6), product-{F}(V6,V5,V0) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #370: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9; #365 ), references = 1, size of lhs = 6:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), sum-{F}(V2,V3,V4), P_d-{F}(V4) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #378: mergings( V1 == V6, V2 == V3, V3 == V7, V4 == V8, V5 == V9; #372 ), references = 1, size of lhs = 4:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #384: mergings( V1 == V5, V2 == V3, V3 == V6, V4 == V7; #379 ), references = 1, size of lhs = 3:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #389: mergings( V1 == V4, V2 == V3, V3 == V5; #385 ), references = 1, size of lhs = 2:
% 0.53/0.75 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #392: mergings( V1 == V2; #390 ), references = 1, size of lhs = 1:
% 0.53/0.75 P_additive_identity-{F}(V0) | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 #394: exists( #27, #390 ), references = 1, size of lhs = 0:
% 0.53/0.75 FALSE | FALSE
% 0.53/0.75 (used 0 times, uses = {})
% 0.53/0.75
% 0.53/0.75 number of learnt formulas = 29
% 0.53/0.75
% 0.53/0.75
% 0.53/0.75 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.75
% 0.53/0.75 randbase = 1
%------------------------------------------------------------------------------