%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG038-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:14:57 EDT 2022
% Result : Unsatisfiable 0.38s 0.62s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG038-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 07:41:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/0.62 GeoParameters:
% 0.38/0.62
% 0.38/0.62 tptp_input = 1
% 0.38/0.62 tptp_output = 0
% 0.38/0.62 nonempty = 1
% 0.38/0.62 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.62 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.38/0.62
% 0.38/0.62
% 0.38/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.62
% 0.38/0.62 RuleSystem INPUT:
% 0.38/0.62
% 0.38/0.62 Initial Rules:
% 0.38/0.62 #0: input, references = 6, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #1: input, references = 6, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #2: input, references = 6, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #3: input, references = 6, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #4: input, references = 5, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #5: input, references = 3, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #6: input, references = 3, size of lhs = 4:
% 0.38/0.62 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)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #7: input, references = 4, size of lhs = 4:
% 0.38/0.62 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)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #8: input, references = 3, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #9: input, references = 3, size of lhs = 4:
% 0.38/0.62 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)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #10: input, references = 3, size of lhs = 4:
% 0.38/0.62 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)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #11: input, references = 3, size of lhs = 5:
% 0.38/0.62 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)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #12: input, references = 3, size of lhs = 5:
% 0.38/0.62 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)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #13: input, references = 5, size of lhs = 5:
% 0.38/0.62 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)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #14: input, references = 6, size of lhs = 5:
% 0.38/0.62 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)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #15: input, references = 8, size of lhs = 4:
% 0.38/0.62 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #16: input, references = 5, size of lhs = 4:
% 0.38/0.62 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #17: input, references = 4, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), P_h-{F}(V0,V2,V3) | product-{T}(V0,V3,V2)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #18: input, references = 3, size of lhs = 3:
% 0.38/0.62 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | product-{T}(V1,V2,V0)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #19: input, references = 4, size of lhs = 3:
% 0.38/0.62 P_additive_identity-{F}(V0), P_a-{F}(V0), P_b-{F}(V2) | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #20: input, references = 3, size of lhs = 3:
% 0.38/0.62 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V0) | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #21: input, references = 4, size of lhs = 0:
% 0.38/0.62 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #22: input, references = 5, size of lhs = 2:
% 0.38/0.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #23: input, references = 5, size of lhs = 2:
% 0.38/0.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #24: input, references = 5, size of lhs = 1:
% 0.38/0.62 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #25: input, references = 4, size of lhs = 2:
% 0.38/0.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_h-{T}(V0,V1,V2)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #26: input, references = 4, size of lhs = 0:
% 0.38/0.62 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #27: input, references = 4, size of lhs = 0:
% 0.38/0.62 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 number of initial rules = 28
% 0.38/0.62
% 0.38/0.62 Simplifiers:
% 0.38/0.62 #28: unsound, references = 3, size of lhs = 3:
% 0.38/0.62 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #29: unsound, references = 3, size of lhs = 3:
% 0.38/0.62 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #30: unsound, references = 3, size of lhs = 3:
% 0.38/0.62 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #31: unsound, references = 3, size of lhs = 3:
% 0.38/0.62 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #32: unsound, references = 3, size of lhs = 3:
% 0.38/0.62 P_h-{F}(V0,V1,V2), P_h-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #33: unsound, references = 3, size of lhs = 3:
% 0.38/0.62 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #34: unsound, references = 3, size of lhs = 3:
% 0.38/0.62 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 number of simplifiers = 7
% 0.38/0.62
% 0.38/0.62 Learnt:
% 0.38/0.62 #36: exists( #27, #19 ), references = 2, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), P_a-{F}(V0) | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #53: mergings( V0 == V2, V2 == V3; #50 ), references = 1, size of lhs = 1:
% 0.38/0.62 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #57: mergings( V3 == V4; #55 ), references = 1, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | P_add-{T}(V1,V2,V3)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #66: mergings( V3 == V4; #64 ), references = 1, size of lhs = 2:
% 0.38/0.62 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #75: mergings( V0 == V3, V3 == V4; #72 ), references = 2, size of lhs = 4:
% 0.38/0.62 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), sum-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #103: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #97 ), references = 1, size of lhs = 6:
% 0.38/0.62 P_additive_identity-{F}(V0), product-{F}(V1,V2,V0), product-{F}(V3,V2,V0), sum-{F}(V4,V1,V5), sum-{F}(V5,V3,V6), product-{F}(V6,V2,V7) | P_multiply-{T}(V4,V2,V7)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #109: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #98 ), references = 1, size of lhs = 6:
% 0.38/0.62 P_additive_identity-{F}(V0), product-{F}(V1,V2,V0), product-{F}(V3,V2,V0), sum-{F}(V4,V1,V5), sum-{F}(V3,V5,V6), product-{F}(V6,V2,V7) | P_multiply-{T}(V4,V2,V7)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #115: mergings( V2 == V3; #113 ), references = 1, size of lhs = 3:
% 0.38/0.62 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), #-{F} V1 | P_add-{T}(V1,V1,V1)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #123: mergings( V2 == V3, V3 == V4; #120 ), references = 1, size of lhs = 4:
% 0.38/0.62 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V1), sum-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #129: exists( #21, #127 ), references = 2, size of lhs = 1:
% 0.38/0.62 #-{F} V0 | P_additive_identity-{T}(V0)
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 #132: exists( #26, #130 ), references = 1, size of lhs = 0:
% 0.38/0.62 FALSE | FALSE
% 0.38/0.62 (used 0 times, uses = {})
% 0.38/0.62
% 0.38/0.62 number of learnt formulas = 11
% 0.38/0.62
% 0.38/0.62
% 0.38/0.62 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.62
% 0.38/0.62 randbase = 1
%------------------------------------------------------------------------------