TSTP Solution File: NUM846+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM846+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:13:23 EDT 2022
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM846+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 23:15:56 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.60/0.76 GeoParameters:
% 0.60/0.76
% 0.60/0.76 tptp_input = 1
% 0.60/0.76 tptp_output = 0
% 0.60/0.76 nonempty = 1
% 0.60/0.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.60/0.76
% 0.60/0.76
% 0.60/0.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.76
% 0.60/0.76 RuleSystem INPUT:
% 0.60/0.76
% 0.60/0.76 Initial Rules:
% 0.60/0.76 #0: input, references = 4, size of lhs = 10:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V9), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #1: input, references = 3, size of lhs = 13:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), V11 == V5 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #2: input, references = 3, size of lhs = 16:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), V14 == V11 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #3: input, references = 4, size of lhs = 16:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), V4 == V8 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #4: input, references = 3, size of lhs = 20:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), V15 == V18 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #5: input, references = 3, size of lhs = 22:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), V20 == V15 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #6: input, references = 4, size of lhs = 24:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), V22 == V20 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #7: input, references = 3, size of lhs = 26:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vmul-{F}(V23,V24,V25), P_vmul-{F}(V24,V23,V26), V25 == V26 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #8: input, references = 3, size of lhs = 25:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vmul-{F}(V16,V23,V24), V24 == V23 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #9: input, references = 3, size of lhs = 25:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vmul-{F}(V23,V16,V24), V24 == V23 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #10: input, references = 3, size of lhs = 29:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vmul-{F}(V23,V16,V24), P_vsucc-{F}(V25,V26), P_vmul-{F}(V23,V26,V27), P_vmul-{F}(V23,V25,V28), P_vplus-{F}(V28,V23,V29), V27 == V29 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #11: input, references = 3, size of lhs = 25:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vplus-{F}(V24,V16,V25), less-{F}(V23,V25) | leq-{T}(V23,V24)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #12: input, references = 3, size of lhs = 25:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vplus-{F}(V24,V16,V25), greater-{F}(V23,V24) | geq-{T}(V23,V25)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #13: input, references = 3, size of lhs = 24:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), #-{F} V23 | geq-{T}(V23,V16)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #14: input, references = 3, size of lhs = 26:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vplus-{F}(V24,V23,V25), P_vplus-{F}(V23,V24,V26), V25 == V26 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #15: input, references = 3, size of lhs = 28:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vsucc-{F}(V23,V25), P_vplus-{F}(V25,V24,V26), P_vplus-{F}(V23,V24,V27), P_vsucc-{F}(V27,V28), V26 == V28 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #16: input, references = 3, size of lhs = 26:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vplus-{F}(V16,V23,V24), P_vsucc-{F}(V23,V25), V24 == V25 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #17: input, references = 3, size of lhs = 28:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vplus-{F}(V23,V24,V26), P_vplus-{F}(V26,V25,V27), P_vplus-{F}(V24,V25,V28), P_vplus-{F}(V23,V28,V29), V27 == V29 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #18: input, references = 3, size of lhs = 26:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vplus-{F}(V23,V16,V24), P_vsucc-{F}(V23,V25), V24 == V25 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #19: input, references = 3, size of lhs = 30:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vplus-{F}(V23,V16,V24), P_vsucc-{F}(V23,V25), P_vsucc-{F}(V26,V27), P_vplus-{F}(V23,V27,V28), P_vplus-{F}(V23,V26,V29), P_vsucc-{F}(V29,V30), V28 == V30 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #20: input, references = 3, size of lhs = 27:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vskolem2-{F}(V23,V24), P_vsucc-{F}(V24,V25), V23 == V16, V23 == V25 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #21: input, references = 3, size of lhs = 24:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vsucc-{F}(V23,V23) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #22: input, references = 3, size of lhs = 26:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V4,V0,V5), P_vmul-{F}(V0,V1,V6), P_vmul-{F}(V0,V2,V7), P_vplus-{F}(V6,V7,V8), P_vplus-{F}(V8,V0,V9), P_vsucc-{F}(V3,V10), P_vmul-{F}(V0,V10,V11), P_vsucc-{F}(V2,V12), P_vplus-{F}(V1,V12,V13), P_vmul-{F}(V0,V13,V14), P_vplus-{F}(V6,V0,V15), P_v1-{F}(V16), P_vmul-{F}(V0,V16,V17), P_vplus-{F}(V6,V17,V18), P_vsucc-{F}(V1,V19), P_vmul-{F}(V0,V19,V20), P_vplus-{F}(V1,V16,V21), P_vmul-{F}(V0,V21,V22), P_vsucc-{F}(V23,V26), P_vsucc-{F}(V24,V26), V23 == V24 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #23: input, references = 10, size of lhs = 2:
% 0.60/0.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_vplus-{T}(V0,V1,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #24: input, references = 10, size of lhs = 2:
% 0.60/0.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_vmul-{T}(V0,V1,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #25: input, references = 4, size of lhs = 0:
% 0.60/0.76 FALSE | EXISTS V0: P_vd436-{T}(V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #26: input, references = 4, size of lhs = 0:
% 0.60/0.76 FALSE | EXISTS V0: P_vd437-{T}(V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #27: input, references = 4, size of lhs = 0:
% 0.60/0.76 FALSE | EXISTS V0: P_vd439-{T}(V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #28: input, references = 6, size of lhs = 1:
% 0.60/0.76 #-{F} V0 | EXISTS V1: P_vsucc-{T}(V0,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #29: input, references = 3, size of lhs = 0:
% 0.60/0.76 FALSE | EXISTS V0: P_v1-{T}(V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #30: input, references = 3, size of lhs = 1:
% 0.60/0.76 #-{F} V0 | EXISTS V1: P_vskolem2-{T}(V0,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 number of initial rules = 31
% 0.60/0.76
% 0.60/0.76 Simplifiers:
% 0.60/0.76 #31: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 geq-{F}(V0,V1), geq-{F}(V2,V3), V1 == V3 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #32: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_vplus-{F}(V0,V1,V2), P_vplus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #33: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_vmul-{F}(V0,V1,V2), P_vmul-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #34: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_vd436-{F}(V0), P_vd436-{F}(V1), V0 == V1 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #35: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_vd437-{F}(V0), P_vd437-{F}(V1), V0 == V1 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #36: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_vd439-{F}(V0), P_vd439-{F}(V1), V0 == V1 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #37: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_vsucc-{F}(V0,V1), P_vsucc-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #38: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_v1-{F}(V0), P_v1-{F}(V1), V0 == V1 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #39: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_vskolem2-{F}(V0,V1), P_vskolem2-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 number of simplifiers = 9
% 0.60/0.76
% 0.60/0.76 Learnt:
% 0.60/0.76 #43: exists( #23, #3 ), references = 2, size of lhs = 15:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vmul-{F}(V0,V1,V5), P_vmul-{F}(V0,V2,V6), P_vplus-{F}(V5,V6,V7), V4 == V7, P_vplus-{F}(V7,V0,V8), P_vsucc-{F}(V3,V9), P_vmul-{F}(V0,V9,V10), P_vsucc-{F}(V2,V11), P_vplus-{F}(V1,V11,V12), P_vmul-{F}(V0,V12,V13) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #47: exists( #23, #43 ), references = 1, size of lhs = 14:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vmul-{F}(V0,V1,V5), P_vmul-{F}(V0,V2,V6), P_vplus-{F}(V5,V6,V7), V4 == V7, P_vsucc-{F}(V3,V8), P_vmul-{F}(V0,V8,V9), P_vsucc-{F}(V2,V10), P_vplus-{F}(V1,V10,V11), P_vmul-{F}(V0,V11,V12) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #49: exists( #23, #44 ), references = 1, size of lhs = 12:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vmul-{F}(V0,V1,V5), P_vmul-{F}(V0,V2,V6), P_vsucc-{F}(V3,V7), P_vmul-{F}(V0,V7,V8), P_vsucc-{F}(V2,V9), P_vplus-{F}(V1,V9,V10), P_vmul-{F}(V0,V10,V11) | P_vplus-{T}(V5,V6,V4)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #53: exists( #23, #0 ), references = 1, size of lhs = 8:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vmul-{F}(V0,V1,V5), P_vmul-{F}(V0,V2,V6), P_vplus-{F}(V5,V6,V4) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #54: exists( #23, #6 ), references = 1, size of lhs = 21:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2), P_vplus-{F}(V1,V2,V3), P_vmul-{F}(V0,V3,V4), P_vmul-{F}(V0,V1,V4), P_vmul-{F}(V0,V2,V5), P_vplus-{F}(V4,V5,V4), P_vsucc-{F}(V3,V6), P_vmul-{F}(V0,V6,V7), P_vsucc-{F}(V2,V8), P_vplus-{F}(V1,V8,V9), P_vmul-{F}(V0,V9,V10), P_v1-{F}(V11), P_vmul-{F}(V0,V11,V12), P_vplus-{F}(V4,V12,V13), P_vsucc-{F}(V1,V14), P_vmul-{F}(V0,V14,V15), P_vplus-{F}(V1,V11,V16), P_vmul-{F}(V0,V16,V17), V17 == V15 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #63: mergings( V0 == V12, V3 == V13, V4 == V14, V5 == V15; #57 ), references = 2, size of lhs = 11:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3), P_vsucc-{F}(V3,V4), P_vplus-{F}(V1,V4,V5), P_vmul-{F}(V0,V3,V6), P_vplus-{F}(V1,V3,V7), P_vsucc-{F}(V7,V8), P_vmul-{F}(V0,V8,V9), P_vmul-{F}(V0,V7,V10) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #70: mergings( V3 == V11, V4 == V12, V5 == V13, V8 == V14, V9 == V15, V10 == V16; #58 ), references = 1, size of lhs = 18:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3), P_vmul-{F}(V0,V3,V4), P_vplus-{F}(V1,V3,V5), P_vmul-{F}(V0,V5,V2), P_vsucc-{F}(V5,V6), P_vmul-{F}(V0,V6,V7), P_vsucc-{F}(V3,V8), P_vplus-{F}(V1,V8,V9), P_v1-{F}(V10), P_vmul-{F}(V0,V10,V4), P_vsucc-{F}(V1,V11), P_vmul-{F}(V0,V11,V12), P_vplus-{F}(V1,V10,V13), P_vmul-{F}(V0,V13,V14), V14 == V12 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #77: mergings( V0 == V11, V3 == V12, V4 == V13, V5 == V14; #71 ), references = 2, size of lhs = 10:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3), P_vsucc-{F}(V3,V4), P_vplus-{F}(V1,V4,V5), P_vmul-{F}(V0,V3,V6), P_vplus-{F}(V1,V3,V7), P_vsucc-{F}(V7,V8), P_vmul-{F}(V0,V7,V9) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #83: mergings( V3 == V10, V0 == V11, V4 == V12, V5 == V13; #78 ), references = 2, size of lhs = 9:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3), P_vsucc-{F}(V3,V4), P_vmul-{F}(V0,V3,V5), P_vplus-{F}(V1,V3,V6), P_vsucc-{F}(V6,V7), P_vmul-{F}(V0,V6,V8) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #86: mergings( V3 == V4; #84 ), references = 1, size of lhs = 5:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V1), P_vplus-{F}(V1,V1,V1), P_vsucc-{F}(V1,V2) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #90: exists( #24, #83 ), references = 1, size of lhs = 8:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3), P_vsucc-{F}(V3,V4), P_vmul-{F}(V0,V3,V5), P_vplus-{F}(V1,V3,V6), P_vsucc-{F}(V6,V7) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #91: exists( #24, #77 ), references = 1, size of lhs = 9:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3), P_vsucc-{F}(V3,V4), P_vplus-{F}(V1,V4,V5), P_vmul-{F}(V0,V3,V6), P_vplus-{F}(V1,V3,V7), P_vsucc-{F}(V7,V8) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #92: exists( #24, #63 ), references = 1, size of lhs = 10:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3), P_vsucc-{F}(V3,V4), P_vplus-{F}(V1,V4,V5), P_vmul-{F}(V0,V3,V6), P_vplus-{F}(V1,V3,V7), P_vsucc-{F}(V7,V8), P_vmul-{F}(V0,V8,V9) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #95: exists( #28, #87 ), references = 2, size of lhs = 7:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3), P_vsucc-{F}(V3,V4), P_vmul-{F}(V0,V3,V5), P_vplus-{F}(V1,V3,V6) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #98: exists( #24, #93 ), references = 1, size of lhs = 5:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V1), P_vsucc-{F}(V1,V2), P_vplus-{F}(V1,V1,V3) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #100: exists( #23, #96 ), references = 1, size of lhs = 4:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V1), P_vsucc-{F}(V1,V2) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #102: exists( #28, #99 ), references = 1, size of lhs = 3:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V1) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #106: exists( #24, #95 ), references = 1, size of lhs = 6:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3), P_vsucc-{F}(V3,V4), P_vplus-{F}(V1,V3,V5) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #108: exists( #23, #103 ), references = 1, size of lhs = 5:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3), P_vsucc-{F}(V3,V4) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #110: exists( #28, #107 ), references = 1, size of lhs = 4:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vmul-{F}(V0,V1,V2), P_vd439-{F}(V3) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #112: exists( #24, #109 ), references = 1, size of lhs = 3:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1), P_vd439-{F}(V2) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #114: exists( #27, #111 ), references = 1, size of lhs = 2:
% 0.60/0.76 P_vd436-{F}(V0), P_vd437-{F}(V1) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #116: exists( #26, #113 ), references = 1, size of lhs = 1:
% 0.60/0.76 P_vd436-{F}(V0) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #118: exists( #25, #115 ), references = 1, size of lhs = 0:
% 0.60/0.76 FALSE | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 number of learnt formulas = 24
% 0.60/0.76
% 0.60/0.76
% 0.60/0.76 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.76
% 0.60/0.76 randbase = 1
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