%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM464+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:24:25 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 76 ( 30 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 36 ~; 31 |; 15 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
fof(f28,conjecture,
( xm != sz00
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sz10,X0) = xm )
| sdtlseqdt0(sz10,xm) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f29,negated_conjecture,
~ ( xm != sz00
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sz10,X0) = xm )
| sdtlseqdt0(sz10,xm) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f65,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f66,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f65]) ).
fof(f71,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f72,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtpldt0(sz10,X0) )
& ~ sdtlseqdt0(sz10,xm)
& xm != sz00 ),
inference(ennf_transformation,[],[f29]) ).
fof(f74,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtpldt0(sz10,X0) )
& ~ sdtlseqdt0(sz10,xm)
& xm != sz00 ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X0 != X1
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f118,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f72]) ).
fof(f120,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f122,plain,
sz00 != xm,
inference(cnf_transformation,[],[f74]) ).
fof(f123,plain,
~ sdtlseqdt0(sz10,xm),
inference(cnf_transformation,[],[f74]) ).
fof(f128,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X1) ),
inference(equality_resolution,[],[f109]) ).
fof(f129,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f128]) ).
fof(f239,plain,
( ~ aNaturalNumber0(xm)
| sz10 = xm
| sz00 = xm ),
inference(resolution,[],[f118,f123]) ).
fof(f243,plain,
( sz10 = xm
| sz00 = xm ),
inference(forward_subsumption_resolution,[],[f239,f120]) ).
fof(f244,plain,
sz10 = xm,
inference(forward_subsumption_resolution,[],[f243,f122]) ).
fof(f247,plain,
~ sdtlseqdt0(sz10,sz10),
inference(superposition,[],[f123,f244]) ).
fof(f263,plain,
~ aNaturalNumber0(sz10),
inference(resolution,[],[f247,f129]) ).
fof(f264,plain,
$false,
inference(forward_subsumption_resolution,[],[f263,f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM464+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:03:27 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % (2722337)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2722346)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2595580952:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (2722346) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2722337-2722346"...
% 0.10/0.45 % (2722346)...printing done.
% 0.10/0.45 % (2722346)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2722346)------------------------------
% 0.10/0.45 % (2722346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2722346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2722346)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2722346)Termination reason: Refutation
% 0.10/0.45 % (2722346)Time elapsed: 0.004 s
% 0.10/0.45 % (2722346)Peak memory usage: 12 MB
% 0.10/0.45 % (2722346)Instructions burned: 9 (million)
% 0.10/0.45 % (2722337)Success in time 0.03 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------