%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM472+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:24:26 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 17 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 16 ( 7 ~; 4 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f39,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = sdtpldt0(xm,xn) )
| sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = sdtpldt0(xm,xn) )
| sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f99,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,xn) != sdtpldt0(xm,X0) )
& ~ sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f154,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f170,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,xn) != sdtpldt0(xm,X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f182,plain,
sdtpldt0(xm,xn) != sdtpldt0(xm,xn),
inference(resolution,[],[f154,f170]) ).
fof(f183,plain,
$false,
inference(trivial_inequality_removal,[],[f182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM472+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:04:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % (1129152)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1129161)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1943703309:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (1129161) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1129152-1129161"...
% 0.11/0.45 % (1129158)% WARNING: option uhcvi not known.
% 0.11/0.45 % (1129161)...printing done.
% 0.11/0.45 % (1129161)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (1129161)------------------------------
% 0.11/0.45 % (1129161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1129161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1129161)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1129161)Termination reason: Refutation
% 0.11/0.45 % (1129161)Time elapsed: 0.002 s
% 0.11/0.45 % (1129161)Peak memory usage: 12 MB
% 0.11/0.45 % (1129161)Instructions burned: 6 (million)
% 0.11/0.45 % (1129152)Success in time 0.035 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------