%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR077+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:42:41 AM UTC 2026
% Result : Theorem 3.68s 0.97s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 16 unt; 2 def)
% Number of atoms : 1401 (1318 equ)
% Maximal formula atoms : 1275 ( 31 avg)
% Number of connectives : 2681 (1325 ~; 52 |;1296 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 1276 ( 32 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 58 ( 7 usr; 55 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3247,axiom,
! [X0,X1] :
( ( s__AbsoluteValueFn(X1) = X0
& s__instance(X1,s__RealNumber)
& s__instance(X0,s__RealNumber) )
<=> ( ( s__instance(X1,s__NonnegativeRealNumber)
& X1 = X0 )
| ( s__instance(X1,s__NegativeRealNumber)
& X0 = minus("0",X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_3259) ).
fof(f3410,axiom,
! [X0] :
( s__instance(X0,s__RealNumber)
=> ( s__instance(X0,s__NonnegativeRealNumber)
=> ( s__SignumFn(X0) = "1"
| s__SignumFn(X0) = "0" ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_3422) ).
fof(f3412,axiom,
! [X0] :
( s__instance(X0,s__RealNumber)
=> ( s__instance(X0,s__NegativeRealNumber)
=> s__SignumFn(X0) = "-1" ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_3424) ).
fof(f7218,axiom,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).
fof(f7219,conjecture,
~ s__instance(s__Number3_1,s__NegativeRealNumber),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).
fof(f7220,negated_conjecture,
~ ~ s__instance(s__Number3_1,s__NegativeRealNumber),
inference(negated_conjecture,[status(cth)],[f7219]) ).
fof(f7221,plain,
( "1" != "2"
& "1" != "3"
& "2" != "3"
& "1" != "-1"
& "2" != "-1"
& "3" != "-1"
& "1" != "0"
& "2" != "0"
& "3" != "0"
& "-1" != "0"
& "1" != "4"
& "2" != "4"
& "3" != "4"
& "-1" != "4"
& "0" != "4"
& "1" != "5"
& "2" != "5"
& "3" != "5"
& "-1" != "5"
& "0" != "5"
& "4" != "5"
& "1" != "0.5"
& "2" != "0.5"
& "3" != "0.5"
& "-1" != "0.5"
& "0" != "0.5"
& "4" != "0.5"
& "5" != "0.5"
& "1" != "1000"
& "2" != "1000"
& "3" != "1000"
& "-1" != "1000"
& "0" != "1000"
& "4" != "1000"
& "5" != "1000"
& "0.5" != "1000"
& "1" != "1000000"
& "2" != "1000000"
& "3" != "1000000"
& "-1" != "1000000"
& "0" != "1000000"
& "4" != "1000000"
& "5" != "1000000"
& "0.5" != "1000000"
& "1000" != "1000000"
& "1" != "1000000000"
& "2" != "1000000000"
& "3" != "1000000000"
& "-1" != "1000000000"
& "0" != "1000000000"
& "4" != "1000000000"
& "5" != "1000000000"
& "0.5" != "1000000000"
& "1000" != "1000000000"
& "1000000" != "1000000000"
& "1" != "1000000000000"
& "2" != "1000000000000"
& "3" != "1000000000000"
& "-1" != "1000000000000"
& "0" != "1000000000000"
& "4" != "1000000000000"
& "5" != "1000000000000"
& "0.5" != "1000000000000"
& "1000" != "1000000000000"
& "1000000" != "1000000000000"
& "1000000000" != "1000000000000"
& "1" != "0.001"
& "2" != "0.001"
& "3" != "0.001"
& "-1" != "0.001"
& "0" != "0.001"
& "4" != "0.001"
& "5" != "0.001"
& "0.5" != "0.001"
& "1000" != "0.001"
& "1000000" != "0.001"
& "1000000000" != "0.001"
& "1000000000000" != "0.001"
& "1" != "0.000001"
& "2" != "0.000001"
& "3" != "0.000001"
& "-1" != "0.000001"
& "0" != "0.000001"
& "4" != "0.000001"
& "5" != "0.000001"
& "0.5" != "0.000001"
& "1000" != "0.000001"
& "1000000" != "0.000001"
& "1000000000" != "0.000001"
& "1000000000000" != "0.000001"
& "0.001" != "0.000001"
& "1" != "0.000000001"
& "2" != "0.000000001"
& "3" != "0.000000001"
& "-1" != "0.000000001"
& "0" != "0.000000001"
& "4" != "0.000000001"
& "5" != "0.000000001"
& "0.5" != "0.000000001"
& "1000" != "0.000000001"
& "1000000" != "0.000000001"
& "1000000000" != "0.000000001"
& "1000000000000" != "0.000000001"
& "0.001" != "0.000000001"
& "0.000001" != "0.000000001"
& "1" != "0.000000000001"
& "2" != "0.000000000001"
& "3" != "0.000000000001"
& "-1" != "0.000000000001"
& "0" != "0.000000000001"
& "4" != "0.000000000001"
& "5" != "0.000000000001"
& "0.5" != "0.000000000001"
& "1000" != "0.000000000001"
& "1000000" != "0.000000000001"
& "1000000000" != "0.000000000001"
& "1000000000000" != "0.000000000001"
& "0.001" != "0.000000000001"
& "0.000001" != "0.000000000001"
& "0.000000001" != "0.000000000001"
& "1" != "0.01"
& "2" != "0.01"
& "3" != "0.01"
& "-1" != "0.01"
& "0" != "0.01"
& "4" != "0.01"
& "5" != "0.01"
& "0.5" != "0.01"
& "1000" != "0.01"
& "1000000" != "0.01"
& "1000000000" != "0.01"
& "1000000000000" != "0.01"
& "0.001" != "0.01"
& "0.000001" != "0.01"
& "0.000000001" != "0.01"
& "0.000000000001" != "0.01"
& "1" != "746"
& "2" != "746"
& "3" != "746"
& "-1" != "746"
& "0" != "746"
& "4" != "746"
& "5" != "746"
& "0.5" != "746"
& "1000" != "746"
& "1000000" != "746"
& "1000000000" != "746"
& "1000000000000" != "746"
& "0.001" != "746"
& "0.000001" != "746"
& "0.000000001" != "746"
& "0.000000000001" != "746"
& "0.01" != "746"
& "1" != "273.15"
& "2" != "273.15"
& "3" != "273.15"
& "-1" != "273.15"
& "0" != "273.15"
& "4" != "273.15"
& "5" != "273.15"
& "0.5" != "273.15"
& "1000" != "273.15"
& "1000000" != "273.15"
& "1000000000" != "273.15"
& "1000000000000" != "273.15"
& "0.001" != "273.15"
& "0.000001" != "273.15"
& "0.000000001" != "273.15"
& "0.000000000001" != "273.15"
& "0.01" != "273.15"
& "746" != "273.15"
& "1" != "32"
& "2" != "32"
& "3" != "32"
& "-1" != "32"
& "0" != "32"
& "4" != "32"
& "5" != "32"
& "0.5" != "32"
& "1000" != "32"
& "1000000" != "32"
& "1000000000" != "32"
& "1000000000000" != "32"
& "0.001" != "32"
& "0.000001" != "32"
& "0.000000001" != "32"
& "0.000000000001" != "32"
& "0.01" != "32"
& "746" != "32"
& "273.15" != "32"
& "1" != "1.8"
& "2" != "1.8"
& "3" != "1.8"
& "-1" != "1.8"
& "0" != "1.8"
& "4" != "1.8"
& "5" != "1.8"
& "0.5" != "1.8"
& "1000" != "1.8"
& "1000000" != "1.8"
& "1000000000" != "1.8"
& "1000000000000" != "1.8"
& "0.001" != "1.8"
& "0.000001" != "1.8"
& "0.000000001" != "1.8"
& "0.000000000001" != "1.8"
& "0.01" != "1.8"
& "746" != "1.8"
& "273.15" != "1.8"
& "32" != "1.8"
& "1" != "24"
& "2" != "24"
& "3" != "24"
& "-1" != "24"
& "0" != "24"
& "4" != "24"
& "5" != "24"
& "0.5" != "24"
& "1000" != "24"
& "1000000" != "24"
& "1000000000" != "24"
& "1000000000000" != "24"
& "0.001" != "24"
& "0.000001" != "24"
& "0.000000001" != "24"
& "0.000000000001" != "24"
& "0.01" != "24"
& "746" != "24"
& "273.15" != "24"
& "32" != "24"
& "1.8" != "24"
& "1" != "60"
& "2" != "60"
& "3" != "60"
& "-1" != "60"
& "0" != "60"
& "4" != "60"
& "5" != "60"
& "0.5" != "60"
& "1000" != "60"
& "1000000" != "60"
& "1000000000" != "60"
& "1000000000000" != "60"
& "0.001" != "60"
& "0.000001" != "60"
& "0.000000001" != "60"
& "0.000000000001" != "60"
& "0.01" != "60"
& "746" != "60"
& "273.15" != "60"
& "32" != "60"
& "1.8" != "60"
& "24" != "60"
& "1" != "7"
& "2" != "7"
& "3" != "7"
& "-1" != "7"
& "0" != "7"
& "4" != "7"
& "5" != "7"
& "0.5" != "7"
& "1000" != "7"
& "1000000" != "7"
& "1000000000" != "7"
& "1000000000000" != "7"
& "0.001" != "7"
& "0.000001" != "7"
& "0.000000001" != "7"
& "0.000000000001" != "7"
& "0.01" != "7"
& "746" != "7"
& "273.15" != "7"
& "32" != "7"
& "1.8" != "7"
& "24" != "7"
& "60" != "7"
& "1" != "28"
& "2" != "28"
& "3" != "28"
& "-1" != "28"
& "0" != "28"
& "4" != "28"
& "5" != "28"
& "0.5" != "28"
& "1000" != "28"
& "1000000" != "28"
& "1000000000" != "28"
& "1000000000000" != "28"
& "0.001" != "28"
& "0.000001" != "28"
& "0.000000001" != "28"
& "0.000000000001" != "28"
& "0.01" != "28"
& "746" != "28"
& "273.15" != "28"
& "32" != "28"
& "1.8" != "28"
& "24" != "28"
& "60" != "28"
& "7" != "28"
& "1" != "31"
& "2" != "31"
& "3" != "31"
& "-1" != "31"
& "0" != "31"
& "4" != "31"
& "5" != "31"
& "0.5" != "31"
& "1000" != "31"
& "1000000" != "31"
& "1000000000" != "31"
& "1000000000000" != "31"
& "0.001" != "31"
& "0.000001" != "31"
& "0.000000001" != "31"
& "0.000000000001" != "31"
& "0.01" != "31"
& "746" != "31"
& "273.15" != "31"
& "32" != "31"
& "1.8" != "31"
& "24" != "31"
& "60" != "31"
& "7" != "31"
& "28" != "31"
& "1" != "365"
& "2" != "365"
& "3" != "365"
& "-1" != "365"
& "0" != "365"
& "4" != "365"
& "5" != "365"
& "0.5" != "365"
& "1000" != "365"
& "1000000" != "365"
& "1000000000" != "365"
& "1000000000000" != "365"
& "0.001" != "365"
& "0.000001" != "365"
& "0.000000001" != "365"
& "0.000000000001" != "365"
& "0.01" != "365"
& "746" != "365"
& "273.15" != "365"
& "32" != "365"
& "1.8" != "365"
& "24" != "365"
& "60" != "365"
& "7" != "365"
& "28" != "365"
& "31" != "365"
& "1" != "1.6605402E-24"
& "2" != "1.6605402E-24"
& "3" != "1.6605402E-24"
& "-1" != "1.6605402E-24"
& "0" != "1.6605402E-24"
& "4" != "1.6605402E-24"
& "5" != "1.6605402E-24"
& "0.5" != "1.6605402E-24"
& "1000" != "1.6605402E-24"
& "1000000" != "1.6605402E-24"
& "1000000000" != "1.6605402E-24"
& "1000000000000" != "1.6605402E-24"
& "0.001" != "1.6605402E-24"
& "0.000001" != "1.6605402E-24"
& "0.000000001" != "1.6605402E-24"
& "0.000000000001" != "1.6605402E-24"
& "0.01" != "1.6605402E-24"
& "746" != "1.6605402E-24"
& "273.15" != "1.6605402E-24"
& "32" != "1.6605402E-24"
& "1.8" != "1.6605402E-24"
& "24" != "1.6605402E-24"
& "60" != "1.6605402E-24"
& "7" != "1.6605402E-24"
& "28" != "1.6605402E-24"
& "31" != "1.6605402E-24"
& "365" != "1.6605402E-24"
& "1" != "1.60217733E-19"
& "2" != "1.60217733E-19"
& "3" != "1.60217733E-19"
& "-1" != "1.60217733E-19"
& "0" != "1.60217733E-19"
& "4" != "1.60217733E-19"
& "5" != "1.60217733E-19"
& "0.5" != "1.60217733E-19"
& "1000" != "1.60217733E-19"
& "1000000" != "1.60217733E-19"
& "1000000000" != "1.60217733E-19"
& "1000000000000" != "1.60217733E-19"
& "0.001" != "1.60217733E-19"
& "0.000001" != "1.60217733E-19"
& "0.000000001" != "1.60217733E-19"
& "0.000000000001" != "1.60217733E-19"
& "0.01" != "1.60217733E-19"
& "746" != "1.60217733E-19"
& "273.15" != "1.60217733E-19"
& "32" != "1.60217733E-19"
& "1.8" != "1.60217733E-19"
& "24" != "1.60217733E-19"
& "60" != "1.60217733E-19"
& "7" != "1.60217733E-19"
& "28" != "1.60217733E-19"
& "31" != "1.60217733E-19"
& "365" != "1.60217733E-19"
& "1.6605402E-24" != "1.60217733E-19"
& "1" != "1.0E-10"
& "2" != "1.0E-10"
& "3" != "1.0E-10"
& "-1" != "1.0E-10"
& "0" != "1.0E-10"
& "4" != "1.0E-10"
& "5" != "1.0E-10"
& "0.5" != "1.0E-10"
& "1000" != "1.0E-10"
& "1000000" != "1.0E-10"
& "1000000000" != "1.0E-10"
& "1000000000000" != "1.0E-10"
& "0.001" != "1.0E-10"
& "0.000001" != "1.0E-10"
& "0.000000001" != "1.0E-10"
& "0.000000000001" != "1.0E-10"
& "0.01" != "1.0E-10"
& "746" != "1.0E-10"
& "273.15" != "1.0E-10"
& "32" != "1.0E-10"
& "1.8" != "1.0E-10"
& "24" != "1.0E-10"
& "60" != "1.0E-10"
& "7" != "1.0E-10"
& "28" != "1.0E-10"
& "31" != "1.0E-10"
& "365" != "1.0E-10"
& "1.6605402E-24" != "1.0E-10"
& "1.60217733E-19" != "1.0E-10"
& "1" != "0.3048"
& "2" != "0.3048"
& "3" != "0.3048"
& "-1" != "0.3048"
& "0" != "0.3048"
& "4" != "0.3048"
& "5" != "0.3048"
& "0.5" != "0.3048"
& "1000" != "0.3048"
& "1000000" != "0.3048"
& "1000000000" != "0.3048"
& "1000000000000" != "0.3048"
& "0.001" != "0.3048"
& "0.000001" != "0.3048"
& "0.000000001" != "0.3048"
& "0.000000000001" != "0.3048"
& "0.01" != "0.3048"
& "746" != "0.3048"
& "273.15" != "0.3048"
& "32" != "0.3048"
& "1.8" != "0.3048"
& "24" != "0.3048"
& "60" != "0.3048"
& "7" != "0.3048"
& "28" != "0.3048"
& "31" != "0.3048"
& "365" != "0.3048"
& "1.6605402E-24" != "0.3048"
& "1.60217733E-19" != "0.3048"
& "1.0E-10" != "0.3048"
& "1" != "0.0254"
& "2" != "0.0254"
& "3" != "0.0254"
& "-1" != "0.0254"
& "0" != "0.0254"
& "4" != "0.0254"
& "5" != "0.0254"
& "0.5" != "0.0254"
& "1000" != "0.0254"
& "1000000" != "0.0254"
& "1000000000" != "0.0254"
& "1000000000000" != "0.0254"
& "0.001" != "0.0254"
& "0.000001" != "0.0254"
& "0.000000001" != "0.0254"
& "0.000000000001" != "0.0254"
& "0.01" != "0.0254"
& "746" != "0.0254"
& "273.15" != "0.0254"
& "32" != "0.0254"
& "1.8" != "0.0254"
& "24" != "0.0254"
& "60" != "0.0254"
& "7" != "0.0254"
& "28" != "0.0254"
& "31" != "0.0254"
& "365" != "0.0254"
& "1.6605402E-24" != "0.0254"
& "1.60217733E-19" != "0.0254"
& "1.0E-10" != "0.0254"
& "0.3048" != "0.0254"
& "1" != "1609.344"
& "2" != "1609.344"
& "3" != "1609.344"
& "-1" != "1609.344"
& "0" != "1609.344"
& "4" != "1609.344"
& "5" != "1609.344"
& "0.5" != "1609.344"
& "1000" != "1609.344"
& "1000000" != "1609.344"
& "1000000000" != "1609.344"
& "1000000000000" != "1609.344"
& "0.001" != "1609.344"
& "0.000001" != "1609.344"
& "0.000000001" != "1609.344"
& "0.000000000001" != "1609.344"
& "0.01" != "1609.344"
& "746" != "1609.344"
& "273.15" != "1609.344"
& "32" != "1609.344"
& "1.8" != "1609.344"
& "24" != "1609.344"
& "60" != "1609.344"
& "7" != "1609.344"
& "28" != "1609.344"
& "31" != "1609.344"
& "365" != "1609.344"
& "1.6605402E-24" != "1609.344"
& "1.60217733E-19" != "1609.344"
& "1.0E-10" != "1609.344"
& "0.3048" != "1609.344"
& "0.0254" != "1609.344"
& "1" != "3.785411784"
& "2" != "3.785411784"
& "3" != "3.785411784"
& "-1" != "3.785411784"
& "0" != "3.785411784"
& "4" != "3.785411784"
& "5" != "3.785411784"
& "0.5" != "3.785411784"
& "1000" != "3.785411784"
& "1000000" != "3.785411784"
& "1000000000" != "3.785411784"
& "1000000000000" != "3.785411784"
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& "0.0254" != "12"
& "1609.344" != "12"
& "3.785411784" != "12"
& "8" != "12"
& "4.54609" != "12"
& "453.59237" != "12"
& "14593.90" != "12"
& "4.448222" != "12"
& "4.1868" != "12"
& "1055.05585262" != "12"
& "180" != "12"
& "360" != "12"
& "1024" != "12"
& "100" != "12"
& "400" != "12"
& "29" != "12"
& "30" != "12"
& "1" != "29.92"
& "2" != "29.92"
& "3" != "29.92"
& "-1" != "29.92"
& "0" != "29.92"
& "4" != "29.92"
& "5" != "29.92"
& "0.5" != "29.92"
& "1000" != "29.92"
& "1000000" != "29.92"
& "1000000000" != "29.92"
& "1000000000000" != "29.92"
& "0.001" != "29.92"
& "0.000001" != "29.92"
& "0.000000001" != "29.92"
& "0.000000000001" != "29.92"
& "0.01" != "29.92"
& "746" != "29.92"
& "273.15" != "29.92"
& "32" != "29.92"
& "1.8" != "29.92"
& "24" != "29.92"
& "60" != "29.92"
& "7" != "29.92"
& "28" != "29.92"
& "31" != "29.92"
& "365" != "29.92"
& "1.6605402E-24" != "29.92"
& "1.60217733E-19" != "29.92"
& "1.0E-10" != "29.92"
& "0.3048" != "29.92"
& "0.0254" != "29.92"
& "1609.344" != "29.92"
& "3.785411784" != "29.92"
& "8" != "29.92"
& "4.54609" != "29.92"
& "453.59237" != "29.92"
& "14593.90" != "29.92"
& "4.448222" != "29.92"
& "4.1868" != "29.92"
& "1055.05585262" != "29.92"
& "180" != "29.92"
& "360" != "29.92"
& "1024" != "29.92"
& "100" != "29.92"
& "400" != "29.92"
& "29" != "29.92"
& "30" != "29.92"
& "12" != "29.92"
& "1" != "6"
& "2" != "6"
& "3" != "6"
& "-1" != "6"
& "0" != "6"
& "4" != "6"
& "5" != "6"
& "0.5" != "6"
& "1000" != "6"
& "1000000" != "6"
& "1000000000" != "6"
& "1000000000000" != "6"
& "0.001" != "6"
& "0.000001" != "6"
& "0.000000001" != "6"
& "0.000000000001" != "6"
& "0.01" != "6"
& "746" != "6"
& "273.15" != "6"
& "32" != "6"
& "1.8" != "6"
& "24" != "6"
& "60" != "6"
& "7" != "6"
& "28" != "6"
& "31" != "6"
& "365" != "6"
& "1.6605402E-24" != "6"
& "1.60217733E-19" != "6"
& "1.0E-10" != "6"
& "0.3048" != "6"
& "0.0254" != "6"
& "1609.344" != "6"
& "3.785411784" != "6"
& "8" != "6"
& "4.54609" != "6"
& "453.59237" != "6"
& "14593.90" != "6"
& "4.448222" != "6"
& "4.1868" != "6"
& "1055.05585262" != "6"
& "180" != "6"
& "360" != "6"
& "1024" != "6"
& "100" != "6"
& "400" != "6"
& "29" != "6"
& "30" != "6"
& "12" != "6"
& "29.92" != "6" ),
introduced(definition,[],[distinctness_axiom]) ).
fof(f7222,plain,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(flattening,[],[f7220]) ).
fof(f7241,plain,
! [X0] :
( s__SignumFn(X0) = "-1"
| ~ s__instance(X0,s__NegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(ennf_transformation,[],[f3412]) ).
fof(f7242,plain,
! [X0] :
( s__SignumFn(X0) = "-1"
| ~ s__instance(X0,s__NegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(flattening,[],[f7241]) ).
fof(f7259,plain,
! [X0] :
( s__SignumFn(X0) = "1"
| s__SignumFn(X0) = "0"
| ~ s__instance(X0,s__NonnegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(ennf_transformation,[],[f3410]) ).
fof(f7260,plain,
! [X0] :
( s__SignumFn(X0) = "1"
| s__SignumFn(X0) = "0"
| ~ s__instance(X0,s__NonnegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(flattening,[],[f7259]) ).
fof(f7466,definition,
! [X0,X1] :
( sP0(X0,X1)
<=> ( s__AbsoluteValueFn(X1) = X0
& s__instance(X1,s__RealNumber)
& s__instance(X0,s__RealNumber) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f7467,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ( s__instance(X1,s__NonnegativeRealNumber)
& X1 = X0 )
| ( s__instance(X1,s__NegativeRealNumber)
& X0 = minus("0",X1) ) ) ),
inference(definition_folding,[],[f3247,f7466]) ).
fof(f7468,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| s__AbsoluteValueFn(X1) != X0
| ~ s__instance(X1,s__RealNumber)
| ~ s__instance(X0,s__RealNumber) )
& ( ( s__AbsoluteValueFn(X1) = X0
& s__instance(X1,s__RealNumber)
& s__instance(X0,s__RealNumber) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f7466]) ).
fof(f7469,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| s__AbsoluteValueFn(X1) != X0
| ~ s__instance(X1,s__RealNumber)
| ~ s__instance(X0,s__RealNumber) )
& ( ( s__AbsoluteValueFn(X1) = X0
& s__instance(X1,s__RealNumber)
& s__instance(X0,s__RealNumber) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f7468]) ).
fof(f7470,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ s__instance(X1,s__NonnegativeRealNumber)
| X0 != X1 )
& ( ~ s__instance(X1,s__NegativeRealNumber)
| minus("0",X1) != X0 ) ) )
& ( ( s__instance(X1,s__NonnegativeRealNumber)
& X1 = X0 )
| ( s__instance(X1,s__NegativeRealNumber)
& X0 = minus("0",X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f7467]) ).
fof(f7471,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ s__instance(X1,s__NonnegativeRealNumber)
| X0 != X1 )
& ( ~ s__instance(X1,s__NegativeRealNumber)
| minus("0",X1) != X0 ) ) )
& ( ( s__instance(X1,s__NonnegativeRealNumber)
& X1 = X0 )
| ( s__instance(X1,s__NegativeRealNumber)
& X0 = minus("0",X1) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f7470]) ).
fof(f7487,plain,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(cnf_transformation,[],[f7222]) ).
fof(f7488,plain,
! [X0] :
( ~ s__instance(X0,s__NegativeRealNumber)
| "-1" = s__SignumFn(X0)
| ~ s__instance(X0,s__RealNumber) ),
inference(cnf_transformation,[],[f7242]) ).
fof(f7489,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| s__instance(X0,s__RealNumber) ),
inference(cnf_transformation,[],[f7469]) ).
fof(f7498,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ s__instance(X1,s__NonnegativeRealNumber)
| X0 != X1 ),
inference(cnf_transformation,[],[f7471]) ).
fof(f7505,plain,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
inference(cnf_transformation,[],[f7218]) ).
fof(f8789,plain,
"-1" != "0",
inference(cnf_transformation,[],[f7221]) ).
fof(f8795,plain,
"1" != "-1",
inference(cnf_transformation,[],[f7221]) ).
fof(f8800,plain,
! [X0] :
( ~ s__instance(X0,s__NonnegativeRealNumber)
| "0" = s__SignumFn(X0)
| "1" = s__SignumFn(X0)
| ~ s__instance(X0,s__RealNumber) ),
inference(cnf_transformation,[],[f7260]) ).
fof(f8944,plain,
! [X1] :
( ~ s__instance(X1,s__NonnegativeRealNumber)
| sP0(X1,X1) ),
inference(equality_resolution,[],[f7498]) ).
fof(f9023,plain,
sP0(s__Number3_1,s__Number3_1),
inference(resolution,[],[f8944,f7505]) ).
fof(f9054,definition,
( spl6_2
<=> s__instance(s__Number3_1,s__RealNumber) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f9056,plain,
( s__instance(s__Number3_1,s__RealNumber)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f9054]) ).
fof(f9063,plain,
s__instance(s__Number3_1,s__RealNumber),
inference(resolution,[],[f9023,f7489]) ).
fof(f9064,plain,
spl6_2,
inference(avatar_split_clause,[],[f9063,f9054]) ).
fof(f9327,plain,
( "-1" = s__SignumFn(s__Number3_1)
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(resolution,[],[f7488,f7487]) ).
fof(f9328,plain,
( "-1" = s__SignumFn(s__Number3_1)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f9327,f9056]) ).
fof(f9413,plain,
( "0" = s__SignumFn(s__Number3_1)
| "1" = s__SignumFn(s__Number3_1)
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(resolution,[],[f8800,f7505]) ).
fof(f9414,plain,
( "0" = s__SignumFn(s__Number3_1)
| "1" = s__SignumFn(s__Number3_1)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f9413,f9056]) ).
fof(f9415,plain,
( "-1" = "0"
| "1" = s__SignumFn(s__Number3_1)
| ~ spl6_2 ),
inference(forward_demodulation,[],[f9414,f9328]) ).
fof(f9416,plain,
( "1" = s__SignumFn(s__Number3_1)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f9415,f8789]) ).
fof(f9417,plain,
( "1" = "-1"
| ~ spl6_2 ),
inference(superposition,[],[f9416,f9328]) ).
fof(f9421,plain,
( $false
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f9417,f8795]) ).
fof(f9422,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f9421]) ).
cnf(s2,plain,
spl6_2,
inference(sat_conversion,[],[f9064]) ).
cnf(s22,plain,
~ spl6_2,
inference(sat_conversion,[],[f9422]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s2,s22]) ).
fof(f9423,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR077+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 22:26:49 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/0.88 % (3866045)Detected formulas, will run a generic FOF schedule.
% 2.50/0.88 % (3866050)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1914843652:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.50/0.88 % (3866052)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=794660527:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.50/0.88 % (3866054)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1335153370:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.50/0.88 % (3866056)dis-21_1_sil=8000:lcm=predicate:random_seed=2820969057:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.50/0.88 % (3866055)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2318745874:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.50/0.88 % (3866053)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2923359351:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.50/0.88 % (3866051)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=565221677:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.50/0.88 % (3866053)Refutation not found, incomplete strategy
% 2.50/0.88 % (3866053)------------------------------
% 2.50/0.88 % (3866053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/0.88 % (3866053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.88 % (3866053)CaDiCaL version: 2.1.3
% 2.50/0.88 % (3866053)Termination reason: Refutation not found, incomplete strategy
% 2.50/0.88 % (3866053)Time elapsed: 0.011 s
% 2.50/0.88 % (3866053)Peak memory usage: 94 MB
% 2.50/0.88 % (3866053)Instructions burned: 38 (million)
% 2.50/0.88 % (3866054)Instruction limit reached!
% 2.50/0.88 % (3866054)------------------------------
% 2.50/0.88 % (3866054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/0.88 % (3866054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.88 % (3866054)CaDiCaL version: 2.1.3
% 2.50/0.88 % (3866054)Termination reason: Instruction limit
% 2.50/0.88 % (3866054)Termination phase: Saturation
% 2.50/0.88 % (3866054)Time elapsed: 0.036 s
% 2.50/0.88 % (3866054)Peak memory usage: 94 MB
% 2.50/0.88 % (3866054)Instructions burned: 121 (million)
% 2.50/0.88 % (3866056)Instruction limit reached!
% 2.50/0.88 % (3866056)------------------------------
% 2.50/0.88 % (3866056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/0.88 % (3866056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.88 % (3866056)CaDiCaL version: 2.1.3
% 2.50/0.88 % (3866056)Termination reason: Instruction limit
% 2.50/0.88 % (3866056)Termination phase: Equality proxy
% 2.50/0.88 % (3866056)Time elapsed: 0.042 s
% 2.50/0.88 % (3866056)Peak memory usage: 94 MB
% 2.50/0.88 % (3866056)Instructions burned: 129 (million)
% 2.50/0.88 % (3866055)Instruction limit reached!
% 2.50/0.88 % (3866055)------------------------------
% 2.50/0.88 % (3866055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/0.88 % (3866055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.88 % (3866055)CaDiCaL version: 2.1.3
% 2.50/0.88 % (3866055)Termination reason: Instruction limit
% 2.50/0.88 % (3866055)Termination phase: Preprocessing 3
% 2.50/0.88 % (3866055)Time elapsed: 0.045 s
% 2.50/0.88 % (3866055)Peak memory usage: 94 MB
% 2.50/0.88 % (3866055)Instructions burned: 142 (million)
% 2.50/0.88 % (3866064)lrs+10_1_sil=8000:sp=occurrence:random_seed=3478186774:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.50/0.88 % (3866053)------------------------------
% 2.50/0.88 % (3866053)------------------------------
% 2.50/0.88 % (3866066)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3705822490:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.50/0.88 % (3866065)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1348447361:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.50/0.88 % (3866064)First to succeed.
% 2.50/0.88 % (3866064)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3866045"
% 2.50/0.88 % (3866065)Refutation not found, incomplete strategy
% 3.68/0.97 % (3866065)------------------------------
% 3.68/0.97 % (3866065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/0.97 % (3866065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.97 % (3866065)CaDiCaL version: 2.1.3
% 3.68/0.97 % (3866065)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.97 % (3866065)Time elapsed: 0.023 s
% 3.68/0.97 % (3866065)Peak memory usage: 95 MB
% 3.68/0.97 % (3866065)Instructions burned: 83 (million)
% 3.68/0.97 % (3866066)Instruction limit reached!
% 3.68/0.97 % (3866066)------------------------------
% 3.68/0.97 % (3866066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/0.97 % (3866066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.97 % (3866066)CaDiCaL version: 2.1.3
% 3.68/0.97 % (3866066)Termination reason: Instruction limit
% 3.68/0.97 % (3866066)Termination phase: Saturation
% 3.68/0.97 % (3866066)Time elapsed: 0.082 s
% 3.68/0.97 % (3866066)Peak memory usage: 95 MB
% 3.68/0.97 % (3866066)Instructions burned: 327 (million)
% 3.68/0.97 % (3866068)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2505381071:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.68/0.97 % (3866064)Refutation found. Thanks to Tanya!
% 3.68/0.97 % SZS status Theorem for theBenchmark
% 3.68/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/0.97 % (3866064)------------------------------
% 3.68/0.97 % (3866064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/0.97 % (3866064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.97 % (3866064)CaDiCaL version: 2.1.3
% 3.68/0.97 % (3866064)Termination reason: Refutation
% 3.68/0.97 % (3866064)Time elapsed: 0.033 s
% 3.68/0.97 % (3866064)Peak memory usage: 97 MB
% 3.68/0.97 % (3866064)Instructions burned: 108 (million)
% 3.68/0.97 % (3866064)------------------------------
% 3.68/0.97 % (3866064)------------------------------
% 3.68/0.97 % (3866045)Success in time 0.567 s
% 3.68/0.97 % Vampire exiting
%------------------------------------------------------------------------------