%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG008-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:14:52 EDT 2022
% Result : Unsatisfiable 1.04s 1.20s
% Output : Refutation 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG008-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 07:39:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.04/1.20 GeoParameters:
% 1.04/1.20
% 1.04/1.20 tptp_input = 1
% 1.04/1.20 tptp_output = 0
% 1.04/1.20 nonempty = 1
% 1.04/1.20 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.20 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.04/1.20
% 1.04/1.20
% 1.04/1.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.20
% 1.04/1.20 RuleSystem INPUT:
% 1.04/1.20
% 1.04/1.20 Initial Rules:
% 1.04/1.20 #0: input, references = 8, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #1: input, references = 4, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #2: input, references = 11, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #3: input, references = 18, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #4: input, references = 4, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #5: input, references = 4, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #6: input, references = 7, size of lhs = 4:
% 1.04/1.20 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)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #7: input, references = 3, size of lhs = 4:
% 1.04/1.20 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)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #8: input, references = 8, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #9: input, references = 8, size of lhs = 4:
% 1.04/1.20 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)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #10: input, references = 6, size of lhs = 4:
% 1.04/1.20 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)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #11: input, references = 4, size of lhs = 5:
% 1.04/1.20 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)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #12: input, references = 8, size of lhs = 5:
% 1.04/1.20 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)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #13: input, references = 4, size of lhs = 5:
% 1.04/1.20 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)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #14: input, references = 7, size of lhs = 5:
% 1.04/1.20 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)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #15: input, references = 4, size of lhs = 4:
% 1.04/1.20 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #16: input, references = 7, size of lhs = 4:
% 1.04/1.20 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #17: input, references = 6, size of lhs = 4:
% 1.04/1.20 P_additive_identity-{F}(V0), sum-{F}(V4,V1,V3), sum-{F}(V4,V2,V3), V1 == V2 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #18: input, references = 6, size of lhs = 4:
% 1.04/1.20 P_additive_identity-{F}(V0), sum-{F}(V3,V1,V2), sum-{F}(V4,V1,V2), V4 == V3 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #19: input, references = 13, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V1,V1)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #20: input, references = 5, size of lhs = 4:
% 1.04/1.20 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | product-{T}(V1,V2,V3)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #21: input, references = 5, size of lhs = 5:
% 1.04/1.20 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), product-{F}(V2,V1,V3) | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #22: input, references = 4, size of lhs = 0:
% 1.04/1.20 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #23: input, references = 7, size of lhs = 2:
% 1.04/1.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #24: input, references = 7, size of lhs = 2:
% 1.04/1.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #25: input, references = 4, size of lhs = 1:
% 1.04/1.20 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #26: input, references = 4, size of lhs = 0:
% 1.04/1.20 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #27: input, references = 5, size of lhs = 0:
% 1.04/1.20 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #28: input, references = 5, size of lhs = 0:
% 1.04/1.20 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 number of initial rules = 29
% 1.04/1.20
% 1.04/1.20 Simplifiers:
% 1.04/1.20 #29: unsound, references = 3, size of lhs = 3:
% 1.04/1.20 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #30: unsound, references = 3, size of lhs = 3:
% 1.04/1.20 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #31: unsound, references = 3, size of lhs = 3:
% 1.04/1.20 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #32: unsound, references = 3, size of lhs = 3:
% 1.04/1.20 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #33: unsound, references = 3, size of lhs = 3:
% 1.04/1.20 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #34: unsound, references = 3, size of lhs = 3:
% 1.04/1.20 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #35: unsound, references = 3, size of lhs = 3:
% 1.04/1.20 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 number of simplifiers = 7
% 1.04/1.20
% 1.04/1.20 Learnt:
% 1.04/1.20 #43: mergings( V1 == V4, V4 == V5; #40 ), references = 2, size of lhs = 7:
% 1.04/1.20 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V2), product-{F}(V3,V1,V4), sum-{F}(V0,V3,V5), product-{F}(V5,V1,V6), sum-{F}(V7,V4,V6) | P_c-{T}(V7)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #49: mergings( V3 == V4; #47 ), references = 1, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #72: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #65 ), references = 10, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), product-{F}(V1,V1,V1) | P_add-{T}(V1,V1,V0)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #86: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #80 ), references = 1, size of lhs = 2:
% 1.04/1.20 P_a-{F}(V0), P_additive_identity-{F}(V0) | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #93: mergings( V2 == V3; #90 ), references = 1, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V0) | P_additive_inverse-{T}(V1,V2)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #95: mergings( V2 == V3; #91 ), references = 1, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V0) | P_additive_inverse-{T}(V2,V1)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #103: mergings( V3 == V4; #101 ), references = 1, size of lhs = 2:
% 1.04/1.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | P_add-{T}(V1,V2,V3)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #134: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #121 ), references = 3, size of lhs = 8:
% 1.04/1.20 P_additive_identity-{F}(V0), sum-{F}(V0,V1,V2), product-{F}(V2,V3,V3), sum-{F}(V1,V3,V4), product-{F}(V5,V3,V3), product-{F}(V5,V6,V6), sum-{F}(V4,V6,V5), product-{F}(V2,V6,V6) | P_add-{T}(V6,V3,V0)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #168: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #159 ), references = 2, size of lhs = 6:
% 1.04/1.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V2), product-{F}(V1,V3,V3), sum-{F}(V0,V3,V1), product-{F}(V2,V4,V3), product-{F}(V5,V3,V4) | P_multiply-{T}(V2,V5,V3)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #177: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #160 ), references = 1, size of lhs = 7:
% 1.04/1.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V2), product-{F}(V1,V3,V3), sum-{F}(V0,V3,V1), sum-{F}(V3,V4,V0), product-{F}(V2,V5,V3), product-{F}(V6,V3,V5) | P_multiply-{T}(V2,V6,V4)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #201: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #192 ), references = 2, size of lhs = 4:
% 1.04/1.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V1), product-{F}(V3,V1,V0), product-{F}(V2,V4,V3) | P_multiply-{T}(V4,V1,V0)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #246: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #233 ), references = 2, size of lhs = 13:
% 1.04/1.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V1), product-{F}(V3,V1,V0), product-{F}(V2,V4,V5), sum-{F}(V6,V5,V3), product-{F}(V2,V7,V6), sum-{F}(V8,V4,V9), sum-{F}(V9,V7,V10), sum-{F}(V0,V8,V11), product-{F}(V10,V1,V12), sum-{F}(V0,V12,V13), product-{F}(V11,V1,V14), V14 == V13 | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #252: mergings( V3 == V4; #250 ), references = 1, size of lhs = 11:
% 1.04/1.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V1), product-{F}(V3,V1,V0), product-{F}(V2,V4,V5), sum-{F}(V6,V5,V3), product-{F}(V2,V7,V6), sum-{F}(V8,V4,V9), sum-{F}(V9,V7,V10), sum-{F}(V0,V8,V11), product-{F}(V10,V1,V12), sum-{F}(V0,V12,V13) | P_multiply-{T}(V11,V1,V13)
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #274: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V5 == V13; #263 ), references = 1, size of lhs = 7:
% 1.04/1.20 P_additive_identity-{F}(V0), P_a-{F}(V1), product-{F}(V1,V1,V1), product-{F}(V0,V1,V0), P_b-{F}(V2), sum-{F}(V0,V3,V2), sum-{F}(V3,V2,V0) | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #291: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #279 ), references = 2, size of lhs = 4:
% 1.04/1.20 P_additive_identity-{F}(V0), P_a-{F}(V1), product-{F}(V1,V1,V1), product-{F}(V0,V1,V0) | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #300: mergings( V1 == V2, V2 == V3, V3 == V4; #296 ), references = 1, size of lhs = 1:
% 1.04/1.20 P_additive_identity-{F}(V0) | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 #302: exists( #22, #296 ), references = 1, size of lhs = 0:
% 1.04/1.20 FALSE | FALSE
% 1.04/1.20 (used 0 times, uses = {})
% 1.04/1.20
% 1.04/1.20 number of learnt formulas = 17
% 1.04/1.20
% 1.04/1.20
% 1.04/1.20 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.20
% 1.04/1.20 randbase = 1
%------------------------------------------------------------------------------