%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG037-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 3.14s 3.34s
% Output : Refutation 3.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 07:57:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.14/3.34 GeoParameters:
% 3.14/3.34
% 3.14/3.34 tptp_input = 1
% 3.14/3.34 tptp_output = 0
% 3.14/3.34 nonempty = 1
% 3.14/3.34 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.14/3.34 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.14/3.34
% 3.14/3.34
% 3.14/3.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.14/3.34 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.14/3.34
% 3.14/3.34 RuleSystem INPUT:
% 3.14/3.34
% 3.14/3.34 Initial Rules:
% 3.14/3.34 #0: input, references = 3, size of lhs = 3:
% 3.14/3.34 P_additive_inverse-{F}(V0,V2), P_additive_inverse-{F}(V1,V3), equalish-{F}(V0,V1) | equalish-{T}(V2,V3)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #1: input, references = 3, size of lhs = 3:
% 3.14/3.34 equalish-{F}(V0,V1), P_add-{F}(V0,V2,V3), P_add-{F}(V1,V2,V4) | equalish-{T}(V3,V4)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #2: input, references = 4, size of lhs = 2:
% 3.14/3.34 equalish-{F}(V3,V0), sum-{F}(V3,V1,V2) | sum-{T}(V0,V1,V2)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #3: input, references = 4, size of lhs = 2:
% 3.14/3.34 equalish-{F}(V3,V0), sum-{F}(V1,V3,V2) | sum-{T}(V1,V0,V2)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #4: input, references = 4, size of lhs = 2:
% 3.14/3.34 equalish-{F}(V3,V0), sum-{F}(V1,V2,V3) | sum-{T}(V1,V2,V0)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #5: input, references = 3, size of lhs = 3:
% 3.14/3.34 equalish-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V1,V2,V4) | equalish-{T}(V3,V4)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #6: input, references = 3, size of lhs = 2:
% 3.14/3.34 equalish-{F}(V3,V0), product-{F}(V3,V1,V2) | product-{T}(V0,V1,V2)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #7: input, references = 3, size of lhs = 2:
% 3.14/3.34 equalish-{F}(V3,V0), product-{F}(V1,V3,V2) | product-{T}(V1,V0,V2)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #8: input, references = 3, size of lhs = 2:
% 3.14/3.34 equalish-{F}(V3,V0), product-{F}(V1,V2,V3) | product-{T}(V1,V2,V0)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #9: input, references = 3, size of lhs = 2:
% 3.14/3.34 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #10: input, references = 3, size of lhs = 2:
% 3.14/3.34 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #11: input, references = 3, size of lhs = 2:
% 3.14/3.34 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #12: input, references = 5, size of lhs = 2:
% 3.14/3.34 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #13: input, references = 3, size of lhs = 4:
% 3.14/3.34 P_additive_identity-{F}(V0), sum-{F}(V3,V2,V1), sum-{F}(V5,V2,V4), sum-{F}(V6,V5,V3) | sum-{T}(V6,V4,V1)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #14: input, references = 3, size of lhs = 4:
% 3.14/3.34 P_additive_identity-{F}(V0), sum-{F}(V5,V2,V4), sum-{F}(V6,V5,V3), sum-{F}(V6,V4,V1) | sum-{T}(V3,V2,V1)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #15: input, references = 4, size of lhs = 2:
% 3.14/3.34 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #16: input, references = 3, size of lhs = 4:
% 3.14/3.34 P_additive_identity-{F}(V0), product-{F}(V3,V2,V1), product-{F}(V5,V2,V4), product-{F}(V6,V5,V3) | product-{T}(V6,V4,V1)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #17: input, references = 3, size of lhs = 4:
% 3.14/3.34 P_additive_identity-{F}(V0), product-{F}(V5,V2,V4), product-{F}(V6,V5,V3), product-{F}(V6,V4,V1) | product-{T}(V3,V2,V1)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #18: input, references = 5, size of lhs = 5:
% 3.14/3.34 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)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #19: input, references = 3, size of lhs = 5:
% 3.14/3.34 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)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #20: input, references = 3, size of lhs = 5:
% 3.14/3.34 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)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #21: input, references = 3, size of lhs = 5:
% 3.14/3.34 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)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #22: input, references = 3, size of lhs = 3:
% 3.14/3.34 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2) | equalish-{T}(V1,V2)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #23: input, references = 5, size of lhs = 3:
% 3.14/3.34 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2) | equalish-{T}(V1,V2)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #24: input, references = 5, size of lhs = 2:
% 3.14/3.34 P_additive_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V0)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #25: input, references = 4, size of lhs = 2:
% 3.14/3.34 P_additive_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V0)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #26: input, references = 5, size of lhs = 4:
% 3.14/3.34 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_d-{F}(V3) | product-{T}(V1,V2,V3)
% 3.14/3.34 (used 0 times, uses = {})
% 3.14/3.34
% 3.14/3.34 #27: input, references = 6, size of lhs = 6:
% 3.14/3.34 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_d-{F}(V3), P_additive_inverse-{F}(V2,V4), P_c-{F}(V5) | product-{T}(V1,V4,V5)
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #28: input, references = 7, size of lhs = 7:
% 3.14/3.35 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_d-{F}(V3), P_additive_inverse-{F}(V2,V4), P_c-{F}(V5), sum-{F}(V5,V3,V0) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #29: input, references = 7, size of lhs = 1:
% 3.14/3.35 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #30: input, references = 3, size of lhs = 2:
% 3.14/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #31: input, references = 3, size of lhs = 2:
% 3.14/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #32: input, references = 4, size of lhs = 0:
% 3.14/3.35 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #33: input, references = 4, size of lhs = 0:
% 3.14/3.35 FALSE | EXISTS V0: P_a-{T}(V0)
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #34: input, references = 5, size of lhs = 0:
% 3.14/3.35 FALSE | EXISTS V0: P_b-{T}(V0)
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #35: input, references = 5, size of lhs = 0:
% 3.14/3.35 FALSE | EXISTS V0: P_d-{T}(V0)
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #36: input, references = 5, size of lhs = 0:
% 3.14/3.35 FALSE | EXISTS V0: P_c-{T}(V0)
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 number of initial rules = 37
% 3.14/3.35
% 3.14/3.35 Simplifiers:
% 3.14/3.35 #37: unsound, references = 3, size of lhs = 3:
% 3.14/3.35 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #38: unsound, references = 3, size of lhs = 3:
% 3.14/3.35 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #39: unsound, references = 3, size of lhs = 3:
% 3.14/3.35 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #40: unsound, references = 3, size of lhs = 3:
% 3.14/3.35 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #41: unsound, references = 3, size of lhs = 3:
% 3.14/3.35 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #42: unsound, references = 3, size of lhs = 3:
% 3.14/3.35 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #43: unsound, references = 3, size of lhs = 3:
% 3.14/3.35 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #44: unsound, references = 3, size of lhs = 3:
% 3.14/3.35 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 number of simplifiers = 8
% 3.14/3.35
% 3.14/3.35 Learnt:
% 3.14/3.35 #46: exists( #29, #28 ), references = 1, size of lhs = 6:
% 3.14/3.35 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_d-{F}(V3), P_c-{F}(V4), sum-{F}(V4,V3,V0) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #76: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V4 == V8; #70 ), references = 1, size of lhs = 7:
% 3.14/3.35 P_additive_identity-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), P_c-{F}(V3), sum-{F}(V0,V2,V4), equalish-{F}(V4,V0) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #87: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V6, V3 == V8; #80 ), references = 1, size of lhs = 6:
% 3.14/3.35 P_additive_identity-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_d-{F}(V2), sum-{F}(V0,V2,V3), equalish-{F}(V3,V0) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #107: mergings( V1 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V2 == V8, V8 == V9, V3 == V10; #97 ), references = 2, size of lhs = 6:
% 3.14/3.35 P_additive_identity-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), product-{F}(V0,V1,V2), sum-{F}(V0,V2,V3), equalish-{F}(V3,V0) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #116: exists( #34, #114 ), references = 1, size of lhs = 4:
% 3.14/3.35 P_additive_identity-{F}(V0), P_a-{F}(V0), sum-{F}(V0,V0,V1), equalish-{F}(V1,V0) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #236: mergings( V2 == V3, V3 == V7, V7 == V8, V4 == V9, V5 == V6, V6 == V10; #229 ), references = 1, size of lhs = 7:
% 3.14/3.35 P_d-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), product-{F}(V2,V1,V1), P_b-{F}(V3), product-{F}(V2,V3,V0) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #316: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8, V4 == V9, V5 == V10; #309 ), references = 1, size of lhs = 7:
% 3.14/3.35 P_additive_identity-{F}(V0), P_a-{F}(V1), product-{F}(V1,V0,V0), P_b-{F}(V2), P_d-{F}(V3), product-{F}(V1,V2,V3), P_c-{F}(V4) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #329: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V7, V3 == V8, V4 == V10; #321 ), references = 1, size of lhs = 6:
% 3.14/3.35 P_additive_identity-{F}(V0), P_a-{F}(V1), product-{F}(V1,V0,V0), P_b-{F}(V2), P_d-{F}(V3), product-{F}(V1,V2,V3) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #344: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V4 == V8; #336 ), references = 1, size of lhs = 4:
% 3.14/3.35 P_additive_identity-{F}(V0), P_a-{F}(V1), product-{F}(V1,V0,V0), P_b-{F}(V2) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #358: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V4 == V8; #350 ), references = 1, size of lhs = 3:
% 3.14/3.35 P_additive_identity-{F}(V0), P_a-{F}(V1), product-{F}(V1,V0,V0) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #372: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #366 ), references = 1, size of lhs = 1:
% 3.14/3.35 P_additive_identity-{F}(V0) | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 #375: exists( #32, #366 ), references = 1, size of lhs = 0:
% 3.14/3.35 FALSE | FALSE
% 3.14/3.35 (used 0 times, uses = {})
% 3.14/3.35
% 3.14/3.35 number of learnt formulas = 12
% 3.14/3.35
% 3.14/3.35
% 3.14/3.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.14/3.35
% 3.14/3.35 randbase = 1
%------------------------------------------------------------------------------