%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO012-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 05:58:37 EDT 2022
% Result : Unsatisfiable 0.96s 1.15s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO012-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 08:49:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.96/1.15 GeoParameters:
% 0.96/1.15
% 0.96/1.15 tptp_input = 1
% 0.96/1.15 tptp_output = 0
% 0.96/1.15 nonempty = 1
% 0.96/1.15 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.96/1.15 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.96/1.15
% 0.96/1.15
% 0.96/1.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.96/1.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.96/1.15
% 0.96/1.15 RuleSystem INPUT:
% 0.96/1.15
% 0.96/1.15 Initial Rules:
% 0.96/1.15 #0: input, references = 6, size of lhs = 1:
% 0.96/1.15 P_add-{F}(V0,V1,V2) | sum-{T}(V0,V1,V2)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #1: input, references = 4, size of lhs = 1:
% 0.96/1.15 P_multiply-{F}(V0,V1,V2) | product-{T}(V0,V1,V2)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #2: input, references = 5, size of lhs = 1:
% 0.96/1.15 sum-{F}(V0,V1,V2) | sum-{T}(V1,V0,V2)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #3: input, references = 8, size of lhs = 1:
% 0.96/1.15 product-{F}(V0,V1,V2) | product-{T}(V1,V0,V2)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #4: input, references = 3, size of lhs = 2:
% 0.96/1.15 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #5: input, references = 9, size of lhs = 2:
% 0.96/1.15 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #6: input, references = 5, size of lhs = 3:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #7: input, references = 3, size of lhs = 3:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #8: input, references = 4, size of lhs = 6:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V6,V5,V4), product-{F}(V6,V7,V3), product-{F}(V6,V8,V2), sum-{F}(V8,V7,V5) | sum-{T}(V2,V3,V4)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #9: input, references = 6, size of lhs = 6:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V6,V7,V3), product-{F}(V6,V8,V2), sum-{F}(V8,V7,V5) | product-{T}(V6,V5,V4)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #10: input, references = 4, size of lhs = 6:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V6,V4), product-{F}(V7,V6,V3), product-{F}(V8,V6,V2), sum-{F}(V8,V7,V5) | sum-{T}(V2,V3,V4)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #11: input, references = 3, size of lhs = 6:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V7,V6,V3), product-{F}(V8,V6,V2), sum-{F}(V8,V7,V5) | product-{T}(V5,V6,V4)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #12: input, references = 5, size of lhs = 6:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V6,V5,V4), sum-{F}(V6,V7,V3), sum-{F}(V6,V8,V2), product-{F}(V8,V7,V5) | product-{T}(V2,V3,V4)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #13: input, references = 4, size of lhs = 6:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4), sum-{F}(V6,V7,V3), sum-{F}(V6,V8,V2), product-{F}(V8,V7,V5) | sum-{T}(V6,V5,V4)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #14: input, references = 3, size of lhs = 6:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V6,V4), sum-{F}(V7,V6,V3), sum-{F}(V8,V6,V2), product-{F}(V8,V7,V5) | product-{T}(V2,V3,V4)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #15: input, references = 3, size of lhs = 6:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4), sum-{F}(V7,V6,V3), sum-{F}(V8,V6,V2), product-{F}(V8,V7,V5) | sum-{T}(V5,V6,V4)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #16: input, references = 6, size of lhs = 3:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V3,V2,V1)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #17: input, references = 3, size of lhs = 3:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V2,V3,V1)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #18: input, references = 7, size of lhs = 3:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V3,V2,V0)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #19: input, references = 3, size of lhs = 3:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #20: input, references = 7, size of lhs = 5:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V4,V2), sum-{F}(V5,V4,V3), V2 == V3 | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #21: input, references = 6, size of lhs = 5:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3), V2 == V3 | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #22: input, references = 4, size of lhs = 5:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V2) | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #23: input, references = 4, size of lhs = 2:
% 0.96/1.15 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #24: input, references = 4, size of lhs = 2:
% 0.96/1.15 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #25: input, references = 4, size of lhs = 0:
% 0.96/1.15 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #26: input, references = 4, size of lhs = 0:
% 0.96/1.15 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #27: input, references = 7, size of lhs = 1:
% 0.96/1.15 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #28: input, references = 4, size of lhs = 0:
% 0.96/1.15 FALSE | EXISTS V0: P_x-{T}(V0)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 number of initial rules = 29
% 0.96/1.15
% 0.96/1.15 Simplifiers:
% 0.96/1.15 #29: unsound, references = 3, size of lhs = 3:
% 0.96/1.15 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #30: unsound, references = 3, size of lhs = 3:
% 0.96/1.15 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #31: unsound, references = 3, size of lhs = 3:
% 0.96/1.15 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #32: unsound, references = 3, size of lhs = 3:
% 0.96/1.15 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #33: unsound, references = 3, size of lhs = 3:
% 0.96/1.15 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #34: unsound, references = 3, size of lhs = 3:
% 0.96/1.15 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 number of simplifiers = 6
% 0.96/1.15
% 0.96/1.15 Learnt:
% 0.96/1.15 #49: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #42 ), references = 1, size of lhs = 5:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V2,V3), sum-{F}(V0,V3,V4), V4 == V0 | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #55: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #43 ), references = 1, size of lhs = 5:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V0,V3), sum-{F}(V0,V3,V4), V0 == V4 | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #83: mergings( V3 == V4, V4 == V6, V5 == V7; #79 ), references = 1, size of lhs = 5:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V0), sum-{F}(V4,V3,V5), product-{F}(V2,V5,V6) | P_multiply-{T}(V2,V4,V6)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #108: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #102 ), references = 2, size of lhs = 7:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V3), product-{F}(V2,V4,V4), sum-{F}(V4,V5,V2), product-{F}(V3,V5,V6), sum-{F}(V4,V6,V7) | P_add-{T}(V4,V3,V7)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #113: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #103 ), references = 1, size of lhs = 7:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V3), product-{F}(V2,V4,V4), sum-{F}(V4,V5,V2), product-{F}(V3,V5,V6), sum-{F}(V4,V6,V7) | P_add-{T}(V4,V3,V7)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #125: mergings( V0 == V2, V2 == V4, V3 == V5; #121 ), references = 1, size of lhs = 2:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #149: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #138 ), references = 1, size of lhs = 6:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V2,V2), sum-{F}(V2,V0,V3), sum-{F}(V2,V4,V1), product-{F}(V2,V4,V0) | P_inverse-{T}(V4,V3)
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #170: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #155 ), references = 2, size of lhs = 5:
% 0.96/1.15 P_x-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V0,V1,V0), P_multiplicative_identity-{F}(V2), product-{F}(V2,V0,V0) | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #175: mergings( V1 == V2; #173 ), references = 1, size of lhs = 2:
% 0.96/1.15 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #178: mergings( V1 == V2; #176 ), references = 1, size of lhs = 1:
% 0.96/1.15 P_additive_identity-{F}(V0) | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 #180: exists( #25, #176 ), references = 1, size of lhs = 0:
% 0.96/1.15 FALSE | FALSE
% 0.96/1.15 (used 0 times, uses = {})
% 0.96/1.15
% 0.96/1.15 number of learnt formulas = 11
% 0.96/1.15
% 0.96/1.15
% 0.96/1.15 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.96/1.15
% 0.96/1.15 randbase = 1
%------------------------------------------------------------------------------